Properties

Label 546.2.bv.a.515.8
Level $546$
Weight $2$
Character 546.515
Analytic conductor $4.360$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $8$

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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 515.8
Character \(\chi\) \(=\) 546.515
Dual form 546.2.bv.a.317.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 - 0.258819i) q^{2} +(-0.357658 - 1.69472i) q^{3} +(0.866025 + 0.500000i) q^{4} +(3.24035 + 0.868248i) q^{5} +(-0.0931546 + 1.72954i) q^{6} +(-1.25441 - 2.32948i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(-2.74416 + 1.21226i) q^{9} +O(q^{10})\) \(q+(-0.965926 - 0.258819i) q^{2} +(-0.357658 - 1.69472i) q^{3} +(0.866025 + 0.500000i) q^{4} +(3.24035 + 0.868248i) q^{5} +(-0.0931546 + 1.72954i) q^{6} +(-1.25441 - 2.32948i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(-2.74416 + 1.21226i) q^{9} +(-2.90521 - 1.67733i) q^{10} +(-6.11240 + 1.63781i) q^{11} +(0.537619 - 1.64650i) q^{12} +(-0.0266902 - 3.60545i) q^{13} +(0.608755 + 2.57477i) q^{14} +(0.312501 - 5.80202i) q^{15} +(0.500000 + 0.866025i) q^{16} +(2.03425 - 3.52342i) q^{17} +(2.96441 - 0.460715i) q^{18} +(0.600144 - 2.23977i) q^{19} +(2.37210 + 2.37210i) q^{20} +(-3.49916 + 2.95903i) q^{21} +6.32802 q^{22} +(-2.74170 - 4.74876i) q^{23} +(-0.945446 + 1.45125i) 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} +(-1.80353 + 5.52344i) q^{30} +(1.65420 - 0.443241i) q^{31} +(-0.258819 - 0.965926i) q^{32} +(4.96179 + 9.77304i) 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} +(-6.10069 + 1.33475i) q^{39} +(-1.67733 - 2.90521i) q^{40} +(7.12298 - 7.12298i) q^{41} +(4.14578 - 1.95256i) q^{42} +2.56093i q^{43} +(-6.11240 - 1.63781i) q^{44} +(-9.94458 + 1.54554i) 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} +(-6.69878 - 2.18730i) q^{51} +(1.77961 - 3.13576i) q^{52} +(2.68874 + 1.55235i) q^{53} +(-1.84103 - 4.85907i) q^{54} -21.2283 q^{55} +(-0.760185 + 2.53419i) q^{56} +(-4.01043 - 0.216005i) q^{57} +(0.0330492 - 0.123341i) q^{58} +(-6.18587 + 1.65750i) q^{59} +(3.17164 - 4.86845i) q^{60} +(1.79532 + 3.10959i) q^{61} -1.71255 q^{62} +(6.26624 + 4.87178i) q^{63} +1.00000i q^{64} +(3.04394 - 11.7061i) q^{65} +(-2.26327 - 10.7242i) 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} +(2.79761 + 1.08322i) q^{72} +(1.09357 + 4.08124i) q^{73} +(6.79858 + 3.92516i) q^{74} +(3.36211 - 10.2967i) q^{75} +(1.63962 - 1.63962i) q^{76} +(11.4827 + 12.1842i) q^{77} +(6.23827 + 0.289703i) q^{78} +(3.01834 + 5.22792i) q^{79} +(0.868248 + 3.24035i) q^{80} +(6.06084 - 6.65329i) q^{81} +(-8.72383 + 5.03671i) q^{82} +(-0.395201 + 0.395201i) q^{83} +(-4.50988 + 0.813017i) q^{84} +(9.65087 - 9.65087i) q^{85} +(0.662816 - 2.47366i) q^{86} +(0.216403 - 0.0456702i) 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} +(-1.34281 - 2.64487i) q^{93} +(-4.90911 + 8.50283i) q^{94} +(3.88935 - 6.73655i) q^{95} +(-1.54441 + 0.784098i) q^{96} +(2.43118 + 2.43118i) q^{97} +(5.23422 - 4.64789i) q^{98} +(14.7879 - 11.9043i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q - 16 q^{7} + O(q^{10}) \) \( 144 q - 16 q^{7} + 72 q^{16} + 16 q^{18} + 8 q^{19} + 8 q^{21} + 24 q^{27} - 8 q^{28} - 8 q^{31} + 12 q^{33} - 8 q^{37} + 16 q^{39} - 40 q^{45} + 8 q^{46} + 8 q^{52} - 12 q^{54} - 32 q^{55} + 16 q^{57} + 8 q^{58} - 32 q^{61} - 40 q^{63} - 32 q^{66} - 8 q^{67} + 16 q^{72} + 80 q^{73} - 16 q^{76} + 16 q^{78} - 112 q^{79} - 48 q^{81} + 16 q^{84} - 80 q^{85} + 96 q^{87} - 32 q^{91} + 36 q^{93} - 64 q^{94} - 144 q^{97} - 32 q^{99} + O(q^{100}) \)

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
\(3\) −0.357658 1.69472i −0.206494 0.978448i
\(4\) 0.866025 + 0.500000i 0.433013 + 0.250000i
\(5\) 3.24035 + 0.868248i 1.44913 + 0.388292i 0.895720 0.444619i \(-0.146661\pi\)
0.553407 + 0.832911i \(0.313327\pi\)
\(6\) −0.0931546 + 1.72954i −0.0380302 + 0.706083i
\(7\) −1.25441 2.32948i −0.474123 0.880459i
\(8\) −0.707107 0.707107i −0.250000 0.250000i
\(9\) −2.74416 + 1.21226i −0.914720 + 0.404088i
\(10\) −2.90521 1.67733i −0.918710 0.530417i
\(11\) −6.11240 + 1.63781i −1.84296 + 0.493819i −0.999087 0.0427270i \(-0.986395\pi\)
−0.843871 + 0.536546i \(0.819729\pi\)
\(12\) 0.537619 1.64650i 0.155197 0.475304i
\(13\) −0.0266902 3.60545i −0.00740253 0.999973i
\(14\) 0.608755 + 2.57477i 0.162697 + 0.688135i
\(15\) 0.312501 5.80202i 0.0806875 1.49808i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) 2.03425 3.52342i 0.493377 0.854555i −0.506594 0.862185i \(-0.669096\pi\)
0.999971 + 0.00763036i \(0.00242884\pi\)
\(18\) 2.96441 0.460715i 0.698719 0.108592i
\(19\) 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
\(21\) −3.49916 + 2.95903i −0.763579 + 0.645714i
\(22\) 6.32802 1.34914
\(23\) −2.74170 4.74876i −0.571684 0.990185i −0.996393 0.0848557i \(-0.972957\pi\)
0.424709 0.905330i \(-0.360376\pi\)
\(24\) −0.945446 + 1.45125i −0.192988 + 0.296236i
\(25\) 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 \(0.00377395\pi\)
−0.999930 + 0.0118559i \(0.996226\pi\)
\(30\) −1.80353 + 5.52344i −0.329277 + 1.00844i
\(31\) 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
\(33\) 4.96179 + 9.77304i 0.863736 + 1.70127i
\(34\) −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
\(39\) −6.10069 + 1.33475i −0.976892 + 0.213732i
\(40\) −1.67733 2.90521i −0.265209 0.459355i
\(41\) 7.12298 7.12298i 1.11242 1.11242i 0.119600 0.992822i \(-0.461839\pi\)
0.992822 0.119600i \(-0.0381613\pi\)
\(42\) 4.14578 1.95256i 0.639708 0.301286i
\(43\) 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
\(45\) −9.94458 + 1.54554i −1.48245 + 0.230395i
\(46\) 1.41921 + 5.29656i 0.209251 + 0.780935i
\(47\) 2.54114 9.48367i 0.370664 1.38334i −0.488914 0.872332i \(-0.662607\pi\)
0.859578 0.511004i \(-0.170726\pi\)
\(48\) 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
\(51\) −6.69878 2.18730i −0.938017 0.306283i
\(52\) 1.77961 3.13576i 0.246788 0.434851i
\(53\) 2.68874 + 1.55235i 0.369327 + 0.213231i 0.673165 0.739493i \(-0.264935\pi\)
−0.303837 + 0.952724i \(0.598268\pi\)
\(54\) −1.84103 4.85907i −0.250533 0.661236i
\(55\) −21.2283 −2.86243
\(56\) −0.760185 + 2.53419i −0.101584 + 0.338645i
\(57\) −4.01043 0.216005i −0.531195 0.0286106i
\(58\) 0.0330492 0.123341i 0.00433957 0.0161955i
\(59\) −6.18587 + 1.65750i −0.805332 + 0.215788i −0.637924 0.770100i \(-0.720207\pi\)
−0.167408 + 0.985888i \(0.553540\pi\)
\(60\) 3.17164 4.86845i 0.409458 0.628514i
\(61\) 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
\(63\) 6.26624 + 4.87178i 0.789472 + 0.613786i
\(64\) 1.00000i 0.125000i
\(65\) 3.04394 11.7061i 0.377555 1.45196i
\(66\) −2.26327 10.7242i −0.278589 1.32006i
\(67\) 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 \(0.510958\pi\)
−0.999408 + 0.0344187i \(0.989042\pi\)
\(72\) 2.79761 + 1.08322i 0.329702 + 0.127658i
\(73\) 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
\(75\) 3.36211 10.2967i 0.388223 1.18896i
\(76\) 1.63962 1.63962i 0.188078 0.188078i
\(77\) 11.4827 + 12.1842i 1.30858 + 1.38852i
\(78\) 6.23827 + 0.289703i 0.706346 + 0.0328024i
\(79\) 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
\(81\) 6.06084 6.65329i 0.673426 0.739254i
\(82\) −8.72383 + 5.03671i −0.963386 + 0.556211i
\(83\) −0.395201 + 0.395201i −0.0433790 + 0.0433790i −0.728464 0.685085i \(-0.759765\pi\)
0.685085 + 0.728464i \(0.259765\pi\)
\(84\) −4.50988 + 0.813017i −0.492068 + 0.0887075i
\(85\) 9.65087 9.65087i 1.04678 1.04678i
\(86\) 0.662816 2.47366i 0.0714733 0.266742i
\(87\) 0.216403 0.0456702i 0.0232008 0.00489636i
\(88\) 5.48023 + 3.16401i 0.584194 + 0.337285i
\(89\) −0.836494 + 3.12184i −0.0886682 + 0.330914i −0.995984 0.0895366i \(-0.971461\pi\)
0.907315 + 0.420451i \(0.138128\pi\)
\(90\) 10.0057 + 1.08097i 1.05470 + 0.113944i
\(91\) −8.36533 + 4.58489i −0.876925 + 0.480627i
\(92\) 5.48340i 0.571684i
\(93\) −1.34281 2.64487i −0.139243 0.274261i
\(94\) −4.90911 + 8.50283i −0.506336 + 0.877000i
\(95\) 3.88935 6.73655i 0.399039 0.691156i
\(96\) −1.54441 + 0.784098i −0.157625 + 0.0800266i
\(97\) 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
\(99\) 14.7879 11.9043i 1.48624 1.19642i
\(100\) 3.12685 + 5.41586i 0.312685 + 0.541586i
\(101\) 0.867612 1.50275i 0.0863306 0.149529i −0.819627 0.572898i \(-0.805819\pi\)
0.905957 + 0.423369i \(0.139153\pi\)
\(102\) 5.90441 + 3.84654i 0.584624 + 0.380864i
\(103\) 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
\(105\) −13.9077 + 6.55015i −1.35725 + 0.639229i
\(106\) −2.19535 2.19535i −0.213231 0.213231i
\(107\) 15.1052 8.72097i 1.46027 0.843088i 0.461248 0.887271i \(-0.347402\pi\)
0.999023 + 0.0441826i \(0.0140683\pi\)
\(108\) 0.520678 + 5.17000i 0.0501022 + 0.497483i
\(109\) 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
\(111\) −0.731294 + 13.5775i −0.0694114 + 1.28872i
\(112\) 1.39018 2.25109i 0.131360 0.212708i
\(113\) 0.606621i 0.0570661i −0.999593 0.0285331i \(-0.990916\pi\)
0.999593 0.0285331i \(-0.00908359\pi\)
\(114\) 3.81787 + 1.24662i 0.357577 + 0.116757i
\(115\) −4.76095 17.7681i −0.443961 1.65688i
\(116\) −0.0638462 + 0.110585i −0.00592797 + 0.0102675i
\(117\) 4.44400 + 9.86159i 0.410848 + 0.911704i
\(118\) 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
\(123\) −14.6191 9.52387i −1.31816 0.858738i
\(124\) 1.65420 + 0.443241i 0.148551 + 0.0398042i
\(125\) 2.97389 + 2.97389i 0.265993 + 0.265993i
\(126\) −4.79181 6.32760i −0.426889 0.563707i
\(127\) 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
\(129\) 4.34006 0.915937i 0.382121 0.0806437i
\(130\) −5.96998 + 10.5194i −0.523602 + 0.922611i
\(131\) −3.33860 + 1.92754i −0.291695 + 0.168410i −0.638706 0.769451i \(-0.720530\pi\)
0.347011 + 0.937861i \(0.387197\pi\)
\(132\) −0.589485 + 10.9446i −0.0513080 + 0.952604i
\(133\) −5.97031 + 1.41157i −0.517692 + 0.122399i
\(134\) −3.26786 −0.282300
\(135\) 6.17602 + 16.3005i 0.531547 + 1.40292i
\(136\) −3.92986 + 1.05300i −0.336983 + 0.0902943i
\(137\) −2.36895 + 0.634758i −0.202393 + 0.0542311i −0.358591 0.933495i \(-0.616743\pi\)
0.156198 + 0.987726i \(0.450076\pi\)
\(138\) 8.46860 4.29952i 0.720895 0.365999i
\(139\) 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
\(141\) −16.9810 0.914613i −1.43006 0.0770243i
\(142\) 10.6690 6.15973i 0.895320 0.516913i
\(143\) 6.06820 + 21.9943i 0.507448 + 1.83925i
\(144\) −2.42193 1.77038i −0.201828 0.147532i
\(145\) −0.110869 + 0.413767i −0.00920714 + 0.0343615i
\(146\) 4.22521i 0.349681i
\(147\) 11.2824 + 4.43937i 0.930555 + 0.366153i
\(148\) −5.55102 5.55102i −0.456291 0.456291i
\(149\) 5.67339 + 1.52018i 0.464783 + 0.124538i 0.483608 0.875285i \(-0.339326\pi\)
−0.0188255 + 0.999823i \(0.505993\pi\)
\(150\) −5.91254 + 9.07569i −0.482756 + 0.741027i
\(151\) −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
\(156\) −5.95073 1.89442i −0.476440 0.151675i
\(157\) −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
\(159\) 1.66914 5.11188i 0.132372 0.405398i
\(160\) 3.35465i 0.265209i
\(161\) −7.62291 + 12.3436i −0.600769 + 0.972813i
\(162\) −7.57632 + 4.85792i −0.595252 + 0.381674i
\(163\) −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
\(165\) 7.59249 + 35.9761i 0.591074 + 2.80073i
\(166\) 0.484021 0.279450i 0.0375673 0.0216895i
\(167\) 7.85626 + 7.85626i 0.607935 + 0.607935i 0.942406 0.334471i \(-0.108558\pi\)
−0.334471 + 0.942406i \(0.608558\pi\)
\(168\) 4.56663 + 0.381928i 0.352323 + 0.0294664i
\(169\) −12.9986 + 0.192461i −0.999890 + 0.0148047i
\(170\) −11.8198 + 6.82419i −0.906541 + 0.523392i
\(171\) 1.06830 + 6.87382i 0.0816946 + 0.525654i
\(172\) −1.28046 + 2.21783i −0.0976344 + 0.169108i
\(173\) −7.45262 12.9083i −0.566612 0.981401i −0.996898 0.0787079i \(-0.974921\pi\)
0.430286 0.902693i \(-0.358413\pi\)
\(174\) −0.220850 0.0118951i −0.0167426 0.000901768i
\(175\) 0.490203 16.5385i 0.0370559 1.25019i
\(176\) −4.47459 4.47459i −0.337285 0.337285i
\(177\) 5.02143 + 9.89051i 0.377434 + 0.743417i
\(178\) 1.61598 2.79896i 0.121123 0.209791i
\(179\) 4.86804 8.43169i 0.363854 0.630214i −0.624737 0.780835i \(-0.714794\pi\)
0.988592 + 0.150621i \(0.0481272\pi\)
\(180\) −9.38502 3.63381i −0.699518 0.270848i
\(181\) 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
\(186\) 0.612508 + 2.90230i 0.0449113 + 0.212807i
\(187\) −6.66343 + 24.8683i −0.487278 + 1.81855i
\(188\) 6.94253 6.94253i 0.506336 0.506336i
\(189\) 6.01513 12.3620i 0.437537 0.899201i
\(190\) −5.50037 + 5.50037i −0.399039 + 0.399039i
\(191\) 21.0580 12.1578i 1.52370 0.879711i 0.524098 0.851658i \(-0.324403\pi\)
0.999606 0.0280531i \(-0.00893076\pi\)
\(192\) 1.69472 0.357658i 0.122306 0.0258118i
\(193\) 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
\(195\) −20.9272 0.971852i −1.49863 0.0695958i
\(196\) −6.25883 + 3.13480i −0.447060 + 0.223915i
\(197\) −3.35030 + 3.35030i −0.238699 + 0.238699i −0.816311 0.577612i \(-0.803985\pi\)
0.577612 + 0.816311i \(0.303985\pi\)
\(198\) −17.3651 + 7.67123i −1.23408 + 0.545170i
\(199\) −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
\(201\) −2.56232 5.04691i −0.180732 0.355981i
\(202\) −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
\(207\) 13.2804 + 9.70771i 0.923052 + 0.674732i
\(208\) 3.10907 1.82584i 0.215575 0.126599i
\(209\) 14.6733i 1.01497i
\(210\) 15.1291 2.72739i 1.04401 0.188208i
\(211\) 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
\(213\) 17.8786 + 11.6474i 1.22502 + 0.798066i
\(214\) −16.8476 + 4.51431i −1.15168 + 0.308592i
\(215\) −2.22352 + 8.29829i −0.151643 + 0.565938i
\(216\) 0.835158 5.12860i 0.0568253 0.348957i
\(217\) −3.10756 3.29740i −0.210955 0.223842i
\(218\) −5.28096 −0.357672
\(219\) 6.52544 3.31298i 0.440949 0.223870i
\(220\) −18.3843 10.6142i −1.23947 0.715606i
\(221\) −12.7578 7.24034i −0.858183 0.487038i
\(222\) 4.22049 12.9256i 0.283260 0.867507i
\(223\) −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 \(0.108135\pi\)
−0.649921 + 0.760002i \(0.725198\pi\)
\(228\) −3.36513 2.19228i −0.222861 0.145187i
\(229\) 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
\(231\) 16.5419 23.8178i 1.08838 1.56709i
\(232\) 0.0902921 0.0902921i 0.00592797 0.00592797i
\(233\) −9.19291 15.9226i −0.602248 1.04312i −0.992480 0.122407i \(-0.960939\pi\)
0.390232 0.920716i \(-0.372395\pi\)
\(234\) −1.74021 10.6758i −0.113761 0.697896i
\(235\) 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 −0.600495 0.799629i \(-0.705030\pi\)
0.799629 + 0.600495i \(0.205030\pi\)
\(240\) 5.18095 2.63038i 0.334429 0.169790i
\(241\) −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
\(243\) −13.4432 7.89183i −0.862380 0.506261i
\(244\) 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
\(249\) 0.811103 + 0.528409i 0.0514016 + 0.0334866i
\(250\) −2.10286 3.64226i −0.132997 0.230357i
\(251\) 25.3659 1.60108 0.800542 0.599276i \(-0.204545\pi\)
0.800542 + 0.599276i \(0.204545\pi\)
\(252\) 2.99083 + 7.35220i 0.188405 + 0.463145i
\(253\) 24.5359 + 24.5359i 1.54256 + 1.54256i
\(254\) 5.30864 19.8121i 0.333094 1.24312i
\(255\) −19.8072 12.9038i −1.24038 0.808068i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 11.3035 + 19.5783i 0.705096 + 1.22126i 0.966657 + 0.256075i \(0.0824294\pi\)
−0.261561 + 0.965187i \(0.584237\pi\)
\(258\) −4.42923 0.238562i −0.275752 0.0148522i
\(259\) 4.77892 + 20.2127i 0.296948 + 1.25596i
\(260\) 8.48917 8.61580i 0.526476 0.534329i
\(261\) −0.154797 0.350408i −0.00958167 0.0216897i
\(262\) 3.72373 0.997770i 0.230053 0.0616424i
\(263\) 16.2993 + 9.41043i 1.00506 + 0.580272i 0.909742 0.415175i \(-0.136280\pi\)
0.0953187 + 0.995447i \(0.469613\pi\)
\(264\) 3.40207 10.4191i 0.209383 0.641251i
\(265\) 7.36464 + 7.36464i 0.452406 + 0.452406i
\(266\) 6.13222 + 0.181760i 0.375991 + 0.0111444i
\(267\) 5.58982 + 0.301072i 0.342092 + 0.0184253i
\(268\) 3.15651 + 0.845785i 0.192815 + 0.0516645i
\(269\) −4.49802 2.59693i −0.274249 0.158338i 0.356568 0.934269i \(-0.383947\pi\)
−0.630817 + 0.775932i \(0.717280\pi\)
\(270\) −1.74669 17.3436i −0.106300 1.05550i
\(271\) −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
\(273\) 10.7620 + 12.5371i 0.651349 + 0.758779i
\(274\) 2.45252 0.148162
\(275\) −38.2251 10.2424i −2.30506 0.617639i
\(276\) −9.29283 + 1.96118i −0.559363 + 0.118049i
\(277\) −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
\(279\) −4.00206 + 3.22165i −0.239597 + 0.192875i
\(280\) −4.66357 + 7.55162i −0.278702 + 0.451296i
\(281\) 7.47121 + 7.47121i 0.445695 + 0.445695i 0.893920 0.448226i \(-0.147944\pi\)
−0.448226 + 0.893920i \(0.647944\pi\)
\(282\) 16.1657 + 5.27847i 0.962654 + 0.314328i
\(283\) 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
\(285\) −12.8076 4.18198i −0.758659 0.247719i
\(286\) −0.168896 22.8154i −0.00998704 1.34910i
\(287\) −25.5279 7.65766i −1.50687 0.452017i
\(288\) 1.88120 + 2.33690i 0.110851 + 0.137703i
\(289\) 0.223679 + 0.387423i 0.0131576 + 0.0227896i
\(290\) 0.214182 0.370974i 0.0125772 0.0217843i
\(291\) 3.25064 4.98970i 0.190556 0.292502i
\(292\) −1.09357 + 4.08124i −0.0639961 + 0.238837i
\(293\) −11.5897 11.5897i −0.677076 0.677076i 0.282261 0.959338i \(-0.408916\pi\)
−0.959338 + 0.282261i \(0.908916\pi\)
\(294\) −9.74895 7.20819i −0.568570 0.420390i
\(295\) −21.4835 −1.25082
\(296\) 3.92516 + 6.79858i 0.228145 + 0.395159i
\(297\) −25.4634 20.8038i −1.47754 1.20716i
\(298\) −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
\(303\) −2.85705 0.932890i −0.164133 0.0535931i
\(304\) 2.23977 0.600144i 0.128460 0.0344206i
\(305\) 3.11757 + 11.6349i 0.178512 + 0.666214i
\(306\) 4.40706 11.3821i 0.251935 0.650670i
\(307\) −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 −0.625486 0.780236i \(-0.715099\pi\)
0.988447 + 0.151569i \(0.0484325\pi\)
\(312\) 5.25765 + 3.37003i 0.297656 + 0.190790i
\(313\) −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
\(315\) 16.0749 + 21.2269i 0.905717 + 1.19600i
\(316\) 6.03668i 0.339590i
\(317\) 0.351074 + 0.0940699i 0.0197183 + 0.00528349i 0.268665 0.963234i \(-0.413418\pi\)
−0.248946 + 0.968517i \(0.580084\pi\)
\(318\) −2.93532 + 4.50569i −0.164605 + 0.252667i
\(319\) −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
\(324\) 8.57548 2.73150i 0.476416 0.151750i
\(325\) 11.1292 19.6101i 0.617334 1.08777i
\(326\) 8.03428 + 4.63859i 0.444977 + 0.256908i
\(327\) −4.14079 8.15595i −0.228986 0.451025i
\(328\) −10.0734 −0.556211
\(329\) −25.2796 + 5.97689i −1.39371 + 0.329517i
\(330\) 1.97752 36.7153i 0.108859 2.02111i
\(331\) −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
\(333\) 23.2716 3.61676i 1.27528 0.198197i
\(334\) −5.55521 9.62191i −0.303968 0.526487i
\(335\) 10.9625 0.598948
\(336\) −4.31218 1.55085i −0.235249 0.0846056i
\(337\) 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
\(339\) −1.02805 + 0.216963i −0.0558362 + 0.0117838i
\(340\) 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
\(345\) −28.4092 + 14.4234i −1.52950 + 0.776530i
\(346\) 3.85776 + 14.3973i 0.207394 + 0.774006i
\(347\) 18.0884 + 10.4434i 0.971038 + 0.560629i 0.899553 0.436812i \(-0.143893\pi\)
0.0714856 + 0.997442i \(0.477226\pi\)
\(348\) 0.210246 + 0.0686499i 0.0112703 + 0.00368002i
\(349\) 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
\(351\) 15.1232 11.0584i 0.807217 0.590255i
\(352\) 3.16401 + 5.48023i 0.168642 + 0.292097i
\(353\) −4.76936 17.7995i −0.253848 0.947372i −0.968728 0.248125i \(-0.920185\pi\)
0.714880 0.699247i \(-0.246481\pi\)
\(354\) −2.29048 10.8531i −0.121737 0.576838i
\(355\) −35.7907 + 20.6638i −1.89957 + 1.09672i
\(356\) −2.28534 + 2.28534i −0.121123 + 0.121123i
\(357\) 3.30776 + 18.3484i 0.175065 + 0.971101i
\(358\) −6.88445 + 6.88445i −0.363854 + 0.363854i
\(359\) 2.23711 8.34901i 0.118070 0.440644i −0.881428 0.472318i \(-0.843417\pi\)
0.999498 + 0.0316744i \(0.0100840\pi\)
\(360\) 8.12474 + 5.93902i 0.428211 + 0.313014i
\(361\) 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
\(366\) −5.54541 + 2.81542i −0.289863 + 0.147164i
\(367\) 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
\(369\) −10.9117 + 28.1815i −0.568039 + 1.46707i
\(370\) 18.6217 + 18.6217i 0.968098 + 0.968098i
\(371\) 0.243365 8.21064i 0.0126349 0.426275i
\(372\) 0.159532 2.96193i 0.00827135 0.153569i
\(373\) 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
\(375\) 3.97628 6.10356i 0.205334 0.315186i
\(376\) −8.50283 + 4.90911i −0.438500 + 0.253168i
\(377\) 0.460389 0.00340814i 0.0237112 0.000175528i
\(378\) −9.00969 + 10.3839i −0.463408 + 0.534091i
\(379\) −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
\(381\) 34.7605 7.33594i 1.78083 0.375832i
\(382\) −23.4872 + 6.29337i −1.20171 + 0.321997i
\(383\) −8.85758 2.37338i −0.452601 0.121274i 0.0253151 0.999680i \(-0.491941\pi\)
−0.477916 + 0.878405i \(0.658608\pi\)
\(384\) −1.72954 0.0931546i −0.0882604 0.00475378i
\(385\) 26.6290 + 49.4508i 1.35714 + 2.52025i
\(386\) 0.871878i 0.0443774i
\(387\) −3.10451 7.02759i −0.157811 0.357233i
\(388\) 0.889874 + 3.32105i 0.0451765 + 0.168601i
\(389\) −17.7461 + 30.7371i −0.899761 + 1.55843i −0.0719626 + 0.997407i \(0.522926\pi\)
−0.827799 + 0.561025i \(0.810407\pi\)
\(390\) 19.9626 + 6.35511i 1.01085 + 0.321803i
\(391\) −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
\(396\) 18.7589 2.91541i 0.942669 0.146505i
\(397\) 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
\(399\) 4.52755 + 9.61316i 0.226661 + 0.481260i
\(400\) 6.25370i 0.312685i
\(401\) −3.88669 + 14.5053i −0.194092 + 0.724362i 0.798408 + 0.602117i \(0.205676\pi\)
−0.992500 + 0.122245i \(0.960991\pi\)
\(402\) 1.16878 + 5.53812i 0.0582934 + 0.276216i
\(403\) −1.64223 5.95230i −0.0818055 0.296505i
\(404\) 1.50275 0.867612i 0.0747645 0.0431653i
\(405\) 25.4159 16.2966i 1.26293 0.809787i
\(406\) −0.328778 + 0.0777334i −0.0163170 + 0.00385784i
\(407\) 49.6770 2.46240
\(408\) 3.19010 + 6.28341i 0.157933 + 0.311075i
\(409\) −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
\(411\) 1.92301 + 3.78768i 0.0948553 + 0.186833i
\(412\) 12.7916 0.630196
\(413\) 11.6207 + 12.3307i 0.571819 + 0.606752i
\(414\) −10.3154 12.8141i −0.506972 0.629781i
\(415\) −1.62372 + 0.937456i −0.0797054 + 0.0460179i
\(416\) −3.47569 + 0.958941i −0.170410 + 0.0470159i
\(417\) −6.18317 29.2982i −0.302791 1.43474i
\(418\) 3.79773 14.1733i 0.185753 0.693239i
\(419\) 22.9443i 1.12090i 0.828187 + 0.560451i \(0.189372\pi\)
−0.828187 + 0.560451i \(0.810628\pi\)
\(420\) −15.3195 1.28124i −0.747513 0.0625179i
\(421\) −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
\(423\) 4.52340 + 29.1053i 0.219935 + 1.41515i
\(424\) −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
\(429\) 35.1038 18.1503i 1.69483 0.876306i
\(430\) 4.29551 7.44004i 0.207148 0.358791i
\(431\) −2.78931 10.4099i −0.134356 0.501425i −1.00000 0.000763751i \(-0.999757\pi\)
0.865643 0.500661i \(-0.166910\pi\)
\(432\) −2.13408 + 4.73769i −0.102676 + 0.227942i
\(433\) 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
\(435\) 0.740874 + 0.0399040i 0.0355222 + 0.00191325i
\(436\) 5.10102 + 1.36681i 0.244294 + 0.0654585i
\(437\) −12.2815 + 3.29083i −0.587506 + 0.157422i
\(438\) −7.16056 + 1.51118i −0.342145 + 0.0722071i
\(439\) 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
\(441\) 3.48825 20.7083i 0.166107 0.986108i
\(442\) 10.4492 + 10.2956i 0.497016 + 0.489712i
\(443\) −12.2531 + 7.07436i −0.582165 + 0.336113i −0.761993 0.647585i \(-0.775779\pi\)
0.179828 + 0.983698i \(0.442446\pi\)
\(444\) −7.42206 + 11.3928i −0.352235 + 0.540678i
\(445\) −5.42106 + 9.38955i −0.256983 + 0.445107i
\(446\) 2.88200 + 4.99176i 0.136466 + 0.236367i
\(447\) 0.547147 10.1585i 0.0258791 0.480482i
\(448\) 2.32948 1.25441i 0.110057 0.0592653i
\(449\) 16.7895 + 16.7895i 0.792348 + 0.792348i 0.981875 0.189528i \(-0.0606957\pi\)
−0.189528 + 0.981875i \(0.560696\pi\)
\(450\) 17.4954 + 6.77410i 0.824743 + 0.319334i
\(451\) −31.8724 + 55.2046i −1.50081 + 2.59948i
\(452\) 0.303311 0.525349i 0.0142665 0.0247104i
\(453\) −16.8225 + 8.54080i −0.790389 + 0.401282i
\(454\) 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
\(459\) 21.0341 2.11837i 0.981788 0.0988773i
\(460\) 4.76095 17.7681i 0.221980 0.828442i
\(461\) −2.27891 + 2.27891i −0.106140 + 0.106140i −0.758182 0.652043i \(-0.773912\pi\)
0.652043 + 0.758182i \(0.273912\pi\)
\(462\) −22.1428 + 18.7248i −1.03017 + 0.871158i
\(463\) 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
\(465\) −2.05475 9.73620i −0.0952869 0.451505i
\(466\) 4.75860 + 17.7593i 0.220438 + 0.822685i
\(467\) −0.964739 1.67098i −0.0446428 0.0773236i 0.842841 0.538163i \(-0.180882\pi\)
−0.887483 + 0.460840i \(0.847548\pi\)
\(468\) −1.08218 + 10.7624i −0.0500237 + 0.497491i
\(469\) −5.92980 6.29206i −0.273813 0.290540i
\(470\) −23.2898 + 23.2898i −1.07428 + 1.07428i
\(471\) 12.2793 + 4.00945i 0.565798 + 0.184746i
\(472\) 5.54610 + 3.20204i 0.255280 + 0.147386i
\(473\) −4.19432 15.6534i −0.192855 0.719744i
\(474\) −9.32309 + 4.73335i −0.428224 + 0.217410i
\(475\) 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 −0.153198 0.988196i \(-0.548957\pi\)
0.361425 + 0.932401i \(0.382290\pi\)
\(480\) −5.68520 + 1.19982i −0.259493 + 0.0547640i
\(481\) −7.12322 + 27.3938i −0.324791 + 1.24905i
\(482\) 17.8381i 0.812505i
\(483\) 23.6454 + 8.50390i 1.07590 + 0.386941i
\(484\) 29.0439 1.32018
\(485\) 5.76700 + 9.98873i 0.261866 + 0.453565i
\(486\) 10.9426 + 11.1023i 0.496365 + 0.503609i
\(487\) −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
\(489\) −0.864212 + 16.0453i −0.0390810 + 0.725593i
\(490\) 20.9962 10.5162i 0.948512 0.475072i
\(491\) −24.8371 −1.12088 −0.560442 0.828194i \(-0.689369\pi\)
−0.560442 + 0.828194i \(0.689369\pi\)
\(492\) −7.89854 15.5574i −0.356094 0.701384i
\(493\) 0.449914 + 0.259758i 0.0202631 + 0.0116989i
\(494\) 7.27113 + 4.12653i 0.327144 + 0.185661i
\(495\) 58.2539 25.7343i 2.61832 1.15667i
\(496\) 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
\(501\) 10.5043 16.1240i 0.469298 0.720368i
\(502\) −24.5016 6.56519i −1.09356 0.293019i
\(503\) 27.6359i 1.23222i −0.787658 0.616112i \(-0.788707\pi\)
0.787658 0.616112i \(-0.211293\pi\)
\(504\) −0.986033 7.87577i −0.0439214 0.350815i
\(505\) 4.11612 4.11612i 0.183165 0.183165i
\(506\) −17.3495 30.0503i −0.771281 1.33590i
\(507\) 4.97522 + 21.9601i 0.220957 + 0.975284i
\(508\) −10.2555 + 17.7631i −0.455015 + 0.788109i
\(509\) 3.42423 + 0.917520i 0.151776 + 0.0406684i 0.333907 0.942606i \(-0.391633\pi\)
−0.182131 + 0.983274i \(0.558299\pi\)
\(510\) 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
\(513\) 11.2671 4.26894i 0.497456 0.188478i
\(514\) −5.85115 21.8368i −0.258083 0.963179i
\(515\) 41.4492 11.1063i 1.82647 0.489401i
\(516\) 4.21657 + 1.37680i 0.185624 + 0.0606104i
\(517\) 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 0.591471 0.806327i \(-0.298548\pi\)
−0.402564 + 0.915392i \(0.631881\pi\)
\(522\) 0.0588298 + 0.378533i 0.00257491 + 0.0165679i
\(523\) −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
\(525\) −28.2034 + 5.08436i −1.23090 + 0.221900i
\(526\) −13.3084 13.3084i −0.580272 0.580272i
\(527\) 1.80332 6.73009i 0.0785540 0.293167i
\(528\) −5.98280 + 9.18355i −0.260368 + 0.399663i
\(529\) −3.53383 + 6.12077i −0.153645 + 0.266121i
\(530\) −5.20758 9.01980i −0.226203 0.391795i
\(531\) 14.9657 12.0474i 0.649456 0.522810i
\(532\) −5.87623 1.76270i −0.254767 0.0764228i
\(533\) −25.8717 25.4914i −1.12063 1.10416i
\(534\) −5.32143 1.73757i −0.230281 0.0751919i
\(535\) 56.5179 15.1439i 2.44348 0.654730i
\(536\) −2.83005 1.63393i −0.122240 0.0705751i
\(537\) −16.0305 5.23431i −0.691766 0.225877i
\(538\) 3.67262 + 3.67262i 0.158338 + 0.158338i
\(539\) 13.9787 42.0326i 0.602107 1.81047i
\(540\) −2.80167 + 17.2047i −0.120565 + 0.740371i
\(541\) −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
\(543\) −0.700086 + 0.147748i −0.0300436 + 0.00634047i
\(544\) −3.92986 1.05300i −0.168492 0.0451472i
\(545\) 17.7158 0.758862
\(546\) −7.15050 14.8953i −0.306013 0.637460i
\(547\) 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
\(549\) −8.69629 6.35681i −0.371149 0.271302i
\(550\) 34.2717 + 19.7868i 1.46135 + 0.843711i
\(551\) 0.286001 + 0.0766338i 0.0121841 + 0.00326471i
\(552\) 9.48378 + 0.510804i 0.403656 + 0.0217413i
\(553\) 8.39207 13.5891i 0.356867 0.577867i
\(554\) 5.01150 + 5.01150i 0.212918 + 0.212918i
\(555\) −14.1583 + 43.3608i −0.600985 + 1.84056i
\(556\) 14.9718 + 8.64396i 0.634945 + 0.366586i
\(557\) 10.5106 2.81630i 0.445347 0.119330i −0.0291745 0.999574i \(-0.509288\pi\)
0.474521 + 0.880244i \(0.342621\pi\)
\(558\) 4.69951 2.07606i 0.198946 0.0878867i
\(559\) 9.23330 0.0683516i 0.390527 0.00289097i
\(560\) 6.45917 6.08729i 0.272950 0.257235i
\(561\) 44.5280 + 2.39831i 1.87997 + 0.101257i
\(562\) −5.28294 9.15032i −0.222847 0.385983i
\(563\) −10.7017 + 18.5359i −0.451024 + 0.781196i −0.998450 0.0556577i \(-0.982274\pi\)
0.547426 + 0.836854i \(0.315608\pi\)
\(564\) −14.2487 9.28260i −0.599979 0.390868i
\(565\) 0.526698 1.96566i 0.0221583 0.0826961i
\(566\) −8.25554 8.25554i −0.347006 0.347006i
\(567\) −23.1014 5.77262i −0.970170 0.242427i
\(568\) 12.3195 0.516913
\(569\) −6.50476 11.2666i −0.272694 0.472319i 0.696857 0.717210i \(-0.254581\pi\)
−0.969551 + 0.244891i \(0.921248\pi\)
\(570\) 11.2889 + 7.35434i 0.472838 + 0.308040i
\(571\) −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
\(576\) −1.21226 2.74416i −0.0505109 0.114340i
\(577\) −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
\(579\) 1.34653 0.683637i 0.0559600 0.0284110i
\(580\) −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
\(585\) 5.83779 + 35.8134i 0.241363 + 1.48070i
\(586\) 8.19514 + 14.1944i 0.338538 + 0.586365i
\(587\) 11.6106 11.6106i 0.479223 0.479223i −0.425660 0.904883i \(-0.639958\pi\)
0.904883 + 0.425660i \(0.139958\pi\)
\(588\) 7.55114 + 9.48579i 0.311404 + 0.391187i
\(589\) 3.97103i 0.163623i
\(590\) 20.7515 + 5.56034i 0.854324 + 0.228915i
\(591\) 6.87609 + 4.47956i 0.282844 + 0.184265i
\(592\) −2.03181 7.58283i −0.0835070 0.311652i
\(593\) 9.64729 36.0042i 0.396167 1.47851i −0.423617 0.905841i \(-0.639240\pi\)
0.819784 0.572673i \(-0.194094\pi\)
\(594\) 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
\(597\) −12.2525 + 37.5241i −0.501460 + 1.53576i
\(598\) 19.0586 5.25825i 0.779364 0.215026i
\(599\) −36.8375 21.2681i −1.50514 0.868993i −0.999982 0.00596522i \(-0.998101\pi\)
−0.505157 0.863027i \(-0.668565\pi\)
\(600\) −9.65825 + 4.90351i −0.394296 + 0.200185i
\(601\) −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
\(603\) −7.63666 + 6.14749i −0.310989 + 0.250345i
\(604\) 2.81919 10.5214i 0.114711 0.428108i
\(605\) 94.1122 25.2173i 3.82620 1.02523i
\(606\) 2.51825 + 1.64056i 0.102297 + 0.0666433i
\(607\) −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
\(609\) −0.377846 0.446816i −0.0153111 0.0181059i
\(610\) 12.0454i 0.487703i
\(611\) −34.2608 8.90885i −1.38604 0.360413i
\(612\) −7.20279 + 9.85361i −0.291155 + 0.398309i
\(613\) −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 −0.000106988 1.00000i \(-0.500034\pi\)
1.00000 0.000106988i \(3.40553e-5\pi\)
\(618\) 10.0299 + 19.7554i 0.403460 + 0.794679i
\(619\) 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
\(621\) 11.7020 25.9786i 0.469585 1.04249i
\(622\) −9.05222 + 9.05222i −0.362961 + 0.362961i
\(623\) 8.32155 1.96747i 0.333396 0.0788252i
\(624\) −4.20628 4.61598i −0.168386 0.184787i
\(625\) −8.57988 14.8608i −0.343195 0.594431i
\(626\) 4.22379 + 15.7634i 0.168817 + 0.630033i
\(627\) 24.8671 5.24802i 0.993098 0.209586i
\(628\) −6.45864 + 3.72889i −0.257728 + 0.148799i
\(629\) −22.5843 + 22.5843i −0.900494 + 0.900494i
\(630\) −10.0332 24.6641i −0.399733 0.982641i
\(631\) −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
\(633\) −4.90680 23.2503i −0.195028 0.924115i
\(634\) −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
\(639\) 13.3446 34.4651i 0.527905 1.36342i
\(640\) 1.67733 2.90521i 0.0663022 0.114839i
\(641\) −12.8018 + 22.1734i −0.505641 + 0.875795i 0.494338 + 0.869270i \(0.335411\pi\)
−0.999979 + 0.00652568i \(0.997923\pi\)
\(642\) 13.6762 + 26.9375i 0.539756 + 1.06314i
\(643\) 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
\(645\) 14.8585 + 0.800293i 0.585055 + 0.0315115i
\(646\) 4.71697 + 8.17003i 0.185587 + 0.321446i
\(647\) 0.186170 0.322457i 0.00731911 0.0126771i −0.862343 0.506325i \(-0.831004\pi\)
0.869662 + 0.493648i \(0.164337\pi\)
\(648\) −8.99024 + 0.418926i −0.353170 + 0.0164570i
\(649\) 35.0959 20.2626i 1.37763 0.795377i
\(650\) −15.8254 + 16.0615i −0.620723 + 0.629982i
\(651\) −4.47674 + 6.44579i −0.175457 + 0.252631i
\(652\) −6.55996 6.55996i −0.256908 0.256908i
\(653\) −6.47137 + 3.73625i −0.253244 + 0.146211i −0.621249 0.783613i \(-0.713374\pi\)
0.368005 + 0.929824i \(0.380041\pi\)
\(654\) 1.88878 + 8.94976i 0.0738572 + 0.349963i
\(655\) −12.4918 + 3.34717i −0.488096 + 0.130785i
\(656\) 9.73017 + 2.60719i 0.379899 + 0.101794i
\(657\) −7.94846 9.87389i −0.310099 0.385217i
\(658\) 25.9652 + 0.769612i 1.01223 + 0.0300026i
\(659\) 32.4190i 1.26286i 0.775431 + 0.631432i \(0.217532\pi\)
−0.775431 + 0.631432i \(0.782468\pi\)
\(660\) −11.4128 + 34.9524i −0.444241 + 1.36052i
\(661\) 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
\(663\) −7.70742 + 24.2105i −0.299331 + 0.940258i
\(664\) 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
\(669\) −5.44954 + 8.36500i −0.210692 + 0.323410i
\(670\) −10.5890 2.83732i −0.409089 0.109615i
\(671\) −16.0666 16.0666i −0.620246 0.620246i
\(672\) 3.76386 + 2.61408i 0.145194 + 0.100840i
\(673\) 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
\(675\) 3.25616 + 32.3316i 0.125330 + 1.24444i
\(676\) −11.3533 6.33261i −0.436666 0.243562i
\(677\) −21.2839 + 12.2883i −0.818006 + 0.472276i −0.849728 0.527221i \(-0.823234\pi\)
0.0317225 + 0.999497i \(0.489901\pi\)
\(678\) 1.04918 + 0.0565096i 0.0402934 + 0.00217024i
\(679\) 2.61368 8.71307i 0.100304 0.334377i
\(680\) −13.6484 −0.523392
\(681\) 26.3354 13.3705i 1.00917 0.512359i
\(682\) 10.4678 2.80484i 0.400833 0.107403i
\(683\) −30.6088 + 8.20161i −1.17121 + 0.313826i −0.791436 0.611252i \(-0.790666\pi\)
−0.379778 + 0.925078i \(0.624000\pi\)
\(684\) −2.51174 + 6.48705i −0.0960387 + 0.248039i
\(685\) −8.22735 −0.314351
\(686\) −17.3930 6.36263i −0.664068 0.242926i
\(687\) 0.925671 17.1864i 0.0353165 0.655700i
\(688\) −2.21783 + 1.28046i −0.0845539 + 0.0488172i
\(689\) 5.52515 9.73557i 0.210491 0.370896i
\(690\) 31.1742 6.57909i 1.18678 0.250462i
\(691\) −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
\(693\) −46.2808 19.5153i −1.75806 0.741326i
\(694\) −14.7691 14.7691i −0.560629 0.560629i
\(695\) 56.0189 + 15.0102i 2.12492 + 0.569370i
\(696\) −0.185314 0.120726i −0.00702430 0.00457612i
\(697\) −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 \(-0.438795\pi\)
0.191098 + 0.981571i \(0.438795\pi\)
\(702\) −17.4700 + 6.76744i −0.659364 + 0.255420i
\(703\) −9.10158 + 15.7644i −0.343273 + 0.594566i
\(704\) −1.63781 6.11240i −0.0617274 0.230370i
\(705\) −54.2304 17.7074i −2.04243 0.666900i
\(706\) 18.4274i 0.693525i
\(707\) −4.58896 0.136017i −0.172585 0.00511546i
\(708\) −0.596570 + 11.0762i −0.0224205 + 0.416267i
\(709\) 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
\(711\) −14.6204 10.6872i −0.548309 0.400802i
\(712\) 2.79896 1.61598i 0.104896 0.0605615i
\(713\) −6.64016 6.64016i −0.248676 0.248676i
\(714\) 1.55387 18.5793i 0.0581522 0.695313i
\(715\) 0.566588 + 76.5377i 0.0211892 + 2.86235i
\(716\) 8.43169 4.86804i 0.315107 0.181927i
\(717\) −6.31834 4.11620i −0.235963 0.153722i
\(718\) −4.32177 + 7.48552i −0.161287 + 0.279357i
\(719\) 20.6861 + 35.8293i 0.771460 + 1.33621i 0.936763 + 0.349966i \(0.113807\pi\)
−0.165302 + 0.986243i \(0.552860\pi\)
\(720\) −6.31076 7.83949i −0.235188 0.292160i
\(721\) −28.7950 17.7826i −1.07238 0.662259i
\(722\) −9.63310 9.63310i −0.358507 0.358507i
\(723\) −27.5493 + 13.9868i −1.02457 + 0.520176i
\(724\) 0.206549 0.357753i 0.00767633 0.0132958i
\(725\) −0.399275 + 0.691564i −0.0148287 + 0.0256840i
\(726\) 22.7732 + 44.8555i 0.845194 + 1.66474i
\(727\) 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
\(732\) 6.08514 1.28422i 0.224913 0.0474663i
\(733\) 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
\(735\) 32.7043 + 24.1810i 1.20632 + 0.891929i
\(736\) −3.87735 + 3.87735i −0.142921 + 0.142921i
\(737\) −17.9086 + 10.3396i −0.659673 + 0.380862i
\(738\) 17.8338 24.3971i 0.656471 0.898070i
\(739\) 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
\(741\) −0.671757 + 14.4652i −0.0246776 + 0.531392i
\(742\) −2.36014 + 7.86788i −0.0866435 + 0.288839i
\(743\) 1.93223 1.93223i 0.0708866 0.0708866i −0.670775 0.741661i \(-0.734038\pi\)
0.741661 + 0.670775i \(0.234038\pi\)
\(744\) −0.920700 + 2.81972i −0.0337545 + 0.103376i
\(745\) 17.0639 + 9.85183i 0.625172 + 0.360943i
\(746\) −0.335393 1.25170i −0.0122796 0.0458282i
\(747\) 0.605408 1.56358i 0.0221507 0.0572086i
\(748\) −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
\(753\) −9.07234 42.9882i −0.330615 1.56658i
\(754\) −0.445583 0.115865i −0.0162272 0.00421957i
\(755\) 36.5406i 1.32985i
\(756\) 11.3902 7.69821i 0.414259 0.279981i
\(757\) 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
\(759\) 32.8061 50.3571i 1.19079 1.82785i
\(760\) −7.51365 + 2.01328i −0.272549 + 0.0730292i
\(761\) 8.27536 30.8841i 0.299981 1.11955i −0.637198 0.770700i \(-0.719907\pi\)
0.937180 0.348846i \(-0.113427\pi\)
\(762\) −35.4747 1.91070i −1.28511 0.0692173i
\(763\) −9.58273 10.1682i −0.346918 0.368112i
\(764\) 24.3157 0.879711
\(765\) −14.7841 + 38.1829i −0.534522 + 1.38051i
\(766\) 7.94149 + 4.58502i 0.286938 + 0.165664i
\(767\) 6.14114 + 22.2586i 0.221744 + 0.803713i
\(768\) 1.64650 + 0.537619i 0.0594130 + 0.0193997i
\(769\) −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 \(-0.968137\pi\)
0.811723 0.584043i \(-0.198530\pi\)