Properties

Label 392.2.z.a.37.14
Level $392$
Weight $2$
Character 392.37
Analytic conductor $3.130$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 392 = 2^{3} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 392.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.13013575923\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 37.14
Character \(\chi\) \(=\) 392.37
Dual form 392.2.z.a.53.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.05324 + 0.943763i) q^{2} +(-1.08411 - 1.16839i) q^{3} +(0.218622 - 1.98802i) q^{4} +(0.529378 - 1.71620i) q^{5} +(2.24451 + 0.207452i) q^{6} +(-2.34752 + 1.22032i) q^{7} +(1.64596 + 2.30018i) q^{8} +(0.0343439 - 0.458288i) q^{9} +O(q^{10})\) \(q+(-1.05324 + 0.943763i) q^{2} +(-1.08411 - 1.16839i) q^{3} +(0.218622 - 1.98802i) q^{4} +(0.529378 - 1.71620i) q^{5} +(2.24451 + 0.207452i) q^{6} +(-2.34752 + 1.22032i) q^{7} +(1.64596 + 2.30018i) q^{8} +(0.0343439 - 0.458288i) q^{9} +(1.06213 + 2.30718i) q^{10} +(4.71137 - 0.353068i) q^{11} +(-2.55979 + 1.89979i) q^{12} +(0.558298 - 1.15932i) q^{13} +(1.32080 - 3.50078i) q^{14} +(-2.57910 + 1.24203i) q^{15} +(-3.90441 - 0.869246i) q^{16} +(-3.60762 - 0.543762i) q^{17} +(0.396343 + 0.515099i) q^{18} +(-4.74129 - 2.73738i) q^{19} +(-3.29610 - 1.42761i) q^{20} +(3.97077 + 1.41986i) q^{21} +(-4.62898 + 4.81828i) q^{22} +(-7.55176 + 1.13824i) q^{23} +(0.903116 - 4.41676i) q^{24} +(1.46609 + 0.999561i) q^{25} +(0.506101 + 1.74794i) q^{26} +(-4.31111 + 3.43799i) q^{27} +(1.91279 + 4.93368i) q^{28} +(-6.72404 - 5.36224i) q^{29} +(1.54422 - 3.74221i) q^{30} +(-0.368485 - 0.638234i) q^{31} +(4.93264 - 2.76931i) q^{32} +(-5.52016 - 5.12196i) q^{33} +(4.31287 - 2.83203i) q^{34} +(0.851585 + 4.67482i) q^{35} +(-0.903575 - 0.168468i) q^{36} +(6.57534 - 2.58063i) q^{37} +(7.57715 - 1.59154i) q^{38} +(-1.95979 + 0.604515i) q^{39} +(4.81891 - 1.60713i) q^{40} +(-1.11229 - 4.87325i) q^{41} +(-5.52218 + 2.25201i) q^{42} +(0.167094 + 0.0381381i) q^{43} +(0.328102 - 9.44346i) q^{44} +(-0.768333 - 0.301549i) q^{45} +(6.87957 - 8.32592i) q^{46} +(-8.06065 + 5.49566i) q^{47} +(3.21718 + 5.50423i) q^{48} +(4.02166 - 5.72942i) q^{49} +(-2.48749 + 0.330863i) q^{50} +(3.27573 + 4.80461i) q^{51} +(-2.18268 - 1.36336i) q^{52} +(-1.16683 - 0.457945i) q^{53} +(1.29597 - 7.68969i) q^{54} +(1.88816 - 8.27257i) q^{55} +(-6.67085 - 3.39113i) q^{56} +(1.94174 + 8.50730i) q^{57} +(12.1427 - 0.698183i) q^{58} +(0.0541481 + 0.175544i) q^{59} +(1.90532 + 5.39882i) q^{60} +(-6.56223 + 2.57549i) q^{61} +(0.990444 + 0.324450i) q^{62} +(0.478633 + 1.11775i) q^{63} +(-2.58166 + 7.57199i) q^{64} +(-1.69407 - 1.57187i) q^{65} +(10.6480 + 0.184919i) q^{66} +(10.3484 - 5.97464i) q^{67} +(-1.86971 + 7.05313i) q^{68} +(9.51684 + 7.58943i) q^{69} +(-5.30884 - 4.12000i) q^{70} +(8.89597 + 11.1552i) q^{71} +(1.11067 - 0.675324i) q^{72} +(3.14522 + 2.14437i) q^{73} +(-4.48990 + 8.92359i) q^{74} +(-0.421519 - 2.79659i) q^{75} +(-6.47851 + 8.82730i) q^{76} +(-10.6292 + 6.57819i) q^{77} +(1.49361 - 2.48628i) q^{78} +(-0.347223 + 0.601408i) q^{79} +(-3.55871 + 6.24059i) q^{80} +(7.32731 + 1.10441i) q^{81} +(5.77070 + 4.08296i) q^{82} +(-5.85761 - 12.1635i) q^{83} +(3.69080 - 7.58353i) q^{84} +(-2.84300 + 5.90355i) q^{85} +(-0.211983 + 0.117529i) q^{86} +(1.02439 + 13.6696i) q^{87} +(8.56682 + 10.2559i) q^{88} +(0.439562 - 5.86555i) q^{89} +(1.09383 - 0.407522i) q^{90} +(0.104120 + 3.40282i) q^{91} +(0.611870 + 15.2619i) q^{92} +(-0.346229 + 1.12245i) q^{93} +(3.30318 - 13.3956i) q^{94} +(-7.20784 + 6.68790i) q^{95} +(-8.58315 - 2.76101i) q^{96} +14.1075 q^{97} +(1.17145 + 9.82994i) q^{98} -2.17129i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9} - 6 q^{10} - 47 q^{12} - 33 q^{14} - 8 q^{15} - 17 q^{16} - 26 q^{17} - 8 q^{18} - 22 q^{20} - 18 q^{22} - 26 q^{23} - 74 q^{24} - 72 q^{25} - 12 q^{26} + 2 q^{28} - 11 q^{30} + 60 q^{31} - 13 q^{32} - 14 q^{33} - 18 q^{34} + 8 q^{36} - 46 q^{38} - 32 q^{39} + 32 q^{40} - 20 q^{41} - 36 q^{42} + 38 q^{44} - 22 q^{46} - 58 q^{47} + 28 q^{48} - 16 q^{49} - 132 q^{50} + 18 q^{52} - 37 q^{54} - 32 q^{55} + 96 q^{56} - 66 q^{57} + 100 q^{60} + 28 q^{62} - 72 q^{63} - 28 q^{64} - 36 q^{65} - 4 q^{66} - 11 q^{68} - 36 q^{70} + 60 q^{71} - 130 q^{72} - 18 q^{73} - 12 q^{74} + 11 q^{76} - 132 q^{78} - 12 q^{79} - 64 q^{80} - 58 q^{81} + 152 q^{82} - 224 q^{84} + 55 q^{86} - 8 q^{87} - 169 q^{88} - 18 q^{89} + 144 q^{90} - 54 q^{92} + 154 q^{94} - 64 q^{95} - 142 q^{96} - 96 q^{97} + 151 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(297\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{16}{21}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.05324 + 0.943763i −0.744752 + 0.667341i
\(3\) −1.08411 1.16839i −0.625910 0.674571i 0.337893 0.941184i \(-0.390286\pi\)
−0.963803 + 0.266614i \(0.914095\pi\)
\(4\) 0.218622 1.98802i 0.109311 0.994008i
\(5\) 0.529378 1.71620i 0.236745 0.767509i −0.756757 0.653696i \(-0.773217\pi\)
0.993502 0.113813i \(-0.0363063\pi\)
\(6\) 2.24451 + 0.207452i 0.916317 + 0.0846920i
\(7\) −2.34752 + 1.22032i −0.887277 + 0.461236i
\(8\) 1.64596 + 2.30018i 0.581933 + 0.813237i
\(9\) 0.0343439 0.458288i 0.0114480 0.152763i
\(10\) 1.06213 + 2.30718i 0.335874 + 0.729593i
\(11\) 4.71137 0.353068i 1.42053 0.106454i 0.657811 0.753183i \(-0.271482\pi\)
0.762720 + 0.646729i \(0.223863\pi\)
\(12\) −2.55979 + 1.89979i −0.738947 + 0.548422i
\(13\) 0.558298 1.15932i 0.154844 0.321537i −0.809087 0.587689i \(-0.800038\pi\)
0.963931 + 0.266152i \(0.0857523\pi\)
\(14\) 1.32080 3.50078i 0.353000 0.935623i
\(15\) −2.57910 + 1.24203i −0.665920 + 0.320690i
\(16\) −3.90441 0.869246i −0.976102 0.217312i
\(17\) −3.60762 0.543762i −0.874977 0.131882i −0.303827 0.952727i \(-0.598265\pi\)
−0.571150 + 0.820846i \(0.693503\pi\)
\(18\) 0.396343 + 0.515099i 0.0934189 + 0.121410i
\(19\) −4.74129 2.73738i −1.08773 0.627999i −0.154756 0.987953i \(-0.549459\pi\)
−0.932970 + 0.359954i \(0.882793\pi\)
\(20\) −3.29610 1.42761i −0.737031 0.319223i
\(21\) 3.97077 + 1.41986i 0.866492 + 0.309839i
\(22\) −4.62898 + 4.81828i −0.986902 + 1.02726i
\(23\) −7.55176 + 1.13824i −1.57465 + 0.237340i −0.877497 0.479581i \(-0.840789\pi\)
−0.697154 + 0.716922i \(0.745550\pi\)
\(24\) 0.903116 4.41676i 0.184348 0.901568i
\(25\) 1.46609 + 0.999561i 0.293217 + 0.199912i
\(26\) 0.506101 + 1.74794i 0.0992545 + 0.342799i
\(27\) −4.31111 + 3.43799i −0.829673 + 0.661642i
\(28\) 1.91279 + 4.93368i 0.361483 + 0.932379i
\(29\) −6.72404 5.36224i −1.24862 0.995744i −0.999629 0.0272387i \(-0.991329\pi\)
−0.248994 0.968505i \(-0.580100\pi\)
\(30\) 1.54422 3.74221i 0.281935 0.683231i
\(31\) −0.368485 0.638234i −0.0661818 0.114630i 0.831036 0.556219i \(-0.187748\pi\)
−0.897218 + 0.441589i \(0.854415\pi\)
\(32\) 4.93264 2.76931i 0.871975 0.489550i
\(33\) −5.52016 5.12196i −0.960936 0.891618i
\(34\) 4.31287 2.83203i 0.739651 0.485690i
\(35\) 0.851585 + 4.67482i 0.143944 + 0.790189i
\(36\) −0.903575 0.168468i −0.150596 0.0280780i
\(37\) 6.57534 2.58063i 1.08098 0.424253i 0.243040 0.970016i \(-0.421855\pi\)
0.837940 + 0.545763i \(0.183760\pi\)
\(38\) 7.57715 1.59154i 1.22918 0.258181i
\(39\) −1.95979 + 0.604515i −0.313818 + 0.0967999i
\(40\) 4.81891 1.60713i 0.761936 0.254109i
\(41\) −1.11229 4.87325i −0.173710 0.761074i −0.984450 0.175667i \(-0.943792\pi\)
0.810740 0.585407i \(-0.199065\pi\)
\(42\) −5.52218 + 2.25201i −0.852090 + 0.347493i
\(43\) 0.167094 + 0.0381381i 0.0254816 + 0.00581601i 0.235243 0.971937i \(-0.424411\pi\)
−0.209761 + 0.977753i \(0.567269\pi\)
\(44\) 0.328102 9.44346i 0.0494632 1.42366i
\(45\) −0.768333 0.301549i −0.114536 0.0449522i
\(46\) 6.87957 8.32592i 1.01434 1.22759i
\(47\) −8.06065 + 5.49566i −1.17577 + 0.801624i −0.983711 0.179760i \(-0.942468\pi\)
−0.192056 + 0.981384i \(0.561516\pi\)
\(48\) 3.21718 + 5.50423i 0.464360 + 0.794467i
\(49\) 4.02166 5.72942i 0.574523 0.818489i
\(50\) −2.48749 + 0.330863i −0.351784 + 0.0467911i
\(51\) 3.27573 + 4.80461i 0.458694 + 0.672780i
\(52\) −2.18268 1.36336i −0.302684 0.189064i
\(53\) −1.16683 0.457945i −0.160276 0.0629036i 0.283847 0.958870i \(-0.408389\pi\)
−0.444123 + 0.895966i \(0.646485\pi\)
\(54\) 1.29597 7.68969i 0.176359 1.04643i
\(55\) 1.88816 8.27257i 0.254599 1.11547i
\(56\) −6.67085 3.39113i −0.891430 0.453158i
\(57\) 1.94174 + 8.50730i 0.257189 + 1.12682i
\(58\) 12.1427 0.698183i 1.59442 0.0916759i
\(59\) 0.0541481 + 0.175544i 0.00704949 + 0.0228539i 0.959029 0.283307i \(-0.0914316\pi\)
−0.951980 + 0.306161i \(0.900955\pi\)
\(60\) 1.90532 + 5.39882i 0.245976 + 0.696984i
\(61\) −6.56223 + 2.57549i −0.840208 + 0.329757i −0.746124 0.665807i \(-0.768087\pi\)
−0.0940839 + 0.995564i \(0.529992\pi\)
\(62\) 0.990444 + 0.324450i 0.125786 + 0.0412052i
\(63\) 0.478633 + 1.11775i 0.0603021 + 0.140823i
\(64\) −2.58166 + 7.57199i −0.322708 + 0.946499i
\(65\) −1.69407 1.57187i −0.210124 0.194966i
\(66\) 10.6480 + 0.184919i 1.31067 + 0.0227620i
\(67\) 10.3484 5.97464i 1.26426 0.729919i 0.290361 0.956917i \(-0.406224\pi\)
0.973895 + 0.226998i \(0.0728911\pi\)
\(68\) −1.86971 + 7.05313i −0.226736 + 0.855318i
\(69\) 9.51684 + 7.58943i 1.14569 + 0.913660i
\(70\) −5.30884 4.12000i −0.634528 0.492435i
\(71\) 8.89597 + 11.1552i 1.05576 + 1.32388i 0.943929 + 0.330150i \(0.107099\pi\)
0.111828 + 0.993728i \(0.464329\pi\)
\(72\) 1.11067 0.675324i 0.130894 0.0795877i
\(73\) 3.14522 + 2.14437i 0.368120 + 0.250980i 0.733225 0.679986i \(-0.238014\pi\)
−0.365105 + 0.930967i \(0.618967\pi\)
\(74\) −4.48990 + 8.92359i −0.521940 + 1.03735i
\(75\) −0.421519 2.79659i −0.0486728 0.322923i
\(76\) −6.47851 + 8.82730i −0.743136 + 1.01256i
\(77\) −10.6292 + 6.57819i −1.21130 + 0.749654i
\(78\) 1.49361 2.48628i 0.169118 0.281516i
\(79\) −0.347223 + 0.601408i −0.0390657 + 0.0676637i −0.884897 0.465786i \(-0.845771\pi\)
0.845831 + 0.533450i \(0.179105\pi\)
\(80\) −3.55871 + 6.24059i −0.397876 + 0.697720i
\(81\) 7.32731 + 1.10441i 0.814146 + 0.122713i
\(82\) 5.77070 + 4.08296i 0.637267 + 0.450887i
\(83\) −5.85761 12.1635i −0.642956 1.33511i −0.926551 0.376168i \(-0.877241\pi\)
0.283595 0.958944i \(-0.408473\pi\)
\(84\) 3.69080 7.58353i 0.402699 0.827431i
\(85\) −2.84300 + 5.90355i −0.308367 + 0.640330i
\(86\) −0.211983 + 0.117529i −0.0228587 + 0.0126735i
\(87\) 1.02439 + 13.6696i 0.109826 + 1.46553i
\(88\) 8.56682 + 10.2559i 0.913226 + 1.09328i
\(89\) 0.439562 5.86555i 0.0465935 0.621747i −0.924212 0.381879i \(-0.875277\pi\)
0.970806 0.239867i \(-0.0771040\pi\)
\(90\) 1.09383 0.407522i 0.115300 0.0429566i
\(91\) 0.104120 + 3.40282i 0.0109148 + 0.356712i
\(92\) 0.611870 + 15.2619i 0.0637919 + 1.59116i
\(93\) −0.346229 + 1.12245i −0.0359023 + 0.116392i
\(94\) 3.30318 13.3956i 0.340697 1.38165i
\(95\) −7.20784 + 6.68790i −0.739509 + 0.686164i
\(96\) −8.58315 2.76101i −0.876014 0.281794i
\(97\) 14.1075 1.43240 0.716200 0.697895i \(-0.245880\pi\)
0.716200 + 0.697895i \(0.245880\pi\)
\(98\) 1.17145 + 9.82994i 0.118334 + 0.992974i
\(99\) 2.17129i 0.218223i
\(100\) 2.30766 2.69608i 0.230766 0.269608i
\(101\) −5.65948 6.09947i −0.563139 0.606920i 0.385721 0.922615i \(-0.373953\pi\)
−0.948861 + 0.315695i \(0.897762\pi\)
\(102\) −7.98454 1.96889i −0.790587 0.194949i
\(103\) −3.45678 1.06628i −0.340607 0.105063i 0.119733 0.992806i \(-0.461796\pi\)
−0.460340 + 0.887743i \(0.652272\pi\)
\(104\) 3.58557 0.623999i 0.351594 0.0611881i
\(105\) 4.53880 6.06299i 0.442942 0.591687i
\(106\) 1.66114 0.618882i 0.161344 0.0601111i
\(107\) −16.9460 1.26993i −1.63824 0.122769i −0.776497 0.630121i \(-0.783005\pi\)
−0.861739 + 0.507352i \(0.830624\pi\)
\(108\) 5.89228 + 9.32217i 0.566985 + 0.897026i
\(109\) −5.34912 + 0.400861i −0.512353 + 0.0383955i −0.328399 0.944539i \(-0.606509\pi\)
−0.183954 + 0.982935i \(0.558890\pi\)
\(110\) 5.81866 + 10.4950i 0.554788 + 1.00066i
\(111\) −10.1436 4.88488i −0.962785 0.463653i
\(112\) 10.2264 2.72404i 0.966306 0.257398i
\(113\) 0.136045 0.0655158i 0.0127980 0.00616320i −0.427474 0.904028i \(-0.640596\pi\)
0.440272 + 0.897865i \(0.354882\pi\)
\(114\) −10.0740 7.12767i −0.943515 0.667568i
\(115\) −2.04428 + 13.5629i −0.190630 + 1.26475i
\(116\) −12.1302 + 12.1952i −1.12626 + 1.13230i
\(117\) −0.512127 0.295677i −0.0473462 0.0273353i
\(118\) −0.222703 0.133787i −0.0205015 0.0123161i
\(119\) 9.13251 3.12595i 0.837176 0.286555i
\(120\) −7.10197 3.88807i −0.648318 0.354930i
\(121\) 11.1952 1.68741i 1.01775 0.153400i
\(122\) 4.48095 8.90580i 0.405686 0.806293i
\(123\) −4.48802 + 6.58271i −0.404671 + 0.593543i
\(124\) −1.34938 + 0.593021i −0.121178 + 0.0532549i
\(125\) 9.51238 7.58587i 0.850813 0.678501i
\(126\) −1.55900 0.725539i −0.138887 0.0646361i
\(127\) 7.58090 9.50614i 0.672696 0.843534i −0.321963 0.946752i \(-0.604343\pi\)
0.994659 + 0.103218i \(0.0329141\pi\)
\(128\) −4.42706 10.4116i −0.391300 0.920263i
\(129\) −0.136588 0.236577i −0.0120259 0.0208295i
\(130\) 3.26773 + 0.0567496i 0.286599 + 0.00497727i
\(131\) 13.9506 15.0352i 1.21887 1.31363i 0.283925 0.958847i \(-0.408363\pi\)
0.934948 0.354786i \(-0.115446\pi\)
\(132\) −11.3894 + 9.85438i −0.991316 + 0.857714i
\(133\) 14.4707 + 0.640183i 1.25477 + 0.0555109i
\(134\) −5.26067 + 16.0592i −0.454452 + 1.38730i
\(135\) 3.61809 + 9.21873i 0.311395 + 0.793422i
\(136\) −4.68724 9.19319i −0.401927 0.788310i
\(137\) −2.48412 + 0.766250i −0.212233 + 0.0654651i −0.399048 0.916930i \(-0.630659\pi\)
0.186816 + 0.982395i \(0.440183\pi\)
\(138\) −17.1861 + 0.988170i −1.46298 + 0.0841186i
\(139\) 13.2218 3.01779i 1.12146 0.255965i 0.378695 0.925521i \(-0.376373\pi\)
0.742761 + 0.669556i \(0.233516\pi\)
\(140\) 9.47979 0.670947i 0.801188 0.0567053i
\(141\) 15.1597 + 3.46010i 1.27668 + 0.291393i
\(142\) −19.8974 3.35338i −1.66976 0.281410i
\(143\) 2.22103 5.65909i 0.185732 0.473237i
\(144\) −0.532458 + 1.75949i −0.0443715 + 0.146624i
\(145\) −12.7623 + 8.70116i −1.05985 + 0.722592i
\(146\) −5.33645 + 0.709806i −0.441648 + 0.0587439i
\(147\) −11.0541 + 1.51244i −0.911728 + 0.124744i
\(148\) −3.69282 13.6361i −0.303548 1.12088i
\(149\) 5.73660 + 8.41404i 0.469960 + 0.689305i 0.985903 0.167318i \(-0.0535106\pi\)
−0.515943 + 0.856623i \(0.672558\pi\)
\(150\) 3.08328 + 2.54767i 0.251749 + 0.208016i
\(151\) −1.52307 + 3.88071i −0.123945 + 0.315808i −0.979356 0.202143i \(-0.935210\pi\)
0.855411 + 0.517950i \(0.173305\pi\)
\(152\) −1.50747 15.4114i −0.122272 1.25003i
\(153\) −0.373099 + 1.63466i −0.0301633 + 0.132154i
\(154\) 4.98678 16.9598i 0.401846 1.36666i
\(155\) −1.29041 + 0.294527i −0.103648 + 0.0236570i
\(156\) 0.773333 + 4.02825i 0.0619162 + 0.322518i
\(157\) 0.368243 + 1.19382i 0.0293890 + 0.0952768i 0.969079 0.246750i \(-0.0793627\pi\)
−0.939690 + 0.342027i \(0.888887\pi\)
\(158\) −0.201878 0.961123i −0.0160606 0.0764628i
\(159\) 0.729906 + 1.85977i 0.0578853 + 0.147489i
\(160\) −2.14147 9.93141i −0.169298 0.785147i
\(161\) 16.3389 11.8876i 1.28768 0.936873i
\(162\) −8.75971 + 5.75203i −0.688228 + 0.451923i
\(163\) 8.82868 9.51506i 0.691516 0.745277i −0.285515 0.958374i \(-0.592165\pi\)
0.977031 + 0.213097i \(0.0683551\pi\)
\(164\) −9.93126 + 1.14585i −0.775501 + 0.0894756i
\(165\) −11.7126 + 6.76225i −0.911821 + 0.526440i
\(166\) 17.6489 + 7.28282i 1.36982 + 0.565256i
\(167\) 11.4133 14.3119i 0.883191 1.10749i −0.110337 0.993894i \(-0.535193\pi\)
0.993528 0.113592i \(-0.0362356\pi\)
\(168\) 3.26977 + 11.4705i 0.252268 + 0.884969i
\(169\) 7.07305 + 8.86932i 0.544081 + 0.682255i
\(170\) −2.57720 8.90097i −0.197662 0.682673i
\(171\) −1.41734 + 2.07886i −0.108387 + 0.158975i
\(172\) 0.112350 0.323848i 0.00856658 0.0246932i
\(173\) 3.33164 + 22.1040i 0.253300 + 1.68054i 0.647932 + 0.761698i \(0.275634\pi\)
−0.394632 + 0.918839i \(0.629128\pi\)
\(174\) −13.9798 13.4305i −1.05980 1.01817i
\(175\) −4.66144 0.557396i −0.352372 0.0421352i
\(176\) −18.7020 2.71682i −1.40972 0.204788i
\(177\) 0.146401 0.253575i 0.0110042 0.0190598i
\(178\) 5.07272 + 6.59266i 0.380217 + 0.494141i
\(179\) 0.565149 3.74952i 0.0422412 0.280252i −0.957731 0.287664i \(-0.907121\pi\)
0.999973 + 0.00741200i \(0.00235934\pi\)
\(180\) −0.767458 + 1.46153i −0.0572029 + 0.108936i
\(181\) −2.17360 4.51353i −0.161563 0.335488i 0.804434 0.594041i \(-0.202468\pi\)
−0.965997 + 0.258553i \(0.916754\pi\)
\(182\) −3.32112 3.48571i −0.246178 0.258378i
\(183\) 10.1233 + 4.87515i 0.748339 + 0.360381i
\(184\) −15.0480 15.4969i −1.10936 1.14245i
\(185\) −0.948042 12.6507i −0.0697014 0.930101i
\(186\) −0.694664 1.50896i −0.0509352 0.110643i
\(187\) −17.1888 1.28812i −1.25697 0.0941970i
\(188\) 9.16322 + 17.2262i 0.668296 + 1.25635i
\(189\) 5.92496 13.3317i 0.430977 0.969736i
\(190\) 1.27978 13.8464i 0.0928450 1.00453i
\(191\) −9.41485 2.90410i −0.681234 0.210133i −0.0652235 0.997871i \(-0.520776\pi\)
−0.616011 + 0.787738i \(0.711252\pi\)
\(192\) 11.6458 5.19246i 0.840466 0.374734i
\(193\) 0.106231 0.0985677i 0.00764665 0.00709506i −0.676340 0.736589i \(-0.736435\pi\)
0.683987 + 0.729494i \(0.260245\pi\)
\(194\) −14.8586 + 13.3141i −1.06678 + 0.955900i
\(195\) 3.68341i 0.263775i
\(196\) −10.5110 9.24769i −0.750782 0.660550i
\(197\) 4.71073i 0.335626i −0.985819 0.167813i \(-0.946330\pi\)
0.985819 0.167813i \(-0.0536705\pi\)
\(198\) 2.04918 + 2.28688i 0.145629 + 0.162522i
\(199\) 4.52487 4.19846i 0.320759 0.297621i −0.503315 0.864103i \(-0.667886\pi\)
0.824074 + 0.566482i \(0.191696\pi\)
\(200\) 0.113942 + 5.01750i 0.00805693 + 0.354791i
\(201\) −18.1995 5.61380i −1.28369 0.395967i
\(202\) 11.7172 + 1.08298i 0.824422 + 0.0761985i
\(203\) 22.3284 + 4.38250i 1.56715 + 0.307591i
\(204\) 10.2678 5.46181i 0.718889 0.382403i
\(205\) −8.95230 0.670882i −0.625256 0.0468564i
\(206\) 4.64713 2.13934i 0.323781 0.149055i
\(207\) 0.262287 + 3.49997i 0.0182302 + 0.243265i
\(208\) −3.18756 + 4.04115i −0.221017 + 0.280203i
\(209\) −23.3044 11.2228i −1.61200 0.776299i
\(210\) 0.941587 + 10.6693i 0.0649757 + 0.736254i
\(211\) −3.58316 7.44050i −0.246675 0.512225i 0.740463 0.672097i \(-0.234606\pi\)
−0.987138 + 0.159872i \(0.948892\pi\)
\(212\) −1.16550 + 2.21955i −0.0800466 + 0.152439i
\(213\) 3.38943 22.4874i 0.232240 1.54081i
\(214\) 19.0467 14.6555i 1.30201 1.00183i
\(215\) 0.153909 0.266578i 0.0104965 0.0181805i
\(216\) −15.0039 4.25754i −1.02089 0.289689i
\(217\) 1.64387 + 1.04860i 0.111593 + 0.0711834i
\(218\) 5.25558 5.47051i 0.355953 0.370510i
\(219\) −0.904291 5.99958i −0.0611063 0.405414i
\(220\) −16.0332 5.56225i −1.08096 0.375007i
\(221\) −2.64452 + 3.87880i −0.177890 + 0.260916i
\(222\) 15.2938 4.42818i 1.02645 0.297200i
\(223\) −11.3319 14.2097i −0.758838 0.951553i 0.240982 0.970530i \(-0.422530\pi\)
−0.999820 + 0.0189770i \(0.993959\pi\)
\(224\) −8.20000 + 12.5204i −0.547886 + 0.836553i
\(225\) 0.508438 0.637561i 0.0338959 0.0425041i
\(226\) −0.0814563 + 0.197398i −0.00541839 + 0.0131307i
\(227\) −10.0579 + 5.80694i −0.667567 + 0.385420i −0.795154 0.606407i \(-0.792610\pi\)
0.127587 + 0.991827i \(0.459277\pi\)
\(228\) 17.3371 2.00032i 1.14818 0.132474i
\(229\) 3.23859 3.49037i 0.214012 0.230650i −0.616918 0.787028i \(-0.711619\pi\)
0.830929 + 0.556378i \(0.187809\pi\)
\(230\) −10.6471 16.2143i −0.702046 1.06914i
\(231\) 19.2091 + 5.28754i 1.26386 + 0.347894i
\(232\) 1.26666 24.2925i 0.0831603 1.59488i
\(233\) 8.83993 + 22.5238i 0.579123 + 1.47558i 0.857180 + 0.515017i \(0.172214\pi\)
−0.278057 + 0.960565i \(0.589690\pi\)
\(234\) 0.818440 0.171909i 0.0535031 0.0112380i
\(235\) 5.16453 + 16.7430i 0.336897 + 1.09219i
\(236\) 0.360822 0.0692696i 0.0234875 0.00450907i
\(237\) 1.07911 0.246299i 0.0700956 0.0159989i
\(238\) −6.66856 + 11.9113i −0.432258 + 0.772095i
\(239\) 4.58150 20.0729i 0.296352 1.29841i −0.579162 0.815213i \(-0.696620\pi\)
0.875514 0.483192i \(-0.160523\pi\)
\(240\) 11.1495 2.60751i 0.719696 0.168314i
\(241\) −5.28494 + 13.4658i −0.340433 + 0.867409i 0.653450 + 0.756970i \(0.273321\pi\)
−0.993883 + 0.110439i \(0.964774\pi\)
\(242\) −10.1987 + 12.3429i −0.655598 + 0.793429i
\(243\) 2.66543 + 3.90946i 0.170987 + 0.250792i
\(244\) 3.68546 + 13.6089i 0.235937 + 0.871219i
\(245\) −7.70386 9.93501i −0.492182 0.634724i
\(246\) −1.48557 11.1688i −0.0947166 0.712096i
\(247\) −5.82055 + 3.96838i −0.370353 + 0.252502i
\(248\) 0.861544 1.89809i 0.0547081 0.120529i
\(249\) −7.86138 + 20.0305i −0.498195 + 1.26938i
\(250\) −2.85954 + 16.9672i −0.180853 + 1.07310i
\(251\) 14.9926 + 3.42195i 0.946322 + 0.215992i 0.667718 0.744414i \(-0.267271\pi\)
0.278604 + 0.960406i \(0.410128\pi\)
\(252\) 2.32674 0.707166i 0.146571 0.0445472i
\(253\) −35.1773 + 8.02898i −2.21158 + 0.504778i
\(254\) 0.987059 + 17.1668i 0.0619336 + 1.07714i
\(255\) 9.97978 3.07835i 0.624958 0.192774i
\(256\) 14.4888 + 6.78779i 0.905551 + 0.424237i
\(257\) −5.74227 14.6311i −0.358193 0.912661i −0.990446 0.137899i \(-0.955965\pi\)
0.632253 0.774762i \(-0.282130\pi\)
\(258\) 0.367132 + 0.120265i 0.0228567 + 0.00748740i
\(259\) −12.2865 + 14.0821i −0.763448 + 0.875017i
\(260\) −3.49526 + 3.02420i −0.216767 + 0.187553i
\(261\) −2.68838 + 2.89739i −0.166407 + 0.179344i
\(262\) −0.503664 + 29.0018i −0.0311165 + 1.79173i
\(263\) −6.77977 11.7429i −0.418059 0.724099i 0.577685 0.816259i \(-0.303956\pi\)
−0.995744 + 0.0921605i \(0.970623\pi\)
\(264\) 2.69550 21.1279i 0.165896 1.30033i
\(265\) −1.40362 + 1.76008i −0.0862236 + 0.108121i
\(266\) −15.8453 + 12.9827i −0.971538 + 0.796019i
\(267\) −7.32978 + 5.84531i −0.448575 + 0.357727i
\(268\) −9.61530 21.8789i −0.587348 1.33647i
\(269\) −0.673944 + 0.988494i −0.0410911 + 0.0602695i −0.846235 0.532810i \(-0.821136\pi\)
0.805144 + 0.593080i \(0.202088\pi\)
\(270\) −12.5110 6.29490i −0.761396 0.383096i
\(271\) 12.5924 1.89801i 0.764936 0.115296i 0.245026 0.969516i \(-0.421203\pi\)
0.519910 + 0.854221i \(0.325965\pi\)
\(272\) 13.6130 + 5.25898i 0.825408 + 0.318873i
\(273\) 3.86294 3.81067i 0.233796 0.230632i
\(274\) 1.89321 3.15147i 0.114373 0.190387i
\(275\) 7.26019 + 4.19167i 0.437806 + 0.252767i
\(276\) 17.1685 17.2604i 1.03342 1.03895i
\(277\) 3.17141 21.0409i 0.190552 1.26423i −0.665131 0.746726i \(-0.731624\pi\)
0.855683 0.517501i \(-0.173137\pi\)
\(278\) −11.0776 + 15.6567i −0.664391 + 0.939025i
\(279\) −0.305150 + 0.146953i −0.0182689 + 0.00879782i
\(280\) −9.35126 + 9.65334i −0.558845 + 0.576897i
\(281\) −4.99644 2.40616i −0.298063 0.143540i 0.278875 0.960327i \(-0.410038\pi\)
−0.576938 + 0.816788i \(0.695753\pi\)
\(282\) −19.2323 + 10.6629i −1.14527 + 0.634964i
\(283\) 17.5354 1.31410i 1.04237 0.0781149i 0.457474 0.889223i \(-0.348754\pi\)
0.584896 + 0.811108i \(0.301135\pi\)
\(284\) 24.1215 15.2465i 1.43135 0.904716i
\(285\) 15.6282 + 1.17117i 0.925732 + 0.0693740i
\(286\) 3.00157 + 8.05650i 0.177486 + 0.476391i
\(287\) 8.55801 + 10.0827i 0.505164 + 0.595162i
\(288\) −1.09974 2.35568i −0.0648026 0.138810i
\(289\) −3.52547 1.08746i −0.207380 0.0639684i
\(290\) 5.22986 21.2089i 0.307108 1.24543i
\(291\) −15.2941 16.4831i −0.896554 0.966255i
\(292\) 4.95066 5.78394i 0.289716 0.338479i
\(293\) 3.23255i 0.188847i 0.995532 + 0.0944237i \(0.0301008\pi\)
−0.995532 + 0.0944237i \(0.969899\pi\)
\(294\) 10.2152 12.0254i 0.595764 0.701337i
\(295\) 0.329934 0.0192095
\(296\) 16.7586 + 10.8769i 0.974076 + 0.632205i
\(297\) −19.0974 + 17.7198i −1.10814 + 1.02821i
\(298\) −13.9829 3.44800i −0.810006 0.199737i
\(299\) −2.89655 + 9.39037i −0.167512 + 0.543059i
\(300\) −5.65183 + 0.226590i −0.326308 + 0.0130822i
\(301\) −0.438797 + 0.114378i −0.0252918 + 0.00659262i
\(302\) −2.05832 5.52473i −0.118443 0.317912i
\(303\) −0.991074 + 13.2250i −0.0569357 + 0.759755i
\(304\) 16.1325 + 14.8092i 0.925261 + 0.849367i
\(305\) 0.946152 + 12.6255i 0.0541765 + 0.722935i
\(306\) −1.14976 2.07380i −0.0657277 0.118551i
\(307\) −13.2248 + 27.4615i −0.754777 + 1.56731i 0.0671668 + 0.997742i \(0.478604\pi\)
−0.821944 + 0.569569i \(0.807110\pi\)
\(308\) 10.7538 + 22.5691i 0.612754 + 1.28599i
\(309\) 2.50170 + 5.19483i 0.142317 + 0.295524i
\(310\) 1.08114 1.52804i 0.0614047 0.0867871i
\(311\) 4.24097 + 0.639223i 0.240483 + 0.0362470i 0.268178 0.963369i \(-0.413578\pi\)
−0.0276946 + 0.999616i \(0.508817\pi\)
\(312\) −4.61622 3.51287i −0.261342 0.198877i
\(313\) 10.8903 18.8625i 0.615556 1.06617i −0.374731 0.927134i \(-0.622265\pi\)
0.990287 0.139041i \(-0.0444019\pi\)
\(314\) −1.51453 0.909837i −0.0854697 0.0513451i
\(315\) 2.17166 0.229719i 0.122359 0.0129432i
\(316\) 1.11970 + 0.821766i 0.0629880 + 0.0462280i
\(317\) 0.828649 + 5.49772i 0.0465415 + 0.308783i 0.999974 + 0.00717713i \(0.00228457\pi\)
−0.953433 + 0.301606i \(0.902477\pi\)
\(318\) −2.52395 1.26992i −0.141536 0.0712137i
\(319\) −33.5727 22.8895i −1.87971 1.28156i
\(320\) 11.6284 + 8.43910i 0.650046 + 0.471760i
\(321\) 16.8876 + 21.1763i 0.942572 + 1.18195i
\(322\) −5.98965 + 27.9405i −0.333790 + 1.55706i
\(323\) 15.6163 + 12.4536i 0.868914 + 0.692936i
\(324\) 3.79750 14.3254i 0.210972 0.795853i
\(325\) 1.97732 1.14161i 0.109682 0.0633250i
\(326\) −0.318745 + 18.3538i −0.0176536 + 1.01652i
\(327\) 6.26739 + 5.81529i 0.346587 + 0.321586i
\(328\) 9.37858 10.5796i 0.517845 0.584161i
\(329\) 12.2161 22.7377i 0.673493 1.25357i
\(330\) 5.95415 18.1761i 0.327765 1.00056i
\(331\) −9.19726 + 3.60966i −0.505527 + 0.198405i −0.604378 0.796697i \(-0.706578\pi\)
0.0988511 + 0.995102i \(0.468483\pi\)
\(332\) −25.4617 + 8.98582i −1.39739 + 0.493161i
\(333\) −0.956849 3.10203i −0.0524350 0.169990i
\(334\) 1.48606 + 25.8453i 0.0813134 + 1.41419i
\(335\) −4.77548 20.9228i −0.260913 1.14313i
\(336\) −14.2693 8.99529i −0.778453 0.490733i
\(337\) −5.25632 + 23.0295i −0.286330 + 1.25449i 0.603190 + 0.797598i \(0.293896\pi\)
−0.889520 + 0.456897i \(0.848961\pi\)
\(338\) −15.8201 2.66623i −0.860502 0.145024i
\(339\) −0.224035 0.0879274i −0.0121679 0.00477556i
\(340\) 11.1148 + 6.94258i 0.602785 + 0.376514i
\(341\) −1.96141 2.87686i −0.106216 0.155790i
\(342\) −0.469153 3.52718i −0.0253689 0.190728i
\(343\) −2.44921 + 18.3576i −0.132245 + 0.991217i
\(344\) 0.187305 + 0.447120i 0.0100988 + 0.0241071i
\(345\) 18.0630 12.3151i 0.972479 0.663025i
\(346\) −24.3700 20.1365i −1.31014 1.08255i
\(347\) −13.5950 5.33566i −0.729820 0.286433i −0.0288100 0.999585i \(-0.509172\pi\)
−0.701010 + 0.713152i \(0.747267\pi\)
\(348\) 27.3992 + 0.951954i 1.46875 + 0.0510301i
\(349\) −2.20321 0.502869i −0.117935 0.0269179i 0.163146 0.986602i \(-0.447836\pi\)
−0.281081 + 0.959684i \(0.590693\pi\)
\(350\) 5.43566 3.81223i 0.290548 0.203772i
\(351\) 1.57884 + 6.91737i 0.0842725 + 0.369222i
\(352\) 22.2617 14.7888i 1.18655 0.788247i
\(353\) −12.6017 + 3.88711i −0.670722 + 0.206890i −0.611368 0.791347i \(-0.709380\pi\)
−0.0593540 + 0.998237i \(0.518904\pi\)
\(354\) 0.0851189 + 0.405243i 0.00452402 + 0.0215384i
\(355\) 23.8539 9.36196i 1.26603 0.496881i
\(356\) −11.5647 2.15619i −0.612928 0.114278i
\(357\) −13.5530 7.28148i −0.717299 0.385377i
\(358\) 2.94342 + 4.48251i 0.155565 + 0.236908i
\(359\) 16.4052 + 15.2218i 0.865834 + 0.803377i 0.981808 0.189875i \(-0.0608084\pi\)
−0.115974 + 0.993252i \(0.536999\pi\)
\(360\) −0.571026 2.26364i −0.0300957 0.119304i
\(361\) 5.48655 + 9.50298i 0.288766 + 0.500157i
\(362\) 6.54902 + 2.70246i 0.344209 + 0.142038i
\(363\) −14.1084 11.2510i −0.740497 0.590526i
\(364\) 6.78761 + 0.536936i 0.355768 + 0.0281431i
\(365\) 5.34519 4.26265i 0.279780 0.223117i
\(366\) −15.2633 + 4.41935i −0.797824 + 0.231003i
\(367\) 14.7949 + 10.0870i 0.772288 + 0.526537i 0.884159 0.467186i \(-0.154732\pi\)
−0.111871 + 0.993723i \(0.535684\pi\)
\(368\) 30.4746 + 2.12017i 1.58860 + 0.110521i
\(369\) −2.27155 + 0.342381i −0.118252 + 0.0178237i
\(370\) 12.9378 + 12.4295i 0.672605 + 0.646180i
\(371\) 3.29798 0.348862i 0.171223 0.0181120i
\(372\) 2.15575 + 0.933701i 0.111770 + 0.0484101i
\(373\) −0.355138 0.205039i −0.0183884 0.0106165i 0.490778 0.871285i \(-0.336713\pi\)
−0.509166 + 0.860668i \(0.670046\pi\)
\(374\) 19.3196 14.8655i 0.998994 0.768676i
\(375\) −19.1757 2.89027i −0.990229 0.149253i
\(376\) −25.9085 9.49534i −1.33613 0.489685i
\(377\) −9.97056 + 4.80157i −0.513510 + 0.247293i
\(378\) 6.34154 + 19.6332i 0.326174 + 1.00982i
\(379\) 7.45061 15.4714i 0.382712 0.794710i −0.617256 0.786762i \(-0.711756\pi\)
0.999968 0.00794794i \(-0.00252994\pi\)
\(380\) 11.7199 + 15.7914i 0.601216 + 0.810082i
\(381\) −19.3254 + 1.44824i −0.990070 + 0.0741955i
\(382\) 12.6569 5.82668i 0.647581 0.298119i
\(383\) 0.169421 2.26077i 0.00865701 0.115520i −0.991201 0.132364i \(-0.957743\pi\)
0.999858 + 0.0168448i \(0.00536211\pi\)
\(384\) −7.36539 + 16.4598i −0.375863 + 0.839962i
\(385\) 5.66266 + 21.7241i 0.288596 + 1.10716i
\(386\) −0.0188617 + 0.204072i −0.000960034 + 0.0103870i
\(387\) 0.0232169 0.0752674i 0.00118018 0.00382606i
\(388\) 3.08420 28.0459i 0.156577 1.42382i
\(389\) 13.5528 + 14.6064i 0.687152 + 0.740574i 0.976231 0.216731i \(-0.0695396\pi\)
−0.289079 + 0.957305i \(0.593349\pi\)
\(390\) −3.47627 3.87951i −0.176028 0.196447i
\(391\) 27.8628 1.40908
\(392\) 19.7982 0.179827i 0.999959 0.00908263i
\(393\) −32.6910 −1.64904
\(394\) 4.44582 + 4.96152i 0.223977 + 0.249958i
\(395\) 0.848326 + 0.914278i 0.0426839 + 0.0460023i
\(396\) −4.31656 0.474691i −0.216915 0.0238541i
\(397\) 7.69881 24.9589i 0.386392 1.25265i −0.528492 0.848938i \(-0.677242\pi\)
0.914885 0.403715i \(-0.132281\pi\)
\(398\) −0.803408 + 8.69239i −0.0402712 + 0.435710i
\(399\) −14.9398 17.6015i −0.747928 0.881177i
\(400\) −4.85534 5.17709i −0.242767 0.258854i
\(401\) −1.56320 + 20.8594i −0.0780623 + 1.04167i 0.811349 + 0.584562i \(0.198734\pi\)
−0.889411 + 0.457108i \(0.848885\pi\)
\(402\) 24.4665 11.2633i 1.22028 0.561764i
\(403\) −0.945640 + 0.0708659i −0.0471057 + 0.00353008i
\(404\) −13.3631 + 9.91766i −0.664840 + 0.493422i
\(405\) 5.77432 11.9905i 0.286928 0.595812i
\(406\) −27.6532 + 16.4569i −1.37240 + 0.816744i
\(407\) 30.0677 14.4799i 1.49040 0.717740i
\(408\) −5.65977 + 15.4429i −0.280200 + 0.764539i
\(409\) −34.7495 5.23764i −1.71825 0.258985i −0.785333 0.619074i \(-0.787508\pi\)
−0.932918 + 0.360089i \(0.882746\pi\)
\(410\) 10.0621 7.74225i 0.496930 0.382363i
\(411\) 3.58833 + 2.07173i 0.176999 + 0.102191i
\(412\) −2.87550 + 6.63903i −0.141666 + 0.327081i
\(413\) −0.341333 0.346014i −0.0167959 0.0170263i
\(414\) −3.57940 3.43877i −0.175918 0.169006i
\(415\) −23.9758 + 3.61377i −1.17693 + 0.177393i
\(416\) −0.456635 7.26459i −0.0223884 0.356176i
\(417\) −17.8598 12.1766i −0.874598 0.596291i
\(418\) 35.1368 10.1736i 1.71860 0.497606i
\(419\) 11.1334 8.87857i 0.543901 0.433746i −0.312605 0.949883i \(-0.601202\pi\)
0.856506 + 0.516137i \(0.172630\pi\)
\(420\) −11.0610 10.3487i −0.539724 0.504966i
\(421\) 21.1272 + 16.8484i 1.02968 + 0.821139i 0.984063 0.177820i \(-0.0569046\pi\)
0.0456124 + 0.998959i \(0.485476\pi\)
\(422\) 10.7960 + 4.45497i 0.525540 + 0.216864i
\(423\) 2.24176 + 3.88284i 0.108998 + 0.188790i
\(424\) −0.867186 3.43767i −0.0421143 0.166948i
\(425\) −4.74557 4.40324i −0.230194 0.213589i
\(426\) 17.6529 + 26.8834i 0.855286 + 1.30251i
\(427\) 12.2620 14.0540i 0.593402 0.680120i
\(428\) −6.22941 + 33.4114i −0.301110 + 1.61500i
\(429\) −9.01986 + 3.54004i −0.435483 + 0.170915i
\(430\) 0.0894837 + 0.426023i 0.00431529 + 0.0205447i
\(431\) −5.66735 + 1.74814i −0.272986 + 0.0842052i −0.428226 0.903672i \(-0.640861\pi\)
0.155239 + 0.987877i \(0.450385\pi\)
\(432\) 19.8208 9.67592i 0.953629 0.465533i
\(433\) 3.66833 + 16.0720i 0.176289 + 0.772371i 0.983323 + 0.181867i \(0.0582140\pi\)
−0.807034 + 0.590504i \(0.798929\pi\)
\(434\) −2.72101 + 0.447002i −0.130613 + 0.0214568i
\(435\) 24.0020 + 5.47830i 1.15081 + 0.262665i
\(436\) −0.372515 + 10.7218i −0.0178402 + 0.513480i
\(437\) 38.9209 + 15.2753i 1.86184 + 0.730718i
\(438\) 6.61462 + 5.46555i 0.316059 + 0.261154i
\(439\) 2.23769 1.52563i 0.106799 0.0728145i −0.508743 0.860919i \(-0.669890\pi\)
0.615542 + 0.788104i \(0.288937\pi\)
\(440\) 22.1362 9.27317i 1.05530 0.442081i
\(441\) −2.48760 2.03985i −0.118457 0.0971356i
\(442\) −0.875359 6.58110i −0.0416366 0.313031i
\(443\) −22.9280 33.6292i −1.08934 1.59777i −0.755510 0.655137i \(-0.772611\pi\)
−0.333831 0.942633i \(-0.608342\pi\)
\(444\) −11.9288 + 19.0976i −0.566117 + 0.906333i
\(445\) −9.83377 3.85947i −0.466165 0.182956i
\(446\) 25.3458 + 4.27161i 1.20016 + 0.202267i
\(447\) 3.61180 15.8243i 0.170832 0.748464i
\(448\) −3.17972 20.9258i −0.150228 0.988651i
\(449\) −0.333083 1.45933i −0.0157192 0.0688702i 0.966460 0.256817i \(-0.0826738\pi\)
−0.982179 + 0.187947i \(0.939817\pi\)
\(450\) 0.0662004 + 1.15135i 0.00312072 + 0.0542751i
\(451\) −6.96099 22.5670i −0.327780 1.06264i
\(452\) −0.100504 0.284782i −0.00472731 0.0133950i
\(453\) 6.18536 2.42757i 0.290613 0.114057i
\(454\) 5.11300 15.6084i 0.239965 0.732538i
\(455\) 5.89504 + 1.62268i 0.276364 + 0.0760726i
\(456\) −16.3723 + 18.4690i −0.766704 + 0.864889i
\(457\) −0.414336 0.384448i −0.0193818 0.0179837i 0.670422 0.741980i \(-0.266113\pi\)
−0.689804 + 0.723996i \(0.742303\pi\)
\(458\) −0.116924 + 6.73265i −0.00546348 + 0.314596i
\(459\) 17.4223 10.0588i 0.813204 0.469503i
\(460\) 26.5163 + 7.02920i 1.23633 + 0.327738i
\(461\) −14.0152 11.1768i −0.652754 0.520554i 0.240187 0.970727i \(-0.422791\pi\)
−0.892942 + 0.450172i \(0.851363\pi\)
\(462\) −25.2219 + 12.5598i −1.17343 + 0.584333i
\(463\) −6.61157 8.29064i −0.307266 0.385299i 0.604092 0.796915i \(-0.293536\pi\)
−0.911357 + 0.411616i \(0.864965\pi\)
\(464\) 21.5923 + 26.7812i 1.00240 + 1.24329i
\(465\) 1.74306 + 1.18840i 0.0808325 + 0.0551107i
\(466\) −30.5677 15.3801i −1.41602 0.712469i
\(467\) 1.69306 + 11.2327i 0.0783454 + 0.519788i 0.993238 + 0.116092i \(0.0370366\pi\)
−0.914893 + 0.403696i \(0.867725\pi\)
\(468\) −0.699772 + 0.953475i −0.0323470 + 0.0440744i
\(469\) −17.0020 + 26.6539i −0.785082 + 1.23076i
\(470\) −21.2409 12.7603i −0.979769 0.588587i
\(471\) 0.995627 1.72448i 0.0458761 0.0794597i
\(472\) −0.314657 + 0.413488i −0.0144833 + 0.0190323i
\(473\) 0.800707 + 0.120687i 0.0368166 + 0.00554920i
\(474\) −0.904109 + 1.27783i −0.0415271 + 0.0586929i
\(475\) −4.21496 8.75245i −0.193396 0.401590i
\(476\) −4.21787 18.8390i −0.193326 0.863483i
\(477\) −0.249944 + 0.519014i −0.0114442 + 0.0237640i
\(478\) 14.1186 + 25.4653i 0.645770 + 1.16476i
\(479\) 0.162667 + 2.17064i 0.00743244 + 0.0991790i 0.999686 0.0250481i \(-0.00797390\pi\)
−0.992254 + 0.124227i \(0.960355\pi\)
\(480\) −9.28218 + 13.2688i −0.423672 + 0.605635i
\(481\) 0.679228 9.06367i 0.0309701 0.413268i
\(482\) −7.14223 19.1704i −0.325320 0.873189i
\(483\) −31.6024 6.20275i −1.43796 0.282235i
\(484\) −0.907074 22.6251i −0.0412306 1.02842i
\(485\) 7.46820 24.2113i 0.339114 1.09938i
\(486\) −6.49694 1.60206i −0.294707 0.0726711i
\(487\) 13.8737 12.8729i 0.628678 0.583328i −0.300126 0.953900i \(-0.597029\pi\)
0.928804 + 0.370572i \(0.120838\pi\)
\(488\) −16.7252 10.8552i −0.757116 0.491391i
\(489\) −20.6886 −0.935569
\(490\) 17.4903 + 3.19331i 0.790131 + 0.144259i
\(491\) 27.3837i 1.23581i 0.786252 + 0.617905i \(0.212019\pi\)
−0.786252 + 0.617905i \(0.787981\pi\)
\(492\) 12.1054 + 10.3614i 0.545752 + 0.467127i
\(493\) 21.3420 + 23.0012i 0.961197 + 1.03592i
\(494\) 2.38521 9.67288i 0.107316 0.435203i
\(495\) −3.72637 1.14943i −0.167488 0.0516632i
\(496\) 0.883932 + 2.81223i 0.0396897 + 0.126273i
\(497\) −34.4963 15.3311i −1.54737 0.687693i
\(498\) −10.6241 28.5161i −0.476078 1.27784i
\(499\) −15.9456 1.19496i −0.713822 0.0534935i −0.287131 0.957891i \(-0.592702\pi\)
−0.426690 + 0.904398i \(0.640321\pi\)
\(500\) −13.0012 20.5692i −0.581432 0.919882i
\(501\) −29.0952 + 2.18038i −1.29988 + 0.0974122i
\(502\) −19.0202 + 10.5453i −0.848915 + 0.470659i
\(503\) −36.6694 17.6590i −1.63501 0.787378i −0.999888 0.0149632i \(-0.995237\pi\)
−0.635119 0.772415i \(-0.719049\pi\)
\(504\) −1.78321 + 2.94071i −0.0794307 + 0.130989i
\(505\) −13.4639 + 6.48389i −0.599137 + 0.288529i
\(506\) 29.4726 41.6554i 1.31022 1.85181i
\(507\) 2.69488 17.8794i 0.119684 0.794051i
\(508\) −17.2410 17.1492i −0.764946 0.760872i
\(509\) −16.0286 9.25412i −0.710455 0.410182i 0.100774 0.994909i \(-0.467868\pi\)
−0.811230 + 0.584728i \(0.801201\pi\)
\(510\) −7.60585 + 12.6608i −0.336793 + 0.560629i
\(511\) −10.0003 1.19579i −0.442386 0.0528987i
\(512\) −21.6662 + 6.52486i −0.957522 + 0.288361i
\(513\) 29.8513 4.49936i 1.31797 0.198652i
\(514\) 19.8562 + 9.99065i 0.875821 + 0.440669i
\(515\) −3.65989 + 5.36807i −0.161274 + 0.236546i
\(516\) −0.500180 + 0.219818i −0.0220192 + 0.00967694i
\(517\) −36.0364 + 28.7380i −1.58488 + 1.26390i
\(518\) −0.349491 26.4274i −0.0153558 1.16115i
\(519\) 22.2143 27.8558i 0.975098 1.22273i
\(520\) 0.827216 6.48390i 0.0362758 0.284338i
\(521\) −11.2513 19.4879i −0.492930 0.853780i 0.507037 0.861924i \(-0.330741\pi\)
−0.999967 + 0.00814475i \(0.997407\pi\)
\(522\) 0.0970594 5.58883i 0.00424817 0.244617i
\(523\) −19.5192 + 21.0367i −0.853515 + 0.919871i −0.997568 0.0696993i \(-0.977796\pi\)
0.144053 + 0.989570i \(0.453986\pi\)
\(524\) −26.8403 31.0211i −1.17252 1.35516i
\(525\) 4.40225 + 6.05066i 0.192130 + 0.264073i
\(526\) 18.2232 + 5.96958i 0.794571 + 0.260286i
\(527\) 0.982306 + 2.50288i 0.0427899 + 0.109027i
\(528\) 17.1007 + 24.7966i 0.744213 + 1.07913i
\(529\) 33.7553 10.4121i 1.46762 0.452702i
\(530\) −0.182756 3.17847i −0.00793842 0.138064i
\(531\) 0.0823093 0.0187866i 0.00357192 0.000815267i
\(532\) 4.43631 28.6281i 0.192338 1.24118i
\(533\) −6.27063 1.43123i −0.271611 0.0619935i
\(534\) 2.20342 13.0741i 0.0953514 0.565771i
\(535\) −11.1503 + 28.4106i −0.482070 + 1.22830i
\(536\) 30.7757 + 13.9692i 1.32931 + 0.603376i
\(537\) −4.99359 + 3.40457i −0.215489 + 0.146918i
\(538\) −0.223081 1.67716i −0.00961770 0.0723076i
\(539\) 16.9246 28.4133i 0.728996 1.22385i
\(540\) 19.1180 5.17740i 0.822706 0.222800i
\(541\) 8.26090 + 12.1165i 0.355164 + 0.520930i 0.961692 0.274132i \(-0.0883906\pi\)
−0.606528 + 0.795062i \(0.707438\pi\)
\(542\) −11.4716 + 13.8833i −0.492746 + 0.596340i
\(543\) −2.91715 + 7.43277i −0.125187 + 0.318971i
\(544\) −19.3009 + 7.30847i −0.827521 + 0.313348i
\(545\) −2.14375 + 9.39238i −0.0918281 + 0.402325i
\(546\) −0.472223 + 7.65925i −0.0202093 + 0.327786i
\(547\) −7.67274 + 1.75125i −0.328063 + 0.0748782i −0.383380 0.923591i \(-0.625240\pi\)
0.0553174 + 0.998469i \(0.482383\pi\)
\(548\) 0.980234 + 5.10599i 0.0418735 + 0.218117i
\(549\) 0.954941 + 3.09584i 0.0407559 + 0.132127i
\(550\) −11.6027 + 2.43707i −0.494739 + 0.103917i
\(551\) 17.2021 + 43.8302i 0.732834 + 1.86723i
\(552\) −1.79276 + 34.3823i −0.0763049 + 1.46341i
\(553\) 0.0812040 1.83554i 0.00345314 0.0780550i
\(554\) 16.5174 + 25.1542i 0.701757 + 1.06870i
\(555\) −13.7532 + 14.8225i −0.583792 + 0.629178i
\(556\) −3.10884 26.9449i −0.131844 1.14272i
\(557\) 27.7821 16.0400i 1.17717 0.679638i 0.221810 0.975090i \(-0.428804\pi\)
0.955357 + 0.295452i \(0.0954703\pi\)
\(558\) 0.182707 0.442765i 0.00773462 0.0187438i
\(559\) 0.137503 0.172423i 0.00581574 0.00729270i
\(560\) 0.738634 18.9926i 0.0312130 0.802586i
\(561\) 17.1295 + 21.4797i 0.723209 + 0.906875i
\(562\) 7.53329 2.18120i 0.317773 0.0920084i
\(563\) −15.7932 + 23.1643i −0.665603 + 0.976261i 0.333831 + 0.942633i \(0.391658\pi\)
−0.999434 + 0.0336278i \(0.989294\pi\)
\(564\) 10.1930 29.3812i 0.429201 1.23717i
\(565\) −0.0404191 0.268163i −0.00170044 0.0112817i
\(566\) −17.2287 + 17.9333i −0.724178 + 0.753793i
\(567\) −18.5487 + 6.34900i −0.778973 + 0.266633i
\(568\) −11.0166 + 38.8233i −0.462246 + 1.62899i
\(569\) 3.88734 6.73308i 0.162966 0.282265i −0.772965 0.634448i \(-0.781227\pi\)
0.935931 + 0.352183i \(0.114561\pi\)
\(570\) −17.5655 + 13.5158i −0.735737 + 0.566113i
\(571\) 3.45416 22.9168i 0.144552 0.959039i −0.792506 0.609865i \(-0.791224\pi\)
0.937058 0.349175i \(-0.113538\pi\)
\(572\) −10.7648 5.65264i −0.450099 0.236349i
\(573\) 6.81359 + 14.1486i 0.284642 + 0.591065i
\(574\) −18.5293 2.54273i −0.773398 0.106132i
\(575\) −12.2093 5.87968i −0.509162 0.245200i
\(576\) 3.38149 + 1.44320i 0.140895 + 0.0601332i
\(577\) 2.67577 + 35.7057i 0.111394 + 1.48645i 0.720554 + 0.693399i \(0.243888\pi\)
−0.609160 + 0.793047i \(0.708493\pi\)
\(578\) 4.73946 2.18185i 0.197136 0.0907529i
\(579\) −0.230331 0.0172609i −0.00957223 0.000717340i
\(580\) 14.5079 + 27.2738i 0.602409 + 1.13248i
\(581\) 28.5941 + 21.4058i 1.18628 + 0.888061i
\(582\) 31.6644 + 2.92663i 1.31253 + 0.121313i
\(583\) −5.65903 1.74558i −0.234373 0.0722945i
\(584\) 0.244442 + 10.7641i 0.0101151 + 0.445422i
\(585\) −0.778550 + 0.722388i −0.0321891 + 0.0298671i
\(586\) −3.05076 3.40464i −0.126026 0.140644i
\(587\) 45.6463i 1.88402i 0.335580 + 0.942012i \(0.391068\pi\)
−0.335580 + 0.942012i \(0.608932\pi\)
\(588\) 0.590090 + 22.3064i 0.0243349 + 0.919900i
\(589\) 4.03474i 0.166248i
\(590\) −0.347499 + 0.311379i −0.0143063 + 0.0128193i
\(591\) −5.50398 + 5.10694i −0.226403 + 0.210072i
\(592\) −27.9160 + 4.36025i −1.14734 + 0.179205i
\(593\) −10.3440 3.19070i −0.424777 0.131026i 0.0749937 0.997184i \(-0.476106\pi\)
−0.499771 + 0.866158i \(0.666583\pi\)
\(594\) 3.39081 36.6866i 0.139127 1.50527i
\(595\) −0.530209 17.3280i −0.0217364 0.710381i
\(596\) 17.9814 9.56495i 0.736546 0.391796i
\(597\) −9.81089 0.735225i −0.401533 0.0300907i
\(598\) −5.81153 12.6239i −0.237651 0.516232i
\(599\) 0.734468 + 9.80079i 0.0300095 + 0.400450i 0.991901 + 0.127017i \(0.0405401\pi\)
−0.961891 + 0.273433i \(0.911841\pi\)
\(600\) 5.73887 5.57264i 0.234288 0.227502i
\(601\) 40.4470 + 19.4783i 1.64987 + 0.794535i 0.999387 + 0.0350143i \(0.0111477\pi\)
0.650483 + 0.759521i \(0.274567\pi\)
\(602\) 0.354212 0.534587i 0.0144366 0.0217881i
\(603\) −2.38270 4.94773i −0.0970311 0.201487i
\(604\) 7.38194 + 3.87629i 0.300367 + 0.157724i
\(605\) 3.03057 20.1065i 0.123210 0.817445i
\(606\) −11.4374 14.8644i −0.464613 0.603824i
\(607\) 10.5883 18.3395i 0.429767 0.744377i −0.567086 0.823659i \(-0.691929\pi\)
0.996852 + 0.0792813i \(0.0252625\pi\)
\(608\) −30.9677 0.372398i −1.25591 0.0151027i
\(609\) −19.0860 30.8394i −0.773402 1.24968i
\(610\) −12.9120 12.4047i −0.522793 0.502253i
\(611\) 1.87097 + 12.4131i 0.0756913 + 0.502179i
\(612\) 3.16815 + 1.09910i 0.128065 + 0.0444284i
\(613\) 17.1860 25.2072i 0.694135 1.01811i −0.303728 0.952759i \(-0.598231\pi\)
0.997862 0.0653499i \(-0.0208164\pi\)
\(614\) −11.9883 41.4045i −0.483810 1.67095i
\(615\) 8.92141 + 11.1871i 0.359746 + 0.451107i
\(616\) −32.6261 13.6216i −1.31454 0.548829i
\(617\) 19.8769 24.9248i 0.800212 1.00343i −0.199511 0.979896i \(-0.563935\pi\)
0.999723 0.0235387i \(-0.00749329\pi\)
\(618\) −7.53758 3.11038i −0.303206 0.125118i
\(619\) 12.2316 7.06192i 0.491630 0.283842i −0.233621 0.972328i \(-0.575057\pi\)
0.725250 + 0.688485i \(0.241724\pi\)
\(620\) 0.303413 + 2.62974i 0.0121854 + 0.105613i
\(621\) 28.6432 30.8700i 1.14941 1.23877i
\(622\) −5.07003 + 3.32922i −0.203290 + 0.133489i
\(623\) 6.12594 + 14.3059i 0.245431 + 0.573152i
\(624\) 8.17730 0.656735i 0.327354 0.0262904i
\(625\) −4.74191 12.0822i −0.189677 0.483288i
\(626\) 6.33170 + 30.1446i 0.253066 + 1.20482i
\(627\) 12.1519 + 39.3955i 0.485300 + 1.57330i
\(628\) 2.45383 0.471079i 0.0979184 0.0187981i
\(629\) −25.1246 + 5.73453i −1.00178 + 0.228651i
\(630\) −2.07047 + 2.29148i −0.0824897 + 0.0912948i
\(631\) −3.70989 + 16.2541i −0.147688 + 0.647065i 0.845836 + 0.533443i \(0.179102\pi\)
−0.993524 + 0.113622i \(0.963755\pi\)
\(632\) −1.95486 + 0.191215i −0.0777602 + 0.00760612i
\(633\) −4.80888 + 12.2528i −0.191136 + 0.487006i
\(634\) −6.06132 5.00837i −0.240726 0.198908i
\(635\) −12.3013 18.0427i −0.488162 0.716002i
\(636\) 3.85683 1.04448i 0.152933 0.0414163i
\(637\) −4.39693 7.86110i −0.174213 0.311468i
\(638\) 56.9623 7.57660i 2.25516 0.299961i
\(639\) 5.41781 3.69380i 0.214325 0.146124i
\(640\) −20.2120 + 2.08606i −0.798948 + 0.0824588i
\(641\) 4.76591 12.1433i 0.188242 0.479633i −0.805331 0.592826i \(-0.798012\pi\)
0.993573 + 0.113192i \(0.0361076\pi\)
\(642\) −37.7721 6.36586i −1.49075 0.251241i
\(643\) 1.42816 + 0.325967i 0.0563210 + 0.0128549i 0.250589 0.968094i \(-0.419376\pi\)
−0.194268 + 0.980949i \(0.562233\pi\)
\(644\) −20.0607 35.0808i −0.790501 1.38238i
\(645\) −0.478321 + 0.109174i −0.0188339 + 0.00429870i
\(646\) −28.2009 + 1.62150i −1.10955 + 0.0637971i
\(647\) 37.1103 11.4470i 1.45896 0.450029i 0.539087 0.842250i \(-0.318769\pi\)
0.919871 + 0.392221i \(0.128293\pi\)
\(648\) 9.52007 + 18.6720i 0.373984 + 0.733504i
\(649\) 0.317091 + 0.807934i 0.0124469 + 0.0317142i
\(650\) −1.00518 + 3.06851i −0.0394266 + 0.120357i
\(651\) −0.556962 3.05747i −0.0218291 0.119832i
\(652\) −16.9859 19.6318i −0.665221 0.768839i
\(653\) −14.6719 + 15.8125i −0.574155 + 0.618791i −0.951637 0.307225i \(-0.900599\pi\)
0.377482 + 0.926017i \(0.376790\pi\)
\(654\) −12.0893 0.209951i −0.472729 0.00820973i
\(655\) −18.4183 31.9014i −0.719662 1.24649i
\(656\) 0.106772 + 19.9940i 0.00416874 + 0.780635i
\(657\) 1.09076 1.36777i 0.0425546 0.0533618i
\(658\) 8.59256 + 35.4773i 0.334973 + 1.38305i
\(659\) 18.5432 14.7877i 0.722342 0.576048i −0.191804 0.981433i \(-0.561434\pi\)
0.914146 + 0.405385i \(0.132862\pi\)
\(660\) 10.8828 + 24.7631i 0.423614 + 0.963903i
\(661\) −5.12744 + 7.52057i −0.199434 + 0.292516i −0.912908 0.408166i \(-0.866168\pi\)
0.713474 + 0.700682i \(0.247121\pi\)
\(662\) 6.28024 12.4819i 0.244089 0.485122i
\(663\) 7.39890 1.11520i 0.287350 0.0433110i
\(664\) 18.3368 33.4941i 0.711605 1.29982i
\(665\) 8.75917 24.4958i 0.339666 0.949906i
\(666\) 3.93537 + 2.36414i 0.152493 + 0.0916084i
\(667\) 56.8819 + 32.8408i 2.20248 + 1.27160i
\(668\) −25.9570 25.8188i −1.00431 0.998958i
\(669\) −4.31752 + 28.6449i −0.166925 + 1.10748i
\(670\) 24.7759 + 17.5297i 0.957175 + 0.677232i
\(671\) −30.0078 + 14.4510i −1.15844 + 0.557874i
\(672\) 23.5184 3.99264i 0.907241 0.154020i
\(673\) −12.6587 6.09609i −0.487956 0.234987i 0.173695 0.984800i \(-0.444429\pi\)
−0.661650 + 0.749812i \(0.730144\pi\)
\(674\) −16.1982 29.2162i −0.623931 1.12537i
\(675\) −9.75695 + 0.731182i −0.375545 + 0.0281432i
\(676\) 19.1787 12.1223i 0.737641 0.466242i
\(677\) −32.0367 2.40082i −1.23127 0.0922709i −0.556846 0.830616i \(-0.687989\pi\)
−0.674423 + 0.738345i \(0.735608\pi\)
\(678\) 0.318945 0.118828i 0.0122490 0.00456356i
\(679\) −33.1176 + 17.2156i −1.27094 + 0.660674i
\(680\) −18.2587 + 3.17757i −0.700189 + 0.121854i
\(681\) 17.6886 + 5.45622i 0.677830 + 0.209083i
\(682\) 4.78090 + 1.17891i 0.183070 + 0.0451428i
\(683\) −17.6103 18.9794i −0.673840 0.726226i 0.299880 0.953977i \(-0.403053\pi\)
−0.973719 + 0.227751i \(0.926863\pi\)
\(684\) 3.82295 + 3.27219i 0.146174 + 0.125115i
\(685\) 4.66889i 0.178389i
\(686\) −14.7456 21.6464i −0.562991 0.826463i
\(687\) −7.58909 −0.289542
\(688\) −0.619252 0.294153i −0.0236088 0.0112145i
\(689\) −1.18234 + 1.09705i −0.0450436 + 0.0417943i
\(690\) −7.40206 + 30.0180i −0.281792 + 1.14276i
\(691\) −4.27088 + 13.8459i −0.162472 + 0.526721i −0.999800 0.0199791i \(-0.993640\pi\)
0.837328 + 0.546700i \(0.184116\pi\)
\(692\) 44.6715 1.79094i 1.69816 0.0680815i
\(693\) 2.64966 + 5.09713i 0.100652 + 0.193624i
\(694\) 19.3544 7.21078i 0.734683 0.273717i
\(695\) 1.82019 24.2888i 0.0690439 0.921326i
\(696\) −29.7564 + 24.8558i −1.12791 + 0.942156i
\(697\) 1.36283 + 18.1857i 0.0516208 + 0.688831i
\(698\) 2.79510 1.54967i 0.105796 0.0586559i
\(699\) 16.7331 34.7467i 0.632905 1.31424i
\(700\) −2.12720 + 9.14516i −0.0804008 + 0.345654i
\(701\) −11.0585 22.9632i −0.417674 0.867310i −0.998577 0.0533364i \(-0.983014\pi\)
0.580902 0.813973i \(-0.302700\pi\)
\(702\) −8.19126 5.79558i −0.309159 0.218740i
\(703\) −38.2398 5.76372i −1.44224 0.217383i
\(704\) −9.48974 + 36.5859i −0.357658 + 1.37888i
\(705\) 13.9634 24.1854i 0.525894 0.910874i
\(706\) 9.60409 15.9871i 0.361455 0.601682i
\(707\) 20.7290 + 7.41225i 0.779594 + 0.278766i
\(708\) −0.472104 0.346485i −0.0177428 0.0130217i
\(709\) 0.238351 + 1.58136i 0.00895147 + 0.0593891i 0.992861 0.119280i \(-0.0380588\pi\)
−0.983909 + 0.178670i \(0.942821\pi\)
\(710\) −16.2883 + 32.3728i −0.611291 + 1.21493i
\(711\) 0.263693 + 0.179783i 0.00988926 + 0.00674239i
\(712\) 14.2153 8.64336i 0.532742 0.323923i
\(713\) 3.50917 + 4.40036i 0.131420 + 0.164795i
\(714\) 21.1465 5.12166i 0.791387 0.191673i
\(715\) −8.53638 6.80753i −0.319242 0.254587i
\(716\) −7.33055 1.94325i −0.273956 0.0726227i
\(717\) −28.4198 + 16.4082i −1.06136 + 0.612774i
\(718\) −31.6444 0.549558i −1.18096 0.0205093i
\(719\) −8.43517 7.82670i −0.314579 0.291886i 0.507041 0.861922i \(-0.330739\pi\)
−0.821620 + 0.570035i \(0.806930\pi\)
\(720\) 2.73777 + 1.84524i 0.102031 + 0.0687680i
\(721\) 9.41605 1.71527i 0.350672 0.0638799i
\(722\) −14.7472 4.83090i −0.548834 0.179788i
\(723\) 21.4628 8.42352i 0.798209 0.313274i
\(724\) −9.44816 + 3.33440i −0.351138 + 0.123922i
\(725\) −4.49814 14.5826i −0.167057 0.541584i
\(726\) 25.4778 1.46493i 0.945569 0.0543685i
\(727\) 10.7707 + 47.1893i 0.399462 + 1.75016i 0.629525 + 0.776980i \(0.283249\pi\)
−0.230064 + 0.973176i \(0.573893\pi\)
\(728\) −7.65571 + 5.84038i −0.283740 + 0.216459i
\(729\) 6.62486 29.0254i 0.245365 1.07501i
\(730\) −1.60683 + 9.53418i −0.0594714 + 0.352876i
\(731\) −0.582075 0.228447i −0.0215288 0.00844944i
\(732\) 11.9050 19.0596i 0.440023 0.704461i
\(733\) −11.7048 17.1678i −0.432328 0.634108i 0.546822 0.837249i \(-0.315837\pi\)
−0.979150 + 0.203141i \(0.934885\pi\)
\(734\) −25.1023 + 3.33888i −0.926543 + 0.123240i
\(735\) −3.25615 + 19.7717i −0.120105 + 0.729292i
\(736\) −34.0979 + 26.5278i −1.25687 + 0.977826i
\(737\) 46.6456 31.8024i 1.71821 1.17146i
\(738\) 2.06936 2.50442i 0.0761741 0.0921888i
\(739\) 4.00411 + 1.57150i 0.147294 + 0.0578085i 0.437843 0.899052i \(-0.355743\pi\)
−0.290549 + 0.956860i \(0.593838\pi\)
\(740\) −25.3571 0.881004i −0.932147 0.0323863i
\(741\) 10.9467 + 2.49852i 0.402138 + 0.0917854i
\(742\) −3.14431 + 3.47995i −0.115431 + 0.127753i
\(743\) −0.807993 3.54005i −0.0296424 0.129872i 0.957942 0.286963i \(-0.0926456\pi\)
−0.987584 + 0.157091i \(0.949788\pi\)
\(744\) −3.15171 + 1.05111i −0.115547 + 0.0385355i
\(745\) 17.4770 5.39095i 0.640309 0.197509i
\(746\) 0.567554 0.119211i 0.0207796 0.00436464i
\(747\) −5.77553 + 2.26673i −0.211316 + 0.0829353i
\(748\) −6.31866 + 33.8900i −0.231033 + 1.23914i
\(749\) 41.3308 17.6983i 1.51020 0.646683i
\(750\) 22.9243 15.0532i 0.837078 0.549665i
\(751\) −11.7996 10.9484i −0.430573 0.399513i 0.434892 0.900482i \(-0.356786\pi\)
−0.865465 + 0.500969i \(0.832977\pi\)
\(752\) 36.2492 14.4506i 1.32187 0.526959i
\(753\) −12.2554 21.2269i −0.446611 0.773552i
\(754\) 5.96983 14.4670i 0.217408 0.526859i
\(755\) 5.85381 + 4.66825i 0.213042 + 0.169895i
\(756\) −25.2082 14.6935i −0.916814 0.534397i
\(757\) 35.9029 28.6316i 1.30491 1.04063i 0.308931 0.951084i \(-0.400029\pi\)
0.995982 0.0895496i \(-0.0285428\pi\)
\(758\) 6.75403 + 23.3266i 0.245317 + 0.847262i
\(759\) 47.5169 + 32.3965i 1.72476 + 1.17592i
\(760\) −27.2472 5.57135i −0.988358 0.202094i
\(761\) 36.9682 5.57206i 1.34010 0.201987i 0.560440 0.828195i \(-0.310632\pi\)
0.779656 + 0.626208i \(0.215394\pi\)
\(762\) 18.9875 19.7639i 0.687843 0.715972i
\(763\) 12.0680 7.46865i 0.436890 0.270383i
\(764\) −7.83167 + 18.0820i −0.283340 + 0.654182i
\(765\) 2.60789 + 1.50566i 0.0942884 + 0.0544374i
\(766\) 1.95519 + 2.54102i 0.0706438 + 0.0918107i
\(767\) 0.233742 + 0.0352309i 0.00843993 + 0.00127212i
\(768\) −7.77666 24.2873i −0.280616 0.876392i
\(769\) 16.1737 7.78885i 0.583239 0.280873i −0.118908 0.992905i \(-0.537939\pi\)
0.702147 + 0.712032i \(0.252225\pi\)
\(770\) −26.4666 17.5365i −0.953789 0.631971i
\(771\)