Properties

Label 546.2.bv.a.473.35
Level $546$
Weight $2$
Character 546.473
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 473.35
Character \(\chi\) \(=\) 546.473
Dual form 546.2.bv.a.359.35

$q$-expansion

\(f(q)\) \(=\) \(q+(0.258819 - 0.965926i) q^{2} +(1.64650 - 0.537619i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(-0.868248 + 3.24035i) q^{5} +(-0.0931546 - 1.72954i) q^{6} +(2.32948 - 1.25441i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(2.42193 - 1.77038i) q^{9} +O(q^{10})\) \(q+(0.258819 - 0.965926i) q^{2} +(1.64650 - 0.537619i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(-0.868248 + 3.24035i) q^{5} +(-0.0931546 - 1.72954i) q^{6} +(2.32948 - 1.25441i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(2.42193 - 1.77038i) q^{9} +(2.90521 + 1.67733i) q^{10} +(1.63781 + 6.11240i) q^{11} +(-1.69472 - 0.357658i) 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} +(-1.08322 - 2.79761i) q^{18} +(-2.23977 - 0.600144i) q^{19} +(2.37210 - 2.37210i) q^{20} +(3.16109 - 3.31776i) q^{21} +6.32802 q^{22} +(-2.74170 - 4.74876i) q^{23} +(-0.784098 + 1.54441i) q^{24} +(-5.41586 - 3.12685i) q^{25} +(3.47569 + 0.958941i) q^{26} +(3.03592 - 4.21701i) q^{27} +(-2.64459 - 0.0783861i) q^{28} -0.127692i q^{29} +(5.68520 + 1.19982i) q^{30} +(-0.443241 - 1.65420i) q^{31} +(0.965926 - 0.258819i) q^{32} +(5.98280 + 9.18355i) q^{33} +(-2.87686 - 2.87686i) q^{34} +(2.04216 + 8.63745i) q^{35} +(-2.98264 + 0.322230i) q^{36} +(2.03181 - 7.58283i) q^{37} +(-1.15939 + 2.00812i) q^{38} +(1.89442 + 5.95073i) q^{39} +(-1.67733 - 2.90521i) q^{40} +(7.12298 + 7.12298i) q^{41} +(-2.38656 - 3.91208i) q^{42} -2.56093i q^{43} +(1.63781 - 6.11240i) q^{44} +(3.63381 + 9.38502i) q^{45} +(-5.29656 + 1.41921i) q^{46} +(-9.48367 - 2.54114i) 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} +(1.82584 - 3.10907i) q^{52} +(-2.68874 - 1.55235i) q^{53} +(-3.28757 - 4.02392i) q^{54} -21.2283 q^{55} +(-0.760185 + 2.53419i) q^{56} +(-4.01043 + 0.216005i) q^{57} +(-0.123341 - 0.0330492i) q^{58} +(1.65750 + 6.18587i) q^{59} +(2.63038 - 5.18095i) q^{60} +(1.79532 + 3.10959i) q^{61} -1.71255 q^{62} +(3.42104 - 7.16216i) q^{63} -1.00000i q^{64} +(-11.6597 - 3.21691i) q^{65} +(10.4191 - 3.40207i) q^{66} +(-0.845785 - 3.15651i) q^{67} +(-3.52342 + 2.03425i) q^{68} +(-7.06724 - 6.34485i) q^{69} +(8.87168 + 0.262958i) q^{70} +(-8.71117 - 8.71117i) q^{71} +(-0.460715 + 2.96441i) q^{72} +(-4.08124 + 1.09357i) 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} +(6.23827 - 0.289703i) q^{78} +(3.01834 + 5.22792i) q^{79} +(-3.24035 + 0.868248i) q^{80} +(2.73150 - 8.57548i) q^{81} +(8.72383 - 5.03671i) q^{82} +(-0.395201 - 0.395201i) q^{83} +(-4.39646 + 1.29272i) q^{84} +(9.65087 + 9.65087i) q^{85} +(-2.47366 - 0.662816i) q^{86} +(-0.0686499 - 0.210246i) q^{87} +(-5.48023 - 3.16401i) q^{88} +(3.12184 + 0.836494i) q^{89} +(10.0057 - 1.08097i) q^{90} +(4.46054 + 8.43229i) q^{91} +5.48340i q^{92} +(-1.61912 - 2.48534i) q^{93} +(-4.90911 + 8.50283i) q^{94} +(3.88935 - 6.73655i) q^{95} +(1.45125 - 0.945446i) q^{96} +(2.43118 - 2.43118i) q^{97} +(-4.64789 - 5.23422i) q^{98} +(14.7879 + 11.9043i) 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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.258819 0.965926i 0.183013 0.683013i
\(3\) 1.64650 0.537619i 0.950608 0.310395i
\(4\) −0.866025 0.500000i −0.433013 0.250000i
\(5\) −0.868248 + 3.24035i −0.388292 + 1.44913i 0.444619 + 0.895720i \(0.353339\pi\)
−0.832911 + 0.553407i \(0.813327\pi\)
\(6\) −0.0931546 1.72954i −0.0380302 0.706083i
\(7\) 2.32948 1.25441i 0.880459 0.474123i
\(8\) −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
\(11\) 1.63781 + 6.11240i 0.493819 + 1.84296i 0.536546 + 0.843871i \(0.319729\pi\)
−0.0427270 + 0.999087i \(0.513605\pi\)
\(12\) −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
\(15\) 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 \(0.00242884\pi\)
\(18\) −1.08322 2.79761i −0.255316 0.659404i
\(19\) −2.23977 0.600144i −0.513838 0.137683i −0.00742326 0.999972i \(-0.502363\pi\)
−0.506415 + 0.862290i \(0.669030\pi\)
\(20\) 2.37210 2.37210i 0.530417 0.530417i
\(21\) 3.16109 3.31776i 0.689806 0.723994i
\(22\) 6.32802 1.34914
\(23\) −2.74170 4.74876i −0.571684 0.990185i −0.996393 0.0848557i \(-0.972957\pi\)
0.424709 0.905330i \(-0.360376\pi\)
\(24\) −0.784098 + 1.54441i −0.160053 + 0.315251i
\(25\) −5.41586 3.12685i −1.08317 0.625370i
\(26\) 3.47569 + 0.958941i 0.681639 + 0.188064i
\(27\) 3.03592 4.21701i 0.584263 0.811564i
\(28\) −2.64459 0.0783861i −0.499781 0.0148136i
\(29\) 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
\(31\) −0.443241 1.65420i −0.0796084 0.297103i 0.914630 0.404291i \(-0.132482\pi\)
−0.994239 + 0.107189i \(0.965815\pi\)
\(32\) 0.965926 0.258819i 0.170753 0.0457532i
\(33\) 5.98280 + 9.18355i 1.04147 + 1.59865i
\(34\) −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
\(37\) 2.03181 7.58283i 0.334028 1.24661i −0.570891 0.821026i \(-0.693402\pi\)
0.904919 0.425584i \(-0.139931\pi\)
\(38\) −1.15939 + 2.00812i −0.188078 + 0.325760i
\(39\) 1.89442 + 5.95073i 0.303349 + 0.952879i
\(40\) −1.67733 2.90521i −0.265209 0.459355i
\(41\) 7.12298 + 7.12298i 1.11242 + 1.11242i 0.992822 + 0.119600i \(0.0381613\pi\)
0.119600 + 0.992822i \(0.461839\pi\)
\(42\) −2.38656 3.91208i −0.368254 0.603646i
\(43\) 2.56093i 0.390538i −0.980750 0.195269i \(-0.937442\pi\)
0.980750 0.195269i \(-0.0625579\pi\)
\(44\) 1.63781 6.11240i 0.246910 0.921479i
\(45\) 3.63381 + 9.38502i 0.541697 + 1.39904i
\(46\) −5.29656 + 1.41921i −0.780935 + 0.209251i
\(47\) −9.48367 2.54114i −1.38334 0.370664i −0.511004 0.859578i \(-0.670726\pi\)
−0.872332 + 0.488914i \(0.837393\pi\)
\(48\) 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
\(52\) 1.82584 3.10907i 0.253199 0.431150i
\(53\) −2.68874 1.55235i −0.369327 0.213231i 0.303837 0.952724i \(-0.401732\pi\)
−0.673165 + 0.739493i \(0.735065\pi\)
\(54\) −3.28757 4.02392i −0.447381 0.547586i
\(55\) −21.2283 −2.86243
\(56\) −0.760185 + 2.53419i −0.101584 + 0.338645i
\(57\) −4.01043 + 0.216005i −0.531195 + 0.0286106i
\(58\) −0.123341 0.0330492i −0.0161955 0.00433957i
\(59\) 1.65750 + 6.18587i 0.215788 + 0.805332i 0.985888 + 0.167408i \(0.0535398\pi\)
−0.770100 + 0.637924i \(0.779793\pi\)
\(60\) 2.63038 5.18095i 0.339580 0.668857i
\(61\) 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
\(63\) 3.42104 7.16216i 0.431011 0.902347i
\(64\) 1.00000i 0.125000i
\(65\) −11.6597 3.21691i −1.44621 0.399009i
\(66\) 10.4191 3.40207i 1.28250 0.418766i
\(67\) −0.845785 3.15651i −0.103329 0.385629i 0.894821 0.446425i \(-0.147303\pi\)
−0.998150 + 0.0607954i \(0.980636\pi\)
\(68\) −3.52342 + 2.03425i −0.427277 + 0.246689i
\(69\) −7.06724 6.34485i −0.850795 0.763830i
\(70\) 8.87168 + 0.262958i 1.06037 + 0.0314295i
\(71\) −8.71117 8.71117i −1.03383 1.03383i −0.999408 0.0344187i \(-0.989042\pi\)
−0.0344187 0.999408i \(-0.510958\pi\)
\(72\) −0.460715 + 2.96441i −0.0542958 + 0.349359i
\(73\) −4.08124 + 1.09357i −0.477673 + 0.127992i −0.489619 0.871937i \(-0.662864\pi\)
0.0119458 + 0.999929i \(0.496197\pi\)
\(74\) −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
\(78\) 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 \(0.723045\pi\)
\(80\) −3.24035 + 0.868248i −0.362282 + 0.0970731i
\(81\) 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 \(-0.259765\pi\)
−0.728464 + 0.685085i \(0.759765\pi\)
\(84\) −4.39646 + 1.29272i −0.479693 + 0.141047i
\(85\) 9.65087 + 9.65087i 1.04678 + 1.04678i
\(86\) −2.47366 0.662816i −0.266742 0.0714733i
\(87\) −0.0686499 0.210246i −0.00736004 0.0225407i
\(88\) −5.48023 3.16401i −0.584194 0.337285i
\(89\) 3.12184 + 0.836494i 0.330914 + 0.0886682i 0.420451 0.907315i \(-0.361872\pi\)
−0.0895366 + 0.995984i \(0.528539\pi\)
\(90\) 10.0057 1.08097i 1.05470 0.113944i
\(91\) 4.46054 + 8.43229i 0.467592 + 0.883944i
\(92\) 5.48340i 0.571684i
\(93\) −1.61912 2.48534i −0.167895 0.257718i
\(94\) −4.90911 + 8.50283i −0.506336 + 0.877000i
\(95\) 3.88935 6.73655i 0.399039 0.691156i
\(96\) 1.45125 0.945446i 0.148118 0.0964942i
\(97\) 2.43118 2.43118i 0.246849 0.246849i −0.572827 0.819676i \(-0.694153\pi\)
0.819676 + 0.572827i \(0.194153\pi\)
\(98\) −4.64789 5.23422i −0.469508 0.528736i
\(99\) 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 \(0.139153\pi\)
\(102\) −6.28341 3.19010i −0.622150 0.315867i
\(103\) −11.0778 + 6.39579i −1.09153 + 0.630196i −0.933984 0.357315i \(-0.883692\pi\)
−0.157548 + 0.987511i \(0.550359\pi\)
\(104\) −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
\(109\) −1.36681 5.10102i −0.130917 0.488589i 0.869064 0.494699i \(-0.164722\pi\)
−0.999981 + 0.00611014i \(0.998055\pi\)
\(110\) −5.49429 + 20.5050i −0.523860 + 1.95507i
\(111\) −0.731294 13.5775i −0.0694114 1.28872i
\(112\) 2.25109 + 1.39018i 0.212708 + 0.131360i
\(113\) 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
\(115\) 17.7681 4.76095i 1.65688 0.443961i
\(116\) −0.0638462 + 0.110585i −0.00592797 + 0.0102675i
\(117\) 6.31839 + 8.77941i 0.584135 + 0.811657i
\(118\) 6.40409 0.589544
\(119\) 0.318913 10.7595i 0.0292347 0.986322i
\(120\) −4.32362 3.88168i −0.394691 0.354347i
\(121\) −25.1527 + 14.5219i −2.28661 + 1.32018i
\(122\) 3.46830 0.929327i 0.314005 0.0841373i
\(123\) 15.5574 + 7.89854i 1.40277 + 0.712187i
\(124\) −0.443241 + 1.65420i −0.0398042 + 0.148551i
\(125\) 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 \(-0.636059\pi\)
0.414543 0.910030i \(-0.363941\pi\)
\(128\) −0.965926 0.258819i −0.0853766 0.0228766i
\(129\) −1.37680 4.21657i −0.121221 0.371248i
\(130\) −6.12506 + 10.4298i −0.537203 + 0.914758i
\(131\) 3.33860 1.92754i 0.291695 0.168410i −0.347011 0.937861i \(-0.612803\pi\)
0.638706 + 0.769451i \(0.279470\pi\)
\(132\) −0.589485 10.9446i −0.0513080 0.952604i
\(133\) −5.97031 + 1.41157i −0.517692 + 0.122399i
\(134\) −3.26786 −0.282300
\(135\) 11.0286 + 13.4988i 0.949195 + 1.16180i
\(136\) 1.05300 + 3.92986i 0.0902943 + 0.336983i
\(137\) 0.634758 + 2.36895i 0.0542311 + 0.202393i 0.987726 0.156198i \(-0.0499239\pi\)
−0.933495 + 0.358591i \(0.883257\pi\)
\(138\) −7.95779 + 5.18426i −0.677412 + 0.441313i
\(139\) 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
\(143\) −22.0817 + 5.74191i −1.84656 + 0.480163i
\(144\) 2.74416 + 1.21226i 0.228680 + 0.101022i
\(145\) 0.413767 + 0.110869i 0.0343615 + 0.00920714i
\(146\) 4.22521i 0.349681i
\(147\) 3.20184 11.6939i 0.264083 0.964500i
\(148\) −5.55102 + 5.55102i −0.456291 + 0.456291i
\(149\) −1.52018 + 5.67339i −0.124538 + 0.464783i −0.999823 0.0188255i \(-0.994007\pi\)
0.875285 + 0.483608i \(0.160674\pi\)
\(150\) −4.90351 + 9.65825i −0.400370 + 0.788593i
\(151\) 10.5214 2.81919i 0.856217 0.229423i 0.196098 0.980584i \(-0.437173\pi\)
0.660118 + 0.751162i \(0.270506\pi\)
\(152\) 2.00812 1.15939i 0.162880 0.0940389i
\(153\) −1.31099 12.1349i −0.105987 0.981046i
\(154\) 14.7410 7.93794i 1.18786 0.639657i
\(155\) 5.74501 0.461451
\(156\) 1.33475 6.10069i 0.106866 0.488446i
\(157\) −3.72889 + 6.45864i −0.297598 + 0.515455i −0.975586 0.219618i \(-0.929519\pi\)
0.677988 + 0.735073i \(0.262852\pi\)
\(158\) 5.83099 1.56241i 0.463888 0.124298i
\(159\) −5.26159 1.11042i −0.417271 0.0880620i
\(160\) 3.35465i 0.265209i
\(161\) −12.3436 7.62291i −0.972813 0.600769i
\(162\) −7.57632 4.85792i −0.595252 0.381674i
\(163\) 2.40111 8.96107i 0.188070 0.701885i −0.805883 0.592075i \(-0.798309\pi\)
0.993953 0.109810i \(-0.0350243\pi\)
\(164\) −2.60719 9.73017i −0.203587 0.759799i
\(165\) −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 \(-0.608558\pi\)
0.942406 + 0.334471i \(0.108558\pi\)
\(168\) 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
\(171\) −6.48705 + 2.51174i −0.496077 + 0.192077i
\(172\) −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
\(175\) −16.5385 0.490203i −1.25019 0.0370559i
\(176\) −4.47459 + 4.47459i −0.337285 + 0.337285i
\(177\) 6.05472 + 9.29394i 0.455101 + 0.698576i
\(178\) 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 \(0.0481272\pi\)
\(180\) 1.54554 9.94458i 0.115198 0.741225i
\(181\) 0.413098i 0.0307053i 0.999882 + 0.0153527i \(0.00488710\pi\)
−0.999882 + 0.0153527i \(0.995113\pi\)
\(182\) 9.29944 2.12612i 0.689321 0.157598i
\(183\) 4.62777 + 4.15474i 0.342095 + 0.307127i
\(184\) 5.29656 + 1.41921i 0.390467 + 0.104625i
\(185\) 22.8069 + 13.1676i 1.67679 + 0.968098i
\(186\) −2.81972 + 0.920700i −0.206752 + 0.0675090i
\(187\) 24.8683 + 6.66343i 1.81855 + 0.487278i
\(188\) 6.94253 + 6.94253i 0.506336 + 0.506336i
\(189\) 1.78224 13.6317i 0.129639 0.991561i
\(190\) −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
\(193\) −0.842169 + 0.225659i −0.0606207 + 0.0162433i −0.289002 0.957329i \(-0.593323\pi\)
0.228381 + 0.973572i \(0.426657\pi\)
\(194\) −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 0.577612 0.816311i \(-0.303985\pi\)
−0.816311 + 0.577612i \(0.803985\pi\)
\(198\) 15.3260 11.2030i 1.08917 0.796163i
\(199\) 19.7369 + 11.3951i 1.39911 + 0.807778i 0.994300 0.106622i \(-0.0340034\pi\)
0.404813 + 0.914400i \(0.367337\pi\)
\(200\) 6.04061 1.61858i 0.427135 0.114451i
\(201\) −3.08959 4.74249i −0.217923 0.334509i
\(202\) −1.22699 1.22699i −0.0863306 0.0863306i
\(203\) −0.160179 0.297456i −0.0112423 0.0208773i
\(204\) −4.70766 + 5.24365i −0.329602 + 0.367129i
\(205\) −29.2654 + 16.8964i −2.04399 + 1.18010i
\(206\) 3.31071 + 12.3557i 0.230668 + 0.860864i
\(207\) −15.0473 6.64732i −1.04586 0.462021i
\(208\) −3.13576 + 1.77961i −0.217426 + 0.123394i
\(209\) 14.6733i 1.01497i
\(210\) 14.7486 4.33663i 1.01775 0.299256i
\(211\) 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
\(213\) −19.0263 9.65966i −1.30366 0.661869i
\(214\) 4.51431 + 16.8476i 0.308592 + 1.15168i
\(215\) 8.29829 + 2.22352i 0.565938 + 0.151643i
\(216\) 0.835158 + 5.12860i 0.0568253 + 0.348957i
\(217\) −3.10756 3.29740i −0.210955 0.223842i
\(218\) −5.28096 −0.357672
\(219\) −6.13185 + 3.99471i −0.414352 + 0.269938i
\(220\) 18.3843 + 10.6142i 1.23947 + 0.715606i
\(221\) 12.6492 + 7.42842i 0.850879 + 0.499690i
\(222\) −13.3041 2.80773i −0.892913 0.188443i
\(223\) −4.07576 + 4.07576i −0.272933 + 0.272933i −0.830280 0.557347i \(-0.811819\pi\)
0.557347 + 0.830280i \(0.311819\pi\)
\(224\) 1.92543 1.81458i 0.128649 0.121242i
\(225\) −18.6526 + 2.01513i −1.24350 + 0.134342i
\(226\) 0.585951 + 0.157005i 0.0389769 + 0.0104438i
\(227\) −16.4711 + 4.41341i −1.09322 + 0.292928i −0.760002 0.649921i \(-0.774802\pi\)
−0.333221 + 0.942849i \(0.608135\pi\)
\(228\) 3.58114 + 1.81815i 0.237167 + 0.120410i
\(229\) −2.57187 + 9.59834i −0.169954 + 0.634276i 0.827403 + 0.561609i \(0.189818\pi\)
−0.997356 + 0.0726666i \(0.976849\pi\)
\(230\) 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 \(-0.960939\pi\)
0.390232 0.920716i \(-0.372395\pi\)
\(234\) 10.1156 3.83081i 0.661276 0.250428i
\(235\) 16.4684 28.5240i 1.07428 1.86070i
\(236\) 1.65750 6.18587i 0.107894 0.402666i
\(237\) 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 \(-0.205030\pi\)
−0.600495 + 0.799629i \(0.705030\pi\)
\(240\) −4.86845 + 3.17164i −0.314257 + 0.204729i
\(241\) 17.2303 4.61685i 1.10990 0.297397i 0.343112 0.939295i \(-0.388519\pi\)
0.766791 + 0.641897i \(0.221852\pi\)
\(242\) 7.51710 + 28.0542i 0.483218 + 1.80339i
\(243\) −0.112933 15.5880i −0.00724462 0.999974i
\(244\) 3.59064i 0.229867i
\(245\) 15.5921 + 17.5590i 0.996141 + 1.12180i
\(246\) 11.6560 12.9830i 0.743157 0.827769i
\(247\) 2.22357 8.05936i 0.141482 0.512805i
\(248\) 1.48311 + 0.856275i 0.0941777 + 0.0543735i
\(249\) −0.863167 0.438232i −0.0547010 0.0277718i
\(250\) −2.10286 3.64226i −0.132997 0.230357i
\(251\) 25.3659 1.60108 0.800542 0.599276i \(-0.204545\pi\)
0.800542 + 0.599276i \(0.204545\pi\)
\(252\) −6.54379 + 4.49209i −0.412220 + 0.282975i
\(253\) 24.5359 24.5359i 1.54256 1.54256i
\(254\) −19.8121 5.30864i −1.24312 0.333094i
\(255\) 21.0787 + 10.7017i 1.32000 + 0.670164i
\(256\) −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
\(261\) −0.226064 0.309262i −0.0139930 0.0191428i
\(262\) −0.997770 3.72373i −0.0616424 0.230053i
\(263\) −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
\(266\) −0.181760 + 6.13222i −0.0111444 + 0.375991i
\(267\) 5.58982 0.301072i 0.342092 0.0184253i
\(268\) −0.845785 + 3.15651i −0.0516645 + 0.192815i
\(269\) 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
\(271\) 1.12592 4.20199i 0.0683948 0.255253i −0.923260 0.384176i \(-0.874485\pi\)
0.991655 + 0.128923i \(0.0411522\pi\)
\(272\) 4.06849 0.246689
\(273\) 11.8777 + 11.4857i 0.718868 + 0.695146i
\(274\) 2.45252 0.148162
\(275\) 10.2424 38.2251i 0.617639 2.30506i
\(276\) 2.94798 + 9.02842i 0.177448 + 0.543447i
\(277\) 6.13780 + 3.54366i 0.368785 + 0.212918i 0.672928 0.739708i \(-0.265037\pi\)
−0.304143 + 0.952627i \(0.598370\pi\)
\(278\) 4.47444 16.6989i 0.268359 1.00153i
\(279\) −4.00206 3.22165i −0.239597 0.192875i
\(280\) −7.55162 4.66357i −0.451296 0.278702i
\(281\) 7.47121 7.47121i 0.445695 0.445695i −0.448226 0.893920i \(-0.647944\pi\)
0.893920 + 0.448226i \(0.147944\pi\)
\(282\) −3.51157 + 16.6392i −0.209111 + 0.990847i
\(283\) −10.1109 5.83755i −0.601033 0.347006i 0.168415 0.985716i \(-0.446135\pi\)
−0.769448 + 0.638710i \(0.779468\pi\)
\(284\) 3.18851 + 11.8997i 0.189203 + 0.706116i
\(285\) 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
\(288\) 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
\(291\) 2.69589 5.30999i 0.158036 0.311277i
\(292\) 4.08124 + 1.09357i 0.238837 + 0.0639961i
\(293\) −11.5897 + 11.5897i −0.677076 + 0.677076i −0.959338 0.282261i \(-0.908916\pi\)
0.282261 + 0.959338i \(0.408916\pi\)
\(294\) −10.4668 6.11936i −0.610435 0.356888i
\(295\) −21.4835 −1.25082
\(296\) 3.92516 + 6.79858i 0.228145 + 0.395159i
\(297\) 30.7483 + 11.6501i 1.78420 + 0.676006i
\(298\) 5.08663 + 2.93676i 0.294660 + 0.170122i
\(299\) 17.1946 9.75832i 0.994390 0.564338i
\(300\) 8.06003 + 7.23617i 0.465346 + 0.417780i
\(301\) −3.21245 5.96561i −0.185163 0.343852i
\(302\) 10.8925i 0.626794i
\(303\) 0.620618 2.94072i 0.0356536 0.168940i
\(304\) −0.600144 2.23977i −0.0344206 0.128460i
\(305\) −11.6349 + 3.11757i −0.666214 + 0.178512i
\(306\) −12.0607 1.87442i −0.689464 0.107153i
\(307\) −18.6550 18.6550i −1.06469 1.06469i −0.997757 0.0669373i \(-0.978677\pi\)
−0.0669373 0.997757i \(-0.521323\pi\)
\(308\) −3.85222 16.2932i −0.219500 0.928390i
\(309\) −14.8012 + 16.4863i −0.842009 + 0.937875i
\(310\) 1.48692 5.54926i 0.0844513 0.315177i
\(311\) 6.40089 11.0867i 0.362961 0.628667i −0.625486 0.780236i \(-0.715099\pi\)
0.988447 + 0.151569i \(0.0484325\pi\)
\(312\) −5.54736 2.86825i −0.314057 0.162383i
\(313\) −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
\(317\) −0.0940699 + 0.351074i −0.00528349 + 0.0197183i −0.968517 0.248946i \(-0.919916\pi\)
0.963234 + 0.268665i \(0.0865824\pi\)
\(318\) −2.43438 + 4.79491i −0.136513 + 0.268885i
\(319\) 0.780507 0.209136i 0.0437000 0.0117094i
\(320\) 3.24035 + 0.868248i 0.181141 + 0.0485365i
\(321\) −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
\(325\) 11.4183 19.4432i 0.633371 1.07851i
\(326\) −8.03428 4.63859i −0.444977 0.256908i
\(327\) −4.99287 7.66401i −0.276106 0.423821i
\(328\) −10.0734 −0.556211
\(329\) −25.2796 + 5.97689i −1.39371 + 0.329517i
\(330\) 1.97752 + 36.7153i 0.108859 + 2.02111i
\(331\) 13.2172 + 3.54154i 0.726484 + 0.194661i 0.603063 0.797694i \(-0.293947\pi\)
0.123421 + 0.992354i \(0.460613\pi\)
\(332\) 0.144654 + 0.539855i 0.00793891 + 0.0296284i
\(333\) −8.50359 21.9622i −0.465994 1.20352i
\(334\) −5.55521 9.62191i −0.303968 0.526487i
\(335\) 10.9625 0.598948
\(336\) 4.45381 + 1.07870i 0.242975 + 0.0588480i
\(337\) 6.55986i 0.357338i 0.983909 + 0.178669i \(0.0571792\pi\)
−0.983909 + 0.178669i \(0.942821\pi\)
\(338\) −3.55018 + 12.5058i −0.193104 + 0.680228i
\(339\) 0.326131 + 0.998803i 0.0177130 + 0.0542475i
\(340\) −3.53246 13.1833i −0.191575 0.714966i
\(341\) 9.38517 5.41853i 0.508235 0.293430i
\(342\) 0.747180 + 6.91609i 0.0404029 + 0.373980i
\(343\) 1.64418 18.4471i 0.0887774 0.996051i
\(344\) 1.81085 + 1.81085i 0.0976344 + 0.0976344i
\(345\) 26.6956 17.3914i 1.43724 0.936321i
\(346\) −14.3973 + 3.85776i −0.774006 + 0.207394i
\(347\) −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 0.787977 0.615705i \(-0.211129\pi\)
−0.615705 + 0.787977i \(0.711129\pi\)
\(350\) −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
\(353\) 17.7995 4.76936i 0.947372 0.253848i 0.248125 0.968728i \(-0.420185\pi\)
0.699247 + 0.714880i \(0.253519\pi\)
\(354\) 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
\(357\) −5.25942 17.8870i −0.278358 0.946679i
\(358\) −6.88445 6.88445i −0.363854 0.363854i
\(359\) −8.34901 2.23711i −0.440644 0.118070i 0.0316744 0.999498i \(-0.489916\pi\)
−0.472318 + 0.881428i \(0.656583\pi\)
\(360\) −9.20571 4.06672i −0.485183 0.214335i
\(361\) −11.7981 6.81163i −0.620952 0.358507i
\(362\) 0.399022 + 0.106918i 0.0209721 + 0.00561947i
\(363\) −33.6067 + 37.4330i −1.76389 + 1.96472i
\(364\) 0.353202 9.53285i 0.0185128 0.499657i
\(365\) 14.1741i 0.741907i
\(366\) 5.21093 3.39476i 0.272380 0.177447i
\(367\) 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
\(369\) 29.8617 + 4.64097i 1.55454 + 0.241599i
\(370\) 18.6217 18.6217i 0.968098 0.968098i
\(371\) −8.21064 0.243365i −0.426275 0.0126349i
\(372\) 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
\(375\) 3.29770 6.49534i 0.170292 0.335418i
\(376\) 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 −0.0730241 + 0.997330i \(0.523265\pi\)
−0.997330 + 0.0730241i \(0.976735\pi\)
\(380\) −6.73655 + 3.88935i −0.345578 + 0.199519i
\(381\) −11.0271 33.7714i −0.564937 1.73016i
\(382\) 6.29337 + 23.4872i 0.321997 + 1.20171i
\(383\) 2.37338 8.85758i 0.121274 0.452601i −0.878405 0.477916i \(-0.841392\pi\)
0.999680 + 0.0253151i \(0.00805891\pi\)
\(384\) −1.72954 + 0.0931546i −0.0882604 + 0.00475378i
\(385\) −49.4508 + 26.6290i −2.52025 + 1.35714i
\(386\) 0.871878i 0.0443774i
\(387\) −4.53382 6.20238i −0.230467 0.315285i
\(388\) −3.32105 + 0.889874i −0.168601 + 0.0451765i
\(389\) −17.7461 + 30.7371i −0.899761 + 1.55843i −0.0719626 + 0.997407i \(0.522926\pi\)
−0.827799 + 0.561025i \(0.810407\pi\)
\(390\) −4.47763 + 20.4657i −0.226734 + 1.03632i
\(391\) −22.3092 −1.12822
\(392\) 1.40808 + 6.85692i 0.0711189 + 0.346327i
\(393\) 4.46073 4.96860i 0.225014 0.250633i
\(394\) −4.10326 + 2.36902i −0.206719 + 0.119349i
\(395\) −19.5609 + 5.24134i −0.984217 + 0.263720i
\(396\) −6.85461 17.7034i −0.344457 0.889627i
\(397\) −8.71460 + 32.5233i −0.437373 + 1.63230i 0.297949 + 0.954582i \(0.403697\pi\)
−0.735322 + 0.677718i \(0.762969\pi\)
\(398\) 16.1151 16.1151i 0.807778 0.807778i
\(399\) −9.07124 + 5.53391i −0.454130 + 0.277042i
\(400\) 6.25370i 0.312685i
\(401\) 14.5053 + 3.88669i 0.724362 + 0.194092i 0.602117 0.798408i \(-0.294324\pi\)
0.122245 + 0.992500i \(0.460991\pi\)
\(402\) −5.38054 + 1.75687i −0.268357 + 0.0876245i
\(403\) 5.97596 1.55393i 0.297684 0.0774069i
\(404\) −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
\(408\) 3.84654 + 5.90441i 0.190432 + 0.292312i
\(409\) 7.30067 + 27.2465i 0.360995 + 1.34725i 0.872770 + 0.488131i \(0.162321\pi\)
−0.511775 + 0.859119i \(0.671012\pi\)
\(410\) 8.74622 + 32.6413i 0.431945 + 1.61204i
\(411\) 2.31872 + 3.55922i 0.114374 + 0.175563i
\(412\) 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
\(416\) 0.907379 + 3.48951i 0.0444879 + 0.171087i
\(417\) 28.4646 9.29432i 1.39392 0.455145i
\(418\) −14.1733 3.79773i −0.693239 0.185753i
\(419\) 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 −0.992729 0.120367i \(-0.961593\pi\)
0.120367 + 0.992729i \(0.461593\pi\)
\(422\) 3.55080 13.2518i 0.172850 0.645085i
\(423\) −27.4676 + 10.6353i −1.33552 + 0.517104i
\(424\) 2.99890 0.803554i 0.145640 0.0390240i
\(425\) −22.0344 + 12.7216i −1.06883 + 0.617087i
\(426\) −14.2549 + 15.8778i −0.690651 + 0.769284i
\(427\) 8.08286 + 4.99164i 0.391157 + 0.241562i
\(428\) 17.4419 0.843088
\(429\) −33.2705 + 21.3256i −1.60632 + 1.02961i
\(430\) 4.29551 7.44004i 0.207148 0.358791i
\(431\) 10.4099 2.78931i 0.501425 0.134356i 0.000763751 1.00000i \(-0.499757\pi\)
0.500661 + 0.865643i \(0.333090\pi\)
\(432\) 5.17000 + 0.520678i 0.248742 + 0.0250511i
\(433\) 30.1662i 1.44970i 0.688909 + 0.724848i \(0.258090\pi\)
−0.688909 + 0.724848i \(0.741910\pi\)
\(434\) −3.98934 + 2.14824i −0.191495 + 0.103119i
\(435\) 0.740874 0.0399040i 0.0355222 0.00191325i
\(436\) −1.36681 + 5.10102i −0.0654585 + 0.244294i
\(437\) 3.29083 + 12.2815i 0.157422 + 0.587506i
\(438\) 2.27156 + 6.95682i 0.108539 + 0.332410i
\(439\) −25.2577 + 14.5825i −1.20548 + 0.695986i −0.961769 0.273861i \(-0.911699\pi\)
−0.243714 + 0.969847i \(0.578366\pi\)
\(440\) 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 \(0.224221\pi\)
\(444\) −6.15542 + 12.1241i −0.292123 + 0.575384i
\(445\) −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
\(448\) −1.25441 2.32948i −0.0592653 0.110057i
\(449\) 16.7895 16.7895i 0.792348 0.792348i −0.189528 0.981875i \(-0.560696\pi\)
0.981875 + 0.189528i \(0.0606957\pi\)
\(450\) −2.88117 + 18.5385i −0.135820 + 0.873915i
\(451\) −31.8724 + 55.2046i −1.50081 + 2.59948i
\(452\) 0.303311 0.525349i 0.0142665 0.0247104i
\(453\) 15.8078 10.2983i 0.742715 0.483856i
\(454\) 17.0521i 0.800295i
\(455\) −31.1964 + 7.13238i −1.46251 + 0.334371i
\(456\) 2.68306 2.98854i 0.125646 0.139951i
\(457\) 37.2400 + 9.97842i 1.74201 + 0.466771i 0.982893 0.184179i \(-0.0589627\pi\)
0.759120 + 0.650950i \(0.225629\pi\)
\(458\) 8.60563 + 4.96846i 0.402115 + 0.232161i
\(459\) −8.68249 19.2753i −0.405264 0.899692i
\(460\) −17.7681 4.76095i −0.828442 0.221980i
\(461\) −2.27891 2.27891i −0.106140 0.106140i 0.652043 0.758182i \(-0.273912\pi\)
−0.758182 + 0.652043i \(0.773912\pi\)
\(462\) 20.0034 20.9949i 0.930644 0.976769i
\(463\) 10.4036 + 10.4036i 0.483497 + 0.483497i 0.906247 0.422749i \(-0.138935\pi\)
−0.422749 + 0.906247i \(0.638935\pi\)
\(464\) 0.110585 0.0638462i 0.00513377 0.00296398i
\(465\) 9.45917 3.08863i 0.438659 0.143232i
\(466\) −17.7593 + 4.75860i −0.822685 + 0.220438i
\(467\) −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
\(471\) −2.66734 + 12.6389i −0.122905 + 0.582369i
\(472\) −5.54610 3.20204i −0.255280 0.147386i
\(473\) 15.6534 4.19432i 0.719744 0.192855i
\(474\) 8.76074 5.70736i 0.402394 0.262148i
\(475\) 10.2537 + 10.2537i 0.470473 + 0.470473i
\(476\) −5.65594 + 9.15854i −0.259239 + 0.419781i
\(477\) −9.26020 + 1.00043i −0.423995 + 0.0458063i
\(478\) 3.77043 2.17686i 0.172455 0.0995672i
\(479\) −1.22112 4.55727i −0.0557942 0.208227i 0.932401 0.361425i \(-0.117710\pi\)
−0.988196 + 0.153198i \(0.951043\pi\)
\(480\) 1.80353 + 5.52344i 0.0823193 + 0.252109i
\(481\) 27.2853 + 7.52799i 1.24410 + 0.343247i
\(482\) 17.8381i 0.812505i
\(483\) −24.4220 5.91496i −1.11124 0.269140i
\(484\) 29.0439 1.32018
\(485\) 5.76700 + 9.98873i 0.261866 + 0.453565i
\(486\) −15.0861 3.92540i −0.684321 0.178060i
\(487\) 4.42349 + 16.5087i 0.200448 + 0.748081i 0.990789 + 0.135414i \(0.0432364\pi\)
−0.790342 + 0.612667i \(0.790097\pi\)
\(488\) −3.46830 0.929327i −0.157002 0.0420687i
\(489\) −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 \(0.689369\pi\)
\(492\) −9.52387 14.6191i −0.429369 0.659078i
\(493\) −0.449914 0.259758i −0.0202631 0.0116989i
\(494\) −7.20924 4.23372i −0.324359 0.190484i
\(495\) −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
\(499\) −26.7085 7.15652i −1.19564 0.320370i −0.394525 0.918885i \(-0.629091\pi\)
−0.801111 + 0.598516i \(0.795757\pi\)
\(500\) −4.06241 + 1.08852i −0.181677 + 0.0486801i
\(501\) 8.71166 17.1590i 0.389208 0.766608i
\(502\) 6.56519 24.5016i 0.293019 1.09356i
\(503\) 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
\(507\) −21.5056 + 6.67140i −0.955099 + 0.296287i
\(508\) −10.2555 + 17.7631i −0.455015 + 0.788109i
\(509\) −0.917520 + 3.42423i −0.0406684 + 0.151776i −0.983274 0.182131i \(-0.941701\pi\)
0.942606 + 0.333907i \(0.108367\pi\)
\(510\) 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
\(513\) −9.33057 + 7.62314i −0.411955 + 0.336570i
\(514\) 21.8368 5.85115i 0.963179 0.258083i
\(515\) −11.1063 41.4492i −0.489401 1.82647i
\(516\) −0.915937 + 4.34006i −0.0403219 + 0.191060i
\(517\) 62.1299i 2.73247i
\(518\) −20.7609 0.615356i −0.912181 0.0270372i
\(519\) −19.2105 17.2469i −0.843247 0.757054i
\(520\) 10.5194 5.96998i 0.461305 0.261801i
\(521\) −4.31187 2.48946i −0.188906 0.109065i 0.402564 0.915392i \(-0.368119\pi\)
−0.591471 + 0.806327i \(0.701452\pi\)
\(522\) −0.357234 + 0.138318i −0.0156357 + 0.00605403i
\(523\) −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
\(525\) −27.4941 + 8.08428i −1.19994 + 0.352827i
\(526\) −13.3084 + 13.3084i −0.580272 + 0.580272i
\(527\) −6.73009 1.80332i −0.293167 0.0785540i
\(528\) −4.96179 + 9.77304i −0.215934 + 0.425317i
\(529\) −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
\(534\) 1.15594 5.47728i 0.0500224 0.237025i
\(535\) −15.1439 56.5179i −0.654730 2.44348i
\(536\) 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
\(539\) 42.0326 + 13.9787i 1.81047 + 0.602107i
\(540\) −2.80167 17.2047i −0.120565 0.740371i
\(541\) 7.96540 29.7273i 0.342459 1.27807i −0.553094 0.833119i \(-0.686553\pi\)
0.895553 0.444956i \(-0.146781\pi\)
\(542\) −3.76740 2.17511i −0.161824 0.0934290i
\(543\) 0.222090 + 0.680166i 0.00953077 + 0.0291887i
\(544\) 1.05300 3.92986i 0.0451472 0.168492i
\(545\) 17.7158 0.758862
\(546\) 14.1685 8.50021i 0.606356 0.363776i
\(547\) 11.8216 0.505453 0.252727 0.967538i \(-0.418673\pi\)
0.252727 + 0.967538i \(0.418673\pi\)
\(548\) 0.634758 2.36895i 0.0271155 0.101197i
\(549\) 9.85330 + 4.35280i 0.420529 + 0.185773i
\(550\) −34.2717 19.7868i −1.46135 0.843711i
\(551\) −0.0766338 + 0.286001i −0.00326471 + 0.0121841i
\(552\) 9.48378 0.510804i 0.403656 0.0217413i
\(553\) 13.5891 + 8.39207i 0.577867 + 0.356867i
\(554\) 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
\(557\) −2.81630 10.5106i −0.119330 0.445347i 0.880244 0.474521i \(-0.157379\pi\)
−0.999574 + 0.0291745i \(0.990712\pi\)
\(558\) −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
\(561\) 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 \(0.315608\pi\)
\(564\) 15.1633 + 7.69845i 0.638491 + 0.324163i
\(565\) −1.96566 0.526698i −0.0826961 0.0221583i
\(566\) −8.25554 + 8.25554i −0.347006 + 0.347006i
\(567\) −4.39422 23.4028i −0.184540 0.982825i
\(568\) 12.3195 0.516913
\(569\) −6.50476 11.2666i −0.272694 0.472319i 0.696857 0.717210i \(-0.254581\pi\)
−0.969551 + 0.244891i \(0.921248\pi\)
\(570\) −12.0135 6.09926i −0.503189 0.255470i
\(571\) 30.0569 + 17.3534i 1.25784 + 0.726216i 0.972655 0.232256i \(-0.0746107\pi\)
0.285188 + 0.958472i \(0.407944\pi\)
\(572\) 21.9943 + 6.06820i 0.919626 + 0.253724i
\(573\) −28.1357 + 31.3391i −1.17539 + 1.30921i
\(574\) 14.0038 22.6761i 0.584509 0.946484i
\(575\) 34.2915i 1.43006i
\(576\) −1.77038 2.42193i −0.0737659 0.100914i
\(577\) 10.5029 + 39.1973i 0.437240 + 1.63180i 0.735648 + 0.677364i \(0.236878\pi\)
−0.298407 + 0.954439i \(0.596455\pi\)
\(578\) 0.432114 0.115785i 0.0179736 0.00481600i
\(579\) −1.26531 + 0.824314i −0.0525847 + 0.0342573i
\(580\) −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
\(583\) 5.08491 18.9771i 0.210595 0.785952i
\(584\) 2.11261 3.65914i 0.0874203 0.151416i
\(585\) −33.9342 + 12.8510i −1.40301 + 0.531326i
\(586\) 8.19514 + 14.1944i 0.338538 + 0.586365i
\(587\) 11.6106 + 11.6106i 0.479223 + 0.479223i 0.904883 0.425660i \(-0.139958\pi\)
−0.425660 + 0.904883i \(0.639958\pi\)
\(588\) −8.61985 + 8.52633i −0.355476 + 0.351620i
\(589\) 3.97103i 0.163623i
\(590\) −5.56034 + 20.7515i −0.228915 + 0.854324i
\(591\) −7.31746 3.71509i −0.301000 0.152818i
\(592\) 7.58283 2.03181i 0.311652 0.0835070i
\(593\) −36.0042 9.64729i −1.47851 0.396167i −0.572673 0.819784i \(-0.694094\pi\)
−0.905841 + 0.423617i \(0.860760\pi\)
\(594\) 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
\(598\) −4.97552 19.1344i −0.203464 0.782462i
\(599\) 36.8375 + 21.2681i 1.50514 + 0.868993i 0.999982 + 0.00596522i \(0.00189880\pi\)
0.505157 + 0.863027i \(0.331435\pi\)
\(600\) 9.07569 5.91254i 0.370513 0.241378i
\(601\) −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
\(604\) −10.5214 2.81919i −0.428108 0.114711i
\(605\) −25.2173 94.1122i −1.02523 3.82620i
\(606\) −2.67989 1.36059i −0.108863 0.0552700i
\(607\) −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
\(609\) −0.423652 0.403647i −0.0171673 0.0163566i
\(610\) 12.0454i 0.487703i
\(611\) 9.41509 34.1251i 0.380894 1.38055i
\(612\) −4.93208 + 11.1646i −0.199368 + 0.451302i
\(613\) 5.09834 + 19.0273i 0.205920 + 0.768504i 0.989167 + 0.146794i \(0.0468953\pi\)
−0.783247 + 0.621711i \(0.786438\pi\)
\(614\) −22.8476 + 13.1910i −0.922052 + 0.532347i
\(615\) −39.1017 + 43.5536i −1.57673 + 1.75625i
\(616\) −16.7350 0.496029i −0.674273 0.0199856i
\(617\) 24.8368 + 24.8368i 0.999893 + 0.999893i 1.00000 0.000106988i \(-3.40553e-5\pi\)
−0.000106988 1.00000i \(0.500034\pi\)
\(618\) 12.0938 + 18.5638i 0.486482 + 0.746746i
\(619\) −39.1040 + 10.4779i −1.57172 + 0.421142i −0.936352 0.351063i \(-0.885820\pi\)
−0.635373 + 0.772206i \(0.719153\pi\)
\(620\) −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
\(624\) −4.20628 + 4.61598i −0.168386 + 0.184787i
\(625\) −8.57988 14.8608i −0.343195 0.594431i
\(626\) −15.7634 + 4.22379i −0.630033 + 0.168817i
\(627\) −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
\(630\) 21.9521 15.0694i 0.874594 0.600379i
\(631\) −12.0035 12.0035i −0.477850 0.477850i 0.426593 0.904444i \(-0.359714\pi\)
−0.904444 + 0.426593i \(0.859714\pi\)
\(632\) −5.83099 1.56241i −0.231944 0.0621492i
\(633\) 22.5887 7.37572i 0.897821 0.293159i
\(634\) 0.314764 + 0.181729i 0.0125009 + 0.00721738i
\(635\) 66.4628 + 17.8087i 2.63750 + 0.706715i
\(636\) 4.00146 + 3.59245i 0.158668 + 0.142450i
\(637\) 20.9683 + 14.0475i 0.830794 + 0.556581i
\(638\) 0.808040i 0.0319906i
\(639\) −36.5200 5.67576i −1.44471 0.224530i
\(640\) 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 \(0.997923\pi\)
\(642\) 16.4904 + 25.3127i 0.650825 + 0.999011i
\(643\) 0.384715 0.384715i 0.0151717 0.0151717i −0.699480 0.714652i \(-0.746585\pi\)
0.714652 + 0.699480i \(0.246585\pi\)
\(644\) 6.87843 + 12.7734i 0.271048 + 0.503344i
\(645\) 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 \(0.164337\pi\)
\(648\) 4.13232 + 7.99524i 0.162333 + 0.314083i
\(649\) −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
\(655\) 3.34717 + 12.4918i 0.130785 + 0.488096i
\(656\) −2.60719 + 9.73017i −0.101794 + 0.379899i
\(657\) −7.94846 + 9.87389i −0.310099 + 0.385217i
\(658\) −0.769612 + 25.9652i −0.0300026 + 1.01223i
\(659\) 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
\(661\) −20.9552 + 5.61492i −0.815061 + 0.218395i −0.642186 0.766549i \(-0.721972\pi\)
−0.172875 + 0.984944i \(0.555306\pi\)
\(662\) 6.84173 11.8502i 0.265911 0.460572i
\(663\) 24.8206 + 5.43043i 0.963953 + 0.210901i
\(664\) 0.558899 0.0216895
\(665\) 0.609742 20.5715i 0.0236448 0.797727i
\(666\) −23.4147 + 2.52961i −0.907302 + 0.0980204i
\(667\) −0.606381 + 0.350094i −0.0234792 + 0.0135557i
\(668\) −10.7318 + 2.87559i −0.415228 + 0.111260i
\(669\) −4.51953 + 8.90194i −0.174735 + 0.344169i
\(670\) 2.83732 10.5890i 0.109615 0.409089i
\(671\) −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 \(0.141665\pi\)
−0.902587 + 0.430507i \(0.858335\pi\)
\(674\) 6.33634 + 1.69782i 0.244067 + 0.0653975i
\(675\) −29.6281 + 13.3459i −1.14039 + 0.513683i
\(676\) 11.1609 + 6.66596i 0.429264 + 0.256383i
\(677\) 21.2839 12.2883i 0.818006 0.472276i −0.0317225 0.999497i \(-0.510099\pi\)
0.849728 + 0.527221i \(0.176766\pi\)
\(678\) 1.04918 0.0565096i 0.0402934 0.00217024i
\(679\) 2.61368 8.71307i 0.100304 0.334377i
\(680\) −13.6484 −0.523392
\(681\) −24.7469 + 16.1218i −0.948303 + 0.617790i
\(682\) −2.80484 10.4678i −0.107403 0.400833i
\(683\) 8.20161 + 30.6088i 0.313826 + 1.17121i 0.925078 + 0.379778i \(0.124000\pi\)
−0.611252 + 0.791436i \(0.709334\pi\)
\(684\) 6.87382 + 1.06830i 0.262827 + 0.0408473i
\(685\) −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
\(689\) 5.66867 9.65270i 0.215959 0.367739i
\(690\) −9.88945 30.2872i −0.376485 1.15301i
\(691\) 11.0866 + 2.97064i 0.421753 + 0.113008i 0.463453 0.886122i \(-0.346610\pi\)
−0.0416992 + 0.999130i \(0.513277\pi\)
\(692\) 14.9052i 0.566612i
\(693\) 49.3810 + 9.18051i 1.87583 + 0.348739i
\(694\) −14.7691 + 14.7691i −0.560629 + 0.560629i
\(695\) −15.0102 + 56.0189i −0.569370 + 2.12492i
\(696\) 0.197209 + 0.100123i 0.00747518 + 0.00379516i
\(697\) 39.5871 10.6073i 1.49947 0.401782i
\(698\) 3.94161 2.27569i 0.149192 0.0861360i
\(699\) −23.6964 21.2743i −0.896281 0.804667i
\(700\) 14.0776 + 8.69376i 0.532084 + 0.328593i
\(701\) 10.1192 0.382196 0.191098 0.981571i \(-0.438795\pi\)
0.191098 + 0.981571i \(0.438795\pi\)
\(702\) 14.5958 11.7458i 0.550882 0.443315i
\(703\) −9.10158 + 15.7644i −0.343273 + 0.594566i
\(704\) 6.11240 1.63781i 0.230370 0.0617274i
\(705\) 11.7801 55.8186i 0.443664 2.10225i
\(706\) 18.4274i 0.693525i
\(707\) 0.136017 4.58896i 0.00511546 0.172585i
\(708\) −0.596570 11.0762i −0.0224205 0.416267i
\(709\) −7.59719 + 28.3531i −0.285318 + 1.06482i 0.663288 + 0.748364i \(0.269160\pi\)
−0.948606 + 0.316459i \(0.897506\pi\)
\(710\) −10.6963 39.9193i −0.401427 1.49815i
\(711\) 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
\(717\) 6.72391 + 3.41374i 0.251109 + 0.127488i
\(718\) −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
\(721\) −17.7826 + 28.7950i −0.662259 + 1.07238i
\(722\) −9.63310 + 9.63310i −0.358507 + 0.358507i
\(723\) 25.8876 16.8650i 0.962771 0.627216i
\(724\) 0.206549 0.357753i 0.00767633 0.0132958i
\(725\) −0.399275 + 0.691564i −0.0148287 + 0.0256840i
\(726\) 27.4594 + 42.1499i 1.01911 + 1.56433i
\(727\) 3.12755i 0.115995i −0.998317 0.0579973i \(-0.981529\pi\)
0.998317 0.0579973i \(-0.0184715\pi\)
\(728\) −9.11661 2.80845i −0.337884 0.104088i
\(729\) −8.56638 25.6050i −0.317273 0.948334i
\(730\) −13.6911 3.66853i −0.506732 0.135778i
\(731\) −9.02321 5.20956i −0.333736 0.192682i
\(732\) −1.93040 5.91200i −0.0713496 0.218514i
\(733\) −8.88387 2.38043i −0.328133 0.0879230i 0.0909916 0.995852i \(-0.470996\pi\)
−0.419125 + 0.907929i \(0.637663\pi\)
\(734\) −17.3534 17.3534i −0.640527 0.640527i
\(735\) 35.1124 + 20.5283i 1.29514 + 0.757198i
\(736\) −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
\(739\) −34.2145 + 9.16774i −1.25860 + 0.337241i −0.825653 0.564179i \(-0.809193\pi\)
−0.432947 + 0.901420i \(0.642526\pi\)
\(740\) −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 0.741661 0.670775i \(-0.234038\pi\)
−0.670775 + 0.741661i \(0.734038\pi\)
\(744\) 2.90230 + 0.612508i 0.106403 + 0.0224556i
\(745\) −17.0639 9.85183i −0.625172 0.360943i
\(746\) 1.25170 0.335393i 0.0458282 0.0122796i
\(747\) −1.65681 0.257493i −0.0606194 0.00942118i
\(748\) −18.2048 18.2048i −0.665635 0.665635i
\(749\) −24.2474 + 39.2634i −0.885982 + 1.43465i
\(750\) −5.42051 4.86645i −0.197929 0.177698i
\(751\) 44.5053 25.6951i 1.62402 0.937628i 0.638190 0.769879i \(-0.279683\pi\)
0.985830 0.167750i \(-0.0536500\pi\)
\(752\) −2.54114 9.48367i −0.0926659 0.345834i
\(753\) 41.7651 13.6372i 1.52200 0.496968i
\(754\) 0.122449 0.443819i 0.00445934 0.0161629i
\(755\) 36.5406i 1.32985i
\(756\) −8.35932 + 10.9143i −0.304025 + 0.396949i
\(757\) 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
\(759\) 27.2075 53.5895i 0.987568 1.94517i
\(760\) 2.01328 + 7.51365i 0.0730292 + 0.272549i
\(761\) −30.8841 8.27536i −1.11955 0.299981i −0.348846 0.937180i \(-0.613427\pi\)
−0.770700 + 0.637198i \(0.780093\pi\)
\(762\) −35.4747 + 1.91070i −1.28511 + 0.0692173i
\(763\) −9.58273 10.1682i −0.346918 0.368112i
\(764\) 24.3157 0.879711
\(765\) 40.4594 + 6.28801i 1.46281 + 0.227344i
\(766\) −7.94149 4.58502i −0.286938 0.165664i
\(767\) −22.3471 + 5.81093i −0.806907 + 0.209821i
\(768\) −0.357658 + 1.69472i −0.0129059 + 0.0611530i
\(769\) −15.3274 + 15.3274i −0.552718 + 0.552718i −0.927224 0.374506i \(-0.877812\pi\)
0.374506 + 0.927224i \(0.377812\pi\)
\(770\) 12.9228 + 54.6579i 0.465707 + 1.96974i
\(771\) 29.1370 + 26.1587i 1.04934 + 0.942083i
\(772\) 0.842169 + 0.225659i 0.0303103 + 0.00812163i
\(773\) 19.0165 5.09546i 0.683977 0.183271i 0.0999342 0.994994i \(-0.468137\pi\)
0.584043 + 0.811723i \(0.301470\pi\)
\(774\) −7.16448