Properties

Label 171.2.g.c.106.14
Level $171$
Weight $2$
Character 171.106
Analytic conductor $1.365$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 171 = 3^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 171.g (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.36544187456\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(16\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 106.14
Character \(\chi\) \(=\) 171.106
Dual form 171.2.g.c.121.14

$q$-expansion

\(f(q)\) \(=\) \(q+(1.19971 + 2.07797i) q^{2} +(-0.340918 + 1.69817i) q^{3} +(-1.87863 + 3.25388i) q^{4} +0.719678 q^{5} +(-3.93774 + 1.32890i) q^{6} +(1.65862 - 2.87282i) q^{7} -4.21641 q^{8} +(-2.76755 - 1.15787i) q^{9} +O(q^{10})\) \(q+(1.19971 + 2.07797i) q^{2} +(-0.340918 + 1.69817i) q^{3} +(-1.87863 + 3.25388i) q^{4} +0.719678 q^{5} +(-3.93774 + 1.32890i) q^{6} +(1.65862 - 2.87282i) q^{7} -4.21641 q^{8} +(-2.76755 - 1.15787i) q^{9} +(0.863408 + 1.49547i) q^{10} +(0.550465 - 0.953433i) q^{11} +(-4.88518 - 4.29953i) q^{12} +(2.37472 - 4.11314i) q^{13} +7.95949 q^{14} +(-0.245351 + 1.22213i) q^{15} +(-1.30123 - 2.25380i) q^{16} +(-3.13488 + 5.42977i) q^{17} +(-0.914252 - 7.13999i) q^{18} +(-4.19132 + 1.19702i) q^{19} +(-1.35201 + 2.34175i) q^{20} +(4.31308 + 3.79602i) q^{21} +2.64160 q^{22} +(1.11407 - 1.92963i) q^{23} +(1.43745 - 7.16018i) q^{24} -4.48206 q^{25} +11.3960 q^{26} +(2.90977 - 4.30503i) q^{27} +(6.23187 + 10.7939i) q^{28} +5.94195 q^{29} +(-2.83390 + 0.956381i) q^{30} +(-0.763210 - 1.32192i) q^{31} +(-1.09420 + 1.89520i) q^{32} +(1.43143 + 1.25982i) q^{33} -15.0438 q^{34} +(1.19367 - 2.06750i) q^{35} +(8.96677 - 6.83007i) q^{36} -3.69507 q^{37} +(-7.51575 - 7.27334i) q^{38} +(6.17522 + 5.43492i) q^{39} -3.03446 q^{40} +5.68106 q^{41} +(-2.71353 + 13.5166i) q^{42} +(-2.30746 - 3.99663i) q^{43} +(2.06824 + 3.58229i) q^{44} +(-1.99175 - 0.833295i) q^{45} +5.34627 q^{46} +0.283238 q^{47} +(4.27095 - 1.44135i) q^{48} +(-2.00206 - 3.46767i) q^{49} +(-5.37720 - 9.31358i) q^{50} +(-8.15193 - 7.17466i) q^{51} +(8.92245 + 15.4541i) q^{52} +(1.90426 + 3.29828i) q^{53} +(12.4366 + 0.881596i) q^{54} +(0.396157 - 0.686164i) q^{55} +(-6.99344 + 12.1130i) q^{56} +(-0.603845 - 7.52565i) q^{57} +(7.12864 + 12.3472i) q^{58} -13.3719 q^{59} +(-3.51576 - 3.09428i) q^{60} +11.8921 q^{61} +(1.83127 - 3.17185i) q^{62} +(-7.91668 + 6.03020i) q^{63} -10.4558 q^{64} +(1.70904 - 2.96014i) q^{65} +(-0.900569 + 4.48588i) q^{66} +(3.72296 - 6.44836i) q^{67} +(-11.7785 - 20.4010i) q^{68} +(2.89702 + 2.54972i) q^{69} +5.72827 q^{70} +(5.51472 - 9.55177i) q^{71} +(11.6691 + 4.88206i) q^{72} +(-5.22640 + 9.05239i) q^{73} +(-4.43302 - 7.67822i) q^{74} +(1.52802 - 7.61130i) q^{75} +(3.97897 - 15.8868i) q^{76} +(-1.82603 - 3.16277i) q^{77} +(-3.88509 + 19.3523i) q^{78} +(-6.11654 - 10.5942i) q^{79} +(-0.936469 - 1.62201i) q^{80} +(6.31867 + 6.40893i) q^{81} +(6.81565 + 11.8050i) q^{82} +(-5.05059 + 8.74788i) q^{83} +(-20.4544 + 6.90293i) q^{84} +(-2.25610 + 3.90769i) q^{85} +(5.53657 - 9.58963i) q^{86} +(-2.02572 + 10.0904i) q^{87} +(-2.32099 + 4.02007i) q^{88} +(4.23637 + 7.33760i) q^{89} +(-0.657967 - 5.13849i) q^{90} +(-7.87754 - 13.6443i) q^{91} +(4.18585 + 7.25010i) q^{92} +(2.50503 - 0.845393i) q^{93} +(0.339804 + 0.588558i) q^{94} +(-3.01640 + 0.861468i) q^{95} +(-2.84534 - 2.50424i) q^{96} +(-6.16532 - 10.6786i) q^{97} +(4.80380 - 8.32042i) q^{98} +(-2.62739 + 2.00131i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q + q^{2} - 2 q^{3} - 17 q^{4} - 6 q^{5} + 2 q^{6} + q^{7} - 36 q^{8} - 10 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 32 q + q^{2} - 2 q^{3} - 17 q^{4} - 6 q^{5} + 2 q^{6} + q^{7} - 36 q^{8} - 10 q^{9} - 8 q^{10} + 7 q^{11} - 3 q^{12} - 4 q^{13} - 2 q^{14} + q^{15} - 11 q^{16} - 7 q^{17} + 6 q^{18} + 7 q^{19} - 3 q^{20} + 11 q^{21} + 16 q^{22} + 5 q^{23} + 27 q^{24} + 18 q^{25} - 4 q^{26} - 5 q^{27} - 10 q^{28} - 20 q^{29} - 5 q^{30} - 10 q^{31} + 17 q^{32} + 34 q^{33} + 26 q^{34} - 3 q^{35} - 16 q^{36} + 2 q^{37} + 38 q^{38} - 24 q^{40} - 12 q^{41} + 25 q^{42} + 7 q^{43} + 20 q^{44} - 35 q^{45} + 18 q^{47} - 33 q^{48} - 13 q^{49} + q^{50} - 28 q^{51} + 19 q^{52} + 16 q^{53} + 35 q^{54} + 15 q^{55} - 6 q^{56} + 6 q^{57} - 74 q^{59} + 50 q^{60} + 24 q^{61} + 54 q^{62} - 30 q^{63} - 64 q^{64} + 54 q^{65} + 4 q^{66} - 11 q^{67} - 2 q^{68} + 3 q^{69} - 48 q^{70} + 9 q^{71} - 10 q^{73} + 6 q^{74} - 76 q^{75} + 29 q^{76} + 46 q^{77} - 82 q^{78} - 8 q^{79} - 24 q^{80} + 26 q^{81} + 7 q^{82} + 3 q^{83} + 12 q^{84} - 27 q^{85} + 17 q^{86} - 9 q^{87} + 9 q^{88} + 30 q^{89} - 74 q^{90} - q^{91} - 17 q^{92} - 24 q^{93} - 18 q^{94} - 6 q^{95} - 5 q^{96} + 18 q^{98} - 10 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(154\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.19971 + 2.07797i 0.848326 + 1.46934i 0.882701 + 0.469935i \(0.155723\pi\)
−0.0343750 + 0.999409i \(0.510944\pi\)
\(3\) −0.340918 + 1.69817i −0.196829 + 0.980438i
\(4\) −1.87863 + 3.25388i −0.939314 + 1.62694i
\(5\) 0.719678 0.321850 0.160925 0.986967i \(-0.448552\pi\)
0.160925 + 0.986967i \(0.448552\pi\)
\(6\) −3.93774 + 1.32890i −1.60758 + 0.542522i
\(7\) 1.65862 2.87282i 0.626900 1.08582i −0.361270 0.932461i \(-0.617657\pi\)
0.988170 0.153362i \(-0.0490101\pi\)
\(8\) −4.21641 −1.49073
\(9\) −2.76755 1.15787i −0.922517 0.385957i
\(10\) 0.863408 + 1.49547i 0.273034 + 0.472908i
\(11\) 0.550465 0.953433i 0.165971 0.287471i −0.771028 0.636801i \(-0.780257\pi\)
0.937000 + 0.349330i \(0.113591\pi\)
\(12\) −4.88518 4.29953i −1.41023 1.24117i
\(13\) 2.37472 4.11314i 0.658630 1.14078i −0.322341 0.946624i \(-0.604470\pi\)
0.980971 0.194157i \(-0.0621970\pi\)
\(14\) 7.95949 2.12726
\(15\) −0.245351 + 1.22213i −0.0633494 + 0.315554i
\(16\) −1.30123 2.25380i −0.325308 0.563451i
\(17\) −3.13488 + 5.42977i −0.760320 + 1.31691i 0.182366 + 0.983231i \(0.441624\pi\)
−0.942686 + 0.333682i \(0.891709\pi\)
\(18\) −0.914252 7.13999i −0.215491 1.68291i
\(19\) −4.19132 + 1.19702i −0.961554 + 0.274615i
\(20\) −1.35201 + 2.34175i −0.302318 + 0.523630i
\(21\) 4.31308 + 3.79602i 0.941190 + 0.828358i
\(22\) 2.64160 0.563191
\(23\) 1.11407 1.92963i 0.232300 0.402355i −0.726185 0.687500i \(-0.758708\pi\)
0.958485 + 0.285145i \(0.0920416\pi\)
\(24\) 1.43745 7.16018i 0.293418 1.46157i
\(25\) −4.48206 −0.896413
\(26\) 11.3960 2.23493
\(27\) 2.90977 4.30503i 0.559985 0.828503i
\(28\) 6.23187 + 10.7939i 1.17771 + 2.03986i
\(29\) 5.94195 1.10339 0.551696 0.834045i \(-0.313981\pi\)
0.551696 + 0.834045i \(0.313981\pi\)
\(30\) −2.83390 + 0.956381i −0.517398 + 0.174610i
\(31\) −0.763210 1.32192i −0.137077 0.237424i 0.789312 0.613992i \(-0.210437\pi\)
−0.926389 + 0.376568i \(0.877104\pi\)
\(32\) −1.09420 + 1.89520i −0.193428 + 0.335028i
\(33\) 1.43143 + 1.25982i 0.249179 + 0.219307i
\(34\) −15.0438 −2.58000
\(35\) 1.19367 2.06750i 0.201768 0.349472i
\(36\) 8.96677 6.83007i 1.49446 1.13834i
\(37\) −3.69507 −0.607465 −0.303733 0.952757i \(-0.598233\pi\)
−0.303733 + 0.952757i \(0.598233\pi\)
\(38\) −7.51575 7.27334i −1.21922 1.17989i
\(39\) 6.17522 + 5.43492i 0.988827 + 0.870284i
\(40\) −3.03446 −0.479790
\(41\) 5.68106 0.887232 0.443616 0.896217i \(-0.353695\pi\)
0.443616 + 0.896217i \(0.353695\pi\)
\(42\) −2.71353 + 13.5166i −0.418707 + 2.08565i
\(43\) −2.30746 3.99663i −0.351884 0.609480i 0.634696 0.772762i \(-0.281125\pi\)
−0.986579 + 0.163282i \(0.947792\pi\)
\(44\) 2.06824 + 3.58229i 0.311798 + 0.540051i
\(45\) −1.99175 0.833295i −0.296912 0.124220i
\(46\) 5.34627 0.788264
\(47\) 0.283238 0.0413144 0.0206572 0.999787i \(-0.493424\pi\)
0.0206572 + 0.999787i \(0.493424\pi\)
\(48\) 4.27095 1.44135i 0.616458 0.208041i
\(49\) −2.00206 3.46767i −0.286008 0.495381i
\(50\) −5.37720 9.31358i −0.760450 1.31714i
\(51\) −8.15193 7.17466i −1.14150 1.00465i
\(52\) 8.92245 + 15.4541i 1.23732 + 2.14310i
\(53\) 1.90426 + 3.29828i 0.261570 + 0.453053i 0.966659 0.256066i \(-0.0824263\pi\)
−0.705089 + 0.709119i \(0.749093\pi\)
\(54\) 12.4366 + 0.881596i 1.69241 + 0.119970i
\(55\) 0.396157 0.686164i 0.0534178 0.0925224i
\(56\) −6.99344 + 12.1130i −0.934537 + 1.61867i
\(57\) −0.603845 7.52565i −0.0799812 0.996796i
\(58\) 7.12864 + 12.3472i 0.936037 + 1.62126i
\(59\) −13.3719 −1.74087 −0.870434 0.492286i \(-0.836161\pi\)
−0.870434 + 0.492286i \(0.836161\pi\)
\(60\) −3.51576 3.09428i −0.453882 0.399470i
\(61\) 11.8921 1.52262 0.761311 0.648387i \(-0.224556\pi\)
0.761311 + 0.648387i \(0.224556\pi\)
\(62\) 1.83127 3.17185i 0.232571 0.402825i
\(63\) −7.91668 + 6.03020i −0.997407 + 0.759734i
\(64\) −10.4558 −1.30698
\(65\) 1.70904 2.96014i 0.211980 0.367160i
\(66\) −0.900569 + 4.48588i −0.110852 + 0.552174i
\(67\) 3.72296 6.44836i 0.454832 0.787792i −0.543847 0.839185i \(-0.683033\pi\)
0.998679 + 0.0513926i \(0.0163660\pi\)
\(68\) −11.7785 20.4010i −1.42836 2.47399i
\(69\) 2.89702 + 2.54972i 0.348761 + 0.306951i
\(70\) 5.72827 0.684659
\(71\) 5.51472 9.55177i 0.654477 1.13359i −0.327548 0.944834i \(-0.606222\pi\)
0.982025 0.188752i \(-0.0604443\pi\)
\(72\) 11.6691 + 4.88206i 1.37522 + 0.575357i
\(73\) −5.22640 + 9.05239i −0.611703 + 1.05950i 0.379250 + 0.925294i \(0.376182\pi\)
−0.990953 + 0.134207i \(0.957151\pi\)
\(74\) −4.43302 7.67822i −0.515329 0.892575i
\(75\) 1.52802 7.61130i 0.176440 0.878877i
\(76\) 3.97897 15.8868i 0.456419 1.82234i
\(77\) −1.82603 3.16277i −0.208095 0.360431i
\(78\) −3.88509 + 19.3523i −0.439899 + 2.19121i
\(79\) −6.11654 10.5942i −0.688164 1.19194i −0.972431 0.233190i \(-0.925083\pi\)
0.284267 0.958745i \(-0.408250\pi\)
\(80\) −0.936469 1.62201i −0.104700 0.181346i
\(81\) 6.31867 + 6.40893i 0.702074 + 0.712104i
\(82\) 6.81565 + 11.8050i 0.752662 + 1.30365i
\(83\) −5.05059 + 8.74788i −0.554374 + 0.960205i 0.443577 + 0.896236i \(0.353709\pi\)
−0.997952 + 0.0639687i \(0.979624\pi\)
\(84\) −20.4544 + 6.90293i −2.23176 + 0.753171i
\(85\) −2.25610 + 3.90769i −0.244709 + 0.423848i
\(86\) 5.53657 9.58963i 0.597024 1.03408i
\(87\) −2.02572 + 10.0904i −0.217180 + 1.08181i
\(88\) −2.32099 + 4.02007i −0.247418 + 0.428540i
\(89\) 4.23637 + 7.33760i 0.449054 + 0.777784i 0.998325 0.0578602i \(-0.0184278\pi\)
−0.549271 + 0.835644i \(0.685094\pi\)
\(90\) −0.657967 5.13849i −0.0693558 0.541645i
\(91\) −7.87754 13.6443i −0.825791 1.43031i
\(92\) 4.18585 + 7.25010i 0.436405 + 0.755876i
\(93\) 2.50503 0.845393i 0.259760 0.0876632i
\(94\) 0.339804 + 0.588558i 0.0350481 + 0.0607051i
\(95\) −3.01640 + 0.861468i −0.309476 + 0.0883848i
\(96\) −2.84534 2.50424i −0.290402 0.255588i
\(97\) −6.16532 10.6786i −0.625993 1.08425i −0.988348 0.152212i \(-0.951360\pi\)
0.362355 0.932040i \(-0.381973\pi\)
\(98\) 4.80380 8.32042i 0.485257 0.840489i
\(99\) −2.62739 + 2.00131i −0.264063 + 0.201139i
\(100\) 8.42013 14.5841i 0.842013 1.45841i
\(101\) −15.0234 −1.49488 −0.747441 0.664328i \(-0.768718\pi\)
−0.747441 + 0.664328i \(0.768718\pi\)
\(102\) 5.12871 25.5470i 0.507818 2.52953i
\(103\) 0.947555 + 1.64121i 0.0933654 + 0.161714i 0.908925 0.416959i \(-0.136904\pi\)
−0.815560 + 0.578673i \(0.803571\pi\)
\(104\) −10.0128 + 17.3427i −0.981837 + 1.70059i
\(105\) 3.10403 + 2.73191i 0.302922 + 0.266607i
\(106\) −4.56914 + 7.91398i −0.443794 + 0.768674i
\(107\) −2.81175 −0.271822 −0.135911 0.990721i \(-0.543396\pi\)
−0.135911 + 0.990721i \(0.543396\pi\)
\(108\) 8.54167 + 17.5556i 0.821922 + 1.68929i
\(109\) −1.58360 + 2.74287i −0.151681 + 0.262719i −0.931846 0.362855i \(-0.881802\pi\)
0.780165 + 0.625574i \(0.215135\pi\)
\(110\) 1.90110 0.181263
\(111\) 1.25971 6.27484i 0.119567 0.595582i
\(112\) −8.63302 −0.815744
\(113\) 6.93071 + 12.0043i 0.651986 + 1.12927i 0.982640 + 0.185522i \(0.0593975\pi\)
−0.330654 + 0.943752i \(0.607269\pi\)
\(114\) 14.9136 10.2834i 1.39679 0.963128i
\(115\) 0.801772 1.38871i 0.0747656 0.129498i
\(116\) −11.1627 + 19.3344i −1.03643 + 1.79515i
\(117\) −11.3347 + 8.63370i −1.04789 + 0.798186i
\(118\) −16.0424 27.7863i −1.47682 2.55793i
\(119\) 10.3992 + 18.0119i 0.953290 + 1.65115i
\(120\) 1.03450 5.15302i 0.0944366 0.470404i
\(121\) 4.89398 + 8.47662i 0.444907 + 0.770602i
\(122\) 14.2671 + 24.7113i 1.29168 + 2.23726i
\(123\) −1.93677 + 9.64739i −0.174633 + 0.869876i
\(124\) 5.73515 0.515032
\(125\) −6.82403 −0.610360
\(126\) −22.0283 9.21607i −1.96244 0.821033i
\(127\) 4.62043 + 8.00282i 0.409997 + 0.710136i 0.994889 0.100976i \(-0.0321964\pi\)
−0.584892 + 0.811111i \(0.698863\pi\)
\(128\) −10.3556 17.9364i −0.915315 1.58537i
\(129\) 7.57360 2.55592i 0.666818 0.225037i
\(130\) 8.20142 0.719312
\(131\) −7.26622 −0.634853 −0.317426 0.948283i \(-0.602819\pi\)
−0.317426 + 0.948283i \(0.602819\pi\)
\(132\) −6.78843 + 2.29095i −0.590857 + 0.199401i
\(133\) −3.51300 + 14.0263i −0.304615 + 1.21623i
\(134\) 17.8660 1.54338
\(135\) 2.09410 3.09823i 0.180231 0.266653i
\(136\) 13.2179 22.8941i 1.13343 1.96316i
\(137\) 18.4460 1.57595 0.787973 0.615710i \(-0.211131\pi\)
0.787973 + 0.615710i \(0.211131\pi\)
\(138\) −1.82264 + 9.07886i −0.155153 + 0.772844i
\(139\) −6.60178 + 11.4346i −0.559956 + 0.969872i 0.437543 + 0.899197i \(0.355849\pi\)
−0.997499 + 0.0706749i \(0.977485\pi\)
\(140\) 4.48494 + 7.76815i 0.379047 + 0.656528i
\(141\) −0.0965607 + 0.480985i −0.00813188 + 0.0405062i
\(142\) 26.4643 2.22084
\(143\) −2.61440 4.52828i −0.218627 0.378674i
\(144\) 0.991615 + 7.74417i 0.0826346 + 0.645348i
\(145\) 4.27629 0.355127
\(146\) −25.0807 −2.07570
\(147\) 6.57122 2.21764i 0.541985 0.182908i
\(148\) 6.94166 12.0233i 0.570601 0.988309i
\(149\) −2.47022 −0.202369 −0.101184 0.994868i \(-0.532263\pi\)
−0.101184 + 0.994868i \(0.532263\pi\)
\(150\) 17.6492 5.95622i 1.44105 0.486323i
\(151\) 11.7861 20.4141i 0.959140 1.66128i 0.234542 0.972106i \(-0.424641\pi\)
0.724597 0.689173i \(-0.242026\pi\)
\(152\) 17.6723 5.04713i 1.43341 0.409376i
\(153\) 14.9629 11.3974i 1.20968 0.921423i
\(154\) 4.38142 7.58884i 0.353065 0.611526i
\(155\) −0.549265 0.951355i −0.0441181 0.0764147i
\(156\) −29.2855 + 9.88323i −2.34472 + 0.791291i
\(157\) 7.12368 0.568532 0.284266 0.958745i \(-0.408250\pi\)
0.284266 + 0.958745i \(0.408250\pi\)
\(158\) 14.6762 25.4199i 1.16758 2.02230i
\(159\) −6.25023 + 2.10931i −0.495675 + 0.167279i
\(160\) −0.787469 + 1.36394i −0.0622549 + 0.107829i
\(161\) −3.69565 6.40105i −0.291258 0.504473i
\(162\) −5.73695 + 20.8189i −0.450738 + 1.63568i
\(163\) 12.6404 0.990075 0.495038 0.868872i \(-0.335154\pi\)
0.495038 + 0.868872i \(0.335154\pi\)
\(164\) −10.6726 + 18.4855i −0.833390 + 1.44347i
\(165\) 1.03017 + 0.906667i 0.0801983 + 0.0705839i
\(166\) −24.2371 −1.88116
\(167\) −3.84765 + 6.66432i −0.297740 + 0.515701i −0.975619 0.219473i \(-0.929566\pi\)
0.677878 + 0.735174i \(0.262900\pi\)
\(168\) −18.1857 16.0056i −1.40306 1.23486i
\(169\) −4.77862 8.27682i −0.367587 0.636679i
\(170\) −10.8267 −0.830371
\(171\) 12.9857 + 1.54020i 0.993040 + 0.117782i
\(172\) 17.3394 1.32212
\(173\) −1.67994 2.90974i −0.127723 0.221223i 0.795071 0.606517i \(-0.207434\pi\)
−0.922794 + 0.385293i \(0.874100\pi\)
\(174\) −23.3979 + 7.89627i −1.77379 + 0.598614i
\(175\) −7.43405 + 12.8762i −0.561962 + 0.973346i
\(176\) −2.86513 −0.215967
\(177\) 4.55870 22.7077i 0.342653 1.70681i
\(178\) −10.1649 + 17.6060i −0.761888 + 1.31963i
\(179\) −17.3530 −1.29703 −0.648514 0.761203i \(-0.724609\pi\)
−0.648514 + 0.761203i \(0.724609\pi\)
\(180\) 6.45319 4.91545i 0.480992 0.366376i
\(181\) −5.84752 10.1282i −0.434643 0.752824i 0.562623 0.826713i \(-0.309792\pi\)
−0.997266 + 0.0738895i \(0.976459\pi\)
\(182\) 18.9016 32.7385i 1.40108 2.42674i
\(183\) −4.05422 + 20.1947i −0.299696 + 1.49284i
\(184\) −4.69738 + 8.13610i −0.346296 + 0.599801i
\(185\) −2.65926 −0.195513
\(186\) 4.76202 + 4.19114i 0.349168 + 0.307309i
\(187\) 3.45128 + 5.97779i 0.252383 + 0.437139i
\(188\) −0.532098 + 0.921621i −0.0388072 + 0.0672161i
\(189\) −7.54135 15.4996i −0.548553 1.12743i
\(190\) −5.40892 5.23446i −0.392404 0.379748i
\(191\) 1.22344 2.11906i 0.0885251 0.153330i −0.818363 0.574702i \(-0.805118\pi\)
0.906888 + 0.421372i \(0.138451\pi\)
\(192\) 3.56458 17.7557i 0.257251 1.28141i
\(193\) 12.3613 0.889787 0.444894 0.895583i \(-0.353241\pi\)
0.444894 + 0.895583i \(0.353241\pi\)
\(194\) 14.7932 25.6226i 1.06209 1.83960i
\(195\) 4.44417 + 3.91139i 0.318254 + 0.280101i
\(196\) 15.0445 1.07461
\(197\) −5.54586 −0.395126 −0.197563 0.980290i \(-0.563303\pi\)
−0.197563 + 0.980290i \(0.563303\pi\)
\(198\) −7.31076 3.05863i −0.519553 0.217368i
\(199\) 9.82630 + 17.0196i 0.696568 + 1.20649i 0.969649 + 0.244500i \(0.0786237\pi\)
−0.273082 + 0.961991i \(0.588043\pi\)
\(200\) 18.8982 1.33631
\(201\) 9.68117 + 8.52057i 0.682857 + 0.600995i
\(202\) −18.0238 31.2181i −1.26815 2.19650i
\(203\) 9.85546 17.0702i 0.691717 1.19809i
\(204\) 38.6599 13.0469i 2.70674 0.913464i
\(205\) 4.08853 0.285556
\(206\) −2.27359 + 3.93797i −0.158409 + 0.274372i
\(207\) −5.31751 + 4.05039i −0.369592 + 0.281521i
\(208\) −12.3603 −0.857031
\(209\) −1.16589 + 4.65506i −0.0806466 + 0.321997i
\(210\) −1.95287 + 9.72757i −0.134761 + 0.671266i
\(211\) 1.34447 0.0925570 0.0462785 0.998929i \(-0.485264\pi\)
0.0462785 + 0.998929i \(0.485264\pi\)
\(212\) −14.3096 −0.982787
\(213\) 14.3404 + 12.6213i 0.982591 + 0.864796i
\(214\) −3.37330 5.84272i −0.230594 0.399400i
\(215\) −1.66062 2.87629i −0.113254 0.196161i
\(216\) −12.2688 + 18.1518i −0.834785 + 1.23507i
\(217\) −5.06351 −0.343733
\(218\) −7.59946 −0.514700
\(219\) −13.5907 11.9614i −0.918374 0.808278i
\(220\) 1.48846 + 2.57810i 0.100352 + 0.173815i
\(221\) 14.8889 + 25.7884i 1.00154 + 1.73472i
\(222\) 14.5502 4.91038i 0.976546 0.329563i
\(223\) 11.0676 + 19.1696i 0.741139 + 1.28369i 0.951977 + 0.306170i \(0.0990474\pi\)
−0.210838 + 0.977521i \(0.567619\pi\)
\(224\) 3.62972 + 6.28686i 0.242521 + 0.420058i
\(225\) 12.4043 + 5.18965i 0.826956 + 0.345977i
\(226\) −16.6297 + 28.8036i −1.10619 + 1.91598i
\(227\) −2.63704 + 4.56749i −0.175027 + 0.303155i −0.940170 0.340704i \(-0.889334\pi\)
0.765144 + 0.643859i \(0.222668\pi\)
\(228\) 25.6220 + 12.1731i 1.69686 + 0.806180i
\(229\) −8.36533 14.4892i −0.552797 0.957472i −0.998071 0.0620777i \(-0.980227\pi\)
0.445275 0.895394i \(-0.353106\pi\)
\(230\) 3.84759 0.253703
\(231\) 5.99344 2.02265i 0.394339 0.133081i
\(232\) −25.0537 −1.64486
\(233\) 0.652119 1.12950i 0.0427217 0.0739962i −0.843874 0.536542i \(-0.819730\pi\)
0.886596 + 0.462545i \(0.153064\pi\)
\(234\) −31.5389 13.1951i −2.06176 0.862588i
\(235\) 0.203840 0.0132970
\(236\) 25.1207 43.5104i 1.63522 2.83229i
\(237\) 20.0759 6.77517i 1.30407 0.440095i
\(238\) −24.9520 + 43.2182i −1.61740 + 2.80142i
\(239\) −9.60234 16.6317i −0.621124 1.07582i −0.989277 0.146053i \(-0.953343\pi\)
0.368153 0.929765i \(-0.379990\pi\)
\(240\) 3.07371 1.03731i 0.198407 0.0669580i
\(241\) 1.79014 0.115313 0.0576566 0.998336i \(-0.481637\pi\)
0.0576566 + 0.998336i \(0.481637\pi\)
\(242\) −11.7427 + 20.3390i −0.754853 + 1.30744i
\(243\) −13.0376 + 8.54524i −0.836362 + 0.548177i
\(244\) −22.3408 + 38.6953i −1.43022 + 2.47722i
\(245\) −1.44084 2.49560i −0.0920517 0.159438i
\(246\) −22.3705 + 7.54957i −1.42629 + 0.481343i
\(247\) −5.02971 + 20.0821i −0.320033 + 1.27779i
\(248\) 3.21801 + 5.57375i 0.204344 + 0.353934i
\(249\) −13.1335 11.5591i −0.832304 0.732526i
\(250\) −8.18689 14.1801i −0.517784 0.896829i
\(251\) −3.17364 5.49691i −0.200319 0.346962i 0.748312 0.663346i \(-0.230864\pi\)
−0.948631 + 0.316384i \(0.897531\pi\)
\(252\) −4.74905 37.0884i −0.299162 2.33635i
\(253\) −1.22651 2.12438i −0.0771102 0.133559i
\(254\) −11.0864 + 19.2022i −0.695622 + 1.20485i
\(255\) −5.86676 5.16344i −0.367391 0.323347i
\(256\) 14.3917 24.9272i 0.899483 1.55795i
\(257\) −11.9228 + 20.6510i −0.743727 + 1.28817i 0.207060 + 0.978328i \(0.433610\pi\)
−0.950787 + 0.309845i \(0.899723\pi\)
\(258\) 14.3973 + 12.6713i 0.896336 + 0.788881i
\(259\) −6.12872 + 10.6153i −0.380820 + 0.659600i
\(260\) 6.42129 + 11.1220i 0.398231 + 0.689757i
\(261\) −16.4447 6.88002i −1.01790 0.425862i
\(262\) −8.71739 15.0990i −0.538562 0.932817i
\(263\) −2.26524 3.92351i −0.139681 0.241934i 0.787695 0.616065i \(-0.211274\pi\)
−0.927376 + 0.374131i \(0.877941\pi\)
\(264\) −6.03548 5.31194i −0.371458 0.326927i
\(265\) 1.37045 + 2.37370i 0.0841864 + 0.145815i
\(266\) −33.3608 + 9.52767i −2.04548 + 0.584179i
\(267\) −13.9047 + 4.69254i −0.850956 + 0.287179i
\(268\) 13.9881 + 24.2281i 0.854460 + 1.47997i
\(269\) 2.41294 4.17933i 0.147119 0.254818i −0.783042 0.621968i \(-0.786333\pi\)
0.930162 + 0.367150i \(0.119667\pi\)
\(270\) 8.95034 + 0.634465i 0.544700 + 0.0386123i
\(271\) −1.69899 + 2.94273i −0.103206 + 0.178758i −0.913004 0.407951i \(-0.866243\pi\)
0.809798 + 0.586709i \(0.199577\pi\)
\(272\) 16.3168 0.989353
\(273\) 25.8559 8.72580i 1.56487 0.528110i
\(274\) 22.1299 + 38.3301i 1.33692 + 2.31561i
\(275\) −2.46722 + 4.27335i −0.148779 + 0.257692i
\(276\) −13.7389 + 4.63659i −0.826986 + 0.279090i
\(277\) −7.98414 + 13.8289i −0.479720 + 0.830900i −0.999729 0.0232607i \(-0.992595\pi\)
0.520009 + 0.854161i \(0.325929\pi\)
\(278\) −31.6810 −1.90010
\(279\) 0.581610 + 4.54217i 0.0348201 + 0.271933i
\(280\) −5.03302 + 8.71745i −0.300781 + 0.520967i
\(281\) 7.53948 0.449768 0.224884 0.974386i \(-0.427800\pi\)
0.224884 + 0.974386i \(0.427800\pi\)
\(282\) −1.11532 + 0.376395i −0.0664161 + 0.0224140i
\(283\) 10.3238 0.613689 0.306844 0.951760i \(-0.400727\pi\)
0.306844 + 0.951760i \(0.400727\pi\)
\(284\) 20.7202 + 35.8885i 1.22952 + 2.12959i
\(285\) −0.434574 5.41604i −0.0257419 0.320819i
\(286\) 6.27307 10.8653i 0.370934 0.642477i
\(287\) 9.42273 16.3207i 0.556206 0.963378i
\(288\) 5.22265 3.97813i 0.307747 0.234414i
\(289\) −11.1549 19.3209i −0.656172 1.13652i
\(290\) 5.13033 + 8.88599i 0.301263 + 0.521803i
\(291\) 20.2360 6.82921i 1.18626 0.400335i
\(292\) −19.6369 34.0121i −1.14916 1.99041i
\(293\) −3.88571 6.73025i −0.227006 0.393186i 0.729914 0.683539i \(-0.239560\pi\)
−0.956919 + 0.290354i \(0.906227\pi\)
\(294\) 12.4918 + 10.9942i 0.728535 + 0.641197i
\(295\) −9.62343 −0.560298
\(296\) 15.5799 0.905565
\(297\) −2.50283 5.14403i −0.145229 0.298487i
\(298\) −2.96356 5.13304i −0.171674 0.297349i
\(299\) −5.29122 9.16466i −0.305999 0.530006i
\(300\) 21.8957 + 19.2708i 1.26415 + 1.11260i
\(301\) −15.3088 −0.882384
\(302\) 56.5598 3.25465
\(303\) 5.12174 25.5122i 0.294236 1.46564i
\(304\) 8.15173 + 7.88880i 0.467534 + 0.452454i
\(305\) 8.55846 0.490056
\(306\) 41.6346 + 17.4188i 2.38009 + 0.995768i
\(307\) −4.92022 + 8.52206i −0.280812 + 0.486380i −0.971585 0.236692i \(-0.923937\pi\)
0.690773 + 0.723071i \(0.257270\pi\)
\(308\) 13.7217 0.781866
\(309\) −3.11009 + 1.04959i −0.176927 + 0.0597090i
\(310\) 1.31792 2.28271i 0.0748530 0.129649i
\(311\) −12.6580 21.9243i −0.717769 1.24321i −0.961882 0.273466i \(-0.911830\pi\)
0.244112 0.969747i \(-0.421503\pi\)
\(312\) −26.0373 22.9159i −1.47407 1.29736i
\(313\) −20.7713 −1.17406 −0.587030 0.809565i \(-0.699703\pi\)
−0.587030 + 0.809565i \(0.699703\pi\)
\(314\) 8.54638 + 14.8028i 0.482300 + 0.835369i
\(315\) −5.69746 + 4.33980i −0.321015 + 0.244520i
\(316\) 45.9628 2.58561
\(317\) 8.78411 0.493365 0.246682 0.969096i \(-0.420660\pi\)
0.246682 + 0.969096i \(0.420660\pi\)
\(318\) −11.8816 10.4572i −0.666285 0.586410i
\(319\) 3.27083 5.66525i 0.183132 0.317193i
\(320\) −7.52483 −0.420651
\(321\) 0.958576 4.77483i 0.0535025 0.266505i
\(322\) 8.86744 15.3589i 0.494163 0.855915i
\(323\) 6.63974 26.5104i 0.369445 1.47508i
\(324\) −32.7243 + 8.52018i −1.81802 + 0.473343i
\(325\) −10.6437 + 18.4354i −0.590404 + 1.02261i
\(326\) 15.1649 + 26.2664i 0.839907 + 1.45476i
\(327\) −4.11798 3.62431i −0.227725 0.200425i
\(328\) −23.9537 −1.32262
\(329\) 0.469784 0.813690i 0.0259000 0.0448602i
\(330\) −0.648119 + 3.22839i −0.0356778 + 0.177717i
\(331\) 9.59192 16.6137i 0.527219 0.913171i −0.472277 0.881450i \(-0.656568\pi\)
0.999497 0.0317208i \(-0.0100987\pi\)
\(332\) −18.9764 32.8680i −1.04146 1.80387i
\(333\) 10.2263 + 4.27841i 0.560397 + 0.234456i
\(334\) −18.4643 −1.01032
\(335\) 2.67933 4.64074i 0.146388 0.253551i
\(336\) 2.94315 14.6603i 0.160562 0.799786i
\(337\) 2.04230 0.111251 0.0556257 0.998452i \(-0.482285\pi\)
0.0556257 + 0.998452i \(0.482285\pi\)
\(338\) 11.4660 19.8596i 0.623666 1.08022i
\(339\) −22.7482 + 7.67702i −1.23551 + 0.416958i
\(340\) −8.47676 14.6822i −0.459717 0.796253i
\(341\) −1.68048 −0.0910031
\(342\) 12.3786 + 28.8316i 0.669359 + 1.55903i
\(343\) 9.93808 0.536606
\(344\) 9.72918 + 16.8514i 0.524562 + 0.908569i
\(345\) 2.08492 + 1.83498i 0.112249 + 0.0987920i
\(346\) 4.03089 6.98171i 0.216702 0.375339i
\(347\) −9.72894 −0.522277 −0.261138 0.965301i \(-0.584098\pi\)
−0.261138 + 0.965301i \(0.584098\pi\)
\(348\) −29.0275 25.5476i −1.55604 1.36950i
\(349\) 7.61899 13.1965i 0.407835 0.706391i −0.586812 0.809723i \(-0.699617\pi\)
0.994647 + 0.103332i \(0.0329505\pi\)
\(350\) −35.6750 −1.90691
\(351\) −10.7973 22.1915i −0.576317 1.18450i
\(352\) 1.20463 + 2.08648i 0.0642071 + 0.111210i
\(353\) −13.3156 + 23.0632i −0.708716 + 1.22753i 0.256618 + 0.966513i \(0.417392\pi\)
−0.965334 + 0.261019i \(0.915941\pi\)
\(354\) 52.6549 17.7699i 2.79858 0.944458i
\(355\) 3.96882 6.87420i 0.210643 0.364845i
\(356\) −31.8342 −1.68721
\(357\) −34.1325 + 11.5190i −1.80648 + 0.609648i
\(358\) −20.8187 36.0590i −1.10030 1.90578i
\(359\) −5.98961 + 10.3743i −0.316119 + 0.547535i −0.979675 0.200592i \(-0.935713\pi\)
0.663555 + 0.748127i \(0.269047\pi\)
\(360\) 8.39802 + 3.51351i 0.442614 + 0.185178i
\(361\) 16.1343 10.0342i 0.849173 0.528114i
\(362\) 14.0307 24.3019i 0.737438 1.27728i
\(363\) −16.0632 + 5.42097i −0.843098 + 0.284527i
\(364\) 59.1959 3.10271
\(365\) −3.76132 + 6.51480i −0.196877 + 0.341000i
\(366\) −46.8278 + 15.8034i −2.44773 + 0.826056i
\(367\) −1.60685 −0.0838768 −0.0419384 0.999120i \(-0.513353\pi\)
−0.0419384 + 0.999120i \(0.513353\pi\)
\(368\) −5.79866 −0.302276
\(369\) −15.7226 6.57794i −0.818487 0.342434i
\(370\) −3.19035 5.52585i −0.165858 0.287275i
\(371\) 12.6338 0.655914
\(372\) −1.95521 + 9.73925i −0.101373 + 0.504957i
\(373\) 4.06344 + 7.03808i 0.210397 + 0.364418i 0.951839 0.306599i \(-0.0991910\pi\)
−0.741442 + 0.671017i \(0.765858\pi\)
\(374\) −8.28110 + 14.3433i −0.428205 + 0.741673i
\(375\) 2.32643 11.5884i 0.120137 0.598420i
\(376\) −1.19425 −0.0615885
\(377\) 14.1105 24.4401i 0.726727 1.25873i
\(378\) 23.1603 34.2658i 1.19124 1.76244i
\(379\) 33.1062 1.70055 0.850277 0.526336i \(-0.176435\pi\)
0.850277 + 0.526336i \(0.176435\pi\)
\(380\) 2.86358 11.4334i 0.146899 0.586520i
\(381\) −15.1653 + 5.11797i −0.776943 + 0.262201i
\(382\) 5.87112 0.300393
\(383\) 19.6974 1.00649 0.503246 0.864143i \(-0.332139\pi\)
0.503246 + 0.864143i \(0.332139\pi\)
\(384\) 33.9895 11.4707i 1.73452 0.585362i
\(385\) −1.31415 2.27618i −0.0669753 0.116005i
\(386\) 14.8301 + 25.6864i 0.754830 + 1.30740i
\(387\) 1.75841 + 13.7326i 0.0893852 + 0.698068i
\(388\) 46.3294 2.35202
\(389\) −15.9471 −0.808552 −0.404276 0.914637i \(-0.632477\pi\)
−0.404276 + 0.914637i \(0.632477\pi\)
\(390\) −2.79601 + 13.9274i −0.141581 + 0.705241i
\(391\) 6.98495 + 12.0983i 0.353244 + 0.611837i
\(392\) 8.44150 + 14.6211i 0.426360 + 0.738478i
\(393\) 2.47718 12.3393i 0.124957 0.622434i
\(394\) −6.65345 11.5241i −0.335196 0.580577i
\(395\) −4.40194 7.62438i −0.221486 0.383624i
\(396\) −1.57612 12.3089i −0.0792028 0.618547i
\(397\) −12.0149 + 20.8105i −0.603012 + 1.04445i 0.389351 + 0.921090i \(0.372699\pi\)
−0.992362 + 0.123357i \(0.960634\pi\)
\(398\) −23.5775 + 40.8374i −1.18183 + 2.04699i
\(399\) −22.6214 10.7475i −1.13249 0.538047i
\(400\) 5.83221 + 10.1017i 0.291611 + 0.505084i
\(401\) 3.78271 0.188900 0.0944498 0.995530i \(-0.469891\pi\)
0.0944498 + 0.995530i \(0.469891\pi\)
\(402\) −6.09082 + 30.3394i −0.303783 + 1.51319i
\(403\) −7.24965 −0.361131
\(404\) 28.2234 48.8843i 1.40416 2.43208i
\(405\) 4.54741 + 4.61237i 0.225962 + 0.229190i
\(406\) 47.2949 2.34721
\(407\) −2.03400 + 3.52300i −0.100822 + 0.174628i
\(408\) 34.3719 + 30.2513i 1.70166 + 1.49766i
\(409\) 13.5934 23.5444i 0.672148 1.16420i −0.305145 0.952306i \(-0.598705\pi\)
0.977294 0.211889i \(-0.0679617\pi\)
\(410\) 4.90507 + 8.49583i 0.242244 + 0.419579i
\(411\) −6.28856 + 31.3244i −0.310192 + 1.54512i
\(412\) −7.12041 −0.350798
\(413\) −22.1789 + 38.4149i −1.09135 + 1.89027i
\(414\) −14.7961 6.19029i −0.727187 0.304236i
\(415\) −3.63480 + 6.29566i −0.178425 + 0.309042i
\(416\) 5.19683 + 9.00117i 0.254795 + 0.441319i
\(417\) −17.1673 15.1092i −0.840684 0.739901i
\(418\) −11.0718 + 3.16205i −0.541539 + 0.154661i
\(419\) 2.02350 + 3.50481i 0.0988547 + 0.171221i 0.911211 0.411940i \(-0.135149\pi\)
−0.812356 + 0.583162i \(0.801815\pi\)
\(420\) −14.7206 + 4.96789i −0.718292 + 0.242408i
\(421\) 3.32231 + 5.75442i 0.161920 + 0.280453i 0.935557 0.353175i \(-0.114898\pi\)
−0.773637 + 0.633629i \(0.781565\pi\)
\(422\) 1.61298 + 2.79376i 0.0785185 + 0.135998i
\(423\) −0.783874 0.327953i −0.0381133 0.0159456i
\(424\) −8.02915 13.9069i −0.389930 0.675379i
\(425\) 14.0507 24.3366i 0.681560 1.18050i
\(426\) −9.02216 + 44.9409i −0.437125 + 2.17739i
\(427\) 19.7244 34.1637i 0.954533 1.65330i
\(428\) 5.28224 9.14910i 0.255326 0.442238i
\(429\) 8.58107 2.89592i 0.414298 0.139817i
\(430\) 3.98455 6.90144i 0.192152 0.332817i
\(431\) 8.57343 + 14.8496i 0.412967 + 0.715281i 0.995213 0.0977326i \(-0.0311590\pi\)
−0.582245 + 0.813013i \(0.697826\pi\)
\(432\) −13.4890 0.956196i −0.648988 0.0460050i
\(433\) −8.02098 13.8927i −0.385464 0.667643i 0.606370 0.795183i \(-0.292625\pi\)
−0.991833 + 0.127540i \(0.959292\pi\)
\(434\) −6.07476 10.5218i −0.291598 0.505062i
\(435\) −1.45786 + 7.26186i −0.0698992 + 0.348180i
\(436\) −5.94998 10.3057i −0.284952 0.493552i
\(437\) −2.35962 + 9.42124i −0.112876 + 0.450679i
\(438\) 8.55047 42.5913i 0.408557 2.03509i
\(439\) −3.47970 6.02702i −0.166077 0.287654i 0.770960 0.636883i \(-0.219777\pi\)
−0.937037 + 0.349229i \(0.886443\pi\)
\(440\) −1.67036 + 2.89315i −0.0796314 + 0.137926i
\(441\) 1.52568 + 11.9151i 0.0726516 + 0.567384i
\(442\) −35.7249 + 61.8774i −1.69926 + 2.94321i
\(443\) 2.43626 0.115750 0.0578751 0.998324i \(-0.481567\pi\)
0.0578751 + 0.998324i \(0.481567\pi\)
\(444\) 18.0511 + 15.8871i 0.856665 + 0.753966i
\(445\) 3.04882 + 5.28071i 0.144528 + 0.250330i
\(446\) −26.5558 + 45.9961i −1.25746 + 2.17798i
\(447\) 0.842143 4.19485i 0.0398320 0.198410i
\(448\) −17.3423 + 30.0377i −0.819345 + 1.41915i
\(449\) 25.8086 1.21798 0.608991 0.793177i \(-0.291575\pi\)
0.608991 + 0.793177i \(0.291575\pi\)
\(450\) 4.09773 + 32.0019i 0.193169 + 1.50858i
\(451\) 3.12722 5.41651i 0.147255 0.255053i
\(452\) −52.0809 −2.44968
\(453\) 30.6485 + 26.9743i 1.43999 + 1.26736i
\(454\) −12.6548 −0.593918
\(455\) −5.66929 9.81950i −0.265781 0.460345i
\(456\) 2.54606 + 31.7312i 0.119230 + 1.48595i
\(457\) 1.49509 2.58957i 0.0699372 0.121135i −0.828936 0.559343i \(-0.811053\pi\)
0.898873 + 0.438208i \(0.144387\pi\)
\(458\) 20.0720 34.7657i 0.937903 1.62450i
\(459\) 14.2535 + 29.2951i 0.665298 + 1.36738i
\(460\) 3.01246 + 5.21774i 0.140457 + 0.243278i
\(461\) 7.06982 + 12.2453i 0.329274 + 0.570320i 0.982368 0.186957i \(-0.0598625\pi\)
−0.653094 + 0.757277i \(0.726529\pi\)
\(462\) 11.3934 + 10.0276i 0.530070 + 0.466524i
\(463\) −13.8565 24.0001i −0.643964 1.11538i −0.984540 0.175161i \(-0.943955\pi\)
0.340576 0.940217i \(-0.389378\pi\)
\(464\) −7.73187 13.3920i −0.358943 0.621707i
\(465\) 1.80282 0.608411i 0.0836036 0.0282144i
\(466\) 3.12943 0.144968
\(467\) 27.3728 1.26666 0.633330 0.773882i \(-0.281687\pi\)
0.633330 + 0.773882i \(0.281687\pi\)
\(468\) −6.79942 53.1011i −0.314303 2.45460i
\(469\) −12.3500 21.3908i −0.570269 0.987734i
\(470\) 0.244550 + 0.423572i 0.0112802 + 0.0195379i
\(471\) −2.42859 + 12.0972i −0.111904 + 0.557410i
\(472\) 56.3813 2.59516
\(473\) −5.08069 −0.233610
\(474\) 38.1639 + 33.5887i 1.75293 + 1.54278i
\(475\) 18.7858 5.36512i 0.861949 0.246168i
\(476\) −78.1446 −3.58175
\(477\) −1.45116 11.3330i −0.0664439 0.518904i
\(478\) 23.0401 39.9067i 1.05383 1.82529i
\(479\) 32.3242 1.47693 0.738466 0.674291i \(-0.235551\pi\)
0.738466 + 0.674291i \(0.235551\pi\)
\(480\) −2.04773 1.80225i −0.0934657 0.0822609i
\(481\) −8.77476 + 15.1983i −0.400095 + 0.692984i
\(482\) 2.14766 + 3.71985i 0.0978232 + 0.169435i
\(483\) 12.1300 4.09360i 0.551932 0.186265i
\(484\) −36.7759 −1.67163
\(485\) −4.43704 7.68519i −0.201476 0.348966i
\(486\) −33.3981 16.8398i −1.51497 0.763870i
\(487\) −20.0494 −0.908523 −0.454262 0.890868i \(-0.650097\pi\)
−0.454262 + 0.890868i \(0.650097\pi\)
\(488\) −50.1418 −2.26981
\(489\) −4.30935 + 21.4656i −0.194875 + 0.970707i
\(490\) 3.45719 5.98802i 0.156180 0.270511i
\(491\) −4.69564 −0.211911 −0.105956 0.994371i \(-0.533790\pi\)
−0.105956 + 0.994371i \(0.533790\pi\)
\(492\) −27.7530 24.4259i −1.25120 1.10120i
\(493\) −18.6273 + 32.2634i −0.838931 + 1.45307i
\(494\) −47.7641 + 13.6412i −2.14901 + 0.613746i
\(495\) −1.89088 + 1.44030i −0.0849885 + 0.0647365i
\(496\) −1.98623 + 3.44025i −0.0891843 + 0.154472i
\(497\) −18.2937 31.6856i −0.820583 1.42129i
\(498\) 8.26285 41.1586i 0.370267 1.84436i
\(499\) 21.1656 0.947503 0.473752 0.880658i \(-0.342899\pi\)
0.473752 + 0.880658i \(0.342899\pi\)
\(500\) 12.8198 22.2046i 0.573320 0.993019i
\(501\) −10.0054 8.80594i −0.447009 0.393421i
\(502\) 7.61493 13.1895i 0.339871 0.588674i
\(503\) 12.8870 + 22.3210i 0.574604 + 0.995243i 0.996085 + 0.0884059i \(0.0281773\pi\)
−0.421481 + 0.906837i \(0.638489\pi\)
\(504\) 33.3800 25.4258i 1.48686 1.13256i
\(505\) −10.8120 −0.481128
\(506\) 2.94293 5.09730i 0.130829 0.226603i
\(507\) 15.6846 5.29319i 0.696575 0.235079i
\(508\) −34.7203 −1.54046
\(509\) 13.5801 23.5215i 0.601929 1.04257i −0.390599 0.920561i \(-0.627732\pi\)
0.992529 0.122011i \(-0.0389345\pi\)
\(510\) 3.69102 18.3856i 0.163441 0.814127i
\(511\) 17.3372 + 30.0290i 0.766954 + 1.32840i
\(512\) 27.6414 1.22159
\(513\) −7.04256 + 21.5268i −0.310937 + 0.950431i
\(514\) −57.2161 −2.52369
\(515\) 0.681934 + 1.18115i 0.0300496 + 0.0520475i
\(516\) −5.91131 + 29.4452i −0.260231 + 1.29625i
\(517\) 0.155912 0.270048i 0.00685701 0.0118767i
\(518\) −29.4109 −1.29224
\(519\) 5.51394 1.86084i 0.242035 0.0816816i
\(520\) −7.20600 + 12.4812i −0.316004 + 0.547335i
\(521\) 21.0677 0.922994 0.461497 0.887142i \(-0.347313\pi\)
0.461497 + 0.887142i \(0.347313\pi\)
\(522\) −5.43244 42.4255i −0.237771 1.85691i
\(523\) 4.13511 + 7.16222i 0.180816 + 0.313182i 0.942159 0.335167i \(-0.108793\pi\)
−0.761343 + 0.648350i \(0.775460\pi\)
\(524\) 13.6505 23.6434i 0.596326 1.03287i
\(525\) −19.3315 17.0140i −0.843695 0.742551i
\(526\) 5.43528 9.41418i 0.236989 0.410478i
\(527\) 9.57028 0.416888
\(528\) 0.976774 4.86547i 0.0425086 0.211743i
\(529\) 9.01769 + 15.6191i 0.392074 + 0.679091i
\(530\) −3.28831 + 5.69552i −0.142835 + 0.247397i
\(531\) 37.0073 + 15.4829i 1.60598 + 0.671900i
\(532\) −39.0403 37.7811i −1.69261 1.63802i
\(533\) 13.4909 23.3670i 0.584358 1.01214i
\(534\) −26.4327 23.2639i −1.14385 1.00673i
\(535\) −2.02356 −0.0874859
\(536\) −15.6975 + 27.1889i −0.678030 + 1.17438i
\(537\) 5.91596 29.4684i 0.255293 1.27165i
\(538\) 11.5793 0.499221
\(539\) −4.40825 −0.189877
\(540\) 6.14725 + 12.6344i 0.264536 + 0.543697i
\(541\) −13.5852 23.5303i −0.584074 1.01165i −0.994990 0.0999732i \(-0.968124\pi\)
0.410916 0.911673i \(-0.365209\pi\)
\(542\) −8.15320 −0.350210
\(543\) 19.1929 6.47719i 0.823647 0.277963i
\(544\) −6.86035 11.8825i −0.294135 0.509457i
\(545\) −1.13968 + 1.97398i −0.0488185 + 0.0845562i
\(546\) 49.1516 + 43.2592i 2.10350 + 1.85132i
\(547\) 18.8534 0.806113 0.403056 0.915175i \(-0.367948\pi\)
0.403056 + 0.915175i \(0.367948\pi\)
\(548\) −34.6531 + 60.0210i −1.48031 + 2.56397i
\(549\) −32.9119 13.7695i −1.40464 0.587667i
\(550\) −11.8398 −0.504852
\(551\) −24.9046 + 7.11263i −1.06097 + 0.303008i
\(552\) −12.2151 10.7507i −0.519907 0.457580i
\(553\) −40.5801 −1.72564
\(554\) −38.3147 −1.62784
\(555\) 0.906588 4.51587i 0.0384825 0.191688i
\(556\) −24.8046 42.9628i −1.05195 1.82203i
\(557\) −4.19140 7.25972i −0.177595 0.307604i 0.763461 0.645854i \(-0.223498\pi\)
−0.941056 + 0.338250i \(0.890165\pi\)
\(558\) −8.74072 + 6.65788i −0.370024 + 0.281850i
\(559\) −21.9183 −0.927044
\(560\) −6.21300 −0.262547
\(561\) −11.3279 + 3.82292i −0.478264 + 0.161404i
\(562\) 9.04522 + 15.6668i 0.381550 + 0.660863i
\(563\) −0.809051 1.40132i −0.0340974 0.0590585i 0.848473 0.529239i \(-0.177522\pi\)
−0.882571 + 0.470180i \(0.844189\pi\)
\(564\) −1.38367 1.21779i −0.0582628 0.0512782i
\(565\) 4.98788 + 8.63926i 0.209842 + 0.363457i
\(566\) 12.3857 + 21.4526i 0.520608 + 0.901720i
\(567\) 28.8920 7.52238i 1.21335 0.315910i
\(568\) −23.2523 + 40.2742i −0.975646 + 1.68987i
\(569\) 5.07595 8.79180i 0.212795 0.368571i −0.739793 0.672834i \(-0.765077\pi\)
0.952588 + 0.304263i \(0.0984101\pi\)
\(570\) 10.7330 7.40073i 0.449555 0.309983i
\(571\) 6.06347 + 10.5022i 0.253748 + 0.439505i 0.964555 0.263883i \(-0.0850031\pi\)
−0.710806 + 0.703388i \(0.751670\pi\)
\(572\) 19.6460 0.821439
\(573\) 3.18143 + 2.80004i 0.132906 + 0.116973i
\(574\) 45.2184 1.88738
\(575\) −4.99334 + 8.64871i −0.208236 + 0.360676i
\(576\) 28.9370 + 12.1065i 1.20571 + 0.504438i
\(577\) 42.8498 1.78386 0.891931 0.452171i \(-0.149350\pi\)
0.891931 + 0.452171i \(0.149350\pi\)
\(578\) 26.7655 46.3591i 1.11330 1.92829i
\(579\) −4.21419 + 20.9916i −0.175136 + 0.872381i
\(580\) −8.03357 + 13.9145i −0.333576 + 0.577770i
\(581\) 16.7541 + 29.0189i 0.695075 + 1.20391i
\(582\) 38.4683 + 33.8566i 1.59456 + 1.40340i
\(583\) 4.19291 0.173653
\(584\) 22.0366 38.1686i 0.911883 1.57943i
\(585\) −8.15730 + 6.21349i −0.337263 + 0.256896i
\(586\) 9.32349 16.1488i 0.385150 0.667099i
\(587\) −5.80566 10.0557i −0.239625 0.415043i 0.720982 0.692954i \(-0.243691\pi\)
−0.960607 + 0.277911i \(0.910358\pi\)
\(588\) −5.12894 + 25.5481i −0.211514 + 1.05359i
\(589\) 4.78122 + 4.62700i 0.197007 + 0.190652i
\(590\) −11.5454 19.9972i −0.475315 0.823270i
\(591\) 1.89068 9.41781i 0.0777723 0.387397i
\(592\) 4.80814 + 8.32795i 0.197613 + 0.342277i
\(593\) 3.60159 + 6.23813i 0.147899 + 0.256169i 0.930451 0.366417i \(-0.119415\pi\)
−0.782551 + 0.622586i \(0.786082\pi\)
\(594\) 7.68644 11.3722i 0.315379 0.466605i
\(595\) 7.48405 + 12.9628i 0.306816 + 0.531421i
\(596\) 4.64063 8.03781i 0.190088 0.329241i
\(597\) −32.2522 + 10.8844i −1.31999 + 0.445469i
\(598\) 12.6959 21.9899i 0.519174 0.899236i
\(599\) 12.5193 21.6841i 0.511525 0.885987i −0.488386 0.872628i \(-0.662414\pi\)
0.999911 0.0133592i \(-0.00425249\pi\)
\(600\) −6.44274 + 32.0924i −0.263024 + 1.31017i
\(601\) −17.0803 + 29.5840i −0.696720 + 1.20675i 0.272877 + 0.962049i \(0.412025\pi\)
−0.969597 + 0.244706i \(0.921309\pi\)
\(602\) −18.3662 31.8111i −0.748549 1.29653i
\(603\) −17.7698 + 13.5354i −0.723644 + 0.551206i
\(604\) 44.2834 + 76.7011i 1.80187 + 3.12093i
\(605\) 3.52209 + 6.10044i 0.143193 + 0.248018i
\(606\) 59.1582 19.9646i 2.40314 0.811006i
\(607\) −0.908746 1.57399i −0.0368849 0.0638865i 0.846994 0.531603i \(-0.178410\pi\)
−0.883879 + 0.467717i \(0.845077\pi\)
\(608\) 2.31753 9.25318i 0.0939882 0.375266i
\(609\) 25.6281 + 22.5557i 1.03850 + 0.914005i
\(610\) 10.2677 + 17.7842i 0.415727 + 0.720060i
\(611\) 0.672611 1.16500i 0.0272109 0.0471307i
\(612\) 8.97593 + 70.0989i 0.362831 + 2.83358i
\(613\) −0.633570 + 1.09737i −0.0255896 + 0.0443225i −0.878537 0.477675i \(-0.841480\pi\)
0.852947 + 0.521998i \(0.174813\pi\)
\(614\) −23.6114 −0.952879
\(615\) −1.39385 + 6.94302i −0.0562056 + 0.279970i
\(616\) 7.69928 + 13.3355i 0.310213 + 0.537304i
\(617\) −15.6681 + 27.1379i −0.630774 + 1.09253i 0.356620 + 0.934249i \(0.383929\pi\)
−0.987394 + 0.158282i \(0.949404\pi\)
\(618\) −5.91223 5.20346i −0.237825 0.209314i
\(619\) 6.71549 11.6316i 0.269918 0.467512i −0.698922 0.715198i \(-0.746337\pi\)
0.968840 + 0.247686i \(0.0796700\pi\)
\(620\) 4.12746 0.165763
\(621\) −5.06541 10.4109i −0.203268 0.417774i
\(622\) 30.3720 52.6058i 1.21780 2.10930i
\(623\) 28.1061 1.12605
\(624\) 4.21384 20.9898i 0.168689 0.840266i
\(625\) 17.4992 0.699968
\(626\) −24.9196 43.1620i −0.995987 1.72510i
\(627\) −7.50759 3.56688i −0.299824 0.142447i
\(628\) −13.3828 + 23.1796i −0.534030 + 0.924967i
\(629\) 11.5836 20.0634i 0.461868 0.799978i
\(630\) −15.8533 6.63260i −0.631610 0.264249i
\(631\) −0.634355 1.09874i −0.0252533 0.0437400i 0.853123 0.521711i \(-0.174706\pi\)
−0.878376 + 0.477971i \(0.841373\pi\)
\(632\) 25.7898 + 44.6693i 1.02587 + 1.77685i
\(633\) −0.458353 + 2.28313i −0.0182179 + 0.0907464i
\(634\) 10.5384 + 18.2531i 0.418534 + 0.724923i
\(635\) 3.32522 + 5.75946i 0.131957 + 0.228557i
\(636\) 4.87840 24.3001i 0.193441 0.963562i
\(637\) −19.0173 −0.753495
\(638\) 15.6963 0.621421
\(639\) −26.3220 + 20.0497i −1.04128 + 0.793153i
\(640\) −7.45270 12.9085i −0.294594 0.510252i
\(641\) −5.58707 9.67710i −0.220676 0.382222i 0.734337 0.678785i \(-0.237493\pi\)
−0.955013 + 0.296562i \(0.904160\pi\)
\(642\) 11.0719 3.73654i 0.436975 0.147469i
\(643\) −24.7361 −0.975497 −0.487749 0.872984i \(-0.662182\pi\)
−0.487749 + 0.872984i \(0.662182\pi\)
\(644\) 27.7710 1.09433
\(645\) 5.45055 1.83944i 0.214615 0.0724280i
\(646\) 63.0535 18.0078i 2.48081 0.708506i
\(647\) −22.5664 −0.887177 −0.443589 0.896230i \(-0.646295\pi\)
−0.443589 + 0.896230i \(0.646295\pi\)
\(648\) −26.6421 27.0227i −1.04660 1.06155i
\(649\) −7.36073 + 12.7492i −0.288934 + 0.500448i
\(650\) −51.0774 −2.00342
\(651\) 1.72624 8.59869i 0.0676567 0.337009i
\(652\) −23.7467 + 41.1305i −0.929992 + 1.61079i
\(653\) 8.52063 + 14.7582i 0.333438 + 0.577532i 0.983184 0.182620i \(-0.0584579\pi\)
−0.649745 + 0.760152i \(0.725125\pi\)
\(654\) 2.59079 12.9052i 0.101308 0.504631i
\(655\) −5.22934 −0.204327
\(656\) −7.39238 12.8040i −0.288624 0.499912i
\(657\) 24.9458 19.0014i 0.973229 0.741317i
\(658\) 2.25443 0.0878867
\(659\) −10.5917 −0.412595 −0.206297 0.978489i \(-0.566141\pi\)
−0.206297 + 0.978489i \(0.566141\pi\)
\(660\) −4.88548 + 1.64874i −0.190167 + 0.0641773i
\(661\) 6.09635 10.5592i 0.237120 0.410705i −0.722766 0.691092i \(-0.757130\pi\)
0.959887 + 0.280388i \(0.0904631\pi\)
\(662\) 46.0302 1.78902
\(663\) −48.8689 + 16.4922i −1.89791 + 0.640504i
\(664\) 21.2954 36.8847i 0.826421 1.43140i
\(665\) −2.52823 + 10.0944i −0.0980404 + 0.391445i
\(666\) 3.37822 + 26.3827i 0.130903 + 1.02231i
\(667\) 6.61975 11.4658i 0.256318 0.443956i
\(668\) −14.4566 25.0396i −0.559343 0.968811i
\(669\) −36.3263 + 12.2593i −1.40446 + 0.473973i
\(670\) 12.8577 0.496738
\(671\) 6.54616 11.3383i 0.252712 0.437709i
\(672\) −11.9136 + 4.02057i −0.459576 + 0.155097i
\(673\) 8.59983 14.8953i 0.331499 0.574173i −0.651307 0.758814i \(-0.725779\pi\)
0.982806 + 0.184641i \(0.0591123\pi\)
\(674\) 2.45018 + 4.24384i 0.0943774 + 0.163466i
\(675\) −13.0418 + 19.2954i −0.501978 + 0.742680i
\(676\) 35.9090 1.38112
\(677\) 9.95754 17.2470i 0.382699 0.662855i −0.608748 0.793364i \(-0.708328\pi\)
0.991447 + 0.130509i \(0.0416611\pi\)
\(678\) −43.2439 38.0598i −1.66077 1.46168i
\(679\) −40.9038 −1.56974
\(680\) 9.51266 16.4764i 0.364794 0.631842i
\(681\) −6.85735 6.03528i −0.262774 0.231272i
\(682\) −2.01610 3.49198i −0.0772003 0.133715i
\(683\) −39.6556 −1.51738 −0.758689 0.651453i \(-0.774160\pi\)
−0.758689 + 0.651453i \(0.774160\pi\)
\(684\) −29.4069 + 39.3604i −1.12440 + 1.50498i
\(685\) 13.2752 0.507218
\(686\) 11.9229 + 20.6510i 0.455217 + 0.788459i
\(687\) 27.4569 9.26612i 1.04755 0.353524i
\(688\) −6.00508 + 10.4011i −0.228941 + 0.396538i
\(689\) 18.0884 0.689112
\(690\) −1.31171 + 6.53385i −0.0499360 + 0.248740i
\(691\) −3.61123 + 6.25483i −0.137378 + 0.237945i −0.926503 0.376287i \(-0.877201\pi\)
0.789126 + 0.614232i \(0.210534\pi\)
\(692\) 12.6239 0.479889
\(693\) 1.39154 + 10.8674i 0.0528601 + 0.412819i
\(694\) −11.6719 20.2164i −0.443061 0.767404i
\(695\) −4.75116 + 8.22925i −0.180222 + 0.312153i
\(696\) 8.54126 42.5454i 0.323756 1.61268i
\(697\) −17.8094 + 30.8468i −0.674580 + 1.16841i
\(698\) 36.5624 1.38391
\(699\) 1.69577 + 1.49248i 0.0641398 + 0.0564506i
\(700\) −27.9316 48.3790i −1.05572 1.82856i
\(701\) −0.929426 + 1.60981i −0.0351039 + 0.0608018i −0.883044 0.469291i \(-0.844510\pi\)
0.847940 + 0.530093i \(0.177843\pi\)
\(702\) 33.1596 49.0599i 1.25153 1.85165i
\(703\) 15.4872 4.42306i 0.584111 0.166819i
\(704\) −5.75556 + 9.96892i −0.216921 + 0.375718i
\(705\) −0.0694926 + 0.346154i −0.00261724 + 0.0130369i
\(706\) −63.8995 −2.40489
\(707\) −24.9181 + 43.1595i −0.937142 + 1.62318i
\(708\) 65.3239 + 57.4927i 2.45502 + 2.16071i
\(709\) −33.3284 −1.25167 −0.625836 0.779954i \(-0.715242\pi\)
−0.625836 + 0.779954i \(0.715242\pi\)
\(710\) 19.0458 0.714776
\(711\) 4.66116 + 36.4020i 0.174807 + 1.36518i
\(712\) −17.8623 30.9384i −0.669417 1.15946i
\(713\) −3.40108 −0.127371
\(714\) −64.8852 57.1066i −2.42827 2.13716i
\(715\) −1.88153 3.25890i −0.0703652 0.121876i
\(716\) 32.5999 56.4647i 1.21832 2.11019i
\(717\) 31.5171 10.6363i 1.17703 0.397221i
\(718\) −28.7433 −1.07269
\(719\) 24.4759 42.3936i 0.912799 1.58101i 0.102706 0.994712i \(-0.467250\pi\)
0.810093 0.586302i \(-0.199417\pi\)
\(720\) 0.713644 + 5.57331i 0.0265959 + 0.207705i
\(721\) 6.28654 0.234123
\(722\) 40.2072 + 21.4884i 1.49636 + 0.799714i
\(723\) −0.610291 + 3.03996i −0.0226970 + 0.113057i
\(724\) 43.9413 1.63307
\(725\) −26.6322 −0.989095
\(726\) −30.5358 26.8751i −1.13329 0.997429i
\(727\) 13.8532 + 23.9944i 0.513785 + 0.889902i 0.999872 + 0.0159916i \(0.00509050\pi\)
−0.486087 + 0.873910i \(0.661576\pi\)
\(728\) 33.2150 + 57.5300i 1.23103 + 2.13220i
\(729\) −10.0665 25.0533i −0.372834 0.927898i
\(730\) −18.0501 −0.668062
\(731\) 28.9344 1.07018
\(732\) −58.0948 51.1303i −2.14725 1.88983i
\(733\) −12.9206 22.3791i −0.477232 0.826591i 0.522427 0.852684i \(-0.325027\pi\)
−0.999660 + 0.0260931i \(0.991693\pi\)
\(734\) −1.92776 3.33898i −0.0711549 0.123244i
\(735\) 4.72916 1.59599i 0.174438 0.0588689i
\(736\) 2.43802 + 4.22278i 0.0898668 + 0.155654i
\(737\) −4.09872 7.09918i −0.150978 0.261502i
\(738\) −5.19392 40.5627i −0.191191 1.49313i
\(739\) 12.4245 21.5199i 0.457044 0.791623i −0.541759 0.840534i \(-0.682242\pi\)
0.998803 + 0.0489105i \(0.0155749\pi\)
\(740\) 4.99576 8.65291i 0.183648 0.318087i
\(741\) −32.3880 15.3876i −1.18980 0.565279i
\(742\) 15.1570 + 26.2526i 0.556429 + 0.963764i
\(743\) −8.28209 −0.303841 −0.151920 0.988393i \(-0.548546\pi\)
−0.151920 + 0.988393i \(0.548546\pi\)
\(744\) −10.5622 + 3.56453i −0.387231 + 0.130682i
\(745\) −1.77776 −0.0651323
\(746\) −9.74993 + 16.8874i −0.356970 + 0.618291i
\(747\) 24.1067 18.3623i 0.882018 0.671840i
\(748\) −25.9347 −0.948266
\(749\) −4.66363 + 8.07765i −0.170405 + 0.295151i
\(750\) 26.8713 9.06846i 0.981200 0.331133i
\(751\) 9.42933 16.3321i 0.344081 0.595966i −0.641105 0.767453i \(-0.721524\pi\)
0.985186 + 0.171487i \(0.0548571\pi\)
\(752\) −0.368558 0.638361i −0.0134399 0.0232786i
\(753\) 10.4166 3.51539i 0.379603 0.128108i
\(754\) 67.7142 2.46601
\(755\) 8.48220 14.6916i 0.308699 0.534682i
\(756\) 64.6014 + 4.57942i 2.34953 + 0.166552i
\(757\) −2.76509 + 4.78927i −0.100499 + 0.174069i −0.911890 0.410434i \(-0.865377\pi\)
0.811391 + 0.584503i \(0.198711\pi\)
\(758\) 39.7180 + 68.7937i 1.44262 + 2.49870i
\(759\) 4.02570 1.35859i 0.146124 0.0493135i
\(760\) 12.7184 3.63231i 0.461344 0.131758i
\(761\) 9.58456 + 16.6009i 0.347440 + 0.601784i 0.985794 0.167959i \(-0.0537177\pi\)
−0.638354 + 0.769743i \(0.720384\pi\)
\(762\) −28.8290 25.3729i −1.04436 0.919164i
\(763\) 5.25318 + 9.09877i 0.190178 + 0.329398i
\(764\) 4.59678 + 7.96186i 0.166306 + 0.288050i
\(765\) 10.7685 8.20244i 0.389335 0.296560i
\(766\) 23.6313 + 40.9306i 0.853833 + 1.47888i
\(767\) −31.7545 + 55.0003i −1.14659 + 1.98595i
\(768\) 37.4242 + 32.9377i 1.35043 + 1.18854i
\(769\) 9.09700 15.7565i 0.328046 0.568192i −0.654078 0.756427i \(-0.726943\pi\)
0.982124 + 0.188235i \(0.0602765\pi\)
\(770\) 3.15321 5.46152i 0.113634 0.196820i
\(771\) −31.0041 27.2873i −1.11659 0.982728i
\(772\) −23.2223 + 40.2223i −0.835790 + 1.44763i
\(773\) 26.9898 + 46.7476i 0.970754 + 1.68140i 0.693288 + 0.720660i \(0.256161\pi\)
0.277466 + 0.960736i \(0.410505\pi\)
\(774\) −26.4263 + 20.1291i −0.949874 + 0.723527i
\(775\) 3.42075