Properties

Label 171.2.g.c.106.15
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 106.15
Character \(\chi\) \(=\) 171.106
Dual form 171.2.g.c.121.15

$q$-expansion

\(f(q)\) \(=\) \(q+(1.30160 + 2.25443i) q^{2} +(-1.17382 - 1.27363i) q^{3} +(-2.38830 + 4.13666i) q^{4} +2.87794 q^{5} +(1.34348 - 4.30405i) q^{6} +(-1.80240 + 3.12185i) q^{7} -7.22804 q^{8} +(-0.244287 + 2.99004i) q^{9} +O(q^{10})\) \(q+(1.30160 + 2.25443i) q^{2} +(-1.17382 - 1.27363i) q^{3} +(-2.38830 + 4.13666i) q^{4} +2.87794 q^{5} +(1.34348 - 4.30405i) q^{6} +(-1.80240 + 3.12185i) q^{7} -7.22804 q^{8} +(-0.244287 + 2.99004i) q^{9} +(3.74592 + 6.48812i) q^{10} +(-0.154676 + 0.267906i) q^{11} +(8.07204 - 1.81388i) q^{12} +(2.73977 - 4.74542i) q^{13} -9.38399 q^{14} +(-3.37819 - 3.66545i) q^{15} +(-4.63138 - 8.02178i) q^{16} +(1.60627 - 2.78214i) q^{17} +(-7.05879 + 3.34109i) q^{18} +(2.06434 - 3.83907i) q^{19} +(-6.87340 + 11.9051i) q^{20} +(6.09179 - 1.36889i) q^{21} -0.805300 q^{22} +(-0.598787 + 1.03713i) q^{23} +(8.48443 + 9.20588i) q^{24} +3.28256 q^{25} +14.2643 q^{26} +(4.09496 - 3.19864i) q^{27} +(-8.60936 - 14.9118i) q^{28} -3.08188 q^{29} +(3.86645 - 12.3868i) q^{30} +(-0.960973 - 1.66445i) q^{31} +(4.82833 - 8.36291i) q^{32} +(0.522776 - 0.117474i) q^{33} +8.36286 q^{34} +(-5.18721 + 8.98451i) q^{35} +(-11.7853 - 8.15165i) q^{36} +8.85095 q^{37} +(11.3419 - 0.343002i) q^{38} +(-9.25992 + 2.08081i) q^{39} -20.8019 q^{40} -8.37681 q^{41} +(11.0151 + 11.9518i) q^{42} +(0.880584 + 1.52522i) q^{43} +(-0.738824 - 1.27968i) q^{44} +(-0.703043 + 8.60516i) q^{45} -3.11751 q^{46} -0.974401 q^{47} +(-4.78040 + 15.3148i) q^{48} +(-2.99729 - 5.19146i) q^{49} +(4.27257 + 7.40031i) q^{50} +(-5.42891 + 1.21994i) q^{51} +(13.0868 + 22.6670i) q^{52} +(-2.22298 - 3.85031i) q^{53} +(12.5411 + 5.06847i) q^{54} +(-0.445148 + 0.771019i) q^{55} +(13.0278 - 22.5648i) q^{56} +(-7.31275 + 1.87717i) q^{57} +(-4.01136 - 6.94788i) q^{58} -0.263711 q^{59} +(23.2309 - 5.22024i) q^{60} +2.25209 q^{61} +(2.50160 - 4.33289i) q^{62} +(-8.89414 - 6.15187i) q^{63} +6.61261 q^{64} +(7.88490 - 13.6570i) q^{65} +(0.945279 + 1.02566i) q^{66} +(-0.917968 + 1.58997i) q^{67} +(7.67253 + 13.2892i) q^{68} +(2.02379 - 0.454769i) q^{69} -27.0066 q^{70} +(-5.72411 + 9.91445i) q^{71} +(1.76571 - 21.6121i) q^{72} +(-3.24565 + 5.62163i) q^{73} +(11.5204 + 19.9539i) q^{74} +(-3.85314 - 4.18078i) q^{75} +(10.9507 + 17.7084i) q^{76} +(-0.557575 - 0.965747i) q^{77} +(-16.7437 - 18.1675i) q^{78} +(-4.50635 - 7.80523i) q^{79} +(-13.3289 - 23.0862i) q^{80} +(-8.88065 - 1.46085i) q^{81} +(-10.9032 - 18.8849i) q^{82} +(1.71635 - 2.97281i) q^{83} +(-8.88638 + 28.4690i) q^{84} +(4.62276 - 8.00685i) q^{85} +(-2.29233 + 3.97043i) q^{86} +(3.61757 + 3.92518i) q^{87} +(1.11800 - 1.93644i) q^{88} +(-0.421650 - 0.730320i) q^{89} +(-20.3148 + 9.61548i) q^{90} +(9.87632 + 17.1063i) q^{91} +(-2.86017 - 4.95396i) q^{92} +(-0.991895 + 3.17770i) q^{93} +(-1.26828 - 2.19672i) q^{94} +(5.94107 - 11.0486i) q^{95} +(-16.3189 + 3.66704i) q^{96} +(3.72160 + 6.44600i) q^{97} +(7.80252 - 13.5144i) q^{98} +(-0.763264 - 0.527932i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.30160 + 2.25443i 0.920367 + 1.59412i 0.798847 + 0.601534i \(0.205443\pi\)
0.121520 + 0.992589i \(0.461223\pi\)
\(3\) −1.17382 1.27363i −0.677706 0.735333i
\(4\) −2.38830 + 4.13666i −1.19415 + 2.06833i
\(5\) 2.87794 1.28706 0.643528 0.765423i \(-0.277470\pi\)
0.643528 + 0.765423i \(0.277470\pi\)
\(6\) 1.34348 4.30405i 0.548472 1.75712i
\(7\) −1.80240 + 3.12185i −0.681243 + 1.17995i 0.293359 + 0.956002i \(0.405227\pi\)
−0.974602 + 0.223945i \(0.928106\pi\)
\(8\) −7.22804 −2.55550
\(9\) −0.244287 + 2.99004i −0.0814289 + 0.996679i
\(10\) 3.74592 + 6.48812i 1.18456 + 2.05173i
\(11\) −0.154676 + 0.267906i −0.0466364 + 0.0807767i −0.888401 0.459068i \(-0.848184\pi\)
0.841765 + 0.539844i \(0.181517\pi\)
\(12\) 8.07204 1.81388i 2.33020 0.523622i
\(13\) 2.73977 4.74542i 0.759875 1.31614i −0.183039 0.983106i \(-0.558593\pi\)
0.942914 0.333036i \(-0.108073\pi\)
\(14\) −9.38399 −2.50798
\(15\) −3.37819 3.66545i −0.872246 0.946415i
\(16\) −4.63138 8.02178i −1.15784 2.00545i
\(17\) 1.60627 2.78214i 0.389578 0.674769i −0.602815 0.797881i \(-0.705954\pi\)
0.992393 + 0.123112i \(0.0392875\pi\)
\(18\) −7.05879 + 3.34109i −1.66377 + 0.787503i
\(19\) 2.06434 3.83907i 0.473593 0.880744i
\(20\) −6.87340 + 11.9051i −1.53694 + 2.66206i
\(21\) 6.09179 1.36889i 1.32934 0.298717i
\(22\) −0.805300 −0.171691
\(23\) −0.598787 + 1.03713i −0.124856 + 0.216256i −0.921677 0.387959i \(-0.873180\pi\)
0.796821 + 0.604216i \(0.206513\pi\)
\(24\) 8.48443 + 9.20588i 1.73188 + 1.87914i
\(25\) 3.28256 0.656513
\(26\) 14.2643 2.79746
\(27\) 4.09496 3.19864i 0.788076 0.615578i
\(28\) −8.60936 14.9118i −1.62702 2.81807i
\(29\) −3.08188 −0.572290 −0.286145 0.958186i \(-0.592374\pi\)
−0.286145 + 0.958186i \(0.592374\pi\)
\(30\) 3.86645 12.3868i 0.705915 2.26152i
\(31\) −0.960973 1.66445i −0.172596 0.298945i 0.766731 0.641969i \(-0.221882\pi\)
−0.939327 + 0.343024i \(0.888549\pi\)
\(32\) 4.82833 8.36291i 0.853536 1.47837i
\(33\) 0.522776 0.117474i 0.0910036 0.0204495i
\(34\) 8.36286 1.43422
\(35\) −5.18721 + 8.98451i −0.876798 + 1.51866i
\(36\) −11.7853 8.15165i −1.96422 1.35861i
\(37\) 8.85095 1.45509 0.727544 0.686061i \(-0.240662\pi\)
0.727544 + 0.686061i \(0.240662\pi\)
\(38\) 11.3419 0.343002i 1.83989 0.0556423i
\(39\) −9.25992 + 2.08081i −1.48277 + 0.333196i
\(40\) −20.8019 −3.28907
\(41\) −8.37681 −1.30824 −0.654119 0.756392i \(-0.726960\pi\)
−0.654119 + 0.756392i \(0.726960\pi\)
\(42\) 11.0151 + 11.9518i 1.69967 + 1.84420i
\(43\) 0.880584 + 1.52522i 0.134288 + 0.232593i 0.925325 0.379175i \(-0.123792\pi\)
−0.791037 + 0.611768i \(0.790459\pi\)
\(44\) −0.738824 1.27968i −0.111382 0.192919i
\(45\) −0.703043 + 8.60516i −0.104804 + 1.28278i
\(46\) −3.11751 −0.459652
\(47\) −0.974401 −0.142131 −0.0710655 0.997472i \(-0.522640\pi\)
−0.0710655 + 0.997472i \(0.522640\pi\)
\(48\) −4.78040 + 15.3148i −0.689992 + 2.21050i
\(49\) −2.99729 5.19146i −0.428184 0.741637i
\(50\) 4.27257 + 7.40031i 0.604233 + 1.04656i
\(51\) −5.42891 + 1.21994i −0.760199 + 0.170825i
\(52\) 13.0868 + 22.6670i 1.81481 + 3.14335i
\(53\) −2.22298 3.85031i −0.305349 0.528880i 0.671990 0.740560i \(-0.265440\pi\)
−0.977339 + 0.211680i \(0.932107\pi\)
\(54\) 12.5411 + 5.06847i 1.70663 + 0.689732i
\(55\) −0.445148 + 0.771019i −0.0600237 + 0.103964i
\(56\) 13.0278 22.5648i 1.74092 3.01535i
\(57\) −7.31275 + 1.87717i −0.968597 + 0.248637i
\(58\) −4.01136 6.94788i −0.526717 0.912301i
\(59\) −0.263711 −0.0343322 −0.0171661 0.999853i \(-0.505464\pi\)
−0.0171661 + 0.999853i \(0.505464\pi\)
\(60\) 23.2309 5.22024i 2.99909 0.673930i
\(61\) 2.25209 0.288351 0.144175 0.989552i \(-0.453947\pi\)
0.144175 + 0.989552i \(0.453947\pi\)
\(62\) 2.50160 4.33289i 0.317703 0.550278i
\(63\) −8.89414 6.15187i −1.12056 0.775063i
\(64\) 6.61261 0.826576
\(65\) 7.88490 13.6570i 0.978002 1.69395i
\(66\) 0.945279 + 1.02566i 0.116356 + 0.126250i
\(67\) −0.917968 + 1.58997i −0.112148 + 0.194245i −0.916636 0.399723i \(-0.869106\pi\)
0.804488 + 0.593968i \(0.202440\pi\)
\(68\) 7.67253 + 13.2892i 0.930430 + 1.61155i
\(69\) 2.02379 0.454769i 0.243636 0.0547478i
\(70\) −27.0066 −3.22790
\(71\) −5.72411 + 9.91445i −0.679327 + 1.17663i 0.295857 + 0.955232i \(0.404395\pi\)
−0.975184 + 0.221396i \(0.928939\pi\)
\(72\) 1.76571 21.6121i 0.208091 2.54701i
\(73\) −3.24565 + 5.62163i −0.379874 + 0.657962i −0.991044 0.133538i \(-0.957366\pi\)
0.611169 + 0.791500i \(0.290699\pi\)
\(74\) 11.5204 + 19.9539i 1.33921 + 2.31959i
\(75\) −3.85314 4.18078i −0.444923 0.482755i
\(76\) 10.9507 + 17.7084i 1.25613 + 2.03129i
\(77\) −0.557575 0.965747i −0.0635415 0.110057i
\(78\) −16.7437 18.1675i −1.89585 2.05706i
\(79\) −4.50635 7.80523i −0.507004 0.878157i −0.999967 0.00810670i \(-0.997420\pi\)
0.492963 0.870050i \(-0.335914\pi\)
\(80\) −13.3289 23.0862i −1.49021 2.58112i
\(81\) −8.88065 1.46085i −0.986739 0.162317i
\(82\) −10.9032 18.8849i −1.20406 2.08549i
\(83\) 1.71635 2.97281i 0.188394 0.326308i −0.756321 0.654201i \(-0.773005\pi\)
0.944715 + 0.327893i \(0.106339\pi\)
\(84\) −8.88638 + 28.4690i −0.969584 + 3.10622i
\(85\) 4.62276 8.00685i 0.501409 0.868465i
\(86\) −2.29233 + 3.97043i −0.247188 + 0.428142i
\(87\) 3.61757 + 3.92518i 0.387845 + 0.420824i
\(88\) 1.11800 1.93644i 0.119179 0.206425i
\(89\) −0.421650 0.730320i −0.0446948 0.0774137i 0.842813 0.538207i \(-0.180898\pi\)
−0.887507 + 0.460793i \(0.847565\pi\)
\(90\) −20.3148 + 9.61548i −2.14137 + 1.01356i
\(91\) 9.87632 + 17.1063i 1.03532 + 1.79323i
\(92\) −2.86017 4.95396i −0.298193 0.516486i
\(93\) −0.991895 + 3.17770i −0.102855 + 0.329512i
\(94\) −1.26828 2.19672i −0.130813 0.226574i
\(95\) 5.94107 11.0486i 0.609541 1.13357i
\(96\) −16.3189 + 3.66704i −1.66554 + 0.374266i
\(97\) 3.72160 + 6.44600i 0.377871 + 0.654493i 0.990752 0.135683i \(-0.0433228\pi\)
−0.612881 + 0.790175i \(0.709989\pi\)
\(98\) 7.80252 13.5144i 0.788174 1.36516i
\(99\) −0.763264 0.527932i −0.0767109 0.0530591i
\(100\) −7.83976 + 13.5789i −0.783976 + 1.35789i
\(101\) −14.1154 −1.40454 −0.702268 0.711913i \(-0.747829\pi\)
−0.702268 + 0.711913i \(0.747829\pi\)
\(102\) −9.81651 10.6512i −0.971979 1.05463i
\(103\) −4.23916 7.34244i −0.417697 0.723472i 0.578011 0.816029i \(-0.303829\pi\)
−0.995707 + 0.0925574i \(0.970496\pi\)
\(104\) −19.8032 + 34.3001i −1.94186 + 3.36340i
\(105\) 17.5318 3.93960i 1.71093 0.384466i
\(106\) 5.78683 10.0231i 0.562067 0.973528i
\(107\) −0.599900 −0.0579945 −0.0289972 0.999579i \(-0.509231\pi\)
−0.0289972 + 0.999579i \(0.509231\pi\)
\(108\) 3.45168 + 24.5788i 0.332138 + 2.36510i
\(109\) 8.41602 14.5770i 0.806109 1.39622i −0.109431 0.993994i \(-0.534903\pi\)
0.915540 0.402227i \(-0.131764\pi\)
\(110\) −2.31761 −0.220975
\(111\) −10.3894 11.2729i −0.986122 1.06997i
\(112\) 33.3904 3.15510
\(113\) 8.85127 + 15.3309i 0.832658 + 1.44221i 0.895923 + 0.444209i \(0.146515\pi\)
−0.0632653 + 0.997997i \(0.520151\pi\)
\(114\) −13.7502 14.0428i −1.28782 1.31522i
\(115\) −1.72328 + 2.98480i −0.160696 + 0.278334i
\(116\) 7.36046 12.7487i 0.683401 1.18369i
\(117\) 13.5197 + 9.35125i 1.24990 + 0.864524i
\(118\) −0.343245 0.594517i −0.0315982 0.0547298i
\(119\) 5.79029 + 10.0291i 0.530795 + 0.919363i
\(120\) 24.4177 + 26.4940i 2.22902 + 2.41856i
\(121\) 5.45215 + 9.44340i 0.495650 + 0.858491i
\(122\) 2.93131 + 5.07719i 0.265389 + 0.459667i
\(123\) 9.83288 + 10.6690i 0.886601 + 0.961990i
\(124\) 9.18038 0.824423
\(125\) −4.94269 −0.442087
\(126\) 2.29238 28.0585i 0.204222 2.49965i
\(127\) 7.69415 + 13.3267i 0.682745 + 1.18255i 0.974140 + 0.225946i \(0.0725473\pi\)
−0.291395 + 0.956603i \(0.594119\pi\)
\(128\) −1.04971 1.81815i −0.0927822 0.160703i
\(129\) 0.908918 2.91187i 0.0800258 0.256376i
\(130\) 41.0518 3.60048
\(131\) −5.52389 −0.482625 −0.241312 0.970447i \(-0.577578\pi\)
−0.241312 + 0.970447i \(0.577578\pi\)
\(132\) −0.762598 + 2.44311i −0.0663756 + 0.212645i
\(133\) 8.26423 + 13.3641i 0.716600 + 1.15882i
\(134\) −4.77929 −0.412868
\(135\) 11.7851 9.20550i 1.01430 0.792284i
\(136\) −11.6102 + 20.1094i −0.995566 + 1.72437i
\(137\) −10.9800 −0.938082 −0.469041 0.883176i \(-0.655400\pi\)
−0.469041 + 0.883176i \(0.655400\pi\)
\(138\) 3.65941 + 3.97057i 0.311509 + 0.337998i
\(139\) 1.97394 3.41896i 0.167427 0.289992i −0.770087 0.637938i \(-0.779787\pi\)
0.937515 + 0.347946i \(0.113121\pi\)
\(140\) −24.7772 42.9155i −2.09406 3.62702i
\(141\) 1.14377 + 1.24103i 0.0963230 + 0.104514i
\(142\) −29.8019 −2.50092
\(143\) 0.847551 + 1.46800i 0.0708757 + 0.122760i
\(144\) 25.1168 11.8884i 2.09307 0.990699i
\(145\) −8.86947 −0.736569
\(146\) −16.8981 −1.39850
\(147\) −3.09374 + 9.91130i −0.255167 + 0.817470i
\(148\) −21.1388 + 36.6134i −1.73760 + 3.00960i
\(149\) −8.91633 −0.730454 −0.365227 0.930918i \(-0.619009\pi\)
−0.365227 + 0.930918i \(0.619009\pi\)
\(150\) 4.41005 14.1283i 0.360079 1.15357i
\(151\) 2.49578 4.32281i 0.203103 0.351785i −0.746423 0.665471i \(-0.768231\pi\)
0.949527 + 0.313686i \(0.101564\pi\)
\(152\) −14.9212 + 27.7490i −1.21027 + 2.25074i
\(153\) 7.92632 + 5.48245i 0.640805 + 0.443230i
\(154\) 1.45147 2.51403i 0.116963 0.202586i
\(155\) −2.76563 4.79021i −0.222141 0.384759i
\(156\) 13.5079 43.2748i 1.08150 3.46476i
\(157\) −22.0011 −1.75588 −0.877938 0.478774i \(-0.841081\pi\)
−0.877938 + 0.478774i \(0.841081\pi\)
\(158\) 11.7309 20.3185i 0.933260 1.61645i
\(159\) −2.29450 + 7.35083i −0.181966 + 0.582959i
\(160\) 13.8957 24.0680i 1.09855 1.90274i
\(161\) −2.15851 3.73864i −0.170114 0.294646i
\(162\) −8.26562 21.9222i −0.649409 1.72237i
\(163\) 12.5065 0.979588 0.489794 0.871838i \(-0.337072\pi\)
0.489794 + 0.871838i \(0.337072\pi\)
\(164\) 20.0064 34.6520i 1.56223 2.70587i
\(165\) 1.50452 0.338083i 0.117127 0.0263197i
\(166\) 8.93598 0.693566
\(167\) 8.58230 14.8650i 0.664118 1.15029i −0.315405 0.948957i \(-0.602140\pi\)
0.979524 0.201330i \(-0.0645262\pi\)
\(168\) −44.0317 + 9.89442i −3.39712 + 0.763371i
\(169\) −8.51266 14.7444i −0.654820 1.13418i
\(170\) 24.0679 1.84592
\(171\) 10.9747 + 7.11030i 0.839255 + 0.543738i
\(172\) −8.41240 −0.641440
\(173\) 12.6990 + 21.9953i 0.965486 + 1.67227i 0.708302 + 0.705909i \(0.249461\pi\)
0.257184 + 0.966362i \(0.417205\pi\)
\(174\) −4.14043 + 13.2646i −0.313885 + 1.00558i
\(175\) −5.91649 + 10.2477i −0.447245 + 0.774651i
\(176\) 2.86545 0.215991
\(177\) 0.309549 + 0.335871i 0.0232672 + 0.0252456i
\(178\) 1.09764 1.90116i 0.0822713 0.142498i
\(179\) −5.19866 −0.388566 −0.194283 0.980945i \(-0.562238\pi\)
−0.194283 + 0.980945i \(0.562238\pi\)
\(180\) −33.9176 23.4600i −2.52807 1.74860i
\(181\) −10.5042 18.1938i −0.780773 1.35234i −0.931492 0.363762i \(-0.881492\pi\)
0.150719 0.988577i \(-0.451841\pi\)
\(182\) −25.7099 + 44.5309i −1.90575 + 3.30085i
\(183\) −2.64355 2.86834i −0.195417 0.212034i
\(184\) 4.32806 7.49641i 0.319068 0.552643i
\(185\) 25.4725 1.87278
\(186\) −8.45495 + 1.89992i −0.619947 + 0.139309i
\(187\) 0.496902 + 0.860659i 0.0363371 + 0.0629376i
\(188\) 2.32717 4.03077i 0.169726 0.293974i
\(189\) 2.60490 + 18.5491i 0.189479 + 1.34925i
\(190\) 32.6413 0.987141i 2.36805 0.0716147i
\(191\) 2.65435 4.59747i 0.192062 0.332662i −0.753871 0.657022i \(-0.771816\pi\)
0.945934 + 0.324361i \(0.105149\pi\)
\(192\) −7.76202 8.42204i −0.560176 0.607809i
\(193\) 18.1562 1.30691 0.653456 0.756965i \(-0.273318\pi\)
0.653456 + 0.756965i \(0.273318\pi\)
\(194\) −9.68804 + 16.7802i −0.695561 + 1.20475i
\(195\) −26.6495 + 5.98846i −1.90841 + 0.428842i
\(196\) 28.6338 2.04527
\(197\) 12.8977 0.918925 0.459462 0.888197i \(-0.348042\pi\)
0.459462 + 0.888197i \(0.348042\pi\)
\(198\) 0.196724 2.40788i 0.0139806 0.171120i
\(199\) −0.314216 0.544239i −0.0222742 0.0385801i 0.854673 0.519166i \(-0.173757\pi\)
−0.876948 + 0.480586i \(0.840424\pi\)
\(200\) −23.7265 −1.67772
\(201\) 3.10257 0.697182i 0.218838 0.0491754i
\(202\) −18.3726 31.8222i −1.29269 2.23900i
\(203\) 5.55477 9.62115i 0.389869 0.675273i
\(204\) 7.91941 25.3711i 0.554469 1.77634i
\(205\) −24.1080 −1.68378
\(206\) 11.0353 19.1138i 0.768868 1.33172i
\(207\) −2.95478 2.04375i −0.205371 0.142051i
\(208\) −50.7556 −3.51927
\(209\) 0.709207 + 1.14686i 0.0490569 + 0.0793300i
\(210\) 31.7009 + 34.3965i 2.18757 + 2.37358i
\(211\) −1.17210 −0.0806907 −0.0403453 0.999186i \(-0.512846\pi\)
−0.0403453 + 0.999186i \(0.512846\pi\)
\(212\) 21.2366 1.45853
\(213\) 19.3465 4.34737i 1.32560 0.297877i
\(214\) −0.780827 1.35243i −0.0533762 0.0924504i
\(215\) 2.53427 + 4.38949i 0.172836 + 0.299360i
\(216\) −29.5985 + 23.1199i −2.01393 + 1.57311i
\(217\) 6.92823 0.470319
\(218\) 43.8170 2.96766
\(219\) 10.9697 2.46502i 0.741264 0.166571i
\(220\) −2.12630 3.68285i −0.143355 0.248298i
\(221\) −8.80162 15.2449i −0.592061 1.02548i
\(222\) 11.8911 38.0950i 0.798075 2.55677i
\(223\) −13.7513 23.8180i −0.920858 1.59497i −0.798091 0.602538i \(-0.794156\pi\)
−0.122768 0.992435i \(-0.539177\pi\)
\(224\) 17.4052 + 30.1466i 1.16293 + 2.01426i
\(225\) −0.801887 + 9.81499i −0.0534591 + 0.654333i
\(226\) −23.0416 + 39.9092i −1.53270 + 2.65472i
\(227\) 9.96703 17.2634i 0.661535 1.14581i −0.318678 0.947863i \(-0.603239\pi\)
0.980212 0.197949i \(-0.0634280\pi\)
\(228\) 9.69985 34.7336i 0.642388 2.30029i
\(229\) 11.9152 + 20.6377i 0.787378 + 1.36378i 0.927568 + 0.373654i \(0.121895\pi\)
−0.140190 + 0.990125i \(0.544771\pi\)
\(230\) −8.97203 −0.591598
\(231\) −0.575516 + 1.84376i −0.0378662 + 0.121311i
\(232\) 22.2759 1.46249
\(233\) 2.65111 4.59185i 0.173680 0.300822i −0.766024 0.642812i \(-0.777768\pi\)
0.939704 + 0.341990i \(0.111101\pi\)
\(234\) −3.48457 + 42.6507i −0.227794 + 2.78817i
\(235\) −2.80427 −0.182931
\(236\) 0.629821 1.09088i 0.0409979 0.0710104i
\(237\) −4.65135 + 14.9014i −0.302138 + 0.967949i
\(238\) −15.0732 + 26.1076i −0.977052 + 1.69230i
\(239\) −2.48098 4.29718i −0.160481 0.277961i 0.774560 0.632500i \(-0.217971\pi\)
−0.935041 + 0.354539i \(0.884638\pi\)
\(240\) −13.7577 + 44.0752i −0.888058 + 2.84504i
\(241\) 10.1698 0.655095 0.327548 0.944835i \(-0.393778\pi\)
0.327548 + 0.944835i \(0.393778\pi\)
\(242\) −14.1930 + 24.5830i −0.912360 + 1.58025i
\(243\) 8.56370 + 13.0255i 0.549362 + 0.835585i
\(244\) −5.37868 + 9.31615i −0.344335 + 0.596405i
\(245\) −8.62604 14.9407i −0.551097 0.954529i
\(246\) −11.2541 + 36.0543i −0.717533 + 2.29874i
\(247\) −12.5622 20.3143i −0.799312 1.29257i
\(248\) 6.94595 + 12.0307i 0.441068 + 0.763953i
\(249\) −5.80095 + 1.30354i −0.367621 + 0.0826086i
\(250\) −6.43338 11.1429i −0.406883 0.704741i
\(251\) −8.77603 15.2005i −0.553938 0.959449i −0.997985 0.0634455i \(-0.979791\pi\)
0.444047 0.896003i \(-0.353542\pi\)
\(252\) 46.6901 22.0995i 2.94120 1.39214i
\(253\) −0.185235 0.320837i −0.0116457 0.0201709i
\(254\) −20.0293 + 34.6918i −1.25675 + 2.17676i
\(255\) −15.6241 + 3.51091i −0.978419 + 0.219862i
\(256\) 9.34521 16.1864i 0.584076 1.01165i
\(257\) −0.536459 + 0.929175i −0.0334634 + 0.0579603i −0.882272 0.470740i \(-0.843987\pi\)
0.848809 + 0.528700i \(0.177320\pi\)
\(258\) 7.74766 1.74099i 0.482348 0.108389i
\(259\) −15.9530 + 27.6313i −0.991268 + 1.71693i
\(260\) 37.6631 + 65.2344i 2.33576 + 4.04566i
\(261\) 0.752861 9.21493i 0.0466010 0.570390i
\(262\) −7.18988 12.4532i −0.444192 0.769363i
\(263\) −3.56131 6.16837i −0.219600 0.380358i 0.735086 0.677974i \(-0.237142\pi\)
−0.954686 + 0.297616i \(0.903809\pi\)
\(264\) −3.77864 + 0.849105i −0.232559 + 0.0522588i
\(265\) −6.39760 11.0810i −0.393001 0.680698i
\(266\) −19.3718 + 36.0258i −1.18776 + 2.20888i
\(267\) −0.435218 + 1.39429i −0.0266349 + 0.0853293i
\(268\) −4.38477 7.59465i −0.267842 0.463917i
\(269\) −13.2330 + 22.9202i −0.806831 + 1.39747i 0.108217 + 0.994127i \(0.465486\pi\)
−0.915048 + 0.403345i \(0.867848\pi\)
\(270\) 36.0926 + 14.5868i 2.19652 + 0.887723i
\(271\) −7.56739 + 13.1071i −0.459686 + 0.796200i −0.998944 0.0459408i \(-0.985371\pi\)
0.539258 + 0.842141i \(0.318705\pi\)
\(272\) −29.7570 −1.80428
\(273\) 10.1941 32.6585i 0.616976 1.97658i
\(274\) −14.2915 24.7536i −0.863380 1.49542i
\(275\) −0.507733 + 0.879419i −0.0306174 + 0.0530309i
\(276\) −2.95220 + 9.45787i −0.177702 + 0.569297i
\(277\) −3.99640 + 6.92197i −0.240120 + 0.415901i −0.960748 0.277421i \(-0.910520\pi\)
0.720628 + 0.693322i \(0.243854\pi\)
\(278\) 10.2771 0.616378
\(279\) 5.21153 2.46674i 0.312006 0.147680i
\(280\) 37.4933 64.9404i 2.24066 3.88093i
\(281\) 8.00532 0.477557 0.238779 0.971074i \(-0.423253\pi\)
0.238779 + 0.971074i \(0.423253\pi\)
\(282\) −1.30909 + 4.19388i −0.0779549 + 0.249742i
\(283\) 7.75629 0.461063 0.230532 0.973065i \(-0.425953\pi\)
0.230532 + 0.973065i \(0.425953\pi\)
\(284\) −27.3418 47.3574i −1.62244 2.81015i
\(285\) −21.0457 + 5.40238i −1.24664 + 0.320010i
\(286\) −2.20634 + 3.82149i −0.130463 + 0.225969i
\(287\) 15.0984 26.1511i 0.891228 1.54365i
\(288\) 23.8259 + 16.4798i 1.40396 + 0.971083i
\(289\) 3.33979 + 5.78468i 0.196458 + 0.340275i
\(290\) −11.5445 19.9956i −0.677914 1.17418i
\(291\) 3.84135 12.3064i 0.225184 0.721415i
\(292\) −15.5032 26.8523i −0.907255 1.57141i
\(293\) 5.04107 + 8.73138i 0.294502 + 0.510093i 0.974869 0.222779i \(-0.0715128\pi\)
−0.680367 + 0.732872i \(0.738179\pi\)
\(294\) −26.3711 + 5.92590i −1.53800 + 0.345605i
\(295\) −0.758945 −0.0441875
\(296\) −63.9750 −3.71847
\(297\) 0.223544 + 1.59182i 0.0129713 + 0.0923665i
\(298\) −11.6055 20.1012i −0.672286 1.16443i
\(299\) 3.28107 + 5.68299i 0.189749 + 0.328656i
\(300\) 26.4970 5.95417i 1.52980 0.343764i
\(301\) −6.34866 −0.365930
\(302\) 12.9940 0.747719
\(303\) 16.5690 + 17.9779i 0.951863 + 1.03280i
\(304\) −40.3570 + 1.22048i −2.31463 + 0.0699994i
\(305\) 6.48140 0.371124
\(306\) −2.04294 + 25.0053i −0.116787 + 1.42946i
\(307\) −8.96975 + 15.5361i −0.511931 + 0.886690i 0.487974 + 0.872858i \(0.337736\pi\)
−0.999904 + 0.0138317i \(0.995597\pi\)
\(308\) 5.32663 0.303513
\(309\) −4.37556 + 14.0178i −0.248917 + 0.797447i
\(310\) 7.19946 12.4698i 0.408902 0.708239i
\(311\) 16.7342 + 28.9845i 0.948911 + 1.64356i 0.747725 + 0.664008i \(0.231146\pi\)
0.201186 + 0.979553i \(0.435521\pi\)
\(312\) 66.9311 15.0402i 3.78923 0.851483i
\(313\) 2.29237 0.129573 0.0647863 0.997899i \(-0.479363\pi\)
0.0647863 + 0.997899i \(0.479363\pi\)
\(314\) −28.6365 49.5999i −1.61605 2.79908i
\(315\) −25.5968 17.7047i −1.44222 0.997549i
\(316\) 43.0501 2.42176
\(317\) −17.9223 −1.00662 −0.503309 0.864107i \(-0.667884\pi\)
−0.503309 + 0.864107i \(0.667884\pi\)
\(318\) −19.5584 + 4.39501i −1.09678 + 0.246460i
\(319\) 0.476691 0.825653i 0.0266896 0.0462277i
\(320\) 19.0307 1.06385
\(321\) 0.704175 + 0.764053i 0.0393032 + 0.0426453i
\(322\) 5.61901 9.73241i 0.313135 0.542366i
\(323\) −7.36496 11.9099i −0.409797 0.662684i
\(324\) 27.2527 33.2473i 1.51404 1.84707i
\(325\) 8.99346 15.5771i 0.498868 0.864064i
\(326\) 16.2785 + 28.1951i 0.901580 + 1.56158i
\(327\) −28.4446 + 6.39184i −1.57299 + 0.353469i
\(328\) 60.5479 3.34320
\(329\) 1.75626 3.04193i 0.0968258 0.167707i
\(330\) 2.72046 + 2.95179i 0.149756 + 0.162490i
\(331\) −8.00137 + 13.8588i −0.439795 + 0.761747i −0.997673 0.0681756i \(-0.978282\pi\)
0.557878 + 0.829923i \(0.311616\pi\)
\(332\) 8.19833 + 14.1999i 0.449942 + 0.779322i
\(333\) −2.16217 + 26.4647i −0.118486 + 1.45026i
\(334\) 44.6827 2.44493
\(335\) −2.64186 + 4.57584i −0.144340 + 0.250005i
\(336\) −39.1944 42.5271i −2.13823 2.32005i
\(337\) −3.13968 −0.171029 −0.0855147 0.996337i \(-0.527253\pi\)
−0.0855147 + 0.996337i \(0.527253\pi\)
\(338\) 22.1601 38.3824i 1.20535 2.08773i
\(339\) 9.13608 29.2690i 0.496204 1.58967i
\(340\) 22.0811 + 38.2456i 1.19752 + 2.07416i
\(341\) 0.594556 0.0321970
\(342\) −1.74508 + 33.9964i −0.0943630 + 1.83831i
\(343\) −3.62433 −0.195695
\(344\) −6.36489 11.0243i −0.343172 0.594391i
\(345\) 5.82436 1.30880i 0.313573 0.0704635i
\(346\) −33.0579 + 57.2580i −1.77720 + 3.07821i
\(347\) 0.745533 0.0400223 0.0200112 0.999800i \(-0.493630\pi\)
0.0200112 + 0.999800i \(0.493630\pi\)
\(348\) −24.8770 + 5.59015i −1.33355 + 0.299664i
\(349\) 6.33873 10.9790i 0.339304 0.587692i −0.644998 0.764185i \(-0.723142\pi\)
0.984302 + 0.176492i \(0.0564750\pi\)
\(350\) −30.8035 −1.64652
\(351\) −3.95963 28.1958i −0.211349 1.50498i
\(352\) 1.49365 + 2.58708i 0.0796118 + 0.137892i
\(353\) 2.01196 3.48481i 0.107086 0.185478i −0.807503 0.589864i \(-0.799181\pi\)
0.914588 + 0.404386i \(0.132515\pi\)
\(354\) −0.354289 + 1.13503i −0.0188303 + 0.0603259i
\(355\) −16.4737 + 28.5332i −0.874332 + 1.51439i
\(356\) 4.02811 0.213490
\(357\) 5.97660 19.1470i 0.316315 1.01337i
\(358\) −6.76656 11.7200i −0.357624 0.619422i
\(359\) −8.18826 + 14.1825i −0.432160 + 0.748523i −0.997059 0.0766373i \(-0.975582\pi\)
0.564899 + 0.825160i \(0.308915\pi\)
\(360\) 5.08163 62.1984i 0.267825 3.27815i
\(361\) −10.4770 15.8503i −0.551419 0.834228i
\(362\) 27.3445 47.3621i 1.43720 2.48930i
\(363\) 5.62759 18.0289i 0.295372 0.946272i
\(364\) −94.3506 −4.94531
\(365\) −9.34080 + 16.1787i −0.488920 + 0.846834i
\(366\) 3.02564 9.69313i 0.158153 0.506668i
\(367\) 36.2781 1.89370 0.946850 0.321676i \(-0.104246\pi\)
0.946850 + 0.321676i \(0.104246\pi\)
\(368\) 11.0928 0.578254
\(369\) 2.04634 25.0470i 0.106528 1.30389i
\(370\) 33.1550 + 57.4261i 1.72364 + 2.98544i
\(371\) 16.0268 0.832068
\(372\) −10.7761 11.6924i −0.558716 0.606225i
\(373\) 3.77509 + 6.53865i 0.195467 + 0.338558i 0.947053 0.321076i \(-0.104044\pi\)
−0.751587 + 0.659634i \(0.770711\pi\)
\(374\) −1.29353 + 2.24046i −0.0668869 + 0.115851i
\(375\) 5.80183 + 6.29517i 0.299605 + 0.325081i
\(376\) 7.04301 0.363215
\(377\) −8.44363 + 14.6248i −0.434869 + 0.753215i
\(378\) −38.4271 + 30.0160i −1.97647 + 1.54386i
\(379\) −33.9906 −1.74598 −0.872990 0.487738i \(-0.837822\pi\)
−0.872990 + 0.487738i \(0.837822\pi\)
\(380\) 31.5154 + 50.9637i 1.61671 + 2.61438i
\(381\) 7.94172 25.4426i 0.406867 1.30347i
\(382\) 13.8196 0.707071
\(383\) −7.83422 −0.400310 −0.200155 0.979764i \(-0.564145\pi\)
−0.200155 + 0.979764i \(0.564145\pi\)
\(384\) −1.08349 + 3.47113i −0.0552915 + 0.177136i
\(385\) −1.60467 2.77937i −0.0817815 0.141650i
\(386\) 23.6320 + 40.9319i 1.20284 + 2.08338i
\(387\) −4.77557 + 2.26039i −0.242756 + 0.114902i
\(388\) −35.5533 −1.80494
\(389\) −21.6542 −1.09791 −0.548956 0.835851i \(-0.684975\pi\)
−0.548956 + 0.835851i \(0.684975\pi\)
\(390\) −48.1875 52.2850i −2.44007 2.64755i
\(391\) 1.92363 + 3.33182i 0.0972821 + 0.168497i
\(392\) 21.6645 + 37.5241i 1.09422 + 1.89525i
\(393\) 6.48406 + 7.03542i 0.327078 + 0.354890i
\(394\) 16.7876 + 29.0770i 0.845748 + 1.46488i
\(395\) −12.9690 22.4630i −0.652543 1.13024i
\(396\) 4.00678 1.89650i 0.201348 0.0953029i
\(397\) 8.01141 13.8762i 0.402081 0.696425i −0.591896 0.806015i \(-0.701620\pi\)
0.993977 + 0.109589i \(0.0349536\pi\)
\(398\) 0.817966 1.41676i 0.0410009 0.0710157i
\(399\) 7.32026 26.2127i 0.366471 1.31228i
\(400\) −15.2028 26.3320i −0.760140 1.31660i
\(401\) −26.4901 −1.32285 −0.661427 0.750010i \(-0.730049\pi\)
−0.661427 + 0.750010i \(0.730049\pi\)
\(402\) 5.61003 + 6.08707i 0.279803 + 0.303595i
\(403\) −10.5314 −0.524605
\(404\) 33.7119 58.3907i 1.67723 2.90505i
\(405\) −25.5580 4.20425i −1.26999 0.208911i
\(406\) 28.9203 1.43529
\(407\) −1.36903 + 2.37122i −0.0678601 + 0.117537i
\(408\) 39.2404 8.81776i 1.94269 0.436544i
\(409\) 3.08742 5.34757i 0.152663 0.264420i −0.779543 0.626349i \(-0.784548\pi\)
0.932206 + 0.361929i \(0.117882\pi\)
\(410\) −31.3789 54.3498i −1.54969 2.68414i
\(411\) 12.8885 + 13.9845i 0.635744 + 0.689802i
\(412\) 40.4976 1.99517
\(413\) 0.475312 0.823265i 0.0233886 0.0405102i
\(414\) 0.761567 9.32148i 0.0374290 0.458126i
\(415\) 4.93956 8.55557i 0.242473 0.419976i
\(416\) −26.4570 45.8249i −1.29716 2.24675i
\(417\) −6.67155 + 1.49917i −0.326707 + 0.0734149i
\(418\) −1.66242 + 3.09161i −0.0813115 + 0.151215i
\(419\) 5.88999 + 10.2018i 0.287745 + 0.498389i 0.973271 0.229659i \(-0.0737612\pi\)
−0.685526 + 0.728048i \(0.740428\pi\)
\(420\) −25.5745 + 81.9322i −1.24791 + 3.99788i
\(421\) 5.84673 + 10.1268i 0.284952 + 0.493552i 0.972598 0.232495i \(-0.0746890\pi\)
−0.687645 + 0.726047i \(0.741356\pi\)
\(422\) −1.52560 2.64242i −0.0742651 0.128631i
\(423\) 0.238033 2.91350i 0.0115736 0.141659i
\(424\) 16.0678 + 27.8302i 0.780319 + 1.35155i
\(425\) 5.27269 9.13256i 0.255763 0.442994i
\(426\) 34.9821 + 37.9567i 1.69489 + 1.83901i
\(427\) −4.05917 + 7.03069i −0.196437 + 0.340239i
\(428\) 1.43274 2.48158i 0.0692542 0.119952i
\(429\) 0.874822 2.80264i 0.0422368 0.135313i
\(430\) −6.59719 + 11.4267i −0.318145 + 0.551043i
\(431\) 5.30901 + 9.19547i 0.255726 + 0.442930i 0.965092 0.261910i \(-0.0843522\pi\)
−0.709367 + 0.704840i \(0.751019\pi\)
\(432\) −44.6241 18.0348i −2.14698 0.867699i
\(433\) −4.25193 7.36456i −0.204335 0.353918i 0.745586 0.666410i \(-0.232170\pi\)
−0.949921 + 0.312492i \(0.898836\pi\)
\(434\) 9.01776 + 15.6192i 0.432866 + 0.749746i
\(435\) 10.4112 + 11.2965i 0.499178 + 0.541624i
\(436\) 40.2000 + 69.6285i 1.92523 + 3.33460i
\(437\) 2.74551 + 4.43978i 0.131336 + 0.212383i
\(438\) 19.8353 + 21.5220i 0.947769 + 1.02836i
\(439\) 3.04411 + 5.27255i 0.145287 + 0.251645i 0.929480 0.368872i \(-0.120256\pi\)
−0.784193 + 0.620517i \(0.786923\pi\)
\(440\) 3.21755 5.57295i 0.153390 0.265680i
\(441\) 16.2549 7.69381i 0.774041 0.366372i
\(442\) 22.9123 39.6853i 1.08983 1.88764i
\(443\) 27.4847 1.30584 0.652918 0.757429i \(-0.273545\pi\)
0.652918 + 0.757429i \(0.273545\pi\)
\(444\) 71.4452 16.0546i 3.39064 0.761916i
\(445\) −1.21349 2.10182i −0.0575248 0.0996358i
\(446\) 35.7974 62.0029i 1.69506 2.93592i
\(447\) 10.4662 + 11.3561i 0.495033 + 0.537127i
\(448\) −11.9186 + 20.6436i −0.563099 + 0.975317i
\(449\) −31.5486 −1.48887 −0.744434 0.667696i \(-0.767281\pi\)
−0.744434 + 0.667696i \(0.767281\pi\)
\(450\) −23.1709 + 10.9674i −1.09229 + 0.517006i
\(451\) 1.29569 2.24420i 0.0610116 0.105675i
\(452\) −84.5581 −3.97728
\(453\) −8.43527 + 1.89550i −0.396324 + 0.0890585i
\(454\) 51.8922 2.43542
\(455\) 28.4235 + 49.2309i 1.33251 + 2.30798i
\(456\) 52.8568 13.5682i 2.47525 0.635391i
\(457\) 13.5511 23.4711i 0.633892 1.09793i −0.352857 0.935677i \(-0.614790\pi\)
0.986749 0.162256i \(-0.0518770\pi\)
\(458\) −31.0175 + 53.7239i −1.44935 + 2.51035i
\(459\) −2.32145 16.5307i −0.108356 0.771585i
\(460\) −8.23141 14.2572i −0.383791 0.664746i
\(461\) −4.01667 6.95707i −0.187075 0.324023i 0.757199 0.653184i \(-0.226567\pi\)
−0.944274 + 0.329161i \(0.893234\pi\)
\(462\) −4.90572 + 1.10237i −0.228235 + 0.0512870i
\(463\) 2.29700 + 3.97853i 0.106751 + 0.184898i 0.914452 0.404694i \(-0.132622\pi\)
−0.807701 + 0.589592i \(0.799289\pi\)
\(464\) 14.2733 + 24.7222i 0.662623 + 1.14770i
\(465\) −2.85462 + 9.14524i −0.132380 + 0.424101i
\(466\) 13.8027 0.639397
\(467\) 21.1853 0.980340 0.490170 0.871627i \(-0.336935\pi\)
0.490170 + 0.871627i \(0.336935\pi\)
\(468\) −70.9721 + 33.5928i −3.28069 + 1.55283i
\(469\) −3.30909 5.73151i −0.152800 0.264657i
\(470\) −3.65003 6.32204i −0.168363 0.291614i
\(471\) 25.8253 + 28.0213i 1.18997 + 1.29115i
\(472\) 1.90611 0.0877359
\(473\) −0.544819 −0.0250508
\(474\) −39.6483 + 8.90943i −1.82111 + 0.409224i
\(475\) 6.77634 12.6020i 0.310920 0.578220i
\(476\) −55.3158 −2.53540
\(477\) 12.0556 5.70620i 0.551988 0.261269i
\(478\) 6.45845 11.1864i 0.295403 0.511653i
\(479\) 11.2684 0.514865 0.257433 0.966296i \(-0.417123\pi\)
0.257433 + 0.966296i \(0.417123\pi\)
\(480\) −46.9648 + 10.5535i −2.14364 + 0.481701i
\(481\) 24.2496 42.0015i 1.10568 1.91510i
\(482\) 13.2370 + 22.9271i 0.602928 + 1.04430i
\(483\) −2.22796 + 7.13765i −0.101376 + 0.324774i
\(484\) −52.0856 −2.36753
\(485\) 10.7106 + 18.5512i 0.486342 + 0.842368i
\(486\) −18.2185 + 36.2602i −0.826410 + 1.64479i
\(487\) 2.25968 0.102396 0.0511979 0.998689i \(-0.483696\pi\)
0.0511979 + 0.998689i \(0.483696\pi\)
\(488\) −16.2782 −0.736880
\(489\) −14.6804 15.9287i −0.663872 0.720323i
\(490\) 22.4552 38.8936i 1.01442 1.75703i
\(491\) 8.85371 0.399562 0.199781 0.979841i \(-0.435977\pi\)
0.199781 + 0.979841i \(0.435977\pi\)
\(492\) −67.6179 + 15.1945i −3.04845 + 0.685022i
\(493\) −4.95033 + 8.57422i −0.222952 + 0.386164i
\(494\) 29.4464 54.7616i 1.32486 2.46384i
\(495\) −2.19663 1.51936i −0.0987312 0.0682901i
\(496\) −8.90126 + 15.4174i −0.399678 + 0.692263i
\(497\) −20.6343 35.7396i −0.925573 1.60314i
\(498\) −10.4892 11.3812i −0.470034 0.510002i
\(499\) 13.5401 0.606138 0.303069 0.952969i \(-0.401989\pi\)
0.303069 + 0.952969i \(0.401989\pi\)
\(500\) 11.8046 20.4462i 0.527919 0.914383i
\(501\) −29.0066 + 6.51812i −1.29592 + 0.291208i
\(502\) 22.8457 39.5699i 1.01965 1.76609i
\(503\) 20.4206 + 35.3696i 0.910511 + 1.57705i 0.813344 + 0.581783i \(0.197645\pi\)
0.0971667 + 0.995268i \(0.469022\pi\)
\(504\) 64.2872 + 44.4660i 2.86358 + 1.98067i
\(505\) −40.6234 −1.80772
\(506\) 0.482203 0.835201i 0.0214366 0.0371292i
\(507\) −8.78657 + 28.1493i −0.390225 + 1.25015i
\(508\) −73.5038 −3.26120
\(509\) −16.5636 + 28.6891i −0.734171 + 1.27162i 0.220916 + 0.975293i \(0.429095\pi\)
−0.955086 + 0.296328i \(0.904238\pi\)
\(510\) −28.2514 30.6536i −1.25099 1.35737i
\(511\) −11.6999 20.2648i −0.517574 0.896464i
\(512\) 44.4559 1.96469
\(513\) −3.82639 22.3239i −0.168939 0.985626i
\(514\) −2.79301 −0.123195
\(515\) −12.2001 21.1311i −0.537599 0.931148i
\(516\) 9.87466 + 10.7143i 0.434708 + 0.471672i
\(517\) 0.150716 0.261048i 0.00662848 0.0114809i
\(518\) −83.0572 −3.64932
\(519\) 13.1076 41.9924i 0.575360 1.84326i
\(520\) −56.9924 + 98.7137i −2.49928 + 4.32888i
\(521\) 14.1200 0.618610 0.309305 0.950963i \(-0.399904\pi\)
0.309305 + 0.950963i \(0.399904\pi\)
\(522\) 21.7543 10.2968i 0.952161 0.450680i
\(523\) 1.12361 + 1.94614i 0.0491319 + 0.0850989i 0.889545 0.456847i \(-0.151021\pi\)
−0.840414 + 0.541946i \(0.817688\pi\)
\(524\) 13.1927 22.8505i 0.576327 0.998228i
\(525\) 19.9967 4.49348i 0.872727 0.196112i
\(526\) 9.27078 16.0575i 0.404225 0.700138i
\(527\) −6.17433 −0.268958
\(528\) −3.36352 3.64953i −0.146378 0.158825i
\(529\) 10.7829 + 18.6765i 0.468822 + 0.812024i
\(530\) 16.6542 28.8459i 0.723411 1.25299i
\(531\) 0.0644210 0.788505i 0.00279563 0.0342182i
\(532\) −75.0203 + 2.26877i −3.25254 + 0.0983638i
\(533\) −22.9505 + 39.7515i −0.994097 + 1.72183i
\(534\) −3.70981 + 0.833638i −0.160539 + 0.0360750i
\(535\) −1.72648 −0.0746422
\(536\) 6.63511 11.4923i 0.286593 0.496394i
\(537\) 6.10230 + 6.62119i 0.263334 + 0.285726i
\(538\) −68.8961 −2.97032
\(539\) 1.85443 0.0798760
\(540\) 9.93373 + 70.7364i 0.427480 + 3.04401i
\(541\) 3.49462 + 6.05285i 0.150245 + 0.260232i 0.931318 0.364208i \(-0.118660\pi\)
−0.781072 + 0.624441i \(0.785327\pi\)
\(542\) −39.3987 −1.69232
\(543\) −10.8422 + 34.7349i −0.465284 + 1.49062i
\(544\) −15.5112 26.8662i −0.665038 1.15188i
\(545\) 24.2208 41.9517i 1.03751 1.79701i
\(546\) 86.8950 19.5263i 3.71876 0.835649i
\(547\) 1.00284 0.0428785 0.0214393 0.999770i \(-0.493175\pi\)
0.0214393 + 0.999770i \(0.493175\pi\)
\(548\) 26.2235 45.4204i 1.12021 1.94026i
\(549\) −0.550156 + 6.73384i −0.0234801 + 0.287393i
\(550\) −2.64345 −0.112717
\(551\) −6.36205 + 11.8316i −0.271033 + 0.504041i
\(552\) −14.6280 + 3.28709i −0.622611 + 0.139908i
\(553\) 32.4890 1.38157
\(554\) −20.8068 −0.883996
\(555\) −29.9002 32.4427i −1.26919 1.37712i
\(556\) 9.42872 + 16.3310i 0.399867 + 0.692590i
\(557\) 15.7144 + 27.2181i 0.665839 + 1.15327i 0.979057 + 0.203585i \(0.0652594\pi\)
−0.313219 + 0.949681i \(0.601407\pi\)
\(558\) 12.3444 + 8.53834i 0.522580 + 0.361457i
\(559\) 9.65038 0.408168
\(560\) 96.0957 4.06078
\(561\) 0.512891 1.64313i 0.0216543 0.0693731i
\(562\) 10.4197 + 18.0474i 0.439528 + 0.761285i
\(563\) −14.0259 24.2936i −0.591121 1.02385i −0.994082 0.108635i \(-0.965352\pi\)
0.402961 0.915217i \(-0.367981\pi\)
\(564\) −7.86540 + 1.76745i −0.331193 + 0.0744229i
\(565\) 25.4735 + 44.1214i 1.07168 + 1.85620i
\(566\) 10.0956 + 17.4860i 0.424348 + 0.734992i
\(567\) 20.5670 25.0910i 0.863735 1.05372i
\(568\) 41.3741 71.6620i 1.73602 3.00687i
\(569\) −7.06693 + 12.2403i −0.296261 + 0.513140i −0.975278 0.220984i \(-0.929073\pi\)
0.679016 + 0.734123i \(0.262407\pi\)
\(570\) −39.5723 40.4143i −1.65750 1.69277i
\(571\) 11.9778 + 20.7462i 0.501255 + 0.868199i 0.999999 + 0.00144996i \(0.000461536\pi\)
−0.498744 + 0.866749i \(0.666205\pi\)
\(572\) −8.09683 −0.338546
\(573\) −8.97124 + 2.01594i −0.374779 + 0.0842171i
\(574\) 78.6079 3.28103
\(575\) −1.96556 + 3.40444i −0.0819694 + 0.141975i
\(576\) −1.61537 + 19.7720i −0.0673072 + 0.823831i
\(577\) −12.4400 −0.517885 −0.258943 0.965893i \(-0.583374\pi\)
−0.258943 + 0.965893i \(0.583374\pi\)
\(578\) −8.69410 + 15.0586i −0.361627 + 0.626356i
\(579\) −21.3121 23.1244i −0.885702 0.961015i
\(580\) 21.1830 36.6900i 0.879576 1.52347i
\(581\) 6.18710 + 10.7164i 0.256684 + 0.444590i
\(582\) 32.7438 7.35792i 1.35728 0.304996i
\(583\) 1.37536 0.0569616
\(584\) 23.4597 40.6334i 0.970768 1.68142i
\(585\) 38.9089 + 26.9124i 1.60869 + 1.11269i
\(586\) −13.1229 + 22.7295i −0.542100 + 0.938945i
\(587\) −1.26765 2.19563i −0.0523213 0.0906232i 0.838679 0.544627i \(-0.183329\pi\)
−0.891000 + 0.454004i \(0.849995\pi\)
\(588\) −33.6109 36.4689i −1.38609 1.50395i
\(589\) −8.37374 + 0.253240i −0.345034 + 0.0104346i
\(590\) −0.987839 1.71099i −0.0406687 0.0704403i
\(591\) −15.1396 16.4270i −0.622761 0.675716i
\(592\) −40.9921 71.0004i −1.68477 2.91810i
\(593\) 8.10596 + 14.0399i 0.332872 + 0.576551i 0.983074 0.183211i \(-0.0586490\pi\)
−0.650202 + 0.759762i \(0.725316\pi\)
\(594\) −3.29767 + 2.57586i −0.135305 + 0.105689i
\(595\) 16.6641 + 28.8631i 0.683162 + 1.18327i
\(596\) 21.2949 36.8838i 0.872273 1.51082i
\(597\) −0.324327 + 1.03904i −0.0132738 + 0.0425249i
\(598\) −8.54127 + 14.7939i −0.349278 + 0.604968i
\(599\) 16.9145 29.2967i 0.691106 1.19703i −0.280370 0.959892i \(-0.590457\pi\)
0.971476 0.237138i \(-0.0762095\pi\)
\(600\) 27.8507 + 30.2189i 1.13700 + 1.23368i
\(601\) 9.66875 16.7468i 0.394396 0.683115i −0.598627 0.801028i \(-0.704287\pi\)
0.993024 + 0.117913i \(0.0376203\pi\)
\(602\) −8.26338 14.3126i −0.336790 0.583338i
\(603\) −4.52981 3.13317i −0.184468 0.127592i
\(604\) 11.9213 + 20.6484i 0.485073 + 0.840170i
\(605\) 15.6910 + 27.1776i 0.637929 + 1.10493i
\(606\) −18.9637 + 60.7535i −0.770349 + 2.46794i
\(607\) −9.59121 16.6125i −0.389295 0.674279i 0.603060 0.797696i \(-0.293948\pi\)
−0.992355 + 0.123417i \(0.960615\pi\)
\(608\) −22.1385 35.8002i −0.897834 1.45189i
\(609\) −18.7741 + 4.21876i −0.760767 + 0.170953i
\(610\) 8.43616 + 14.6119i 0.341570 + 0.591617i
\(611\) −2.66963 + 4.62394i −0.108002 + 0.187065i
\(612\) −41.6095 + 19.6948i −1.68196 + 0.796114i
\(613\) −8.80133 + 15.2444i −0.355483 + 0.615714i −0.987200 0.159485i \(-0.949017\pi\)
0.631718 + 0.775198i \(0.282350\pi\)
\(614\) −46.7000 −1.88466
\(615\) 28.2985 + 30.7048i 1.14110 + 1.23814i
\(616\) 4.03017 + 6.98046i 0.162380 + 0.281251i
\(617\) −2.19182 + 3.79634i −0.0882393 + 0.152835i −0.906767 0.421632i \(-0.861457\pi\)
0.818528 + 0.574467i \(0.194791\pi\)
\(618\) −37.2975 + 8.38117i −1.50032 + 0.337140i
\(619\) −14.9546 + 25.9021i −0.601077 + 1.04110i 0.391582 + 0.920143i \(0.371928\pi\)
−0.992658 + 0.120952i \(0.961405\pi\)
\(620\) 26.4206 1.06108
\(621\) 0.865392 + 6.16231i 0.0347270 + 0.247285i
\(622\) −43.5624 + 75.4523i −1.74669 + 3.02536i
\(623\) 3.03993 0.121792
\(624\) 59.5780 + 64.6441i 2.38503 + 2.58783i
\(625\) −30.6376 −1.22550
\(626\) 2.98374 + 5.16800i 0.119254 + 0.206555i
\(627\) 0.628199 2.24948i 0.0250878 0.0898356i
\(628\) 52.5452 91.0110i 2.09678 3.63173i
\(629\) 14.2170 24.6246i 0.566870 0.981848i
\(630\) 6.59735 80.7507i 0.262845 3.21719i
\(631\) 5.66656 + 9.81477i 0.225582 + 0.390720i 0.956494 0.291752i \(-0.0942382\pi\)
−0.730912 + 0.682472i \(0.760905\pi\)
\(632\) 32.5721 + 56.4165i 1.29565 + 2.24413i
\(633\) 1.37584 + 1.49283i 0.0546846 + 0.0593345i
\(634\) −23.3276 40.4046i −0.926457 1.60467i
\(635\) 22.1433 + 38.3534i 0.878731 + 1.52201i
\(636\) −24.9279 27.0476i −0.988457 1.07251i
\(637\) −32.8475 −1.30147
\(638\) 2.48184 0.0982569
\(639\) −28.2462 19.5373i −1.11740 0.772882i
\(640\) −3.02101 5.23254i −0.119416 0.206834i
\(641\) −9.92813 17.1960i −0.392137 0.679202i 0.600594 0.799554i \(-0.294931\pi\)
−0.992731 + 0.120352i \(0.961598\pi\)
\(642\) −0.805952 + 2.58200i −0.0318084 + 0.101903i
\(643\) 40.4128 1.59372 0.796862 0.604161i \(-0.206492\pi\)
0.796862 + 0.604161i \(0.206492\pi\)
\(644\) 20.6207 0.812569
\(645\) 2.61582 8.38021i 0.102998 0.329970i
\(646\) 17.2638 32.1056i 0.679236 1.26318i
\(647\) −13.2176 −0.519638 −0.259819 0.965657i \(-0.583663\pi\)
−0.259819 + 0.965657i \(0.583663\pi\)
\(648\) 64.1897 + 10.5591i 2.52161 + 0.414801i
\(649\) 0.0407896 0.0706497i 0.00160113 0.00277324i
\(650\) 46.8234 1.83657
\(651\) −8.13251 8.82403i −0.318738 0.345841i
\(652\) −29.8694 + 51.7353i −1.16978 + 2.02611i
\(653\) −9.79414 16.9639i −0.383274 0.663850i 0.608254 0.793742i \(-0.291870\pi\)
−0.991528 + 0.129892i \(0.958537\pi\)
\(654\) −51.4334 55.8069i −2.01120 2.18222i
\(655\) −15.8975 −0.621165
\(656\) 38.7962 + 67.1970i 1.51474 + 2.62360i
\(657\) −16.0160 11.0779i −0.624844 0.432190i
\(658\) 9.14377 0.356461
\(659\) 41.8639 1.63079 0.815393 0.578908i \(-0.196521\pi\)
0.815393 + 0.578908i \(0.196521\pi\)
\(660\) −2.19471 + 7.03113i −0.0854291 + 0.273686i
\(661\) 1.94539 3.36951i 0.0756667 0.131059i −0.825709 0.564096i \(-0.809225\pi\)
0.901376 + 0.433037i \(0.142558\pi\)
\(662\) −41.6582 −1.61909
\(663\) −9.08483 + 29.1048i −0.352826 + 1.13034i
\(664\) −12.4058 + 21.4876i −0.481440 + 0.833879i
\(665\) 23.7840 + 38.4612i 0.922304 + 1.49146i
\(666\) −62.4770 + 29.5719i −2.42094 + 1.14589i
\(667\) 1.84539 3.19631i 0.0714537 0.123761i
\(668\) 40.9943 + 71.0042i 1.58612 + 2.74723i
\(669\) −14.1938 + 45.4723i −0.548765 + 1.75806i
\(670\) −13.7545 −0.531384
\(671\) −0.348344 + 0.603349i −0.0134477 + 0.0232920i
\(672\) 17.9652 57.5545i 0.693023 2.22021i
\(673\) 20.5464 35.5874i 0.792006 1.37180i −0.132716 0.991154i \(-0.542370\pi\)
0.924723 0.380641i \(-0.124297\pi\)
\(674\) −4.08660 7.07819i −0.157410 0.272642i
\(675\) 13.4420 10.4997i 0.517382 0.404135i
\(676\) 81.3233 3.12782
\(677\) 6.11341 10.5887i 0.234958 0.406958i −0.724303 0.689482i \(-0.757838\pi\)
0.959260 + 0.282524i \(0.0911716\pi\)
\(678\) 77.8763 17.4997i 2.99082 0.672072i
\(679\) −26.8313 −1.02969
\(680\) −33.4135 + 57.8739i −1.28135 + 2.21936i
\(681\) −33.6868 + 7.56980i −1.29088 + 0.290075i
\(682\) 0.773872 + 1.34039i 0.0296331 + 0.0513260i
\(683\) 7.67101 0.293523 0.146762 0.989172i \(-0.453115\pi\)
0.146762 + 0.989172i \(0.453115\pi\)
\(684\) −55.6238 + 28.4170i −2.12683 + 1.08655i
\(685\) −31.5997 −1.20736
\(686\) −4.71741 8.17079i −0.180112 0.311962i
\(687\) 12.2986 39.4006i 0.469220 1.50323i
\(688\) 8.15663 14.1277i 0.310969 0.538614i
\(689\) −24.3617 −0.928109
\(690\) 10.5316 + 11.4271i 0.400930 + 0.435022i
\(691\) 21.0972 36.5414i 0.802574 1.39010i −0.115342 0.993326i \(-0.536796\pi\)
0.917916 0.396774i \(-0.129870\pi\)
\(692\) −121.316 −4.61175
\(693\) 3.02383 1.43125i 0.114866 0.0543687i
\(694\) 0.970383 + 1.68075i 0.0368352 + 0.0638005i
\(695\) 5.68088 9.83958i 0.215488 0.373236i
\(696\) −26.1480 28.3714i −0.991136 1.07541i
\(697\) −13.4554 + 23.3055i −0.509661 + 0.882758i
\(698\) 33.0019 1.24914
\(699\) −8.96027 + 2.01347i −0.338908 + 0.0761566i
\(700\) −28.2608 48.9491i −1.06816 1.85010i
\(701\) 16.4395 28.4740i 0.620911 1.07545i −0.368405 0.929665i \(-0.620096\pi\)
0.989316 0.145784i \(-0.0465705\pi\)
\(702\) 58.4117 45.6263i 2.20461 1.72205i
\(703\) 18.2714 33.9795i 0.689119 1.28156i
\(704\) −1.02281 + 1.77156i −0.0385486 + 0.0667681i
\(705\) 3.29171 + 3.57162i 0.123973 + 0.134515i
\(706\) 10.4750 0.394233
\(707\) 25.4416 44.0662i 0.956831 1.65728i
\(708\) −2.12868 + 0.478339i −0.0800008 + 0.0179771i
\(709\) 10.1385 0.380759 0.190380 0.981711i \(-0.439028\pi\)
0.190380 + 0.981711i \(0.439028\pi\)
\(710\) −85.7682 −3.21882
\(711\) 24.4388 11.5674i 0.916526 0.433813i
\(712\) 3.04770 + 5.27878i 0.114218 + 0.197831i
\(713\) 2.30167 0.0861983
\(714\) 50.9448 11.4479i 1.90656 0.428426i
\(715\) 2.43920 + 4.22482i 0.0912210 + 0.157999i
\(716\) 12.4160 21.5051i 0.464007 0.803684i
\(717\) −2.56081 + 8.20397i −0.0956351 + 0.306383i
\(718\) −42.6312 −1.59098
\(719\) −23.7652 + 41.1625i −0.886292 + 1.53510i −0.0420660 + 0.999115i \(0.513394\pi\)
−0.844226 + 0.535988i \(0.819939\pi\)
\(720\) 72.2848 34.2141i 2.69390 1.27508i
\(721\) 30.5626 1.13821
\(722\) 22.0967 44.2503i 0.822354 1.64683i
\(723\) −11.9375 12.9526i −0.443962 0.481713i
\(724\) 100.349 3.72944
\(725\) −10.1165 −0.375716
\(726\) 47.9698 10.7794i 1.78032 0.400059i
\(727\) 1.95576 + 3.38748i 0.0725352 + 0.125635i 0.900012 0.435866i \(-0.143558\pi\)
−0.827477 + 0.561500i \(0.810224\pi\)
\(728\) −71.3864 123.645i −2.64576 4.58258i
\(729\) 6.53743 26.1966i 0.242127 0.970245i
\(730\) −48.6318 −1.79994
\(731\) 5.65783 0.209262
\(732\) 18.1790 4.08502i 0.671914 0.150987i
\(733\) −6.52272 11.2977i −0.240922 0.417290i 0.720055 0.693917i \(-0.244117\pi\)
−0.960977 + 0.276627i \(0.910783\pi\)
\(734\) 47.2194 + 81.7864i 1.74290 + 3.01879i
\(735\) −8.90360 + 28.5242i −0.328414 + 1.05213i
\(736\) 5.78228 + 10.0152i 0.213138 + 0.369165i
\(737\) −0.283974 0.491858i −0.0104603 0.0181178i
\(738\) 59.1302 27.9877i 2.17661 1.03024i
\(739\) 7.44484 12.8948i 0.273863 0.474344i −0.695985 0.718057i \(-0.745032\pi\)
0.969848 + 0.243712i \(0.0783652\pi\)
\(740\) −60.8362 + 105.371i −2.23638 + 3.87353i
\(741\) −11.1273 + 39.8450i −0.408771 + 1.46374i
\(742\) 20.8604 + 36.1312i 0.765808 + 1.32642i
\(743\) −43.5969 −1.59942 −0.799708 0.600389i \(-0.795012\pi\)
−0.799708 + 0.600389i \(0.795012\pi\)
\(744\) 7.16945 22.9685i 0.262845 0.842068i
\(745\) −25.6607 −0.940135
\(746\) −9.82728 + 17.0214i −0.359802 + 0.623196i
\(747\) 8.46952 + 5.85817i 0.309883 + 0.214339i
\(748\) −4.74701 −0.173568
\(749\) 1.08126 1.87280i 0.0395084 0.0684305i
\(750\) −6.64039 + 21.2736i −0.242473 + 0.776802i
\(751\) −3.45459 + 5.98353i −0.126060 + 0.218342i −0.922147 0.386840i \(-0.873566\pi\)
0.796087 + 0.605182i \(0.206900\pi\)
\(752\) 4.51282 + 7.81643i 0.164566 + 0.285036i
\(753\) −9.05842 + 29.0202i −0.330107 + 1.05755i
\(754\) −43.9608 −1.60096
\(755\) 7.18271 12.4408i 0.261405 0.452767i
\(756\) −82.9526 33.5252i −3.01696 1.21930i
\(757\) −20.6736 + 35.8077i −0.751395 + 1.30145i 0.195752 + 0.980653i \(0.437285\pi\)
−0.947147 + 0.320801i \(0.896048\pi\)
\(758\) −44.2420 76.6295i −1.60694 2.78331i
\(759\) −0.191196 + 0.612528i −0.00693997 + 0.0222333i
\(760\) −42.9423 + 79.8600i −1.55768 + 2.89683i
\(761\) −0.739771 1.28132i −0.0268167 0.0464478i 0.852306 0.523044i \(-0.175204\pi\)
−0.879122 + 0.476596i \(0.841870\pi\)
\(762\) 67.6955 15.2120i 2.45235 0.551071i
\(763\) 30.3381 + 52.5471i 1.09831 + 1.90233i
\(764\) 12.6788 + 21.9603i 0.458703 + 0.794497i
\(765\) 22.8115 + 15.7782i 0.824752 + 0.570462i
\(766\) −10.1970 17.6617i −0.368432 0.638144i
\(767\) −0.722506 + 1.25142i −0.0260882 + 0.0451861i
\(768\) −31.5851 + 7.09754i −1.13973 + 0.256110i
\(769\) 2.96155 5.12955i 0.106796 0.184976i −0.807674 0.589629i \(-0.799274\pi\)
0.914471 + 0.404652i \(0.132607\pi\)
\(770\) 4.17726 7.23523i 0.150538 0.260739i
\(771\) 1.81314 0.407433i 0.0652985 0.0146733i
\(772\) −43.3625 + 75.1061i −1.56065 + 2.70313i
\(773\) −12.4546 21.5720i −0.447961 0.775892i 0.550292 0.834972i \(-0.314516\pi\)
−0.998253 + 0.0590807i \(0.981183\pi\)
\(774\) −11.3117 7.82407i −0.406592 0.281230i
\(775\) −3.15446