Properties

Label 76.2.f.a.27.2
Level $76$
Weight $2$
Character 76.27
Analytic conductor $0.607$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 76.f (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.606863055362\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(8\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \(x^{16} - 3 x^{15} + 6 x^{14} - 9 x^{13} + 12 x^{12} - 9 x^{11} + 3 x^{10} + 6 x^{9} - 10 x^{8} + 12 x^{7} + 12 x^{6} - 72 x^{5} + 192 x^{4} - 288 x^{3} + 384 x^{2} - 384 x + 256\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 27.2
Root \(-0.112075 - 1.40977i\) of defining polynomial
Character \(\chi\) \(=\) 76.27
Dual form 76.2.f.a.31.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.16486 + 0.801943i) q^{2} +(0.305055 - 0.528371i) q^{3} +(0.713775 - 1.86829i) q^{4} +(1.59295 - 2.75907i) q^{5} +(0.0683782 + 0.860112i) q^{6} +2.36291i q^{7} +(0.666820 + 2.74870i) q^{8} +(1.31388 + 2.27571i) q^{9} +O(q^{10})\) \(q+(-1.16486 + 0.801943i) q^{2} +(0.305055 - 0.528371i) q^{3} +(0.713775 - 1.86829i) q^{4} +(1.59295 - 2.75907i) q^{5} +(0.0683782 + 0.860112i) q^{6} +2.36291i q^{7} +(0.666820 + 2.74870i) q^{8} +(1.31388 + 2.27571i) q^{9} +(0.357061 + 4.49138i) q^{10} -5.46750i q^{11} +(-0.769412 - 0.947071i) q^{12} +(-2.31924 + 1.33901i) q^{13} +(-1.89492 - 2.75245i) q^{14} +(-0.971875 - 1.68334i) q^{15} +(-2.98105 - 2.66709i) q^{16} +(-0.552780 + 0.957443i) q^{17} +(-3.35547 - 1.59722i) q^{18} +(-1.37952 + 4.13484i) q^{19} +(-4.01775 - 4.94546i) q^{20} +(1.24849 + 0.720818i) q^{21} +(4.38462 + 6.36885i) q^{22} +(-2.46168 + 1.42125i) q^{23} +(1.65575 + 0.486176i) q^{24} +(-2.57499 - 4.46001i) q^{25} +(1.62777 - 3.41965i) q^{26} +3.43356 q^{27} +(4.41462 + 1.68659i) q^{28} +(-5.63736 + 3.25473i) q^{29} +(2.48203 + 1.18146i) q^{30} -1.01504 q^{31} +(5.61134 + 0.716137i) q^{32} +(-2.88887 - 1.66789i) q^{33} +(-0.123906 - 1.55858i) q^{34} +(6.51945 + 3.76400i) q^{35} +(5.18952 - 0.830373i) q^{36} +0.450315i q^{37} +(-1.70896 - 5.92279i) q^{38} +1.63389i q^{39} +(8.64607 + 2.53874i) q^{40} +(0.336089 + 0.194041i) q^{41} +(-2.03237 + 0.161572i) q^{42} +(4.96197 + 2.86479i) q^{43} +(-10.2149 - 3.90257i) q^{44} +8.37180 q^{45} +(1.72774 - 3.62968i) q^{46} +(-2.91563 + 1.68334i) q^{47} +(-2.31859 + 0.761492i) q^{48} +1.41665 q^{49} +(6.57616 + 3.13027i) q^{50} +(0.337257 + 0.584146i) q^{51} +(0.846255 + 5.28878i) q^{52} +(-3.53036 + 2.03825i) q^{53} +(-3.99960 + 2.75352i) q^{54} +(-15.0852 - 8.70946i) q^{55} +(-6.49494 + 1.57564i) q^{56} +(1.76390 + 1.99025i) q^{57} +(3.95660 - 8.31213i) q^{58} +(6.82450 - 11.8204i) q^{59} +(-3.83867 + 0.614225i) q^{60} +(-6.77885 - 11.7413i) q^{61} +(1.18237 - 0.814002i) q^{62} +(-5.37731 + 3.10459i) q^{63} +(-7.11070 + 3.66578i) q^{64} +8.53193i q^{65} +(4.70267 - 0.373858i) q^{66} +(4.27064 + 7.39696i) q^{67} +(1.39422 + 1.71616i) q^{68} +1.73424i q^{69} +(-10.6127 + 0.843703i) q^{70} +(-1.07447 + 1.86103i) q^{71} +(-5.37912 + 5.12896i) q^{72} +(3.91944 - 6.78867i) q^{73} +(-0.361127 - 0.524552i) q^{74} -3.14205 q^{75} +(6.74043 + 5.52870i) q^{76} +12.9192 q^{77} +(-1.31029 - 1.90325i) q^{78} +(5.57208 - 9.65112i) q^{79} +(-12.1073 + 3.97639i) q^{80} +(-2.89422 + 5.01294i) q^{81} +(-0.547104 + 0.0434943i) q^{82} -4.14868i q^{83} +(2.23785 - 1.81805i) q^{84} +(1.76110 + 3.05032i) q^{85} +(-8.07738 + 0.642145i) q^{86} +3.97149i q^{87} +(15.0285 - 3.64584i) q^{88} +(4.19126 - 2.41982i) q^{89} +(-9.75194 + 6.71371i) q^{90} +(-3.16397 - 5.48016i) q^{91} +(0.898230 + 5.61360i) q^{92} +(-0.309642 + 0.536316i) q^{93} +(2.04634 - 4.29901i) q^{94} +(9.21082 + 10.3928i) q^{95} +(2.09015 - 2.74641i) q^{96} +(-0.641491 - 0.370365i) q^{97} +(-1.65019 + 1.13607i) q^{98} +(12.4425 - 7.18366i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q - 3q^{2} - 3q^{4} - 2q^{5} + 5q^{6} - 4q^{9} + O(q^{10}) \) \( 16q - 3q^{2} - 3q^{4} - 2q^{5} + 5q^{6} - 4q^{9} - 6q^{10} - 18q^{13} - 6q^{14} - 3q^{16} + 2q^{17} + 4q^{20} + 3q^{22} - 23q^{24} - 2q^{25} - 24q^{26} - 4q^{28} - 6q^{29} + 28q^{30} + 27q^{32} + 18q^{33} + 36q^{34} + 14q^{36} - 24q^{38} + 48q^{40} - 48q^{41} + 28q^{42} - 25q^{44} + 24q^{45} + 9q^{48} + 16q^{49} + 6q^{52} + 6q^{53} + 17q^{54} - 26q^{57} - 40q^{58} - 6q^{60} - 26q^{61} + 32q^{62} - 18q^{64} + 5q^{66} - 36q^{68} - 54q^{70} - 66q^{72} + 16q^{73} - 2q^{74} + 43q^{76} + 80q^{77} - 84q^{78} - 30q^{80} + 12q^{81} + 11q^{82} + 14q^{85} - 48q^{86} + 18q^{89} - 18q^{90} - 52q^{92} - 20q^{93} + 46q^{96} - 12q^{97} + 51q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.16486 + 0.801943i −0.823677 + 0.567059i
\(3\) 0.305055 0.528371i 0.176124 0.305055i −0.764426 0.644712i \(-0.776977\pi\)
0.940550 + 0.339657i \(0.110311\pi\)
\(4\) 0.713775 1.86829i 0.356888 0.934147i
\(5\) 1.59295 2.75907i 0.712389 1.23389i −0.251569 0.967839i \(-0.580946\pi\)
0.963958 0.266055i \(-0.0857203\pi\)
\(6\) 0.0683782 + 0.860112i 0.0279153 + 0.351139i
\(7\) 2.36291i 0.893097i 0.894759 + 0.446548i \(0.147347\pi\)
−0.894759 + 0.446548i \(0.852653\pi\)
\(8\) 0.666820 + 2.74870i 0.235757 + 0.971812i
\(9\) 1.31388 + 2.27571i 0.437961 + 0.758571i
\(10\) 0.357061 + 4.49138i 0.112913 + 1.42030i
\(11\) 5.46750i 1.64851i −0.566216 0.824257i \(-0.691593\pi\)
0.566216 0.824257i \(-0.308407\pi\)
\(12\) −0.769412 0.947071i −0.222110 0.273396i
\(13\) −2.31924 + 1.33901i −0.643241 + 0.371375i −0.785862 0.618402i \(-0.787780\pi\)
0.142621 + 0.989777i \(0.454447\pi\)
\(14\) −1.89492 2.75245i −0.506439 0.735623i
\(15\) −0.971875 1.68334i −0.250937 0.434636i
\(16\) −2.98105 2.66709i −0.745262 0.666771i
\(17\) −0.552780 + 0.957443i −0.134069 + 0.232214i −0.925241 0.379379i \(-0.876138\pi\)
0.791173 + 0.611593i \(0.209471\pi\)
\(18\) −3.35547 1.59722i −0.790893 0.376467i
\(19\) −1.37952 + 4.13484i −0.316484 + 0.948598i
\(20\) −4.01775 4.94546i −0.898396 1.10584i
\(21\) 1.24849 + 0.720818i 0.272444 + 0.157295i
\(22\) 4.38462 + 6.36885i 0.934805 + 1.35784i
\(23\) −2.46168 + 1.42125i −0.513296 + 0.296352i −0.734187 0.678947i \(-0.762437\pi\)
0.220891 + 0.975298i \(0.429103\pi\)
\(24\) 1.65575 + 0.486176i 0.337978 + 0.0992403i
\(25\) −2.57499 4.46001i −0.514997 0.892001i
\(26\) 1.62777 3.41965i 0.319231 0.670649i
\(27\) 3.43356 0.660788
\(28\) 4.41462 + 1.68659i 0.834284 + 0.318735i
\(29\) −5.63736 + 3.25473i −1.04683 + 0.604389i −0.921761 0.387759i \(-0.873249\pi\)
−0.125071 + 0.992148i \(0.539916\pi\)
\(30\) 2.48203 + 1.18146i 0.453155 + 0.215703i
\(31\) −1.01504 −0.182306 −0.0911531 0.995837i \(-0.529055\pi\)
−0.0911531 + 0.995837i \(0.529055\pi\)
\(32\) 5.61134 + 0.716137i 0.991954 + 0.126596i
\(33\) −2.88887 1.66789i −0.502887 0.290342i
\(34\) −0.123906 1.55858i −0.0212497 0.267294i
\(35\) 6.51945 + 3.76400i 1.10199 + 0.636233i
\(36\) 5.18952 0.830373i 0.864920 0.138396i
\(37\) 0.450315i 0.0740314i 0.999315 + 0.0370157i \(0.0117851\pi\)
−0.999315 + 0.0370157i \(0.988215\pi\)
\(38\) −1.70896 5.92279i −0.277231 0.960803i
\(39\) 1.63389i 0.261632i
\(40\) 8.64607 + 2.53874i 1.36706 + 0.401410i
\(41\) 0.336089 + 0.194041i 0.0524882 + 0.0303041i 0.526014 0.850476i \(-0.323686\pi\)
−0.473526 + 0.880780i \(0.657019\pi\)
\(42\) −2.03237 + 0.161572i −0.313601 + 0.0249311i
\(43\) 4.96197 + 2.86479i 0.756693 + 0.436877i 0.828107 0.560570i \(-0.189418\pi\)
−0.0714141 + 0.997447i \(0.522751\pi\)
\(44\) −10.2149 3.90257i −1.53995 0.588334i
\(45\) 8.37180 1.24799
\(46\) 1.72774 3.62968i 0.254741 0.535167i
\(47\) −2.91563 + 1.68334i −0.425288 + 0.245540i −0.697337 0.716743i \(-0.745632\pi\)
0.272049 + 0.962283i \(0.412299\pi\)
\(48\) −2.31859 + 0.761492i −0.334660 + 0.109912i
\(49\) 1.41665 0.202378
\(50\) 6.57616 + 3.13027i 0.930009 + 0.442687i
\(51\) 0.337257 + 0.584146i 0.0472254 + 0.0817967i
\(52\) 0.846255 + 5.28878i 0.117355 + 0.733421i
\(53\) −3.53036 + 2.03825i −0.484932 + 0.279976i −0.722470 0.691403i \(-0.756993\pi\)
0.237537 + 0.971378i \(0.423660\pi\)
\(54\) −3.99960 + 2.75352i −0.544276 + 0.374706i
\(55\) −15.0852 8.70946i −2.03409 1.17438i
\(56\) −6.49494 + 1.57564i −0.867922 + 0.210553i
\(57\) 1.76390 + 1.99025i 0.233634 + 0.263616i
\(58\) 3.95660 8.31213i 0.519527 1.09144i
\(59\) 6.82450 11.8204i 0.888474 1.53888i 0.0467951 0.998905i \(-0.485099\pi\)
0.841679 0.539978i \(-0.181567\pi\)
\(60\) −3.83867 + 0.614225i −0.495570 + 0.0792961i
\(61\) −6.77885 11.7413i −0.867943 1.50332i −0.864095 0.503329i \(-0.832108\pi\)
−0.00384839 0.999993i \(-0.501225\pi\)
\(62\) 1.18237 0.814002i 0.150161 0.103378i
\(63\) −5.37731 + 3.10459i −0.677477 + 0.391142i
\(64\) −7.11070 + 3.66578i −0.888838 + 0.458222i
\(65\) 8.53193i 1.05826i
\(66\) 4.70267 0.373858i 0.578858 0.0460188i
\(67\) 4.27064 + 7.39696i 0.521742 + 0.903683i 0.999680 + 0.0252897i \(0.00805083\pi\)
−0.477939 + 0.878393i \(0.658616\pi\)
\(68\) 1.39422 + 1.71616i 0.169075 + 0.208114i
\(69\) 1.73424i 0.208778i
\(70\) −10.6127 + 0.843703i −1.26846 + 0.100842i
\(71\) −1.07447 + 1.86103i −0.127516 + 0.220864i −0.922714 0.385486i \(-0.874034\pi\)
0.795198 + 0.606350i \(0.207367\pi\)
\(72\) −5.37912 + 5.12896i −0.633936 + 0.604454i
\(73\) 3.91944 6.78867i 0.458736 0.794554i −0.540158 0.841563i \(-0.681636\pi\)
0.998894 + 0.0470092i \(0.0149690\pi\)
\(74\) −0.361127 0.524552i −0.0419802 0.0609779i
\(75\) −3.14205 −0.362813
\(76\) 6.74043 + 5.52870i 0.773181 + 0.634186i
\(77\) 12.9192 1.47228
\(78\) −1.31029 1.90325i −0.148361 0.215500i
\(79\) 5.57208 9.65112i 0.626908 1.08584i −0.361261 0.932465i \(-0.617654\pi\)
0.988169 0.153371i \(-0.0490131\pi\)
\(80\) −12.1073 + 3.97639i −1.35364 + 0.444574i
\(81\) −2.89422 + 5.01294i −0.321581 + 0.556994i
\(82\) −0.547104 + 0.0434943i −0.0604176 + 0.00480315i
\(83\) 4.14868i 0.455376i −0.973734 0.227688i \(-0.926883\pi\)
0.973734 0.227688i \(-0.0731167\pi\)
\(84\) 2.23785 1.81805i 0.244169 0.198366i
\(85\) 1.76110 + 3.05032i 0.191018 + 0.330854i
\(86\) −8.07738 + 0.642145i −0.871006 + 0.0692443i
\(87\) 3.97149i 0.425788i
\(88\) 15.0285 3.64584i 1.60205 0.388648i
\(89\) 4.19126 2.41982i 0.444272 0.256501i −0.261136 0.965302i \(-0.584097\pi\)
0.705408 + 0.708801i \(0.250764\pi\)
\(90\) −9.75194 + 6.71371i −1.02794 + 0.707687i
\(91\) −3.16397 5.48016i −0.331674 0.574477i
\(92\) 0.898230 + 5.61360i 0.0936470 + 0.585258i
\(93\) −0.309642 + 0.536316i −0.0321084 + 0.0556134i
\(94\) 2.04634 4.29901i 0.211064 0.443409i
\(95\) 9.21082 + 10.3928i 0.945010 + 1.06628i
\(96\) 2.09015 2.74641i 0.213325 0.280304i
\(97\) −0.641491 0.370365i −0.0651335 0.0376048i 0.467080 0.884215i \(-0.345306\pi\)
−0.532213 + 0.846610i \(0.678639\pi\)
\(98\) −1.65019 + 1.13607i −0.166694 + 0.114760i
\(99\) 12.4425 7.18366i 1.25051 0.721985i
\(100\) −10.1706 + 1.62739i −1.01706 + 0.162739i
\(101\) 2.69851 + 4.67396i 0.268512 + 0.465076i 0.968478 0.249100i \(-0.0801348\pi\)
−0.699966 + 0.714176i \(0.746801\pi\)
\(102\) −0.861307 0.409985i −0.0852821 0.0405945i
\(103\) −7.54816 −0.743743 −0.371871 0.928284i \(-0.621284\pi\)
−0.371871 + 0.928284i \(0.621284\pi\)
\(104\) −5.22706 5.48201i −0.512556 0.537555i
\(105\) 3.97758 2.29646i 0.388172 0.224111i
\(106\) 2.47779 5.20542i 0.240665 0.505595i
\(107\) −18.4008 −1.77887 −0.889437 0.457058i \(-0.848903\pi\)
−0.889437 + 0.457058i \(0.848903\pi\)
\(108\) 2.45079 6.41490i 0.235827 0.617274i
\(109\) 4.23847 + 2.44708i 0.405971 + 0.234388i 0.689057 0.724707i \(-0.258025\pi\)
−0.283086 + 0.959095i \(0.591358\pi\)
\(110\) 24.5566 1.95223i 2.34138 0.186138i
\(111\) 0.237933 + 0.137371i 0.0225836 + 0.0130387i
\(112\) 6.30209 7.04396i 0.595491 0.665591i
\(113\) 17.8362i 1.67789i −0.544220 0.838943i \(-0.683174\pi\)
0.544220 0.838943i \(-0.316826\pi\)
\(114\) −3.65076 0.903810i −0.341925 0.0846496i
\(115\) 9.05594i 0.844471i
\(116\) 2.05699 + 12.8554i 0.190987 + 1.19359i
\(117\) −6.09442 3.51861i −0.563429 0.325296i
\(118\) 1.52972 + 19.2419i 0.140822 + 1.77136i
\(119\) −2.26235 1.30617i −0.207390 0.119736i
\(120\) 3.97892 3.79388i 0.363224 0.346332i
\(121\) −18.8936 −1.71760
\(122\) 17.3122 + 8.24068i 1.56738 + 0.746076i
\(123\) 0.205051 0.118386i 0.0184888 0.0106745i
\(124\) −0.724509 + 1.89639i −0.0650628 + 0.170301i
\(125\) −0.477794 −0.0427352
\(126\) 3.77408 7.92869i 0.336222 0.706344i
\(127\) 4.84855 + 8.39793i 0.430239 + 0.745196i 0.996894 0.0787596i \(-0.0250959\pi\)
−0.566655 + 0.823955i \(0.691763\pi\)
\(128\) 5.34319 9.97248i 0.472276 0.881451i
\(129\) 3.02735 1.74784i 0.266543 0.153889i
\(130\) −6.84212 9.93846i −0.600094 0.871661i
\(131\) 6.81626 + 3.93537i 0.595539 + 0.343835i 0.767285 0.641307i \(-0.221607\pi\)
−0.171745 + 0.985141i \(0.554941\pi\)
\(132\) −5.17811 + 4.20676i −0.450697 + 0.366151i
\(133\) −9.77027 3.25969i −0.847190 0.282651i
\(134\) −10.9066 5.19158i −0.942188 0.448485i
\(135\) 5.46949 9.47343i 0.470739 0.815343i
\(136\) −3.00033 0.880984i −0.257276 0.0755437i
\(137\) 5.32438 + 9.22210i 0.454893 + 0.787897i 0.998682 0.0513247i \(-0.0163443\pi\)
−0.543790 + 0.839222i \(0.683011\pi\)
\(138\) −1.39076 2.02014i −0.118390 0.171966i
\(139\) −3.86571 + 2.23187i −0.327885 + 0.189305i −0.654902 0.755714i \(-0.727290\pi\)
0.327017 + 0.945019i \(0.393957\pi\)
\(140\) 11.6857 9.49359i 0.987621 0.802355i
\(141\) 2.05404i 0.172982i
\(142\) −0.240842 3.02949i −0.0202110 0.254229i
\(143\) 7.32106 + 12.6804i 0.612218 + 1.06039i
\(144\) 2.15277 10.2882i 0.179397 0.857354i
\(145\) 20.7385i 1.72224i
\(146\) 0.878545 + 11.0510i 0.0727089 + 0.914587i
\(147\) 0.432155 0.748514i 0.0356435 0.0617364i
\(148\) 0.841321 + 0.321424i 0.0691562 + 0.0264209i
\(149\) −4.00960 + 6.94483i −0.328479 + 0.568942i −0.982210 0.187785i \(-0.939869\pi\)
0.653731 + 0.756727i \(0.273203\pi\)
\(150\) 3.66003 2.51974i 0.298840 0.205736i
\(151\) 5.53975 0.450818 0.225409 0.974264i \(-0.427628\pi\)
0.225409 + 0.974264i \(0.427628\pi\)
\(152\) −12.2853 1.03469i −0.996472 0.0839247i
\(153\) −2.90515 −0.234868
\(154\) −15.0490 + 10.3605i −1.21269 + 0.834871i
\(155\) −1.61691 + 2.80056i −0.129873 + 0.224947i
\(156\) 3.05259 + 1.16623i 0.244403 + 0.0933732i
\(157\) 1.42480 2.46782i 0.113711 0.196954i −0.803553 0.595234i \(-0.797059\pi\)
0.917264 + 0.398280i \(0.130393\pi\)
\(158\) 1.24898 + 15.7106i 0.0993638 + 1.24987i
\(159\) 2.48712i 0.197241i
\(160\) 10.9145 14.3413i 0.862864 1.13378i
\(161\) −3.35829 5.81674i −0.264671 0.458423i
\(162\) −0.648742 8.16036i −0.0509700 0.641138i
\(163\) 8.60401i 0.673918i −0.941519 0.336959i \(-0.890602\pi\)
0.941519 0.336959i \(-0.109398\pi\)
\(164\) 0.602417 0.489411i 0.0470409 0.0382166i
\(165\) −9.20365 + 5.31373i −0.716503 + 0.413673i
\(166\) 3.32700 + 4.83261i 0.258225 + 0.375083i
\(167\) −9.00563 15.5982i −0.696877 1.20703i −0.969544 0.244918i \(-0.921239\pi\)
0.272667 0.962108i \(-0.412094\pi\)
\(168\) −1.14879 + 3.91239i −0.0886312 + 0.301848i
\(169\) −2.91409 + 5.04735i −0.224161 + 0.388257i
\(170\) −4.49761 2.14088i −0.344951 0.164198i
\(171\) −11.2222 + 2.29330i −0.858186 + 0.175373i
\(172\) 8.89401 7.22560i 0.678162 0.550947i
\(173\) −15.3081 8.83813i −1.16385 0.671951i −0.211629 0.977350i \(-0.567877\pi\)
−0.952224 + 0.305399i \(0.901210\pi\)
\(174\) −3.18491 4.62621i −0.241447 0.350712i
\(175\) 10.5386 6.08447i 0.796644 0.459942i
\(176\) −14.5823 + 16.2989i −1.09918 + 1.22858i
\(177\) −4.16370 7.21173i −0.312963 0.542067i
\(178\) −2.94165 + 6.17989i −0.220486 + 0.463203i
\(179\) −14.9607 −1.11822 −0.559108 0.829095i \(-0.688856\pi\)
−0.559108 + 0.829095i \(0.688856\pi\)
\(180\) 5.97559 15.6410i 0.445394 1.16581i
\(181\) 15.1591 8.75213i 1.12677 0.650541i 0.183649 0.982992i \(-0.441209\pi\)
0.943121 + 0.332451i \(0.107876\pi\)
\(182\) 8.08034 + 3.84627i 0.598955 + 0.285104i
\(183\) −8.27169 −0.611461
\(184\) −5.54809 5.81870i −0.409011 0.428960i
\(185\) 1.24245 + 0.717330i 0.0913469 + 0.0527392i
\(186\) −0.0694065 0.873046i −0.00508913 0.0640149i
\(187\) 5.23482 + 3.02233i 0.382808 + 0.221014i
\(188\) 1.06387 + 6.64877i 0.0775906 + 0.484912i
\(189\) 8.11319i 0.590148i
\(190\) −19.0637 4.71956i −1.38303 0.342393i
\(191\) 18.6529i 1.34967i 0.737967 + 0.674837i \(0.235786\pi\)
−0.737967 + 0.674837i \(0.764214\pi\)
\(192\) −0.232265 + 4.87535i −0.0167623 + 0.351848i
\(193\) −6.44722 3.72230i −0.464081 0.267937i 0.249678 0.968329i \(-0.419675\pi\)
−0.713759 + 0.700392i \(0.753009\pi\)
\(194\) 1.04425 0.0830174i 0.0749731 0.00596030i
\(195\) 4.50802 + 2.60271i 0.322826 + 0.186384i
\(196\) 1.01117 2.64671i 0.0722262 0.189051i
\(197\) 14.1748 1.00991 0.504955 0.863146i \(-0.331509\pi\)
0.504955 + 0.863146i \(0.331509\pi\)
\(198\) −8.73278 + 18.3461i −0.620612 + 1.30380i
\(199\) 5.81457 3.35704i 0.412184 0.237974i −0.279544 0.960133i \(-0.590183\pi\)
0.691728 + 0.722159i \(0.256850\pi\)
\(200\) 10.5422 10.0519i 0.745444 0.710776i
\(201\) 5.21112 0.367564
\(202\) −6.89162 3.28043i −0.484893 0.230810i
\(203\) −7.69065 13.3206i −0.539778 0.934922i
\(204\) 1.33208 0.213146i 0.0932644 0.0149232i
\(205\) 1.07075 0.618195i 0.0747841 0.0431766i
\(206\) 8.79252 6.05319i 0.612604 0.421746i
\(207\) −6.46872 3.73472i −0.449607 0.259581i
\(208\) 10.4850 + 2.19394i 0.727006 + 0.152123i
\(209\) 22.6073 + 7.54254i 1.56378 + 0.521728i
\(210\) −2.79168 + 5.86483i −0.192644 + 0.404712i
\(211\) −3.81983 + 6.61614i −0.262968 + 0.455474i −0.967029 0.254665i \(-0.918035\pi\)
0.704061 + 0.710139i \(0.251368\pi\)
\(212\) 1.28817 + 8.05061i 0.0884722 + 0.552918i
\(213\) 0.655543 + 1.13543i 0.0449171 + 0.0777986i
\(214\) 21.4343 14.7564i 1.46522 1.00873i
\(215\) 15.8083 9.12695i 1.07812 0.622453i
\(216\) 2.28957 + 9.43782i 0.155785 + 0.642162i
\(217\) 2.39845i 0.162817i
\(218\) −6.89962 + 0.548514i −0.467301 + 0.0371501i
\(219\) −2.39129 4.14184i −0.161589 0.279880i
\(220\) −27.0393 + 21.9671i −1.82299 + 1.48102i
\(221\) 2.96072i 0.199160i
\(222\) −0.387322 + 0.0307918i −0.0259953 + 0.00206661i
\(223\) 0.858455 1.48689i 0.0574864 0.0995693i −0.835850 0.548958i \(-0.815025\pi\)
0.893336 + 0.449388i \(0.148358\pi\)
\(224\) −1.69217 + 13.2591i −0.113063 + 0.885911i
\(225\) 6.76646 11.7199i 0.451097 0.781323i
\(226\) 14.3036 + 20.7766i 0.951460 + 1.38204i
\(227\) 17.2724 1.14641 0.573203 0.819413i \(-0.305701\pi\)
0.573203 + 0.819413i \(0.305701\pi\)
\(228\) 4.97741 1.87489i 0.329637 0.124168i
\(229\) 16.7940 1.10978 0.554891 0.831923i \(-0.312760\pi\)
0.554891 + 0.831923i \(0.312760\pi\)
\(230\) −7.26235 10.5489i −0.478865 0.695571i
\(231\) 3.94108 6.82614i 0.259304 0.449127i
\(232\) −12.7054 13.3251i −0.834150 0.874835i
\(233\) −1.66348 + 2.88123i −0.108978 + 0.188756i −0.915357 0.402644i \(-0.868091\pi\)
0.806378 + 0.591400i \(0.201425\pi\)
\(234\) 9.92084 0.788699i 0.648546 0.0515589i
\(235\) 10.7259i 0.699680i
\(236\) −17.2128 21.1873i −1.12046 1.37917i
\(237\) −3.39958 5.88825i −0.220827 0.382483i
\(238\) 3.68279 0.292779i 0.238720 0.0189780i
\(239\) 4.83178i 0.312542i −0.987714 0.156271i \(-0.950053\pi\)
0.987714 0.156271i \(-0.0499473\pi\)
\(240\) −1.59240 + 7.61019i −0.102789 + 0.491235i
\(241\) 23.1768 13.3811i 1.49295 0.861954i 0.492980 0.870041i \(-0.335908\pi\)
0.999967 + 0.00808705i \(0.00257422\pi\)
\(242\) 22.0083 15.1516i 1.41475 0.973980i
\(243\) 6.91613 + 11.9791i 0.443670 + 0.768459i
\(244\) −26.7748 + 4.28423i −1.71408 + 0.274270i
\(245\) 2.25665 3.90863i 0.144172 0.249713i
\(246\) −0.143916 + 0.302342i −0.00917573 + 0.0192766i
\(247\) −2.33717 11.4369i −0.148710 0.727712i
\(248\) −0.676848 2.79003i −0.0429799 0.177167i
\(249\) −2.19204 1.26557i −0.138915 0.0802025i
\(250\) 0.556561 0.383164i 0.0352000 0.0242334i
\(251\) −12.7393 + 7.35502i −0.804096 + 0.464245i −0.844901 0.534922i \(-0.820341\pi\)
0.0408056 + 0.999167i \(0.487008\pi\)
\(252\) 1.96210 + 12.2624i 0.123601 + 0.772457i
\(253\) 7.77070 + 13.4592i 0.488540 + 0.846176i
\(254\) −12.3825 5.89412i −0.776948 0.369830i
\(255\) 2.14893 0.134571
\(256\) 1.77331 + 15.9014i 0.110832 + 0.993839i
\(257\) −8.75454 + 5.05443i −0.546093 + 0.315287i −0.747545 0.664212i \(-0.768767\pi\)
0.201452 + 0.979498i \(0.435434\pi\)
\(258\) −2.12475 + 4.46374i −0.132281 + 0.277900i
\(259\) −1.06406 −0.0661172
\(260\) 15.9402 + 6.08988i 0.988567 + 0.377678i
\(261\) −14.8137 8.55268i −0.916943 0.529397i
\(262\) −11.0959 + 0.882115i −0.685507 + 0.0544972i
\(263\) 13.6702 + 7.89252i 0.842943 + 0.486673i 0.858264 0.513209i \(-0.171543\pi\)
−0.0153204 + 0.999883i \(0.504877\pi\)
\(264\) 2.65817 9.05281i 0.163599 0.557162i
\(265\) 12.9874i 0.797807i
\(266\) 13.9950 4.03813i 0.858091 0.247594i
\(267\) 2.95272i 0.180703i
\(268\) 16.8680 2.69904i 1.03038 0.164870i
\(269\) −0.0632774 0.0365332i −0.00385809 0.00222747i 0.498070 0.867137i \(-0.334042\pi\)
−0.501928 + 0.864910i \(0.667376\pi\)
\(270\) 1.22599 + 15.4214i 0.0746113 + 0.938516i
\(271\) 6.48453 + 3.74384i 0.393907 + 0.227422i 0.683852 0.729621i \(-0.260304\pi\)
−0.289945 + 0.957043i \(0.593637\pi\)
\(272\) 4.20145 1.37987i 0.254750 0.0836671i
\(273\) −3.86074 −0.233663
\(274\) −13.5977 6.47256i −0.821469 0.391022i
\(275\) −24.3851 + 14.0787i −1.47048 + 0.848980i
\(276\) 3.24007 + 1.23786i 0.195029 + 0.0745103i
\(277\) −19.0585 −1.14511 −0.572557 0.819865i \(-0.694048\pi\)
−0.572557 + 0.819865i \(0.694048\pi\)
\(278\) 2.71316 5.69988i 0.162725 0.341856i
\(279\) −1.33364 2.30993i −0.0798430 0.138292i
\(280\) −5.99882 + 20.4299i −0.358498 + 1.22092i
\(281\) −7.58314 + 4.37813i −0.452372 + 0.261177i −0.708832 0.705378i \(-0.750777\pi\)
0.256459 + 0.966555i \(0.417444\pi\)
\(282\) −1.64722 2.39266i −0.0980908 0.142481i
\(283\) −17.9331 10.3537i −1.06601 0.615461i −0.138921 0.990303i \(-0.544363\pi\)
−0.927088 + 0.374843i \(0.877697\pi\)
\(284\) 2.71003 + 3.33578i 0.160810 + 0.197942i
\(285\) 8.30106 1.69635i 0.491712 0.100483i
\(286\) −18.6970 8.89981i −1.10557 0.526257i
\(287\) −0.458501 + 0.794148i −0.0270645 + 0.0468771i
\(288\) 5.74292 + 13.7107i 0.338405 + 0.807912i
\(289\) 7.88887 + 13.6639i 0.464051 + 0.803760i
\(290\) −16.6311 24.1574i −0.976612 1.41857i
\(291\) −0.391380 + 0.225963i −0.0229431 + 0.0132462i
\(292\) −9.88564 12.1683i −0.578513 0.712094i
\(293\) 19.7950i 1.15643i −0.815883 0.578217i \(-0.803749\pi\)
0.815883 0.578217i \(-0.196251\pi\)
\(294\) 0.0968677 + 1.21847i 0.00564944 + 0.0710629i
\(295\) −21.7422 37.6586i −1.26588 2.19257i
\(296\) −1.23778 + 0.300279i −0.0719446 + 0.0174534i
\(297\) 18.7730i 1.08932i
\(298\) −0.898753 11.3052i −0.0520634 0.654892i
\(299\) 3.80615 6.59245i 0.220115 0.381251i
\(300\) −2.24272 + 5.87027i −0.129483 + 0.338920i
\(301\) −6.76926 + 11.7247i −0.390173 + 0.675800i
\(302\) −6.45300 + 4.44256i −0.371329 + 0.255641i
\(303\) 3.29278 0.189165
\(304\) 15.1404 8.64687i 0.868361 0.495932i
\(305\) −43.1935 −2.47325
\(306\) 3.38408 2.32977i 0.193455 0.133184i
\(307\) 4.47582 7.75235i 0.255449 0.442450i −0.709569 0.704636i \(-0.751110\pi\)
0.965017 + 0.262186i \(0.0844435\pi\)
\(308\) 9.22143 24.1369i 0.525440 1.37533i
\(309\) −2.30260 + 3.98823i −0.130991 + 0.226882i
\(310\) −0.362430 4.55892i −0.0205846 0.258929i
\(311\) 0.249429i 0.0141438i 0.999975 + 0.00707191i \(0.00225108\pi\)
−0.999975 + 0.00707191i \(0.997749\pi\)
\(312\) −4.49108 + 1.08951i −0.254257 + 0.0616815i
\(313\) 11.8686 + 20.5570i 0.670852 + 1.16195i 0.977663 + 0.210179i \(0.0674046\pi\)
−0.306811 + 0.951770i \(0.599262\pi\)
\(314\) 0.319369 + 4.01727i 0.0180231 + 0.226707i
\(315\) 19.7818i 1.11458i
\(316\) −14.0539 17.2990i −0.790595 0.973146i
\(317\) −14.6359 + 8.45005i −0.822035 + 0.474602i −0.851118 0.524975i \(-0.824075\pi\)
0.0290826 + 0.999577i \(0.490741\pi\)
\(318\) −1.99453 2.89713i −0.111848 0.162463i
\(319\) 17.7953 + 30.8223i 0.996343 + 1.72572i
\(320\) −1.21285 + 25.4583i −0.0678005 + 1.42316i
\(321\) −5.61326 + 9.72245i −0.313302 + 0.542654i
\(322\) 8.57662 + 4.08250i 0.477956 + 0.227509i
\(323\) −3.19630 3.60647i −0.177847 0.200669i
\(324\) 7.29983 + 8.98538i 0.405546 + 0.499188i
\(325\) 11.9440 + 6.89588i 0.662535 + 0.382515i
\(326\) 6.89993 + 10.0224i 0.382152 + 0.555091i
\(327\) 2.58593 1.49299i 0.143002 0.0825624i
\(328\) −0.309249 + 1.05320i −0.0170754 + 0.0581531i
\(329\) −3.97758 6.88937i −0.219291 0.379823i
\(330\) 6.45961 13.5705i 0.355590 0.747033i
\(331\) 9.72419 0.534490 0.267245 0.963629i \(-0.413887\pi\)
0.267245 + 0.963629i \(0.413887\pi\)
\(332\) −7.75095 2.96122i −0.425388 0.162518i
\(333\) −1.02479 + 0.591661i −0.0561580 + 0.0324228i
\(334\) 22.9991 + 10.9477i 1.25846 + 0.599029i
\(335\) 27.2117 1.48673
\(336\) −1.79934 5.47863i −0.0981619 0.298884i
\(337\) 8.24404 + 4.75970i 0.449081 + 0.259277i 0.707442 0.706771i \(-0.249849\pi\)
−0.258361 + 0.966049i \(0.583182\pi\)
\(338\) −0.653194 8.21636i −0.0355291 0.446911i
\(339\) −9.42411 5.44101i −0.511847 0.295515i
\(340\) 6.95593 1.11302i 0.377238 0.0603618i
\(341\) 5.54972i 0.300534i
\(342\) 11.2332 11.6710i 0.607421 0.631093i
\(343\) 19.8878i 1.07384i
\(344\) −4.56572 + 15.5493i −0.246167 + 0.838360i
\(345\) 4.78489 + 2.76256i 0.257610 + 0.148731i
\(346\) 24.9194 1.98107i 1.33967 0.106503i
\(347\) −15.9269 9.19538i −0.854999 0.493634i 0.00733524 0.999973i \(-0.497665\pi\)
−0.862334 + 0.506339i \(0.830998\pi\)
\(348\) 7.41991 + 2.83475i 0.397749 + 0.151959i
\(349\) 5.86074 0.313718 0.156859 0.987621i \(-0.449863\pi\)
0.156859 + 0.987621i \(0.449863\pi\)
\(350\) −7.39655 + 15.5389i −0.395362 + 0.830588i
\(351\) −7.96324 + 4.59758i −0.425046 + 0.245401i
\(352\) 3.91548 30.6800i 0.208696 1.63525i
\(353\) −12.9828 −0.691006 −0.345503 0.938418i \(-0.612292\pi\)
−0.345503 + 0.938418i \(0.612292\pi\)
\(354\) 10.6335 + 5.06158i 0.565164 + 0.269020i
\(355\) 3.42315 + 5.92906i 0.181682 + 0.314682i
\(356\) −1.52933 9.55772i −0.0810542 0.506558i
\(357\) −1.38028 + 0.796908i −0.0730524 + 0.0421768i
\(358\) 17.4271 11.9976i 0.921049 0.634095i
\(359\) 29.5172 + 17.0418i 1.55786 + 0.899430i 0.997462 + 0.0712049i \(0.0226844\pi\)
0.560396 + 0.828225i \(0.310649\pi\)
\(360\) 5.58249 + 23.0116i 0.294223 + 1.21282i
\(361\) −15.1938 11.4082i −0.799676 0.600432i
\(362\) −10.6395 + 22.3517i −0.559199 + 1.17478i
\(363\) −5.76358 + 9.98282i −0.302510 + 0.523962i
\(364\) −12.4969 + 1.99963i −0.655016 + 0.104809i
\(365\) −12.4870 21.6281i −0.653597 1.13206i
\(366\) 9.63532 6.63342i 0.503646 0.346735i
\(367\) 11.3161 6.53337i 0.590697 0.341039i −0.174676 0.984626i \(-0.555888\pi\)
0.765373 + 0.643587i \(0.222554\pi\)
\(368\) 11.1290 + 2.32869i 0.580139 + 0.121391i
\(369\) 1.01979i 0.0530880i
\(370\) −2.02253 + 0.160790i −0.105147 + 0.00835907i
\(371\) −4.81621 8.34193i −0.250045 0.433091i
\(372\) 0.780982 + 0.961313i 0.0404920 + 0.0498417i
\(373\) 11.8954i 0.615922i −0.951399 0.307961i \(-0.900353\pi\)
0.951399 0.307961i \(-0.0996466\pi\)
\(374\) −8.52154 + 0.677456i −0.440638 + 0.0350304i
\(375\) −0.145754 + 0.252453i −0.00752668 + 0.0130366i
\(376\) −6.57119 6.89170i −0.338883 0.355412i
\(377\) 8.71626 15.0970i 0.448910 0.777535i
\(378\) −6.50632 9.45069i −0.334649 0.486091i
\(379\) −8.93709 −0.459068 −0.229534 0.973301i \(-0.573720\pi\)
−0.229534 + 0.973301i \(0.573720\pi\)
\(380\) 25.9913 9.79039i 1.33332 0.502237i
\(381\) 5.91630 0.303101
\(382\) −14.9585 21.7279i −0.765345 1.11169i
\(383\) −6.14400 + 10.6417i −0.313944 + 0.543767i −0.979212 0.202838i \(-0.934984\pi\)
0.665269 + 0.746604i \(0.268317\pi\)
\(384\) −3.63920 5.86534i −0.185712 0.299314i
\(385\) 20.5797 35.6451i 1.04884 1.81664i
\(386\) 10.4952 0.834356i 0.534189 0.0424676i
\(387\) 15.0560i 0.765340i
\(388\) −1.14983 + 0.934136i −0.0583738 + 0.0474236i
\(389\) −3.61961 6.26935i −0.183522 0.317869i 0.759556 0.650442i \(-0.225416\pi\)
−0.943077 + 0.332573i \(0.892083\pi\)
\(390\) −7.33842 + 0.583398i −0.371595 + 0.0295415i
\(391\) 3.14256i 0.158926i
\(392\) 0.944648 + 3.89393i 0.0477119 + 0.196673i
\(393\) 4.15867 2.40101i 0.209777 0.121115i
\(394\) −16.5115 + 11.3673i −0.831839 + 0.572679i
\(395\) −17.7521 30.7475i −0.893205 1.54708i
\(396\) −4.54007 28.3737i −0.228147 1.42583i
\(397\) −14.7425 + 25.5347i −0.739904 + 1.28155i 0.212633 + 0.977132i \(0.431796\pi\)
−0.952538 + 0.304420i \(0.901537\pi\)
\(398\) −4.08097 + 8.57342i −0.204561 + 0.429747i
\(399\) −4.70279 + 4.16794i −0.235434 + 0.208658i
\(400\) −4.21906 + 20.1632i −0.210953 + 1.00816i
\(401\) 3.17820 + 1.83494i 0.158712 + 0.0916323i 0.577252 0.816566i \(-0.304125\pi\)
−0.418541 + 0.908198i \(0.637458\pi\)
\(402\) −6.07020 + 4.17902i −0.302754 + 0.208431i
\(403\) 2.35412 1.35915i 0.117267 0.0677040i
\(404\) 10.6585 1.70546i 0.530278 0.0848497i
\(405\) 9.22072 + 15.9707i 0.458181 + 0.793593i
\(406\) 19.6408 + 9.34910i 0.974759 + 0.463988i
\(407\) 2.46210 0.122042
\(408\) −1.38075 + 1.31654i −0.0683574 + 0.0651783i
\(409\) 0.913849 0.527611i 0.0451869 0.0260887i −0.477236 0.878775i \(-0.658361\pi\)
0.522423 + 0.852686i \(0.325028\pi\)
\(410\) −0.751506 + 1.57878i −0.0371142 + 0.0779706i
\(411\) 6.49692 0.320469
\(412\) −5.38769 + 14.1022i −0.265433 + 0.694765i
\(413\) 27.9305 + 16.1257i 1.37437 + 0.793494i
\(414\) 10.5302 0.837139i 0.517529 0.0411431i
\(415\) −11.4465 6.60864i −0.561886 0.324405i
\(416\) −13.9730 + 5.85277i −0.685081 + 0.286955i
\(417\) 2.72337i 0.133364i
\(418\) −32.3829 + 9.34376i −1.58390 + 0.457018i
\(419\) 12.9932i 0.634757i −0.948299 0.317379i \(-0.897197\pi\)
0.948299 0.317379i \(-0.102803\pi\)
\(420\) −1.45136 9.07044i −0.0708191 0.442592i
\(421\) 28.8014 + 16.6285i 1.40369 + 0.810424i 0.994770 0.102144i \(-0.0325704\pi\)
0.408925 + 0.912568i \(0.365904\pi\)
\(422\) −0.856217 10.7701i −0.0416800 0.524282i
\(423\) −7.66158 4.42342i −0.372519 0.215074i
\(424\) −7.95666 8.34475i −0.386410 0.405257i
\(425\) 5.69360 0.276180
\(426\) −1.67417 0.796908i −0.0811136 0.0386103i
\(427\) 27.7437 16.0178i 1.34261 0.775157i
\(428\) −13.1340 + 34.3781i −0.634858 + 1.66173i
\(429\) 8.93330 0.431304
\(430\) −11.0951 + 23.3090i −0.535055 + 1.12406i
\(431\) −4.67046 8.08948i −0.224968 0.389656i 0.731342 0.682011i \(-0.238894\pi\)
−0.956310 + 0.292355i \(0.905561\pi\)
\(432\) −10.2356 9.15759i −0.492461 0.440595i
\(433\) −11.4412 + 6.60558i −0.549829 + 0.317444i −0.749053 0.662510i \(-0.769491\pi\)
0.199224 + 0.979954i \(0.436158\pi\)
\(434\) 1.92342 + 2.79384i 0.0923269 + 0.134109i
\(435\) 10.9576 + 6.32639i 0.525378 + 0.303327i
\(436\) 7.59718 6.17204i 0.363839 0.295587i
\(437\) −2.48071 12.1393i −0.118669 0.580702i
\(438\) 6.10703 + 2.90696i 0.291805 + 0.138900i
\(439\) −9.90270 + 17.1520i −0.472630 + 0.818619i −0.999509 0.0313210i \(-0.990029\pi\)
0.526879 + 0.849940i \(0.323362\pi\)
\(440\) 13.8806 47.2724i 0.661730 2.25362i
\(441\) 1.86131 + 3.22388i 0.0886336 + 0.153518i
\(442\) 2.37433 + 3.44881i 0.112935 + 0.164043i
\(443\) 8.86172 5.11632i 0.421033 0.243084i −0.274486 0.961591i \(-0.588508\pi\)
0.695519 + 0.718508i \(0.255174\pi\)
\(444\) 0.426480 0.346478i 0.0202399 0.0164431i
\(445\) 15.4186i 0.730914i
\(446\) 0.192423 + 2.42044i 0.00911150 + 0.114611i
\(447\) 2.44630 + 4.23711i 0.115706 + 0.200408i
\(448\) −8.66191 16.8020i −0.409237 0.793818i
\(449\) 9.69618i 0.457591i 0.973475 + 0.228795i \(0.0734787\pi\)
−0.973475 + 0.228795i \(0.926521\pi\)
\(450\) 1.51671 + 19.0782i 0.0714982 + 0.899357i
\(451\) 1.06092 1.83757i 0.0499567 0.0865276i
\(452\) −33.3232 12.7310i −1.56739 0.598817i
\(453\) 1.68993 2.92704i 0.0793997 0.137524i
\(454\) −20.1198 + 13.8514i −0.944269 + 0.650080i
\(455\) −20.1602 −0.945125
\(456\) −4.29440 + 6.17557i −0.201104 + 0.289198i
\(457\) −8.85003 −0.413987 −0.206993 0.978342i \(-0.566368\pi\)
−0.206993 + 0.978342i \(0.566368\pi\)
\(458\) −19.5626 + 13.4679i −0.914102 + 0.629312i
\(459\) −1.89800 + 3.28743i −0.0885911 + 0.153444i
\(460\) 16.9192 + 6.46391i 0.788860 + 0.301381i
\(461\) −4.85595 + 8.41075i −0.226164 + 0.391728i −0.956668 0.291181i \(-0.905952\pi\)
0.730504 + 0.682909i \(0.239285\pi\)
\(462\) 0.883394 + 11.1120i 0.0410992 + 0.516976i
\(463\) 38.4094i 1.78504i −0.451013 0.892518i \(-0.648937\pi\)
0.451013 0.892518i \(-0.351063\pi\)
\(464\) 25.4859 + 5.33281i 1.18315 + 0.247569i
\(465\) 0.986490 + 1.70865i 0.0457474 + 0.0792368i
\(466\) −0.372870 4.69024i −0.0172729 0.217271i
\(467\) 21.7838i 1.00803i 0.863694 + 0.504016i \(0.168145\pi\)
−0.863694 + 0.504016i \(0.831855\pi\)
\(468\) −10.9239 + 8.87467i −0.504955 + 0.410232i
\(469\) −17.4784 + 10.0911i −0.807076 + 0.465966i
\(470\) −8.60156 12.4941i −0.396760 0.576311i
\(471\) −0.869284 1.50564i −0.0400545 0.0693764i
\(472\) 37.0414 + 10.8764i 1.70497 + 0.500628i
\(473\) 15.6633 27.1296i 0.720198 1.24742i
\(474\) 8.68206 + 4.13269i 0.398780 + 0.189821i
\(475\) 21.9937 4.49448i 1.00914 0.206221i
\(476\) −4.05512 + 3.29443i −0.185866 + 0.151000i
\(477\) −9.27696 5.35605i −0.424763 0.245237i
\(478\) 3.87481 + 5.62833i 0.177230 + 0.257434i
\(479\) −10.5544 + 6.09359i −0.482243 + 0.278423i −0.721351 0.692570i \(-0.756478\pi\)
0.239108 + 0.970993i \(0.423145\pi\)
\(480\) −4.24802 10.1418i −0.193895 0.462907i
\(481\) −0.602978 1.04439i −0.0274934 0.0476200i
\(482\) −16.2667 + 34.1735i −0.740928 + 1.55656i
\(483\) −4.09786 −0.186459
\(484\) −13.4858 + 35.2988i −0.612990 + 1.60449i
\(485\) −2.04373 + 1.17995i −0.0928008 + 0.0535786i
\(486\) −17.6628 8.40756i −0.801202 0.381375i
\(487\) −27.8697 −1.26290 −0.631448 0.775418i \(-0.717539\pi\)
−0.631448 + 0.775418i \(0.717539\pi\)
\(488\) 27.7531 26.4624i 1.25632 1.19790i
\(489\) −4.54611 2.62470i −0.205582 0.118693i
\(490\) 0.505829 + 6.36269i 0.0228510 + 0.287437i
\(491\) −14.9996 8.66002i −0.676922 0.390821i 0.121772 0.992558i \(-0.461142\pi\)
−0.798694 + 0.601737i \(0.794476\pi\)
\(492\) −0.0748200 0.467597i −0.00337315 0.0210809i
\(493\) 7.19660i 0.324119i
\(494\) 11.8942 + 11.4480i 0.535145 + 0.515072i
\(495\) 45.7729i 2.05734i
\(496\) 3.02588 + 2.70719i 0.135866 + 0.121557i
\(497\) −4.39745 2.53887i −0.197253 0.113884i
\(498\) 3.56833 0.283679i 0.159901 0.0127120i
\(499\) −1.00693 0.581349i −0.0450762 0.0260248i 0.477293 0.878744i \(-0.341618\pi\)
−0.522369 + 0.852720i \(0.674952\pi\)
\(500\) −0.341038 + 0.892660i −0.0152517 + 0.0399210i
\(501\) −10.9889 −0.490946
\(502\) 8.94110 18.7837i 0.399061 0.838358i
\(503\) 11.1928 6.46214i 0.499060 0.288133i −0.229265 0.973364i \(-0.573632\pi\)
0.728325 + 0.685231i \(0.240299\pi\)
\(504\) −12.1193 12.7104i −0.539836 0.566166i
\(505\) 17.1944 0.765140
\(506\) −19.8453 9.44642i −0.882231 0.419944i
\(507\) 1.77791 + 3.07944i 0.0789599 + 0.136763i
\(508\) 19.1506 3.06428i 0.849670 0.135955i
\(509\) 25.6884 14.8312i 1.13862 0.657381i 0.192530 0.981291i \(-0.438331\pi\)
0.946088 + 0.323910i \(0.104998\pi\)
\(510\) −2.50320 + 1.72332i −0.110843 + 0.0763100i
\(511\) 16.0410 + 9.26130i 0.709614 + 0.409696i
\(512\) −14.8177 17.1008i −0.654855 0.755754i
\(513\) −4.73667 + 14.1972i −0.209129 + 0.626822i
\(514\) 6.14440 12.9083i 0.271018 0.569362i
\(515\) −12.0239 + 20.8259i −0.529834 + 0.917700i
\(516\) −1.10463 6.90354i −0.0486288 0.303911i
\(517\) 9.20365 + 15.9412i 0.404776 + 0.701093i
\(518\) 1.23947 0.853312i 0.0544592 0.0374924i
\(519\) −9.33962 + 5.39223i −0.409964 + 0.236693i
\(520\) −23.4517 + 5.68927i −1.02843 + 0.249491i
\(521\) 35.2430i 1.54402i 0.635608 + 0.772012i \(0.280749\pi\)
−0.635608 + 0.772012i \(0.719251\pi\)
\(522\) 24.1145 1.91709i 1.05546 0.0839086i
\(523\) 11.4242 + 19.7872i 0.499543 + 0.865234i 1.00000 0.000527203i \(-0.000167814\pi\)
−0.500457 + 0.865762i \(0.666834\pi\)
\(524\) 12.2177 9.92581i 0.533733 0.433611i
\(525\) 7.42439i 0.324027i
\(526\) −22.2532 + 1.76911i −0.970286 + 0.0771369i
\(527\) 0.561093 0.971841i 0.0244416 0.0423341i
\(528\) 4.16346 + 12.6769i 0.181191 + 0.551692i
\(529\) −7.46008 + 12.9212i −0.324351 + 0.561793i
\(530\) −10.4151 15.1284i −0.452404 0.657135i
\(531\) 35.8664 1.55647
\(532\) −13.0638 + 15.9271i −0.566389 + 0.690525i
\(533\) −1.03929 −0.0450168
\(534\) 2.36791 + 3.43949i 0.102470 + 0.148841i
\(535\) −29.3116 + 50.7692i −1.26725 + 2.19494i
\(536\) −17.4843 + 16.6712i −0.755206 + 0.720084i
\(537\) −4.56384 + 7.90481i −0.196944 + 0.341118i
\(538\) 0.103007 0.00818894i 0.00444093 0.000353050i
\(539\) 7.74551i 0.333623i
\(540\) −13.7952 16.9805i −0.593650 0.730725i
\(541\) −18.2188 31.5560i −0.783289 1.35670i −0.930016 0.367520i \(-0.880207\pi\)
0.146727 0.989177i \(-0.453126\pi\)
\(542\) −10.5559 + 0.839184i −0.453414 + 0.0360460i
\(543\) 10.6795i 0.458302i
\(544\) −3.78750 + 4.97667i −0.162388 + 0.213373i
\(545\) 13.5033 7.79616i 0.578420 0.333951i
\(546\) 4.49720 3.09609i 0.192463 0.132501i
\(547\) 14.8588 + 25.7362i 0.635317 + 1.10040i 0.986448 + 0.164075i \(0.0524638\pi\)
−0.351131 + 0.936326i \(0.614203\pi\)
\(548\) 21.0300 3.36500i 0.898357 0.143746i
\(549\) 17.8132 30.8534i 0.760250 1.31679i
\(550\) 17.1148 35.9551i 0.729776 1.53313i
\(551\) −5.68094 27.7996i −0.242016 1.18430i
\(552\) −4.76691 + 1.15643i −0.202893 + 0.0492208i
\(553\) 22.8048 + 13.1663i 0.969757 + 0.559889i
\(554\) 22.2004 15.2838i 0.943204 0.649347i
\(555\) 0.758033 0.437650i 0.0321767 0.0185772i
\(556\) 1.41054 + 8.81534i 0.0598202 + 0.373854i
\(557\) −2.98070 5.16273i −0.126296 0.218752i 0.795943 0.605372i \(-0.206976\pi\)
−0.922239 + 0.386620i \(0.873642\pi\)
\(558\) 3.40593 + 1.62123i 0.144185 + 0.0686323i
\(559\) −15.3440 −0.648982
\(560\) −9.39587 28.6086i −0.397048 1.20893i
\(561\) 3.19382 1.84395i 0.134843 0.0778517i
\(562\) 5.32225 11.1811i 0.224506 0.471647i
\(563\) 35.3916 1.49158 0.745789 0.666182i \(-0.232073\pi\)
0.745789 + 0.666182i \(0.232073\pi\)
\(564\) 3.83756 + 1.46613i 0.161590 + 0.0617350i
\(565\) −49.2113 28.4121i −2.07033 1.19531i
\(566\) 29.1925 2.32078i 1.22705 0.0975495i
\(567\) −11.8451 6.83880i −0.497449 0.287203i
\(568\) −5.83189 1.71241i −0.244701 0.0718512i
\(569\) 30.2541i 1.26832i 0.773203 + 0.634158i \(0.218653\pi\)
−0.773203 + 0.634158i \(0.781347\pi\)
\(570\) −8.30916 + 8.63298i −0.348032 + 0.361596i
\(571\) 25.4945i 1.06691i −0.845828 0.533456i \(-0.820893\pi\)
0.845828 0.533456i \(-0.179107\pi\)
\(572\) 28.9164 4.62690i 1.20906 0.193461i
\(573\) 9.85562 + 5.69015i 0.411725 + 0.237709i
\(574\) −0.102773 1.29276i −0.00428968 0.0539587i
\(575\) 12.6776 + 7.31941i 0.528692 + 0.305240i
\(576\) −17.6849 11.3655i −0.736870 0.473563i
\(577\) −12.0785 −0.502836 −0.251418 0.967879i \(-0.580897\pi\)
−0.251418 + 0.967879i \(0.580897\pi\)
\(578\) −20.1471 9.59007i −0.838008 0.398894i
\(579\) −3.93351 + 2.27102i −0.163471 + 0.0943802i
\(580\) 38.7457 + 14.8026i 1.60883 + 0.614646i
\(581\) 9.80296 0.406695
\(582\) 0.274691 0.577079i 0.0113863 0.0239207i
\(583\) 11.1442 + 19.3022i 0.461544 + 0.799417i
\(584\) 21.2736 + 6.24655i 0.880307 + 0.258484i
\(585\) −19.4162 + 11.2100i −0.802762 + 0.463475i
\(586\) 15.8744 + 23.0583i 0.655766 + 0.952528i
\(587\) 18.8754 + 10.8977i 0.779070 + 0.449796i 0.836101 0.548576i \(-0.184830\pi\)
−0.0570304 + 0.998372i \(0.518163\pi\)
\(588\) −1.08998 1.34166i −0.0449502 0.0553293i
\(589\) 1.40027 4.19702i 0.0576970 0.172935i
\(590\) 55.5265 + 26.4308i 2.28599 + 1.08814i
\(591\) 4.32408 7.48953i 0.177869 0.308078i
\(592\) 1.20103 1.34241i 0.0493620 0.0551728i
\(593\) −10.3212 17.8768i −0.423839 0.734111i 0.572472 0.819924i \(-0.305984\pi\)
−0.996311 + 0.0858135i \(0.972651\pi\)
\(594\) 15.0549 + 21.8678i 0.617708 + 0.897247i
\(595\) −7.20764 + 4.16133i −0.295484 + 0.170598i
\(596\) 10.1130 + 12.4482i 0.414246 + 0.509896i
\(597\) 4.09633i 0.167652i
\(598\) 0.853151 + 10.7316i 0.0348879 + 0.438846i
\(599\) 18.6426 + 32.2900i 0.761717 + 1.31933i 0.941965 + 0.335711i \(0.108977\pi\)
−0.180248 + 0.983621i \(0.557690\pi\)
\(600\) −2.09518 8.63655i −0.0855355 0.352586i
\(601\) 32.9087i 1.34238i −0.741287 0.671188i \(-0.765784\pi\)
0.741287 0.671188i \(-0.234216\pi\)
\(602\) −1.51733 19.0861i −0.0618418 0.777893i
\(603\) −11.2222 + 19.4375i −0.457005 + 0.791556i
\(604\) 3.95413 10.3499i 0.160891 0.421131i
\(605\) −30.0965 + 52.1287i −1.22360 + 2.11933i
\(606\) −3.83561 + 2.64062i −0.155811 + 0.107268i
\(607\) −43.4094 −1.76193 −0.880966 0.473180i \(-0.843106\pi\)
−0.880966 + 0.473180i \(0.843106\pi\)
\(608\) −10.7021 + 22.2141i −0.434027 + 0.900900i
\(609\) −9.38428 −0.380270
\(610\) 50.3142 34.6387i 2.03716 1.40248i
\(611\) 4.50802 7.80813i 0.182375 0.315883i
\(612\) −2.07363 + 5.42768i −0.0838214 + 0.219401i
\(613\) −23.0269 + 39.8838i −0.930048 + 1.61089i −0.146814 + 0.989164i \(0.546902\pi\)
−0.783234 + 0.621727i \(0.786431\pi\)
\(614\) 1.00326 + 12.6197i 0.0404882 + 0.509290i
\(615\) 0.754334i 0.0304177i
\(616\) 8.61480 + 35.5111i 0.347100 + 1.43078i
\(617\) −4.97177 8.61136i −0.200156 0.346680i 0.748423 0.663222i \(-0.230812\pi\)
−0.948579 + 0.316542i \(0.897478\pi\)
\(618\) −0.516130 6.49227i −0.0207618 0.261157i
\(619\) 4.75114i 0.190964i −0.995431 0.0954822i \(-0.969561\pi\)
0.995431 0.0954822i \(-0.0304393\pi\)
\(620\) 4.07817 + 5.01983i 0.163783 + 0.201601i
\(621\) −8.45232 + 4.87995i −0.339180 + 0.195826i
\(622\) −0.200028 0.290549i −0.00802038 0.0116499i
\(623\) 5.71783 + 9.90358i 0.229080 + 0.396778i
\(624\) 4.35773 4.87071i 0.174449 0.194984i
\(625\) 12.1138 20.9818i 0.484553 0.839270i
\(626\) −30.3107 14.4280i −1.21146 0.576658i
\(627\) 10.8817 9.64413i 0.434574 0.385149i
\(628\) −3.59364 4.42342i −0.143402 0.176514i
\(629\) −0.431151 0.248925i −0.0171911 0.00992530i
\(630\) −15.8639 23.0430i −0.632033 0.918054i
\(631\) −17.8068 + 10.2807i −0.708876 + 0.409270i −0.810645 0.585538i \(-0.800883\pi\)
0.101769 + 0.994808i \(0.467550\pi\)
\(632\) 30.2436 + 8.88041i 1.20303 + 0.353244i
\(633\) 2.33052 + 4.03657i 0.0926297 + 0.160439i
\(634\) 10.2723 21.5803i 0.407964 0.857062i
\(635\) 30.8940 1.22599
\(636\) 4.64667 + 1.77524i 0.184252 + 0.0703930i
\(637\) −3.28554 + 1.89691i −0.130178 + 0.0751582i
\(638\) −45.4466 21.6327i −1.79925 0.856448i
\(639\) −5.64689 −0.223388
\(640\) −19.0033 30.6279i −0.751173 1.21067i
\(641\) 33.0540 + 19.0838i 1.30556 + 0.753763i 0.981351 0.192223i \(-0.0615698\pi\)
0.324205 + 0.945987i \(0.394903\pi\)
\(642\) −1.25822 15.8268i −0.0496578 0.624633i
\(643\) −18.5705 10.7217i −0.732350 0.422822i 0.0869313 0.996214i \(-0.472294\pi\)
−0.819281 + 0.573392i \(0.805627\pi\)
\(644\) −13.2644 + 2.12244i −0.522692 + 0.0836358i
\(645\) 11.1369i 0.438515i
\(646\) 6.61542 + 1.63776i 0.260280 + 0.0644370i
\(647\) 23.8222i 0.936547i −0.883583 0.468274i \(-0.844876\pi\)
0.883583 0.468274i \(-0.155124\pi\)
\(648\) −15.7090 4.61262i −0.617108 0.181201i
\(649\) −64.6280 37.3130i −2.53687 1.46466i
\(650\) −19.4432 + 1.54571i −0.762623 + 0.0606279i
\(651\) −1.26727 0.731658i −0.0496682 0.0286759i
\(652\) −16.0748 6.14133i −0.629539 0.240513i
\(653\) 16.6726 0.652450 0.326225 0.945292i \(-0.394223\pi\)
0.326225 + 0.945292i \(0.394223\pi\)
\(654\) −1.81494 + 3.81288i −0.0709699 + 0.149096i
\(655\) 21.7159 12.5377i 0.848512 0.489888i
\(656\) −0.484373 1.47482i −0.0189116 0.0575821i
\(657\) 20.5988 0.803634
\(658\) 10.1582 + 4.83533i 0.396007 + 0.188501i
\(659\) −7.26163 12.5775i −0.282873 0.489950i 0.689218 0.724554i \(-0.257954\pi\)
−0.972091 + 0.234604i \(0.924621\pi\)
\(660\) 3.35827 + 20.9879i 0.130721 + 0.816955i
\(661\) 19.7070 11.3778i 0.766513 0.442547i −0.0651162 0.997878i \(-0.520742\pi\)
0.831629 + 0.555331i \(0.187408\pi\)
\(662\) −11.3273 + 7.79825i −0.440247 + 0.303087i
\(663\) −1.56436 0.903182i −0.0607546 0.0350767i
\(664\) 11.4035 2.76642i 0.442540 0.107358i
\(665\) −24.5573 + 21.7644i −0.952290 + 0.843985i
\(666\) 0.719251 1.51102i 0.0278704 0.0585509i
\(667\) 9.25159 16.0242i 0.358223 0.620461i
\(668\) −35.5701 + 5.69155i −1.37625 + 0.220213i
\(669\) −0.523752 0.907165i −0.0202494 0.0350730i
\(670\) −31.6977 + 21.8222i −1.22459 + 0.843065i
\(671\) −64.1957 + 37.0634i −2.47825 + 1.43082i
\(672\) 6.48952 + 4.93885i 0.250339 + 0.190520i
\(673\) 11.1598i 0.430180i 0.976594 + 0.215090i \(0.0690044\pi\)
−0.976594 + 0.215090i \(0.930996\pi\)
\(674\) −13.4201 + 1.06689i −0.516924 + 0.0410950i
\(675\) −8.84136 15.3137i −0.340304 0.589424i
\(676\) 7.34993 + 9.04704i 0.282689 + 0.347963i
\(677\) 36.0612i 1.38594i 0.720965 + 0.692972i \(0.243699\pi\)
−0.720965 + 0.692972i \(0.756301\pi\)
\(678\) 15.3411 1.21961i 0.589172 0.0468387i
\(679\) 0.875139 1.51579i 0.0335848 0.0581705i
\(680\) −7.21007 + 6.87476i −0.276494 + 0.263635i
\(681\) 5.26902 9.12621i 0.201909 0.349717i
\(682\) −4.45056 6.46462i −0.170421 0.247543i
\(683\) −15.5917 −0.596598 −0.298299 0.954472i \(-0.596419\pi\)
−0.298299 + 0.954472i \(0.596419\pi\)
\(684\) −3.72559 + 22.6034i −0.142451 + 0.864261i
\(685\) 33.9259 1.29624
\(686\) −15.9489 23.1664i −0.608931 0.884497i
\(687\) 5.12311 8.87348i 0.195459 0.338544i
\(688\) −7.15122 21.7741i −0.272638 0.830129i
\(689\) 5.45850 9.45440i 0.207952 0.360184i
\(690\) −7.78913 + 0.619229i −0.296527 + 0.0235737i
\(691\) 22.9437i 0.872818i −0.899748 0.436409i \(-0.856250\pi\)
0.899748 0.436409i \(-0.143750\pi\)
\(692\) −27.4388 + 22.2916i −1.04307 + 0.847399i
\(693\) 16.9744 + 29.4004i 0.644802 + 1.11683i
\(694\) 25.9267 2.06115i 0.984163 0.0782402i
\(695\) 14.2210i 0.539435i
\(696\) −10.9164 + 2.64827i −0.413786 + 0.100382i
\(697\) −0.371566 + 0.214524i −0.0140741 + 0.00812567i
\(698\) −6.82691 + 4.69998i −0.258403 + 0.177897i
\(699\) 1.01491 + 1.75787i 0.0383873 + 0.0664887i
\(700\) −3.84538 24.0322i −0.145342 0.908330i
\(701\) −9.13435 + 15.8212i −0.345000 + 0.597557i −0.985354 0.170523i \(-0.945454\pi\)
0.640354 + 0.768080i \(0.278788\pi\)
\(702\) 5.58903 11.7416i 0.210944 0.443157i
\(703\) −1.86198 0.621220i −0.0702260 0.0234297i
\(704\) 20.0427 + 38.8778i 0.755386 + 1.46526i
\(705\) 5.66725 + 3.27199i 0.213441 + 0.123230i
\(706\) 15.1231 10.4115i 0.569166 0.391842i
\(707\) −11.0442 + 6.37634i −0.415358 + 0.239807i
\(708\) −16.4456 + 2.63145i −0.618063 + 0.0988961i
\(709\) −17.4758 30.2690i −0.656318 1.13678i −0.981562 0.191146i \(-0.938780\pi\)
0.325244 0.945630i \(-0.394554\pi\)
\(710\) −8.74224 4.16133i −0.328090 0.156172i
\(711\) 29.2842 1.09824
\(712\) 9.44619 + 9.90692i 0.354011 + 0.371278i
\(713\) 2.49870 1.44262i 0.0935770 0.0540267i
\(714\) 0.968758 2.03519i 0.0362548 0.0761651i
\(715\) 46.6483 1.74455
\(716\) −10.6786 + 27.9510i −0.399078 + 1.04458i
\(717\) −2.55297 1.47396i −0.0953425 0.0550460i
\(718\) −48.0498 + 3.81992i −1.79320 + 0.142558i
\(719\) 3.07635 + 1.77613i 0.114728 + 0.0662385i 0.556266 0.831004i \(-0.312234\pi\)
−0.441538 + 0.897243i \(0.645567\pi\)
\(720\) −24.9568 22.3283i −0.930084 0.832127i
\(721\) 17.8356i 0.664234i
\(722\) 26.8474 + 1.10432i 0.999155 + 0.0410985i
\(723\) 16.3279i 0.607241i
\(724\) −5.53134 34.5688i −0.205571 1.28474i
\(725\) 29.0323 + 16.7618i 1.07823 + 0.622517i
\(726\) −1.29191 16.2506i −0.0479473 0.603116i
\(727\) −6.15483 3.55349i −0.228270 0.131792i 0.381504 0.924367i \(-0.375406\pi\)
−0.609774 + 0.792576i \(0.708740\pi\)
\(728\) 12.9535 12.3511i 0.480089 0.457762i
\(729\) −8.92615 −0.330598
\(730\) 31.8900 + 15.1797i 1.18030 + 0.561827i
\(731\) −5.48575 + 3.16720i −0.202898 + 0.117143i
\(732\) −5.90413 + 15.4540i −0.218223 + 0.571195i
\(733\) −15.8748 −0.586350 −0.293175 0.956059i \(-0.594712\pi\)
−0.293175 + 0.956059i \(0.594712\pi\)
\(734\) −7.94226 + 16.6853i −0.293154 + 0.615866i
\(735\) −1.37680 2.38469i −0.0507842 0.0879607i
\(736\) −14.8311 + 6.21223i −0.546683 + 0.228986i
\(737\) 40.4429 23.3497i 1.48973 0.860098i
\(738\) −0.817811 1.18791i −0.0301041 0.0437274i
\(739\) −16.0186 9.24836i −0.589255 0.340206i 0.175548 0.984471i \(-0.443830\pi\)
−0.764803 + 0.644264i \(0.777164\pi\)
\(740\) 2.22702 1.80925i 0.0818667 0.0665095i
\(741\) −6.75588 2.25399i −0.248184 0.0828023i
\(742\) 12.2999 + 5.85481i 0.451545 + 0.214937i
\(743\) −7.00831 + 12.1387i −0.257110 + 0.445328i −0.965466 0.260527i \(-0.916104\pi\)
0.708357 + 0.705855i \(0.249437\pi\)
\(744\) −1.68065 0.493487i −0.0616156 0.0180921i
\(745\) 12.7742 + 22.1255i 0.468010 + 0.810617i
\(746\) 9.53945 + 13.8565i 0.349264 + 0.507321i
\(747\) 9.44119 5.45087i 0.345435 0.199437i
\(748\) 9.38308 7.62293i 0.343079 0.278722i
\(749\) 43.4795i 1.58871i
\(750\) −0.0326707 0.410957i −0.00119297 0.0150060i
\(751\) −10.3122 17.8612i −0.376297 0.651765i 0.614223 0.789132i \(-0.289469\pi\)
−0.990520 + 0.137367i \(0.956136\pi\)
\(752\) 13.1812 + 2.75811i 0.480670 + 0.100578i
\(753\) 8.97475i 0.327058i
\(754\) 1.95375 + 24.5758i 0.0711515 + 0.894997i
\(755\) 8.82454 15.2846i 0.321158 0.556262i
\(756\) 15.1578 + 5.79100i 0.551285 + 0.210617i
\(757\) 12.5598 21.7543i 0.456495 0.790672i −0.542278 0.840199i \(-0.682438\pi\)
0.998773 + 0.0495268i \(0.0157713\pi\)
\(758\) 10.4104 7.16704i 0.378123 0.260319i
\(759\) 9.48196 0.344173
\(760\) −22.4247 + 32.2479i −0.813430 + 1.16975i
\(761\) 7.58718 0.275035 0.137518 0.990499i \(-0.456088\pi\)
0.137518 + 0.990499i \(0.456088\pi\)
\(762\) −6.89163 + 4.74453i −0.249657 + 0.171876i
\(763\) −5.78224 + 10.0151i −0.209331 + 0.362572i
\(764\) 34.8490 + 13.3139i 1.26079 + 0.481682i
\(765\) −4.62777 + 8.01553i −0.167317 + 0.289802i
\(766\) −1.37718 17.3232i −0.0497596 0.625913i
\(767\) 36.5524i 1.31983i
\(768\) 8.94281 + 3.91385i 0.322696 + 0.141229i
\(769\) −10.2413 17.7384i −0.369309 0.639663i 0.620148 0.784485i \(-0.287072\pi\)
−0.989458 + 0.144822i \(0.953739\pi\)
\(770\) 4.61295 + 58.0251i 0.166239 + 2.09108i
\(771\) 6.16752i 0.222118i
\(772\) −11.5562 + 9.38842i −0.415918 + 0.337897i
\(773\) 16.5528 9.55676i 0.595363 0.343733i −0.171852 0.985123i \(-0.554975\pi\)