Properties

Label 165.2.m.a.16.2
Level $165$
Weight $2$
Character 165.16
Analytic conductor $1.318$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 165 = 3 \cdot 5 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 165.m (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.31753163335\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(2\) over \(\Q(\zeta_{5})\)
Coefficient field: 8.0.13140625.1
Defining polynomial: \(x^{8} - 3 x^{7} + 5 x^{6} - 3 x^{5} + 4 x^{4} + 3 x^{3} + 5 x^{2} + 3 x + 1\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 16.2
Root \(0.418926 + 1.28932i\) of defining polynomial
Character \(\chi\) \(=\) 165.16
Dual form 165.2.m.a.31.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.758911 + 2.33569i) q^{2} +(-0.809017 - 0.587785i) q^{3} +(-3.26145 + 2.36959i) q^{4} +(-0.309017 + 0.951057i) q^{5} +(0.758911 - 2.33569i) q^{6} +(-2.65911 + 1.93196i) q^{7} +(-4.03606 - 2.93237i) q^{8} +(0.309017 + 0.951057i) q^{9} +O(q^{10})\) \(q+(0.758911 + 2.33569i) q^{2} +(-0.809017 - 0.587785i) q^{3} +(-3.26145 + 2.36959i) q^{4} +(-0.309017 + 0.951057i) q^{5} +(0.758911 - 2.33569i) q^{6} +(-2.65911 + 1.93196i) q^{7} +(-4.03606 - 2.93237i) q^{8} +(0.309017 + 0.951057i) q^{9} -2.45589 q^{10} +(2.96813 + 1.47994i) q^{11} +4.03138 q^{12} +(-0.0967635 - 0.297808i) q^{13} +(-6.53048 - 4.74467i) q^{14} +(0.809017 - 0.587785i) q^{15} +(1.29455 - 3.98423i) q^{16} +(1.54508 - 4.75528i) q^{17} +(-1.98685 + 1.44353i) q^{18} +(6.03048 + 4.38140i) q^{19} +(-1.24576 - 3.83407i) q^{20} +3.28684 q^{21} +(-1.20413 + 8.05576i) q^{22} +1.07392 q^{23} +(1.54164 + 4.74467i) q^{24} +(-0.809017 - 0.587785i) q^{25} +(0.622150 - 0.452019i) q^{26} +(0.309017 - 0.951057i) q^{27} +(4.09463 - 12.6020i) q^{28} +(4.07459 - 2.96036i) q^{29} +(1.98685 + 1.44353i) q^{30} +(1.06580 + 3.28018i) q^{31} +0.310680 q^{32} +(-1.53138 - 2.94192i) q^{33} +12.2794 q^{34} +(-1.01569 - 3.12597i) q^{35} +(-3.26145 - 2.36959i) q^{36} +(-2.13118 + 1.54839i) q^{37} +(-5.65698 + 17.4104i) q^{38} +(-0.0967635 + 0.297808i) q^{39} +(4.03606 - 2.93237i) q^{40} +(-8.77557 - 6.37583i) q^{41} +(2.49442 + 7.67703i) q^{42} -5.51468 q^{43} +(-13.1873 + 2.20648i) q^{44} -1.00000 q^{45} +(0.815010 + 2.50834i) q^{46} +(9.70674 + 7.05236i) q^{47} +(-3.38919 + 2.46239i) q^{48} +(1.17529 - 3.61718i) q^{49} +(0.758911 - 2.33569i) q^{50} +(-4.04508 + 2.93893i) q^{51} +(1.02127 + 0.741996i) q^{52} +(1.52513 + 4.69387i) q^{53} +2.45589 q^{54} +(-2.32471 + 2.36553i) q^{55} +16.3975 q^{56} +(-2.30344 - 7.08925i) q^{57} +(10.0067 + 7.27031i) q^{58} +(7.41391 - 5.38652i) q^{59} +(-1.24576 + 3.83407i) q^{60} +(2.83811 - 8.73480i) q^{61} +(-6.85264 + 4.97873i) q^{62} +(-2.65911 - 1.93196i) q^{63} +(-2.35333 - 7.24280i) q^{64} +0.313133 q^{65} +(5.70922 - 5.80948i) q^{66} -15.2739 q^{67} +(6.22882 + 19.1704i) q^{68} +(-0.868820 - 0.631235i) q^{69} +(6.53048 - 4.74467i) q^{70} +(0.949335 - 2.92175i) q^{71} +(1.54164 - 4.74467i) q^{72} +(7.00018 - 5.08592i) q^{73} +(-5.23394 - 3.80268i) q^{74} +(0.309017 + 0.951057i) q^{75} -30.0502 q^{76} +(-10.7518 + 1.79898i) q^{77} -0.769020 q^{78} +(1.67316 + 5.14946i) q^{79} +(3.38919 + 2.46239i) q^{80} +(-0.809017 + 0.587785i) q^{81} +(8.23206 - 25.3357i) q^{82} +(5.02011 - 15.4503i) q^{83} +(-10.7199 + 7.78845i) q^{84} +(4.04508 + 2.93893i) q^{85} +(-4.18515 - 12.8806i) q^{86} -5.03647 q^{87} +(-7.63981 - 14.6768i) q^{88} +1.62118 q^{89} +(-0.758911 - 2.33569i) q^{90} +(0.832656 + 0.604960i) q^{91} +(-3.50254 + 2.54475i) q^{92} +(1.06580 - 3.28018i) q^{93} +(-9.10556 + 28.0240i) q^{94} +(-6.03048 + 4.38140i) q^{95} +(-0.251345 - 0.182613i) q^{96} +(0.0692451 + 0.213115i) q^{97} +9.34054 q^{98} +(-0.490303 + 3.28018i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8 q - 2 q^{3} - 2 q^{4} + 2 q^{5} + q^{7} + 5 q^{8} - 2 q^{9} + O(q^{10}) \) \( 8 q - 2 q^{3} - 2 q^{4} + 2 q^{5} + q^{7} + 5 q^{8} - 2 q^{9} - 10 q^{10} - 3 q^{11} + 18 q^{12} + 6 q^{13} - 10 q^{14} + 2 q^{15} - 20 q^{16} - 10 q^{17} - 5 q^{18} + 6 q^{19} + 7 q^{20} - 4 q^{21} - 25 q^{22} - 10 q^{23} - 20 q^{24} - 2 q^{25} - 8 q^{26} - 2 q^{27} + 31 q^{28} + 5 q^{30} + 3 q^{31} + 60 q^{32} + 2 q^{33} + 50 q^{34} - q^{35} - 2 q^{36} - 19 q^{37} - 28 q^{38} + 6 q^{39} - 5 q^{40} - 25 q^{41} + 15 q^{42} - 4 q^{43} + 7 q^{44} - 8 q^{45} - 6 q^{46} + 15 q^{47} + 5 q^{48} + 21 q^{49} - 10 q^{51} + 6 q^{52} + 7 q^{53} + 10 q^{54} - 7 q^{55} + 20 q^{56} - 9 q^{57} - 2 q^{58} + 35 q^{59} + 7 q^{60} + 21 q^{61} - 19 q^{62} + q^{63} - 77 q^{64} - 6 q^{65} + 25 q^{66} - 26 q^{67} - 35 q^{68} - 5 q^{69} + 10 q^{70} + 25 q^{71} - 20 q^{72} + q^{73} - 29 q^{74} - 2 q^{75} - 14 q^{76} - 61 q^{77} + 12 q^{78} + 30 q^{79} - 5 q^{80} - 2 q^{81} + 57 q^{82} + 11 q^{83} - 34 q^{84} + 10 q^{85} - 34 q^{86} + 10 q^{87} - 85 q^{88} + 32 q^{89} + 37 q^{91} - 10 q^{92} + 3 q^{93} - 39 q^{94} - 6 q^{95} + 10 q^{96} + 5 q^{97} + 50 q^{98} - 3 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).

\(n\) \(46\) \(56\) \(67\)
\(\chi(n)\) \(e\left(\frac{2}{5}\right)\) \(1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.758911 + 2.33569i 0.536631 + 1.65158i 0.740098 + 0.672499i \(0.234779\pi\)
−0.203468 + 0.979082i \(0.565221\pi\)
\(3\) −0.809017 0.587785i −0.467086 0.339358i
\(4\) −3.26145 + 2.36959i −1.63073 + 1.18479i
\(5\) −0.309017 + 0.951057i −0.138197 + 0.425325i
\(6\) 0.758911 2.33569i 0.309824 0.953540i
\(7\) −2.65911 + 1.93196i −1.00505 + 0.730211i −0.963165 0.268911i \(-0.913336\pi\)
−0.0418845 + 0.999122i \(0.513336\pi\)
\(8\) −4.03606 2.93237i −1.42696 1.03675i
\(9\) 0.309017 + 0.951057i 0.103006 + 0.317019i
\(10\) −2.45589 −0.776620
\(11\) 2.96813 + 1.47994i 0.894924 + 0.446218i
\(12\) 4.03138 1.16376
\(13\) −0.0967635 0.297808i −0.0268374 0.0825970i 0.936741 0.350024i \(-0.113827\pi\)
−0.963578 + 0.267427i \(0.913827\pi\)
\(14\) −6.53048 4.74467i −1.74534 1.26807i
\(15\) 0.809017 0.587785i 0.208887 0.151765i
\(16\) 1.29455 3.98423i 0.323638 0.996057i
\(17\) 1.54508 4.75528i 0.374738 1.15333i −0.568917 0.822395i \(-0.692637\pi\)
0.943655 0.330930i \(-0.107363\pi\)
\(18\) −1.98685 + 1.44353i −0.468306 + 0.340244i
\(19\) 6.03048 + 4.38140i 1.38349 + 1.00516i 0.996545 + 0.0830568i \(0.0264683\pi\)
0.386941 + 0.922104i \(0.373532\pi\)
\(20\) −1.24576 3.83407i −0.278561 0.857324i
\(21\) 3.28684 0.717248
\(22\) −1.20413 + 8.05576i −0.256721 + 1.71749i
\(23\) 1.07392 0.223928 0.111964 0.993712i \(-0.464286\pi\)
0.111964 + 0.993712i \(0.464286\pi\)
\(24\) 1.54164 + 4.74467i 0.314685 + 0.968501i
\(25\) −0.809017 0.587785i −0.161803 0.117557i
\(26\) 0.622150 0.452019i 0.122014 0.0886482i
\(27\) 0.309017 0.951057i 0.0594703 0.183031i
\(28\) 4.09463 12.6020i 0.773813 2.38155i
\(29\) 4.07459 2.96036i 0.756632 0.549725i −0.141243 0.989975i \(-0.545110\pi\)
0.897875 + 0.440250i \(0.145110\pi\)
\(30\) 1.98685 + 1.44353i 0.362748 + 0.263552i
\(31\) 1.06580 + 3.28018i 0.191423 + 0.589138i 1.00000 0.000748050i \(0.000238112\pi\)
−0.808577 + 0.588390i \(0.799762\pi\)
\(32\) 0.310680 0.0549210
\(33\) −1.53138 2.94192i −0.266579 0.512122i
\(34\) 12.2794 2.10591
\(35\) −1.01569 3.12597i −0.171683 0.528386i
\(36\) −3.26145 2.36959i −0.543576 0.394931i
\(37\) −2.13118 + 1.54839i −0.350364 + 0.254554i −0.749022 0.662546i \(-0.769476\pi\)
0.398658 + 0.917100i \(0.369476\pi\)
\(38\) −5.65698 + 17.4104i −0.917683 + 2.82434i
\(39\) −0.0967635 + 0.297808i −0.0154946 + 0.0476874i
\(40\) 4.03606 2.93237i 0.638156 0.463648i
\(41\) −8.77557 6.37583i −1.37051 0.995737i −0.997697 0.0678321i \(-0.978392\pi\)
−0.372817 0.927905i \(-0.621608\pi\)
\(42\) 2.49442 + 7.67703i 0.384897 + 1.18459i
\(43\) −5.51468 −0.840980 −0.420490 0.907297i \(-0.638142\pi\)
−0.420490 + 0.907297i \(0.638142\pi\)
\(44\) −13.1873 + 2.20648i −1.98805 + 0.332640i
\(45\) −1.00000 −0.149071
\(46\) 0.815010 + 2.50834i 0.120167 + 0.369835i
\(47\) 9.70674 + 7.05236i 1.41587 + 1.02869i 0.992435 + 0.122767i \(0.0391769\pi\)
0.423438 + 0.905925i \(0.360823\pi\)
\(48\) −3.38919 + 2.46239i −0.489187 + 0.355415i
\(49\) 1.17529 3.61718i 0.167899 0.516740i
\(50\) 0.758911 2.33569i 0.107326 0.330316i
\(51\) −4.04508 + 2.93893i −0.566425 + 0.411532i
\(52\) 1.02127 + 0.741996i 0.141625 + 0.102896i
\(53\) 1.52513 + 4.69387i 0.209493 + 0.644753i 0.999499 + 0.0316539i \(0.0100774\pi\)
−0.790006 + 0.613099i \(0.789923\pi\)
\(54\) 2.45589 0.334204
\(55\) −2.32471 + 2.36553i −0.313463 + 0.318968i
\(56\) 16.3975 2.19121
\(57\) −2.30344 7.08925i −0.305098 0.938994i
\(58\) 10.0067 + 7.27031i 1.31395 + 0.954639i
\(59\) 7.41391 5.38652i 0.965208 0.701265i 0.0108537 0.999941i \(-0.496545\pi\)
0.954354 + 0.298676i \(0.0965451\pi\)
\(60\) −1.24576 + 3.83407i −0.160828 + 0.494976i
\(61\) 2.83811 8.73480i 0.363382 1.11838i −0.587605 0.809148i \(-0.699929\pi\)
0.950988 0.309229i \(-0.100071\pi\)
\(62\) −6.85264 + 4.97873i −0.870286 + 0.632300i
\(63\) −2.65911 1.93196i −0.335016 0.243404i
\(64\) −2.35333 7.24280i −0.294166 0.905350i
\(65\) 0.313133 0.0388394
\(66\) 5.70922 5.80948i 0.702756 0.715097i
\(67\) −15.2739 −1.86600 −0.933000 0.359876i \(-0.882819\pi\)
−0.933000 + 0.359876i \(0.882819\pi\)
\(68\) 6.22882 + 19.1704i 0.755356 + 2.32475i
\(69\) −0.868820 0.631235i −0.104594 0.0759917i
\(70\) 6.53048 4.74467i 0.780541 0.567096i
\(71\) 0.949335 2.92175i 0.112665 0.346748i −0.878788 0.477213i \(-0.841647\pi\)
0.991453 + 0.130465i \(0.0416470\pi\)
\(72\) 1.54164 4.74467i 0.181684 0.559164i
\(73\) 7.00018 5.08592i 0.819309 0.595262i −0.0972058 0.995264i \(-0.530991\pi\)
0.916514 + 0.400002i \(0.130991\pi\)
\(74\) −5.23394 3.80268i −0.608433 0.442052i
\(75\) 0.309017 + 0.951057i 0.0356822 + 0.109819i
\(76\) −30.0502 −3.44700
\(77\) −10.7518 + 1.79898i −1.22528 + 0.205012i
\(78\) −0.769020 −0.0870744
\(79\) 1.67316 + 5.14946i 0.188245 + 0.579360i 0.999989 0.00465401i \(-0.00148142\pi\)
−0.811744 + 0.584014i \(0.801481\pi\)
\(80\) 3.38919 + 2.46239i 0.378922 + 0.275303i
\(81\) −0.809017 + 0.587785i −0.0898908 + 0.0653095i
\(82\) 8.23206 25.3357i 0.909079 2.79786i
\(83\) 5.02011 15.4503i 0.551029 1.69589i −0.155178 0.987887i \(-0.549595\pi\)
0.706207 0.708006i \(-0.250405\pi\)
\(84\) −10.7199 + 7.78845i −1.16964 + 0.849790i
\(85\) 4.04508 + 2.93893i 0.438751 + 0.318771i
\(86\) −4.18515 12.8806i −0.451296 1.38895i
\(87\) −5.03647 −0.539966
\(88\) −7.63981 14.6768i −0.814406 1.56455i
\(89\) 1.62118 0.171845 0.0859223 0.996302i \(-0.472616\pi\)
0.0859223 + 0.996302i \(0.472616\pi\)
\(90\) −0.758911 2.33569i −0.0799962 0.246203i
\(91\) 0.832656 + 0.604960i 0.0872861 + 0.0634171i
\(92\) −3.50254 + 2.54475i −0.365165 + 0.265308i
\(93\) 1.06580 3.28018i 0.110518 0.340139i
\(94\) −9.10556 + 28.0240i −0.939166 + 2.89046i
\(95\) −6.03048 + 4.38140i −0.618714 + 0.449522i
\(96\) −0.251345 0.182613i −0.0256528 0.0186379i
\(97\) 0.0692451 + 0.213115i 0.00703078 + 0.0216385i 0.954510 0.298178i \(-0.0963788\pi\)
−0.947480 + 0.319816i \(0.896379\pi\)
\(98\) 9.34054 0.943537
\(99\) −0.490303 + 3.28018i −0.0492773 + 0.329671i
\(100\) 4.03138 0.403138
\(101\) −0.156154 0.480593i −0.0155379 0.0478208i 0.942987 0.332830i \(-0.108003\pi\)
−0.958525 + 0.285009i \(0.908003\pi\)
\(102\) −9.93427 7.21767i −0.983639 0.714656i
\(103\) 5.17930 3.76298i 0.510332 0.370778i −0.302618 0.953112i \(-0.597861\pi\)
0.812949 + 0.582334i \(0.197861\pi\)
\(104\) −0.482738 + 1.48571i −0.0473363 + 0.145686i
\(105\) −1.01569 + 3.12597i −0.0991212 + 0.305064i
\(106\) −9.80598 + 7.12446i −0.952441 + 0.691989i
\(107\) −1.69286 1.22993i −0.163655 0.118902i 0.502943 0.864319i \(-0.332250\pi\)
−0.666598 + 0.745417i \(0.732250\pi\)
\(108\) 1.24576 + 3.83407i 0.119874 + 0.368934i
\(109\) −6.69278 −0.641052 −0.320526 0.947240i \(-0.603860\pi\)
−0.320526 + 0.947240i \(0.603860\pi\)
\(110\) −7.28939 3.63456i −0.695016 0.346542i
\(111\) 2.63428 0.250035
\(112\) 4.25499 + 13.0955i 0.402059 + 1.23741i
\(113\) 8.73262 + 6.34462i 0.821496 + 0.596852i 0.917141 0.398564i \(-0.130491\pi\)
−0.0956448 + 0.995416i \(0.530491\pi\)
\(114\) 14.8102 10.7602i 1.38710 1.00779i
\(115\) −0.331860 + 1.02136i −0.0309461 + 0.0952423i
\(116\) −6.27426 + 19.3102i −0.582550 + 1.79290i
\(117\) 0.253330 0.184055i 0.0234204 0.0170159i
\(118\) 18.2077 + 13.2287i 1.67616 + 1.21780i
\(119\) 5.07845 + 15.6299i 0.465541 + 1.43279i
\(120\) −4.98884 −0.455417
\(121\) 6.61956 + 8.78529i 0.601779 + 0.798663i
\(122\) 22.5556 2.04209
\(123\) 3.35197 + 10.3163i 0.302237 + 0.930190i
\(124\) −11.2487 8.17267i −1.01017 0.733928i
\(125\) 0.809017 0.587785i 0.0723607 0.0525731i
\(126\) 2.49442 7.67703i 0.222221 0.683925i
\(127\) −5.25430 + 16.1711i −0.466244 + 1.43495i 0.391167 + 0.920320i \(0.372071\pi\)
−0.857411 + 0.514632i \(0.827929\pi\)
\(128\) 15.6336 11.3585i 1.38183 1.00396i
\(129\) 4.46147 + 3.24145i 0.392810 + 0.285393i
\(130\) 0.237640 + 0.731382i 0.0208424 + 0.0641464i
\(131\) −0.0430508 −0.00376136 −0.00188068 0.999998i \(-0.500599\pi\)
−0.00188068 + 0.999998i \(0.500599\pi\)
\(132\) 11.9657 + 5.96619i 1.04148 + 0.519291i
\(133\) −24.5004 −2.12445
\(134\) −11.5915 35.6750i −1.00135 3.08185i
\(135\) 0.809017 + 0.587785i 0.0696291 + 0.0505885i
\(136\) −20.1803 + 14.6618i −1.73044 + 1.25724i
\(137\) 2.27516 7.00222i 0.194380 0.598240i −0.805603 0.592455i \(-0.798159\pi\)
0.999983 0.00578480i \(-0.00184137\pi\)
\(138\) 0.815010 2.50834i 0.0693783 0.213524i
\(139\) −10.7109 + 7.78189i −0.908483 + 0.660052i −0.940631 0.339432i \(-0.889765\pi\)
0.0321478 + 0.999483i \(0.489765\pi\)
\(140\) 10.7199 + 7.78845i 0.905996 + 0.658244i
\(141\) −3.70764 11.4110i −0.312240 0.960976i
\(142\) 7.54476 0.633142
\(143\) 0.153530 1.02713i 0.0128388 0.0858933i
\(144\) 4.18926 0.349105
\(145\) 1.55635 + 4.78997i 0.129248 + 0.397785i
\(146\) 17.1916 + 12.4905i 1.42279 + 1.03372i
\(147\) −3.07696 + 2.23554i −0.253783 + 0.184384i
\(148\) 3.28170 10.1000i 0.269754 0.830217i
\(149\) −1.81658 + 5.59087i −0.148820 + 0.458022i −0.997482 0.0709136i \(-0.977409\pi\)
0.848662 + 0.528935i \(0.177409\pi\)
\(150\) −1.98685 + 1.44353i −0.162226 + 0.117864i
\(151\) −6.17135 4.48375i −0.502217 0.364882i 0.307646 0.951501i \(-0.400459\pi\)
−0.809863 + 0.586619i \(0.800459\pi\)
\(152\) −11.4915 35.3671i −0.932082 2.86865i
\(153\) 5.00000 0.404226
\(154\) −12.3615 23.7475i −0.996116 1.91363i
\(155\) −3.44899 −0.277029
\(156\) −0.390091 1.20058i −0.0312322 0.0961230i
\(157\) 8.19795 + 5.95616i 0.654267 + 0.475353i 0.864722 0.502250i \(-0.167494\pi\)
−0.210455 + 0.977604i \(0.567494\pi\)
\(158\) −10.7578 + 7.81596i −0.855841 + 0.621805i
\(159\) 1.52513 4.69387i 0.120951 0.372248i
\(160\) −0.0960054 + 0.295474i −0.00758989 + 0.0233593i
\(161\) −2.85567 + 2.07477i −0.225059 + 0.163515i
\(162\) −1.98685 1.44353i −0.156102 0.113415i
\(163\) −1.55407 4.78292i −0.121724 0.374627i 0.871566 0.490278i \(-0.163105\pi\)
−0.993290 + 0.115651i \(0.963105\pi\)
\(164\) 43.7292 3.41468
\(165\) 3.27115 0.547326i 0.254659 0.0426093i
\(166\) 39.8969 3.09660
\(167\) 1.78953 + 5.50761i 0.138478 + 0.426192i 0.996115 0.0880642i \(-0.0280681\pi\)
−0.857637 + 0.514256i \(0.828068\pi\)
\(168\) −13.2659 9.63822i −1.02348 0.743605i
\(169\) 10.4379 7.58357i 0.802915 0.583352i
\(170\) −3.79455 + 11.6784i −0.291029 + 0.895695i
\(171\) −2.30344 + 7.08925i −0.176148 + 0.542128i
\(172\) 17.9859 13.0675i 1.37141 0.996387i
\(173\) −12.9970 9.44290i −0.988146 0.717930i −0.0286316 0.999590i \(-0.509115\pi\)
−0.959514 + 0.281660i \(0.909115\pi\)
\(174\) −3.82223 11.7636i −0.289762 0.891797i
\(175\) 3.28684 0.248462
\(176\) 9.73881 9.90983i 0.734090 0.746982i
\(177\) −9.16409 −0.688815
\(178\) 1.23033 + 3.78657i 0.0922171 + 0.283815i
\(179\) 6.71734 + 4.88043i 0.502078 + 0.364781i 0.809810 0.586692i \(-0.199570\pi\)
−0.307732 + 0.951473i \(0.599570\pi\)
\(180\) 3.26145 2.36959i 0.243094 0.176618i
\(181\) −1.99756 + 6.14787i −0.148478 + 0.456968i −0.997442 0.0714830i \(-0.977227\pi\)
0.848964 + 0.528451i \(0.177227\pi\)
\(182\) −0.781086 + 2.40394i −0.0578980 + 0.178192i
\(183\) −7.43026 + 5.39840i −0.549261 + 0.399061i
\(184\) −4.33440 3.14913i −0.319536 0.232157i
\(185\) −0.814038 2.50535i −0.0598493 0.184197i
\(186\) 8.47033 0.621074
\(187\) 11.6235 11.8277i 0.849997 0.864924i
\(188\) −48.3693 −3.52769
\(189\) 1.01569 + 3.12597i 0.0738806 + 0.227381i
\(190\) −14.8102 10.7602i −1.07444 0.780628i
\(191\) −12.4340 + 9.03384i −0.899694 + 0.653666i −0.938387 0.345585i \(-0.887680\pi\)
0.0386935 + 0.999251i \(0.487680\pi\)
\(192\) −2.35333 + 7.24280i −0.169837 + 0.522704i
\(193\) 4.86757 14.9808i 0.350375 1.07834i −0.608267 0.793732i \(-0.708135\pi\)
0.958643 0.284612i \(-0.0918648\pi\)
\(194\) −0.445218 + 0.323470i −0.0319648 + 0.0232238i
\(195\) −0.253330 0.184055i −0.0181414 0.0131805i
\(196\) 4.73805 + 14.5822i 0.338432 + 1.04159i
\(197\) 16.3940 1.16802 0.584010 0.811746i \(-0.301483\pi\)
0.584010 + 0.811746i \(0.301483\pi\)
\(198\) −8.03358 + 1.34417i −0.570922 + 0.0955261i
\(199\) 6.96500 0.493736 0.246868 0.969049i \(-0.420599\pi\)
0.246868 + 0.969049i \(0.420599\pi\)
\(200\) 1.54164 + 4.74467i 0.109010 + 0.335499i
\(201\) 12.3568 + 8.97776i 0.871583 + 0.633242i
\(202\) 1.00401 0.729455i 0.0706418 0.0513242i
\(203\) −5.11549 + 15.7439i −0.359037 + 1.10500i
\(204\) 6.22882 19.1704i 0.436105 1.34219i
\(205\) 8.77557 6.37583i 0.612913 0.445307i
\(206\) 12.7198 + 9.24146i 0.886229 + 0.643883i
\(207\) 0.331860 + 1.02136i 0.0230658 + 0.0709894i
\(208\) −1.31180 −0.0909569
\(209\) 11.4150 + 21.9293i 0.789594 + 1.51688i
\(210\) −8.07211 −0.557029
\(211\) −6.16585 18.9765i −0.424475 1.30640i −0.903496 0.428596i \(-0.859008\pi\)
0.479022 0.877803i \(-0.340992\pi\)
\(212\) −16.0967 11.6949i −1.10552 0.803211i
\(213\) −2.48539 + 1.80574i −0.170296 + 0.123727i
\(214\) 1.58801 4.88740i 0.108554 0.334096i
\(215\) 1.70413 5.24477i 0.116221 0.357690i
\(216\) −4.03606 + 2.93237i −0.274619 + 0.199522i
\(217\) −9.17124 6.66330i −0.622585 0.452334i
\(218\) −5.07922 15.6322i −0.344008 1.05875i
\(219\) −8.65269 −0.584695
\(220\) 1.97660 13.2237i 0.133262 0.891539i
\(221\) −1.56567 −0.105318
\(222\) 1.99919 + 6.15286i 0.134177 + 0.412953i
\(223\) 16.2990 + 11.8419i 1.09146 + 0.792992i 0.979645 0.200737i \(-0.0643336\pi\)
0.111815 + 0.993729i \(0.464334\pi\)
\(224\) −0.826133 + 0.600220i −0.0551983 + 0.0401039i
\(225\) 0.309017 0.951057i 0.0206011 0.0634038i
\(226\) −8.19177 + 25.2117i −0.544908 + 1.67706i
\(227\) −0.431964 + 0.313840i −0.0286705 + 0.0208303i −0.602028 0.798475i \(-0.705641\pi\)
0.573358 + 0.819305i \(0.305641\pi\)
\(228\) 24.3111 + 17.6631i 1.61004 + 1.16977i
\(229\) −6.85803 21.1068i −0.453191 1.39478i −0.873245 0.487281i \(-0.837989\pi\)
0.420054 0.907499i \(-0.362011\pi\)
\(230\) −2.63743 −0.173907
\(231\) 9.75577 + 4.86432i 0.641882 + 0.320049i
\(232\) −25.1261 −1.64961
\(233\) −1.41087 4.34221i −0.0924291 0.284467i 0.894146 0.447775i \(-0.147784\pi\)
−0.986575 + 0.163308i \(0.947784\pi\)
\(234\) 0.622150 + 0.452019i 0.0406712 + 0.0295494i
\(235\) −9.70674 + 7.05236i −0.633198 + 0.460045i
\(236\) −11.4163 + 35.1358i −0.743138 + 2.28714i
\(237\) 1.67316 5.14946i 0.108684 0.334493i
\(238\) −32.6524 + 23.7233i −2.11654 + 1.53776i
\(239\) 4.74126 + 3.44473i 0.306687 + 0.222821i 0.730474 0.682941i \(-0.239299\pi\)
−0.423787 + 0.905762i \(0.639299\pi\)
\(240\) −1.29455 3.98423i −0.0835631 0.257181i
\(241\) 9.96074 0.641628 0.320814 0.947142i \(-0.396044\pi\)
0.320814 + 0.947142i \(0.396044\pi\)
\(242\) −15.4960 + 22.1285i −0.996123 + 1.42247i
\(243\) 1.00000 0.0641500
\(244\) 11.4415 + 35.2133i 0.732466 + 2.25430i
\(245\) 3.07696 + 2.23554i 0.196580 + 0.142823i
\(246\) −21.5518 + 15.6583i −1.37409 + 0.998337i
\(247\) 0.721283 2.21988i 0.0458941 0.141248i
\(248\) 5.31709 16.3643i 0.337635 1.03913i
\(249\) −13.1428 + 9.54882i −0.832892 + 0.605132i
\(250\) 1.98685 + 1.44353i 0.125660 + 0.0912971i
\(251\) −5.21584 16.0527i −0.329221 1.01324i −0.969499 0.245094i \(-0.921181\pi\)
0.640279 0.768143i \(-0.278819\pi\)
\(252\) 13.2505 0.834704
\(253\) 3.18753 + 1.58934i 0.200399 + 0.0999207i
\(254\) −41.7581 −2.62014
\(255\) −1.54508 4.75528i −0.0967570 0.297787i
\(256\) 26.0723 + 18.9426i 1.62952 + 1.18391i
\(257\) −9.01534 + 6.55003i −0.562362 + 0.408580i −0.832323 0.554292i \(-0.812989\pi\)
0.269961 + 0.962871i \(0.412989\pi\)
\(258\) −4.18515 + 12.8806i −0.260556 + 0.801909i
\(259\) 2.67561 8.23470i 0.166255 0.511679i
\(260\) −1.02127 + 0.741996i −0.0633365 + 0.0460167i
\(261\) 4.07459 + 2.96036i 0.252211 + 0.183242i
\(262\) −0.0326717 0.100553i −0.00201846 0.00621220i
\(263\) −26.8726 −1.65704 −0.828519 0.559961i \(-0.810816\pi\)
−0.828519 + 0.559961i \(0.810816\pi\)
\(264\) −2.44604 + 16.3643i −0.150544 + 1.00715i
\(265\) −4.93543 −0.303181
\(266\) −18.5936 57.2252i −1.14005 3.50870i
\(267\) −1.31156 0.952905i −0.0802662 0.0583168i
\(268\) 49.8150 36.1927i 3.04294 2.21082i
\(269\) −3.10961 + 9.57038i −0.189596 + 0.583516i −0.999997 0.00235886i \(-0.999249\pi\)
0.810401 + 0.585875i \(0.199249\pi\)
\(270\) −0.758911 + 2.33569i −0.0461858 + 0.142145i
\(271\) −8.53037 + 6.19767i −0.518183 + 0.376482i −0.815919 0.578166i \(-0.803768\pi\)
0.297736 + 0.954648i \(0.403768\pi\)
\(272\) −16.9459 12.3119i −1.02750 0.746521i
\(273\) −0.318046 0.978846i −0.0192490 0.0592425i
\(274\) 18.0816 1.09235
\(275\) −1.53138 2.94192i −0.0923457 0.177404i
\(276\) 4.32938 0.260598
\(277\) −5.54302 17.0597i −0.333048 1.02502i −0.967676 0.252198i \(-0.918847\pi\)
0.634628 0.772818i \(-0.281153\pi\)
\(278\) −26.3047 19.1114i −1.57765 1.14623i
\(279\) −2.79029 + 2.02726i −0.167050 + 0.121369i
\(280\) −5.06711 + 15.5950i −0.302818 + 0.931978i
\(281\) 2.29013 7.04830i 0.136618 0.420467i −0.859220 0.511606i \(-0.829051\pi\)
0.995838 + 0.0911392i \(0.0290508\pi\)
\(282\) 23.8387 17.3198i 1.41957 1.03138i
\(283\) −4.35804 3.16630i −0.259059 0.188217i 0.450673 0.892689i \(-0.351184\pi\)
−0.709732 + 0.704472i \(0.751184\pi\)
\(284\) 3.82713 + 11.7787i 0.227098 + 0.698937i
\(285\) 7.45408 0.441541
\(286\) 2.51558 0.420905i 0.148749 0.0248886i
\(287\) 35.6530 2.10453
\(288\) 0.0960054 + 0.295474i 0.00565717 + 0.0174110i
\(289\) −6.47214 4.70228i −0.380714 0.276605i
\(290\) −10.0067 + 7.27031i −0.587615 + 0.426927i
\(291\) 0.0692451 0.213115i 0.00405922 0.0124930i
\(292\) −10.7792 + 33.1750i −0.630806 + 1.94142i
\(293\) 1.40774 1.02278i 0.0822409 0.0597515i −0.545905 0.837847i \(-0.683814\pi\)
0.628146 + 0.778096i \(0.283814\pi\)
\(294\) −7.55666 5.49023i −0.440713 0.320197i
\(295\) 2.83186 + 8.71557i 0.164877 + 0.507440i
\(296\) 13.1420 0.763864
\(297\) 2.32471 2.36553i 0.134893 0.137262i
\(298\) −14.4371 −0.836321
\(299\) −0.103916 0.319822i −0.00600964 0.0184958i
\(300\) −3.26145 2.36959i −0.188300 0.136808i
\(301\) 14.6641 10.6541i 0.845227 0.614093i
\(302\) 5.78913 17.8171i 0.333127 1.02526i
\(303\) −0.156154 + 0.480593i −0.00897082 + 0.0276094i
\(304\) 25.2633 18.3548i 1.44895 1.05272i
\(305\) 7.43026 + 5.39840i 0.425456 + 0.309112i
\(306\) 3.79455 + 11.6784i 0.216920 + 0.667612i
\(307\) 21.3566 1.21889 0.609444 0.792829i \(-0.291393\pi\)
0.609444 + 0.792829i \(0.291393\pi\)
\(308\) 30.8035 31.3445i 1.75519 1.78602i
\(309\) −6.40197 −0.364195
\(310\) −2.61747 8.05576i −0.148663 0.457536i
\(311\) −26.5435 19.2850i −1.50514 1.09355i −0.968275 0.249886i \(-0.919607\pi\)
−0.536870 0.843665i \(-0.680393\pi\)
\(312\) 1.26382 0.918222i 0.0715499 0.0519841i
\(313\) −1.06874 + 3.28925i −0.0604089 + 0.185919i −0.976707 0.214578i \(-0.931163\pi\)
0.916298 + 0.400497i \(0.131163\pi\)
\(314\) −7.69021 + 23.6680i −0.433984 + 1.33566i
\(315\) 2.65911 1.93196i 0.149824 0.108853i
\(316\) −17.6590 12.8300i −0.993398 0.721746i
\(317\) −0.888626 2.73491i −0.0499102 0.153608i 0.922995 0.384812i \(-0.125734\pi\)
−0.972905 + 0.231204i \(0.925734\pi\)
\(318\) 12.1209 0.679704
\(319\) 16.4751 2.75659i 0.922426 0.154340i
\(320\) 7.61553 0.425721
\(321\) 0.646615 + 1.99008i 0.0360905 + 0.111075i
\(322\) −7.01321 5.09540i −0.390831 0.283955i
\(323\) 30.1524 21.9070i 1.67772 1.21894i
\(324\) 1.24576 3.83407i 0.0692092 0.213004i
\(325\) −0.0967635 + 0.297808i −0.00536748 + 0.0165194i
\(326\) 9.99201 7.25962i 0.553406 0.402073i
\(327\) 5.41457 + 3.93392i 0.299427 + 0.217546i
\(328\) 16.7224 + 51.4664i 0.923342 + 2.84176i
\(329\) −39.4362 −2.17419
\(330\) 3.76090 + 7.22502i 0.207030 + 0.397724i
\(331\) −14.1221 −0.776219 −0.388109 0.921613i \(-0.626872\pi\)
−0.388109 + 0.921613i \(0.626872\pi\)
\(332\) 20.2380 + 62.2861i 1.11070 + 3.41839i
\(333\) −2.13118 1.54839i −0.116788 0.0848514i
\(334\) −11.5060 + 8.35958i −0.629579 + 0.457416i
\(335\) 4.71989 14.5263i 0.257875 0.793657i
\(336\) 4.25499 13.0955i 0.232129 0.714419i
\(337\) −12.9030 + 9.37457i −0.702870 + 0.510665i −0.880866 0.473366i \(-0.843039\pi\)
0.177995 + 0.984031i \(0.443039\pi\)
\(338\) 25.6343 + 18.6244i 1.39432 + 1.01303i
\(339\) −3.33556 10.2658i −0.181163 0.557562i
\(340\) −20.1569 −1.09316
\(341\) −1.69105 + 11.3133i −0.0915755 + 0.612650i
\(342\) −18.3064 −0.989895
\(343\) −3.24683 9.99271i −0.175312 0.539555i
\(344\) 22.2575 + 16.1711i 1.20005 + 0.871885i
\(345\) 0.868820 0.631235i 0.0467757 0.0339845i
\(346\) 12.1921 37.5233i 0.655449 2.01727i
\(347\) 9.17166 28.2275i 0.492360 1.51533i −0.328670 0.944445i \(-0.606600\pi\)
0.821030 0.570884i \(-0.193400\pi\)
\(348\) 16.4262 11.9343i 0.880537 0.639748i
\(349\) −25.6408 18.6291i −1.37252 0.997194i −0.997536 0.0701620i \(-0.977648\pi\)
−0.374984 0.927031i \(-0.622352\pi\)
\(350\) 2.49442 + 7.67703i 0.133332 + 0.410355i
\(351\) −0.313133 −0.0167138
\(352\) 0.922138 + 0.459787i 0.0491501 + 0.0245067i
\(353\) 1.20189 0.0639703 0.0319852 0.999488i \(-0.489817\pi\)
0.0319852 + 0.999488i \(0.489817\pi\)
\(354\) −6.95473 21.4044i −0.369640 1.13763i
\(355\) 2.48539 + 1.80574i 0.131911 + 0.0958388i
\(356\) −5.28740 + 3.84152i −0.280232 + 0.203600i
\(357\) 5.07845 15.6299i 0.268780 0.827220i
\(358\) −6.30130 + 19.3934i −0.333034 + 1.02497i
\(359\) 9.43239 6.85304i 0.497823 0.361689i −0.310362 0.950618i \(-0.600450\pi\)
0.808185 + 0.588929i \(0.200450\pi\)
\(360\) 4.03606 + 2.93237i 0.212719 + 0.154549i
\(361\) 11.2987 + 34.7737i 0.594667 + 1.83020i
\(362\) −15.8755 −0.834396
\(363\) −0.191475 10.9983i −0.0100498 0.577263i
\(364\) −4.14918 −0.217476
\(365\) 2.67383 + 8.22920i 0.139955 + 0.430736i
\(366\) −18.2479 13.2579i −0.953832 0.693000i
\(367\) −12.9330 + 9.39636i −0.675096 + 0.490486i −0.871727 0.489991i \(-0.837000\pi\)
0.196631 + 0.980478i \(0.437000\pi\)
\(368\) 1.39025 4.27874i 0.0724717 0.223045i
\(369\) 3.35197 10.3163i 0.174497 0.537045i
\(370\) 5.23394 3.80268i 0.272099 0.197692i
\(371\) −13.1239 9.53504i −0.681357 0.495035i
\(372\) 4.29663 + 13.2237i 0.222770 + 0.685615i
\(373\) 0.321975 0.0166712 0.00833561 0.999965i \(-0.497347\pi\)
0.00833561 + 0.999965i \(0.497347\pi\)
\(374\) 36.4469 + 18.1728i 1.88463 + 0.939693i
\(375\) −1.00000 −0.0516398
\(376\) −18.4968 56.9274i −0.953902 2.93581i
\(377\) −1.27589 0.926988i −0.0657117 0.0477423i
\(378\) −6.53048 + 4.74467i −0.335891 + 0.244039i
\(379\) 3.52819 10.8586i 0.181231 0.557771i −0.818632 0.574318i \(-0.805267\pi\)
0.999863 + 0.0165471i \(0.00526734\pi\)
\(380\) 9.28603 28.5795i 0.476363 1.46610i
\(381\) 13.7559 9.99428i 0.704738 0.512022i
\(382\) −30.5365 22.1861i −1.56239 1.13514i
\(383\) 8.76597 + 26.9789i 0.447920 + 1.37856i 0.879249 + 0.476362i \(0.158045\pi\)
−0.431329 + 0.902195i \(0.641955\pi\)
\(384\) −19.3242 −0.986136
\(385\) 1.61155 10.7814i 0.0821321 0.549473i
\(386\) 38.6846 1.96899
\(387\) −1.70413 5.24477i −0.0866257 0.266607i
\(388\) −0.730833 0.530981i −0.0371024 0.0269565i
\(389\) −12.2810 + 8.92269i −0.622673 + 0.452398i −0.853854 0.520513i \(-0.825741\pi\)
0.231181 + 0.972911i \(0.425741\pi\)
\(390\) 0.237640 0.731382i 0.0120334 0.0370349i
\(391\) 1.65930 5.10680i 0.0839143 0.258262i
\(392\) −15.3504 + 11.1528i −0.775315 + 0.563299i
\(393\) 0.0348288 + 0.0253046i 0.00175688 + 0.00127645i
\(394\) 12.4415 + 38.2911i 0.626796 + 1.92908i
\(395\) −5.41446 −0.272431
\(396\) −6.17357 11.8600i −0.310234 0.595987i
\(397\) 5.22461 0.262216 0.131108 0.991368i \(-0.458147\pi\)
0.131108 + 0.991368i \(0.458147\pi\)
\(398\) 5.28581 + 16.2681i 0.264954 + 0.815444i
\(399\) 19.8212 + 14.4010i 0.992302 + 0.720950i
\(400\) −3.38919 + 2.46239i −0.169459 + 0.123119i
\(401\) 4.32644 13.3154i 0.216052 0.664941i −0.783025 0.621990i \(-0.786324\pi\)
0.999077 0.0429502i \(-0.0136757\pi\)
\(402\) −11.5915 + 35.6750i −0.578132 + 1.77931i
\(403\) 0.873733 0.634804i 0.0435238 0.0316219i
\(404\) 1.64810 + 1.19741i 0.0819959 + 0.0595735i
\(405\) −0.309017 0.951057i −0.0153552 0.0472584i
\(406\) −40.6549 −2.01767
\(407\) −8.61714 + 1.44181i −0.427136 + 0.0714680i
\(408\) 24.9442 1.23492
\(409\) 10.2937 + 31.6809i 0.508993 + 1.56652i 0.793953 + 0.607979i \(0.208020\pi\)
−0.284960 + 0.958539i \(0.591980\pi\)
\(410\) 21.5518 + 15.6583i 1.06437 + 0.773309i
\(411\) −5.95645 + 4.32761i −0.293810 + 0.213465i
\(412\) −7.97535 + 24.5456i −0.392917 + 1.20927i
\(413\) −9.30787 + 28.6467i −0.458011 + 1.40961i
\(414\) −2.13372 + 1.55024i −0.104867 + 0.0761902i
\(415\) 13.1428 + 9.54882i 0.645156 + 0.468733i
\(416\) −0.0300625 0.0925229i −0.00147394 0.00453631i
\(417\) 13.2393 0.648334
\(418\) −42.5569 + 43.3043i −2.08153 + 2.11808i
\(419\) −5.28460 −0.258170 −0.129085 0.991634i \(-0.541204\pi\)
−0.129085 + 0.991634i \(0.541204\pi\)
\(420\) −4.09463 12.6020i −0.199798 0.614914i
\(421\) 24.9023 + 18.0926i 1.21367 + 0.881780i 0.995558 0.0941452i \(-0.0300118\pi\)
0.218107 + 0.975925i \(0.430012\pi\)
\(422\) 39.6439 28.8030i 1.92984 1.40211i
\(423\) −3.70764 + 11.4110i −0.180272 + 0.554820i
\(424\) 7.60864 23.4170i 0.369508 1.13723i
\(425\) −4.04508 + 2.93893i −0.196215 + 0.142559i
\(426\) −6.10384 4.43470i −0.295732 0.214862i
\(427\) 9.32841 + 28.7099i 0.451433 + 1.38937i
\(428\) 8.43562 0.407751
\(429\) −0.727943 + 0.740727i −0.0351454 + 0.0357626i
\(430\) 13.5434 0.653122
\(431\) 3.81656 + 11.7462i 0.183837 + 0.565793i 0.999926 0.0121333i \(-0.00386225\pi\)
−0.816089 + 0.577926i \(0.803862\pi\)
\(432\) −3.38919 2.46239i −0.163062 0.118472i
\(433\) −1.14304 + 0.830465i −0.0549308 + 0.0399096i −0.614912 0.788596i \(-0.710808\pi\)
0.559981 + 0.828505i \(0.310808\pi\)
\(434\) 8.60323 26.4780i 0.412968 1.27098i
\(435\) 1.55635 4.78997i 0.0746215 0.229661i
\(436\) 21.8282 15.8591i 1.04538 0.759514i
\(437\) 6.47625 + 4.70527i 0.309801 + 0.225084i
\(438\) −6.56662 20.2100i −0.313765 0.965670i
\(439\) −7.58532 −0.362028 −0.181014 0.983481i \(-0.557938\pi\)
−0.181014 + 0.983481i \(0.557938\pi\)
\(440\) 16.3192 2.73052i 0.777990 0.130173i
\(441\) 3.80333 0.181111
\(442\) −1.18820 3.65691i −0.0565170 0.173941i
\(443\) −8.95274 6.50455i −0.425358 0.309040i 0.354432 0.935082i \(-0.384674\pi\)
−0.779790 + 0.626041i \(0.784674\pi\)
\(444\) −8.59160 + 6.24216i −0.407739 + 0.296240i
\(445\) −0.500972 + 1.54183i −0.0237483 + 0.0730899i
\(446\) −15.2895 + 47.0562i −0.723979 + 2.22818i
\(447\) 4.75587 3.45534i 0.224945 0.163432i
\(448\) 20.2505 + 14.7129i 0.956748 + 0.695118i
\(449\) 1.95563 + 6.01882i 0.0922920 + 0.284045i 0.986538 0.163529i \(-0.0522878\pi\)
−0.894247 + 0.447575i \(0.852288\pi\)
\(450\) 2.45589 0.115772
\(451\) −16.6112 31.9116i −0.782190 1.50266i
\(452\) −43.5152 −2.04678
\(453\) 2.35725 + 7.25486i 0.110753 + 0.340863i
\(454\) −1.06085 0.770756i −0.0497884 0.0361734i
\(455\) −0.832656 + 0.604960i −0.0390355 + 0.0283610i
\(456\) −11.4915 + 35.3671i −0.538138 + 1.65622i
\(457\) −0.0585832 + 0.180300i −0.00274040 + 0.00843410i −0.952417 0.304797i \(-0.901411\pi\)
0.949677 + 0.313231i \(0.101411\pi\)
\(458\) 44.0944 32.0364i 2.06039 1.49696i
\(459\) −4.04508 2.93893i −0.188808 0.137177i
\(460\) −1.33785 4.11749i −0.0623777 0.191979i
\(461\) −26.6198 −1.23981 −0.619904 0.784678i \(-0.712828\pi\)
−0.619904 + 0.784678i \(0.712828\pi\)
\(462\) −3.95778 + 26.4780i −0.184133 + 1.23187i
\(463\) 20.9935 0.975652 0.487826 0.872941i \(-0.337790\pi\)
0.487826 + 0.872941i \(0.337790\pi\)
\(464\) −6.51998 20.0664i −0.302682 0.931561i
\(465\) 2.79029 + 2.02726i 0.129397 + 0.0940122i
\(466\) 9.07131 6.59070i 0.420221 0.305308i
\(467\) 2.44120 7.51324i 0.112965 0.347671i −0.878552 0.477647i \(-0.841490\pi\)
0.991517 + 0.129976i \(0.0414899\pi\)
\(468\) −0.390091 + 1.20058i −0.0180319 + 0.0554966i
\(469\) 40.6149 29.5085i 1.87542 1.36257i
\(470\) −23.8387 17.3198i −1.09960 0.798903i
\(471\) −3.13134 9.63727i −0.144284 0.444062i
\(472\) −45.7182 −2.10435
\(473\) −16.3683 8.16138i −0.752614 0.375261i
\(474\) 13.2973 0.610766
\(475\) −2.30344 7.08925i −0.105689 0.325277i
\(476\) −53.5994 38.9423i −2.45673 1.78492i
\(477\) −3.99285 + 2.90097i −0.182820 + 0.132826i
\(478\) −4.44762 + 13.6884i −0.203429 + 0.626091i
\(479\) 12.3523 38.0164i 0.564389 1.73701i −0.105369 0.994433i \(-0.533602\pi\)
0.669758 0.742579i \(-0.266398\pi\)
\(480\) 0.251345 0.182613i 0.0114723 0.00833511i
\(481\) 0.667344 + 0.484854i 0.0304282 + 0.0221074i
\(482\) 7.55931 + 23.2652i 0.344317 + 1.05970i
\(483\) 3.52981 0.160612
\(484\) −42.4069 12.9672i −1.92759 0.589419i
\(485\) −0.224082 −0.0101750
\(486\) 0.758911 + 2.33569i 0.0344249 + 0.105949i
\(487\) 8.03804 + 5.83998i 0.364238 + 0.264635i 0.754818 0.655935i \(-0.227725\pi\)
−0.390579 + 0.920569i \(0.627725\pi\)
\(488\) −37.0684 + 26.9318i −1.67801 + 1.21914i
\(489\) −1.55407 + 4.78292i −0.0702773 + 0.216291i
\(490\) −2.88639 + 8.88338i −0.130394 + 0.401310i
\(491\) −4.02364 + 2.92335i −0.181584 + 0.131929i −0.674864 0.737942i \(-0.735798\pi\)
0.493280 + 0.869871i \(0.335798\pi\)
\(492\) −35.3777 25.7034i −1.59495 1.15880i
\(493\) −7.78177 23.9498i −0.350473 1.07865i
\(494\) 5.73234 0.257910
\(495\) −2.96813 1.47994i −0.133407 0.0665183i
\(496\) 14.4487 0.648767
\(497\) 3.12031 + 9.60333i 0.139965 + 0.430768i
\(498\) −32.2773 23.4508i −1.44638 1.05086i
\(499\) −35.4153 + 25.7307i −1.58541 + 1.15186i −0.675256 + 0.737584i \(0.735967\pi\)
−0.910149 + 0.414281i \(0.864033\pi\)
\(500\) −1.24576 + 3.83407i −0.0557123 + 0.171465i
\(501\) 1.78953 5.50761i 0.0799504 0.246062i
\(502\) 33.5357 24.3651i 1.49677 1.08747i
\(503\) −5.08254 3.69268i −0.226619 0.164648i 0.468682 0.883367i \(-0.344729\pi\)
−0.695301 + 0.718718i \(0.744729\pi\)
\(504\) 5.06711 + 15.5950i 0.225707 + 0.694655i
\(505\) 0.505326 0.0224867
\(506\) −1.29314 + 8.65125i −0.0574870 + 0.384595i
\(507\) −12.9019 −0.572996
\(508\) −21.1821 65.1918i −0.939803 2.89242i
\(509\) −20.0945 14.5995i −0.890671 0.647111i 0.0453816 0.998970i \(-0.485550\pi\)
−0.936053 + 0.351859i \(0.885550\pi\)
\(510\) 9.93427 7.21767i 0.439897 0.319604i
\(511\) −8.78845 + 27.0481i −0.388778 + 1.19654i
\(512\) −12.5144 + 38.5155i −0.553066 + 1.70216i
\(513\) 6.03048 4.38140i 0.266252 0.193443i
\(514\) −22.1407 16.0861i −0.976583 0.709529i
\(515\) 1.97832 + 6.08863i 0.0871751 + 0.268297i
\(516\) −22.2318 −0.978699
\(517\) 18.3738 + 35.2977i 0.808078 + 1.55239i
\(518\) 21.2642 0.934296
\(519\) 4.96442 + 15.2789i 0.217914 + 0.670670i
\(520\) −1.26382 0.918222i −0.0554223 0.0402667i
\(521\) 5.62161 4.08434i 0.246287 0.178938i −0.457792 0.889059i \(-0.651360\pi\)
0.704080 + 0.710121i \(0.251360\pi\)
\(522\) −3.82223 + 11.7636i −0.167294 + 0.514879i
\(523\) −8.26650 + 25.4417i −0.361469 + 1.11249i 0.590694 + 0.806896i \(0.298854\pi\)
−0.952163 + 0.305591i \(0.901146\pi\)
\(524\) 0.140408 0.102013i 0.00613376 0.00445644i
\(525\) −2.65911 1.93196i −0.116053 0.0843175i
\(526\) −20.3939 62.7661i −0.889218 2.73673i
\(527\) 17.2449 0.751202
\(528\) −13.7037 + 2.29290i −0.596378 + 0.0997854i
\(529\) −21.8467 −0.949856
\(530\) −3.74555 11.5276i −0.162696 0.500728i
\(531\) 7.41391 + 5.38652i 0.321736 + 0.233755i
\(532\) 79.9069 58.0557i 3.46440 2.51704i
\(533\) −1.04961 + 3.23038i −0.0454638 + 0.139923i
\(534\) 1.23033 3.78657i 0.0532416 0.163861i
\(535\) 1.69286 1.22993i 0.0731887 0.0531747i
\(536\) 61.6462 + 44.7886i 2.66271 + 1.93457i
\(537\) −2.56580 7.89671i −0.110722 0.340768i
\(538\) −24.7133 −1.06547
\(539\) 8.84162 8.99689i 0.380836 0.387524i
\(540\) −4.03138 −0.173483
\(541\) 4.48336 + 13.7984i 0.192755 + 0.593237i 0.999995 + 0.00301536i \(0.000959822\pi\)
−0.807241 + 0.590222i \(0.799040\pi\)
\(542\) −20.9496 15.2208i −0.899863 0.653789i
\(543\) 5.22969 3.79959i 0.224428 0.163056i
\(544\) 0.480027 1.47737i 0.0205810 0.0633418i
\(545\) 2.06818 6.36521i 0.0885912 0.272656i
\(546\) 2.04491 1.48571i 0.0875141 0.0635827i
\(547\) 21.6287 + 15.7142i 0.924777 + 0.671890i 0.944708 0.327912i \(-0.106345\pi\)
−0.0199316 + 0.999801i \(0.506345\pi\)
\(548\) 9.17203 + 28.2286i 0.391810 + 1.20587i
\(549\) 9.18431 0.391977
\(550\) 5.70922 5.80948i 0.243442 0.247717i
\(551\) 37.5422 1.59935
\(552\) 1.65559 + 5.09540i 0.0704668 + 0.216875i
\(553\) −14.3977 10.4605i −0.612251 0.444826i
\(554\) 35.6394 25.8935i 1.51417 1.10011i
\(555\) −0.814038 + 2.50535i −0.0345540 + 0.106346i
\(556\) 16.4931 50.7606i 0.699464 2.15273i
\(557\) −13.9510 + 10.1360i −0.591125 + 0.429477i −0.842718 0.538356i \(-0.819046\pi\)
0.251593 + 0.967833i \(0.419046\pi\)
\(558\) −6.85264 4.97873i −0.290095 0.210767i
\(559\) 0.533620 + 1.64231i 0.0225697 + 0.0694624i
\(560\) −13.7694 −0.581865
\(561\) −16.3558 + 2.73663i −0.690541 + 0.115541i
\(562\) 18.2006 0.767748
\(563\) −0.257075 0.791197i −0.0108344 0.0333450i 0.945493 0.325642i \(-0.105580\pi\)
−0.956328 + 0.292297i \(0.905580\pi\)
\(564\) 39.1316 + 28.4307i 1.64774 + 1.19715i
\(565\) −8.73262 + 6.34462i −0.367384 + 0.266920i
\(566\) 4.08813 12.5820i 0.171837 0.528860i
\(567\) 1.01569 3.12597i 0.0426550 0.131278i
\(568\) −12.3992 + 9.00855i −0.520259 + 0.377991i
\(569\) −9.38141 6.81599i −0.393289 0.285741i 0.373513 0.927625i \(-0.378153\pi\)
−0.766802 + 0.641884i \(0.778153\pi\)
\(570\) 5.65698 + 17.4104i 0.236945 + 0.729241i
\(571\) 21.8414 0.914034 0.457017 0.889458i \(-0.348918\pi\)
0.457017 + 0.889458i \(0.348918\pi\)
\(572\) 1.93315 + 3.71376i 0.0808292 + 0.155280i
\(573\) 15.3693 0.642061
\(574\) 27.0575 + 83.2744i 1.12936 + 3.47580i
\(575\) −0.868820 0.631235i −0.0362323 0.0263243i
\(576\) 6.16110 4.47630i 0.256712 0.186512i
\(577\) 3.01164 9.26888i 0.125376 0.385868i −0.868593 0.495526i \(-0.834975\pi\)
0.993969 + 0.109657i \(0.0349754\pi\)
\(578\) 6.07129 18.6855i 0.252532 0.777214i
\(579\) −12.7435 + 9.25867i −0.529600 + 0.384777i
\(580\) −16.4262 11.9343i −0.682061 0.495547i
\(581\) 16.5003 + 50.7827i 0.684548 + 2.10682i
\(582\) 0.550320 0.0228115
\(583\) −2.41986 + 16.1891i −0.100220 + 0.670485i
\(584\) −43.1669 −1.78626
\(585\) 0.0967635 + 0.297808i 0.00400068 + 0.0123128i
\(586\) 3.45724 + 2.51183i 0.142817 + 0.103763i
\(587\) −18.5622 + 13.4862i −0.766143 + 0.556635i −0.900788 0.434258i \(-0.857010\pi\)
0.134645 + 0.990894i \(0.457010\pi\)
\(588\) 4.73805 14.5822i 0.195394 0.601361i
\(589\) −7.94453 + 24.4507i −0.327349 + 1.00748i
\(590\) −18.2077 + 13.2287i −0.749600 + 0.544616i
\(591\) −13.2630 9.63612i −0.545566 0.396377i
\(592\) 3.41022 + 10.4956i 0.140159 + 0.431366i
\(593\) 28.7819 1.18193 0.590965 0.806697i \(-0.298747\pi\)
0.590965 + 0.806697i \(0.298747\pi\)
\(594\) 7.28939 + 3.63456i 0.299087 + 0.149128i
\(595\) −16.4342 −0.673737
\(596\) −7.32333 22.5389i −0.299975 0.923229i
\(597\) −5.63480 4.09392i −0.230617 0.167553i
\(598\) 0.668140 0.485432i 0.0273223 0.0198508i
\(599\) −9.02179 + 27.7662i −0.368620 + 1.13450i 0.579062 + 0.815283i \(0.303419\pi\)
−0.947683 + 0.319214i \(0.896581\pi\)
\(600\) 1.54164 4.74467i 0.0629370 0.193700i
\(601\) 5.40494 3.92692i 0.220472 0.160182i −0.472067 0.881563i \(-0.656492\pi\)
0.692539 + 0.721380i \(0.256492\pi\)
\(602\) 36.0135 + 26.1653i 1.46780 + 1.06642i
\(603\) −4.71989 14.5263i −0.192209 0.591557i
\(604\) 30.7522 1.25129
\(605\) −10.4009 + 3.58078i −0.422855 + 0.145579i
\(606\) −1.24102 −0.0504131
\(607\) −13.1674 40.5252i −0.534450 1.64487i −0.744834 0.667250i \(-0.767471\pi\)
0.210384 0.977619i \(-0.432529\pi\)
\(608\) 1.87355 + 1.36121i 0.0759824 + 0.0552044i
\(609\) 13.3925 9.73024i 0.542693 0.394289i
\(610\) −6.97007 + 21.4517i −0.282210 + 0.868553i
\(611\) 1.16099 3.57315i 0.0469685 0.144554i
\(612\) −16.3073 + 11.8479i −0.659182 + 0.478924i
\(613\) 4.71783 + 3.42771i 0.190552 + 0.138444i 0.678971 0.734165i \(-0.262426\pi\)
−0.488419 + 0.872609i \(0.662426\pi\)
\(614\) 16.2078 + 49.8824i 0.654093 + 2.01309i
\(615\) −10.8472 −0.437401
\(616\) 48.6699 + 24.2673i 1.96097 + 0.977758i
\(617\) −33.6386 −1.35424 −0.677119 0.735874i \(-0.736772\pi\)
−0.677119 + 0.735874i \(0.736772\pi\)
\(618\) −4.85852 14.9530i −0.195438 0.601498i
\(619\) −34.4331 25.0171i −1.38398 1.00552i −0.996495 0.0836477i \(-0.973343\pi\)
−0.387488 0.921875i \(-0.626657\pi\)
\(620\) 11.2487 8.17267i 0.451760 0.328223i
\(621\) 0.331860 1.02136i 0.0133171 0.0409857i
\(622\) 24.8996 76.6329i 0.998381 3.07270i
\(623\) −4.31089 + 3.13205i −0.172712 + 0.125483i
\(624\) 1.06127 + 0.771056i 0.0424847 + 0.0308669i
\(625\) 0.309017 + 0.951057i 0.0123607 + 0.0380423i
\(626\) −8.49374 −0.339478
\(627\) 3.65476 24.4507i 0.145957 0.976468i
\(628\) −40.8509 −1.63013
\(629\) 4.07019 + 12.5268i 0.162289 + 0.499475i
\(630\) 6.53048 + 4.74467i 0.260180 + 0.189032i
\(631\) 7.20016 5.23122i 0.286634 0.208252i −0.435172 0.900347i \(-0.643312\pi\)
0.721806 + 0.692096i \(0.243312\pi\)
\(632\) 8.34713 25.6898i 0.332031 1.02189i
\(633\) −6.16585 + 18.9765i −0.245071 + 0.754250i
\(634\) 5.71351 4.15111i 0.226912 0.164862i
\(635\) −13.7559 9.99428i −0.545888 0.396611i
\(636\) 6.14839 + 18.9228i 0.243799 + 0.750337i
\(637\) −1.19095 −0.0471871
\(638\) 18.9416 + 36.3886i 0.749906 + 1.44064i
\(639\) 3.07211 0.121531
\(640\) 5.97152 + 18.3785i 0.236045 + 0.726472i
\(641\) 4.99007 + 3.62549i 0.197096 + 0.143198i 0.681956 0.731393i \(-0.261130\pi\)
−0.484860 + 0.874592i \(0.661130\pi\)
\(642\) −4.15747 + 3.02058i −0.164082 + 0.119213i
\(643\) 1.34526 4.14029i 0.0530519 0.163277i −0.921020 0.389515i \(-0.872643\pi\)
0.974072 + 0.226238i \(0.0726427\pi\)
\(644\) 4.39731 13.5335i 0.173278 0.533296i
\(645\) −4.46147 + 3.24145i −0.175670 + 0.127632i
\(646\) 74.0508 + 53.8011i 2.91349 + 2.11677i
\(647\) 4.16967 + 12.8329i 0.163927 + 0.504514i 0.998956 0.0456916i \(-0.0145492\pi\)
−0.835029 + 0.550206i \(0.814549\pi\)
\(648\) 4.98884 0.195980
\(649\) 29.9771 5.01575i 1.17671 0.196885i
\(650\) −0.769020 −0.0301635
\(651\) 3.50310 + 10.7814i 0.137297 + 0.422558i
\(652\) 16.4021 + 11.9168i 0.642354 + 0.466697i
\(653\) −22.2060 + 16.1336i −0.868988 + 0.631357i −0.930315 0.366761i \(-0.880467\pi\)
0.0613270 + 0.998118i \(0.480467\pi\)
\(654\) −5.07922 + 15.6322i −0.198613 + 0.611269i
\(655\) 0.0133034 0.0409437i 0.000519808 0.00159980i
\(656\) −36.7632 + 26.7100i −1.43536 + 1.04285i
\(657\) 7.00018 + 5.08592i 0.273103 + 0.198421i
\(658\) −29.9285 92.1105i −1.16674 3.59084i
\(659\) −18.7768 −0.731441 −0.365721 0.930725i \(-0.619177\pi\)
−0.365721 + 0.930725i \(0.619177\pi\)
\(660\) −9.37178 + 9.53635i −0.364796 + 0.371202i
\(661\) −21.6525 −0.842184 −0.421092 0.907018i \(-0.638353\pi\)
−0.421092 + 0.907018i \(0.638353\pi\)
\(662\) −10.7174 32.9847i −0.416543 1.28199i
\(663\) 1.26665 + 0.920276i 0.0491927 + 0.0357406i
\(664\) −65.5674 + 47.6375i −2.54451 + 1.84869i
\(665\) 7.57103 23.3012i 0.293592 0.903583i
\(666\) 1.99919 6.15286i 0.0774669 0.238419i
\(667\) 4.37578 3.17919i 0.169431 0.123099i
\(668\) −18.8872 13.7224i −0.730769 0.530935i
\(669\) −6.22565 19.1606i −0.240698 0.740791i
\(670\) 37.5109 1.44917
\(671\) 21.3508 21.7258i 0.824240 0.838714i
\(672\) 1.02116 0.0393919
\(673\) 7.20076 + 22.1617i 0.277569 + 0.854269i 0.988528 + 0.151036i \(0.0482609\pi\)
−0.710959 + 0.703233i \(0.751739\pi\)
\(674\) −31.6883 23.0229i −1.22059 0.886808i
\(675\) −0.809017 + 0.587785i −0.0311391 + 0.0226239i
\(676\) −16.0728 + 49.4670i −0.618184 + 1.90258i
\(677\) 10.2843 31.6519i 0.395259 1.21648i −0.533501 0.845800i \(-0.679124\pi\)
0.928760 0.370683i \(-0.120876\pi\)
\(678\) 21.4463 15.5817i 0.823641 0.598410i
\(679\) −0.595859 0.432917i −0.0228670 0.0166138i
\(680\) −7.70818 23.7233i −0.295595 0.909749i
\(681\) 0.533937 0.0204605
\(682\) −27.7077 + 4.63603i −1.06098 + 0.177523i
\(683\) 16.9244 0.647593 0.323796 0.946127i \(-0.395041\pi\)
0.323796 + 0.946127i \(0.395041\pi\)
\(684\) −9.28603 28.5795i −0.355060 1.09276i
\(685\) 5.95645 + 4.32761i 0.227584 + 0.165350i
\(686\) 20.8758 15.1671i 0.797041 0.579084i
\(687\) −6.85803 + 21.1068i −0.261650 + 0.805276i
\(688\) −7.13905 + 21.9717i −0.272174 + 0.837664i
\(689\) 1.25029 0.908392i 0.0476324 0.0346070i
\(690\) 2.13372 + 1.55024i 0.0812295 + 0.0590167i
\(691\) −14.9668 46.0630i −0.569363 1.75232i −0.654617 0.755961i \(-0.727170\pi\)
0.0852532 0.996359i \(-0.472830\pi\)
\(692\) 64.7650 2.46200
\(693\) −5.03340 9.66962i −0.191203 0.367318i
\(694\) 72.8910 2.76690
\(695\) −4.09118 12.5914i −0.155187 0.477618i
\(696\) 20.3275 + 14.7688i 0.770511 + 0.559809i
\(697\) −43.8779 + 31.8791i −1.66199 + 1.20751i
\(698\) 24.0527 74.0267i 0.910409 2.80195i
\(699\) −1.41087 + 4.34221i −0.0533640 + 0.164237i
\(700\) −10.7199 + 7.78845i −0.405174 + 0.294376i
\(701\) 36.7424 + 26.6949i 1.38774 + 1.00825i 0.996109 + 0.0881330i \(0.0280900\pi\)
0.391634 + 0.920121i \(0.371910\pi\)
\(702\) −0.237640 0.731382i −0.00896916 0.0276042i
\(703\) −19.6361 −0.740591
\(704\) 3.73392 24.9803i 0.140727 0.941482i
\(705\) 11.9982 0.451878
\(706\) 0.912130 + 2.80725i 0.0343285 + 0.105652i
\(707\) 1.34372 + 0.976267i 0.0505357 + 0.0367163i
\(708\) 29.8883 21.7151i 1.12327 0.816103i
\(709\) −0.545405 + 1.67858i −0.0204831 + 0.0630406i −0.960776 0.277327i \(-0.910551\pi\)
0.940292 + 0.340368i \(0.110551\pi\)
\(710\) −2.33146 + 7.17549i −0.0874981 + 0.269291i
\(711\) −4.38039 + 3.18254i −0.164278 + 0.119355i
\(712\) −6.54317 4.75389i −0.245216 0.178160i
\(713\) 1.14458 + 3.52266i 0.0428649 + 0.131925i
\(714\) 40.3606 1.51046
\(715\) 0.929420 + 0.463418i 0.0347583 + 0.0173309i
\(716\) −33.4729 −1.25094
\(717\) −1.81100 5.57369i −0.0676331 0.208153i
\(718\) 23.1649 + 16.8303i 0.864506 + 0.628100i
\(719\) 2.66974 1.93968i 0.0995645 0.0723379i −0.536889 0.843653i \(-0.680401\pi\)
0.636454 + 0.771315i \(0.280401\pi\)
\(720\) −1.29455 + 3.98423i −0.0482452 + 0.148483i
\(721\) −6.50241 + 20.0124i −0.242163 + 0.745300i
\(722\) −72.6459 + 52.7803i −2.70360 + 1.96428i
\(723\) −8.05841 5.85477i −0.299695 0.217741i
\(724\) −8.05294 24.7844i −0.299285 0.921105i
\(725\) −5.03647 −0.187050
\(726\) 25.5434 8.79398i 0.948003 0.326375i
\(727\) 11.7838 0.437037 0.218519 0.975833i \(-0.429878\pi\)
0.218519 + 0.975833i \(0.429878\pi\)
\(728\) −1.58668 4.88331i −0.0588064 0.180987i
\(729\) −0.809017 0.587785i −0.0299636 0.0217698i
\(730\) −17.1916 + 12.4905i −0.636291 + 0.462293i
\(731\) −8.52064 + 26.2238i −0.315147 + 0.969924i
\(732\) 11.4415 35.2133i 0.422890 1.30152i
\(733\) −4.63654 + 3.36865i −0.171255 + 0.124424i −0.670111 0.742261i \(-0.733754\pi\)
0.498856 + 0.866685i \(0.333754\pi\)
\(734\) −31.7619 23.0764i −1.17235 0.851765i
\(735\) −1.17529 3.61718i −0.0433513 0.133422i
\(736\) 0.333646 0.0122983
\(737\) −45.3348 22.6044i −1.66993 0.832643i
\(738\) 26.6395 0.980614
\(739\) −6.50638 20.0246i −0.239341 0.736616i −0.996516 0.0834038i \(-0.973421\pi\)
0.757175 0.653212i \(-0.226579\pi\)
\(740\) 8.59160 + 6.24216i 0.315833 + 0.229466i
\(741\) −1.88834 + 1.37196i −0.0693700 + 0.0504003i
\(742\) 12.3110 37.8895i 0.451952 1.39097i
\(743\) 4.05686 12.4857i 0.148832 0.458058i −0.848652 0.528952i \(-0.822585\pi\)
0.997484 + 0.0708942i \(0.0225853\pi\)
\(744\) −13.9203 + 10.1137i −0.510343 + 0.370786i
\(745\) −4.75587 3.45534i −0.174242 0.126594i
\(746\) 0.244350 + 0.752032i 0.00894629 + 0.0275339i
\(747\) 16.2454 0.594389
\(748\) −9.88299 + 66.1183i −0.361358 + 2.41753i
\(749\) 6.87768 0.251305
\(750\) −0.758911 2.33569i −0.0277115 0.0852872i
\(751\) −20.7311 15.0621i −0.756490 0.549622i 0.141342 0.989961i \(-0.454858\pi\)
−0.897832 + 0.440339i \(0.854858\pi\)
\(752\) 40.6641 29.5442i 1.48287 1.07737i
\(753\) −5.21584 + 16.0527i −0.190076 + 0.584993i
\(754\) 1.19687 3.68358i 0.0435874 0.134148i
\(755\) 6.17135 4.48375i 0.224598 0.163180i
\(756\) −10.7199 7.78845i −0.389878 0.283263i
\(757\) 9.64039 + 29.6701i 0.350386 + 1.07838i 0.958637 + 0.284632i \(0.0918715\pi\)
−0.608251 + 0.793745i \(0.708129\pi\)
\(758\) 28.0400 1.01846
\(759\) −1.64458 3.15939i −0.0596945 0.114678i
\(760\) 37.1872 1.34892
\(761\) 3.51539 + 10.8193i 0.127433 + 0.392198i 0.994336 0.106278i \(-0.0338932\pi\)
−0.866904 + 0.498476i \(0.833893\pi\)
\(762\) 33.7830 + 24.5448i 1.22383 + 0.889165i
\(763\) 17.7968 12.9302i 0.644289 0.468103i
\(764\) 19.1465 58.9269i 0.692697 2.13190i
\(765\) −1.54508 + 4.75528i −0.0558627 + 0.171928i
\(766\) −56.3617 + 40.9491i −2.03643 + 1.47955i
\(767\) −2.32154 1.68670i −0.0838260 0.0609032i
\(768\) −9.95872 30.6498i −0.359354 1.10598i
\(769\) 10.3938 0.374811 0.187405 0.982283i \(-0.439992\pi\)
0.187405 + 0.982283i \(0.439992\pi\)
\(770\) 26.4051 4.41808i 0.951574 0.159217i
\(771\) 11.1436 0.401326
\(772\) 19.6230 + 60.3935i 0.706248 + 2.17361i
\(773\) −11.3544 8.24944i −0.408389 0.296712i 0.364560 0.931180i \(-0.381219\pi\)
−0.772949 + 0.634468i \(0.781219\pi\)