Properties

Label 770.2.bd.a.527.17
Level $770$
Weight $2$
Character 770.527
Analytic conductor $6.148$
Analytic rank $0$
Dimension $192$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.bd (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(48\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 527.17
Character \(\chi\) \(=\) 770.527
Dual form 770.2.bd.a.263.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.258819 - 0.965926i) q^{2} +(1.01597 + 0.272228i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(0.755631 + 2.10452i) q^{5} -1.05181i q^{6} +(-1.57788 + 2.12375i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-1.63999 - 0.946852i) q^{9} +O(q^{10})\) \(q+(-0.258819 - 0.965926i) q^{2} +(1.01597 + 0.272228i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(0.755631 + 2.10452i) q^{5} -1.05181i q^{6} +(-1.57788 + 2.12375i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-1.63999 - 0.946852i) q^{9} +(1.83724 - 1.27457i) q^{10} +(1.27594 + 3.06137i) q^{11} +(-1.01597 + 0.272228i) q^{12} +(-3.80412 - 3.80412i) q^{13} +(2.45977 + 0.974444i) q^{14} +(0.194787 + 2.34383i) q^{15} +(0.500000 - 0.866025i) q^{16} +(2.13709 + 0.572632i) q^{17} +(-0.490126 + 1.82918i) q^{18} +(-1.10162 + 1.90806i) q^{19} +(-1.70666 - 1.44476i) q^{20} +(-2.18121 + 1.72812i) q^{21} +(2.62682 - 2.02480i) q^{22} +(1.76287 + 6.57913i) q^{23} +(0.525903 + 0.910891i) q^{24} +(-3.85804 + 3.18049i) q^{25} +(-2.68992 + 4.65907i) q^{26} +(-3.63964 - 3.63964i) q^{27} +(0.304606 - 2.62816i) q^{28} -3.51700 q^{29} +(2.21355 - 0.794778i) q^{30} +(2.30011 + 3.98390i) q^{31} +(-0.965926 - 0.258819i) q^{32} +(0.462926 + 3.45760i) q^{33} -2.21248i q^{34} +(-5.66177 - 1.71591i) q^{35} +1.89370 q^{36} +(-6.65632 + 1.78356i) q^{37} +(2.12817 + 0.570241i) q^{38} +(-2.82927 - 4.90044i) q^{39} +(-0.953811 + 2.02244i) q^{40} +6.44737i q^{41} +(2.23377 + 1.65962i) q^{42} +(3.27026 + 3.27026i) q^{43} +(-2.63568 - 2.01325i) q^{44} +(0.753440 - 4.16688i) q^{45} +(5.89869 - 3.40561i) q^{46} +(0.121120 - 0.0324540i) q^{47} +(0.743740 - 0.743740i) q^{48} +(-2.02062 - 6.70202i) q^{49} +(4.07065 + 2.90341i) q^{50} +(2.01533 + 1.16355i) q^{51} +(5.19652 + 1.39240i) q^{52} +(1.88773 + 0.505816i) q^{53} +(-2.57361 + 4.45763i) q^{54} +(-5.47858 + 4.99851i) q^{55} +(-2.61744 + 0.385991i) q^{56} +(-1.63864 + 1.63864i) q^{57} +(0.910267 + 3.39716i) q^{58} +(-1.86866 + 1.07887i) q^{59} +(-1.34061 - 1.93242i) q^{60} +(3.54246 + 2.04524i) q^{61} +(3.25284 - 3.25284i) q^{62} +(4.59858 - 1.98892i) q^{63} +1.00000i q^{64} +(5.13135 - 10.8804i) q^{65} +(3.21997 - 1.34204i) q^{66} +(3.78627 - 14.1306i) q^{67} +(-2.13709 + 0.572632i) q^{68} +7.16408i q^{69} +(-0.192063 + 5.91296i) q^{70} +7.05264 q^{71} +(-0.490126 - 1.82918i) q^{72} +(-2.44097 + 9.10983i) q^{73} +(3.44556 + 5.96789i) q^{74} +(-4.78546 + 2.18101i) q^{75} -2.20324i q^{76} +(-8.51485 - 2.12068i) q^{77} +(-4.00120 + 4.00120i) q^{78} +(4.14156 - 7.17339i) q^{79} +(2.20039 + 0.397866i) q^{80} +(0.133610 + 0.231420i) q^{81} +(6.22769 - 1.66870i) q^{82} +(-1.34396 - 1.34396i) q^{83} +(1.02493 - 2.58720i) q^{84} +(0.409736 + 4.93026i) q^{85} +(2.31242 - 4.00524i) q^{86} +(-3.57316 - 0.957425i) q^{87} +(-1.26249 + 3.06694i) q^{88} +(3.00167 + 1.73302i) q^{89} +(-4.21990 + 0.350700i) q^{90} +(14.0814 - 2.07657i) q^{91} +(-4.81626 - 4.81626i) q^{92} +(1.25231 + 4.67367i) q^{93} +(-0.0626964 - 0.108593i) q^{94} +(-4.84798 - 0.876595i) q^{95} +(-0.910891 - 0.525903i) q^{96} +(10.8433 + 10.8433i) q^{97} +(-5.95068 + 3.68638i) q^{98} +(0.806124 - 6.22876i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q + 8 q^{5}+O(q^{10}) \) Copy content Toggle raw display \( 192 q + 8 q^{5} + 4 q^{11} + 16 q^{15} + 96 q^{16} + 24 q^{22} - 8 q^{23} + 24 q^{25} - 8 q^{26} - 16 q^{33} - 160 q^{36} - 40 q^{37} - 40 q^{42} + 32 q^{45} - 40 q^{47} + 40 q^{53} + 8 q^{55} + 16 q^{56} + 32 q^{58} - 48 q^{67} - 72 q^{70} + 32 q^{71} - 48 q^{75} - 72 q^{77} - 8 q^{80} + 64 q^{81} + 16 q^{82} - 12 q^{88} - 112 q^{91} - 16 q^{92} + 80 q^{93} - 64 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.258819 0.965926i −0.183013 0.683013i
\(3\) 1.01597 + 0.272228i 0.586569 + 0.157171i 0.539885 0.841739i \(-0.318468\pi\)
0.0466843 + 0.998910i \(0.485135\pi\)
\(4\) −0.866025 + 0.500000i −0.433013 + 0.250000i
\(5\) 0.755631 + 2.10452i 0.337929 + 0.941172i
\(6\) 1.05181i 0.429398i
\(7\) −1.57788 + 2.12375i −0.596381 + 0.802702i
\(8\) 0.707107 + 0.707107i 0.250000 + 0.250000i
\(9\) −1.63999 0.946852i −0.546665 0.315617i
\(10\) 1.83724 1.27457i 0.580987 0.403056i
\(11\) 1.27594 + 3.06137i 0.384711 + 0.923037i
\(12\) −1.01597 + 0.272228i −0.293284 + 0.0785853i
\(13\) −3.80412 3.80412i −1.05507 1.05507i −0.998392 0.0566802i \(-0.981948\pi\)
−0.0566802 0.998392i \(-0.518052\pi\)
\(14\) 2.45977 + 0.974444i 0.657401 + 0.260431i
\(15\) 0.194787 + 2.34383i 0.0502938 + 0.605174i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 2.13709 + 0.572632i 0.518321 + 0.138884i 0.508490 0.861068i \(-0.330204\pi\)
0.00983118 + 0.999952i \(0.496871\pi\)
\(18\) −0.490126 + 1.82918i −0.115524 + 0.431141i
\(19\) −1.10162 + 1.90806i −0.252729 + 0.437740i −0.964276 0.264899i \(-0.914661\pi\)
0.711547 + 0.702638i \(0.247995\pi\)
\(20\) −1.70666 1.44476i −0.381620 0.323057i
\(21\) −2.18121 + 1.72812i −0.475980 + 0.377106i
\(22\) 2.62682 2.02480i 0.560039 0.431690i
\(23\) 1.76287 + 6.57913i 0.367584 + 1.37184i 0.863883 + 0.503692i \(0.168025\pi\)
−0.496299 + 0.868152i \(0.665308\pi\)
\(24\) 0.525903 + 0.910891i 0.107350 + 0.185935i
\(25\) −3.85804 + 3.18049i −0.771609 + 0.636098i
\(26\) −2.68992 + 4.65907i −0.527536 + 0.913720i
\(27\) −3.63964 3.63964i −0.700449 0.700449i
\(28\) 0.304606 2.62816i 0.0575651 0.496675i
\(29\) −3.51700 −0.653091 −0.326545 0.945182i \(-0.605885\pi\)
−0.326545 + 0.945182i \(0.605885\pi\)
\(30\) 2.21355 0.794778i 0.404137 0.145106i
\(31\) 2.30011 + 3.98390i 0.413112 + 0.715530i 0.995228 0.0975750i \(-0.0311086\pi\)
−0.582117 + 0.813105i \(0.697775\pi\)
\(32\) −0.965926 0.258819i −0.170753 0.0457532i
\(33\) 0.462926 + 3.45760i 0.0805850 + 0.601890i
\(34\) 2.21248i 0.379437i
\(35\) −5.66177 1.71591i −0.957014 0.290041i
\(36\) 1.89370 0.315617
\(37\) −6.65632 + 1.78356i −1.09429 + 0.293215i −0.760438 0.649410i \(-0.775016\pi\)
−0.333854 + 0.942625i \(0.608349\pi\)
\(38\) 2.12817 + 0.570241i 0.345234 + 0.0925053i
\(39\) −2.82927 4.90044i −0.453046 0.784699i
\(40\) −0.953811 + 2.02244i −0.150811 + 0.319775i
\(41\) 6.44737i 1.00691i 0.864021 + 0.503455i \(0.167938\pi\)
−0.864021 + 0.503455i \(0.832062\pi\)
\(42\) 2.23377 + 1.65962i 0.344679 + 0.256085i
\(43\) 3.27026 + 3.27026i 0.498710 + 0.498710i 0.911036 0.412326i \(-0.135284\pi\)
−0.412326 + 0.911036i \(0.635284\pi\)
\(44\) −2.63568 2.01325i −0.397344 0.303509i
\(45\) 0.753440 4.16688i 0.112316 0.621162i
\(46\) 5.89869 3.40561i 0.869714 0.502130i
\(47\) 0.121120 0.0324540i 0.0176672 0.00473391i −0.249975 0.968252i \(-0.580422\pi\)
0.267642 + 0.963518i \(0.413756\pi\)
\(48\) 0.743740 0.743740i 0.107350 0.107350i
\(49\) −2.02062 6.70202i −0.288660 0.957432i
\(50\) 4.07065 + 2.90341i 0.575677 + 0.410604i
\(51\) 2.01533 + 1.16355i 0.282203 + 0.162930i
\(52\) 5.19652 + 1.39240i 0.720628 + 0.193092i
\(53\) 1.88773 + 0.505816i 0.259300 + 0.0694792i 0.386127 0.922446i \(-0.373813\pi\)
−0.126827 + 0.991925i \(0.540479\pi\)
\(54\) −2.57361 + 4.45763i −0.350225 + 0.606607i
\(55\) −5.47858 + 4.99851i −0.738732 + 0.674000i
\(56\) −2.61744 + 0.385991i −0.349771 + 0.0515802i
\(57\) −1.63864 + 1.63864i −0.217043 + 0.217043i
\(58\) 0.910267 + 3.39716i 0.119524 + 0.446069i
\(59\) −1.86866 + 1.07887i −0.243278 + 0.140457i −0.616683 0.787212i \(-0.711524\pi\)
0.373404 + 0.927669i \(0.378190\pi\)
\(60\) −1.34061 1.93242i −0.173071 0.249475i
\(61\) 3.54246 + 2.04524i 0.453566 + 0.261866i 0.709335 0.704871i \(-0.248995\pi\)
−0.255769 + 0.966738i \(0.582329\pi\)
\(62\) 3.25284 3.25284i 0.413112 0.413112i
\(63\) 4.59858 1.98892i 0.579367 0.250581i
\(64\) 1.00000i 0.125000i
\(65\) 5.13135 10.8804i 0.636465 1.34954i
\(66\) 3.21997 1.34204i 0.396351 0.165194i
\(67\) 3.78627 14.1306i 0.462567 1.72632i −0.202267 0.979330i \(-0.564831\pi\)
0.664833 0.746992i \(-0.268503\pi\)
\(68\) −2.13709 + 0.572632i −0.259161 + 0.0694419i
\(69\) 7.16408i 0.862454i
\(70\) −0.192063 + 5.91296i −0.0229559 + 0.706734i
\(71\) 7.05264 0.836995 0.418497 0.908218i \(-0.362557\pi\)
0.418497 + 0.908218i \(0.362557\pi\)
\(72\) −0.490126 1.82918i −0.0577620 0.215571i
\(73\) −2.44097 + 9.10983i −0.285694 + 1.06623i 0.662636 + 0.748941i \(0.269438\pi\)
−0.948331 + 0.317284i \(0.897229\pi\)
\(74\) 3.44556 + 5.96789i 0.400539 + 0.693753i
\(75\) −4.78546 + 2.18101i −0.552577 + 0.251841i
\(76\) 2.20324i 0.252729i
\(77\) −8.51485 2.12068i −0.970358 0.241674i
\(78\) −4.00120 + 4.00120i −0.453046 + 0.453046i
\(79\) 4.14156 7.17339i 0.465962 0.807069i −0.533283 0.845937i \(-0.679042\pi\)
0.999244 + 0.0388680i \(0.0123752\pi\)
\(80\) 2.20039 + 0.397866i 0.246011 + 0.0444828i
\(81\) 0.133610 + 0.231420i 0.0148456 + 0.0257133i
\(82\) 6.22769 1.66870i 0.687733 0.184277i
\(83\) −1.34396 1.34396i −0.147519 0.147519i 0.629490 0.777009i \(-0.283264\pi\)
−0.777009 + 0.629490i \(0.783264\pi\)
\(84\) 1.02493 2.58720i 0.111829 0.282287i
\(85\) 0.409736 + 4.93026i 0.0444421 + 0.534762i
\(86\) 2.31242 4.00524i 0.249355 0.431896i
\(87\) −3.57316 0.957425i −0.383083 0.102647i
\(88\) −1.26249 + 3.06694i −0.134582 + 0.326937i
\(89\) 3.00167 + 1.73302i 0.318177 + 0.183699i 0.650580 0.759438i \(-0.274526\pi\)
−0.332403 + 0.943138i \(0.607859\pi\)
\(90\) −4.21990 + 0.350700i −0.444817 + 0.0369671i
\(91\) 14.0814 2.07657i 1.47613 0.217683i
\(92\) −4.81626 4.81626i −0.502130 0.502130i
\(93\) 1.25231 + 4.67367i 0.129858 + 0.484637i
\(94\) −0.0626964 0.108593i −0.00646663 0.0112005i
\(95\) −4.84798 0.876595i −0.497393 0.0899367i
\(96\) −0.910891 0.525903i −0.0929674 0.0536748i
\(97\) 10.8433 + 10.8433i 1.10097 + 1.10097i 0.994293 + 0.106679i \(0.0340218\pi\)
0.106679 + 0.994293i \(0.465978\pi\)
\(98\) −5.95068 + 3.68638i −0.601110 + 0.372380i
\(99\) 0.806124 6.22876i 0.0810185 0.626013i
\(100\) 1.75092 4.68341i 0.175092 0.468341i
\(101\) 8.90529 5.14147i 0.886109 0.511595i 0.0134413 0.999910i \(-0.495721\pi\)
0.872668 + 0.488314i \(0.162388\pi\)
\(102\) 0.602298 2.24781i 0.0596364 0.222566i
\(103\) −1.64420 6.13622i −0.162007 0.604620i −0.998403 0.0564936i \(-0.982008\pi\)
0.836396 0.548126i \(-0.184659\pi\)
\(104\) 5.37984i 0.527536i
\(105\) −5.28506 3.28459i −0.515769 0.320544i
\(106\) 1.95432i 0.189821i
\(107\) −5.11253 19.0802i −0.494246 1.84455i −0.534210 0.845352i \(-0.679391\pi\)
0.0399635 0.999201i \(-0.487276\pi\)
\(108\) 4.97184 + 1.33220i 0.478416 + 0.128191i
\(109\) 9.52774 + 16.5025i 0.912592 + 1.58065i 0.810390 + 0.585891i \(0.199255\pi\)
0.102202 + 0.994764i \(0.467411\pi\)
\(110\) 6.24616 + 3.99819i 0.595548 + 0.381213i
\(111\) −7.24813 −0.687962
\(112\) 1.05028 + 2.42835i 0.0992424 + 0.229458i
\(113\) 12.0989 12.0989i 1.13817 1.13817i 0.149394 0.988778i \(-0.452268\pi\)
0.988778 0.149394i \(-0.0477324\pi\)
\(114\) 2.00691 + 1.15869i 0.187965 + 0.108521i
\(115\) −12.5139 + 8.68141i −1.16692 + 0.809545i
\(116\) 3.04581 1.75850i 0.282797 0.163273i
\(117\) 2.63680 + 9.84067i 0.243772 + 0.909770i
\(118\) 1.52575 + 1.52575i 0.140457 + 0.140457i
\(119\) −4.58819 + 3.63511i −0.420599 + 0.333230i
\(120\) −1.51960 + 1.79507i −0.138720 + 0.163867i
\(121\) −7.74395 + 7.81225i −0.703995 + 0.710205i
\(122\) 1.05870 3.95110i 0.0958498 0.357716i
\(123\) −1.75515 + 6.55032i −0.158257 + 0.590622i
\(124\) −3.98390 2.30011i −0.357765 0.206556i
\(125\) −9.60867 5.71607i −0.859426 0.511261i
\(126\) −3.11135 3.92712i −0.277181 0.349856i
\(127\) −12.4570 + 12.4570i −1.10538 + 1.10538i −0.111632 + 0.993750i \(0.535608\pi\)
−0.993750 + 0.111632i \(0.964392\pi\)
\(128\) 0.965926 0.258819i 0.0853766 0.0228766i
\(129\) 2.43222 + 4.21273i 0.214145 + 0.370910i
\(130\) −11.8377 2.14045i −1.03824 0.187730i
\(131\) 10.9336 + 6.31251i 0.955271 + 0.551526i 0.894714 0.446639i \(-0.147379\pi\)
0.0605569 + 0.998165i \(0.480712\pi\)
\(132\) −2.12970 2.76290i −0.185367 0.240480i
\(133\) −2.31403 5.35025i −0.200651 0.463926i
\(134\) −14.6290 −1.26376
\(135\) 4.90948 10.4099i 0.422541 0.895945i
\(136\) 1.10624 + 1.91606i 0.0948593 + 0.164301i
\(137\) 3.71127 13.8507i 0.317075 1.18334i −0.604966 0.796251i \(-0.706813\pi\)
0.922042 0.387091i \(-0.126520\pi\)
\(138\) 6.91997 1.85420i 0.589067 0.157840i
\(139\) 17.2812 1.46577 0.732884 0.680354i \(-0.238174\pi\)
0.732884 + 0.680354i \(0.238174\pi\)
\(140\) 5.76119 1.34487i 0.486910 0.113662i
\(141\) 0.131889 0.0111070
\(142\) −1.82536 6.81233i −0.153181 0.571678i
\(143\) 6.79197 16.4996i 0.567973 1.37977i
\(144\) −1.63999 + 0.946852i −0.136666 + 0.0789043i
\(145\) −2.65756 7.40161i −0.220698 0.614670i
\(146\) 9.43119 0.780531
\(147\) −0.228406 7.35910i −0.0188386 0.606968i
\(148\) 4.87276 4.87276i 0.400539 0.400539i
\(149\) −6.84503 + 11.8559i −0.560766 + 0.971276i 0.436663 + 0.899625i \(0.356160\pi\)
−0.997430 + 0.0716509i \(0.977173\pi\)
\(150\) 3.34526 + 4.05791i 0.273139 + 0.331327i
\(151\) −0.309026 + 0.178416i −0.0251482 + 0.0145193i −0.512521 0.858674i \(-0.671288\pi\)
0.487373 + 0.873194i \(0.337955\pi\)
\(152\) −2.12817 + 0.570241i −0.172617 + 0.0462526i
\(153\) −2.96262 2.96262i −0.239514 0.239514i
\(154\) 0.155388 + 8.77359i 0.0125215 + 0.706996i
\(155\) −6.64619 + 7.85100i −0.533835 + 0.630607i
\(156\) 4.90044 + 2.82927i 0.392350 + 0.226523i
\(157\) 1.99685 7.45236i 0.159366 0.594763i −0.839326 0.543629i \(-0.817050\pi\)
0.998692 0.0511337i \(-0.0162835\pi\)
\(158\) −8.00087 2.14383i −0.636515 0.170554i
\(159\) 1.78018 + 1.02779i 0.141177 + 0.0815087i
\(160\) −0.185193 2.22839i −0.0146408 0.176169i
\(161\) −16.7540 6.63715i −1.32040 0.523081i
\(162\) 0.188954 0.188954i 0.0148456 0.0148456i
\(163\) −4.22375 15.7632i −0.330829 1.23467i −0.908320 0.418275i \(-0.862635\pi\)
0.577491 0.816397i \(-0.304032\pi\)
\(164\) −3.22369 5.58359i −0.251728 0.436005i
\(165\) −6.92679 + 3.58691i −0.539250 + 0.279240i
\(166\) −0.950324 + 1.64601i −0.0737594 + 0.127755i
\(167\) −1.11990 + 1.11990i −0.0866605 + 0.0866605i −0.749108 0.662448i \(-0.769518\pi\)
0.662448 + 0.749108i \(0.269518\pi\)
\(168\) −2.76431 0.320386i −0.213271 0.0247183i
\(169\) 15.9426i 1.22636i
\(170\) 4.65622 1.67182i 0.357116 0.128223i
\(171\) 3.61330 2.08614i 0.276316 0.159531i
\(172\) −4.46726 1.19700i −0.340625 0.0912703i
\(173\) −22.3149 + 5.97925i −1.69657 + 0.454594i −0.972071 0.234685i \(-0.924594\pi\)
−0.724496 + 0.689279i \(0.757927\pi\)
\(174\) 3.69920i 0.280436i
\(175\) −0.667048 13.2119i −0.0504241 0.998728i
\(176\) 3.28919 + 0.425686i 0.247932 + 0.0320873i
\(177\) −2.19219 + 0.587396i −0.164775 + 0.0441514i
\(178\) 0.897076 3.34793i 0.0672387 0.250938i
\(179\) 5.14664 2.97142i 0.384678 0.222094i −0.295174 0.955444i \(-0.595377\pi\)
0.679852 + 0.733350i \(0.262044\pi\)
\(180\) 1.43094 + 3.98534i 0.106656 + 0.297050i
\(181\) 11.7076 0.870222 0.435111 0.900377i \(-0.356709\pi\)
0.435111 + 0.900377i \(0.356709\pi\)
\(182\) −5.65035 13.0641i −0.418832 0.968379i
\(183\) 3.04226 + 3.04226i 0.224890 + 0.224890i
\(184\) −3.40561 + 5.89869i −0.251065 + 0.434857i
\(185\) −8.78326 12.6607i −0.645758 0.930831i
\(186\) 4.19030 2.41927i 0.307247 0.177389i
\(187\) 0.973767 + 7.27307i 0.0712089 + 0.531860i
\(188\) −0.0886660 + 0.0886660i −0.00646663 + 0.00646663i
\(189\) 13.4726 1.98678i 0.979986 0.144517i
\(190\) 0.408025 + 4.90967i 0.0296012 + 0.356185i
\(191\) 0.755768 1.30903i 0.0546855 0.0947180i −0.837387 0.546611i \(-0.815918\pi\)
0.892072 + 0.451893i \(0.149251\pi\)
\(192\) −0.272228 + 1.01597i −0.0196463 + 0.0733211i
\(193\) 3.33303 12.4390i 0.239916 0.895380i −0.735954 0.677031i \(-0.763266\pi\)
0.975871 0.218349i \(-0.0700671\pi\)
\(194\) 7.66739 13.2803i 0.550486 0.953470i
\(195\) 8.17522 9.65720i 0.585439 0.691567i
\(196\) 5.10092 + 4.79381i 0.364351 + 0.342415i
\(197\) −3.78139 + 3.78139i −0.269413 + 0.269413i −0.828864 0.559451i \(-0.811012\pi\)
0.559451 + 0.828864i \(0.311012\pi\)
\(198\) −6.22516 + 0.833465i −0.442403 + 0.0592318i
\(199\) −16.2668 + 9.39164i −1.15312 + 0.665755i −0.949646 0.313324i \(-0.898557\pi\)
−0.203476 + 0.979080i \(0.565224\pi\)
\(200\) −4.97699 0.479103i −0.351927 0.0338777i
\(201\) 7.69345 13.3255i 0.542654 0.939905i
\(202\) −7.27114 7.27114i −0.511595 0.511595i
\(203\) 5.54939 7.46923i 0.389491 0.524237i
\(204\) −2.32710 −0.162930
\(205\) −13.5687 + 4.87184i −0.947676 + 0.340264i
\(206\) −5.50159 + 3.17634i −0.383314 + 0.221306i
\(207\) 3.33836 12.4589i 0.232032 0.865955i
\(208\) −5.19652 + 1.39240i −0.360314 + 0.0965458i
\(209\) −7.24688 0.937890i −0.501277 0.0648752i
\(210\) −1.80480 + 5.95509i −0.124543 + 0.410940i
\(211\) 15.9855i 1.10049i 0.835004 + 0.550244i \(0.185465\pi\)
−0.835004 + 0.550244i \(0.814535\pi\)
\(212\) −1.88773 + 0.505816i −0.129650 + 0.0347396i
\(213\) 7.16525 + 1.91992i 0.490955 + 0.131551i
\(214\) −17.1068 + 9.87664i −1.16940 + 0.675153i
\(215\) −4.41123 + 9.35345i −0.300843 + 0.637900i
\(216\) 5.14723i 0.350225i
\(217\) −12.0901 1.40125i −0.820729 0.0951232i
\(218\) 13.4743 13.4743i 0.912592 0.912592i
\(219\) −4.95990 + 8.59079i −0.335159 + 0.580512i
\(220\) 2.24533 7.06813i 0.151380 0.476533i
\(221\) −5.95139 10.3081i −0.400334 0.693399i
\(222\) 1.87596 + 7.00116i 0.125906 + 0.469887i
\(223\) 2.20492 2.20492i 0.147652 0.147652i −0.629416 0.777068i \(-0.716706\pi\)
0.777068 + 0.629416i \(0.216706\pi\)
\(224\) 2.07378 1.64300i 0.138560 0.109778i
\(225\) 9.33862 1.56299i 0.622575 0.104199i
\(226\) −14.8181 8.55524i −0.985686 0.569086i
\(227\) 22.4146 + 6.00597i 1.48771 + 0.398631i 0.908963 0.416877i \(-0.136875\pi\)
0.578747 + 0.815507i \(0.303542\pi\)
\(228\) 0.599783 2.23842i 0.0397216 0.148243i
\(229\) 7.11179 + 4.10599i 0.469960 + 0.271332i 0.716223 0.697871i \(-0.245869\pi\)
−0.246263 + 0.969203i \(0.579203\pi\)
\(230\) 11.6244 + 9.84055i 0.766492 + 0.648866i
\(231\) −8.07350 4.47252i −0.531198 0.294270i
\(232\) −2.48690 2.48690i −0.163273 0.163273i
\(233\) −9.48552 + 2.54164i −0.621417 + 0.166508i −0.555772 0.831335i \(-0.687577\pi\)
−0.0656452 + 0.997843i \(0.520911\pi\)
\(234\) 8.82290 5.09391i 0.576771 0.332999i
\(235\) 0.159822 + 0.230377i 0.0104257 + 0.0150281i
\(236\) 1.07887 1.86866i 0.0702284 0.121639i
\(237\) 6.16048 6.16048i 0.400166 0.400166i
\(238\) 4.69875 + 3.49102i 0.304575 + 0.226289i
\(239\) −14.3996 −0.931432 −0.465716 0.884934i \(-0.654203\pi\)
−0.465716 + 0.884934i \(0.654203\pi\)
\(240\) 2.12721 + 1.00322i 0.137311 + 0.0647579i
\(241\) 3.23895 1.87001i 0.208639 0.120458i −0.392040 0.919948i \(-0.628230\pi\)
0.600679 + 0.799490i \(0.294897\pi\)
\(242\) 9.55034 + 5.45812i 0.613919 + 0.350861i
\(243\) 4.06935 + 15.1870i 0.261049 + 0.974247i
\(244\) −4.09048 −0.261866
\(245\) 12.5777 9.31670i 0.803561 0.595222i
\(246\) 6.78139 0.432366
\(247\) 11.4492 3.06780i 0.728495 0.195200i
\(248\) −1.19062 + 4.44347i −0.0756047 + 0.282161i
\(249\) −0.999557 1.73128i −0.0633443 0.109716i
\(250\) −3.03439 + 10.7607i −0.191912 + 0.680566i
\(251\) −10.3685 −0.654456 −0.327228 0.944945i \(-0.606115\pi\)
−0.327228 + 0.944945i \(0.606115\pi\)
\(252\) −2.98803 + 4.02175i −0.188228 + 0.253346i
\(253\) −17.8918 + 13.7914i −1.12485 + 0.867057i
\(254\) 15.2567 + 8.80844i 0.957289 + 0.552691i
\(255\) −0.925875 + 5.12052i −0.0579805 + 0.320660i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −9.78329 + 2.62142i −0.610265 + 0.163520i −0.550698 0.834704i \(-0.685639\pi\)
−0.0595665 + 0.998224i \(0.518972\pi\)
\(258\) 3.43968 3.43968i 0.214145 0.214145i
\(259\) 6.71502 16.9506i 0.417251 1.05326i
\(260\) 0.996308 + 11.9884i 0.0617884 + 0.743486i
\(261\) 5.76786 + 3.33008i 0.357022 + 0.206127i
\(262\) 3.26759 12.1948i 0.201873 0.753399i
\(263\) 2.78755 10.4033i 0.171888 0.641493i −0.825173 0.564880i \(-0.808923\pi\)
0.997061 0.0766135i \(-0.0244108\pi\)
\(264\) −2.11755 + 2.77223i −0.130326 + 0.170619i
\(265\) 0.361927 + 4.35499i 0.0222330 + 0.267525i
\(266\) −4.56903 + 3.61992i −0.280145 + 0.221952i
\(267\) 2.57783 + 2.57783i 0.157760 + 0.157760i
\(268\) 3.78627 + 14.1306i 0.231283 + 0.863161i
\(269\) −11.2048 + 6.46911i −0.683170 + 0.394428i −0.801048 0.598600i \(-0.795724\pi\)
0.117878 + 0.993028i \(0.462391\pi\)
\(270\) −11.3259 2.04791i −0.689272 0.124632i
\(271\) 13.2594 + 7.65532i 0.805451 + 0.465027i 0.845374 0.534175i \(-0.179378\pi\)
−0.0399226 + 0.999203i \(0.512711\pi\)
\(272\) 1.56446 1.56446i 0.0948593 0.0948593i
\(273\) 14.8716 + 1.72363i 0.900067 + 0.104319i
\(274\) −14.3393 −0.866266
\(275\) −14.6593 7.75277i −0.883988 0.467510i
\(276\) −3.58204 6.20428i −0.215614 0.373454i
\(277\) 5.08020 + 1.36124i 0.305240 + 0.0817888i 0.408188 0.912898i \(-0.366161\pi\)
−0.102948 + 0.994687i \(0.532828\pi\)
\(278\) −4.47269 16.6923i −0.268254 1.00114i
\(279\) 8.71144i 0.521541i
\(280\) −2.79015 5.21681i −0.166743 0.311764i
\(281\) 16.2299i 0.968192i −0.875015 0.484096i \(-0.839148\pi\)
0.875015 0.484096i \(-0.160852\pi\)
\(282\) −0.0341353 0.127395i −0.00203273 0.00758625i
\(283\) 2.03970 7.61225i 0.121247 0.452501i −0.878431 0.477870i \(-0.841409\pi\)
0.999678 + 0.0253681i \(0.00807580\pi\)
\(284\) −6.10777 + 3.52632i −0.362429 + 0.209249i
\(285\) −4.68676 2.21035i −0.277620 0.130930i
\(286\) −17.6953 2.29012i −1.04635 0.135418i
\(287\) −13.6926 10.1732i −0.808249 0.600502i
\(288\) 1.33905 + 1.33905i 0.0789043 + 0.0789043i
\(289\) −10.4832 6.05246i −0.616657 0.356027i
\(290\) −6.46158 + 4.48268i −0.379437 + 0.263232i
\(291\) 8.06461 + 13.9683i 0.472756 + 0.818837i
\(292\) −2.44097 9.10983i −0.142847 0.533113i
\(293\) 12.5119 + 12.5119i 0.730956 + 0.730956i 0.970809 0.239853i \(-0.0770994\pi\)
−0.239853 + 0.970809i \(0.577099\pi\)
\(294\) −7.04923 + 2.12530i −0.411119 + 0.123950i
\(295\) −3.68252 3.11741i −0.214405 0.181502i
\(296\) −5.96789 3.44556i −0.346877 0.200269i
\(297\) 6.49831 15.7862i 0.377070 0.916011i
\(298\) 13.2236 + 3.54325i 0.766021 + 0.205255i
\(299\) 18.3216 31.7340i 1.05957 1.83522i
\(300\) 3.05383 4.28154i 0.176313 0.247195i
\(301\) −12.1053 + 1.78515i −0.697737 + 0.102894i
\(302\) 0.252319 + 0.252319i 0.0145193 + 0.0145193i
\(303\) 10.4471 2.79930i 0.600172 0.160816i
\(304\) 1.10162 + 1.90806i 0.0631823 + 0.109435i
\(305\) −1.62747 + 9.00065i −0.0931884 + 0.515376i
\(306\) −2.09489 + 3.62846i −0.119757 + 0.207425i
\(307\) 9.46479 9.46479i 0.540184 0.540184i −0.383399 0.923583i \(-0.625247\pi\)
0.923583 + 0.383399i \(0.125247\pi\)
\(308\) 8.43442 2.42086i 0.480596 0.137942i
\(309\) 6.68180i 0.380114i
\(310\) 9.30364 + 4.38774i 0.528411 + 0.249207i
\(311\) 4.95916 + 8.58951i 0.281208 + 0.487066i 0.971683 0.236290i \(-0.0759316\pi\)
−0.690475 + 0.723357i \(0.742598\pi\)
\(312\) 1.46454 5.46574i 0.0829132 0.309436i
\(313\) −1.78384 6.65737i −0.100828 0.376297i 0.897010 0.442010i \(-0.145734\pi\)
−0.997839 + 0.0657131i \(0.979068\pi\)
\(314\) −7.71525 −0.435397
\(315\) 7.66057 + 8.17493i 0.431624 + 0.460605i
\(316\) 8.28311i 0.465962i
\(317\) 5.33404 1.42925i 0.299589 0.0802747i −0.105893 0.994378i \(-0.533770\pi\)
0.405483 + 0.914103i \(0.367103\pi\)
\(318\) 0.532021 1.98553i 0.0298343 0.111343i
\(319\) −4.48749 10.7668i −0.251251 0.602827i
\(320\) −2.10452 + 0.755631i −0.117646 + 0.0422411i
\(321\) 20.7766i 1.15964i
\(322\) −2.07474 + 17.9010i −0.115621 + 0.997581i
\(323\) −3.44688 + 3.44688i −0.191790 + 0.191790i
\(324\) −0.231420 0.133610i −0.0128567 0.00742280i
\(325\) 26.7754 + 2.57750i 1.48523 + 0.142974i
\(326\) −14.1329 + 8.15965i −0.782751 + 0.451921i
\(327\) 5.18742 + 19.3597i 0.286865 + 1.07060i
\(328\) −4.55898 + 4.55898i −0.251728 + 0.251728i
\(329\) −0.122188 + 0.308437i −0.00673645 + 0.0170047i
\(330\) 5.25747 + 5.76241i 0.289414 + 0.317210i
\(331\) −12.2007 + 21.1323i −0.670612 + 1.16153i 0.307118 + 0.951671i \(0.400635\pi\)
−0.977731 + 0.209863i \(0.932698\pi\)
\(332\) 1.83588 + 0.491924i 0.100757 + 0.0269978i
\(333\) 12.6051 + 3.37752i 0.690755 + 0.185087i
\(334\) 1.37159 + 0.791890i 0.0750502 + 0.0433303i
\(335\) 32.5991 2.70919i 1.78108 0.148019i
\(336\) 0.405988 + 2.75304i 0.0221484 + 0.150191i
\(337\) −12.0473 + 12.0473i −0.656257 + 0.656257i −0.954492 0.298236i \(-0.903602\pi\)
0.298236 + 0.954492i \(0.403602\pi\)
\(338\) 15.3994 4.12626i 0.837617 0.224439i
\(339\) 15.5858 8.99846i 0.846504 0.488729i
\(340\) −2.81997 4.06486i −0.152934 0.220448i
\(341\) −9.26139 + 12.1247i −0.501533 + 0.656590i
\(342\) −2.95025 2.95025i −0.159531 0.159531i
\(343\) 17.4217 + 6.28367i 0.940683 + 0.339286i
\(344\) 4.62485i 0.249355i
\(345\) −15.0770 + 5.41341i −0.811718 + 0.291448i
\(346\) 11.5510 + 20.0070i 0.620987 + 1.07558i
\(347\) 22.3855 + 5.99818i 1.20172 + 0.321999i 0.803507 0.595295i \(-0.202965\pi\)
0.398210 + 0.917294i \(0.369631\pi\)
\(348\) 3.57316 0.957425i 0.191541 0.0513233i
\(349\) 17.8952 0.957906 0.478953 0.877841i \(-0.341016\pi\)
0.478953 + 0.877841i \(0.341016\pi\)
\(350\) −12.5891 + 4.06382i −0.672916 + 0.217220i
\(351\) 27.6912i 1.47805i
\(352\) −0.440124 3.28729i −0.0234587 0.175213i
\(353\) 16.7608 + 4.49103i 0.892086 + 0.239034i 0.675614 0.737255i \(-0.263878\pi\)
0.216471 + 0.976289i \(0.430545\pi\)
\(354\) 1.13476 + 1.96547i 0.0603119 + 0.104463i
\(355\) 5.32920 + 14.8425i 0.282844 + 0.787756i
\(356\) −3.46604 −0.183699
\(357\) −5.65103 + 2.44411i −0.299084 + 0.129356i
\(358\) −4.20222 4.20222i −0.222094 0.222094i
\(359\) 2.58275 4.47346i 0.136313 0.236100i −0.789786 0.613383i \(-0.789808\pi\)
0.926098 + 0.377283i \(0.123142\pi\)
\(360\) 3.47919 2.41367i 0.183369 0.127211i
\(361\) 7.07286 + 12.2506i 0.372256 + 0.644766i
\(362\) −3.03016 11.3087i −0.159262 0.594373i
\(363\) −9.99431 + 5.82887i −0.524565 + 0.305937i
\(364\) −11.1566 + 8.83907i −0.584764 + 0.463293i
\(365\) −21.0163 + 1.74659i −1.10005 + 0.0914207i
\(366\) 2.15120 3.72599i 0.112445 0.194760i
\(367\) −6.19199 + 23.1088i −0.323219 + 1.20627i 0.592871 + 0.805297i \(0.297994\pi\)
−0.916090 + 0.400972i \(0.868672\pi\)
\(368\) 6.57913 + 1.76287i 0.342961 + 0.0918961i
\(369\) 6.10471 10.5737i 0.317798 0.550443i
\(370\) −9.95600 + 11.7608i −0.517588 + 0.611415i
\(371\) −4.05283 + 3.21095i −0.210413 + 0.166704i
\(372\) −3.42136 3.42136i −0.177389 0.177389i
\(373\) −32.4724 + 8.70096i −1.68136 + 0.450519i −0.968137 0.250420i \(-0.919431\pi\)
−0.713221 + 0.700939i \(0.752765\pi\)
\(374\) 6.77322 2.82300i 0.350235 0.145974i
\(375\) −8.20602 8.42308i −0.423757 0.434966i
\(376\) 0.108593 + 0.0626964i 0.00560027 + 0.00323332i
\(377\) 13.3791 + 13.3791i 0.689058 + 0.689058i
\(378\) −5.40605 12.4993i −0.278057 0.642894i
\(379\) 25.4917i 1.30942i 0.755881 + 0.654710i \(0.227209\pi\)
−0.755881 + 0.654710i \(0.772791\pi\)
\(380\) 4.63677 1.66484i 0.237861 0.0854044i
\(381\) −16.0471 + 9.26478i −0.822116 + 0.474649i
\(382\) −1.46003 0.391214i −0.0747017 0.0200163i
\(383\) 1.10109 + 4.10933i 0.0562632 + 0.209977i 0.988335 0.152297i \(-0.0486671\pi\)
−0.932072 + 0.362274i \(0.882000\pi\)
\(384\) 1.05181 0.0536748
\(385\) −1.97107 19.5222i −0.100455 0.994942i
\(386\) −12.8778 −0.655464
\(387\) −2.26676 8.45966i −0.115226 0.430029i
\(388\) −14.8123 3.96893i −0.751978 0.201492i
\(389\) 10.8765 6.27953i 0.551459 0.318385i −0.198252 0.980151i \(-0.563526\pi\)
0.749710 + 0.661766i \(0.230193\pi\)
\(390\) −11.4440 5.39718i −0.579492 0.273297i
\(391\) 15.0697i 0.762107i
\(392\) 3.31025 6.16784i 0.167193 0.311523i
\(393\) 9.38972 + 9.38972i 0.473649 + 0.473649i
\(394\) 4.63124 + 2.67385i 0.233319 + 0.134707i
\(395\) 18.2261 + 3.29557i 0.917052 + 0.165818i
\(396\) 2.41625 + 5.79732i 0.121421 + 0.291326i
\(397\) −26.4559 + 7.08885i −1.32779 + 0.355779i −0.851889 0.523722i \(-0.824543\pi\)
−0.475896 + 0.879501i \(0.657876\pi\)
\(398\) 13.2818 + 13.2818i 0.665755 + 0.665755i
\(399\) −0.894488 6.06562i −0.0447804 0.303661i
\(400\) 0.825363 + 4.93141i 0.0412681 + 0.246570i
\(401\) −9.68586 + 16.7764i −0.483689 + 0.837773i −0.999825 0.0187334i \(-0.994037\pi\)
0.516136 + 0.856507i \(0.327370\pi\)
\(402\) −14.8626 3.98242i −0.741280 0.198625i
\(403\) 6.40536 23.9051i 0.319074 1.19080i
\(404\) −5.14147 + 8.90529i −0.255798 + 0.443055i
\(405\) −0.386069 + 0.456054i −0.0191839 + 0.0226615i
\(406\) −8.65101 3.42712i −0.429342 0.170085i
\(407\) −13.9532 18.1017i −0.691634 0.897270i
\(408\) 0.602298 + 2.24781i 0.0298182 + 0.111283i
\(409\) 16.2255 + 28.1034i 0.802299 + 1.38962i 0.918100 + 0.396350i \(0.129723\pi\)
−0.115801 + 0.993272i \(0.536943\pi\)
\(410\) 8.21766 + 11.8454i 0.405841 + 0.585002i
\(411\) 7.54106 13.0615i 0.371973 0.644276i
\(412\) 4.49203 + 4.49203i 0.221306 + 0.221306i
\(413\) 0.657260 5.67088i 0.0323416 0.279046i
\(414\) −12.8984 −0.633923
\(415\) 1.81286 3.84394i 0.0889897 0.188691i
\(416\) 2.68992 + 4.65907i 0.131884 + 0.228430i
\(417\) 17.5571 + 4.70441i 0.859774 + 0.230376i
\(418\) 0.969700 + 7.24270i 0.0474296 + 0.354252i
\(419\) 17.0307i 0.832005i 0.909363 + 0.416003i \(0.136569\pi\)
−0.909363 + 0.416003i \(0.863431\pi\)
\(420\) 6.21929 + 0.202013i 0.303470 + 0.00985723i
\(421\) 28.7332 1.40037 0.700184 0.713962i \(-0.253101\pi\)
0.700184 + 0.713962i \(0.253101\pi\)
\(422\) 15.4408 4.13735i 0.751647 0.201403i
\(423\) −0.229365 0.0614583i −0.0111521 0.00298820i
\(424\) 0.977162 + 1.69249i 0.0474552 + 0.0821948i
\(425\) −10.0662 + 4.58776i −0.488285 + 0.222539i
\(426\) 7.41802i 0.359404i
\(427\) −9.93315 + 4.29617i −0.480699 + 0.207906i
\(428\) 13.9677 + 13.9677i 0.675153 + 0.675153i
\(429\) 11.3921 14.9141i 0.550015 0.720061i
\(430\) 10.1765 + 1.84007i 0.490752 + 0.0887360i
\(431\) 8.78767 5.07356i 0.423287 0.244385i −0.273196 0.961959i \(-0.588081\pi\)
0.696483 + 0.717574i \(0.254747\pi\)
\(432\) −4.97184 + 1.33220i −0.239208 + 0.0640955i
\(433\) −21.1975 + 21.1975i −1.01869 + 1.01869i −0.0188656 + 0.999822i \(0.506005\pi\)
−0.999822 + 0.0188656i \(0.993995\pi\)
\(434\) 1.77564 + 12.0408i 0.0852335 + 0.577977i
\(435\) −0.685066 8.24325i −0.0328464 0.395234i
\(436\) −16.5025 9.52774i −0.790327 0.456296i
\(437\) −14.4954 3.88403i −0.693410 0.185799i
\(438\) 9.58178 + 2.56743i 0.457835 + 0.122677i
\(439\) 9.55325 16.5467i 0.455952 0.789732i −0.542790 0.839868i \(-0.682632\pi\)
0.998742 + 0.0501363i \(0.0159656\pi\)
\(440\) −7.40843 0.339458i −0.353183 0.0161830i
\(441\) −3.03202 + 12.9045i −0.144382 + 0.614500i
\(442\) −8.41654 + 8.41654i −0.400334 + 0.400334i
\(443\) −9.73893 36.3462i −0.462711 1.72686i −0.664370 0.747404i \(-0.731300\pi\)
0.201660 0.979456i \(-0.435367\pi\)
\(444\) 6.27707 3.62407i 0.297896 0.171991i
\(445\) −1.37902 + 7.62662i −0.0653717 + 0.361536i
\(446\) −2.70046 1.55911i −0.127871 0.0738261i
\(447\) −10.1818 + 10.1818i −0.481584 + 0.481584i
\(448\) −2.12375 1.57788i −0.100338 0.0745476i
\(449\) 0.0874576i 0.00412738i 0.999998 + 0.00206369i \(0.000656893\pi\)
−0.999998 + 0.00206369i \(0.999343\pi\)
\(450\) −3.92675 8.61588i −0.185109 0.406157i
\(451\) −19.7378 + 8.22647i −0.929416 + 0.387369i
\(452\) −4.42852 + 16.5275i −0.208300 + 0.777386i
\(453\) −0.362530 + 0.0971396i −0.0170331 + 0.00456402i
\(454\) 23.2053i 1.08908i
\(455\) 15.0105 + 28.0656i 0.703705 + 1.31573i
\(456\) −2.31738 −0.108521
\(457\) 3.52768 + 13.1655i 0.165018 + 0.615855i 0.998038 + 0.0626122i \(0.0199431\pi\)
−0.833020 + 0.553243i \(0.813390\pi\)
\(458\) 2.12542 7.93217i 0.0993143 0.370646i
\(459\) −5.69407 9.86242i −0.265777 0.460339i
\(460\) 6.49662 13.7752i 0.302906 0.642274i
\(461\) 9.63849i 0.448909i −0.974485 0.224455i \(-0.927940\pi\)
0.974485 0.224455i \(-0.0720601\pi\)
\(462\) −2.23054 + 8.95598i −0.103774 + 0.416670i
\(463\) −10.4172 + 10.4172i −0.484130 + 0.484130i −0.906448 0.422318i \(-0.861217\pi\)
0.422318 + 0.906448i \(0.361217\pi\)
\(464\) −1.75850 + 3.04581i −0.0816363 + 0.141398i
\(465\) −8.88957 + 6.16708i −0.412244 + 0.285991i
\(466\) 4.91007 + 8.50448i 0.227454 + 0.393963i
\(467\) 36.9835 9.90971i 1.71139 0.458567i 0.735628 0.677385i \(-0.236887\pi\)
0.975765 + 0.218819i \(0.0702204\pi\)
\(468\) −7.20387 7.20387i −0.332999 0.332999i
\(469\) 24.0355 + 30.3373i 1.10986 + 1.40085i
\(470\) 0.181162 0.214002i 0.00835637 0.00987120i
\(471\) 4.05747 7.02775i 0.186958 0.323822i
\(472\) −2.08422 0.558464i −0.0959338 0.0257054i
\(473\) −5.83881 + 14.1841i −0.268469 + 0.652187i
\(474\) −7.54501 4.35612i −0.346554 0.200083i
\(475\) −1.81847 10.8651i −0.0834372 0.498524i
\(476\) 2.15594 5.44219i 0.0988173 0.249442i
\(477\) −2.61694 2.61694i −0.119821 0.119821i
\(478\) 3.72689 + 13.9089i 0.170464 + 0.636180i
\(479\) 16.3890 + 28.3866i 0.748833 + 1.29702i 0.948383 + 0.317129i \(0.102719\pi\)
−0.199550 + 0.979888i \(0.563948\pi\)
\(480\) 0.418478 2.31438i 0.0191008 0.105637i
\(481\) 32.1063 + 18.5366i 1.46392 + 0.845195i
\(482\) −2.64459 2.64459i −0.120458 0.120458i
\(483\) −15.2147 11.3040i −0.692293 0.514351i
\(484\) 2.80033 10.6376i 0.127288 0.483526i
\(485\) −14.6265 + 31.0136i −0.664154 + 1.40825i
\(486\) 13.6163 7.86138i 0.617648 0.356599i
\(487\) −3.18311 + 11.8795i −0.144240 + 0.538312i 0.855548 + 0.517724i \(0.173221\pi\)
−0.999788 + 0.0205882i \(0.993446\pi\)
\(488\) 1.05870 + 3.95110i 0.0479249 + 0.178858i
\(489\) 17.1647i 0.776217i
\(490\) −12.2546 9.73781i −0.553606 0.439909i
\(491\) 29.0698i 1.31190i −0.754803 0.655951i \(-0.772268\pi\)
0.754803 0.655951i \(-0.227732\pi\)
\(492\) −1.75515 6.55032i −0.0791284 0.295311i
\(493\) −7.51616 2.01395i −0.338511 0.0907037i
\(494\) −5.92654 10.2651i −0.266648 0.461847i
\(495\) 13.7177 3.01014i 0.616565 0.135296i
\(496\) 4.60022 0.206556
\(497\) −11.1282 + 14.9780i −0.499168 + 0.671857i
\(498\) −1.41359 + 1.41359i −0.0633443 + 0.0633443i
\(499\) 4.16265 + 2.40331i 0.186346 + 0.107587i 0.590271 0.807205i \(-0.299021\pi\)
−0.403925 + 0.914792i \(0.632354\pi\)
\(500\) 11.1794 + 0.145922i 0.499957 + 0.00652585i
\(501\) −1.44265 + 0.832915i −0.0644529 + 0.0372119i
\(502\) 2.68358 + 10.0152i 0.119774 + 0.447002i
\(503\) −13.0863 13.0863i −0.583488 0.583488i 0.352372 0.935860i \(-0.385375\pi\)
−0.935860 + 0.352372i \(0.885375\pi\)
\(504\) 4.65807 + 1.84531i 0.207487 + 0.0821965i
\(505\) 17.5495 + 14.8563i 0.780941 + 0.661098i
\(506\) 17.9522 + 13.7127i 0.798073 + 0.609604i
\(507\) −4.34002 + 16.1972i −0.192747 + 0.719342i
\(508\) 4.55959 17.0166i 0.202299 0.754990i
\(509\) −9.95354 5.74668i −0.441183 0.254717i 0.262916 0.964819i \(-0.415316\pi\)
−0.704099 + 0.710102i \(0.748649\pi\)
\(510\) 5.18568 0.430963i 0.229626 0.0190834i
\(511\) −15.4954 19.5582i −0.685478 0.865204i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) 10.9542 2.93516i 0.483638 0.129590i
\(514\) 5.06420 + 8.77146i 0.223372 + 0.386892i
\(515\) 11.6714 8.09697i 0.514304 0.356795i
\(516\) −4.21273 2.43222i −0.185455 0.107073i
\(517\) 0.253896 + 0.329384i 0.0111663 + 0.0144863i
\(518\) −18.1110 2.09908i −0.795751 0.0922282i
\(519\) −24.2989 −1.06660
\(520\) 11.3220 4.06517i 0.496502 0.178270i
\(521\) −11.4675 19.8623i −0.502400 0.870182i −0.999996 0.00277317i \(-0.999117\pi\)
0.497596 0.867409i \(-0.334216\pi\)
\(522\) 1.72378 6.43322i 0.0754476 0.281574i
\(523\) 6.22196 1.66717i 0.272067 0.0729002i −0.120206 0.992749i \(-0.538355\pi\)
0.392273 + 0.919849i \(0.371689\pi\)
\(524\) −12.6250 −0.551526
\(525\) 2.91895 13.6045i 0.127394 0.593748i
\(526\) −10.7703 −0.469606
\(527\) 2.63423 + 9.83109i 0.114749 + 0.428249i
\(528\) 3.22583 + 1.32789i 0.140386 + 0.0577891i
\(529\) −20.2587 + 11.6963i −0.880812 + 0.508537i
\(530\) 4.11292 1.47675i 0.178654 0.0641459i
\(531\) 4.08612 0.177322
\(532\) 4.67913 + 3.47644i 0.202866 + 0.150723i
\(533\) 24.5266 24.5266i 1.06236 1.06236i
\(534\) 1.82280 3.15718i 0.0788802 0.136625i
\(535\) 36.2916 25.1770i 1.56902 1.08850i
\(536\) 12.6691 7.31451i 0.547222 0.315939i
\(537\) 6.03772 1.61780i 0.260547 0.0698133i
\(538\) 9.14870 + 9.14870i 0.394428 + 0.394428i
\(539\) 17.9392 14.7372i 0.772695 0.634778i
\(540\) 0.953230 + 11.4700i 0.0410205 + 0.493591i
\(541\) −25.1344 14.5114i −1.08061 0.623893i −0.149552 0.988754i \(-0.547783\pi\)
−0.931062 + 0.364861i \(0.881116\pi\)
\(542\) 3.96268 14.7889i 0.170212 0.635239i
\(543\) 11.8946 + 3.18714i 0.510445 + 0.136773i
\(544\) −1.91606 1.10624i −0.0821506 0.0474297i
\(545\) −27.5305 + 32.5212i −1.17928 + 1.39305i
\(546\) −2.18415 14.8109i −0.0934728 0.633849i
\(547\) 20.4524 20.4524i 0.874483 0.874483i −0.118474 0.992957i \(-0.537800\pi\)
0.992957 + 0.118474i \(0.0378003\pi\)
\(548\) 3.71127 + 13.8507i 0.158538 + 0.591671i
\(549\) −3.87308 6.70837i −0.165299 0.286306i
\(550\) −3.69450 + 16.1663i −0.157534 + 0.689335i
\(551\) 3.87440 6.71066i 0.165055 0.285884i
\(552\) −5.06577 + 5.06577i −0.215614 + 0.215614i
\(553\) 8.69961 + 20.1143i 0.369945 + 0.855349i
\(554\) 5.25941i 0.223451i
\(555\) −5.47692 15.2539i −0.232482 0.647491i
\(556\) −14.9659 + 8.64058i −0.634696 + 0.366442i
\(557\) −35.3772 9.47930i −1.49898 0.401651i −0.586223 0.810150i \(-0.699386\pi\)
−0.912759 + 0.408499i \(0.866052\pi\)
\(558\) −8.41461 + 2.25469i −0.356219 + 0.0954485i
\(559\) 24.8809i 1.05235i
\(560\) −4.31690 + 4.04529i −0.182422 + 0.170945i
\(561\) −0.990616 + 7.65429i −0.0418238 + 0.323164i
\(562\) −15.6768 + 4.20060i −0.661288 + 0.177191i
\(563\) 1.48295 5.53445i 0.0624990 0.233249i −0.927610 0.373550i \(-0.878140\pi\)
0.990109 + 0.140301i \(0.0448070\pi\)
\(564\) −0.114219 + 0.0659444i −0.00480949 + 0.00277676i
\(565\) 34.6048 + 16.3202i 1.45584 + 0.686595i
\(566\) −7.88078 −0.331254
\(567\) −0.702298 0.0813970i −0.0294938 0.00341835i
\(568\) 4.98697 + 4.98697i 0.209249 + 0.209249i
\(569\) 16.2500 28.1458i 0.681235 1.17993i −0.293369 0.955999i \(-0.594777\pi\)
0.974604 0.223934i \(-0.0718901\pi\)
\(570\) −0.922008 + 5.09914i −0.0386187 + 0.213579i
\(571\) 9.33476 5.38943i 0.390648 0.225541i −0.291793 0.956481i \(-0.594252\pi\)
0.682441 + 0.730941i \(0.260919\pi\)
\(572\) 2.36780 + 17.6851i 0.0990025 + 0.739451i
\(573\) 1.12419 1.12419i 0.0469637 0.0469637i
\(574\) −6.28261 + 15.8590i −0.262231 + 0.661944i
\(575\) −27.7261 19.7758i −1.15626 0.824707i
\(576\) 0.946852 1.63999i 0.0394521 0.0683331i
\(577\) 6.37192 23.7803i 0.265267 0.989989i −0.696820 0.717246i \(-0.745403\pi\)
0.962087 0.272743i \(-0.0879308\pi\)
\(578\) −3.13299 + 11.6925i −0.130315 + 0.486342i
\(579\) 6.77249 11.7303i 0.281455 0.487494i
\(580\) 6.00232 + 5.08121i 0.249233 + 0.210986i
\(581\) 4.97484 0.733632i 0.206391 0.0304362i
\(582\) 11.4051 11.4051i 0.472756 0.472756i
\(583\) 0.860146 + 6.42444i 0.0356236 + 0.266073i
\(584\) −8.16765 + 4.71560i −0.337980 + 0.195133i
\(585\) −18.7175 + 12.9851i −0.773872 + 0.536869i
\(586\) 8.84728 15.3239i 0.365478 0.633026i
\(587\) 0.627651 + 0.627651i 0.0259059 + 0.0259059i 0.719941 0.694035i \(-0.244169\pi\)
−0.694035 + 0.719941i \(0.744169\pi\)
\(588\) 3.87736 + 6.25897i 0.159899 + 0.258115i
\(589\) −10.1354 −0.417621
\(590\) −2.05808 + 4.36389i −0.0847296 + 0.179658i
\(591\) −4.87117 + 2.81237i −0.200373 + 0.115686i
\(592\) −1.78356 + 6.65632i −0.0733037 + 0.273573i
\(593\) −12.5926 + 3.37419i −0.517118 + 0.138561i −0.507933 0.861396i \(-0.669590\pi\)
−0.00918475 + 0.999958i \(0.502924\pi\)
\(594\) −16.9302 2.19111i −0.694656 0.0899021i
\(595\) −11.1171 6.90916i −0.455759 0.283248i
\(596\) 13.6901i 0.560766i
\(597\) −19.0832 + 5.11332i −0.781023 + 0.209274i
\(598\) −35.3946 9.48397i −1.44739 0.387828i
\(599\) 0.462332 0.266927i 0.0188904 0.0109064i −0.490525 0.871427i \(-0.663195\pi\)
0.509415 + 0.860521i \(0.329862\pi\)
\(600\) −4.92604 1.84163i −0.201105 0.0751841i
\(601\) 22.8160i 0.930685i −0.885131 0.465342i \(-0.845931\pi\)
0.885131 0.465342i \(-0.154069\pi\)
\(602\) 4.85740 + 11.2308i 0.197973 + 0.457732i
\(603\) −19.5890 + 19.5890i −0.797726 + 0.797726i
\(604\) 0.178416 0.309026i 0.00725965 0.0125741i
\(605\) −22.2926 10.3941i −0.906325 0.422582i
\(606\) −5.40783 9.36664i −0.219678 0.380494i
\(607\) −12.1914 45.4990i −0.494835 1.84675i −0.530953 0.847401i \(-0.678166\pi\)
0.0361184 0.999348i \(-0.488501\pi\)
\(608\) 1.55793 1.55793i 0.0631823 0.0631823i
\(609\) 7.67133 6.07779i 0.310858 0.246285i
\(610\) 9.11518 0.757529i 0.369063 0.0306714i
\(611\) −0.584214 0.337296i −0.0236348 0.0136455i
\(612\) 4.04702 + 1.08440i 0.163591 + 0.0438341i
\(613\) −3.54457 + 13.2285i −0.143164 + 0.534295i 0.856666 + 0.515871i \(0.172531\pi\)
−0.999830 + 0.0184239i \(0.994135\pi\)
\(614\) −11.5919 6.69261i −0.467813 0.270092i
\(615\) −15.1116 + 1.25587i −0.609357 + 0.0506414i
\(616\) −4.52136 7.52046i −0.182171 0.303008i
\(617\) −9.94405 9.94405i −0.400332 0.400332i 0.478018 0.878350i \(-0.341355\pi\)
−0.878350 + 0.478018i \(0.841355\pi\)
\(618\) −6.45412 + 1.72938i −0.259623 + 0.0695657i
\(619\) 10.2510 5.91841i 0.412022 0.237881i −0.279636 0.960106i \(-0.590214\pi\)
0.691658 + 0.722225i \(0.256881\pi\)
\(620\) 1.83027 10.1223i 0.0735054 0.406520i
\(621\) 17.5294 30.3619i 0.703433 1.21838i
\(622\) 7.01330 7.01330i 0.281208 0.281208i
\(623\) −8.41676 + 3.64032i −0.337210 + 0.145846i
\(624\) −5.65855 −0.226523
\(625\) 4.76898 24.5409i 0.190759 0.981637i
\(626\) −5.96884 + 3.44611i −0.238563 + 0.137734i
\(627\) −7.10728 2.92567i −0.283837 0.116840i
\(628\) 1.99685 + 7.45236i 0.0796831 + 0.297381i
\(629\) −15.2465 −0.607917
\(630\) 5.91368 9.51537i 0.235607 0.379101i
\(631\) −19.2594 −0.766705 −0.383352 0.923602i \(-0.625230\pi\)
−0.383352 + 0.923602i \(0.625230\pi\)
\(632\) 8.00087 2.14383i 0.318258 0.0852769i
\(633\) −4.35170 + 16.2407i −0.172964 + 0.645512i
\(634\) −2.76110 4.78237i −0.109657 0.189932i
\(635\) −35.6290 16.8032i −1.41389 0.666814i
\(636\) −2.05557 −0.0815087
\(637\) −17.8086 + 33.1820i −0.705603 + 1.31472i
\(638\) −9.23852 + 7.12124i −0.365756 + 0.281933i
\(639\) −11.5663 6.67781i −0.457556 0.264170i
\(640\) 1.27457 + 1.83724i 0.0503820 + 0.0726234i
\(641\) 0.193431 + 0.335033i 0.00764007 + 0.0132330i 0.869820 0.493369i \(-0.164235\pi\)
−0.862180 + 0.506602i \(0.830901\pi\)
\(642\) −20.0687 + 5.37739i −0.792048 + 0.212229i
\(643\) −3.03951 + 3.03951i −0.119867 + 0.119867i −0.764496 0.644629i \(-0.777012\pi\)
0.644629 + 0.764496i \(0.277012\pi\)
\(644\) 17.8280 2.62907i 0.702521 0.103600i
\(645\) −7.02793 + 8.30194i −0.276725 + 0.326889i
\(646\) 4.22155 + 2.43731i 0.166095 + 0.0958948i
\(647\) −11.6188 + 43.3621i −0.456784 + 1.70474i 0.226008 + 0.974126i \(0.427433\pi\)
−0.682791 + 0.730614i \(0.739234\pi\)
\(648\) −0.0691618 + 0.258115i −0.00271693 + 0.0101397i
\(649\) −5.68711 4.34407i −0.223239 0.170520i
\(650\) −4.44032 26.5302i −0.174163 1.04060i
\(651\) −11.9017 4.71488i −0.466464 0.184791i
\(652\) 11.5395 + 11.5395i 0.451921 + 0.451921i
\(653\) −9.52690 35.5549i −0.372816 1.39137i −0.856509 0.516132i \(-0.827371\pi\)
0.483693 0.875238i \(-0.339295\pi\)
\(654\) 17.3575 10.0213i 0.678730 0.391865i
\(655\) −5.02306 + 27.7799i −0.196267 + 1.08545i
\(656\) 5.58359 + 3.22369i 0.218003 + 0.125864i
\(657\) 12.6288 12.6288i 0.492698 0.492698i
\(658\) 0.329552 + 0.0381953i 0.0128473 + 0.00148901i
\(659\) −19.7901 −0.770913 −0.385457 0.922726i \(-0.625956\pi\)
−0.385457 + 0.922726i \(0.625956\pi\)
\(660\) 4.20532 6.56975i 0.163692 0.255727i
\(661\) −13.7584 23.8302i −0.535138 0.926886i −0.999157 0.0410607i \(-0.986926\pi\)
0.464019 0.885825i \(-0.346407\pi\)
\(662\) 23.5700 + 6.31556i 0.916073 + 0.245461i
\(663\) −3.24027 12.0928i −0.125841 0.469647i
\(664\) 1.90065i 0.0737594i
\(665\) 9.51118 8.91274i 0.368828 0.345621i
\(666\) 13.0498i 0.505668i
\(667\) −6.20003 23.1388i −0.240066 0.895938i
\(668\) 0.409912 1.52981i 0.0158600 0.0591902i
\(669\) 2.84036 1.63988i 0.109815 0.0634016i
\(670\) −11.0542 30.7871i −0.427059 1.18941i
\(671\) −1.74126 + 13.4544i −0.0672207 + 0.519401i
\(672\) 2.55416 1.10469i 0.0985288 0.0426145i
\(673\) −3.14585 3.14585i −0.121263 0.121263i 0.643871 0.765134i \(-0.277327\pi\)
−0.765134 + 0.643871i \(0.777327\pi\)
\(674\) 14.7548 + 8.51871i 0.568335 + 0.328128i
\(675\) 25.6177 + 2.46605i 0.986027 + 0.0949184i
\(676\) −7.97132 13.8067i −0.306589 0.531028i
\(677\) 11.2976 + 42.1634i 0.434204 + 1.62047i 0.742964 + 0.669331i \(0.233419\pi\)
−0.308760 + 0.951140i \(0.599914\pi\)
\(678\) −12.7257 12.7257i −0.488729 0.488729i
\(679\) −40.1379 + 5.91908i −1.54035 + 0.227154i
\(680\) −3.19649 + 3.77595i −0.122580 + 0.144801i
\(681\) 21.1375 + 12.2037i 0.809991 + 0.467649i
\(682\) 14.1086 + 5.80772i 0.540246 + 0.222389i
\(683\) 7.67944 + 2.05770i 0.293846 + 0.0787357i 0.402730 0.915319i \(-0.368061\pi\)
−0.108885 + 0.994054i \(0.534728\pi\)
\(684\) −2.08614 + 3.61330i −0.0797656 + 0.138158i
\(685\) 31.9534 2.65553i 1.22088 0.101463i
\(686\) 1.56049 18.4544i 0.0595799 0.704592i
\(687\) 6.10758 + 6.10758i 0.233019 + 0.233019i
\(688\) 4.46726 1.19700i 0.170313 0.0456351i
\(689\) −5.25697 9.10534i −0.200275 0.346886i
\(690\) 9.13116 + 13.1622i 0.347617 + 0.501075i
\(691\) 4.11804 7.13265i 0.156658 0.271339i −0.777004 0.629496i \(-0.783261\pi\)
0.933661 + 0.358157i \(0.116595\pi\)
\(692\) 16.3356 16.3356i 0.620987 0.620987i
\(693\) 11.9563 + 11.5402i 0.454184 + 0.438376i
\(694\) 23.1752i 0.879719i
\(695\) 13.0582 + 36.3686i 0.495325 + 1.37954i
\(696\) −1.84960 3.20360i −0.0701090 0.121432i
\(697\) −3.69197 + 13.7786i −0.139843 + 0.521903i
\(698\) −4.63161 17.2854i −0.175309 0.654262i
\(699\) −10.3289 −0.390674
\(700\) 7.18364 + 11.1083i 0.271516 + 0.419856i
\(701\) 12.8320i 0.484659i −0.970194 0.242330i \(-0.922088\pi\)
0.970194 0.242330i \(-0.0779115\pi\)
\(702\) 26.7477 7.16702i 1.00953 0.270502i
\(703\) 3.92960 14.6655i 0.148208 0.553119i
\(704\) −3.06137 + 1.27594i −0.115380 + 0.0480888i
\(705\) 0.0996594 + 0.277563i 0.00375339 + 0.0104536i
\(706\) 17.3520i 0.653052i
\(707\) −3.13224 + 27.0252i −0.117800 + 1.01639i
\(708\) 1.60480 1.60480i 0.0603119 0.0603119i
\(709\) −25.5471 14.7496i −0.959440 0.553933i −0.0634392 0.997986i \(-0.520207\pi\)
−0.896001 + 0.444053i \(0.853540\pi\)
\(710\) 12.9574 8.98912i 0.486283 0.337356i
\(711\) −13.5843 + 7.84288i −0.509450 + 0.294131i
\(712\) 0.897076 + 3.34793i 0.0336193 + 0.125469i
\(713\) −22.1558 + 22.1558i −0.829742 + 0.829742i
\(714\) 3.82343 + 4.82589i 0.143088 + 0.180604i
\(715\) 39.8561 + 1.82623i 1.49053 + 0.0682971i
\(716\) −2.97142 + 5.14664i −0.111047 + 0.192339i
\(717\) −14.6295 3.91996i −0.546349 0.146394i
\(718\) −4.98950 1.33693i −0.186206 0.0498939i
\(719\) 11.0626 + 6.38697i 0.412564 + 0.238194i 0.691891 0.722002i \(-0.256778\pi\)
−0.279327 + 0.960196i \(0.590111\pi\)
\(720\) −3.23190 2.73594i −0.120446 0.101962i
\(721\) 15.6261 + 6.19034i 0.581948 + 0.230540i
\(722\) 10.0025 10.0025i 0.372256 0.372256i
\(723\) 3.79973 1.01814i 0.141314 0.0378649i
\(724\) −10.1391 + 5.85382i −0.376817 + 0.217555i
\(725\) 13.5687 11.1858i 0.503930 0.415429i
\(726\) 8.21698 + 8.14513i 0.304961 + 0.302294i
\(727\) 25.0778 + 25.0778i 0.930084 + 0.930084i 0.997711 0.0676266i \(-0.0215427\pi\)
−0.0676266 + 0.997711i \(0.521543\pi\)
\(728\) 11.4254 + 8.48871i 0.423454 + 0.314613i
\(729\) 15.7356i 0.582801i
\(730\) 7.12651 + 19.8482i 0.263764 + 0.734614i
\(731\) 5.11619 + 8.86151i 0.189229 + 0.327755i
\(732\) −4.15580 1.11354i −0.153603 0.0411577i
\(733\) −11.6733 + 3.12785i −0.431163 + 0.115530i −0.467872 0.883796i \(-0.654979\pi\)
0.0367090 + 0.999326i \(0.488313\pi\)
\(734\) 23.9240 0.883051
\(735\) 15.3148 6.04145i 0.564895 0.222842i
\(736\) 6.81122i 0.251065i
\(737\) 48.0899 6.43859i 1.77141 0.237169i
\(738\) −11.7934 3.16003i −0.434121 0.116322i
\(739\) −1.51839 2.62994i −0.0558551 0.0967438i 0.836746 0.547591i \(-0.184455\pi\)
−0.892601 + 0.450848i \(0.851122\pi\)
\(740\) 13.9369 + 6.57284i 0.512329 + 0.241622i
\(741\) 12.4671 0.457992
\(742\) 4.15049 + 3.08368i 0.152369 + 0.113205i
\(743\) 12.1445 + 12.1445i 0.445538 + 0.445538i 0.893868 0.448330i \(-0.147981\pi\)
−0.448330 + 0.893868i \(0.647981\pi\)
\(744\) −2.41927 + 4.19030i −0.0886947 + 0.153624i
\(745\) −30.1234 5.44681i −1.10364 0.199556i
\(746\) 16.8090 + 29.1140i 0.615420 + 1.06594i
\(747\) 0.931557 + 3.47662i 0.0340839 + 0.127203i
\(748\) −4.47984 5.81178i −0.163799 0.212500i
\(749\) 48.5885 + 19.2485i 1.77538 + 0.703324i
\(750\) −6.01220 + 10.1065i −0.219534 + 0.369036i
\(751\) 22.6922 39.3040i 0.828050 1.43422i −0.0715157 0.997439i \(-0.522784\pi\)
0.899566 0.436785i \(-0.143883\pi\)
\(752\) 0.0324540 0.121120i 0.00118348 0.00441679i
\(753\) −10.5341 2.82260i −0.383884 0.102861i
\(754\) 9.46044 16.3860i 0.344529 0.596742i
\(755\) −0.608991 0.515536i −0.0221635 0.0187623i
\(756\) −10.6742 + 8.45689i −0.388217 + 0.307574i
\(757\) 31.2328 + 31.2328i 1.13518 + 1.13518i 0.989303 + 0.145874i \(0.0465993\pi\)
0.145874 + 0.989303i \(0.453401\pi\)
\(758\) 24.6231 6.59773i 0.894350 0.239640i
\(759\) −21.9319 + 9.14095i −0.796077 + 0.331795i
\(760\) −2.80820 4.04789i −0.101864 0.146832i
\(761\) −27.5191 15.8882i −0.997566 0.575945i −0.0900391 0.995938i \(-0.528699\pi\)
−0.907527 + 0.419993i \(0.862033\pi\)
\(762\) 13.1024 + 13.1024i 0.474649 + 0.474649i
\(763\) −50.0808 5.80441i −1.81305 0.210134i
\(764\) 1.51154i 0.0546855i
\(765\) 3.99626 8.47356i 0.144485 0.306362i
\(766\) 3.68433 2.12715i 0.133120 0.0768569i
\(767\) 11.2127 + 3.00444i 0.404869 + 0.108484i
\(768\) −0.272228 1.01597i −0.00982317 0.0366606i
\(769\) 28.5878 1.03090 0.515452 0.856919i \(-0.327624\pi\)
0.515452 + 0.856919i \(0.327624\pi\)
\(770\) −18.3468 + 6.95662i −0.661173 + 0.250699i
\(771\) −10.6531 −0.383663
\(772\) 3.33303 + 12.4390i 0.119958 + 0.447690i
\(773\) −30.9780 8.30053i −1.11420 0.298549i −0.345667 0.938357i \(-0.612347\pi\)
−0.768535 +