Properties

Label 300.2.w.a.67.5
Level $300$
Weight $2$
Character 300.67
Analytic conductor $2.396$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.w (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 67.5
Character \(\chi\) \(=\) 300.67
Dual form 300.2.w.a.103.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.29457 + 0.569294i) q^{2} +(0.987688 + 0.156434i) q^{3} +(1.35181 - 1.47398i) q^{4} +(2.22495 - 0.222669i) q^{5} +(-1.36769 + 0.359770i) q^{6} +(-3.70249 + 3.70249i) q^{7} +(-0.910882 + 2.67774i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\) \(q+(-1.29457 + 0.569294i) q^{2} +(0.987688 + 0.156434i) q^{3} +(1.35181 - 1.47398i) q^{4} +(2.22495 - 0.222669i) q^{5} +(-1.36769 + 0.359770i) q^{6} +(-3.70249 + 3.70249i) q^{7} +(-0.910882 + 2.67774i) q^{8} +(0.951057 + 0.309017i) q^{9} +(-2.75359 + 1.55491i) q^{10} +(0.352091 - 0.114401i) q^{11} +(1.56575 - 1.24436i) q^{12} +(2.36428 + 4.64017i) q^{13} +(2.68532 - 6.90093i) q^{14} +(2.23239 + 0.128132i) q^{15} +(-0.345222 - 3.98507i) q^{16} +(-0.155364 - 0.980930i) q^{17} +(-1.40713 + 0.141387i) q^{18} +(2.30977 + 1.67815i) q^{19} +(2.67950 - 3.58054i) q^{20} +(-4.23611 + 3.07771i) q^{21} +(-0.390678 + 0.348544i) q^{22} +(3.21049 - 6.30095i) q^{23} +(-1.31856 + 2.50228i) q^{24} +(4.90084 - 0.990856i) q^{25} +(-5.70234 - 4.66104i) q^{26} +(0.891007 + 0.453990i) q^{27} +(0.452328 + 10.4625i) q^{28} +(0.959703 + 1.32092i) q^{29} +(-2.96293 + 1.10501i) q^{30} +(-3.91704 + 5.39135i) q^{31} +(2.71559 + 4.96242i) q^{32} +(0.365653 - 0.0579137i) q^{33} +(0.759566 + 1.18143i) q^{34} +(-7.41344 + 9.06230i) q^{35} +(1.74113 - 0.984104i) q^{36} +(-3.78075 + 1.92639i) q^{37} +(-3.94551 - 0.857536i) q^{38} +(1.60929 + 4.95290i) q^{39} +(-1.43042 + 6.16067i) q^{40} +(0.959013 - 2.95154i) q^{41} +(3.73180 - 6.39589i) q^{42} +(-0.302937 - 0.302937i) q^{43} +(0.307335 - 0.673624i) q^{44} +(2.18487 + 0.475778i) q^{45} +(-0.569111 + 9.98472i) q^{46} +(0.817946 - 5.16431i) q^{47} +(0.282431 - 3.99002i) q^{48} -20.4169i q^{49} +(-5.78038 + 4.07275i) q^{50} -0.993157i q^{51} +(10.0356 + 2.78772i) q^{52} +(-0.685412 + 4.32752i) q^{53} +(-1.41192 - 0.0804769i) q^{54} +(0.757913 - 0.332938i) q^{55} +(-6.54178 - 13.2868i) q^{56} +(2.01881 + 2.01881i) q^{57} +(-1.99439 - 1.16366i) q^{58} +(1.32518 - 4.07849i) q^{59} +(3.20663 - 3.11729i) q^{60} +(-2.66600 - 8.20510i) q^{61} +(2.00162 - 9.20941i) q^{62} +(-4.66541 + 2.37715i) q^{63} +(-6.34059 - 4.87821i) q^{64} +(6.29364 + 9.79771i) q^{65} +(-0.440392 + 0.283137i) q^{66} +(4.13082 - 0.654258i) q^{67} +(-1.65589 - 1.09703i) q^{68} +(4.15665 - 5.72114i) q^{69} +(4.43809 - 15.9522i) q^{70} +(3.73936 + 5.14679i) q^{71} +(-1.69377 + 2.26520i) q^{72} +(-12.0226 - 6.12582i) q^{73} +(3.79776 - 4.64620i) q^{74} +(4.99550 - 0.211997i) q^{75} +(5.59592 - 1.13602i) q^{76} +(-0.880045 + 1.72719i) q^{77} +(-4.90299 - 5.49570i) q^{78} +(7.17475 - 5.21276i) q^{79} +(-1.65546 - 8.78974i) q^{80} +(0.809017 + 0.587785i) q^{81} +(0.438785 + 4.36692i) q^{82} +(-1.07499 - 6.78724i) q^{83} +(-1.18993 + 10.4044i) q^{84} +(-0.564100 - 2.14793i) q^{85} +(0.564632 + 0.219712i) q^{86} +(0.741250 + 1.45479i) q^{87} +(-0.0143764 + 1.04702i) q^{88} +(-12.1162 + 3.93680i) q^{89} +(-3.09931 + 0.627903i) q^{90} +(-25.9339 - 8.42645i) q^{91} +(-4.94749 - 13.2499i) q^{92} +(-4.71221 + 4.71221i) q^{93} +(1.88112 + 7.15119i) q^{94} +(5.51280 + 3.21948i) q^{95} +(1.90587 + 5.32613i) q^{96} +(10.9115 + 1.72821i) q^{97} +(11.6232 + 26.4311i) q^{98} +0.370211 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 12q^{8} + O(q^{10}) \) \( 240q + 12q^{8} + 8q^{10} + 8q^{12} + 4q^{13} + 20q^{17} - 20q^{20} - 12q^{22} + 20q^{25} + 4q^{28} - 8q^{30} - 20q^{32} - 8q^{33} - 4q^{37} - 76q^{38} - 92q^{40} - 20q^{42} - 140q^{44} - 4q^{45} - 16q^{48} - 164q^{50} - 172q^{52} - 4q^{53} - 120q^{58} + 20q^{60} - 44q^{62} - 60q^{64} - 20q^{65} + 16q^{68} - 44q^{70} + 12q^{72} - 44q^{73} - 48q^{77} + 24q^{78} - 4q^{80} + 60q^{81} + 24q^{82} + 80q^{84} - 64q^{85} + 60q^{88} - 260q^{89} + 48q^{90} + 144q^{92} - 64q^{93} + 40q^{94} - 20q^{96} - 180q^{97} + 256q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.29457 + 0.569294i −0.915397 + 0.402551i
\(3\) 0.987688 + 0.156434i 0.570242 + 0.0903175i
\(4\) 1.35181 1.47398i 0.675905 0.736989i
\(5\) 2.22495 0.222669i 0.995030 0.0995806i
\(6\) −1.36769 + 0.359770i −0.558356 + 0.146875i
\(7\) −3.70249 + 3.70249i −1.39941 + 1.39941i −0.597664 + 0.801747i \(0.703904\pi\)
−0.801747 + 0.597664i \(0.796096\pi\)
\(8\) −0.910882 + 2.67774i −0.322045 + 0.946724i
\(9\) 0.951057 + 0.309017i 0.317019 + 0.103006i
\(10\) −2.75359 + 1.55491i −0.870761 + 0.491706i
\(11\) 0.352091 0.114401i 0.106160 0.0344933i −0.255456 0.966821i \(-0.582225\pi\)
0.361615 + 0.932327i \(0.382225\pi\)
\(12\) 1.56575 1.24436i 0.451992 0.359216i
\(13\) 2.36428 + 4.64017i 0.655734 + 1.28695i 0.944172 + 0.329453i \(0.106864\pi\)
−0.288438 + 0.957499i \(0.593136\pi\)
\(14\) 2.68532 6.90093i 0.717682 1.84435i
\(15\) 2.23239 + 0.128132i 0.576402 + 0.0330835i
\(16\) −0.345222 3.98507i −0.0863056 0.996269i
\(17\) −0.155364 0.980930i −0.0376813 0.237910i 0.961658 0.274251i \(-0.0884299\pi\)
−0.999339 + 0.0363406i \(0.988430\pi\)
\(18\) −1.40713 + 0.141387i −0.331663 + 0.0333253i
\(19\) 2.30977 + 1.67815i 0.529897 + 0.384993i 0.820319 0.571906i \(-0.193796\pi\)
−0.290422 + 0.956899i \(0.593796\pi\)
\(20\) 2.67950 3.58054i 0.599155 0.800633i
\(21\) −4.23611 + 3.07771i −0.924394 + 0.671612i
\(22\) −0.390678 + 0.348544i −0.0832928 + 0.0743098i
\(23\) 3.21049 6.30095i 0.669434 1.31384i −0.267237 0.963631i \(-0.586111\pi\)
0.936672 0.350208i \(-0.113889\pi\)
\(24\) −1.31856 + 2.50228i −0.269150 + 0.510776i
\(25\) 4.90084 0.990856i 0.980167 0.198171i
\(26\) −5.70234 4.66104i −1.11832 0.914105i
\(27\) 0.891007 + 0.453990i 0.171474 + 0.0873705i
\(28\) 0.452328 + 10.4625i 0.0854820 + 1.97722i
\(29\) 0.959703 + 1.32092i 0.178212 + 0.245288i 0.888773 0.458348i \(-0.151559\pi\)
−0.710561 + 0.703636i \(0.751559\pi\)
\(30\) −2.96293 + 1.10501i −0.540954 + 0.201747i
\(31\) −3.91704 + 5.39135i −0.703522 + 0.968315i 0.296390 + 0.955067i \(0.404217\pi\)
−0.999912 + 0.0132480i \(0.995783\pi\)
\(32\) 2.71559 + 4.96242i 0.480053 + 0.877239i
\(33\) 0.365653 0.0579137i 0.0636520 0.0100815i
\(34\) 0.759566 + 1.18143i 0.130265 + 0.202614i
\(35\) −7.41344 + 9.06230i −1.25310 + 1.53181i
\(36\) 1.74113 0.984104i 0.290189 0.164017i
\(37\) −3.78075 + 1.92639i −0.621552 + 0.316697i −0.736256 0.676703i \(-0.763408\pi\)
0.114704 + 0.993400i \(0.463408\pi\)
\(38\) −3.94551 0.857536i −0.640046 0.139111i
\(39\) 1.60929 + 4.95290i 0.257693 + 0.793098i
\(40\) −1.43042 + 6.16067i −0.226169 + 0.974088i
\(41\) 0.959013 2.95154i 0.149773 0.460953i −0.847821 0.530282i \(-0.822086\pi\)
0.997594 + 0.0693295i \(0.0220860\pi\)
\(42\) 3.73180 6.39589i 0.575830 0.986908i
\(43\) −0.302937 0.302937i −0.0461974 0.0461974i 0.683631 0.729828i \(-0.260400\pi\)
−0.729828 + 0.683631i \(0.760400\pi\)
\(44\) 0.307335 0.673624i 0.0463325 0.101553i
\(45\) 2.18487 + 0.475778i 0.325700 + 0.0709248i
\(46\) −0.569111 + 9.98472i −0.0839108 + 1.47217i
\(47\) 0.817946 5.16431i 0.119310 0.753292i −0.853398 0.521259i \(-0.825462\pi\)
0.972708 0.232032i \(-0.0745375\pi\)
\(48\) 0.282431 3.99002i 0.0407654 0.575909i
\(49\) 20.4169i 2.91670i
\(50\) −5.78038 + 4.07275i −0.817469 + 0.575973i
\(51\) 0.993157i 0.139070i
\(52\) 10.0356 + 2.78772i 1.39168 + 0.386587i
\(53\) −0.685412 + 4.32752i −0.0941485 + 0.594431i 0.894834 + 0.446399i \(0.147294\pi\)
−0.988983 + 0.148032i \(0.952706\pi\)
\(54\) −1.41192 0.0804769i −0.192138 0.0109515i
\(55\) 0.757913 0.332938i 0.102197 0.0448933i
\(56\) −6.54178 13.2868i −0.874182 1.77553i
\(57\) 2.01881 + 2.01881i 0.267398 + 0.267398i
\(58\) −1.99439 1.16366i −0.261876 0.152797i
\(59\) 1.32518 4.07849i 0.172524 0.530974i −0.826988 0.562220i \(-0.809947\pi\)
0.999512 + 0.0312458i \(0.00994746\pi\)
\(60\) 3.20663 3.11729i 0.413975 0.402440i
\(61\) −2.66600 8.20510i −0.341346 1.05056i −0.963511 0.267669i \(-0.913747\pi\)
0.622165 0.782886i \(-0.286253\pi\)
\(62\) 2.00162 9.20941i 0.254206 1.16960i
\(63\) −4.66541 + 2.37715i −0.587787 + 0.299492i
\(64\) −6.34059 4.87821i −0.792573 0.609776i
\(65\) 6.29364 + 9.79771i 0.780630 + 1.21526i
\(66\) −0.440392 + 0.283137i −0.0542085 + 0.0348518i
\(67\) 4.13082 0.654258i 0.504660 0.0799304i 0.101087 0.994878i \(-0.467768\pi\)
0.403573 + 0.914947i \(0.367768\pi\)
\(68\) −1.65589 1.09703i −0.200806 0.133034i
\(69\) 4.15665 5.72114i 0.500402 0.688745i
\(70\) 4.43809 15.9522i 0.530453 1.90665i
\(71\) 3.73936 + 5.14679i 0.443780 + 0.610811i 0.971047 0.238889i \(-0.0767831\pi\)
−0.527267 + 0.849700i \(0.676783\pi\)
\(72\) −1.69377 + 2.26520i −0.199612 + 0.266957i
\(73\) −12.0226 6.12582i −1.40714 0.716973i −0.425011 0.905188i \(-0.639730\pi\)
−0.982128 + 0.188215i \(0.939730\pi\)
\(74\) 3.79776 4.64620i 0.441481 0.540110i
\(75\) 4.99550 0.211997i 0.576831 0.0244793i
\(76\) 5.59592 1.13602i 0.641896 0.130310i
\(77\) −0.880045 + 1.72719i −0.100290 + 0.196831i
\(78\) −4.90299 5.49570i −0.555154 0.622265i
\(79\) 7.17475 5.21276i 0.807222 0.586481i −0.105802 0.994387i \(-0.533741\pi\)
0.913024 + 0.407906i \(0.133741\pi\)
\(80\) −1.65546 8.78974i −0.185086 0.982722i
\(81\) 0.809017 + 0.587785i 0.0898908 + 0.0653095i
\(82\) 0.438785 + 4.36692i 0.0484557 + 0.482246i
\(83\) −1.07499 6.78724i −0.117996 0.744997i −0.973751 0.227616i \(-0.926907\pi\)
0.855755 0.517381i \(-0.173093\pi\)
\(84\) −1.18993 + 10.4044i −0.129832 + 1.13521i
\(85\) −0.564100 2.14793i −0.0611853 0.232976i
\(86\) 0.564632 + 0.219712i 0.0608858 + 0.0236922i
\(87\) 0.741250 + 1.45479i 0.0794704 + 0.155969i
\(88\) −0.0143764 + 1.04702i −0.00153253 + 0.111612i
\(89\) −12.1162 + 3.93680i −1.28432 + 0.417300i −0.870099 0.492877i \(-0.835945\pi\)
−0.414219 + 0.910177i \(0.635945\pi\)
\(90\) −3.09931 + 0.627903i −0.326696 + 0.0661868i
\(91\) −25.9339 8.42645i −2.71862 0.883332i
\(92\) −4.94749 13.2499i −0.515811 1.38140i
\(93\) −4.71221 + 4.71221i −0.488634 + 0.488634i
\(94\) 1.88112 + 7.15119i 0.194023 + 0.737589i
\(95\) 5.51280 + 3.21948i 0.565601 + 0.330312i
\(96\) 1.90587 + 5.32613i 0.194517 + 0.543596i
\(97\) 10.9115 + 1.72821i 1.10789 + 0.175473i 0.683461 0.729987i \(-0.260474\pi\)
0.424431 + 0.905460i \(0.360474\pi\)
\(98\) 11.6232 + 26.4311i 1.17412 + 2.66994i
\(99\) 0.370211 0.0372076
\(100\) 5.16450 8.56317i 0.516450 0.856317i
\(101\) −2.66285 −0.264964 −0.132482 0.991185i \(-0.542295\pi\)
−0.132482 + 0.991185i \(0.542295\pi\)
\(102\) 0.565398 + 1.28571i 0.0559827 + 0.127304i
\(103\) 3.88658 + 0.615574i 0.382956 + 0.0606543i 0.344945 0.938623i \(-0.387898\pi\)
0.0380114 + 0.999277i \(0.487898\pi\)
\(104\) −14.5788 + 2.10429i −1.42956 + 0.206343i
\(105\) −8.73983 + 7.79101i −0.852920 + 0.760325i
\(106\) −1.57632 5.99247i −0.153106 0.582040i
\(107\) 0.239138 0.239138i 0.0231184 0.0231184i −0.695453 0.718571i \(-0.744796\pi\)
0.718571 + 0.695453i \(0.244796\pi\)
\(108\) 1.87364 0.699615i 0.180291 0.0673205i
\(109\) 11.4281 + 3.71322i 1.09462 + 0.355662i 0.800028 0.599962i \(-0.204818\pi\)
0.294588 + 0.955624i \(0.404818\pi\)
\(110\) −0.791630 + 0.862485i −0.0754790 + 0.0822347i
\(111\) −4.03556 + 1.31123i −0.383038 + 0.124457i
\(112\) 16.0329 + 13.4765i 1.51497 + 1.27341i
\(113\) −6.18517 12.1391i −0.581851 1.14195i −0.974944 0.222449i \(-0.928595\pi\)
0.393093 0.919499i \(-0.371405\pi\)
\(114\) −3.76279 1.46419i −0.352417 0.137134i
\(115\) 5.74018 14.7342i 0.535274 1.37397i
\(116\) 3.24434 + 0.371048i 0.301229 + 0.0344509i
\(117\) 0.814677 + 5.14367i 0.0753169 + 0.475532i
\(118\) 0.606321 + 6.03430i 0.0558164 + 0.555502i
\(119\) 4.20712 + 3.05665i 0.385666 + 0.280203i
\(120\) −2.37655 + 5.86106i −0.216948 + 0.535039i
\(121\) −8.78831 + 6.38508i −0.798937 + 0.580462i
\(122\) 8.12243 + 9.10432i 0.735370 + 0.824266i
\(123\) 1.40893 2.76518i 0.127039 0.249328i
\(124\) 2.65163 + 13.0617i 0.238124 + 1.17298i
\(125\) 10.6835 3.29587i 0.955562 0.294792i
\(126\) 4.68640 5.73337i 0.417497 0.510769i
\(127\) −11.7063 5.96467i −1.03877 0.529279i −0.150503 0.988610i \(-0.548089\pi\)
−0.888266 + 0.459330i \(0.848089\pi\)
\(128\) 10.9855 + 2.70552i 0.970986 + 0.239136i
\(129\) −0.251817 0.346597i −0.0221713 0.0305161i
\(130\) −13.7253 9.10086i −1.20379 0.798198i
\(131\) 9.63540 13.2620i 0.841849 1.15871i −0.143751 0.989614i \(-0.545917\pi\)
0.985600 0.169092i \(-0.0540834\pi\)
\(132\) 0.408929 0.617252i 0.0355927 0.0537249i
\(133\) −14.7652 + 2.33858i −1.28031 + 0.202781i
\(134\) −4.97516 + 3.19863i −0.429789 + 0.276320i
\(135\) 2.08354 + 0.811708i 0.179322 + 0.0698607i
\(136\) 2.76819 + 0.477487i 0.237371 + 0.0409442i
\(137\) −9.20904 + 4.69224i −0.786782 + 0.400885i −0.800736 0.599017i \(-0.795558\pi\)
0.0139543 + 0.999903i \(0.495558\pi\)
\(138\) −2.12406 + 9.77276i −0.180812 + 0.831913i
\(139\) −0.0731045 0.224993i −0.00620065 0.0190836i 0.947908 0.318543i \(-0.103194\pi\)
−0.954109 + 0.299460i \(0.903194\pi\)
\(140\) 3.33607 + 23.1778i 0.281950 + 1.95888i
\(141\) 1.61575 4.97277i 0.136071 0.418783i
\(142\) −7.77088 4.53407i −0.652118 0.380490i
\(143\) 1.36329 + 1.36329i 0.114004 + 0.114004i
\(144\) 0.903130 3.89671i 0.0752608 0.324726i
\(145\) 2.42942 + 2.72528i 0.201752 + 0.226323i
\(146\) 19.0515 + 1.08590i 1.57671 + 0.0898695i
\(147\) 3.19391 20.1655i 0.263429 1.66323i
\(148\) −2.27140 + 8.17686i −0.186708 + 0.672134i
\(149\) 18.9045i 1.54871i −0.632748 0.774357i \(-0.718073\pi\)
0.632748 0.774357i \(-0.281927\pi\)
\(150\) −6.34633 + 3.11835i −0.518175 + 0.254612i
\(151\) 7.54220i 0.613775i 0.951746 + 0.306888i \(0.0992876\pi\)
−0.951746 + 0.306888i \(0.900712\pi\)
\(152\) −6.59757 + 4.65637i −0.535133 + 0.377681i
\(153\) 0.155364 0.980930i 0.0125604 0.0793035i
\(154\) 0.156002 2.73696i 0.0125710 0.220551i
\(155\) −7.51476 + 12.8677i −0.603600 + 1.03356i
\(156\) 9.47592 + 4.32331i 0.758681 + 0.346142i
\(157\) 5.54998 + 5.54998i 0.442936 + 0.442936i 0.892998 0.450061i \(-0.148598\pi\)
−0.450061 + 0.892998i \(0.648598\pi\)
\(158\) −6.32060 + 10.8328i −0.502840 + 0.861812i
\(159\) −1.35395 + 4.16702i −0.107375 + 0.330466i
\(160\) 7.14704 + 10.4365i 0.565023 + 0.825075i
\(161\) 11.4424 + 35.2161i 0.901787 + 2.77541i
\(162\) −1.38195 0.300359i −0.108576 0.0235985i
\(163\) 8.50184 4.33190i 0.665915 0.339301i −0.0881433 0.996108i \(-0.528093\pi\)
0.754059 + 0.656807i \(0.228093\pi\)
\(164\) −3.05410 5.40348i −0.238485 0.421941i
\(165\) 0.800665 0.210275i 0.0623317 0.0163699i
\(166\) 5.25558 + 8.17455i 0.407913 + 0.634468i
\(167\) −13.2086 + 2.09204i −1.02211 + 0.161887i −0.644921 0.764249i \(-0.723110\pi\)
−0.377191 + 0.926136i \(0.623110\pi\)
\(168\) −4.38272 14.1466i −0.338134 1.09144i
\(169\) −8.30012 + 11.4241i −0.638471 + 0.878780i
\(170\) 1.95307 + 2.45950i 0.149793 + 0.188635i
\(171\) 1.67815 + 2.30977i 0.128331 + 0.176632i
\(172\) −0.856035 + 0.0370093i −0.0652720 + 0.00282194i
\(173\) 2.31220 + 1.17813i 0.175794 + 0.0895713i 0.539673 0.841875i \(-0.318548\pi\)
−0.363879 + 0.931446i \(0.618548\pi\)
\(174\) −1.78780 1.46133i −0.135533 0.110783i
\(175\) −14.4767 + 21.8139i −1.09433 + 1.64898i
\(176\) −0.577448 1.36362i −0.0435268 0.102786i
\(177\) 1.94688 3.82097i 0.146337 0.287202i
\(178\) 13.4441 11.9942i 1.00768 0.899000i
\(179\) 2.40147 1.74477i 0.179494 0.130410i −0.494410 0.869229i \(-0.664616\pi\)
0.673904 + 0.738819i \(0.264616\pi\)
\(180\) 3.65481 2.57728i 0.272413 0.192099i
\(181\) 10.4496 + 7.59211i 0.776716 + 0.564317i 0.903992 0.427550i \(-0.140623\pi\)
−0.127276 + 0.991867i \(0.540623\pi\)
\(182\) 38.3704 3.85542i 2.84420 0.285783i
\(183\) −1.34962 8.52114i −0.0997664 0.629900i
\(184\) 13.9479 + 14.3363i 1.02825 + 1.05689i
\(185\) −7.98305 + 5.12799i −0.586926 + 0.377017i
\(186\) 3.41764 8.78291i 0.250594 0.643994i
\(187\) −0.166922 0.327603i −0.0122065 0.0239567i
\(188\) −6.50637 8.18679i −0.474526 0.597083i
\(189\) −4.97984 + 1.61805i −0.362230 + 0.117696i
\(190\) −8.96952 1.02943i −0.650718 0.0746830i
\(191\) 15.1573 + 4.92491i 1.09675 + 0.356354i 0.800849 0.598866i \(-0.204382\pi\)
0.295896 + 0.955220i \(0.404382\pi\)
\(192\) −5.49940 5.81004i −0.396885 0.419303i
\(193\) 6.71231 6.71231i 0.483163 0.483163i −0.422977 0.906140i \(-0.639015\pi\)
0.906140 + 0.422977i \(0.139015\pi\)
\(194\) −15.1095 + 3.97455i −1.08480 + 0.285356i
\(195\) 4.68346 + 10.6616i 0.335390 + 0.763495i
\(196\) −30.0941 27.5998i −2.14958 1.97141i
\(197\) −20.1134 3.18565i −1.43302 0.226968i −0.608840 0.793293i \(-0.708365\pi\)
−0.824182 + 0.566325i \(0.808365\pi\)
\(198\) −0.479263 + 0.210759i −0.0340597 + 0.0149780i
\(199\) 4.63909 0.328856 0.164428 0.986389i \(-0.447422\pi\)
0.164428 + 0.986389i \(0.447422\pi\)
\(200\) −1.81083 + 14.0257i −0.128045 + 0.991768i
\(201\) 4.18231 0.294998
\(202\) 3.44724 1.51595i 0.242547 0.106662i
\(203\) −8.44398 1.33739i −0.592651 0.0938667i
\(204\) −1.46389 1.34256i −0.102493 0.0939979i
\(205\) 1.47654 6.78058i 0.103126 0.473576i
\(206\) −5.38188 + 1.41570i −0.374973 + 0.0986367i
\(207\) 5.00046 5.00046i 0.347556 0.347556i
\(208\) 17.6752 11.0237i 1.22556 0.764359i
\(209\) 1.00523 + 0.326620i 0.0695333 + 0.0225928i
\(210\) 6.87892 15.0615i 0.474691 1.03934i
\(211\) −0.267929 + 0.0870554i −0.0184450 + 0.00599314i −0.318225 0.948015i \(-0.603087\pi\)
0.299780 + 0.954008i \(0.403087\pi\)
\(212\) 5.45212 + 6.86026i 0.374453 + 0.471165i
\(213\) 2.88819 + 5.66838i 0.197895 + 0.388391i
\(214\) −0.173441 + 0.445721i −0.0118562 + 0.0304688i
\(215\) −0.741475 0.606566i −0.0505682 0.0413674i
\(216\) −2.02727 + 1.97235i −0.137938 + 0.134202i
\(217\) −5.45860 34.4643i −0.370554 2.33959i
\(218\) −16.9084 + 1.69894i −1.14518 + 0.115067i
\(219\) −10.9163 7.93115i −0.737654 0.535937i
\(220\) 0.533812 1.56722i 0.0359896 0.105662i
\(221\) 4.18436 3.04011i 0.281470 0.204500i
\(222\) 4.47783 3.99490i 0.300532 0.268120i
\(223\) 3.69002 7.24207i 0.247102 0.484965i −0.733826 0.679338i \(-0.762267\pi\)
0.980928 + 0.194373i \(0.0622671\pi\)
\(224\) −28.4278 8.31885i −1.89941 0.555826i
\(225\) 4.96716 + 0.572082i 0.331144 + 0.0381388i
\(226\) 14.9178 + 12.1937i 0.992318 + 0.811111i
\(227\) −21.3646 10.8858i −1.41802 0.722517i −0.434055 0.900886i \(-0.642918\pi\)
−0.983964 + 0.178369i \(0.942918\pi\)
\(228\) 5.70474 0.246635i 0.377805 0.0163338i
\(229\) −0.207489 0.285584i −0.0137113 0.0188719i 0.802106 0.597181i \(-0.203713\pi\)
−0.815818 + 0.578309i \(0.803713\pi\)
\(230\) 0.957042 + 22.3423i 0.0631055 + 1.47321i
\(231\) −1.13940 + 1.56825i −0.0749671 + 0.103183i
\(232\) −4.41125 + 1.36663i −0.289613 + 0.0897240i
\(233\) 22.1577 3.50943i 1.45160 0.229911i 0.619700 0.784839i \(-0.287254\pi\)
0.831898 + 0.554928i \(0.187254\pi\)
\(234\) −3.98291 6.19503i −0.260371 0.404982i
\(235\) 0.669961 11.6725i 0.0437034 0.761428i
\(236\) −4.22021 7.46663i −0.274712 0.486036i
\(237\) 7.90187 4.02620i 0.513282 0.261530i
\(238\) −7.18653 1.56195i −0.465834 0.101246i
\(239\) 8.84046 + 27.2081i 0.571842 + 1.75995i 0.646689 + 0.762754i \(0.276153\pi\)
−0.0748471 + 0.997195i \(0.523847\pi\)
\(240\) −0.260057 8.94049i −0.0167866 0.577106i
\(241\) 0.347825 1.07050i 0.0224054 0.0689567i −0.939229 0.343292i \(-0.888458\pi\)
0.961634 + 0.274335i \(0.0884579\pi\)
\(242\) 7.74207 13.2690i 0.497679 0.852966i
\(243\) 0.707107 + 0.707107i 0.0453609 + 0.0453609i
\(244\) −15.6981 7.16211i −1.00497 0.458507i
\(245\) −4.54621 45.4267i −0.290447 2.90220i
\(246\) −0.249755 + 4.38180i −0.0159238 + 0.279373i
\(247\) −2.32593 + 14.6853i −0.147995 + 0.934405i
\(248\) −10.8687 15.3997i −0.690161 0.977883i
\(249\) 6.87185i 0.435486i
\(250\) −11.9542 + 10.3488i −0.756050 + 0.654514i
\(251\) 2.00079i 0.126289i −0.998004 0.0631445i \(-0.979887\pi\)
0.998004 0.0631445i \(-0.0201129\pi\)
\(252\) −2.80289 + 10.0902i −0.176565 + 0.635621i
\(253\) 0.409550 2.58580i 0.0257482 0.162568i
\(254\) 18.5503 + 1.05733i 1.16395 + 0.0663429i
\(255\) −0.221145 2.20973i −0.0138487 0.138379i
\(256\) −15.7616 + 2.75147i −0.985103 + 0.171967i
\(257\) 6.57806 + 6.57806i 0.410328 + 0.410328i 0.881853 0.471525i \(-0.156296\pi\)
−0.471525 + 0.881853i \(0.656296\pi\)
\(258\) 0.523310 + 0.305335i 0.0325798 + 0.0190093i
\(259\) 6.86577 21.1307i 0.426618 1.31300i
\(260\) 22.9494 + 3.96794i 1.42326 + 0.246081i
\(261\) 0.504546 + 1.55283i 0.0312306 + 0.0961179i
\(262\) −4.92371 + 22.6539i −0.304188 + 1.39956i
\(263\) −3.97089 + 2.02327i −0.244856 + 0.124760i −0.572112 0.820175i \(-0.693876\pi\)
0.327257 + 0.944936i \(0.393876\pi\)
\(264\) −0.177989 + 1.03188i −0.0109544 + 0.0635076i
\(265\) −0.561405 + 9.78115i −0.0344869 + 0.600851i
\(266\) 17.7832 11.4332i 1.09036 0.701015i
\(267\) −12.5829 + 1.99294i −0.770062 + 0.121966i
\(268\) 4.61972 6.97318i 0.282195 0.425955i
\(269\) −15.7496 + 21.6775i −0.960272 + 1.32170i −0.0134615 + 0.999909i \(0.504285\pi\)
−0.946811 + 0.321792i \(0.895715\pi\)
\(270\) −3.15938 + 0.135334i −0.192274 + 0.00823615i
\(271\) 5.19079 + 7.14452i 0.315318 + 0.433998i 0.937031 0.349247i \(-0.113563\pi\)
−0.621712 + 0.783246i \(0.713563\pi\)
\(272\) −3.85544 + 0.957776i −0.233771 + 0.0580737i
\(273\) −24.2965 12.3797i −1.47049 0.749251i
\(274\) 9.25047 11.3171i 0.558841 0.683690i
\(275\) 1.61219 0.909534i 0.0972185 0.0548470i
\(276\) −2.81384 13.8607i −0.169373 0.834317i
\(277\) −13.1831 + 25.8732i −0.792093 + 1.55457i 0.0395222 + 0.999219i \(0.487416\pi\)
−0.831615 + 0.555352i \(0.812584\pi\)
\(278\) 0.222726 + 0.249650i 0.0133582 + 0.0149730i
\(279\) −5.39135 + 3.91704i −0.322772 + 0.234507i
\(280\) −17.5137 28.1060i −1.04665 1.67965i
\(281\) 3.57706 + 2.59889i 0.213389 + 0.155036i 0.689346 0.724432i \(-0.257898\pi\)
−0.475956 + 0.879469i \(0.657898\pi\)
\(282\) 0.739268 + 7.35742i 0.0440228 + 0.438128i
\(283\) 0.148343 + 0.936598i 0.00881805 + 0.0556750i 0.991705 0.128535i \(-0.0410274\pi\)
−0.982887 + 0.184210i \(0.941027\pi\)
\(284\) 12.6411 + 1.44574i 0.750114 + 0.0857889i
\(285\) 4.94129 + 4.04224i 0.292697 + 0.239441i
\(286\) −2.54098 0.988755i −0.150251 0.0584663i
\(287\) 7.37731 + 14.4788i 0.435469 + 0.854655i
\(288\) 1.04921 + 5.55870i 0.0618253 + 0.327550i
\(289\) 15.2299 4.94849i 0.895875 0.291087i
\(290\) −4.69654 2.14501i −0.275790 0.125959i
\(291\) 10.5068 + 3.41386i 0.615918 + 0.200124i
\(292\) −25.2816 + 9.44010i −1.47949 + 0.552440i
\(293\) 13.0996 13.0996i 0.765289 0.765289i −0.211984 0.977273i \(-0.567992\pi\)
0.977273 + 0.211984i \(0.0679924\pi\)
\(294\) 7.34538 + 27.9239i 0.428391 + 1.62856i
\(295\) 2.04031 9.36953i 0.118792 0.545515i
\(296\) −1.71455 11.8786i −0.0996563 0.690429i
\(297\) 0.365653 + 0.0579137i 0.0212173 + 0.00336049i
\(298\) 10.7622 + 24.4731i 0.623437 + 1.41769i
\(299\) 36.8280 2.12982
\(300\) 6.44049 7.64984i 0.371842 0.441664i
\(301\) 2.24324 0.129298
\(302\) −4.29373 9.76388i −0.247076 0.561848i
\(303\) −2.63007 0.416562i −0.151094 0.0239309i
\(304\) 5.89015 9.78394i 0.337823 0.561147i
\(305\) −7.75874 17.6623i −0.444264 1.01134i
\(306\) 0.357308 + 1.35833i 0.0204259 + 0.0776504i
\(307\) 13.1612 13.1612i 0.751147 0.751147i −0.223546 0.974693i \(-0.571763\pi\)
0.974693 + 0.223546i \(0.0717634\pi\)
\(308\) 1.35618 + 3.63199i 0.0772756 + 0.206952i
\(309\) 3.74243 + 1.21599i 0.212900 + 0.0691752i
\(310\) 2.40286 20.9362i 0.136473 1.18910i
\(311\) −19.9297 + 6.47555i −1.13011 + 0.367195i −0.813618 0.581400i \(-0.802505\pi\)
−0.316492 + 0.948595i \(0.602505\pi\)
\(312\) −14.7284 0.202234i −0.833834 0.0114493i
\(313\) 6.80071 + 13.3471i 0.384399 + 0.754425i 0.999419 0.0340866i \(-0.0108522\pi\)
−0.615020 + 0.788511i \(0.710852\pi\)
\(314\) −10.3444 4.02525i −0.583768 0.227158i
\(315\) −9.85101 + 6.32788i −0.555042 + 0.356536i
\(316\) 2.01540 17.6221i 0.113375 0.991319i
\(317\) 0.104878 + 0.662172i 0.00589052 + 0.0371913i 0.990459 0.137811i \(-0.0440067\pi\)
−0.984568 + 0.175002i \(0.944007\pi\)
\(318\) −0.619482 6.16528i −0.0347388 0.345732i
\(319\) 0.489018 + 0.355292i 0.0273797 + 0.0198925i
\(320\) −15.1937 9.44194i −0.849356 0.527821i
\(321\) 0.273604 0.198785i 0.0152711 0.0110951i
\(322\) −34.8612 39.0755i −1.94274 2.17759i
\(323\) 1.28729 2.52644i 0.0716266 0.140575i
\(324\) 1.96002 0.397900i 0.108890 0.0221055i
\(325\) 16.1847 + 20.3980i 0.897766 + 1.13148i
\(326\) −8.54008 + 10.4480i −0.472991 + 0.578660i
\(327\) 10.7066 + 5.45526i 0.592074 + 0.301677i
\(328\) 7.02990 + 5.25649i 0.388161 + 0.290241i
\(329\) 16.0924 + 22.1492i 0.887201 + 1.22113i
\(330\) −0.916807 + 0.728028i −0.0504685 + 0.0400766i
\(331\) −17.4371 + 24.0002i −0.958432 + 1.31917i −0.0107532 + 0.999942i \(0.503423\pi\)
−0.947679 + 0.319226i \(0.896577\pi\)
\(332\) −11.4574 7.59054i −0.628808 0.416585i
\(333\) −4.19100 + 0.663789i −0.229665 + 0.0363754i
\(334\) 15.9084 10.2279i 0.870471 0.559643i
\(335\) 9.04521 2.37550i 0.494193 0.129787i
\(336\) 13.7273 + 15.8187i 0.748886 + 0.862981i
\(337\) −15.3221 + 7.80699i −0.834647 + 0.425274i −0.818438 0.574595i \(-0.805160\pi\)
−0.0162086 + 0.999869i \(0.505160\pi\)
\(338\) 4.24138 19.5145i 0.230701 1.06145i
\(339\) −4.21005 12.9572i −0.228658 0.703738i
\(340\) −3.92856 2.07212i −0.213056 0.112376i
\(341\) −0.762379 + 2.34636i −0.0412852 + 0.127063i
\(342\) −3.48741 2.03479i −0.188578 0.110029i
\(343\) 49.6760 + 49.6760i 2.68225 + 2.68225i
\(344\) 1.08713 0.535246i 0.0586139 0.0288585i
\(345\) 7.97444 13.6548i 0.429330 0.735152i
\(346\) −3.66400 0.208841i −0.196978 0.0112274i
\(347\) −2.33324 + 14.7315i −0.125255 + 0.790830i 0.842456 + 0.538766i \(0.181109\pi\)
−0.967711 + 0.252064i \(0.918891\pi\)
\(348\) 3.14635 + 0.874006i 0.168662 + 0.0468517i
\(349\) 8.09332i 0.433226i 0.976258 + 0.216613i \(0.0695009\pi\)
−0.976258 + 0.216613i \(0.930499\pi\)
\(350\) 6.32249 36.4811i 0.337951 1.95000i
\(351\) 5.20778i 0.277971i
\(352\) 1.52384 + 1.43656i 0.0812211 + 0.0765687i
\(353\) 1.12096 7.07744i 0.0596625 0.376694i −0.939732 0.341911i \(-0.888926\pi\)
0.999395 0.0347832i \(-0.0110741\pi\)
\(354\) −0.345115 + 6.05485i −0.0183427 + 0.321812i
\(355\) 9.46593 + 10.6187i 0.502399 + 0.563583i
\(356\) −10.5761 + 23.1809i −0.560531 + 1.22858i
\(357\) 3.67716 + 3.67716i 0.194616 + 0.194616i
\(358\) −2.11557 + 3.62586i −0.111812 + 0.191633i
\(359\) −6.08656 + 18.7325i −0.321237 + 0.988665i 0.651874 + 0.758327i \(0.273983\pi\)
−0.973111 + 0.230337i \(0.926017\pi\)
\(360\) −3.26416 + 5.41712i −0.172037 + 0.285508i
\(361\) −3.35246 10.3178i −0.176445 0.543043i
\(362\) −17.8499 3.87958i −0.938170 0.203906i
\(363\) −9.67895 + 4.93167i −0.508013 + 0.258846i
\(364\) −47.4781 + 26.8351i −2.48853 + 1.40654i
\(365\) −28.1138 10.9526i −1.47154 0.573286i
\(366\) 6.59820 + 10.2629i 0.344893 + 0.536448i
\(367\) −1.14434 + 0.181246i −0.0597341 + 0.00946095i −0.186230 0.982506i \(-0.559627\pi\)
0.126496 + 0.991967i \(0.459627\pi\)
\(368\) −26.2181 10.6188i −1.36671 0.553545i
\(369\) 1.82415 2.51073i 0.0949615 0.130703i
\(370\) 7.41527 11.1832i 0.385502 0.581388i
\(371\) −13.4849 18.5603i −0.700100 0.963605i
\(372\) 0.575684 + 13.3157i 0.0298478 + 0.690387i
\(373\) −5.06396 2.58022i −0.262202 0.133599i 0.317948 0.948108i \(-0.397006\pi\)
−0.580150 + 0.814509i \(0.697006\pi\)
\(374\) 0.402594 + 0.329076i 0.0208176 + 0.0170161i
\(375\) 11.0676 1.58403i 0.571526 0.0817988i
\(376\) 13.0836 + 6.89432i 0.674736 + 0.355547i
\(377\) −3.86027 + 7.57621i −0.198814 + 0.390195i
\(378\) 5.52560 4.92967i 0.284206 0.253555i
\(379\) −21.0848 + 15.3190i −1.08305 + 0.786883i −0.978213 0.207606i \(-0.933433\pi\)
−0.104840 + 0.994489i \(0.533433\pi\)
\(380\) 12.1977 3.77362i 0.625729 0.193583i
\(381\) −10.6291 7.72251i −0.544547 0.395636i
\(382\) −22.4259 + 2.25334i −1.14741 + 0.115291i
\(383\) −2.36387 14.9249i −0.120788 0.762627i −0.971508 0.237007i \(-0.923834\pi\)
0.850720 0.525620i \(-0.176166\pi\)
\(384\) 10.4270 + 4.39071i 0.532099 + 0.224063i
\(385\) −1.57347 + 4.03887i −0.0801914 + 0.205840i
\(386\) −4.86826 + 12.5108i −0.247788 + 0.636784i
\(387\) −0.194497 0.381723i −0.00988686 0.0194040i
\(388\) 17.2976 13.7471i 0.878151 0.697901i
\(389\) 14.4497 4.69499i 0.732628 0.238045i 0.0811383 0.996703i \(-0.474144\pi\)
0.651489 + 0.758658i \(0.274144\pi\)
\(390\) −12.1326 11.1359i −0.614361 0.563890i
\(391\) −6.67959 2.17033i −0.337801 0.109758i
\(392\) 54.6712 + 18.5974i 2.76131 + 0.939310i
\(393\) 11.5914 11.5914i 0.584709 0.584709i
\(394\) 27.8518 7.32640i 1.40315 0.369099i
\(395\) 14.8028 13.1957i 0.744808 0.663950i
\(396\) 0.500454 0.545682i 0.0251488 0.0274216i
\(397\) −7.85952 1.24483i −0.394458 0.0624760i −0.0439452 0.999034i \(-0.513993\pi\)
−0.350513 + 0.936558i \(0.613993\pi\)
\(398\) −6.00561 + 2.64100i −0.301034 + 0.132381i
\(399\) −14.9493 −0.748400
\(400\) −5.64051 19.1881i −0.282026 0.959407i
\(401\) 17.5609 0.876951 0.438476 0.898743i \(-0.355519\pi\)
0.438476 + 0.898743i \(0.355519\pi\)
\(402\) −5.41429 + 2.38097i −0.270040 + 0.118752i
\(403\) −34.2778 5.42907i −1.70750 0.270441i
\(404\) −3.59967 + 3.92499i −0.179090 + 0.195275i
\(405\) 1.93091 + 1.12765i 0.0959475 + 0.0560335i
\(406\) 11.6927 3.07576i 0.580298 0.152647i
\(407\) −1.11079 + 1.11079i −0.0550598 + 0.0550598i
\(408\) 2.65942 + 0.904649i 0.131661 + 0.0447868i
\(409\) 19.3261 + 6.27944i 0.955615 + 0.310498i 0.744995 0.667070i \(-0.232452\pi\)
0.210620 + 0.977568i \(0.432452\pi\)
\(410\) 1.94865 + 9.61850i 0.0962372 + 0.475024i
\(411\) −9.82969 + 3.19386i −0.484863 + 0.157542i
\(412\) 6.16126 4.89659i 0.303543 0.241238i
\(413\) 10.1941 + 20.0071i 0.501619 + 0.984483i
\(414\) −3.62670 + 9.32017i −0.178243 + 0.458061i
\(415\) −3.90312 14.8619i −0.191597 0.729543i
\(416\) −16.6060 + 24.3334i −0.814177 + 1.19304i
\(417\) −0.0370079 0.233659i −0.00181228 0.0114423i
\(418\) −1.48728 + 0.149441i −0.0727454 + 0.00730940i
\(419\) −28.1350 20.4413i −1.37449 0.998623i −0.997372 0.0724564i \(-0.976916\pi\)
−0.377115 0.926166i \(-0.623084\pi\)
\(420\) −0.330800 + 23.4143i −0.0161414 + 1.14250i
\(421\) 18.7080 13.5921i 0.911770 0.662440i −0.0296918 0.999559i \(-0.509453\pi\)
0.941462 + 0.337119i \(0.109453\pi\)
\(422\) 0.297292 0.265229i 0.0144719 0.0129112i
\(423\) 2.37377 4.65879i 0.115417 0.226518i
\(424\) −10.9636 5.77721i −0.532442 0.280566i
\(425\) −1.73337 4.65343i −0.0840810 0.225725i
\(426\) −6.96593 5.69388i −0.337500 0.275869i
\(427\) 40.2502 + 20.5085i 1.94784 + 0.992475i
\(428\) −0.0292152 0.675754i −0.00141217 0.0326638i
\(429\) 1.13324 + 1.55977i 0.0547132 + 0.0753062i
\(430\) 1.30520 + 0.363123i 0.0629425 + 0.0175114i
\(431\) 11.8267 16.2780i 0.569670 0.784083i −0.422846 0.906202i \(-0.638969\pi\)
0.992516 + 0.122118i \(0.0389687\pi\)
\(432\) 1.50159 3.70746i 0.0722453 0.178375i
\(433\) 5.40084 0.855409i 0.259548 0.0411083i −0.0253044 0.999680i \(-0.508056\pi\)
0.284852 + 0.958571i \(0.408056\pi\)
\(434\) 26.6868 + 41.5088i 1.28101 + 1.99248i
\(435\) 1.97318 + 3.07178i 0.0946069 + 0.147280i
\(436\) 20.9219 11.8252i 1.00198 0.566326i
\(437\) 17.9894 9.16607i 0.860551 0.438472i
\(438\) 18.6470 + 4.05283i 0.890989 + 0.193652i
\(439\) −8.72231 26.8445i −0.416293 1.28122i −0.911089 0.412209i \(-0.864757\pi\)
0.494796 0.869009i \(-0.335243\pi\)
\(440\) 0.201151 + 2.33276i 0.00958949 + 0.111210i
\(441\) 6.30917 19.4176i 0.300437 0.924649i
\(442\) −3.68621 + 6.31776i −0.175335 + 0.300505i
\(443\) −9.60281 9.60281i −0.456243 0.456243i 0.441177 0.897420i \(-0.354561\pi\)
−0.897420 + 0.441177i \(0.854561\pi\)
\(444\) −3.52258 + 7.72086i −0.167174 + 0.366416i
\(445\) −26.0815 + 11.4571i −1.23638 + 0.543119i
\(446\) −0.654114 + 11.4761i −0.0309732 + 0.543407i
\(447\) 2.95731 18.6717i 0.139876 0.883142i
\(448\) 41.5375 5.41444i 1.96246 0.255808i
\(449\) 6.32437i 0.298465i 0.988802 + 0.149233i \(0.0476803\pi\)
−0.988802 + 0.149233i \(0.952320\pi\)
\(450\) −6.75601 + 2.08718i −0.318481 + 0.0983905i
\(451\) 1.14892i 0.0541007i
\(452\) −26.2539 7.29291i −1.23488 0.343030i
\(453\) −1.17986 + 7.44934i −0.0554346 + 0.350001i
\(454\) 33.8552 + 1.92968i 1.58890 + 0.0905644i
\(455\) −59.5781 12.9738i −2.79306 0.608220i
\(456\) −7.24476 + 3.56696i −0.339267 + 0.167038i
\(457\) 23.2984 + 23.2984i 1.08985 + 1.08985i 0.995543 + 0.0943089i \(0.0300641\pi\)
0.0943089 + 0.995543i \(0.469936\pi\)
\(458\) 0.431190 + 0.251586i 0.0201482 + 0.0117558i
\(459\) 0.306902 0.944549i 0.0143250 0.0440878i
\(460\) −13.9583 28.3787i −0.650807 1.32316i
\(461\) −6.71640 20.6710i −0.312814 0.962743i −0.976645 0.214860i \(-0.931071\pi\)
0.663831 0.747883i \(-0.268929\pi\)
\(462\) 0.582236 2.67886i 0.0270881 0.124632i
\(463\) 4.31937 2.20083i 0.200738 0.102281i −0.350732 0.936476i \(-0.614067\pi\)
0.551470 + 0.834195i \(0.314067\pi\)
\(464\) 4.93264 4.28050i 0.228992 0.198717i
\(465\) −9.43519 + 11.5337i −0.437546 + 0.534863i
\(466\) −26.6867 + 17.1574i −1.23624 + 0.794802i
\(467\) 32.7718 5.19055i 1.51650 0.240190i 0.658006 0.753013i \(-0.271400\pi\)
0.858495 + 0.512823i \(0.171400\pi\)
\(468\) 8.68294 + 5.75244i 0.401369 + 0.265907i
\(469\) −12.8720 + 17.7167i −0.594372 + 0.818083i
\(470\) 5.77776 + 15.4922i 0.266508 + 0.714602i
\(471\) 4.61344 + 6.34986i 0.212576 + 0.292586i
\(472\) 9.71405 + 7.26352i 0.447125 + 0.334330i
\(473\) −0.141318 0.0720050i −0.00649780 0.00331079i
\(474\) −7.93741 + 9.71068i −0.364577 + 0.446026i
\(475\) 12.9826 + 5.93567i 0.595683 + 0.272347i
\(476\) 10.1927 2.06919i 0.467180 0.0948412i
\(477\) −1.98914 + 3.90391i −0.0910766 + 0.178748i
\(478\) −26.9340 30.1900i −1.23193 1.38086i
\(479\) −24.0616 + 17.4817i −1.09940 + 0.798761i −0.980962 0.194200i \(-0.937789\pi\)
−0.118439 + 0.992961i \(0.537789\pi\)
\(480\) 5.42643 + 11.4260i 0.247681 + 0.521524i
\(481\) −17.8776 12.9888i −0.815146 0.592238i
\(482\) 0.159143 + 1.58384i 0.00724879 + 0.0721421i
\(483\) 5.79251 + 36.5725i 0.263568 + 1.66411i
\(484\) −2.46865 + 21.5852i −0.112211 + 0.981145i
\(485\) 24.6623 + 1.41553i 1.11986 + 0.0642761i
\(486\) −1.31795 0.512846i −0.0597834 0.0232632i
\(487\) −17.4506 34.2488i −0.790764 1.55196i −0.833270 0.552866i \(-0.813534\pi\)
0.0425064 0.999096i \(-0.486466\pi\)
\(488\) 24.3995 + 0.335027i 1.10452 + 0.0151659i
\(489\) 9.07483 2.94859i 0.410378 0.133340i
\(490\) 31.7465 + 56.2197i 1.43416 + 2.53975i
\(491\) 5.04088 + 1.63788i 0.227492 + 0.0739166i 0.420545 0.907272i \(-0.361839\pi\)
−0.193053 + 0.981188i \(0.561839\pi\)
\(492\) −2.17121 5.81472i −0.0978856 0.262148i
\(493\) 1.14662 1.14662i 0.0516413 0.0516413i
\(494\) −5.34920 20.3353i −0.240672 0.914928i
\(495\) 0.823702 0.0824344i 0.0370226 0.00370515i
\(496\) 22.8372 + 13.7485i 1.02542 + 0.617326i
\(497\) −32.9009 5.21099i −1.47581 0.233745i
\(498\) 3.91210 + 8.89607i 0.175305 + 0.398642i
\(499\) 24.3883 1.09177 0.545884 0.837861i \(-0.316194\pi\)
0.545884 + 0.837861i \(0.316194\pi\)
\(500\) 9.58402 20.2026i 0.428610 0.903490i
\(501\) −13.3732 −0.597473
\(502\) 1.13904 + 2.59016i 0.0508378 + 0.115605i
\(503\) −23.5109 3.72375i −1.04830 0.166034i −0.391559 0.920153i \(-0.628064\pi\)
−0.656738 + 0.754119i \(0.728064\pi\)
\(504\) −2.11574 14.6581i −0.0942426 0.652922i
\(505\) −5.92473 + 0.592935i −0.263647 + 0.0263853i
\(506\) 0.941887 + 3.58064i 0.0418720 + 0.159179i
\(507\) −9.98506 + 9.98506i −0.443452 + 0.443452i
\(508\) −24.6165 + 9.19177i −1.09218 + 0.407819i
\(509\) −23.6141 7.67268i −1.04668 0.340086i −0.265313 0.964162i \(-0.585475\pi\)
−0.781363 + 0.624077i \(0.785475\pi\)
\(510\) 1.54427 + 2.73475i 0.0683815 + 0.121097i
\(511\) 67.1944 21.8328i 2.97250 0.965825i
\(512\) 18.8381 12.5350i 0.832535 0.553973i
\(513\) 1.29616 + 2.54385i 0.0572267 + 0.112314i
\(514\) −12.2606 4.77089i −0.540791 0.210435i
\(515\) 8.78453 + 0.504202i 0.387093 + 0.0222178i
\(516\) −0.851285 0.0973597i −0.0374757 0.00428602i
\(517\) −0.302812 1.91188i −0.0133177 0.0840845i
\(518\) 3.14135 + 31.2637i 0.138023 + 1.37365i
\(519\) 2.09944 + 1.52533i 0.0921551 + 0.0669546i
\(520\) −31.9685 + 7.92819i −1.40191 + 0.347674i
\(521\) −15.1720 + 11.0231i −0.664697 + 0.482930i −0.868246 0.496134i \(-0.834752\pi\)
0.203549 + 0.979065i \(0.434752\pi\)
\(522\) −1.53719 1.72301i −0.0672808 0.0754141i
\(523\) −0.351650 + 0.690152i −0.0153766 + 0.0301782i −0.898567 0.438836i \(-0.855391\pi\)
0.883190 + 0.469015i \(0.155391\pi\)
\(524\) −6.52266 32.1301i −0.284944 1.40361i
\(525\) −17.7109 + 19.2807i −0.772967 + 0.841480i
\(526\) 3.98875 4.87986i 0.173918 0.212772i
\(527\) 5.89710 + 3.00472i 0.256882 + 0.130888i
\(528\) −0.357022 1.43716i −0.0155374 0.0625444i
\(529\) −15.8756 21.8510i −0.690245 0.950041i
\(530\) −4.84157 12.9820i −0.210304 0.563900i
\(531\) 2.52065 3.46937i 0.109387 0.150558i
\(532\) −16.5128 + 24.9249i −0.715919 + 1.08063i
\(533\) 15.9630 2.52829i 0.691435 0.109512i
\(534\) 15.1549 9.74337i 0.655815 0.421637i
\(535\) 0.478823 0.585320i 0.0207013 0.0253056i
\(536\) −2.01076 + 11.6572i −0.0868516 + 0.503515i
\(537\) 2.64484 1.34761i 0.114133 0.0581538i
\(538\) 8.04809 37.0292i 0.346978 1.59644i
\(539\) −2.33572 7.18861i −0.100607 0.309636i
\(540\) 4.01299 1.97381i 0.172691 0.0849394i
\(541\) −3.92130 + 12.0685i −0.168590 + 0.518866i −0.999283 0.0378646i \(-0.987944\pi\)
0.830693 + 0.556731i \(0.187944\pi\)
\(542\) −10.7872 6.29397i −0.463348 0.270349i
\(543\) 9.13332 + 9.13332i 0.391948 + 0.391948i
\(544\) 4.44588 3.43479i 0.190615 0.147265i
\(545\) 26.2539 + 5.71706i 1.12459 + 0.244892i
\(546\) 38.5011 + 2.19449i 1.64769 + 0.0939155i
\(547\) −2.48483 + 15.6886i −0.106244 + 0.670797i 0.875876 + 0.482537i \(0.160285\pi\)
−0.982119 + 0.188260i \(0.939715\pi\)
\(548\) −5.53261 + 19.9169i −0.236341 + 0.850810i
\(549\) 8.62735i 0.368206i
\(550\) −1.56929 + 2.09526i −0.0669148 + 0.0893422i
\(551\) 4.66154i 0.198588i
\(552\) 11.5335 + 16.3417i 0.490899 + 0.695550i
\(553\) −7.26425 + 45.8647i −0.308907 + 1.95036i
\(554\) 2.33690 40.9996i 0.0992855 1.74191i
\(555\) −8.68696 + 3.81603i −0.368741 + 0.161981i
\(556\) −0.430458 0.196393i −0.0182555 0.00832890i
\(557\) −27.0131 27.0131i −1.14458 1.14458i −0.987602 0.156979i \(-0.949824\pi\)
−0.156979 0.987602i \(-0.550176\pi\)
\(558\) 4.74952 8.14014i 0.201063 0.344600i
\(559\) 0.689449 2.12191i 0.0291606 0.0897471i
\(560\) 38.6732 + 26.4146i 1.63424 + 1.11622i
\(561\) −0.113619 0.349682i −0.00479698 0.0147636i
\(562\) −6.11027 1.32804i −0.257746 0.0560198i
\(563\) −13.9788 + 7.12253i −0.589134 + 0.300179i −0.723030 0.690817i \(-0.757251\pi\)
0.133896 + 0.990995i \(0.457251\pi\)
\(564\) −5.14557 9.10382i −0.216667 0.383340i
\(565\) −16.4647 25.6316i −0.692675 1.07833i
\(566\) −0.725239 1.12804i −0.0304841 0.0474150i
\(567\) −5.17165 + 0.819109i −0.217189 + 0.0343993i
\(568\) −17.1879 + 5.32492i −0.721187 + 0.223429i
\(569\) −14.3030 + 19.6864i −0.599612 + 0.825296i −0.995673 0.0929289i \(-0.970377\pi\)
0.396060 + 0.918224i \(0.370377\pi\)
\(570\) −8.69805 2.41990i −0.364321 0.101359i
\(571\) −10.6807 14.7008i −0.446975 0.615208i 0.524769 0.851244i \(-0.324152\pi\)
−0.971744 + 0.236036i \(0.924152\pi\)
\(572\) 3.85236 0.166551i 0.161075 0.00696383i
\(573\) 14.2003 + 7.23541i 0.593225 + 0.302263i
\(574\) −17.7931 14.5439i −0.742670 0.607051i
\(575\) 9.49078 34.0611i 0.395793 1.42044i
\(576\) −4.52281 6.59880i −0.188450 0.274950i
\(577\) −15.2366 + 29.9035i −0.634308 + 1.24490i 0.320380 + 0.947289i \(0.396189\pi\)
−0.954688 + 0.297610i \(0.903811\pi\)
\(578\) −16.8990 + 15.0764i −0.702904 + 0.627096i
\(579\) 7.67971 5.57963i 0.319158 0.231882i
\(580\) 7.30112 + 0.103151i 0.303163 + 0.00428313i
\(581\) 29.1099 + 21.1496i 1.20768 + 0.877431i
\(582\) −15.5452 + 1.56197i −0.644370 + 0.0647458i
\(583\) 0.253747 + 1.60209i 0.0105091 + 0.0663520i
\(584\) 27.3545 26.6135i 1.13194 1.10127i
\(585\) 2.95795 + 11.2630i 0.122296 + 0.465668i
\(586\) −9.50083 + 24.4159i −0.392476 + 1.00861i
\(587\) 6.48594 + 12.7294i 0.267703 + 0.525397i 0.985252 0.171111i \(-0.0547358\pi\)
−0.717548 + 0.696509i \(0.754736\pi\)
\(588\) −25.4060 31.9677i −1.04773 1.31833i
\(589\) −18.0949 + 5.87940i −0.745589 + 0.242257i
\(590\) 2.69269 + 13.2910i 0.110856 + 0.547183i
\(591\) −19.3674 6.29287i −0.796670 0.258854i
\(592\) 8.98201 + 14.4016i 0.369158 + 0.591900i
\(593\) −1.73642 + 1.73642i −0.0713063 + 0.0713063i −0.741861 0.670554i \(-0.766056\pi\)
0.670554 + 0.741861i \(0.266056\pi\)
\(594\) −0.506332 + 0.133191i −0.0207751 + 0.00546488i
\(595\) 10.0413 + 5.86411i 0.411652 + 0.240405i
\(596\) −27.8648 25.5552i −1.14139 1.04678i
\(597\) 4.58197 + 0.725713i 0.187528 + 0.0297015i
\(598\) −47.6763 + 20.9659i −1.94963 + 0.857361i
\(599\) −4.92161 −0.201092 −0.100546 0.994932i \(-0.532059\pi\)
−0.100546 + 0.994932i \(0.532059\pi\)
\(600\) −3.98264 + 13.5698i −0.162591 + 0.553983i
\(601\) −21.9172 −0.894020 −0.447010 0.894529i \(-0.647511\pi\)
−0.447010 + 0.894529i \(0.647511\pi\)
\(602\) −2.90403 + 1.27706i −0.118359 + 0.0520492i
\(603\) 4.13082 + 0.654258i 0.168220 + 0.0266435i
\(604\) 11.1170 + 10.1956i 0.452346 + 0.414854i
\(605\) −18.1318 + 16.1634i −0.737163 + 0.657135i
\(606\) 3.64195 0.958014i 0.147944 0.0389167i
\(607\) −24.0001 + 24.0001i −0.974133 + 0.974133i −0.999674 0.0255408i \(-0.991869\pi\)
0.0255408 + 0.999674i \(0.491869\pi\)
\(608\) −2.05527 + 16.0192i −0.0833520 + 0.649664i
\(609\) −8.13081 2.64186i −0.329477 0.107054i
\(610\) 20.0993 + 18.4481i 0.813796 + 0.746941i
\(611\) 25.8971 8.41448i 1.04769 0.340414i
\(612\) −1.23585 1.55503i −0.0499561 0.0628585i
\(613\) −8.12093 15.9382i −0.328001 0.643738i 0.666838 0.745203i \(-0.267647\pi\)
−0.994839 + 0.101464i \(0.967647\pi\)
\(614\) −9.54544 + 24.5306i −0.385223 + 0.989973i
\(615\) 2.51908 6.46611i 0.101579 0.260739i
\(616\) −3.82334 3.92979i −0.154047 0.158336i
\(617\) −5.91551 37.3491i −0.238150 1.50362i −0.759631 0.650354i \(-0.774620\pi\)
0.521482 0.853263i \(-0.325380\pi\)
\(618\) −5.53709 + 0.556362i −0.222734 + 0.0223802i
\(619\) −17.2330 12.5205i −0.692654 0.503243i 0.184877 0.982762i \(-0.440811\pi\)
−0.877532 + 0.479519i \(0.840811\pi\)
\(620\) 8.80820 + 28.4713i 0.353746 + 1.14343i
\(621\) 5.72114 4.15665i 0.229582 0.166801i
\(622\) 22.1138 19.7289i 0.886684 0.791056i
\(623\) 30.2843 59.4362i 1.21331 2.38126i
\(624\) 19.1821 8.12301i 0.767899 0.325180i
\(625\) 23.0364 9.71205i 0.921456 0.388482i
\(626\) −16.4024 13.4072i −0.655572 0.535858i
\(627\) 0.941761 + 0.479851i 0.0376103 + 0.0191634i
\(628\) 15.6831 0.678033i 0.625822 0.0270565i
\(629\) 2.47705 + 3.40936i 0.0987663 + 0.135940i
\(630\) 9.15037 13.8000i 0.364560 0.549805i
\(631\) 4.06255 5.59161i 0.161727 0.222599i −0.720461 0.693496i \(-0.756070\pi\)
0.882188 + 0.470897i \(0.156070\pi\)
\(632\) 7.42307 + 23.9603i 0.295274 + 0.953091i
\(633\) −0.278249 + 0.0440703i −0.0110594 + 0.00175164i
\(634\) −0.512742 0.797520i −0.0203636 0.0316736i
\(635\) −27.3742 10.6645i −1.08631 0.423207i
\(636\) 4.31182 + 7.62870i 0.170975 + 0.302498i
\(637\) 94.7379 48.2714i 3.75365 1.91258i
\(638\) −0.835332 0.181555i −0.0330711 0.00718783i
\(639\) 1.96590 + 6.05041i 0.0777697 + 0.239350i
\(640\) 25.0446 + 3.57353i 0.989973 + 0.141256i
\(641\) −0.733499 + 2.25748i −0.0289715 + 0.0891650i −0.964497 0.264095i \(-0.914927\pi\)
0.935525 + 0.353260i \(0.114927\pi\)
\(642\) −0.241031 + 0.413101i −0.00951275 + 0.0163038i
\(643\) −4.36401 4.36401i −0.172100 0.172100i 0.615801 0.787901i \(-0.288832\pi\)
−0.787901 + 0.615801i \(0.788832\pi\)
\(644\) 67.3756 + 30.7396i 2.65497 + 1.21131i
\(645\) −0.637458 0.715090i −0.0250999 0.0281566i
\(646\) −0.228192 + 4.00350i −0.00897809 + 0.157516i
\(647\) −6.93647 + 43.7951i −0.272701 + 1.72176i 0.347809 + 0.937565i \(0.386926\pi\)
−0.620510 + 0.784199i \(0.713074\pi\)
\(648\) −2.31086 + 1.63093i −0.0907790 + 0.0640692i
\(649\) 1.58760i 0.0623189i
\(650\) −32.5647 17.1928i −1.27729 0.674357i
\(651\) 34.8939i 1.36760i
\(652\) 5.10774 18.3874i 0.200034 0.720107i
\(653\) 3.85995 24.3708i 0.151052 0.953702i −0.789426 0.613846i \(-0.789622\pi\)
0.940477 0.339856i \(-0.110378\pi\)
\(654\) −16.9660 0.967030i −0.663423 0.0378139i
\(655\) 18.4853 31.6528i 0.722280 1.23678i
\(656\) −12.0932 2.80280i −0.472159 0.109431i
\(657\) −9.54119 9.54119i −0.372237 0.372237i
\(658\) −33.4421 19.5124i −1.30371 0.760673i
\(659\) 2.24945 6.92309i 0.0876260 0.269685i −0.897636 0.440738i \(-0.854717\pi\)
0.985262 + 0.171053i \(0.0547168\pi\)
\(660\) 0.772406 1.46441i 0.0300659 0.0570022i
\(661\) −4.69519 14.4503i −0.182622 0.562052i 0.817277 0.576244i \(-0.195482\pi\)
−0.999899 + 0.0141920i \(0.995482\pi\)
\(662\) 8.91041 40.9967i 0.346313 1.59338i
\(663\) 4.60842 2.34811i 0.178976 0.0911929i
\(664\) 19.1537 + 3.30382i 0.743306 + 0.128213i
\(665\) −32.3312 + 8.49099i −1.25375 + 0.329267i
\(666\) 5.04764 3.24523i 0.195592 0.125750i
\(667\) 11.4042 1.80624i 0.441571 0.0699379i
\(668\) −14.7719 + 22.2972i −0.571542 + 0.862705i
\(669\) 4.77750 6.57566i 0.184709 0.254230i
\(670\) −10.3573 + 8.22462i −0.400136 + 0.317745i
\(671\) −1.87735 2.58395i −0.0724743 0.0997523i
\(672\) −26.7764 12.6635i −1.03292 0.488506i
\(673\) −2.83209 1.44302i −0.109169 0.0556245i 0.398553 0.917145i \(-0.369512\pi\)
−0.507722 + 0.861521i \(0.669512\pi\)
\(674\) 15.3910 18.8294i 0.592839 0.725283i
\(675\) 4.81652 + 1.34207i 0.185388 + 0.0516565i
\(676\) 5.61874 + 27.6775i 0.216106 + 1.06452i
\(677\) 18.1131 35.5491i 0.696145 1.36626i −0.223964 0.974597i \(-0.571900\pi\)
0.920108 0.391664i \(-0.128100\pi\)
\(678\) 12.8266 + 14.3772i 0.492604 + 0.552153i
\(679\) −46.7983 + 34.0010i −1.79595 + 1.30484i
\(680\) 6.26542 + 0.445995i 0.240268 + 0.0171031i
\(681\) −19.3987 14.0940i −0.743358 0.540081i
\(682\) −0.348818 3.47154i −0.0133569 0.132932i
\(683\) 5.05528 + 31.9178i 0.193435 + 1.22130i 0.873013 + 0.487697i \(0.162163\pi\)
−0.679578 + 0.733603i \(0.737837\pi\)
\(684\) 5.67308 + 0.648818i 0.216916 + 0.0248082i
\(685\) −19.4449 + 12.4906i −0.742951 + 0.477241i
\(686\) −92.5891 36.0287i −3.53507 1.37558i
\(687\) −0.160259 0.314527i −0.00611427 0.0119999i
\(688\) −1.10264 + 1.31181i −0.0420379 + 0.0500121i
\(689\) −21.7009 + 7.05106i −0.826740 + 0.268624i
\(690\) −2.54984 + 22.2169i −0.0970708 + 0.845783i
\(691\) −2.35753 0.766009i −0.0896848 0.0291404i 0.263831 0.964569i \(-0.415014\pi\)
−0.353516 + 0.935429i \(0.615014\pi\)
\(692\) 4.86219 1.81553i 0.184833 0.0690163i
\(693\) −1.37070 + 1.37070i −0.0520687 + 0.0520687i
\(694\) −5.36602 20.3993i −0.203691 0.774345i
\(695\) −0.212753 0.484320i −0.00807018 0.0183713i
\(696\) −4.57073 + 0.659738i −0.173253 + 0.0250073i
\(697\) −3.04425 0.482161i −0.115309 0.0182632i
\(698\) −4.60748 10.4774i −0.174396 0.396574i
\(699\) 22.4339 0.848527
\(700\) 12.5836 + 50.8266i 0.475614 + 1.92107i
\(701\) −9.19901 −0.347442 −0.173721 0.984795i \(-0.555579\pi\)
−0.173721 + 0.984795i \(0.555579\pi\)
\(702\) −2.96476 6.74183i −0.111898 0.254454i
\(703\) −11.9654 1.89514i −0.451285 0.0714765i
\(704\) −2.79054 0.992204i −0.105172 0.0373951i
\(705\) 2.48769 11.4240i 0.0936918 0.430251i
\(706\) 2.57799 + 9.80038i 0.0970239 + 0.368842i
\(707\) 9.85920 9.85920i 0.370793 0.370793i
\(708\) −3.00022 8.03489i −0.112755 0.301970i
\(709\) −24.6840 8.02031i −0.927027 0.301209i −0.193681 0.981065i \(-0.562043\pi\)
−0.733346 + 0.679855i \(0.762043\pi\)
\(710\) −18.2995 8.35776i −0.686766 0.313661i
\(711\) 8.43442 2.74051i 0.316316 0.102777i
\(712\) 0.494724 36.0301i 0.0185406 1.35028i
\(713\) 21.3950 + 41.9900i 0.801248 + 1.57254i
\(714\) −6.85371 2.66695i −0.256494 0.0998079i
\(715\) 3.33681 + 2.72969i 0.124790 + 0.102084i
\(716\) 0.674576 5.89830i 0.0252101 0.220430i
\(717\) 4.47533 + 28.2561i 0.167134 + 1.05524i
\(718\) −2.78484 27.7156i −0.103929 1.03434i
\(719\) 8.69185 + 6.31500i 0.324151 + 0.235510i 0.737945 0.674861i \(-0.235796\pi\)
−0.413793 + 0.910371i \(0.635796\pi\)
\(720\) 1.14175 8.87110i 0.0425503 0.330606i
\(721\) −16.6692 + 12.1109i −0.620793 + 0.451033i
\(722\) 10.2139 + 11.4486i 0.380120 + 0.426072i
\(723\) 0.511006 1.00291i 0.0190045 0.0372984i
\(724\) 25.3165 5.13946i 0.940881 0.191006i
\(725\) 6.01219 + 5.52267i 0.223287 + 0.205107i
\(726\) 9.72249 11.8946i 0.360835 0.441448i
\(727\) −20.3289 10.3581i −0.753958 0.384161i 0.0343757 0.999409i \(-0.489056\pi\)
−0.788333 + 0.615248i \(0.789056\pi\)
\(728\) 46.1866 61.7688i 1.71179 2.28931i
\(729\) 0.587785 + 0.809017i 0.0217698 + 0.0299636i
\(730\) 42.6304 1.82609i 1.57782 0.0675868i
\(731\) −0.250094 + 0.344225i −0.00925007 + 0.0127316i
\(732\) −14.3844 9.52965i −0.531662 0.352226i
\(733\) 3.59155 0.568846i 0.132657 0.0210108i −0.0897528 0.995964i \(-0.528608\pi\)
0.222410 + 0.974953i \(0.428608\pi\)
\(734\) 1.37824 0.886101i 0.0508719 0.0327066i
\(735\) 2.61606 45.5786i 0.0964947 1.68119i
\(736\) 39.9863 1.17900i 1.47392 0.0434585i
\(737\) 1.37958 0.702931i 0.0508174 0.0258928i
\(738\) −0.932144 + 4.28878i −0.0343127 + 0.157872i
\(739\) 7.22761 + 22.2443i 0.265872 + 0.818269i 0.991491 + 0.130173i \(0.0415533\pi\)
−0.725620 + 0.688096i \(0.758447\pi\)
\(740\) −3.23303 + 18.6989i −0.118849 + 0.687385i
\(741\) −4.59458 + 14.1407i −0.168786 + 0.519471i
\(742\) 28.0234 + 16.3508i 1.02877 + 0.600255i
\(743\) −0.983008 0.983008i −0.0360631 0.0360631i 0.688845 0.724908i \(-0.258118\pi\)
−0.724908 + 0.688845i \(0.758118\pi\)
\(744\) −8.32581 16.9104i −0.305239 0.619964i
\(745\) −4.20944 42.0616i −0.154222 1.54102i
\(746\) 8.02454 + 0.457384i 0.293799 + 0.0167460i
\(747\) 1.07499 6.78724i 0.0393320 0.248332i
\(748\) −0.708526 0.196817i −0.0259063 0.00719636i
\(749\) 1.77082i 0.0647042i
\(750\) −13.4259 + 8.35132i −0.490245 + 0.304947i
\(751\) 4.90529i 0.178997i −0.995987 0.0894983i \(-0.971474\pi\)
0.995987 0.0894983i \(-0.0285264\pi\)
\(752\) −20.8625 1.47674i −0.760778 0.0538512i
\(753\) 0.312993 1.97616i 0.0114061 0.0720153i
\(754\) 0.684293 12.0055i 0.0249205 0.437216i
\(755\) 1.67941 + 16.7810i 0.0611201 + 0.610725i
\(756\) −4.34683 + 9.52747i −0.158093 + 0.346511i
\(757\) 7.38605 + 7.38605i 0.268451 + 0.268451i 0.828476 0.560025i \(-0.189208\pi\)
−0.560025 + 0.828476i \(0.689208\pi\)
\(758\) 18.5747 31.8349i 0.674662 1.15630i
\(759\) 0.809015 2.48989i 0.0293654 0.0903774i
\(760\) −13.6425 + 11.8293i −0.494864 + 0.429093i
\(761\) −8.40625 25.8718i −0.304726 0.937851i −0.979779 0.200082i \(-0.935879\pi\)
0.675053 0.737769i \(-0.264121\pi\)
\(762\) 18.1565 + 3.94622i 0.657740 + 0.142956i
\(763\) −56.0607 + 28.5644i −2.02953 + 1.03410i
\(764\) 27.7490 15.6840i 1.00392 0.567428i
\(765\) 0.127255 2.21712i 0.00460092 0.0801601i
\(766\) 11.5568 + 17.9756i 0.417566 + 0.649483i
\(767\) 22.0580 3.49364i 0.796468 0.126148i
\(768\) −15.9980 + 0.251934i −0.577279 + 0.00909090i
\(769\) 4.36004 6.00107i 0.157227 0.216404i −0.723135 0.690707i \(-0.757300\pi\)
0.880362 + 0.474302i \(0.157300\pi\)
\(770\) −0.262340 6.12435i −0.00945407 0.220706i
\(771\) 5.46804 + 7.52611i 0.196926 + 0.271046i
\(772\) −0.820033 18.9676i −0.0295136 0.682658i
\(773\) −42.1935 21.4986i −1.51759 0.773252i −0.520831 0.853660i \(-0.674378\pi\)