Properties

Label 273.2.r.b.68.9
Level $273$
Weight $2$
Character 273.68
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.r (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 68.9
Character \(\chi\) \(=\) 273.68
Dual form 273.2.r.b.269.24

$q$-expansion

\(f(q)\) \(=\) \(q-1.53974i q^{2} +(-1.04458 - 1.38161i) q^{3} -0.370785 q^{4} +(0.956175 - 1.65614i) q^{5} +(-2.12732 + 1.60838i) q^{6} +(-2.63109 - 0.278191i) q^{7} -2.50856i q^{8} +(-0.817709 + 2.88641i) q^{9} +O(q^{10})\) \(q-1.53974i q^{2} +(-1.04458 - 1.38161i) q^{3} -0.370785 q^{4} +(0.956175 - 1.65614i) q^{5} +(-2.12732 + 1.60838i) q^{6} +(-2.63109 - 0.278191i) q^{7} -2.50856i q^{8} +(-0.817709 + 2.88641i) q^{9} +(-2.55002 - 1.47226i) q^{10} +(1.99849 + 1.15383i) q^{11} +(0.387315 + 0.512282i) q^{12} +(-0.963713 - 3.47437i) q^{13} +(-0.428341 + 4.05118i) q^{14} +(-3.28695 + 0.408909i) q^{15} -4.60409 q^{16} +3.75390 q^{17} +(4.44430 + 1.25906i) q^{18} +(-4.18714 + 2.41745i) q^{19} +(-0.354536 + 0.614074i) q^{20} +(2.36402 + 3.92573i) q^{21} +(1.77659 - 3.07714i) q^{22} +0.202723i q^{23} +(-3.46586 + 2.62039i) q^{24} +(0.671459 + 1.16300i) q^{25} +(-5.34961 + 1.48386i) q^{26} +(4.84206 - 1.88532i) q^{27} +(0.975568 + 0.103149i) q^{28} +(-0.228216 + 0.131761i) q^{29} +(0.629612 + 5.06103i) q^{30} +(1.76906 - 1.02137i) q^{31} +2.07196i q^{32} +(-0.493435 - 3.96640i) q^{33} -5.78001i q^{34} +(-2.97650 + 4.09146i) q^{35} +(0.303195 - 1.07024i) q^{36} +4.51347 q^{37} +(3.72223 + 6.44709i) q^{38} +(-3.79356 + 4.96073i) q^{39} +(-4.15454 - 2.39862i) q^{40} +(-5.87191 - 10.1704i) q^{41} +(6.04459 - 3.63997i) q^{42} +(-2.00837 + 3.47860i) q^{43} +(-0.741009 - 0.427822i) q^{44} +(3.99843 + 4.11416i) q^{45} +0.312140 q^{46} +(4.81266 - 8.33577i) q^{47} +(4.80933 + 6.36107i) q^{48} +(6.84522 + 1.46389i) q^{49} +(1.79071 - 1.03387i) q^{50} +(-3.92124 - 5.18643i) q^{51} +(0.357331 + 1.28825i) q^{52} +(9.35130 - 5.39898i) q^{53} +(-2.90290 - 7.45549i) q^{54} +(3.82180 - 2.20652i) q^{55} +(-0.697860 + 6.60023i) q^{56} +(7.71378 + 3.25980i) q^{57} +(0.202876 + 0.351392i) q^{58} +3.90027 q^{59} +(1.21875 - 0.151617i) q^{60} +(9.39101 - 5.42190i) q^{61} +(-1.57263 - 2.72388i) q^{62} +(2.95444 - 7.36691i) q^{63} -6.01791 q^{64} +(-6.67554 - 1.72606i) q^{65} +(-6.10720 + 0.759759i) q^{66} +(-2.90358 + 5.02915i) q^{67} -1.39189 q^{68} +(0.280085 - 0.211760i) q^{69} +(6.29976 + 4.58303i) q^{70} +(-1.76608 - 1.01965i) q^{71} +(7.24073 + 2.05127i) q^{72} +(-4.51243 + 2.60525i) q^{73} -6.94955i q^{74} +(0.905425 - 2.14254i) q^{75} +(1.55253 - 0.896354i) q^{76} +(-4.93720 - 3.59178i) q^{77} +(7.63822 + 5.84108i) q^{78} +(2.21921 - 3.84378i) q^{79} +(-4.40231 + 7.62503i) q^{80} +(-7.66270 - 4.72049i) q^{81} +(-15.6598 + 9.04119i) q^{82} -4.19536 q^{83} +(-0.876545 - 1.45560i) q^{84} +(3.58938 - 6.21699i) q^{85} +(5.35612 + 3.09236i) q^{86} +(0.420432 + 0.177672i) q^{87} +(2.89444 - 5.01332i) q^{88} +11.8966 q^{89} +(6.33471 - 6.15653i) q^{90} +(1.56907 + 9.40946i) q^{91} -0.0751668i q^{92} +(-3.25905 - 1.37726i) q^{93} +(-12.8349 - 7.41022i) q^{94} +9.24602i q^{95} +(2.86265 - 2.16433i) q^{96} +(0.681039 + 0.393198i) q^{97} +(2.25400 - 10.5398i) q^{98} +(-4.96459 + 4.82495i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9} - 6 q^{10} + 6 q^{12} + 12 q^{13} - 9 q^{15} + 32 q^{16} + 2 q^{18} - 36 q^{19} + 10 q^{21} + 10 q^{22} - 18 q^{24} - 24 q^{25} - 14 q^{28} + 8 q^{30} - 24 q^{31} - 45 q^{33} + 33 q^{39} + 90 q^{40} + 3 q^{42} - 20 q^{43} - 6 q^{48} - 6 q^{49} - 10 q^{51} - 48 q^{52} - 18 q^{55} + 4 q^{57} + 30 q^{58} + 55 q^{60} - 18 q^{61} + 31 q^{63} - 84 q^{64} + 75 q^{66} + 44 q^{67} + 33 q^{69} + 20 q^{70} + 17 q^{72} + 84 q^{73} - 18 q^{76} - 71 q^{78} + 20 q^{79} + 16 q^{81} - 18 q^{82} - 135 q^{84} - 2 q^{85} - 46 q^{88} - 10 q^{91} - 56 q^{93} + 36 q^{94} + 30 q^{96} - 24 q^{97} + 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.53974i 1.08876i −0.838840 0.544379i \(-0.816765\pi\)
0.838840 0.544379i \(-0.183235\pi\)
\(3\) −1.04458 1.38161i −0.603088 0.797675i
\(4\) −0.370785 −0.185393
\(5\) 0.956175 1.65614i 0.427614 0.740650i −0.569046 0.822306i \(-0.692687\pi\)
0.996661 + 0.0816556i \(0.0260208\pi\)
\(6\) −2.12732 + 1.60838i −0.868474 + 0.656616i
\(7\) −2.63109 0.278191i −0.994457 0.105146i
\(8\) 2.50856i 0.886910i
\(9\) −0.817709 + 2.88641i −0.272570 + 0.962136i
\(10\) −2.55002 1.47226i −0.806388 0.465568i
\(11\) 1.99849 + 1.15383i 0.602566 + 0.347892i 0.770050 0.637983i \(-0.220231\pi\)
−0.167484 + 0.985875i \(0.553564\pi\)
\(12\) 0.387315 + 0.512282i 0.111808 + 0.147883i
\(13\) −0.963713 3.47437i −0.267286 0.963617i
\(14\) −0.428341 + 4.05118i −0.114479 + 1.08272i
\(15\) −3.28695 + 0.408909i −0.848687 + 0.105580i
\(16\) −4.60409 −1.15102
\(17\) 3.75390 0.910453 0.455227 0.890376i \(-0.349558\pi\)
0.455227 + 0.890376i \(0.349558\pi\)
\(18\) 4.44430 + 1.25906i 1.04753 + 0.296762i
\(19\) −4.18714 + 2.41745i −0.960597 + 0.554601i −0.896357 0.443334i \(-0.853796\pi\)
−0.0642400 + 0.997934i \(0.520462\pi\)
\(20\) −0.354536 + 0.614074i −0.0792766 + 0.137311i
\(21\) 2.36402 + 3.92573i 0.515872 + 0.856666i
\(22\) 1.77659 3.07714i 0.378770 0.656048i
\(23\) 0.202723i 0.0422707i 0.999777 + 0.0211353i \(0.00672809\pi\)
−0.999777 + 0.0211353i \(0.993272\pi\)
\(24\) −3.46586 + 2.62039i −0.707465 + 0.534885i
\(25\) 0.671459 + 1.16300i 0.134292 + 0.232600i
\(26\) −5.34961 + 1.48386i −1.04915 + 0.291009i
\(27\) 4.84206 1.88532i 0.931855 0.362831i
\(28\) 0.975568 + 0.103149i 0.184365 + 0.0194934i
\(29\) −0.228216 + 0.131761i −0.0423786 + 0.0244673i −0.521040 0.853532i \(-0.674456\pi\)
0.478661 + 0.878000i \(0.341122\pi\)
\(30\) 0.629612 + 5.06103i 0.114951 + 0.924014i
\(31\) 1.76906 1.02137i 0.317732 0.183443i −0.332649 0.943051i \(-0.607942\pi\)
0.650381 + 0.759608i \(0.274609\pi\)
\(32\) 2.07196i 0.366274i
\(33\) −0.493435 3.96640i −0.0858960 0.690461i
\(34\) 5.78001i 0.991263i
\(35\) −2.97650 + 4.09146i −0.503121 + 0.691582i
\(36\) 0.303195 1.07024i 0.0505324 0.178373i
\(37\) 4.51347 0.742010 0.371005 0.928631i \(-0.379013\pi\)
0.371005 + 0.928631i \(0.379013\pi\)
\(38\) 3.72223 + 6.44709i 0.603826 + 1.04586i
\(39\) −3.79356 + 4.96073i −0.607456 + 0.794353i
\(40\) −4.15454 2.39862i −0.656890 0.379255i
\(41\) −5.87191 10.1704i −0.917038 1.58836i −0.803889 0.594779i \(-0.797240\pi\)
−0.113149 0.993578i \(-0.536094\pi\)
\(42\) 6.04459 3.63997i 0.932701 0.561660i
\(43\) −2.00837 + 3.47860i −0.306273 + 0.530481i −0.977544 0.210731i \(-0.932415\pi\)
0.671271 + 0.741212i \(0.265749\pi\)
\(44\) −0.741009 0.427822i −0.111711 0.0644966i
\(45\) 3.99843 + 4.11416i 0.596051 + 0.613302i
\(46\) 0.312140 0.0460225
\(47\) 4.81266 8.33577i 0.701999 1.21590i −0.265765 0.964038i \(-0.585625\pi\)
0.967764 0.251860i \(-0.0810421\pi\)
\(48\) 4.80933 + 6.36107i 0.694168 + 0.918141i
\(49\) 6.84522 + 1.46389i 0.977888 + 0.209127i
\(50\) 1.79071 1.03387i 0.253245 0.146211i
\(51\) −3.92124 5.18643i −0.549084 0.726246i
\(52\) 0.357331 + 1.28825i 0.0495528 + 0.178648i
\(53\) 9.35130 5.39898i 1.28450 0.741606i 0.306832 0.951764i \(-0.400731\pi\)
0.977668 + 0.210157i \(0.0673976\pi\)
\(54\) −2.90290 7.45549i −0.395035 1.01456i
\(55\) 3.82180 2.20652i 0.515332 0.297527i
\(56\) −0.697860 + 6.60023i −0.0932554 + 0.881993i
\(57\) 7.71378 + 3.25980i 1.02172 + 0.431771i
\(58\) 0.202876 + 0.351392i 0.0266390 + 0.0461401i
\(59\) 3.90027 0.507772 0.253886 0.967234i \(-0.418291\pi\)
0.253886 + 0.967234i \(0.418291\pi\)
\(60\) 1.21875 0.151617i 0.157340 0.0195737i
\(61\) 9.39101 5.42190i 1.20240 0.694203i 0.241308 0.970449i \(-0.422424\pi\)
0.961087 + 0.276245i \(0.0890902\pi\)
\(62\) −1.57263 2.72388i −0.199725 0.345933i
\(63\) 2.95444 7.36691i 0.372224 0.928143i
\(64\) −6.01791 −0.752238
\(65\) −6.67554 1.72606i −0.827998 0.214091i
\(66\) −6.10720 + 0.759759i −0.751744 + 0.0935199i
\(67\) −2.90358 + 5.02915i −0.354729 + 0.614408i −0.987072 0.160280i \(-0.948760\pi\)
0.632343 + 0.774689i \(0.282093\pi\)
\(68\) −1.39189 −0.168791
\(69\) 0.280085 0.211760i 0.0337183 0.0254929i
\(70\) 6.29976 + 4.58303i 0.752965 + 0.547776i
\(71\) −1.76608 1.01965i −0.209595 0.121010i 0.391528 0.920166i \(-0.371947\pi\)
−0.601123 + 0.799156i \(0.705280\pi\)
\(72\) 7.24073 + 2.05127i 0.853328 + 0.241745i
\(73\) −4.51243 + 2.60525i −0.528140 + 0.304922i −0.740259 0.672322i \(-0.765297\pi\)
0.212119 + 0.977244i \(0.431964\pi\)
\(74\) 6.94955i 0.807869i
\(75\) 0.905425 2.14254i 0.104549 0.247399i
\(76\) 1.55253 0.896354i 0.178088 0.102819i
\(77\) −4.93720 3.59178i −0.562646 0.409321i
\(78\) 7.63822 + 5.84108i 0.864858 + 0.661373i
\(79\) 2.21921 3.84378i 0.249680 0.432459i −0.713757 0.700394i \(-0.753008\pi\)
0.963437 + 0.267935i \(0.0863412\pi\)
\(80\) −4.40231 + 7.62503i −0.492194 + 0.852505i
\(81\) −7.66270 4.72049i −0.851411 0.524498i
\(82\) −15.6598 + 9.04119i −1.72934 + 0.998432i
\(83\) −4.19536 −0.460501 −0.230250 0.973131i \(-0.573955\pi\)
−0.230250 + 0.973131i \(0.573955\pi\)
\(84\) −0.876545 1.45560i −0.0956389 0.158819i
\(85\) 3.58938 6.21699i 0.389323 0.674327i
\(86\) 5.35612 + 3.09236i 0.577565 + 0.333457i
\(87\) 0.420432 + 0.177672i 0.0450750 + 0.0190484i
\(88\) 2.89444 5.01332i 0.308549 0.534422i
\(89\) 11.8966 1.26104 0.630520 0.776173i \(-0.282842\pi\)
0.630520 + 0.776173i \(0.282842\pi\)
\(90\) 6.33471 6.15653i 0.667737 0.648955i
\(91\) 1.56907 + 9.40946i 0.164483 + 0.986380i
\(92\) 0.0751668i 0.00783668i
\(93\) −3.25905 1.37726i −0.337948 0.142815i
\(94\) −12.8349 7.41022i −1.32382 0.764306i
\(95\) 9.24602i 0.948621i
\(96\) 2.86265 2.16433i 0.292168 0.220896i
\(97\) 0.681039 + 0.393198i 0.0691490 + 0.0399232i 0.534176 0.845373i \(-0.320622\pi\)
−0.465027 + 0.885297i \(0.653955\pi\)
\(98\) 2.25400 10.5398i 0.227689 1.06468i
\(99\) −4.96459 + 4.82495i −0.498960 + 0.484926i
\(100\) −0.248967 0.431224i −0.0248967 0.0431224i
\(101\) −6.98821 + 12.1039i −0.695352 + 1.20439i 0.274709 + 0.961527i \(0.411418\pi\)
−0.970062 + 0.242858i \(0.921915\pi\)
\(102\) −7.98573 + 6.03767i −0.790705 + 0.597819i
\(103\) −3.94047 2.27503i −0.388266 0.224165i 0.293143 0.956069i \(-0.405299\pi\)
−0.681408 + 0.731903i \(0.738632\pi\)
\(104\) −8.71567 + 2.41753i −0.854642 + 0.237058i
\(105\) 8.76200 0.161473i 0.855084 0.0157582i
\(106\) −8.31299 14.3985i −0.807429 1.39851i
\(107\) 13.0178i 1.25848i 0.777212 + 0.629239i \(0.216633\pi\)
−0.777212 + 0.629239i \(0.783367\pi\)
\(108\) −1.79537 + 0.699050i −0.172759 + 0.0672661i
\(109\) 9.50574 + 16.4644i 0.910485 + 1.57701i 0.813380 + 0.581732i \(0.197625\pi\)
0.0971049 + 0.995274i \(0.469042\pi\)
\(110\) −3.39746 5.88457i −0.323935 0.561071i
\(111\) −4.71468 6.23587i −0.447497 0.591882i
\(112\) 12.1138 + 1.28082i 1.14464 + 0.121026i
\(113\) −1.86352 1.07591i −0.175306 0.101213i 0.409780 0.912185i \(-0.365606\pi\)
−0.585085 + 0.810972i \(0.698939\pi\)
\(114\) 5.01922 11.8772i 0.470093 1.11240i
\(115\) 0.335739 + 0.193839i 0.0313078 + 0.0180756i
\(116\) 0.0846191 0.0488549i 0.00785669 0.00453606i
\(117\) 10.8165 + 0.0593584i 0.999985 + 0.00548768i
\(118\) 6.00539i 0.552841i
\(119\) −9.87682 1.04430i −0.905407 0.0957310i
\(120\) 1.02577 + 8.24551i 0.0936398 + 0.752709i
\(121\) −2.83737 4.91447i −0.257943 0.446770i
\(122\) −8.34829 14.4597i −0.755819 1.30912i
\(123\) −7.91795 + 18.7365i −0.713937 + 1.68942i
\(124\) −0.655941 + 0.378707i −0.0589052 + 0.0340089i
\(125\) 12.1299 1.08493
\(126\) −11.3431 4.54905i −1.01052 0.405262i
\(127\) 7.97146 + 13.8070i 0.707353 + 1.22517i 0.965836 + 0.259155i \(0.0834441\pi\)
−0.258483 + 0.966016i \(0.583223\pi\)
\(128\) 13.4099i 1.18528i
\(129\) 6.90397 0.858881i 0.607861 0.0756202i
\(130\) −2.65768 + 10.2786i −0.233094 + 0.901489i
\(131\) −10.9573 + 18.9785i −0.957341 + 1.65816i −0.228423 + 0.973562i \(0.573357\pi\)
−0.728918 + 0.684601i \(0.759976\pi\)
\(132\) 0.182958 + 1.47068i 0.0159245 + 0.128006i
\(133\) 11.6892 5.19569i 1.01359 0.450523i
\(134\) 7.74356 + 4.47075i 0.668942 + 0.386214i
\(135\) 1.50749 9.82185i 0.129744 0.845330i
\(136\) 9.41687i 0.807490i
\(137\) 5.51082i 0.470821i 0.971896 + 0.235411i \(0.0756435\pi\)
−0.971896 + 0.235411i \(0.924356\pi\)
\(138\) −0.326055 0.431257i −0.0277556 0.0367110i
\(139\) 6.44679 + 3.72206i 0.546810 + 0.315701i 0.747834 0.663886i \(-0.231094\pi\)
−0.201025 + 0.979586i \(0.564427\pi\)
\(140\) 1.10364 1.51705i 0.0932749 0.128214i
\(141\) −16.5440 + 2.05814i −1.39326 + 0.173327i
\(142\) −1.56998 + 2.71929i −0.131750 + 0.228198i
\(143\) 2.08285 8.05544i 0.174177 0.673630i
\(144\) 3.76481 13.2893i 0.313734 1.10744i
\(145\) 0.503945i 0.0418503i
\(146\) 4.01140 + 6.94795i 0.331986 + 0.575016i
\(147\) −5.12784 10.9866i −0.422937 0.906159i
\(148\) −1.67353 −0.137563
\(149\) 8.96562 5.17630i 0.734492 0.424059i −0.0855711 0.996332i \(-0.527271\pi\)
0.820063 + 0.572273i \(0.193938\pi\)
\(150\) −3.29895 1.39412i −0.269358 0.113829i
\(151\) 1.59223 + 2.75782i 0.129574 + 0.224429i 0.923512 0.383571i \(-0.125306\pi\)
−0.793938 + 0.607999i \(0.791972\pi\)
\(152\) 6.06431 + 10.5037i 0.491881 + 0.851963i
\(153\) −3.06960 + 10.8353i −0.248162 + 0.875980i
\(154\) −5.53039 + 7.60198i −0.445651 + 0.612585i
\(155\) 3.90642i 0.313771i
\(156\) 1.40660 1.83937i 0.112618 0.147267i
\(157\) −16.5406 + 9.54971i −1.32008 + 0.762150i −0.983741 0.179590i \(-0.942523\pi\)
−0.336341 + 0.941740i \(0.609189\pi\)
\(158\) −5.91840 3.41699i −0.470843 0.271841i
\(159\) −17.2275 7.28022i −1.36623 0.577359i
\(160\) 3.43146 + 1.98116i 0.271281 + 0.156624i
\(161\) 0.0563958 0.533382i 0.00444461 0.0420364i
\(162\) −7.26830 + 11.7985i −0.571052 + 0.926980i
\(163\) −11.0229 19.0922i −0.863377 1.49541i −0.868650 0.495427i \(-0.835012\pi\)
0.00527288 0.999986i \(-0.498322\pi\)
\(164\) 2.17722 + 3.77105i 0.170012 + 0.294470i
\(165\) −7.04073 2.97537i −0.548120 0.231632i
\(166\) 6.45975i 0.501374i
\(167\) −9.61248 16.6493i −0.743836 1.28836i −0.950736 0.310000i \(-0.899671\pi\)
0.206900 0.978362i \(-0.433662\pi\)
\(168\) 9.84794 5.93029i 0.759785 0.457532i
\(169\) −11.1425 + 6.69659i −0.857117 + 0.515122i
\(170\) −9.57252 5.52670i −0.734179 0.423878i
\(171\) −3.55388 14.0626i −0.271772 1.07539i
\(172\) 0.744674 1.28981i 0.0567808 0.0983473i
\(173\) −1.89895 3.28907i −0.144374 0.250063i 0.784765 0.619793i \(-0.212784\pi\)
−0.929139 + 0.369730i \(0.879450\pi\)
\(174\) 0.273568 0.647354i 0.0207391 0.0490757i
\(175\) −1.44313 3.24675i −0.109090 0.245431i
\(176\) −9.20120 5.31232i −0.693567 0.400431i
\(177\) −4.07414 5.38867i −0.306231 0.405037i
\(178\) 18.3177i 1.37297i
\(179\) 17.4128 + 10.0533i 1.30150 + 0.751420i 0.980661 0.195715i \(-0.0627027\pi\)
0.320836 + 0.947135i \(0.396036\pi\)
\(180\) −1.48256 1.52547i −0.110504 0.113702i
\(181\) 16.8581i 1.25305i 0.779399 + 0.626527i \(0.215524\pi\)
−0.779399 + 0.626527i \(0.784476\pi\)
\(182\) 14.4881 2.41595i 1.07393 0.179082i
\(183\) −17.3006 7.31113i −1.27890 0.540455i
\(184\) 0.508543 0.0374903
\(185\) 4.31567 7.47495i 0.317294 0.549570i
\(186\) −2.12061 + 5.01808i −0.155491 + 0.367943i
\(187\) 7.50211 + 4.33134i 0.548608 + 0.316739i
\(188\) −1.78446 + 3.09078i −0.130145 + 0.225418i
\(189\) −13.2644 + 3.61343i −0.964840 + 0.262838i
\(190\) 14.2364 1.03282
\(191\) 8.32437 4.80608i 0.602330 0.347756i −0.167628 0.985850i \(-0.553611\pi\)
0.769958 + 0.638095i \(0.220277\pi\)
\(192\) 6.28618 + 8.31442i 0.453666 + 0.600042i
\(193\) 11.2318 19.4540i 0.808480 1.40033i −0.105437 0.994426i \(-0.533624\pi\)
0.913917 0.405902i \(-0.133043\pi\)
\(194\) 0.605421 1.04862i 0.0434667 0.0752865i
\(195\) 4.58838 + 11.0260i 0.328581 + 0.789589i
\(196\) −2.53811 0.542789i −0.181293 0.0387706i
\(197\) 1.98684 1.14711i 0.141557 0.0817279i −0.427549 0.903992i \(-0.640623\pi\)
0.569106 + 0.822264i \(0.307290\pi\)
\(198\) 7.42915 + 7.64416i 0.527966 + 0.543247i
\(199\) 19.4067i 1.37571i 0.725849 + 0.687854i \(0.241447\pi\)
−0.725849 + 0.687854i \(0.758553\pi\)
\(200\) 2.91746 1.68439i 0.206295 0.119105i
\(201\) 9.98136 1.24172i 0.704031 0.0875841i
\(202\) 18.6368 + 10.7600i 1.31128 + 0.757070i
\(203\) 0.637110 0.283185i 0.0447164 0.0198757i
\(204\) 1.45394 + 1.92305i 0.101796 + 0.134641i
\(205\) −22.4583 −1.56856
\(206\) −3.50294 + 6.06728i −0.244062 + 0.422727i
\(207\) −0.585142 0.165769i −0.0406702 0.0115217i
\(208\) 4.43702 + 15.9963i 0.307652 + 1.10914i
\(209\) −11.1573 −0.771764
\(210\) −0.248626 13.4912i −0.0171568 0.930979i
\(211\) −8.26159 14.3095i −0.568751 0.985106i −0.996690 0.0812981i \(-0.974093\pi\)
0.427939 0.903808i \(-0.359240\pi\)
\(212\) −3.46732 + 2.00186i −0.238137 + 0.137488i
\(213\) 0.436052 + 3.50514i 0.0298778 + 0.240168i
\(214\) 20.0440 1.37018
\(215\) 3.84070 + 6.65229i 0.261934 + 0.453683i
\(216\) −4.72945 12.1466i −0.321798 0.826471i
\(217\) −4.93868 + 2.19516i −0.335259 + 0.149017i
\(218\) 25.3509 14.6363i 1.71698 0.991297i
\(219\) 8.31304 + 3.51304i 0.561743 + 0.237389i
\(220\) −1.41707 + 0.818145i −0.0955387 + 0.0551593i
\(221\) −3.61768 13.0424i −0.243351 0.877329i
\(222\) −9.60159 + 7.25935i −0.644416 + 0.487216i
\(223\) 10.0146 5.78196i 0.670631 0.387189i −0.125685 0.992070i \(-0.540113\pi\)
0.796316 + 0.604881i \(0.206780\pi\)
\(224\) 0.576401 5.45150i 0.0385124 0.364244i
\(225\) −3.90595 + 0.987107i −0.260397 + 0.0658072i
\(226\) −1.65661 + 2.86933i −0.110196 + 0.190865i
\(227\) −1.10696 −0.0734718 −0.0367359 0.999325i \(-0.511696\pi\)
−0.0367359 + 0.999325i \(0.511696\pi\)
\(228\) −2.86016 1.20868i −0.189419 0.0800471i
\(229\) 6.53576 + 3.77342i 0.431895 + 0.249355i 0.700154 0.713992i \(-0.253115\pi\)
−0.268259 + 0.963347i \(0.586448\pi\)
\(230\) 0.298460 0.516949i 0.0196799 0.0340866i
\(231\) 0.194851 + 10.5732i 0.0128203 + 0.695665i
\(232\) 0.330529 + 0.572493i 0.0217003 + 0.0375860i
\(233\) 2.96925 + 1.71430i 0.194522 + 0.112307i 0.594098 0.804393i \(-0.297509\pi\)
−0.399576 + 0.916700i \(0.630843\pi\)
\(234\) 0.0913962 16.6545i 0.00597476 1.08874i
\(235\) −9.20349 15.9409i −0.600370 1.03987i
\(236\) −1.44616 −0.0941373
\(237\) −7.62875 + 0.949045i −0.495540 + 0.0616471i
\(238\) −1.60795 + 15.2077i −0.104228 + 0.985768i
\(239\) 9.51846i 0.615698i 0.951435 + 0.307849i \(0.0996092\pi\)
−0.951435 + 0.307849i \(0.900391\pi\)
\(240\) 15.1334 1.88265i 0.976857 0.121525i
\(241\) 8.76146i 0.564375i 0.959359 + 0.282188i \(0.0910601\pi\)
−0.959359 + 0.282188i \(0.908940\pi\)
\(242\) −7.56698 + 4.36880i −0.486424 + 0.280837i
\(243\) 1.48241 + 15.5178i 0.0950968 + 0.995468i
\(244\) −3.48205 + 2.01036i −0.222915 + 0.128700i
\(245\) 8.96964 9.93693i 0.573049 0.634847i
\(246\) 28.8493 + 12.1915i 1.83937 + 0.777304i
\(247\) 12.4343 + 12.2180i 0.791177 + 0.777411i
\(248\) −2.56216 4.43779i −0.162697 0.281800i
\(249\) 4.38239 + 5.79637i 0.277722 + 0.367330i
\(250\) 18.6768i 1.18122i
\(251\) 9.70748 16.8139i 0.612731 1.06128i −0.378047 0.925786i \(-0.623404\pi\)
0.990778 0.135495i \(-0.0432624\pi\)
\(252\) −1.09546 + 2.73154i −0.0690076 + 0.172071i
\(253\) −0.233907 + 0.405139i −0.0147056 + 0.0254709i
\(254\) 21.2591 12.2739i 1.33391 0.770136i
\(255\) −12.3389 + 1.53500i −0.772690 + 0.0961255i
\(256\) 8.61189 0.538243
\(257\) −15.1775 −0.946747 −0.473374 0.880862i \(-0.656964\pi\)
−0.473374 + 0.880862i \(0.656964\pi\)
\(258\) −1.32245 10.6303i −0.0823321 0.661813i
\(259\) −11.8753 1.25561i −0.737897 0.0780197i
\(260\) 2.47519 + 0.639998i 0.153505 + 0.0396910i
\(261\) −0.193700 0.766466i −0.0119898 0.0474431i
\(262\) 29.2219 + 16.8713i 1.80534 + 1.04231i
\(263\) −1.51461 0.874458i −0.0933946 0.0539214i 0.452575 0.891726i \(-0.350505\pi\)
−0.545970 + 0.837805i \(0.683839\pi\)
\(264\) −9.94994 + 1.23781i −0.612377 + 0.0761820i
\(265\) 20.6495i 1.26849i
\(266\) −7.99998 17.9983i −0.490510 1.10355i
\(267\) −12.4270 16.4365i −0.760518 1.00590i
\(268\) 1.07661 1.86473i 0.0657641 0.113907i
\(269\) −12.6504 −0.771310 −0.385655 0.922643i \(-0.626025\pi\)
−0.385655 + 0.922643i \(0.626025\pi\)
\(270\) −15.1230 2.32114i −0.920359 0.141260i
\(271\) 10.7538i 0.653244i 0.945155 + 0.326622i \(0.105910\pi\)
−0.945155 + 0.326622i \(0.894090\pi\)
\(272\) −17.2833 −1.04795
\(273\) 11.3612 11.9968i 0.687612 0.726078i
\(274\) 8.48521 0.512610
\(275\) 3.09899i 0.186876i
\(276\) −0.103851 + 0.0785176i −0.00625112 + 0.00472621i
\(277\) 5.26895 0.316580 0.158290 0.987393i \(-0.449402\pi\)
0.158290 + 0.987393i \(0.449402\pi\)
\(278\) 5.73098 9.92635i 0.343721 0.595343i
\(279\) 1.50150 + 5.94140i 0.0898927 + 0.355702i
\(280\) 10.2637 + 7.46673i 0.613371 + 0.446223i
\(281\) 20.3932i 1.21655i −0.793725 0.608277i \(-0.791861\pi\)
0.793725 0.608277i \(-0.208139\pi\)
\(282\) 3.16899 + 25.4734i 0.188711 + 1.51692i
\(283\) 0.739938 + 0.427203i 0.0439848 + 0.0253946i 0.521831 0.853049i \(-0.325249\pi\)
−0.477846 + 0.878443i \(0.658582\pi\)
\(284\) 0.654836 + 0.378070i 0.0388574 + 0.0224343i
\(285\) 12.7744 9.65819i 0.756691 0.572102i
\(286\) −12.4032 3.20705i −0.733419 0.189637i
\(287\) 12.6202 + 28.3928i 0.744945 + 1.67598i
\(288\) −5.98052 1.69426i −0.352406 0.0998353i
\(289\) −2.90827 −0.171075
\(290\) 0.775941 0.0455648
\(291\) −0.168151 1.35166i −0.00985721 0.0792356i
\(292\) 1.67314 0.965990i 0.0979133 0.0565303i
\(293\) −14.6836 + 25.4328i −0.857828 + 1.48580i 0.0161693 + 0.999869i \(0.494853\pi\)
−0.873997 + 0.485932i \(0.838480\pi\)
\(294\) −16.9164 + 7.89552i −0.986587 + 0.460476i
\(295\) 3.72934 6.45941i 0.217131 0.376082i
\(296\) 11.3223i 0.658096i
\(297\) 11.8521 + 1.81911i 0.687730 + 0.105555i
\(298\) −7.97014 13.8047i −0.461698 0.799684i
\(299\) 0.704336 0.195367i 0.0407328 0.0112984i
\(300\) −0.335718 + 0.794423i −0.0193827 + 0.0458660i
\(301\) 6.25190 8.59377i 0.360354 0.495337i
\(302\) 4.24632 2.45161i 0.244348 0.141075i
\(303\) 24.0227 2.98851i 1.38007 0.171686i
\(304\) 19.2780 11.1301i 1.10567 0.638358i
\(305\) 20.7371i 1.18741i
\(306\) 16.6835 + 4.72637i 0.953730 + 0.270188i
\(307\) 11.3469i 0.647601i 0.946125 + 0.323801i \(0.104961\pi\)
−0.946125 + 0.323801i \(0.895039\pi\)
\(308\) 1.83064 + 1.33178i 0.104310 + 0.0758851i
\(309\) 0.972918 + 7.82065i 0.0553474 + 0.444901i
\(310\) −6.01485 −0.341621
\(311\) 6.43447 + 11.1448i 0.364865 + 0.631965i 0.988755 0.149548i \(-0.0477818\pi\)
−0.623889 + 0.781513i \(0.714448\pi\)
\(312\) 12.4443 + 9.51638i 0.704520 + 0.538759i
\(313\) 22.4169 + 12.9424i 1.26708 + 0.731548i 0.974434 0.224673i \(-0.0721315\pi\)
0.292644 + 0.956221i \(0.405465\pi\)
\(314\) 14.7040 + 25.4681i 0.829796 + 1.43725i
\(315\) −9.37570 11.9370i −0.528261 0.672575i
\(316\) −0.822849 + 1.42522i −0.0462889 + 0.0801747i
\(317\) 25.8499 + 14.9244i 1.45187 + 0.838240i 0.998588 0.0531246i \(-0.0169181\pi\)
0.453287 + 0.891365i \(0.350251\pi\)
\(318\) −11.2096 + 26.5257i −0.628604 + 1.48749i
\(319\) −0.608115 −0.0340479
\(320\) −5.75417 + 9.96652i −0.321668 + 0.557145i
\(321\) 17.9855 13.5981i 1.00386 0.758973i
\(322\) −0.821267 0.0868347i −0.0457674 0.00483911i
\(323\) −15.7181 + 9.07485i −0.874579 + 0.504938i
\(324\) 2.84122 + 1.75029i 0.157845 + 0.0972382i
\(325\) 3.39360 3.45370i 0.188243 0.191577i
\(326\) −29.3969 + 16.9723i −1.62814 + 0.940008i
\(327\) 12.8180 30.3317i 0.708836 1.67734i
\(328\) −25.5132 + 14.7300i −1.40873 + 0.813330i
\(329\) −14.9815 + 20.5933i −0.825955 + 1.13534i
\(330\) −4.58128 + 10.8409i −0.252191 + 0.596770i
\(331\) −9.01348 15.6118i −0.495426 0.858103i 0.504560 0.863376i \(-0.331655\pi\)
−0.999986 + 0.00527377i \(0.998321\pi\)
\(332\) 1.55558 0.0853735
\(333\) −3.69071 + 13.0277i −0.202249 + 0.713914i
\(334\) −25.6355 + 14.8007i −1.40271 + 0.809857i
\(335\) 5.55266 + 9.61749i 0.303374 + 0.525460i
\(336\) −10.8842 18.0744i −0.593780 0.986041i
\(337\) 3.48637 0.189915 0.0949574 0.995481i \(-0.469729\pi\)
0.0949574 + 0.995481i \(0.469729\pi\)
\(338\) 10.3110 + 17.1565i 0.560843 + 0.933192i
\(339\) 0.460112 + 3.69854i 0.0249899 + 0.200877i
\(340\) −1.33089 + 2.30517i −0.0721776 + 0.125015i
\(341\) 4.71391 0.255273
\(342\) −21.6526 + 5.47203i −1.17084 + 0.295893i
\(343\) −17.6031 5.75590i −0.950479 0.310789i
\(344\) 8.72627 + 5.03811i 0.470489 + 0.271637i
\(345\) −0.0828953 0.666341i −0.00446293 0.0358746i
\(346\) −5.06430 + 2.92388i −0.272258 + 0.157188i
\(347\) 23.9360i 1.28495i −0.766306 0.642476i \(-0.777907\pi\)
0.766306 0.642476i \(-0.222093\pi\)
\(348\) −0.155890 0.0658781i −0.00835658 0.00353144i
\(349\) −5.13216 + 2.96305i −0.274718 + 0.158609i −0.631030 0.775759i \(-0.717367\pi\)
0.356312 + 0.934367i \(0.384034\pi\)
\(350\) −4.99913 + 2.22204i −0.267215 + 0.118773i
\(351\) −11.2167 15.0062i −0.598702 0.800972i
\(352\) −2.39068 + 4.14078i −0.127424 + 0.220704i
\(353\) −4.74719 + 8.22237i −0.252667 + 0.437632i −0.964259 0.264960i \(-0.914641\pi\)
0.711592 + 0.702593i \(0.247974\pi\)
\(354\) −8.29713 + 6.27310i −0.440987 + 0.333412i
\(355\) −3.37736 + 1.94992i −0.179252 + 0.103491i
\(356\) −4.41110 −0.233788
\(357\) 8.87430 + 14.7368i 0.469678 + 0.779954i
\(358\) 15.4794 26.8112i 0.818114 1.41701i
\(359\) −31.0183 17.9084i −1.63708 0.945171i −0.981830 0.189764i \(-0.939228\pi\)
−0.655255 0.755408i \(-0.727439\pi\)
\(360\) 10.3206 10.0303i 0.543944 0.528644i
\(361\) 2.18812 3.78993i 0.115164 0.199470i
\(362\) 25.9571 1.36427
\(363\) −3.82604 + 9.05370i −0.200815 + 0.475196i
\(364\) −0.581788 3.48889i −0.0304940 0.182868i
\(365\) 9.96431i 0.521556i
\(366\) −11.2572 + 26.6384i −0.588424 + 1.39241i
\(367\) 4.83861 + 2.79357i 0.252573 + 0.145823i 0.620942 0.783857i \(-0.286750\pi\)
−0.368369 + 0.929680i \(0.620084\pi\)
\(368\) 0.933355i 0.0486545i
\(369\) 34.1576 8.63226i 1.77817 0.449377i
\(370\) −11.5095 6.64499i −0.598348 0.345456i
\(371\) −26.1060 + 11.6037i −1.35536 + 0.602435i
\(372\) 1.20841 + 0.510666i 0.0626531 + 0.0264768i
\(373\) −4.84892 8.39857i −0.251068 0.434862i 0.712752 0.701416i \(-0.247448\pi\)
−0.963820 + 0.266554i \(0.914115\pi\)
\(374\) 6.66912 11.5513i 0.344852 0.597301i
\(375\) −12.6706 16.7588i −0.654308 0.865421i
\(376\) −20.9108 12.0728i −1.07839 0.622610i
\(377\) 0.677720 + 0.665928i 0.0349043 + 0.0342970i
\(378\) 5.56372 + 20.4236i 0.286167 + 1.05048i
\(379\) 5.82515 + 10.0895i 0.299218 + 0.518261i 0.975957 0.217962i \(-0.0699409\pi\)
−0.676739 + 0.736223i \(0.736608\pi\)
\(380\) 3.42829i 0.175867i
\(381\) 10.7491 25.4359i 0.550692 1.30312i
\(382\) −7.40009 12.8173i −0.378621 0.655792i
\(383\) −15.3910 26.6580i −0.786443 1.36216i −0.928133 0.372248i \(-0.878587\pi\)
0.141690 0.989911i \(-0.454746\pi\)
\(384\) 18.5273 14.0077i 0.945467 0.714828i
\(385\) −10.6693 + 4.74235i −0.543759 + 0.241692i
\(386\) −29.9540 17.2939i −1.52462 0.880238i
\(387\) −8.39839 8.64145i −0.426914 0.439270i
\(388\) −0.252519 0.145792i −0.0128197 0.00740147i
\(389\) −6.92484 + 3.99806i −0.351103 + 0.202710i −0.665171 0.746691i \(-0.731641\pi\)
0.314068 + 0.949401i \(0.398308\pi\)
\(390\) 16.9771 7.06489i 0.859671 0.357744i
\(391\) 0.761002i 0.0384855i
\(392\) 3.67226 17.1716i 0.185477 0.867299i
\(393\) 37.6667 4.68588i 1.90004 0.236372i
\(394\) −1.76624 3.05921i −0.0889818 0.154121i
\(395\) −4.24390 7.35065i −0.213534 0.369851i
\(396\) 1.84080 1.78902i 0.0925036 0.0899017i
\(397\) −13.3631 + 7.71522i −0.670677 + 0.387216i −0.796333 0.604858i \(-0.793230\pi\)
0.125656 + 0.992074i \(0.459896\pi\)
\(398\) 29.8813 1.49781
\(399\) −19.3888 10.7227i −0.970652 0.536807i
\(400\) −3.09146 5.35456i −0.154573 0.267728i
\(401\) 18.8273i 0.940190i 0.882616 + 0.470095i \(0.155780\pi\)
−0.882616 + 0.470095i \(0.844220\pi\)
\(402\) −1.91192 15.3687i −0.0953578 0.766519i
\(403\) −5.25347 5.16206i −0.261694 0.257141i
\(404\) 2.59112 4.48796i 0.128913 0.223284i
\(405\) −15.1447 + 8.17693i −0.752546 + 0.406315i
\(406\) −0.436031 0.980981i −0.0216398 0.0486853i
\(407\) 9.02010 + 5.20776i 0.447110 + 0.258139i
\(408\) −13.0105 + 9.83667i −0.644114 + 0.486988i
\(409\) 25.1350i 1.24284i −0.783476 0.621422i \(-0.786555\pi\)
0.783476 0.621422i \(-0.213445\pi\)
\(410\) 34.5798i 1.70778i
\(411\) 7.61383 5.75649i 0.375562 0.283947i
\(412\) 1.46107 + 0.843547i 0.0719816 + 0.0415586i
\(413\) −10.2620 1.08502i −0.504958 0.0533905i
\(414\) −0.255240 + 0.900963i −0.0125444 + 0.0442799i
\(415\) −4.01150 + 6.94812i −0.196917 + 0.341070i
\(416\) 7.19876 1.99677i 0.352948 0.0978999i
\(417\) −1.59174 12.7950i −0.0779479 0.626571i
\(418\) 17.1792i 0.840264i
\(419\) 4.26159 + 7.38130i 0.208193 + 0.360600i 0.951145 0.308744i \(-0.0999086\pi\)
−0.742953 + 0.669344i \(0.766575\pi\)
\(420\) −3.24882 + 0.0598719i −0.158526 + 0.00292145i
\(421\) −30.4095 −1.48207 −0.741035 0.671466i \(-0.765665\pi\)
−0.741035 + 0.671466i \(0.765665\pi\)
\(422\) −22.0328 + 12.7207i −1.07254 + 0.619232i
\(423\) 20.1251 + 20.7075i 0.978515 + 1.00684i
\(424\) −13.5437 23.4583i −0.657738 1.13924i
\(425\) 2.52059 + 4.36578i 0.122266 + 0.211772i
\(426\) 5.39698 0.671405i 0.261485 0.0325297i
\(427\) −26.2169 + 11.6530i −1.26872 + 0.563927i
\(428\) 4.82681i 0.233312i
\(429\) −13.3052 + 5.53684i −0.642381 + 0.267321i
\(430\) 10.2428 5.91367i 0.493950 0.285182i
\(431\) 16.2919 + 9.40614i 0.784754 + 0.453078i 0.838113 0.545497i \(-0.183659\pi\)
−0.0533584 + 0.998575i \(0.516993\pi\)
\(432\) −22.2933 + 8.68020i −1.07259 + 0.417626i
\(433\) −9.56781 5.52398i −0.459800 0.265466i 0.252160 0.967685i \(-0.418859\pi\)
−0.711960 + 0.702220i \(0.752192\pi\)
\(434\) 3.37997 + 7.60426i 0.162244 + 0.365016i
\(435\) 0.696256 0.526410i 0.0333829 0.0252394i
\(436\) −3.52459 6.10477i −0.168797 0.292365i
\(437\) −0.490073 0.848831i −0.0234434 0.0406051i
\(438\) 5.40915 12.7999i 0.258459 0.611602i
\(439\) 23.5779i 1.12531i 0.826691 + 0.562656i \(0.190220\pi\)
−0.826691 + 0.562656i \(0.809780\pi\)
\(440\) −5.53519 9.58722i −0.263880 0.457053i
\(441\) −9.82279 + 18.5611i −0.467752 + 0.883860i
\(442\) −20.0819 + 5.57027i −0.955198 + 0.264951i
\(443\) −33.9963 19.6278i −1.61521 0.932543i −0.988136 0.153584i \(-0.950918\pi\)
−0.627076 0.778958i \(-0.715748\pi\)
\(444\) 1.74813 + 2.31217i 0.0829627 + 0.109731i
\(445\) 11.3753 19.7025i 0.539239 0.933989i
\(446\) −8.90269 15.4199i −0.421555 0.730154i
\(447\) −16.5169 6.97996i −0.781225 0.330141i
\(448\) 15.8336 + 1.67413i 0.748069 + 0.0790952i
\(449\) 23.1182 + 13.3473i 1.09101 + 0.629898i 0.933846 0.357674i \(-0.116430\pi\)
0.157168 + 0.987572i \(0.449763\pi\)
\(450\) 1.51988 + 6.01413i 0.0716480 + 0.283509i
\(451\) 27.1007i 1.27612i
\(452\) 0.690968 + 0.398930i 0.0325004 + 0.0187641i
\(453\) 2.14704 5.08061i 0.100877 0.238708i
\(454\) 1.70443i 0.0799929i
\(455\) 17.0837 + 6.39849i 0.800898 + 0.299966i
\(456\) 8.17739 19.3505i 0.382942 0.906169i
\(457\) −11.1782 −0.522896 −0.261448 0.965218i \(-0.584200\pi\)
−0.261448 + 0.965218i \(0.584200\pi\)
\(458\) 5.81007 10.0633i 0.271487 0.470229i
\(459\) 18.1766 7.07731i 0.848411 0.330340i
\(460\) −0.124487 0.0718726i −0.00580423 0.00335108i
\(461\) 1.21945 2.11215i 0.0567954 0.0983725i −0.836230 0.548379i \(-0.815245\pi\)
0.893025 + 0.450007i \(0.148578\pi\)
\(462\) 16.2799 0.300020i 0.757411 0.0139582i
\(463\) 40.1909 1.86783 0.933915 0.357494i \(-0.116369\pi\)
0.933915 + 0.357494i \(0.116369\pi\)
\(464\) 1.05073 0.606637i 0.0487788 0.0281624i
\(465\) −5.39716 + 4.08056i −0.250287 + 0.189232i
\(466\) 2.63956 4.57185i 0.122275 0.211787i
\(467\) 2.74438 4.75341i 0.126995 0.219961i −0.795516 0.605932i \(-0.792800\pi\)
0.922511 + 0.385971i \(0.126134\pi\)
\(468\) −4.01060 0.0220092i −0.185390 0.00101738i
\(469\) 9.03863 12.4244i 0.417365 0.573704i
\(470\) −24.5448 + 14.1709i −1.13217 + 0.653657i
\(471\) 30.4720 + 12.8773i 1.40407 + 0.593353i
\(472\) 9.78407i 0.450348i
\(473\) −8.02739 + 4.63462i −0.369100 + 0.213100i
\(474\) 1.46128 + 11.7463i 0.0671187 + 0.539523i
\(475\) −5.62299 3.24643i −0.258000 0.148957i
\(476\) 3.66218 + 0.387212i 0.167856 + 0.0177478i
\(477\) 7.93700 + 31.4065i 0.363410 + 1.43800i
\(478\) 14.6559 0.670346
\(479\) 8.51423 14.7471i 0.389025 0.673811i −0.603294 0.797519i \(-0.706145\pi\)
0.992319 + 0.123708i \(0.0394786\pi\)
\(480\) −0.847243 6.81043i −0.0386712 0.310852i
\(481\) −4.34969 15.6815i −0.198329 0.715014i
\(482\) 13.4903 0.614468
\(483\) −0.795837 + 0.479242i −0.0362118 + 0.0218063i
\(484\) 1.05206 + 1.82221i 0.0478207 + 0.0828279i
\(485\) 1.30238 0.751932i 0.0591382 0.0341435i
\(486\) 23.8933 2.28252i 1.08382 0.103537i
\(487\) −10.6368 −0.482000 −0.241000 0.970525i \(-0.577475\pi\)
−0.241000 + 0.970525i \(0.577475\pi\)
\(488\) −13.6012 23.5579i −0.615696 1.06642i
\(489\) −14.8637 + 35.1726i −0.672161 + 1.59056i
\(490\) −15.3002 13.8109i −0.691195 0.623912i
\(491\) −4.91270 + 2.83635i −0.221707 + 0.128003i −0.606740 0.794900i \(-0.707523\pi\)
0.385033 + 0.922903i \(0.374190\pi\)
\(492\) 2.93586 6.94723i 0.132359 0.313206i
\(493\) −0.856699 + 0.494615i −0.0385838 + 0.0222764i
\(494\) 18.8124 19.1456i 0.846412 0.861399i
\(495\) 3.24379 + 12.8356i 0.145798 + 0.576916i
\(496\) −8.14490 + 4.70246i −0.365717 + 0.211147i
\(497\) 4.36305 + 3.17408i 0.195709 + 0.142377i
\(498\) 8.92487 6.74772i 0.399933 0.302372i
\(499\) 2.94413 5.09938i 0.131797 0.228280i −0.792572 0.609778i \(-0.791259\pi\)
0.924369 + 0.381499i \(0.124592\pi\)
\(500\) −4.49758 −0.201138
\(501\) −12.9619 + 30.6723i −0.579095 + 1.37034i
\(502\) −25.8889 14.9470i −1.15548 0.667115i
\(503\) 7.14545 12.3763i 0.318600 0.551831i −0.661596 0.749860i \(-0.730121\pi\)
0.980196 + 0.198029i \(0.0634541\pi\)
\(504\) −18.4803 7.41138i −0.823179 0.330129i
\(505\) 13.3639 + 23.1469i 0.594685 + 1.03003i
\(506\) 0.623807 + 0.360155i 0.0277316 + 0.0160109i
\(507\) 20.8913 + 8.39953i 0.927817 + 0.373036i
\(508\) −2.95570 5.11942i −0.131138 0.227138i
\(509\) 21.3222 0.945090 0.472545 0.881306i \(-0.343335\pi\)
0.472545 + 0.881306i \(0.343335\pi\)
\(510\) 2.36350 + 18.9986i 0.104657 + 0.841272i
\(511\) 12.5974 5.59932i 0.557274 0.247700i
\(512\) 13.5598i 0.599263i
\(513\) −15.7167 + 19.5996i −0.693911 + 0.865341i
\(514\) 23.3694i 1.03078i
\(515\) −7.53555 + 4.35065i −0.332056 + 0.191713i
\(516\) −2.55989 + 0.318460i −0.112693 + 0.0140194i
\(517\) 19.2361 11.1059i 0.846001 0.488439i
\(518\) −1.93330 + 18.2849i −0.0849445 + 0.803390i
\(519\) −2.56062 + 6.05930i −0.112399 + 0.265974i
\(520\) −4.32993 + 16.7460i −0.189880 + 0.734360i
\(521\) 1.36848 + 2.37027i 0.0599540 + 0.103843i 0.894445 0.447179i \(-0.147571\pi\)
−0.834491 + 0.551022i \(0.814238\pi\)
\(522\) −1.18016 + 0.298247i −0.0516540 + 0.0130539i
\(523\) 7.17052i 0.313545i −0.987635 0.156773i \(-0.949891\pi\)
0.987635 0.156773i \(-0.0501089\pi\)
\(524\) 4.06279 7.03696i 0.177484 0.307411i
\(525\) −2.97829 + 5.38533i −0.129983 + 0.235035i
\(526\) −1.34643 + 2.33209i −0.0587073 + 0.101684i
\(527\) 6.64086 3.83410i 0.289280 0.167016i
\(528\) 2.27182 + 18.2616i 0.0988682 + 0.794736i
\(529\) 22.9589 0.998213
\(530\) −31.7947 −1.38107
\(531\) −3.18929 + 11.2578i −0.138403 + 0.488546i
\(532\) −4.33420 + 1.92648i −0.187911 + 0.0835237i
\(533\) −29.6771 + 30.2026i −1.28546 + 1.30822i
\(534\) −25.3079 + 19.1342i −1.09518 + 0.828020i
\(535\) 21.5593 + 12.4473i 0.932091 + 0.538143i
\(536\) 12.6159 + 7.28381i 0.544925 + 0.314612i
\(537\) −4.29931 34.5593i −0.185529 1.49134i
\(538\) 19.4783i 0.839770i
\(539\) 11.9910 + 10.8238i 0.516489 + 0.466212i
\(540\) −0.558956 + 3.64180i −0.0240536 + 0.156718i
\(541\) −8.19656 + 14.1969i −0.352397 + 0.610370i −0.986669 0.162740i \(-0.947967\pi\)
0.634272 + 0.773110i \(0.281300\pi\)
\(542\) 16.5579 0.711225
\(543\) 23.2914 17.6096i 0.999530 0.755702i
\(544\) 7.77792i 0.333476i
\(545\) 36.3566 1.55735
\(546\) −18.4719 17.4933i −0.790523 0.748643i
\(547\) 7.36008 0.314694 0.157347 0.987543i \(-0.449706\pi\)
0.157347 + 0.987543i \(0.449706\pi\)
\(548\) 2.04333i 0.0872868i
\(549\) 7.97070 + 31.5398i 0.340181 + 1.34609i
\(550\) 4.77162 0.203463
\(551\) 0.637049 1.10340i 0.0271392 0.0470064i
\(552\) −0.531213 0.702610i −0.0226099 0.0299051i
\(553\) −6.90822 + 9.49594i −0.293768 + 0.403808i
\(554\) 8.11278i 0.344679i
\(555\) −14.8355 + 1.84560i −0.629734 + 0.0783413i
\(556\) −2.39037 1.38008i −0.101374 0.0585286i
\(557\) −35.6047 20.5564i −1.50862 0.871003i −0.999950 0.0100425i \(-0.996803\pi\)
−0.508672 0.860960i \(-0.669863\pi\)
\(558\) 9.14819 2.31192i 0.387274 0.0978713i
\(559\) 14.0214 + 3.62545i 0.593043 + 0.153340i
\(560\) 13.7041 18.8374i 0.579103 0.796026i
\(561\) −1.85230 14.8894i −0.0782043 0.628633i
\(562\) −31.4001 −1.32453
\(563\) 14.7381 0.621138 0.310569 0.950551i \(-0.399480\pi\)
0.310569 + 0.950551i \(0.399480\pi\)
\(564\) 6.13428 0.763127i 0.258300 0.0321335i
\(565\) −3.56371 + 2.05751i −0.149926 + 0.0865601i
\(566\) 0.657780 1.13931i 0.0276486 0.0478887i
\(567\) 18.8480 + 14.5517i 0.791543 + 0.611114i
\(568\) −2.55784 + 4.43031i −0.107325 + 0.185892i
\(569\) 24.0353i 1.00761i −0.863817 0.503806i \(-0.831933\pi\)
0.863817 0.503806i \(-0.168067\pi\)
\(570\) −14.8711 19.6692i −0.622880 0.823853i
\(571\) 5.51532 + 9.55282i 0.230809 + 0.399773i 0.958046 0.286613i \(-0.0925294\pi\)
−0.727237 + 0.686386i \(0.759196\pi\)
\(572\) −0.772292 + 2.98684i −0.0322912 + 0.124886i
\(573\) −15.3356 6.48073i −0.640654 0.270736i
\(574\) 43.7174 19.4317i 1.82473 0.811064i
\(575\) −0.235767 + 0.136120i −0.00983217 + 0.00567661i
\(576\) 4.92090 17.3701i 0.205038 0.723756i
\(577\) −6.76920 + 3.90820i −0.281805 + 0.162700i −0.634240 0.773136i \(-0.718687\pi\)
0.352435 + 0.935836i \(0.385354\pi\)
\(578\) 4.47796i 0.186259i
\(579\) −38.6103 + 4.80327i −1.60459 + 0.199617i
\(580\) 0.186855i 0.00775874i
\(581\) 11.0384 + 1.16711i 0.457948 + 0.0484200i
\(582\) −2.08120 + 0.258909i −0.0862684 + 0.0107321i
\(583\) 24.9179 1.03199
\(584\) 6.53543 + 11.3197i 0.270438 + 0.468413i
\(585\) 10.4408 17.8569i 0.431672 0.738292i
\(586\) 39.1598 + 22.6089i 1.61768 + 0.933966i
\(587\) −2.43294 4.21397i −0.100418 0.173929i 0.811439 0.584437i \(-0.198685\pi\)
−0.911857 + 0.410508i \(0.865351\pi\)
\(588\) 1.90133 + 4.07367i 0.0784095 + 0.167995i
\(589\) −4.93820 + 8.55321i −0.203475 + 0.352429i
\(590\) −9.94579 5.74220i −0.409462 0.236403i
\(591\) −3.66027 1.54681i −0.150563 0.0636272i
\(592\) −20.7804 −0.854070
\(593\) −21.6766 + 37.5450i −0.890152 + 1.54179i −0.0504606 + 0.998726i \(0.516069\pi\)
−0.839692 + 0.543063i \(0.817264\pi\)
\(594\) 2.80094 18.2491i 0.114924 0.748771i
\(595\) −11.1735 + 15.3589i −0.458068 + 0.629653i
\(596\) −3.32432 + 1.91930i −0.136169 + 0.0786175i
\(597\) 26.8126 20.2719i 1.09737 0.829673i
\(598\) −0.300813 1.08449i −0.0123012 0.0443481i
\(599\) 17.2985 9.98730i 0.706798 0.408070i −0.103076 0.994673i \(-0.532869\pi\)
0.809874 + 0.586604i \(0.199535\pi\)
\(600\) −5.37470 2.27131i −0.219421 0.0927260i
\(601\) 13.3976 7.73512i 0.546500 0.315522i −0.201209 0.979548i \(-0.564487\pi\)
0.747709 + 0.664026i \(0.231154\pi\)
\(602\) −13.2321 9.62628i −0.539302 0.392338i
\(603\) −12.1419 12.4933i −0.494456 0.508767i
\(604\) −0.590376 1.02256i −0.0240220 0.0416074i
\(605\) −10.8521 −0.441200
\(606\) −4.60152 36.9886i −0.186924 1.50256i
\(607\) 8.91213 5.14542i 0.361732 0.208846i −0.308108 0.951351i \(-0.599696\pi\)
0.669840 + 0.742505i \(0.266362\pi\)
\(608\) −5.00886 8.67559i −0.203136 0.351842i
\(609\) −1.05676 0.584430i −0.0428223 0.0236823i
\(610\) −31.9297 −1.29280
\(611\) −33.5996 8.68768i −1.35929 0.351466i
\(612\) 1.13816 4.01756i 0.0460074 0.162400i
\(613\) −16.3115 + 28.2524i −0.658817 + 1.14110i 0.322105 + 0.946704i \(0.395610\pi\)
−0.980922 + 0.194401i \(0.937724\pi\)
\(614\) 17.4712 0.705081
\(615\) 23.4595 + 31.0287i 0.945977 + 1.25120i
\(616\) −9.01019 + 12.3853i −0.363031 + 0.499016i
\(617\) 37.9111 + 21.8880i 1.52625 + 0.881178i 0.999515 + 0.0311459i \(0.00991564\pi\)
0.526731 + 0.850032i \(0.323418\pi\)
\(618\) 12.0417 1.49804i 0.484389 0.0602599i
\(619\) 4.18956 2.41884i 0.168393 0.0972215i −0.413435 0.910534i \(-0.635671\pi\)
0.581828 + 0.813312i \(0.302338\pi\)
\(620\) 1.44844i 0.0581708i
\(621\) 0.382199 + 0.981598i 0.0153371 + 0.0393902i
\(622\) 17.1601 9.90738i 0.688056 0.397250i
\(623\) −31.3010 3.30954i −1.25405 0.132594i
\(624\) 17.4659 22.8397i 0.699196 0.914318i
\(625\) 8.24099 14.2738i 0.329640 0.570953i
\(626\) 19.9279 34.5161i 0.796478 1.37954i
\(627\) 11.6546 + 15.4150i 0.465442 + 0.615617i
\(628\) 6.13301 3.54089i 0.244734 0.141297i
\(629\) 16.9431 0.675565
\(630\) −18.3799 + 14.4361i −0.732271 + 0.575148i
\(631\) 9.28534 16.0827i 0.369644 0.640242i −0.619866 0.784708i \(-0.712813\pi\)
0.989510 + 0.144466i \(0.0461464\pi\)
\(632\) −9.64234 5.56701i −0.383552 0.221444i
\(633\) −11.1403 + 26.3617i −0.442787 + 1.04778i
\(634\) 22.9797 39.8020i 0.912640 1.58074i
\(635\) 30.4884 1.20990
\(636\) 6.38769 + 2.69940i 0.253288 + 0.107038i
\(637\) −1.51072 25.1936i −0.0598571 0.998207i
\(638\) 0.936336i 0.0370699i
\(639\) 4.38725 4.26385i 0.173557 0.168675i
\(640\) 22.2087 + 12.8222i 0.877877 + 0.506843i
\(641\) 1.86283i 0.0735773i 0.999323 + 0.0367886i \(0.0117128\pi\)
−0.999323 + 0.0367886i \(0.988287\pi\)
\(642\) −20.9375 27.6930i −0.826337 1.09296i
\(643\) −8.43742 4.87135i −0.332739 0.192107i 0.324317 0.945948i \(-0.394865\pi\)
−0.657057 + 0.753841i \(0.728199\pi\)
\(644\) −0.0209107 + 0.197770i −0.000823999 + 0.00779324i
\(645\) 5.17898 12.2552i 0.203922 0.482549i
\(646\) 13.9729 + 24.2017i 0.549755 + 0.952204i
\(647\) −0.865037 + 1.49829i −0.0340081 + 0.0589038i −0.882529 0.470259i \(-0.844161\pi\)
0.848520 + 0.529163i \(0.177494\pi\)
\(648\) −11.8416 + 19.2223i −0.465183 + 0.755125i
\(649\) 7.79464 + 4.50024i 0.305966 + 0.176650i
\(650\) −5.31778 5.22525i −0.208580 0.204951i
\(651\) 8.19171 + 4.53032i 0.321058 + 0.177557i
\(652\) 4.08711 + 7.07909i 0.160064 + 0.277239i
\(653\) 23.5081i 0.919942i −0.887934 0.459971i \(-0.847860\pi\)
0.887934 0.459971i \(-0.152140\pi\)
\(654\) −46.7027 19.7363i −1.82622 0.771750i
\(655\) 20.9541 + 36.2936i 0.818746 + 1.41811i
\(656\) 27.0348 + 46.8256i 1.05553 + 1.82823i
\(657\) −3.82997 15.1551i −0.149421 0.591255i
\(658\) 31.7082 + 23.0675i 1.23611 + 0.899264i
\(659\) 11.6929 + 6.75090i 0.455491 + 0.262978i 0.710146 0.704054i \(-0.248629\pi\)
−0.254655 + 0.967032i \(0.581962\pi\)
\(660\) 2.61060 + 1.10322i 0.101617 + 0.0429429i
\(661\) −3.63069 2.09618i −0.141218 0.0815320i 0.427727 0.903908i \(-0.359315\pi\)
−0.568944 + 0.822376i \(0.692648\pi\)
\(662\) −24.0381 + 13.8784i −0.934266 + 0.539399i
\(663\) −14.2406 + 18.6221i −0.553061 + 0.723222i
\(664\) 10.5243i 0.408423i
\(665\) 2.57216 24.3271i 0.0997442 0.943363i
\(666\) 20.0592 + 5.68271i 0.777280 + 0.220201i
\(667\) −0.0267109 0.0462647i −0.00103425 0.00179137i
\(668\) 3.56417 + 6.17332i 0.137902 + 0.238853i
\(669\) −18.4495 7.79666i −0.713300 0.301436i
\(670\) 14.8084 8.54963i 0.572098 0.330301i
\(671\) 25.0237 0.966030
\(672\) −8.13396 + 4.89816i −0.313774 + 0.188951i
\(673\) −6.96155 12.0578i −0.268348 0.464792i 0.700087 0.714057i \(-0.253144\pi\)
−0.968435 + 0.249265i \(0.919811\pi\)
\(674\) 5.36809i 0.206771i
\(675\) 5.44388 + 4.36540i 0.209535 + 0.168024i
\(676\) 4.13148 2.48300i 0.158903 0.0954999i
\(677\) 12.3751 21.4343i 0.475614 0.823788i −0.523995 0.851721i \(-0.675559\pi\)
0.999610 + 0.0279327i \(0.00889242\pi\)
\(678\) 5.69477 0.708451i 0.218706 0.0272079i
\(679\) −1.68249 1.22400i −0.0645679 0.0469727i
\(680\) −15.5957 9.00418i −0.598067 0.345294i
\(681\) 1.15631 + 1.52940i 0.0443099 + 0.0586066i
\(682\) 7.25818i 0.277930i
\(683\) 12.5093i 0.478656i −0.970939 0.239328i \(-0.923073\pi\)
0.970939 0.239328i \(-0.0769271\pi\)
\(684\) 1.31773 + 5.21420i 0.0503845 + 0.199370i
\(685\) 9.12672 + 5.26931i 0.348714 + 0.201330i
\(686\) −8.86257 + 27.1041i −0.338374 + 1.03484i
\(687\) −1.61371 12.9715i −0.0615667 0.494894i
\(688\) 9.24671 16.0158i 0.352527 0.610595i
\(689\) −27.7700 27.2868i −1.05795 1.03955i
\(690\) −1.02599 + 0.127637i −0.0390587 + 0.00485905i
\(691\) 4.37321i 0.166365i 0.996534 + 0.0831823i \(0.0265084\pi\)
−0.996534 + 0.0831823i \(0.973492\pi\)
\(692\) 0.704101 + 1.21954i 0.0267659 + 0.0463599i
\(693\) 14.4045 11.3137i 0.547183 0.429774i
\(694\) −36.8551 −1.39900
\(695\) 12.3285 7.11787i 0.467647 0.269996i
\(696\) 0.445700 1.05468i 0.0168942 0.0399775i
\(697\) −22.0425 38.1788i −0.834921 1.44612i
\(698\) 4.56232 + 7.90217i 0.172686 + 0.299101i
\(699\) −0.733120 5.89307i −0.0277291 0.222896i
\(700\) 0.535091 + 1.20385i 0.0202245 + 0.0455011i
\(701\) 36.4301i 1.37595i −0.725736 0.687973i \(-0.758501\pi\)
0.725736 0.687973i \(-0.241499\pi\)
\(702\) −23.1056 + 17.2707i −0.872064 + 0.651841i
\(703\) −18.8985 + 10.9111i −0.712772 + 0.411519i
\(704\) −12.0267 6.94362i −0.453273 0.261698i
\(705\) −12.4104 + 29.3672i −0.467403 + 1.10603i
\(706\) 12.6603 + 7.30941i 0.476476 + 0.275093i
\(707\) 21.7538 29.9024i 0.818135 1.12460i
\(708\) 1.51063 + 1.99804i 0.0567731 + 0.0750909i
\(709\) −1.23725 2.14298i −0.0464659 0.0804813i 0.841857 0.539701i \(-0.181463\pi\)
−0.888323 + 0.459219i \(0.848129\pi\)
\(710\) 3.00236 + 5.20024i 0.112677 + 0.195162i
\(711\) 9.28004 + 9.54863i 0.348029 + 0.358101i
\(712\) 29.8434i 1.11843i
\(713\) 0.207054 + 0.358629i 0.00775425 + 0.0134308i
\(714\) 22.6908 13.6641i 0.849181 0.511365i
\(715\) −11.3494 11.1519i −0.424443 0.417058i
\(716\) −6.45643 3.72762i −0.241288 0.139308i
\(717\) 13.1508 9.94279i 0.491127 0.371320i
\(718\) −27.5743 + 47.7600i −1.02906 + 1.78239i
\(719\) 1.03817 + 1.79816i 0.0387172 + 0.0670602i 0.884735 0.466095i \(-0.154340\pi\)
−0.846017 + 0.533155i \(0.821006\pi\)
\(720\) −18.4091 18.9419i −0.686068 0.705924i
\(721\) 9.73481 + 7.08200i 0.362543 + 0.263747i
\(722\) −5.83548 3.36912i −0.217174 0.125386i
\(723\) 12.1049 9.15204i 0.450188 0.340368i
\(724\) 6.25075i 0.232307i
\(725\) −0.306475 0.176944i −0.0113822 0.00657152i
\(726\) 13.9403 + 5.89109i 0.517373 + 0.218639i
\(727\) 8.36821i 0.310360i 0.987886 + 0.155180i \(0.0495957\pi\)
−0.987886 + 0.155180i \(0.950404\pi\)
\(728\) 23.6042 3.93611i 0.874830 0.145882i
\(729\) 19.8911 18.2577i 0.736708 0.676211i
\(730\) 15.3424 0.567848
\(731\) −7.53921 + 13.0583i −0.278848 + 0.482978i
\(732\) 6.41481 + 2.71086i 0.237098 + 0.100196i
\(733\) −31.2081 18.0180i −1.15270 0.665510i −0.203154 0.979147i \(-0.565119\pi\)
−0.949543 + 0.313637i \(0.898453\pi\)
\(734\) 4.30136 7.45018i 0.158766 0.274991i
\(735\) −23.0985 2.01266i −0.852001 0.0742382i
\(736\) −0.420034 −0.0154827
\(737\) −11.6055 + 6.70045i −0.427495 + 0.246814i
\(738\) −13.2914 52.5936i −0.489263 1.93600i
\(739\) −19.8594 + 34.3974i −0.730539 + 1.26533i 0.226114 + 0.974101i \(0.427398\pi\)
−0.956653 + 0.291230i \(0.905936\pi\)
\(740\) −1.60019 + 2.77160i −0.0588240 + 0.101886i
\(741\) 3.89188 29.9420i 0.142972 1.09995i
\(742\) 17.8666 + 40.1964i 0.655905 + 1.47565i
\(743\) −1.45158 + 0.838068i −0.0532531 + 0.0307457i −0.526390 0.850243i \(-0.676455\pi\)
0.473137 + 0.880989i \(0.343122\pi\)
\(744\) −3.45493 + 8.17553i −0.126664 + 0.299729i
\(745\) 19.7978i 0.725335i
\(746\) −12.9316 + 7.46605i −0.473459 + 0.273352i
\(747\) 3.43059 12.1095i 0.125519 0.443064i
\(748\) −2.78167 1.60600i −0.101708 0.0587211i
\(749\) 3.62144 34.2509i 0.132324 1.25150i
\(750\) −25.8041 + 19.5094i −0.942233 + 0.712382i
\(751\) −0.320615 −0.0116994 −0.00584970 0.999983i \(-0.501862\pi\)
−0.00584970 + 0.999983i \(0.501862\pi\)
\(752\) −22.1579 + 38.3786i −0.808016 + 1.39952i
\(753\) −33.3705 + 4.15141i −1.21609 + 0.151286i
\(754\) 1.02535 1.04351i 0.0373411 0.0380024i
\(755\) 6.08980 0.221631
\(756\) 4.91823 1.33981i 0.178874 0.0487283i
\(757\) 11.1148 + 19.2515i 0.403976 + 0.699707i 0.994202 0.107532i \(-0.0342947\pi\)
−0.590226 + 0.807238i \(0.700961\pi\)
\(758\) 15.5351 8.96919i 0.564260 0.325776i
\(759\) 0.804080 0.100031i 0.0291863 0.00363088i
\(760\) 23.1942 0.841341
\(761\) −18.3662 31.8111i −0.665773 1.15315i −0.979075 0.203500i \(-0.934768\pi\)
0.313302 0.949654i \(-0.398565\pi\)
\(762\) −39.1646 16.5507i −1.41878 0.599570i
\(763\) −20.4302 45.9637i −0.739621 1.66400i
\(764\) −3.08655 + 1.78202i −0.111668 + 0.0644713i
\(765\) 15.0097 + 15.4441i 0.542677 + 0.558383i
\(766\) −41.0462 + 23.6981i −1.48306 + 0.856246i
\(767\) −3.75874 13.5510i −0.135720 0.489298i
\(768\) −8.99580 11.8983i −0.324608 0.429343i
\(769\) −36.7540 + 21.2199i −1.32538 + 0.765211i −0.984582 0.174924i \(-0.944032\pi\)
−0.340802 + 0.940135i \(0.610699\pi\)
\(770\) 7.30196 + 16.4279i 0.263144 + 0.592022i
\(771\) 15.8541 + 20.9695i 0.570972 + 0.755196i
\(772\) −4.16457 + 7.21325i −0.149886 + 0.259611i
\(773\) −2.93782 −0.105666 −0.0528330 0.998603i \(-0.516825\pi\)