Properties

Label 731.2.k.a.35.12
Level 731
Weight 2
Character 731.35
Analytic conductor 5.837
Analytic rank 0
Dimension 180
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.k (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(180\)
Relative dimension: \(30\) over \(\Q(\zeta_{7})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 35.12
Character \(\chi\) = 731.35
Dual form 731.2.k.a.188.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.257740 + 1.12923i) q^{2} +(-0.136286 - 0.597106i) q^{3} +(0.593200 + 0.285670i) q^{4} +(1.65651 - 2.07719i) q^{5} +0.709399 q^{6} -2.51623 q^{7} +(-1.91982 + 2.40738i) q^{8} +(2.36494 - 1.13890i) q^{9} +O(q^{10})\) \(q+(-0.257740 + 1.12923i) q^{2} +(-0.136286 - 0.597106i) q^{3} +(0.593200 + 0.285670i) q^{4} +(1.65651 - 2.07719i) q^{5} +0.709399 q^{6} -2.51623 q^{7} +(-1.91982 + 2.40738i) q^{8} +(2.36494 - 1.13890i) q^{9} +(1.91869 + 2.40596i) q^{10} +(1.70965 - 0.823326i) q^{11} +(0.0897307 - 0.393136i) q^{12} +(-2.39179 + 2.99922i) q^{13} +(0.648534 - 2.84141i) q^{14} +(-1.46606 - 0.706018i) q^{15} +(-1.40267 - 1.75889i) q^{16} +(0.623490 + 0.781831i) q^{17} +(0.676540 + 2.96411i) q^{18} +(6.65251 + 3.20368i) q^{19} +(1.57603 - 0.758976i) q^{20} +(0.342926 + 1.50246i) q^{21} +(0.489081 + 2.14280i) q^{22} +(7.09861 - 3.41851i) q^{23} +(1.69911 + 0.818247i) q^{24} +(-0.458112 - 2.00712i) q^{25} +(-2.77035 - 3.47391i) q^{26} +(-2.14794 - 2.69343i) q^{27} +(-1.49263 - 0.718812i) q^{28} +(0.0737491 - 0.323116i) q^{29} +(1.17512 - 1.47356i) q^{30} +(1.66645 - 7.30120i) q^{31} +(-3.20073 + 1.54139i) q^{32} +(-0.724614 - 0.908637i) q^{33} +(-1.04357 + 0.502556i) q^{34} +(-4.16815 + 5.22670i) q^{35} +1.72823 q^{36} +6.55081 q^{37} +(-5.33232 + 6.68652i) q^{38} +(2.11682 + 1.01941i) q^{39} +(1.82040 + 7.97568i) q^{40} +(1.71202 - 7.50085i) q^{41} -1.78501 q^{42} +(5.75591 - 3.14158i) q^{43} +1.24937 q^{44} +(1.55183 - 6.79903i) q^{45} +(2.03070 + 8.89707i) q^{46} +(-4.99170 - 2.40387i) q^{47} +(-0.859080 + 1.07725i) q^{48} -0.668579 q^{49} +2.38458 q^{50} +(0.381864 - 0.478842i) q^{51} +(-2.27560 + 1.09587i) q^{52} +(3.03827 + 3.80987i) q^{53} +(3.59513 - 1.73132i) q^{54} +(1.12184 - 4.91512i) q^{55} +(4.83072 - 6.05753i) q^{56} +(1.00630 - 4.40887i) q^{57} +(0.345865 + 0.166560i) q^{58} +(5.42300 + 6.80022i) q^{59} +(-0.667979 - 0.837620i) q^{60} +(1.55634 + 6.81875i) q^{61} +(7.81525 + 3.76363i) q^{62} +(-5.95075 + 2.86573i) q^{63} +(-1.91684 - 8.39825i) q^{64} +(2.26793 + 9.93643i) q^{65} +(1.21283 - 0.584066i) q^{66} +(-7.14583 - 3.44125i) q^{67} +(0.146508 + 0.641894i) q^{68} +(-3.00865 - 3.77273i) q^{69} +(-4.82786 - 6.05394i) q^{70} +(-9.47442 - 4.56264i) q^{71} +(-1.79851 + 7.87981i) q^{72} +(-9.85126 + 12.3531i) q^{73} +(-1.68841 + 7.39739i) q^{74} +(-1.13603 + 0.547083i) q^{75} +(3.03107 + 3.80084i) q^{76} +(-4.30188 + 2.07168i) q^{77} +(-1.69674 + 2.12764i) q^{78} -12.8820 q^{79} -5.97707 q^{80} +(3.59424 - 4.50704i) q^{81} +(8.02896 + 3.86654i) q^{82} +(0.742700 + 3.25398i) q^{83} +(-0.225783 + 0.989221i) q^{84} +2.65683 q^{85} +(2.06405 + 7.30947i) q^{86} -0.202985 q^{87} +(-1.30017 + 5.69643i) q^{88} +(2.76586 + 12.1180i) q^{89} +(7.27772 + 3.50477i) q^{90} +(6.01831 - 7.54672i) q^{91} +5.18746 q^{92} -4.58671 q^{93} +(4.00110 - 5.01722i) q^{94} +(17.6746 - 8.51163i) q^{95} +(1.35659 + 1.70111i) q^{96} +(-17.1615 + 8.26455i) q^{97} +(0.172320 - 0.754981i) q^{98} +(3.10555 - 3.89424i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 180q - 4q^{2} - 6q^{3} - 34q^{4} - 6q^{5} - 14q^{6} + 66q^{7} + 2q^{8} - 26q^{9} + O(q^{10}) \) \( 180q - 4q^{2} - 6q^{3} - 34q^{4} - 6q^{5} - 14q^{6} + 66q^{7} + 2q^{8} - 26q^{9} - 8q^{10} - 12q^{11} - 24q^{12} - 5q^{13} - 8q^{14} - q^{15} - 58q^{16} - 30q^{17} + 36q^{18} - 24q^{19} - 36q^{20} - 28q^{21} + 5q^{22} + 27q^{23} - 46q^{24} - 38q^{25} + 6q^{26} - 36q^{27} - 54q^{28} + 28q^{29} - 21q^{30} + 36q^{31} + 11q^{32} + 5q^{33} - 4q^{34} + 6q^{35} + 192q^{36} + 164q^{37} + 32q^{38} - 34q^{39} + 2q^{40} + 42q^{41} - 2q^{42} - 22q^{43} + 14q^{44} + 58q^{45} - 53q^{46} + 21q^{47} - 20q^{48} + 166q^{49} + 18q^{50} - 6q^{51} + 54q^{52} + 8q^{53} - 154q^{54} - 5q^{55} - 35q^{56} + 8q^{57} + 9q^{58} - 13q^{59} - 88q^{60} - 34q^{61} - 36q^{62} - 31q^{63} - 18q^{64} + 9q^{65} + 222q^{66} - 48q^{67} - 27q^{68} + 2q^{69} - 64q^{70} - 42q^{71} + 77q^{72} - 44q^{73} - 35q^{74} - 21q^{75} + 44q^{76} - 32q^{77} + 124q^{78} - 96q^{79} + 490q^{80} - 12q^{81} - 130q^{82} - 8q^{83} + 170q^{84} + 22q^{85} - 12q^{86} - 90q^{87} - 122q^{88} - 81q^{89} + 49q^{90} - 27q^{91} - 116q^{92} + 18q^{93} - 124q^{94} + 117q^{95} + 52q^{96} - 79q^{97} - 54q^{98} - 39q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.257740 + 1.12923i −0.182250 + 0.798489i 0.798307 + 0.602251i \(0.205729\pi\)
−0.980556 + 0.196237i \(0.937128\pi\)
\(3\) −0.136286 0.597106i −0.0786845 0.344739i 0.920227 0.391385i \(-0.128004\pi\)
−0.998911 + 0.0466457i \(0.985147\pi\)
\(4\) 0.593200 + 0.285670i 0.296600 + 0.142835i
\(5\) 1.65651 2.07719i 0.740812 0.928948i −0.258501 0.966011i \(-0.583229\pi\)
0.999313 + 0.0370625i \(0.0118001\pi\)
\(6\) 0.709399 0.289611
\(7\) −2.51623 −0.951046 −0.475523 0.879703i \(-0.657741\pi\)
−0.475523 + 0.879703i \(0.657741\pi\)
\(8\) −1.91982 + 2.40738i −0.678760 + 0.851138i
\(9\) 2.36494 1.13890i 0.788315 0.379632i
\(10\) 1.91869 + 2.40596i 0.606742 + 0.760830i
\(11\) 1.70965 0.823326i 0.515480 0.248242i −0.158011 0.987437i \(-0.550508\pi\)
0.673491 + 0.739195i \(0.264794\pi\)
\(12\) 0.0897307 0.393136i 0.0259030 0.113489i
\(13\) −2.39179 + 2.99922i −0.663365 + 0.831833i −0.993705 0.112029i \(-0.964265\pi\)
0.330340 + 0.943862i \(0.392836\pi\)
\(14\) 0.648534 2.84141i 0.173328 0.759399i
\(15\) −1.46606 0.706018i −0.378536 0.182293i
\(16\) −1.40267 1.75889i −0.350667 0.439722i
\(17\) 0.623490 + 0.781831i 0.151218 + 0.189622i
\(18\) 0.676540 + 2.96411i 0.159462 + 0.698648i
\(19\) 6.65251 + 3.20368i 1.52619 + 0.734975i 0.993764 0.111502i \(-0.0355660\pi\)
0.532426 + 0.846476i \(0.321280\pi\)
\(20\) 1.57603 0.758976i 0.352411 0.169712i
\(21\) 0.342926 + 1.50246i 0.0748326 + 0.327863i
\(22\) 0.489081 + 2.14280i 0.104272 + 0.456847i
\(23\) 7.09861 3.41851i 1.48016 0.712808i 0.492631 0.870238i \(-0.336035\pi\)
0.987530 + 0.157430i \(0.0503208\pi\)
\(24\) 1.69911 + 0.818247i 0.346829 + 0.167024i
\(25\) −0.458112 2.00712i −0.0916223 0.401424i
\(26\) −2.77035 3.47391i −0.543311 0.681290i
\(27\) −2.14794 2.69343i −0.413372 0.518352i
\(28\) −1.49263 0.718812i −0.282080 0.135843i
\(29\) 0.0737491 0.323116i 0.0136949 0.0600011i −0.967619 0.252416i \(-0.918775\pi\)
0.981314 + 0.192415i \(0.0616320\pi\)
\(30\) 1.17512 1.47356i 0.214547 0.269033i
\(31\) 1.66645 7.30120i 0.299304 1.31133i −0.571864 0.820349i \(-0.693779\pi\)
0.871167 0.490986i \(-0.163363\pi\)
\(32\) −3.20073 + 1.54139i −0.565815 + 0.272482i
\(33\) −0.724614 0.908637i −0.126139 0.158173i
\(34\) −1.04357 + 0.502556i −0.178971 + 0.0861877i
\(35\) −4.16815 + 5.22670i −0.704546 + 0.883473i
\(36\) 1.72823 0.288039
\(37\) 6.55081 1.07695 0.538473 0.842643i \(-0.319001\pi\)
0.538473 + 0.842643i \(0.319001\pi\)
\(38\) −5.33232 + 6.68652i −0.865017 + 1.08470i
\(39\) 2.11682 + 1.01941i 0.338962 + 0.163236i
\(40\) 1.82040 + 7.97568i 0.287830 + 1.26107i
\(41\) 1.71202 7.50085i 0.267373 1.17144i −0.645684 0.763604i \(-0.723428\pi\)
0.913057 0.407832i \(-0.133715\pi\)
\(42\) −1.78501 −0.275433
\(43\) 5.75591 3.14158i 0.877768 0.479086i
\(44\) 1.24937 0.188349
\(45\) 1.55183 6.79903i 0.231334 1.01354i
\(46\) 2.03070 + 8.89707i 0.299410 + 1.31180i
\(47\) −4.99170 2.40387i −0.728114 0.350641i 0.0328282 0.999461i \(-0.489549\pi\)
−0.760942 + 0.648820i \(0.775263\pi\)
\(48\) −0.859080 + 1.07725i −0.123998 + 0.155488i
\(49\) −0.668579 −0.0955112
\(50\) 2.38458 0.337230
\(51\) 0.381864 0.478842i 0.0534716 0.0670513i
\(52\) −2.27560 + 1.09587i −0.315569 + 0.151970i
\(53\) 3.03827 + 3.80987i 0.417339 + 0.523326i 0.945414 0.325871i \(-0.105658\pi\)
−0.528075 + 0.849197i \(0.677086\pi\)
\(54\) 3.59513 1.73132i 0.489235 0.235603i
\(55\) 1.12184 4.91512i 0.151269 0.662755i
\(56\) 4.83072 6.05753i 0.645532 0.809472i
\(57\) 1.00630 4.40887i 0.133287 0.583969i
\(58\) 0.345865 + 0.166560i 0.0454143 + 0.0218704i
\(59\) 5.42300 + 6.80022i 0.706014 + 0.885314i 0.997457 0.0712746i \(-0.0227067\pi\)
−0.291443 + 0.956588i \(0.594135\pi\)
\(60\) −0.667979 0.837620i −0.0862358 0.108136i
\(61\) 1.55634 + 6.81875i 0.199268 + 0.873052i 0.971374 + 0.237557i \(0.0763466\pi\)
−0.772105 + 0.635495i \(0.780796\pi\)
\(62\) 7.81525 + 3.76363i 0.992538 + 0.477981i
\(63\) −5.95075 + 2.86573i −0.749724 + 0.361048i
\(64\) −1.91684 8.39825i −0.239606 1.04978i
\(65\) 2.26793 + 9.93643i 0.281302 + 1.23246i
\(66\) 1.21283 0.584066i 0.149289 0.0718936i
\(67\) −7.14583 3.44125i −0.873002 0.420416i −0.0569383 0.998378i \(-0.518134\pi\)
−0.816064 + 0.577962i \(0.803848\pi\)
\(68\) 0.146508 + 0.641894i 0.0177667 + 0.0778411i
\(69\) −3.00865 3.77273i −0.362199 0.454183i
\(70\) −4.82786 6.05394i −0.577040 0.723585i
\(71\) −9.47442 4.56264i −1.12441 0.541486i −0.223155 0.974783i \(-0.571636\pi\)
−0.901251 + 0.433297i \(0.857350\pi\)
\(72\) −1.79851 + 7.87981i −0.211957 + 0.928644i
\(73\) −9.85126 + 12.3531i −1.15300 + 1.44582i −0.278741 + 0.960366i \(0.589917\pi\)
−0.874262 + 0.485454i \(0.838654\pi\)
\(74\) −1.68841 + 7.39739i −0.196273 + 0.859929i
\(75\) −1.13603 + 0.547083i −0.131177 + 0.0631717i
\(76\) 3.03107 + 3.80084i 0.347688 + 0.435987i
\(77\) −4.30188 + 2.07168i −0.490245 + 0.236090i
\(78\) −1.69674 + 2.12764i −0.192117 + 0.240908i
\(79\) −12.8820 −1.44934 −0.724670 0.689096i \(-0.758008\pi\)
−0.724670 + 0.689096i \(0.758008\pi\)
\(80\) −5.97707 −0.668257
\(81\) 3.59424 4.50704i 0.399361 0.500782i
\(82\) 8.02896 + 3.86654i 0.886650 + 0.426988i
\(83\) 0.742700 + 3.25398i 0.0815219 + 0.357171i 0.999193 0.0401703i \(-0.0127901\pi\)
−0.917671 + 0.397341i \(0.869933\pi\)
\(84\) −0.225783 + 0.989221i −0.0246350 + 0.107933i
\(85\) 2.65683 0.288173
\(86\) 2.06405 + 7.30947i 0.222572 + 0.788201i
\(87\) −0.202985 −0.0217623
\(88\) −1.30017 + 5.69643i −0.138599 + 0.607241i
\(89\) 2.76586 + 12.1180i 0.293181 + 1.28451i 0.880071 + 0.474842i \(0.157495\pi\)
−0.586891 + 0.809666i \(0.699648\pi\)
\(90\) 7.27772 + 3.50477i 0.767140 + 0.369435i
\(91\) 6.01831 7.54672i 0.630890 0.791111i
\(92\) 5.18746 0.540830
\(93\) −4.58671 −0.475619
\(94\) 4.00110 5.01722i 0.412682 0.517486i
\(95\) 17.6746 8.51163i 1.81337 0.873275i
\(96\) 1.35659 + 1.70111i 0.138456 + 0.173618i
\(97\) −17.1615 + 8.26455i −1.74249 + 0.839138i −0.760713 + 0.649088i \(0.775151\pi\)
−0.981774 + 0.190050i \(0.939135\pi\)
\(98\) 0.172320 0.754981i 0.0174069 0.0762646i
\(99\) 3.10555 3.89424i 0.312120 0.391386i
\(100\) 0.301622 1.32149i 0.0301622 0.132149i
\(101\) 8.67851 + 4.17935i 0.863544 + 0.415861i 0.812587 0.582840i \(-0.198059\pi\)
0.0509568 + 0.998701i \(0.483773\pi\)
\(102\) 0.442303 + 0.554630i 0.0437945 + 0.0549166i
\(103\) −3.26793 4.09785i −0.321999 0.403773i 0.594317 0.804231i \(-0.297423\pi\)
−0.916315 + 0.400458i \(0.868851\pi\)
\(104\) −2.62844 11.5159i −0.257739 1.12923i
\(105\) 3.68895 + 1.77651i 0.360005 + 0.173369i
\(106\) −5.08532 + 2.44896i −0.493930 + 0.237864i
\(107\) 0.792356 + 3.47154i 0.0766000 + 0.335606i 0.998678 0.0513969i \(-0.0163673\pi\)
−0.922078 + 0.387003i \(0.873510\pi\)
\(108\) −0.504725 2.21135i −0.0485672 0.212787i
\(109\) 3.43424 1.65384i 0.328941 0.158409i −0.262123 0.965035i \(-0.584423\pi\)
0.591063 + 0.806625i \(0.298708\pi\)
\(110\) 5.26117 + 2.53365i 0.501633 + 0.241574i
\(111\) −0.892781 3.91153i −0.0847390 0.371266i
\(112\) 3.52943 + 4.42577i 0.333500 + 0.418196i
\(113\) −3.26580 4.09518i −0.307221 0.385242i 0.604122 0.796892i \(-0.293524\pi\)
−0.911342 + 0.411650i \(0.864953\pi\)
\(114\) 4.71928 + 2.27269i 0.442001 + 0.212857i
\(115\) 4.65798 20.4079i 0.434359 1.90305i
\(116\) 0.136052 0.170604i 0.0126321 0.0158402i
\(117\) −2.24066 + 9.81699i −0.207149 + 0.907581i
\(118\) −9.07676 + 4.37114i −0.835584 + 0.402396i
\(119\) −1.56884 1.96727i −0.143816 0.180339i
\(120\) 4.51423 2.17394i 0.412091 0.198453i
\(121\) −4.61334 + 5.78494i −0.419394 + 0.525904i
\(122\) −8.10109 −0.733438
\(123\) −4.71213 −0.424878
\(124\) 3.07427 3.85502i 0.276078 0.346191i
\(125\) 7.04056 + 3.39056i 0.629727 + 0.303261i
\(126\) −1.70233 7.45840i −0.151656 0.664447i
\(127\) 1.37987 6.04559i 0.122443 0.536460i −0.876081 0.482163i \(-0.839851\pi\)
0.998525 0.0542964i \(-0.0172916\pi\)
\(128\) 2.87254 0.253899
\(129\) −2.66030 3.00874i −0.234227 0.264904i
\(130\) −11.8051 −1.03537
\(131\) −2.11193 + 9.25296i −0.184520 + 0.808435i 0.794922 + 0.606711i \(0.207511\pi\)
−0.979442 + 0.201724i \(0.935346\pi\)
\(132\) −0.170270 0.746004i −0.0148201 0.0649313i
\(133\) −16.7393 8.06120i −1.45148 0.698995i
\(134\) 5.72774 7.18236i 0.494801 0.620461i
\(135\) −9.15285 −0.787752
\(136\) −3.07916 −0.264036
\(137\) −8.36995 + 10.4956i −0.715093 + 0.896699i −0.998049 0.0624344i \(-0.980114\pi\)
0.282956 + 0.959133i \(0.408685\pi\)
\(138\) 5.03574 2.42508i 0.428671 0.206437i
\(139\) −12.7405 15.9760i −1.08063 1.35507i −0.930453 0.366412i \(-0.880586\pi\)
−0.150180 0.988659i \(-0.547985\pi\)
\(140\) −3.96566 + 1.90976i −0.335159 + 0.161404i
\(141\) −0.755072 + 3.30819i −0.0635885 + 0.278600i
\(142\) 7.59422 9.52285i 0.637293 0.799140i
\(143\) −1.61981 + 7.09685i −0.135455 + 0.593468i
\(144\) −5.32042 2.56218i −0.443369 0.213515i
\(145\) −0.549008 0.688434i −0.0455926 0.0571713i
\(146\) −11.4105 14.3083i −0.944336 1.18416i
\(147\) 0.0911177 + 0.399213i 0.00751526 + 0.0329265i
\(148\) 3.88594 + 1.87137i 0.319422 + 0.153826i
\(149\) 2.86137 1.37797i 0.234413 0.112887i −0.312990 0.949756i \(-0.601331\pi\)
0.547403 + 0.836869i \(0.315616\pi\)
\(150\) −0.324984 1.42385i −0.0265348 0.116257i
\(151\) −3.73517 16.3649i −0.303964 1.33175i −0.864087 0.503343i \(-0.832103\pi\)
0.560123 0.828410i \(-0.310754\pi\)
\(152\) −20.4841 + 9.86464i −1.66148 + 0.800128i
\(153\) 2.36494 + 1.13890i 0.191194 + 0.0920744i
\(154\) −1.23064 5.39179i −0.0991678 0.434482i
\(155\) −12.4055 15.5560i −0.996435 1.24949i
\(156\) 0.964482 + 1.20942i 0.0772204 + 0.0968313i
\(157\) −8.21943 3.95827i −0.655982 0.315904i 0.0761205 0.997099i \(-0.475747\pi\)
−0.732103 + 0.681194i \(0.761461\pi\)
\(158\) 3.32021 14.5468i 0.264142 1.15728i
\(159\) 1.86083 2.33340i 0.147573 0.185051i
\(160\) −2.10026 + 9.20185i −0.166040 + 0.727470i
\(161\) −17.8617 + 8.60176i −1.40770 + 0.677914i
\(162\) 4.16312 + 5.22039i 0.327086 + 0.410152i
\(163\) 3.96267 1.90832i 0.310380 0.149471i −0.272209 0.962238i \(-0.587754\pi\)
0.582589 + 0.812767i \(0.302040\pi\)
\(164\) 3.15834 3.96043i 0.246625 0.309258i
\(165\) −3.08774 −0.240380
\(166\) −3.86593 −0.300054
\(167\) 6.74240 8.45470i 0.521743 0.654245i −0.449235 0.893413i \(-0.648303\pi\)
0.970978 + 0.239169i \(0.0768749\pi\)
\(168\) −4.27535 2.05890i −0.329850 0.158847i
\(169\) −0.381841 1.67295i −0.0293724 0.128689i
\(170\) −0.684771 + 3.00018i −0.0525196 + 0.230103i
\(171\) 19.3815 1.48214
\(172\) 4.31186 0.219295i 0.328776 0.0167211i
\(173\) 2.76669 0.210348 0.105174 0.994454i \(-0.466460\pi\)
0.105174 + 0.994454i \(0.466460\pi\)
\(174\) 0.0523175 0.229218i 0.00396618 0.0173770i
\(175\) 1.15271 + 5.05037i 0.0871371 + 0.381772i
\(176\) −3.84621 1.85224i −0.289919 0.139618i
\(177\) 3.32138 4.16488i 0.249650 0.313051i
\(178\) −14.3969 −1.07910
\(179\) −25.2317 −1.88591 −0.942953 0.332925i \(-0.891965\pi\)
−0.942953 + 0.332925i \(0.891965\pi\)
\(180\) 2.86283 3.58987i 0.213383 0.267573i
\(181\) 8.96509 4.31736i 0.666370 0.320907i −0.0699403 0.997551i \(-0.522281\pi\)
0.736310 + 0.676645i \(0.236567\pi\)
\(182\) 6.97085 + 8.74117i 0.516714 + 0.647939i
\(183\) 3.85941 1.85860i 0.285296 0.137391i
\(184\) −5.39841 + 23.6520i −0.397976 + 1.74365i
\(185\) 10.8514 13.6073i 0.797814 1.00043i
\(186\) 1.18218 5.17946i 0.0866815 0.379777i
\(187\) 1.70965 + 0.823326i 0.125022 + 0.0602075i
\(188\) −2.27436 2.85196i −0.165875 0.208000i
\(189\) 5.40472 + 6.77730i 0.393135 + 0.492976i
\(190\) 5.05617 + 22.1525i 0.366813 + 1.60711i
\(191\) 11.6899 + 5.62957i 0.845853 + 0.407341i 0.806037 0.591866i \(-0.201608\pi\)
0.0398164 + 0.999207i \(0.487323\pi\)
\(192\) −4.75341 + 2.28912i −0.343048 + 0.165203i
\(193\) −4.88901 21.4202i −0.351919 1.54186i −0.772746 0.634716i \(-0.781117\pi\)
0.420827 0.907141i \(-0.361740\pi\)
\(194\) −4.90939 21.5095i −0.352474 1.54429i
\(195\) 5.62402 2.70839i 0.402744 0.193952i
\(196\) −0.396601 0.190993i −0.0283286 0.0136423i
\(197\) −0.0287992 0.126177i −0.00205185 0.00898976i 0.973892 0.227013i \(-0.0728961\pi\)
−0.975943 + 0.218024i \(0.930039\pi\)
\(198\) 3.59708 + 4.51060i 0.255633 + 0.320554i
\(199\) 4.53698 + 5.68919i 0.321618 + 0.403296i 0.916189 0.400747i \(-0.131249\pi\)
−0.594571 + 0.804043i \(0.702678\pi\)
\(200\) 5.71139 + 2.75046i 0.403856 + 0.194487i
\(201\) −1.08092 + 4.73581i −0.0762421 + 0.334038i
\(202\) −6.95626 + 8.72287i −0.489441 + 0.613739i
\(203\) −0.185570 + 0.813034i −0.0130244 + 0.0570638i
\(204\) 0.363312 0.174962i 0.0254369 0.0122498i
\(205\) −12.7447 15.9814i −0.890131 1.11619i
\(206\) 5.46971 2.63407i 0.381093 0.183525i
\(207\) 12.8945 16.1692i 0.896228 1.12383i
\(208\) 8.63018 0.598395
\(209\) 14.0112 0.969172
\(210\) −2.95688 + 3.70781i −0.204044 + 0.255863i
\(211\) −15.1507 7.29618i −1.04302 0.502290i −0.167698 0.985838i \(-0.553633\pi\)
−0.875318 + 0.483548i \(0.839348\pi\)
\(212\) 0.713936 + 3.12796i 0.0490333 + 0.214829i
\(213\) −1.43315 + 6.27905i −0.0981980 + 0.430234i
\(214\) −4.12440 −0.281938
\(215\) 3.00903 17.1602i 0.205214 1.17031i
\(216\) 10.6078 0.721769
\(217\) −4.19318 + 18.3715i −0.284652 + 1.24714i
\(218\) 0.982433 + 4.30432i 0.0665388 + 0.291525i
\(219\) 8.71869 + 4.19870i 0.589155 + 0.283722i
\(220\) 2.06958 2.59517i 0.139531 0.174966i
\(221\) −3.83614 −0.258047
\(222\) 4.64713 0.311895
\(223\) −8.52563 + 10.6908i −0.570918 + 0.715909i −0.980534 0.196349i \(-0.937091\pi\)
0.409616 + 0.912258i \(0.365663\pi\)
\(224\) 8.05378 3.87850i 0.538116 0.259143i
\(225\) −3.36931 4.22498i −0.224621 0.281665i
\(226\) 5.46614 2.63236i 0.363602 0.175102i
\(227\) −4.97893 + 21.8141i −0.330463 + 1.44785i 0.487773 + 0.872971i \(0.337810\pi\)
−0.818236 + 0.574883i \(0.805048\pi\)
\(228\) 1.85642 2.32787i 0.122944 0.154167i
\(229\) 3.25857 14.2767i 0.215332 0.943433i −0.745544 0.666456i \(-0.767810\pi\)
0.960877 0.276977i \(-0.0893325\pi\)
\(230\) 21.8448 + 10.5199i 1.44040 + 0.693661i
\(231\) 1.82330 + 2.28634i 0.119964 + 0.150430i
\(232\) 0.636278 + 0.797867i 0.0417737 + 0.0523825i
\(233\) 4.22137 + 18.4950i 0.276551 + 1.21165i 0.902121 + 0.431483i \(0.142009\pi\)
−0.625570 + 0.780168i \(0.715133\pi\)
\(234\) −10.5082 5.06046i −0.686940 0.330813i
\(235\) −13.2621 + 6.38668i −0.865123 + 0.416621i
\(236\) 1.27430 + 5.58308i 0.0829499 + 0.363427i
\(237\) 1.75563 + 7.69193i 0.114041 + 0.499645i
\(238\) 2.62586 1.26455i 0.170209 0.0819684i
\(239\) −16.7351 8.05918i −1.08250 0.521305i −0.194385 0.980925i \(-0.562271\pi\)
−0.888115 + 0.459621i \(0.847985\pi\)
\(240\) 0.814589 + 3.56895i 0.0525815 + 0.230375i
\(241\) 13.2210 + 16.5786i 0.851638 + 1.06792i 0.996912 + 0.0785290i \(0.0250223\pi\)
−0.145274 + 0.989392i \(0.546406\pi\)
\(242\) −5.34351 6.70055i −0.343494 0.430727i
\(243\) −12.4926 6.01613i −0.801402 0.385935i
\(244\) −1.02469 + 4.48948i −0.0655993 + 0.287409i
\(245\) −1.10750 + 1.38877i −0.0707558 + 0.0887250i
\(246\) 1.21450 5.32109i 0.0774340 0.339261i
\(247\) −25.5200 + 12.2898i −1.62380 + 0.781979i
\(248\) 14.3775 + 18.0288i 0.912972 + 1.14483i
\(249\) 1.84175 0.886942i 0.116716 0.0562077i
\(250\) −5.64337 + 7.07656i −0.356918 + 0.447561i
\(251\) 16.5050 1.04179 0.520894 0.853621i \(-0.325599\pi\)
0.520894 + 0.853621i \(0.325599\pi\)
\(252\) −4.34863 −0.273938
\(253\) 9.32161 11.6889i 0.586045 0.734877i
\(254\) 6.47124 + 3.11638i 0.406042 + 0.195539i
\(255\) −0.362087 1.58641i −0.0226748 0.0993448i
\(256\) 3.09332 13.5527i 0.193333 0.847045i
\(257\) 8.26406 0.515498 0.257749 0.966212i \(-0.417019\pi\)
0.257749 + 0.966212i \(0.417019\pi\)
\(258\) 4.08323 2.22863i 0.254211 0.138749i
\(259\) −16.4833 −1.02423
\(260\) −1.49321 + 6.54217i −0.0926048 + 0.405728i
\(261\) −0.193583 0.848143i −0.0119825 0.0524988i
\(262\) −9.90442 4.76972i −0.611897 0.294674i
\(263\) 15.8977 19.9351i 0.980292 1.22925i 0.00693006 0.999976i \(-0.497794\pi\)
0.973362 0.229272i \(-0.0736345\pi\)
\(264\) 3.57857 0.220246
\(265\) 12.9467 0.795312
\(266\) 13.4174 16.8248i 0.822671 1.03160i
\(267\) 6.85880 3.30302i 0.419752 0.202142i
\(268\) −3.25584 4.08270i −0.198882 0.249390i
\(269\) −11.2060 + 5.39654i −0.683244 + 0.329033i −0.743106 0.669174i \(-0.766648\pi\)
0.0598618 + 0.998207i \(0.480934\pi\)
\(270\) 2.35906 10.3357i 0.143568 0.629011i
\(271\) 1.19724 1.50129i 0.0727272 0.0911971i −0.744137 0.668027i \(-0.767139\pi\)
0.816864 + 0.576830i \(0.195710\pi\)
\(272\) 0.500606 2.19330i 0.0303537 0.132988i
\(273\) −5.32640 2.56506i −0.322369 0.155245i
\(274\) −9.69470 12.1568i −0.585678 0.734417i
\(275\) −2.43572 3.05430i −0.146880 0.184181i
\(276\) −0.706975 3.09746i −0.0425549 0.186445i
\(277\) −1.20888 0.582168i −0.0726348 0.0349791i 0.397214 0.917726i \(-0.369977\pi\)
−0.469849 + 0.882747i \(0.655691\pi\)
\(278\) 21.3244 10.2693i 1.27895 0.615911i
\(279\) −4.37425 19.1649i −0.261880 1.14737i
\(280\) −4.58054 20.0687i −0.273740 1.19933i
\(281\) −21.5059 + 10.3567i −1.28294 + 0.617830i −0.946143 0.323749i \(-0.895057\pi\)
−0.336793 + 0.941579i \(0.609342\pi\)
\(282\) −3.54110 1.70530i −0.210870 0.101549i
\(283\) 5.22571 + 22.8953i 0.310636 + 1.36099i 0.853468 + 0.521145i \(0.174495\pi\)
−0.542832 + 0.839841i \(0.682648\pi\)
\(284\) −4.31681 5.41311i −0.256156 0.321209i
\(285\) −7.49114 9.39359i −0.443737 0.556428i
\(286\) −7.59651 3.65828i −0.449191 0.216319i
\(287\) −4.30784 + 18.8739i −0.254284 + 1.11409i
\(288\) −5.81406 + 7.29061i −0.342597 + 0.429603i
\(289\) −0.222521 + 0.974928i −0.0130895 + 0.0573487i
\(290\) 0.918904 0.442521i 0.0539599 0.0259857i
\(291\) 7.27368 + 9.12091i 0.426391 + 0.534677i
\(292\) −9.37267 + 4.51364i −0.548494 + 0.264141i
\(293\) 8.84638 11.0930i 0.516811 0.648061i −0.453117 0.891451i \(-0.649688\pi\)
0.969928 + 0.243390i \(0.0782596\pi\)
\(294\) −0.474289 −0.0276611
\(295\) 23.1086 1.34543
\(296\) −12.5764 + 15.7703i −0.730988 + 0.916630i
\(297\) −5.88981 2.83638i −0.341761 0.164584i
\(298\) 0.818553 + 3.58632i 0.0474175 + 0.207750i
\(299\) −6.72556 + 29.4666i −0.388949 + 1.70410i
\(300\) −0.830177 −0.0479303
\(301\) −14.4832 + 7.90494i −0.834798 + 0.455633i
\(302\) 19.4424 1.11879
\(303\) 1.31276 5.75157i 0.0754161 0.330419i
\(304\) −3.69634 16.1947i −0.212000 0.928831i
\(305\) 16.7419 + 8.06249i 0.958640 + 0.461657i
\(306\) −1.89562 + 2.37703i −0.108365 + 0.135886i
\(307\) −18.9355 −1.08071 −0.540353 0.841438i \(-0.681709\pi\)
−0.540353 + 0.841438i \(0.681709\pi\)
\(308\) −3.14369 −0.179128
\(309\) −2.00148 + 2.50978i −0.113860 + 0.142776i
\(310\) 20.7638 9.99931i 1.17930 0.567922i
\(311\) 12.2433 + 15.3526i 0.694251 + 0.870564i 0.996579 0.0826402i \(-0.0263352\pi\)
−0.302328 + 0.953204i \(0.597764\pi\)
\(312\) −6.51801 + 3.13891i −0.369010 + 0.177706i
\(313\) 4.98291 21.8316i 0.281651 1.23399i −0.614025 0.789287i \(-0.710451\pi\)
0.895676 0.444707i \(-0.146692\pi\)
\(314\) 6.58829 8.26145i 0.371799 0.466221i
\(315\) −3.90478 + 17.1079i −0.220009 + 0.963923i
\(316\) −7.64161 3.68000i −0.429874 0.207016i
\(317\) −5.52175 6.92406i −0.310132 0.388894i 0.602199 0.798346i \(-0.294291\pi\)
−0.912332 + 0.409452i \(0.865720\pi\)
\(318\) 2.15535 + 2.70272i 0.120866 + 0.151561i
\(319\) −0.139944 0.613135i −0.00783537 0.0343290i
\(320\) −20.6200 9.93008i −1.15269 0.555109i
\(321\) 1.96489 0.946242i 0.109670 0.0528141i
\(322\) −5.10971 22.3871i −0.284753 1.24758i
\(323\) 1.64303 + 7.19860i 0.0914209 + 0.400541i
\(324\) 3.41963 1.64681i 0.189979 0.0914893i
\(325\) 7.11549 + 3.42664i 0.394696 + 0.190076i
\(326\) 1.13360 + 4.96663i 0.0627844 + 0.275076i
\(327\) −1.45556 1.82521i −0.0804925 0.100934i
\(328\) 14.7706 + 18.5218i 0.815572 + 1.02270i
\(329\) 12.5603 + 6.04870i 0.692470 + 0.333476i
\(330\) 0.795835 3.48678i 0.0438093 0.191941i
\(331\) 5.93428 7.44135i 0.326178 0.409014i −0.591522 0.806289i \(-0.701473\pi\)
0.917700 + 0.397275i \(0.130044\pi\)
\(332\) −0.488995 + 2.14243i −0.0268371 + 0.117581i
\(333\) 15.4923 7.46070i 0.848972 0.408844i
\(334\) 7.80955 + 9.79286i 0.427319 + 0.535842i
\(335\) −18.9852 + 9.14281i −1.03727 + 0.499525i
\(336\) 2.16164 2.71062i 0.117927 0.147876i
\(337\) 11.6240 0.633197 0.316599 0.948560i \(-0.397459\pi\)
0.316599 + 0.948560i \(0.397459\pi\)
\(338\) 1.98757 0.108110
\(339\) −2.00018 + 2.50814i −0.108635 + 0.136224i
\(340\) 1.57603 + 0.758976i 0.0854722 + 0.0411612i
\(341\) −3.16221 13.8546i −0.171243 0.750266i
\(342\) −4.99539 + 21.8862i −0.270120 + 1.18347i
\(343\) 19.2959 1.04188
\(344\) −3.48734 + 19.8879i −0.188025 + 1.07229i
\(345\) −12.8205 −0.690234
\(346\) −0.713088 + 3.12424i −0.0383359 + 0.167960i
\(347\) 0.764665 + 3.35022i 0.0410494 + 0.179849i 0.991297 0.131648i \(-0.0420268\pi\)
−0.950247 + 0.311497i \(0.899170\pi\)
\(348\) −0.120411 0.0579868i −0.00645470 0.00310842i
\(349\) −16.0802 + 20.1639i −0.860751 + 1.07935i 0.135321 + 0.990802i \(0.456793\pi\)
−0.996072 + 0.0885461i \(0.971778\pi\)
\(350\) −6.00015 −0.320722
\(351\) 13.2156 0.705398
\(352\) −4.20307 + 5.27049i −0.224025 + 0.280918i
\(353\) 6.19768 2.98465i 0.329869 0.158857i −0.261617 0.965172i \(-0.584256\pi\)
0.591486 + 0.806315i \(0.298541\pi\)
\(354\) 3.84707 + 4.82407i 0.204469 + 0.256396i
\(355\) −25.1719 + 12.1221i −1.33599 + 0.643377i
\(356\) −1.82105 + 7.97853i −0.0965153 + 0.422861i
\(357\) −0.960858 + 1.20488i −0.0508540 + 0.0637689i
\(358\) 6.50323 28.4925i 0.343706 1.50588i
\(359\) −10.4396 5.02744i −0.550980 0.265338i 0.137613 0.990486i \(-0.456057\pi\)
−0.688593 + 0.725148i \(0.741771\pi\)
\(360\) 13.3886 + 16.7888i 0.705642 + 0.884847i
\(361\) 22.1460 + 27.7702i 1.16558 + 1.46159i
\(362\) 2.56464 + 11.2364i 0.134795 + 0.590574i
\(363\) 4.08296 + 1.96625i 0.214300 + 0.103201i
\(364\) 5.72593 2.75746i 0.300120 0.144530i
\(365\) 9.34107 + 40.9259i 0.488934 + 2.14216i
\(366\) 1.10406 + 4.83721i 0.0577103 + 0.252845i
\(367\) −11.2887 + 5.43635i −0.589265 + 0.283775i −0.704661 0.709545i \(-0.748901\pi\)
0.115396 + 0.993320i \(0.463186\pi\)
\(368\) −15.9698 7.69063i −0.832481 0.400902i
\(369\) −4.49387 19.6889i −0.233941 1.02496i
\(370\) 12.5689 + 15.7610i 0.653428 + 0.819373i
\(371\) −7.64499 9.58652i −0.396908 0.497707i
\(372\) −2.72083 1.31028i −0.141069 0.0679351i
\(373\) 5.81087 25.4591i 0.300875 1.31822i −0.567934 0.823074i \(-0.692257\pi\)
0.868809 0.495147i \(-0.164886\pi\)
\(374\) −1.37037 + 1.71839i −0.0708603 + 0.0888560i
\(375\) 1.06499 4.66605i 0.0549961 0.240954i
\(376\) 15.3702 7.40191i 0.792658 0.381724i
\(377\) 0.792701 + 0.994016i 0.0408262 + 0.0511944i
\(378\) −9.04617 + 4.35641i −0.465285 + 0.224069i
\(379\) 0.693679 0.869846i 0.0356319 0.0446810i −0.763696 0.645576i \(-0.776617\pi\)
0.799328 + 0.600895i \(0.205189\pi\)
\(380\) 12.9161 0.662580
\(381\) −3.79792 −0.194573
\(382\) −9.37006 + 11.7497i −0.479414 + 0.601166i
\(383\) 26.3645 + 12.6965i 1.34716 + 0.648758i 0.961735 0.273980i \(-0.0883403\pi\)
0.385426 + 0.922739i \(0.374055\pi\)
\(384\) −0.391486 1.71521i −0.0199779 0.0875291i
\(385\) −2.82282 + 12.3676i −0.143864 + 0.630310i
\(386\) 25.4484 1.29529
\(387\) 10.0345 13.9851i 0.510081 0.710900i
\(388\) −12.5411 −0.636680
\(389\) 3.99997 17.5250i 0.202807 0.888554i −0.766411 0.642350i \(-0.777960\pi\)
0.969218 0.246204i \(-0.0791833\pi\)
\(390\) 1.60886 + 7.04889i 0.0814680 + 0.356934i
\(391\) 7.09861 + 3.41851i 0.358992 + 0.172881i
\(392\) 1.28355 1.60952i 0.0648292 0.0812933i
\(393\) 5.81282 0.293218
\(394\) 0.149906 0.00755217
\(395\) −21.3391 + 26.7584i −1.07369 + 1.34636i
\(396\) 2.95468 1.42290i 0.148478 0.0715034i
\(397\) −11.6352 14.5900i −0.583953 0.732253i 0.398829 0.917025i \(-0.369417\pi\)
−0.982781 + 0.184772i \(0.940845\pi\)
\(398\) −7.59379 + 3.65698i −0.380642 + 0.183308i
\(399\) −2.53207 + 11.0937i −0.126762 + 0.555382i
\(400\) −2.88772 + 3.62109i −0.144386 + 0.181054i
\(401\) −0.903856 + 3.96005i −0.0451364 + 0.197756i −0.992469 0.122496i \(-0.960910\pi\)
0.947333 + 0.320251i \(0.103767\pi\)
\(402\) −5.06924 2.44122i −0.252831 0.121757i
\(403\) 17.9121 + 22.4610i 0.892264 + 1.11886i
\(404\) 3.95417 + 4.95838i 0.196727 + 0.246688i
\(405\) −3.40810 14.9319i −0.169350 0.741971i
\(406\) −0.870276 0.419103i −0.0431911 0.0207997i
\(407\) 11.1996 5.39345i 0.555144 0.267343i
\(408\) 0.419645 + 1.83858i 0.0207755 + 0.0910235i
\(409\) 7.11757 + 31.1841i 0.351941 + 1.54196i 0.772693 + 0.634780i \(0.218909\pi\)
−0.420752 + 0.907176i \(0.638234\pi\)
\(410\) 21.3316 10.2727i 1.05349 0.507334i
\(411\) 7.40768 + 3.56735i 0.365394 + 0.175965i
\(412\) −0.767901 3.36439i −0.0378318 0.165752i
\(413\) −13.6455 17.1109i −0.671452 0.841974i
\(414\) 14.9353 + 18.7283i 0.734032 + 0.920447i
\(415\) 7.98943 + 3.84751i 0.392186 + 0.188867i
\(416\) 3.03253 13.2864i 0.148682 0.651418i
\(417\) −7.80305 + 9.78472i −0.382117 + 0.479160i
\(418\) −3.61124 + 15.8219i −0.176631 + 0.773873i
\(419\) 3.06449 1.47578i 0.149710 0.0720967i −0.357529 0.933902i \(-0.616381\pi\)
0.507239 + 0.861806i \(0.330666\pi\)
\(420\) 1.68079 + 2.10764i 0.0820142 + 0.102843i
\(421\) −25.0960 + 12.0856i −1.22310 + 0.589016i −0.930174 0.367118i \(-0.880344\pi\)
−0.292929 + 0.956134i \(0.594630\pi\)
\(422\) 12.1440 15.2281i 0.591162 0.741294i
\(423\) −14.5429 −0.707098
\(424\) −15.0048 −0.728696
\(425\) 1.28360 1.60958i 0.0622638 0.0780763i
\(426\) −6.72114 3.23673i −0.325640 0.156820i
\(427\) −3.91610 17.1576i −0.189513 0.830312i
\(428\) −0.521689 + 2.28567i −0.0252168 + 0.110482i
\(429\) 4.45833 0.215250
\(430\) 18.6023 + 7.82076i 0.897082 + 0.377150i
\(431\) 27.6826 1.33342 0.666712 0.745315i \(-0.267701\pi\)
0.666712 + 0.745315i \(0.267701\pi\)
\(432\) −1.72460 + 7.55598i −0.0829750 + 0.363537i
\(433\) −0.0219211 0.0960428i −0.00105346 0.00461552i 0.974398 0.224828i \(-0.0721820\pi\)
−0.975452 + 0.220213i \(0.929325\pi\)
\(434\) −19.6650 9.47015i −0.943949 0.454582i
\(435\) −0.336246 + 0.421639i −0.0161218 + 0.0202161i
\(436\) 2.50964 0.120190
\(437\) 58.1754 2.78290
\(438\) −6.98847 + 8.76327i −0.333922 + 0.418725i
\(439\) −0.313176 + 0.150817i −0.0149471 + 0.00719812i −0.441342 0.897339i \(-0.645498\pi\)
0.426395 + 0.904537i \(0.359783\pi\)
\(440\) 9.67883 + 12.1369i 0.461420 + 0.578603i
\(441\) −1.58115 + 0.761443i −0.0752929 + 0.0362592i
\(442\) 0.988728 4.33190i 0.0470290 0.206047i
\(443\) 10.2868 12.8993i 0.488743 0.612864i −0.474906 0.880037i \(-0.657518\pi\)
0.963649 + 0.267172i \(0.0860893\pi\)
\(444\) 0.587808 2.57536i 0.0278962 0.122221i
\(445\) 29.7531 + 14.3283i 1.41043 + 0.679229i
\(446\) −9.87501 12.3829i −0.467595 0.586346i
\(447\) −1.21276 1.52075i −0.0573614 0.0719289i
\(448\) 4.82323 + 21.1319i 0.227876 + 0.998390i
\(449\) −13.8607 6.67495i −0.654126 0.315010i 0.0772233 0.997014i \(-0.475395\pi\)
−0.731349 + 0.682004i \(0.761109\pi\)
\(450\) 5.63940 2.71579i 0.265844 0.128024i
\(451\) −3.24868 14.2334i −0.152974 0.670225i
\(452\) −0.767400 3.36220i −0.0360955 0.158145i
\(453\) −9.26251 + 4.46059i −0.435191 + 0.209577i
\(454\) −23.3500 11.2447i −1.09587 0.527742i
\(455\) −5.70663 25.0024i −0.267531 1.17213i
\(456\) 8.68193 + 10.8868i 0.406568 + 0.509821i
\(457\) −10.9061 13.6758i −0.510166 0.639728i 0.458323 0.888786i \(-0.348450\pi\)
−0.968489 + 0.249058i \(0.919879\pi\)
\(458\) 15.2819 + 7.35937i 0.714076 + 0.343881i
\(459\) 0.766592 3.35866i 0.0357814 0.156769i
\(460\) 8.59305 10.7753i 0.400653 0.502403i
\(461\) 1.83616 8.04476i 0.0855186 0.374682i −0.914000 0.405715i \(-0.867023\pi\)
0.999518 + 0.0310332i \(0.00987975\pi\)
\(462\) −3.05175 + 1.46965i −0.141980 + 0.0683741i
\(463\) −1.01945 1.27835i −0.0473778 0.0594099i 0.757578 0.652745i \(-0.226383\pi\)
−0.804956 + 0.593335i \(0.797811\pi\)
\(464\) −0.671770 + 0.323507i −0.0311861 + 0.0150185i
\(465\) −7.59790 + 9.52747i −0.352344 + 0.441826i
\(466\) −21.9732 −1.01789
\(467\) −13.0024 −0.601679 −0.300839 0.953675i \(-0.597267\pi\)
−0.300839 + 0.953675i \(0.597267\pi\)
\(468\) −4.13358 + 5.18334i −0.191075 + 0.239600i
\(469\) 17.9806 + 8.65898i 0.830265 + 0.399835i
\(470\) −3.79388 16.6221i −0.174999 0.766720i
\(471\) −1.24332 + 5.44733i −0.0572891 + 0.251000i
\(472\) −26.7819 −1.23274
\(473\) 7.25406 10.1100i 0.333542 0.464858i
\(474\) −9.13848 −0.419744
\(475\) 3.38257 14.8200i 0.155203 0.679989i
\(476\) −0.368649 1.61516i −0.0168970 0.0740305i
\(477\) 11.5244 + 5.54986i 0.527666 + 0.254110i
\(478\) 13.4140 16.8206i 0.613541 0.769357i
\(479\) −32.6585 −1.49221 −0.746103 0.665831i \(-0.768077\pi\)
−0.746103 + 0.665831i \(0.768077\pi\)
\(480\) 5.78072 0.263852
\(481\) −15.6682 + 19.6473i −0.714408 + 0.895839i
\(482\) −22.1287 + 10.6566i −1.00793 + 0.485395i
\(483\) 7.57046 + 9.49306i 0.344468 + 0.431949i
\(484\) −4.38921 + 2.11373i −0.199510 + 0.0960788i
\(485\) −11.2611 + 49.3380i −0.511339 + 2.24032i
\(486\) 10.0135 12.5565i 0.454220 0.569574i
\(487\) 3.18036 13.9341i 0.144116 0.631412i −0.850338 0.526237i \(-0.823602\pi\)
0.994454 0.105175i \(-0.0335404\pi\)
\(488\) −19.4032 9.34410i −0.878343 0.422988i
\(489\) −1.67953 2.10606i −0.0759508 0.0952393i
\(490\) −1.28279 1.60857i −0.0579507 0.0726679i
\(491\) −2.06473 9.04617i −0.0931800 0.408248i 0.906729 0.421713i \(-0.138571\pi\)
−0.999909 + 0.0134649i \(0.995714\pi\)
\(492\) −2.79523 1.34611i −0.126019 0.0606875i
\(493\) 0.298604 0.143800i 0.0134484 0.00647643i
\(494\) −7.30050 31.9856i −0.328465 1.43910i
\(495\) −2.94472 12.9017i −0.132355 0.579886i
\(496\) −15.1795 + 7.31005i −0.681579 + 0.328231i
\(497\) 23.8398 + 11.4807i 1.06936 + 0.514978i
\(498\) 0.526870 + 2.30837i 0.0236096 + 0.103441i
\(499\) −9.82025 12.3142i −0.439615 0.551260i 0.511827 0.859089i \(-0.328969\pi\)
−0.951442 + 0.307829i \(0.900398\pi\)
\(500\) 3.20788 + 4.02255i 0.143461 + 0.179894i
\(501\) −5.96725 2.87368i −0.266597 0.128386i
\(502\) −4.25401 + 18.6380i −0.189866 + 0.831856i
\(503\) 2.37077 2.97285i 0.105707 0.132553i −0.726164 0.687522i \(-0.758699\pi\)
0.831871 + 0.554969i \(0.187270\pi\)
\(504\) 4.52548 19.8274i 0.201581 0.883183i
\(505\) 23.0573 11.1038i 1.02604 0.494113i
\(506\) 10.7970 + 13.5390i 0.479984 + 0.601881i
\(507\) −0.946892 + 0.455999i −0.0420530 + 0.0202516i
\(508\) 2.54558 3.19206i 0.112942 0.141625i
\(509\) −37.9350 −1.68144 −0.840720 0.541470i \(-0.817868\pi\)
−0.840720 + 0.541470i \(0.817868\pi\)
\(510\) 1.88475 0.0834581
\(511\) 24.7881 31.0832i 1.09656 1.37504i
\(512\) 19.6831 + 9.47886i 0.869876 + 0.418910i
\(513\) −5.66030 24.7994i −0.249909 1.09492i
\(514\) −2.12998 + 9.33206i −0.0939494 + 0.411619i
\(515\) −13.9254 −0.613625
\(516\) −0.718586 2.54475i −0.0316340 0.112026i
\(517\) −10.5132 −0.462372
\(518\) 4.24842 18.6135i 0.186665 0.817832i
\(519\) −0.377061 1.65201i −0.0165511 0.0725152i
\(520\) −28.2748 13.6164i −1.23993 0.597120i
\(521\) 3.66782 4.59930i 0.160690 0.201499i −0.694968 0.719041i \(-0.744581\pi\)
0.855658 + 0.517542i \(0.173153\pi\)
\(522\) 1.00765 0.0441035
\(523\) −8.31806 −0.363723 −0.181862 0.983324i \(-0.558212\pi\)
−0.181862 + 0.983324i \(0.558212\pi\)
\(524\) −3.89609 + 4.88554i −0.170201 + 0.213426i
\(525\) 2.85851 1.37659i 0.124756 0.0600792i
\(526\) 18.4139 + 23.0902i 0.802882 + 1.00678i
\(527\) 6.74733 3.24934i 0.293918 0.141544i
\(528\) −0.581800 + 2.54903i −0.0253196 + 0.110932i
\(529\) 24.3637 30.5512i 1.05929 1.32831i
\(530\) −3.33690 + 14.6199i −0.144946 + 0.635048i
\(531\) 20.5698 + 9.90591i 0.892655 + 0.429880i
\(532\) −7.62688 9.56380i −0.330667 0.414644i
\(533\) 18.4019 + 23.0752i 0.797074 + 0.999499i
\(534\) 1.96210 + 8.59651i 0.0849082 + 0.372007i
\(535\) 8.52360 + 4.10475i 0.368507 + 0.177464i
\(536\) 22.0031 10.5961i 0.950390 0.457684i
\(537\) 3.43872 + 15.0660i 0.148392 + 0.650146i
\(538\) −3.20571 14.0451i −0.138208 0.605529i
\(539\) −1.14304 + 0.550458i −0.0492341 + 0.0237099i
\(540\) −5.42947 2.61470i −0.233647 0.112519i
\(541\) −1.20669 5.28685i −0.0518796 0.227299i 0.942341 0.334654i \(-0.108619\pi\)
−0.994221 + 0.107354i \(0.965762\pi\)
\(542\) 1.38673 + 1.73891i 0.0595653 + 0.0746925i
\(543\) −3.79973 4.76471i −0.163062 0.204473i
\(544\) −3.20073 1.54139i −0.137230 0.0660866i
\(545\) 2.25349 9.87318i 0.0965288 0.422921i
\(546\) 4.26938 5.35363i 0.182713 0.229114i
\(547\) −4.72019 + 20.6805i −0.201821 + 0.884235i 0.768006 + 0.640442i \(0.221249\pi\)
−0.969827 + 0.243793i \(0.921608\pi\)
\(548\) −7.96333 + 3.83494i −0.340176 + 0.163820i
\(549\) 11.4465 + 14.3535i 0.488525 + 0.612591i
\(550\) 4.07680 1.96328i 0.173835 0.0837147i
\(551\) 1.52578 1.91326i 0.0650002 0.0815077i
\(552\) 14.8585 0.632419
\(553\) 32.4141 1.37839
\(554\) 0.968982 1.21506i 0.0411681 0.0516232i
\(555\) −9.60389 4.62499i −0.407662 0.196320i
\(556\) −2.99377 13.1166i −0.126964 0.556266i
\(557\) 5.94305 26.0382i 0.251815 1.10327i −0.677946 0.735112i \(-0.737130\pi\)
0.929761 0.368163i \(-0.120013\pi\)
\(558\) 22.7690 0.963889
\(559\) −4.34467 + 24.7772i −0.183760 + 1.04796i
\(560\) 15.0397 0.635543
\(561\) 0.258612 1.13305i 0.0109186 0.0478375i
\(562\) −6.15220 26.9546i −0.259515 1.13701i
\(563\) −32.0072 15.4139i −1.34894 0.649617i −0.386801 0.922163i \(-0.626420\pi\)
−0.962143 + 0.272546i \(0.912134\pi\)
\(564\) −1.39296 + 1.74671i −0.0586541 + 0.0735499i
\(565\) −13.9163 −0.585463
\(566\) −27.2010 −1.14334
\(567\) −9.04395 + 11.3408i −0.379810 + 0.476267i
\(568\) 29.1732 14.0491i 1.22408 0.589486i
\(569\) 27.8996 + 34.9851i 1.16961 + 1.46665i 0.855907 + 0.517130i \(0.173000\pi\)
0.313707 + 0.949520i \(0.398429\pi\)
\(570\) 12.5383 6.03814i 0.525172 0.252910i
\(571\) 7.01440 30.7321i 0.293544 1.28610i −0.586012 0.810302i \(-0.699303\pi\)
0.879556 0.475796i \(-0.157840\pi\)
\(572\) −2.98823 + 3.74712i −0.124944 + 0.156675i
\(573\) 1.76828 7.74735i 0.0738711 0.323650i
\(574\) −20.2027 9.72911i −0.843245 0.406085i
\(575\) −10.1133 12.6817i −0.421754 0.528863i
\(576\) −14.0980 17.6783i −0.587415 0.736596i
\(577\) −0.470328 2.06064i −0.0195800 0.0857857i 0.964194 0.265198i \(-0.0854374\pi\)
−0.983774 + 0.179413i \(0.942580\pi\)
\(578\) −1.04357 0.502556i −0.0434067 0.0209036i
\(579\) −12.1238 + 5.83852i −0.503848 + 0.242641i
\(580\) −0.129006 0.565214i −0.00535670 0.0234692i
\(581\) −1.86881 8.18777i −0.0775311 0.339686i
\(582\) −12.1744 + 5.86286i −0.504643 + 0.243023i
\(583\) 8.33116 + 4.01207i 0.345041 + 0.166163i
\(584\) −10.8259 47.4315i −0.447980 1.96273i
\(585\) 16.6801 + 20.9162i 0.689637 + 0.864778i
\(586\) 10.2465 + 12.8487i 0.423280 + 0.530777i
\(587\) 15.3434 + 7.38902i 0.633292 + 0.304977i 0.722851 0.691004i \(-0.242831\pi\)
−0.0895588 + 0.995982i \(0.528546\pi\)
\(588\) −0.0599920 + 0.262842i −0.00247403 + 0.0108394i
\(589\) 34.4768 43.2325i 1.42059 1.78137i
\(590\) −5.95601 + 26.0950i −0.245205 + 1.07431i
\(591\) −0.0714164 + 0.0343923i −0.00293768 + 0.00141471i
\(592\) −9.18860 11.5221i −0.377649 0.473557i
\(593\) 16.8214 8.10077i 0.690773 0.332659i −0.0553499 0.998467i \(-0.517627\pi\)
0.746123 + 0.665808i \(0.231913\pi\)
\(594\) 4.72098 5.91992i 0.193704 0.242897i
\(595\) −6.68519 −0.274066
\(596\) 2.09101 0.0856511
\(597\) 2.77873 3.48441i 0.113726 0.142608i
\(598\) −31.5412 15.1895i −1.28982 0.621143i
\(599\) 5.77933 + 25.3209i 0.236137 + 1.03458i 0.944442 + 0.328677i \(0.106603\pi\)
−0.708305 + 0.705906i \(0.750540\pi\)
\(600\) 0.863937 3.78516i 0.0352701 0.154528i
\(601\) −39.7112 −1.61985 −0.809927 0.586530i \(-0.800494\pi\)
−0.809927 + 0.586530i \(0.800494\pi\)
\(602\) −5.19362 18.3923i −0.211676 0.749615i
\(603\) −20.8187 −0.847804
\(604\) 2.45924 10.7747i 0.100065 0.438414i
\(605\) 4.37442 + 19.1656i 0.177845 + 0.779191i
\(606\) 6.15652 + 2.96482i 0.250092 + 0.120438i
\(607\) −11.5252 + 14.4522i −0.467794 + 0.586595i −0.958629 0.284657i \(-0.908120\pi\)
0.490835 + 0.871252i \(0.336692\pi\)
\(608\) −26.2310 −1.06381
\(609\) 0.510758 0.0206970
\(610\) −13.4195 + 16.8275i −0.543340 + 0.681326i
\(611\) 19.1489 9.22160i 0.774680 0.373066i
\(612\) 1.07754 + 1.35119i 0.0435568 + 0.0546185i
\(613\) −37.9871 + 18.2936i −1.53428 + 0.738873i −0.994677 0.103044i \(-0.967142\pi\)
−0.539608 + 0.841916i \(0.681428\pi\)
\(614\) 4.88044 21.3826i 0.196958 0.862931i
\(615\) −7.80567 + 9.78800i −0.314755 + 0.394690i
\(616\) 3.27154 14.3335i 0.131814 0.577515i
\(617\) −0.872639 0.420241i −0.0351311 0.0169182i 0.416236 0.909257i \(-0.363349\pi\)
−0.451367 + 0.892338i \(0.649063\pi\)
\(618\) −2.31826 2.90701i −0.0932542 0.116937i
\(619\) 12.8638 + 16.1307i 0.517039 + 0.648347i 0.969977 0.243195i \(-0.0781956\pi\)
−0.452938 + 0.891542i \(0.649624\pi\)
\(620\) −2.91506 12.7717i −0.117072 0.512924i
\(621\) −24.4549 11.7769i −0.981342 0.472589i
\(622\) −20.4922 + 9.86852i −0.821662 + 0.395692i
\(623\) −6.95954 30.4918i −0.278828 1.22163i
\(624\) −1.17617 5.15313i −0.0470844 0.206290i
\(625\) 27.9798 13.4744i 1.11919 0.538975i
\(626\) 23.3686 + 11.2537i 0.933999 + 0.449790i
\(627\) −1.90952 8.36615i −0.0762589 0.334112i
\(628\) −3.74501 4.69609i −0.149442 0.187394i
\(629\) 4.08436 + 5.12163i 0.162854 + 0.204213i
\(630\) −18.3124 8.81881i −0.729585 0.351350i
\(631\) −6.88045 + 30.1452i −0.273907 + 1.20006i 0.631452 + 0.775415i \(0.282459\pi\)
−0.905359 + 0.424648i \(0.860398\pi\)
\(632\) 24.7312 31.0119i 0.983754 1.23359i
\(633\) −2.29178 + 10.0409i −0.0910900 + 0.399091i
\(634\) 9.24205 4.45074i 0.367049 0.176761i
\(635\) −10.2721 12.8808i −0.407636 0.511159i
\(636\) 1.77042 0.852591i 0.0702019 0.0338074i
\(637\) 1.59910 2.00521i 0.0633588 0.0794494i
\(638\) 0.728442 0.0288393
\(639\) −27.6028 −1.09195
\(640\) 4.75838 5.96682i 0.188092 0.235859i
\(641\) −20.0073 9.63502i −0.790242 0.380560i −0.00518682 0.999987i \(-0.501651\pi\)
−0.785055 + 0.619426i \(0.787365\pi\)
\(642\) 0.562096 + 2.46271i 0.0221842 + 0.0971952i
\(643\) −0.623150 + 2.73020i −0.0245746 + 0.107669i −0.985728 0.168347i \(-0.946157\pi\)
0.961153 + 0.276016i \(0.0890142\pi\)
\(644\) −13.0528 −0.514354
\(645\) −10.6565 + 0.541975i −0.419600 + 0.0213402i
\(646\) −8.55238 −0.336489
\(647\) −1.30140 + 5.70182i −0.0511635 + 0.224162i −0.994046 0.108965i \(-0.965246\pi\)
0.942882 + 0.333126i \(0.108104\pi\)
\(648\) 3.94985 + 17.3054i 0.155165 + 0.679822i
\(649\) 14.8702 + 7.16113i 0.583708 + 0.281099i
\(650\) −5.70342 + 7.15187i −0.223707 + 0.280519i
\(651\) 11.5412 0.452336
\(652\) 2.89581 0.113409
\(653\) −8.37648 + 10.5038i −0.327797 + 0.411044i −0.918233 0.396040i \(-0.870384\pi\)
0.590436 + 0.807084i \(0.298956\pi\)
\(654\) 2.43625 1.17323i 0.0952648 0.0458771i
\(655\) 15.7218 + 19.7145i 0.614300 + 0.770307i
\(656\) −15.5946 + 7.50994i −0.608865 + 0.293214i
\(657\) −9.22879 + 40.4340i −0.360049 + 1.57748i
\(658\) −10.0677 + 12.6245i −0.392479 + 0.492153i
\(659\) 4.68299 20.5175i 0.182423 0.799249i −0.798049 0.602592i \(-0.794135\pi\)
0.980472 0.196656i \(-0.0630083\pi\)
\(660\) −1.83165 0.882075i −0.0712968 0.0343347i
\(661\) 25.0828 + 31.4529i 0.975608 + 1.22337i 0.974733 + 0.223375i \(0.0717073\pi\)
0.000875790 1.00000i \(0.499721\pi\)
\(662\) 6.87352 + 8.61912i 0.267147 + 0.334992i
\(663\) 0.522811 + 2.29058i 0.0203043 + 0.0889589i
\(664\) −9.25943 4.45911i −0.359336 0.173047i
\(665\) −44.4733 + 21.4172i −1.72460 + 0.830524i
\(666\) 4.43188 + 19.4173i 0.171732 + 0.752406i
\(667\) −0.581058 2.54578i −0.0224987 0.0985731i
\(668\) 6.41485 3.08923i 0.248198 0.119526i
\(669\) 7.54546 + 3.63370i 0.291724 + 0.140487i
\(670\) −5.43111 23.7952i −0.209822 0.919290i
\(671\) 8.27485 + 10.3763i 0.319447 + 0.400574i
\(672\) −3.41349 4.28038i −0.131678 0.165119i
\(673\) −9.00323 4.33573i −0.347049 0.167130i 0.252236 0.967666i \(-0.418834\pi\)
−0.599285 + 0.800536i \(0.704548\pi\)
\(674\) −2.99596 + 13.1262i −0.115400 + 0.505601i
\(675\) −4.42204 + 5.54507i −0.170205 + 0.213430i
\(676\) 0.251405 1.10148i 0.00966942 0.0423645i
\(677\) −4.75603 + 2.29038i −0.182789 + 0.0880265i −0.523040 0.852308i \(-0.675202\pi\)
0.340251 + 0.940335i \(0.389488\pi\)
\(678\) −2.31675 2.90512i −0.0889744 0.111570i
\(679\) 43.1823 20.7955i 1.65719 0.798059i
\(680\) −5.10064 + 6.39600i −0.195601 + 0.245275i
\(681\) 13.7039 0.525135
\(682\) 16.4601 0.630288
\(683\) 15.0701 18.8973i 0.576641 0.723085i −0.404895 0.914363i \(-0.632692\pi\)
0.981536 + 0.191278i \(0.0612632\pi\)
\(684\) 11.4971 + 5.53671i 0.439602 + 0.211701i
\(685\) 7.93648 + 34.7720i 0.303237 + 1.32857i
\(686\) −4.97333 + 21.7896i −0.189883 + 0.831931i
\(687\) −8.96882 −0.342182
\(688\) −13.5993 5.71741i −0.518469 0.217974i
\(689\) −18.6935 −0.712168
\(690\) 3.30436 14.4774i 0.125795 0.551144i
\(691\) −0.626944 2.74682i −0.0238501 0.104494i 0.961602 0.274448i \(-0.0884952\pi\)
−0.985452 + 0.169954i \(0.945638\pi\)
\(692\) 1.64120 + 0.790361i 0.0623892 + 0.0300450i
\(693\) −7.81429 + 9.79881i −0.296840 + 0.372226i
\(694\) −3.98026 −0.151089
\(695\) −54.2900 −2.05934
\(696\) 0.389696 0.488663i 0.0147714 0.0185227i
\(697\) 6.93183 3.33819i 0.262562 0.126443i
\(698\) −18.6252 23.3553i −0.704975 0.884011i
\(699\) 10.4682 5.04122i 0.395944 0.190676i
\(700\) −0.758950 + 3.32518i −0.0286856 + 0.125680i
\(701\) 16.9702 21.2800i 0.640957 0.803734i −0.350165 0.936688i \(-0.613875\pi\)
0.991122 + 0.132953i \(0.0424461\pi\)
\(702\) −3.40620 + 14.9235i −0.128559 + 0.563252i
\(703\) 43.5793 + 20.9867i 1.64362 + 0.791528i
\(704\) −10.1916 12.7799i −0.384112 0.481661i
\(705\) 5.62096 + 7.04846i 0.211697 + 0.265460i
\(706\) 1.77297 + 7.76790i 0.0667267 + 0.292349i
\(707\) −21.8371 10.5162i −0.821270 0.395503i
\(708\) 3.16002 1.52179i 0.118761 0.0571922i
\(709\) 8.33197 + 36.5048i 0.312914 + 1.37096i 0.849709 + 0.527252i \(0.176778\pi\)
−0.536795 + 0.843713i \(0.680365\pi\)
\(710\) −7.20092 31.5493i −0.270246 1.18402i
\(711\) −30.4652 + 14.6713i −1.14254 + 0.550216i
\(712\) −34.4827 16.6060i −1.29229 0.622335i
\(713\) −13.1297 57.5251i −0.491712 2.15433i
\(714\) −1.11294 1.39558i −0.0416506 0.0522282i
\(715\) 12.0583 + 15.1206i 0.450954 + 0.565479i
\(716\) −14.9674 7.20794i −0.559360 0.269373i
\(717\) −2.53144 + 11.0910i −0.0945383 + 0.414199i
\(718\) 8.36785 10.4930i 0.312285 0.391594i
\(719\) 9.96045 43.6396i 0.371462 1.62748i −0.351215 0.936295i \(-0.614231\pi\)
0.722677 0.691186i \(-0.242912\pi\)
\(720\) −14.1354 + 6.80727i −0.526797 + 0.253692i
\(721\) 8.22286 + 10.3111i 0.306235 + 0.384007i
\(722\) −37.0670 + 17.8505i −1.37949 + 0.664328i
\(723\) 8.09735 10.1538i 0.301144 0.377622i
\(724\) 6.55143 0.243482
\(725\) −0.682317 −0.0253406
\(726\) −3.27270 + 4.10383i −0.121461 + 0.152307i
\(727\) 41.0733 + 19.7798i 1.52332 + 0.733594i 0.993427 0.114468i \(-0.0365164\pi\)
0.529897 + 0.848062i \(0.322231\pi\)
\(728\) 6.61375 + 28.9767i 0.245122 + 1.07395i
\(729\) 1.95861 8.58123i 0.0725411 0.317823i
\(730\) −48.6225 −1.79960
\(731\) 6.04494 + 2.54141i 0.223580 + 0.0939973i
\(732\) 2.82035 0.104243
\(733\) 6.50567 28.5032i 0.240293 1.05279i −0.700459 0.713693i \(-0.747021\pi\)
0.940751 0.339098i \(-0.110122\pi\)
\(734\) −3.22936 14.1487i −0.119198 0.522239i
\(735\) 0.980178 + 0.472029i 0.0361544 + 0.0174110i
\(736\) −17.4515 + 21.8834i −0.643270 + 0.806634i
\(737\) −15.0502 −0.554380
\(738\) 23.3916 0.861058
\(739\) 28.7608 36.0649i 1.05798 1.32667i 0.115171 0.993346i \(-0.463258\pi\)
0.942812 0.333324i \(-0.108170\pi\)
\(740\) 10.3243 4.97190i 0.379527 0.182771i
\(741\) 10.8163 + 13.5632i 0.397347 + 0.498257i
\(742\) 12.7958 6.16215i 0.469750 0.226220i
\(743\) −7.66870 + 33.5988i −0.281337 + 1.23262i 0.614743 + 0.788727i \(0.289260\pi\)
−0.896080 + 0.443892i \(0.853597\pi\)
\(744\) 8.80567 11.0420i 0.322831 0.404818i
\(745\) 1.87758 8.22623i 0.0687893 0.301386i
\(746\) 27.2516 + 13.1237i 0.997750 + 0.480491i
\(747\) 5.46240 + 6.84963i 0.199859 + 0.250615i
\(748\) 0.778967 + 0.976793i 0.0284818 + 0.0357151i
\(749\) −1.99375 8.73520i −0.0728501 0.319177i
\(750\) 4.99457 + 2.40526i 0.182376 + 0.0878275i
\(751\) −48.1837 + 23.2040i −1.75825 + 0.846728i −0.784160 + 0.620559i \(0.786906\pi\)
−0.974088 + 0.226169i \(0.927380\pi\)
\(752\) 2.77354 + 12.1517i 0.101141 + 0.443126i
\(753\) −2.24940 9.85525i −0.0819726 0.359145i
\(754\) −1.32679 + 0.638947i −0.0483187 + 0.0232691i
\(755\) −40.1803 19.3498i −1.46231 0.704211i
\(756\) 1.27001 + 5.56426i 0.0461897 + 0.202370i
\(757\) −11.1413 13.9708i −0.404939 0.507778i 0.536990 0.843588i \(-0.319561\pi\)
−0.941929 + 0.335811i \(0.890990\pi\)
\(758\) 0.803470