Properties

Label 441.2.bd.a.122.52
Level $441$
Weight $2$
Character 441.122
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.bd (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
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 122.52
Character \(\chi\) \(=\) 441.122
Dual form 441.2.bd.a.47.52

$q$-expansion

\(f(q)\) \(=\) \(q+(1.73309 - 1.86783i) q^{2} +(1.41963 + 0.992289i) q^{3} +(-0.335716 - 4.47983i) q^{4} +(1.23495 - 1.54857i) q^{5} +(4.31378 - 0.931906i) q^{6} +(-2.58103 - 0.581642i) q^{7} +(-4.96513 - 3.95956i) q^{8} +(1.03072 + 2.81738i) q^{9} +O(q^{10})\) \(q+(1.73309 - 1.86783i) q^{2} +(1.41963 + 0.992289i) q^{3} +(-0.335716 - 4.47983i) q^{4} +(1.23495 - 1.54857i) q^{5} +(4.31378 - 0.931906i) q^{6} +(-2.58103 - 0.581642i) q^{7} +(-4.96513 - 3.95956i) q^{8} +(1.03072 + 2.81738i) q^{9} +(-0.752195 - 4.99049i) q^{10} +(3.41384 + 0.779186i) q^{11} +(3.96869 - 6.69284i) q^{12} +(-3.09441 + 3.33498i) q^{13} +(-5.55956 + 3.81287i) q^{14} +(3.28981 - 0.972985i) q^{15} +(-7.11638 + 1.07262i) q^{16} +(-0.0470632 + 0.628015i) q^{17} +(7.04871 + 2.95755i) q^{18} +(-5.31120 + 3.06642i) q^{19} +(-7.35193 - 5.01246i) q^{20} +(-3.08696 - 3.38684i) q^{21} +(7.37188 - 5.02606i) q^{22} +(0.622492 - 1.29262i) q^{23} +(-3.11964 - 10.5480i) q^{24} +(0.239616 + 1.04983i) q^{25} +(0.866277 + 11.5597i) q^{26} +(-1.33240 + 5.02242i) q^{27} +(-1.73916 + 11.7578i) q^{28} +(1.94993 - 2.86002i) q^{29} +(3.88417 - 7.83107i) q^{30} +(7.04024 - 4.06469i) q^{31} +(-3.17498 + 4.65684i) q^{32} +(4.07322 + 4.49367i) q^{33} +(1.09146 + 1.17631i) q^{34} +(-4.08814 + 3.27861i) q^{35} +(12.2753 - 5.56331i) q^{36} +(-3.85939 - 2.63129i) q^{37} +(-3.47724 + 15.2348i) q^{38} +(-7.70220 + 1.66391i) q^{39} +(-12.2633 + 2.79903i) q^{40} +(0.825001 + 2.10207i) q^{41} +(-11.6760 - 0.103802i) q^{42} +(1.99059 - 5.07195i) q^{43} +(2.34454 - 15.5550i) q^{44} +(5.63581 + 1.88316i) q^{45} +(-1.33555 - 3.40294i) q^{46} +(-1.17080 - 1.08634i) q^{47} +(-11.1670 - 5.53878i) q^{48} +(6.32339 + 3.00246i) q^{49} +(2.37617 + 1.37188i) q^{50} +(-0.689985 + 0.844852i) q^{51} +(15.9790 + 12.7428i) q^{52} +(-1.66029 - 2.43520i) q^{53} +(7.07185 + 11.1930i) q^{54} +(5.42254 - 4.32433i) q^{55} +(10.5121 + 13.1077i) q^{56} +(-10.5827 - 0.917046i) q^{57} +(-1.96262 - 8.59881i) q^{58} +(-3.39032 + 8.63838i) q^{59} +(-5.46325 - 14.4111i) q^{60} +(-8.47359 - 0.635008i) q^{61} +(4.60925 - 20.1944i) q^{62} +(-1.02162 - 7.87123i) q^{63} +(-0.00721482 - 0.0316102i) q^{64} +(1.34303 + 8.91045i) q^{65} +(15.4527 + 0.179864i) q^{66} +(5.53764 + 9.59148i) q^{67} +2.82920 q^{68} +(2.16636 - 1.21735i) q^{69} +(-0.961241 + 13.3181i) q^{70} +(-3.74652 + 7.77974i) q^{71} +(6.03789 - 18.0699i) q^{72} +(4.09686 - 13.2817i) q^{73} +(-11.6035 + 2.64842i) q^{74} +(-0.701564 + 1.72814i) q^{75} +(15.5201 + 22.7638i) q^{76} +(-8.35800 - 3.99673i) q^{77} +(-10.2407 + 17.2701i) q^{78} +(-4.93847 + 8.55369i) q^{79} +(-7.12732 + 12.3449i) q^{80} +(-6.87521 + 5.80788i) q^{81} +(5.35610 + 2.10212i) q^{82} +(-10.1509 + 9.41868i) q^{83} +(-14.1361 + 14.9660i) q^{84} +(0.914408 + 0.848446i) q^{85} +(-6.02365 - 12.5082i) q^{86} +(5.60616 - 2.12529i) q^{87} +(-13.8649 - 17.3861i) q^{88} +(-12.0271 + 11.1595i) q^{89} +(13.2848 - 7.26304i) q^{90} +(9.92652 - 6.80784i) q^{91} +(-5.99969 - 2.35470i) q^{92} +(14.0279 + 1.21559i) q^{93} +(-4.05820 + 0.304120i) q^{94} +(-1.81047 + 12.0117i) q^{95} +(-9.12824 + 3.46051i) q^{96} +(9.01573 - 5.20523i) q^{97} +(16.5671 - 6.60746i) q^{98} +(1.32347 + 10.4212i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 18 q^{2} - 11 q^{3} - 60 q^{4} - 15 q^{5} - 22 q^{6} - 5 q^{7} + 13 q^{9} + O(q^{10}) \) \( 648 q - 18 q^{2} - 11 q^{3} - 60 q^{4} - 15 q^{5} - 22 q^{6} - 5 q^{7} + 13 q^{9} - 22 q^{10} - 21 q^{11} + 24 q^{12} - 10 q^{13} - 24 q^{14} - 10 q^{15} + 42 q^{16} + 9 q^{17} + 12 q^{18} - 36 q^{19} - 15 q^{20} - 38 q^{21} - 9 q^{22} - 84 q^{23} - 38 q^{24} - 97 q^{25} - 6 q^{26} - 20 q^{27} - 26 q^{28} - 123 q^{29} - q^{30} - 6 q^{31} - 30 q^{32} - 8 q^{33} - q^{34} + 70 q^{36} - 13 q^{37} - 75 q^{38} - 24 q^{39} - 7 q^{40} - 15 q^{41} - 133 q^{42} - 9 q^{43} - 51 q^{44} - 41 q^{45} - 108 q^{46} - 36 q^{47} + 15 q^{48} + 5 q^{49} - 45 q^{50} + 10 q^{51} - 35 q^{52} + 12 q^{53} - 50 q^{54} + 14 q^{55} + 33 q^{56} - 7 q^{57} + 33 q^{58} - 3 q^{59} + 180 q^{60} + 55 q^{61} - 66 q^{62} - 20 q^{63} + 64 q^{64} + 3 q^{65} + 285 q^{66} + 13 q^{67} + 6 q^{68} + 82 q^{69} + 11 q^{70} + 63 q^{71} - 21 q^{72} - 22 q^{73} - 21 q^{74} - 107 q^{75} + 21 q^{76} - 69 q^{77} + 63 q^{78} + q^{79} + 45 q^{80} - 211 q^{81} - 28 q^{82} + 9 q^{83} + 239 q^{84} - 10 q^{85} - 21 q^{86} - 109 q^{87} - 29 q^{88} - 132 q^{89} - 275 q^{90} - 13 q^{91} + 195 q^{92} + 19 q^{93} - 4 q^{94} - 129 q^{95} - 5 q^{96} - 3 q^{97} - 21 q^{98} - 148 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{37}{42}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.73309 1.86783i 1.22548 1.32075i 0.294515 0.955647i \(-0.404842\pi\)
0.930966 0.365107i \(-0.118968\pi\)
\(3\) 1.41963 + 0.992289i 0.819626 + 0.572898i
\(4\) −0.335716 4.47983i −0.167858 2.23991i
\(5\) 1.23495 1.54857i 0.552285 0.692543i −0.424826 0.905275i \(-0.639665\pi\)
0.977111 + 0.212732i \(0.0682360\pi\)
\(6\) 4.31378 0.931906i 1.76109 0.380449i
\(7\) −2.58103 0.581642i −0.975536 0.219840i
\(8\) −4.96513 3.95956i −1.75544 1.39992i
\(9\) 1.03072 + 2.81738i 0.343575 + 0.939125i
\(10\) −0.752195 4.99049i −0.237865 1.57813i
\(11\) 3.41384 + 0.779186i 1.02931 + 0.234933i 0.703645 0.710552i \(-0.251554\pi\)
0.325666 + 0.945485i \(0.394412\pi\)
\(12\) 3.96869 6.69284i 1.14566 1.93206i
\(13\) −3.09441 + 3.33498i −0.858235 + 0.924958i −0.997869 0.0652455i \(-0.979217\pi\)
0.139634 + 0.990203i \(0.455407\pi\)
\(14\) −5.55956 + 3.81287i −1.48585 + 1.01903i
\(15\) 3.28981 0.972985i 0.849424 0.251224i
\(16\) −7.11638 + 1.07262i −1.77910 + 0.268156i
\(17\) −0.0470632 + 0.628015i −0.0114145 + 0.152316i 0.988584 + 0.150670i \(0.0481430\pi\)
−0.999999 + 0.00164620i \(0.999476\pi\)
\(18\) 7.04871 + 2.95755i 1.66140 + 0.697102i
\(19\) −5.31120 + 3.06642i −1.21847 + 0.703486i −0.964591 0.263750i \(-0.915041\pi\)
−0.253882 + 0.967235i \(0.581707\pi\)
\(20\) −7.35193 5.01246i −1.64394 1.12082i
\(21\) −3.08696 3.38684i −0.673629 0.739070i
\(22\) 7.37188 5.02606i 1.57169 1.07156i
\(23\) 0.622492 1.29262i 0.129799 0.269530i −0.825934 0.563767i \(-0.809351\pi\)
0.955732 + 0.294238i \(0.0950657\pi\)
\(24\) −3.11964 10.5480i −0.636795 2.15310i
\(25\) 0.239616 + 1.04983i 0.0479232 + 0.209965i
\(26\) 0.866277 + 11.5597i 0.169891 + 2.26704i
\(27\) −1.33240 + 5.02242i −0.256420 + 0.966565i
\(28\) −1.73916 + 11.7578i −0.328670 + 2.22202i
\(29\) 1.94993 2.86002i 0.362093 0.531093i −0.601357 0.798980i \(-0.705373\pi\)
0.963450 + 0.267887i \(0.0863255\pi\)
\(30\) 3.88417 7.83107i 0.709148 1.42975i
\(31\) 7.04024 4.06469i 1.26446 0.730039i 0.290530 0.956866i \(-0.406168\pi\)
0.973935 + 0.226827i \(0.0728352\pi\)
\(32\) −3.17498 + 4.65684i −0.561262 + 0.823221i
\(33\) 4.07322 + 4.49367i 0.709057 + 0.782248i
\(34\) 1.09146 + 1.17631i 0.187184 + 0.201736i
\(35\) −4.08814 + 3.27861i −0.691023 + 0.554187i
\(36\) 12.2753 5.56331i 2.04589 0.927218i
\(37\) −3.85939 2.63129i −0.634480 0.432581i 0.202902 0.979199i \(-0.434963\pi\)
−0.837382 + 0.546618i \(0.815915\pi\)
\(38\) −3.47724 + 15.2348i −0.564083 + 2.47141i
\(39\) −7.70220 + 1.66391i −1.23334 + 0.266438i
\(40\) −12.2633 + 2.79903i −1.93901 + 0.442565i
\(41\) 0.825001 + 2.10207i 0.128844 + 0.328288i 0.980709 0.195472i \(-0.0626240\pi\)
−0.851866 + 0.523760i \(0.824529\pi\)
\(42\) −11.6760 0.103802i −1.80165 0.0160169i
\(43\) 1.99059 5.07195i 0.303563 0.773466i −0.694956 0.719053i \(-0.744576\pi\)
0.998519 0.0544129i \(-0.0173287\pi\)
\(44\) 2.34454 15.5550i 0.353452 2.34500i
\(45\) 5.63581 + 1.88316i 0.840136 + 0.280724i
\(46\) −1.33555 3.40294i −0.196917 0.501735i
\(47\) −1.17080 1.08634i −0.170779 0.158459i 0.590153 0.807291i \(-0.299067\pi\)
−0.760932 + 0.648832i \(0.775258\pi\)
\(48\) −11.1670 5.53878i −1.61182 0.799454i
\(49\) 6.32339 + 3.00246i 0.903341 + 0.428923i
\(50\) 2.37617 + 1.37188i 0.336041 + 0.194013i
\(51\) −0.689985 + 0.844852i −0.0966173 + 0.118303i
\(52\) 15.9790 + 12.7428i 2.21589 + 1.76711i
\(53\) −1.66029 2.43520i −0.228058 0.334500i 0.695105 0.718908i \(-0.255358\pi\)
−0.923163 + 0.384408i \(0.874406\pi\)
\(54\) 7.07185 + 11.1930i 0.962357 + 1.52318i
\(55\) 5.42254 4.32433i 0.731175 0.583092i
\(56\) 10.5121 + 13.1077i 1.40474 + 1.75158i
\(57\) −10.5827 0.917046i −1.40172 0.121466i
\(58\) −1.96262 8.59881i −0.257705 1.12908i
\(59\) −3.39032 + 8.63838i −0.441382 + 1.12462i 0.521153 + 0.853463i \(0.325502\pi\)
−0.962535 + 0.271159i \(0.912593\pi\)
\(60\) −5.46325 14.4111i −0.705302 1.86047i
\(61\) −8.47359 0.635008i −1.08493 0.0813045i −0.479761 0.877399i \(-0.659277\pi\)
−0.605172 + 0.796095i \(0.706896\pi\)
\(62\) 4.60925 20.1944i 0.585375 2.56470i
\(63\) −1.02162 7.87123i −0.128713 0.991682i
\(64\) −0.00721482 0.0316102i −0.000901852 0.00395127i
\(65\) 1.34303 + 8.91045i 0.166583 + 1.10521i
\(66\) 15.4527 + 0.179864i 1.90209 + 0.0221397i
\(67\) 5.53764 + 9.59148i 0.676531 + 1.17179i 0.976019 + 0.217686i \(0.0698507\pi\)
−0.299488 + 0.954100i \(0.596816\pi\)
\(68\) 2.82920 0.343091
\(69\) 2.16636 1.21735i 0.260800 0.146552i
\(70\) −0.961241 + 13.3181i −0.114890 + 1.59182i
\(71\) −3.74652 + 7.77974i −0.444631 + 0.923285i 0.551397 + 0.834243i \(0.314095\pi\)
−0.996028 + 0.0890422i \(0.971619\pi\)
\(72\) 6.03789 18.0699i 0.711572 2.12955i
\(73\) 4.09686 13.2817i 0.479501 1.55450i −0.316125 0.948717i \(-0.602382\pi\)
0.795627 0.605787i \(-0.207142\pi\)
\(74\) −11.6035 + 2.64842i −1.34888 + 0.307872i
\(75\) −0.701564 + 1.72814i −0.0810096 + 0.199548i
\(76\) 15.5201 + 22.7638i 1.78028 + 2.61119i
\(77\) −8.35800 3.99673i −0.952482 0.455470i
\(78\) −10.2407 + 17.2701i −1.15953 + 1.95545i
\(79\) −4.93847 + 8.55369i −0.555622 + 0.962365i 0.442233 + 0.896900i \(0.354186\pi\)
−0.997855 + 0.0654648i \(0.979147\pi\)
\(80\) −7.12732 + 12.3449i −0.796859 + 1.38020i
\(81\) −6.87521 + 5.80788i −0.763913 + 0.645320i
\(82\) 5.35610 + 2.10212i 0.591483 + 0.232140i
\(83\) −10.1509 + 9.41868i −1.11421 + 1.03383i −0.115028 + 0.993362i \(0.536696\pi\)
−0.999181 + 0.0404719i \(0.987114\pi\)
\(84\) −14.1361 + 14.9660i −1.54238 + 1.63293i
\(85\) 0.914408 + 0.848446i 0.0991814 + 0.0920269i
\(86\) −6.02365 12.5082i −0.649547 1.34880i
\(87\) 5.60616 2.12529i 0.601043 0.227855i
\(88\) −13.8649 17.3861i −1.47801 1.85336i
\(89\) −12.0271 + 11.1595i −1.27487 + 1.18290i −0.301547 + 0.953451i \(0.597503\pi\)
−0.973320 + 0.229452i \(0.926307\pi\)
\(90\) 13.2848 7.26304i 1.40034 0.765591i
\(91\) 9.92652 6.80784i 1.04058 0.713655i
\(92\) −5.99969 2.35470i −0.625511 0.245495i
\(93\) 14.0279 + 1.21559i 1.45463 + 0.126050i
\(94\) −4.05820 + 0.304120i −0.418572 + 0.0313676i
\(95\) −1.81047 + 12.0117i −0.185750 + 1.23237i
\(96\) −9.12824 + 3.46051i −0.931647 + 0.353187i
\(97\) 9.01573 5.20523i 0.915408 0.528511i 0.0332411 0.999447i \(-0.489417\pi\)
0.882167 + 0.470936i \(0.156084\pi\)
\(98\) 16.5671 6.60746i 1.67353 0.667454i
\(99\) 1.32347 + 10.4212i 0.133013 + 1.04737i
\(100\) 4.62259 1.42588i 0.462259 0.142588i
\(101\) 7.43760 9.32646i 0.740069 0.928018i −0.259216 0.965819i \(-0.583464\pi\)
0.999285 + 0.0378018i \(0.0120356\pi\)
\(102\) 0.382231 + 2.75298i 0.0378465 + 0.272586i
\(103\) 2.73445 + 2.18065i 0.269434 + 0.214866i 0.748881 0.662705i \(-0.230591\pi\)
−0.479447 + 0.877571i \(0.659163\pi\)
\(104\) 28.5692 4.30612i 2.80144 0.422250i
\(105\) −9.05700 + 0.597812i −0.883873 + 0.0583405i
\(106\) −7.42597 1.11928i −0.721274 0.108715i
\(107\) −13.7351 14.8030i −1.32783 1.43106i −0.823237 0.567698i \(-0.807834\pi\)
−0.504590 0.863359i \(-0.668356\pi\)
\(108\) 22.9469 + 4.28280i 2.20806 + 0.412113i
\(109\) −11.0479 10.2509i −1.05819 0.981859i −0.0583275 0.998298i \(-0.518577\pi\)
−0.999865 + 0.0164385i \(0.994767\pi\)
\(110\) 1.32065 17.6228i 0.125919 1.68027i
\(111\) −2.86793 7.56510i −0.272211 0.718047i
\(112\) 18.9915 + 1.37072i 1.79452 + 0.129521i
\(113\) 4.66159 15.1125i 0.438525 1.42166i −0.419359 0.907820i \(-0.637745\pi\)
0.857884 0.513843i \(-0.171779\pi\)
\(114\) −20.0537 + 18.1774i −1.87821 + 1.70247i
\(115\) −1.23297 2.56029i −0.114975 0.238748i
\(116\) −13.4670 7.77519i −1.25038 0.721908i
\(117\) −12.5854 5.28067i −1.16352 0.488198i
\(118\) 10.2593 + 21.3036i 0.944444 + 1.96116i
\(119\) 0.486751 1.59355i 0.0446204 0.146080i
\(120\) −20.1869 8.19519i −1.84281 0.748115i
\(121\) 1.13650 + 0.547309i 0.103318 + 0.0497554i
\(122\) −15.8716 + 14.7267i −1.43695 + 1.33329i
\(123\) −0.914660 + 3.80281i −0.0824721 + 0.342888i
\(124\) −20.5726 30.1745i −1.84747 2.70975i
\(125\) 10.8444 + 5.22239i 0.969952 + 0.467104i
\(126\) −16.4727 11.7333i −1.46750 1.04529i
\(127\) 11.4243 5.50167i 1.01375 0.488195i 0.148165 0.988963i \(-0.452663\pi\)
0.865582 + 0.500768i \(0.166949\pi\)
\(128\) −9.83372 5.67750i −0.869186 0.501825i
\(129\) 7.85876 5.22507i 0.691925 0.460042i
\(130\) 18.9708 + 12.9341i 1.66385 + 1.13439i
\(131\) 1.43605 + 1.80075i 0.125468 + 0.157332i 0.840598 0.541659i \(-0.182204\pi\)
−0.715130 + 0.698992i \(0.753632\pi\)
\(132\) 18.7634 19.7559i 1.63315 1.71953i
\(133\) 15.4919 4.82530i 1.34332 0.418407i
\(134\) 27.5125 + 6.27954i 2.37672 + 0.542470i
\(135\) 6.13215 + 8.26574i 0.527772 + 0.711402i
\(136\) 2.72034 2.93183i 0.233267 0.251402i
\(137\) 13.7845 10.9928i 1.17769 0.939176i 0.178691 0.983905i \(-0.442814\pi\)
0.998999 + 0.0447288i \(0.0142424\pi\)
\(138\) 1.48070 6.15618i 0.126045 0.524049i
\(139\) −10.4871 + 4.11587i −0.889501 + 0.349104i −0.765696 0.643203i \(-0.777605\pi\)
−0.123806 + 0.992306i \(0.539510\pi\)
\(140\) 16.0601 + 17.2135i 1.35732 + 1.45481i
\(141\) −0.584141 2.70398i −0.0491935 0.227716i
\(142\) 8.03814 + 20.4809i 0.674546 + 1.71872i
\(143\) −13.1624 + 8.97397i −1.10069 + 0.750441i
\(144\) −10.3570 18.9439i −0.863084 1.57866i
\(145\) −2.02090 6.55159i −0.167826 0.544080i
\(146\) −17.7077 30.6706i −1.46550 2.53832i
\(147\) 5.99759 + 10.5370i 0.494673 + 0.869079i
\(148\) −10.4920 + 18.1728i −0.862441 + 1.49379i
\(149\) 8.31236 + 1.89724i 0.680975 + 0.155428i 0.548997 0.835824i \(-0.315010\pi\)
0.131978 + 0.991253i \(0.457867\pi\)
\(150\) 2.01199 + 4.30542i 0.164278 + 0.351536i
\(151\) −4.24134 2.04252i −0.345155 0.166218i 0.253272 0.967395i \(-0.418493\pi\)
−0.598427 + 0.801177i \(0.704207\pi\)
\(152\) 38.5125 + 5.80483i 3.12378 + 0.470834i
\(153\) −1.81786 + 0.514716i −0.146966 + 0.0416123i
\(154\) −21.9504 + 8.68460i −1.76881 + 0.699825i
\(155\) 2.39986 15.9220i 0.192761 1.27889i
\(156\) 10.0398 + 33.9459i 0.803824 + 2.71785i
\(157\) 10.4410 + 4.09780i 0.833284 + 0.327040i 0.743346 0.668907i \(-0.233238\pi\)
0.0899383 + 0.995947i \(0.471333\pi\)
\(158\) 7.41799 + 24.0485i 0.590144 + 1.91320i
\(159\) 0.0594155 5.10458i 0.00471195 0.404820i
\(160\) 3.29053 + 10.6676i 0.260139 + 0.843351i
\(161\) −2.35851 + 2.97422i −0.185877 + 0.234401i
\(162\) −1.06725 + 22.9073i −0.0838513 + 1.79977i
\(163\) 0.980318 2.49781i 0.0767845 0.195644i −0.887327 0.461140i \(-0.847441\pi\)
0.964112 + 0.265496i \(0.0855358\pi\)
\(164\) 9.13993 4.40156i 0.713709 0.343704i
\(165\) 11.9890 0.758243i 0.933343 0.0590291i
\(166\) 35.2836i 2.73854i
\(167\) 0.854941 11.4084i 0.0661574 0.882809i −0.861112 0.508415i \(-0.830232\pi\)
0.927270 0.374394i \(-0.122149\pi\)
\(168\) 1.91674 + 29.0391i 0.147880 + 2.24042i
\(169\) −0.575234 7.67597i −0.0442488 0.590459i
\(170\) 3.16950 0.237521i 0.243090 0.0182171i
\(171\) −14.1137 11.8030i −1.07930 0.902599i
\(172\) −23.3897 7.21478i −1.78345 0.550122i
\(173\) 4.68349 3.19315i 0.356079 0.242771i −0.372047 0.928214i \(-0.621344\pi\)
0.728126 + 0.685443i \(0.240392\pi\)
\(174\) 5.74630 14.1547i 0.435626 1.07306i
\(175\) −0.00783245 2.84900i −0.000592078 0.215364i
\(176\) −25.1300 1.88323i −1.89424 0.141954i
\(177\) −13.3848 + 8.89918i −1.00606 + 0.668903i
\(178\) 41.8049i 3.13341i
\(179\) −0.802147 0.0601126i −0.0599553 0.00449303i 0.0447187 0.999000i \(-0.485761\pi\)
−0.104674 + 0.994507i \(0.533380\pi\)
\(180\) 6.54417 25.8796i 0.487774 1.92895i
\(181\) −14.5304 + 3.31647i −1.08004 + 0.246512i −0.725285 0.688449i \(-0.758292\pi\)
−0.354752 + 0.934960i \(0.615435\pi\)
\(182\) 4.48769 30.3396i 0.332650 2.24892i
\(183\) −11.3993 9.30973i −0.842660 0.688195i
\(184\) −8.20896 + 3.95323i −0.605173 + 0.291436i
\(185\) −8.84089 + 2.72705i −0.649995 + 0.200497i
\(186\) 26.5822 24.0950i 1.94910 1.76673i
\(187\) −0.650007 + 2.10727i −0.0475332 + 0.154099i
\(188\) −4.47357 + 5.60968i −0.326268 + 0.409128i
\(189\) 6.36020 12.1880i 0.462637 0.886548i
\(190\) 19.2980 + 24.1989i 1.40002 + 1.75558i
\(191\) −16.4785 + 6.46732i −1.19234 + 0.467959i −0.876755 0.480938i \(-0.840296\pi\)
−0.315586 + 0.948897i \(0.602201\pi\)
\(192\) 0.0211240 0.0520341i 0.00152450 0.00375524i
\(193\) −2.58389 0.389458i −0.185992 0.0280338i 0.0553856 0.998465i \(-0.482361\pi\)
−0.241378 + 0.970431i \(0.577599\pi\)
\(194\) 5.90260 25.8610i 0.423782 1.85671i
\(195\) −6.93513 + 13.9823i −0.496635 + 1.00129i
\(196\) 11.3276 29.3356i 0.809118 2.09540i
\(197\) 21.0770i 1.50167i −0.660488 0.750837i \(-0.729650\pi\)
0.660488 0.750837i \(-0.270350\pi\)
\(198\) 21.7587 + 15.5889i 1.54632 + 1.10785i
\(199\) −0.372623 + 0.146244i −0.0264145 + 0.0103669i −0.378512 0.925597i \(-0.623564\pi\)
0.352097 + 0.935964i \(0.385469\pi\)
\(200\) 2.96712 6.16130i 0.209807 0.435669i
\(201\) −1.65609 + 19.1113i −0.116812 + 1.34801i
\(202\) −4.53018 30.0558i −0.318742 2.11472i
\(203\) −6.69633 + 6.24763i −0.469990 + 0.438498i
\(204\) 4.01643 + 2.80738i 0.281206 + 0.196556i
\(205\) 4.27404 + 1.31837i 0.298512 + 0.0920788i
\(206\) 8.81214 1.32822i 0.613971 0.0925412i
\(207\) 4.28341 + 0.421461i 0.297718 + 0.0292936i
\(208\) 18.4438 27.0521i 1.27885 1.87573i
\(209\) −20.5209 + 6.32986i −1.41946 + 0.437845i
\(210\) −14.5800 + 17.9530i −1.00612 + 1.23887i
\(211\) 11.8040 + 3.64106i 0.812623 + 0.250661i 0.673094 0.739557i \(-0.264965\pi\)
0.139529 + 0.990218i \(0.455441\pi\)
\(212\) −10.3519 + 8.25535i −0.710970 + 0.566980i
\(213\) −13.0384 + 7.32675i −0.893379 + 0.502021i
\(214\) −51.4537 −3.51730
\(215\) −5.39602 9.34618i −0.368005 0.637404i
\(216\) 26.5021 19.6613i 1.80324 1.33778i
\(217\) −20.5352 + 6.39616i −1.39402 + 0.434200i
\(218\) −38.2939 + 2.86973i −2.59359 + 0.194363i
\(219\) 18.9953 14.7899i 1.28359 0.999408i
\(220\) −21.1927 22.8403i −1.42881 1.53989i
\(221\) −1.94879 2.10029i −0.131090 0.141281i
\(222\) −19.1007 7.75421i −1.28195 0.520429i
\(223\) −7.63684 + 0.572302i −0.511401 + 0.0383242i −0.327932 0.944701i \(-0.606352\pi\)
−0.183469 + 0.983026i \(0.558733\pi\)
\(224\) 10.9033 10.1727i 0.728508 0.679694i
\(225\) −2.71078 + 1.75717i −0.180718 + 0.117145i
\(226\) −20.1486 34.8984i −1.34026 2.32140i
\(227\) 13.4849 0.895026 0.447513 0.894277i \(-0.352310\pi\)
0.447513 + 0.894277i \(0.352310\pi\)
\(228\) −0.555405 + 47.7167i −0.0367826 + 3.16012i
\(229\) 19.7681 15.7646i 1.30632 1.04175i 0.310480 0.950580i \(-0.399510\pi\)
0.995835 0.0911717i \(-0.0290612\pi\)
\(230\) −6.91904 2.13424i −0.456228 0.140728i
\(231\) −7.89939 13.9674i −0.519742 0.918990i
\(232\) −21.0061 + 6.47952i −1.37912 + 0.425401i
\(233\) −3.78015 + 5.54446i −0.247646 + 0.363230i −0.929854 0.367928i \(-0.880067\pi\)
0.682208 + 0.731158i \(0.261020\pi\)
\(234\) −31.6750 + 14.3555i −2.07066 + 0.938445i
\(235\) −3.12816 + 0.471494i −0.204058 + 0.0307569i
\(236\) 39.8366 + 12.2880i 2.59314 + 0.799879i
\(237\) −15.4986 + 7.24272i −1.00674 + 0.470465i
\(238\) −2.13289 3.67093i −0.138255 0.237951i
\(239\) 3.66897 + 24.3421i 0.237326 + 1.57456i 0.716977 + 0.697097i \(0.245525\pi\)
−0.479650 + 0.877460i \(0.659237\pi\)
\(240\) −22.3679 + 10.4529i −1.44384 + 0.674729i
\(241\) −2.69509 + 5.59641i −0.173606 + 0.360496i −0.969557 0.244864i \(-0.921257\pi\)
0.795952 + 0.605360i \(0.206971\pi\)
\(242\) 2.99194 1.17425i 0.192329 0.0754836i
\(243\) −15.5234 + 1.42287i −0.995826 + 0.0912769i
\(244\) 38.1734i 2.44380i
\(245\) 12.4586 6.08435i 0.795950 0.388715i
\(246\) 5.51780 + 8.29904i 0.351802 + 0.529128i
\(247\) 6.20857 27.2015i 0.395042 1.73079i
\(248\) −51.0501 7.69456i −3.24168 0.488605i
\(249\) −23.7566 + 3.29843i −1.50552 + 0.209030i
\(250\) 28.5488 11.2046i 1.80559 0.708641i
\(251\) 4.46224 + 5.59547i 0.281654 + 0.353183i 0.902454 0.430786i \(-0.141764\pi\)
−0.620800 + 0.783969i \(0.713192\pi\)
\(252\) −34.9188 + 7.21920i −2.19968 + 0.454767i
\(253\) 3.13228 3.92775i 0.196925 0.246936i
\(254\) 9.52325 30.8736i 0.597542 1.93718i
\(255\) 0.456221 + 2.11184i 0.0285697 + 0.132249i
\(256\) −27.5854 + 8.50896i −1.72408 + 0.531810i
\(257\) −5.94139 + 2.86122i −0.370614 + 0.178478i −0.609914 0.792467i \(-0.708796\pi\)
0.239301 + 0.970946i \(0.423082\pi\)
\(258\) 3.86041 23.7343i 0.240339 1.47764i
\(259\) 8.43072 + 9.03620i 0.523859 + 0.561482i
\(260\) 39.4664 9.00795i 2.44760 0.558649i
\(261\) 10.0676 + 2.54579i 0.623169 + 0.157580i
\(262\) 5.85230 + 0.438570i 0.361557 + 0.0270949i
\(263\) 32.2230i 1.98695i 0.114030 + 0.993477i \(0.463624\pi\)
−0.114030 + 0.993477i \(0.536376\pi\)
\(264\) −2.43112 38.4399i −0.149625 2.36581i
\(265\) −5.82146 0.436258i −0.357609 0.0267991i
\(266\) 17.8360 37.2989i 1.09360 2.28694i
\(267\) −28.1475 + 3.90807i −1.72260 + 0.239170i
\(268\) 41.1091 28.0277i 2.51114 1.71206i
\(269\) 3.71174 + 1.14492i 0.226309 + 0.0698070i 0.405836 0.913946i \(-0.366981\pi\)
−0.179527 + 0.983753i \(0.557457\pi\)
\(270\) 26.0666 + 2.87148i 1.58636 + 0.174753i
\(271\) 7.42340 0.556307i 0.450940 0.0337933i 0.152675 0.988276i \(-0.451211\pi\)
0.298265 + 0.954483i \(0.403592\pi\)
\(272\) −0.338703 4.51968i −0.0205369 0.274046i
\(273\) 20.8474 + 0.185336i 1.26174 + 0.0112171i
\(274\) 3.35719 44.7986i 0.202815 2.70638i
\(275\) 3.77064i 0.227378i
\(276\) −6.18082 9.29624i −0.372042 0.559568i
\(277\) 15.7767 7.59766i 0.947931 0.456499i 0.104971 0.994475i \(-0.466525\pi\)
0.842960 + 0.537976i \(0.180811\pi\)
\(278\) −10.4873 + 26.7212i −0.628987 + 1.60263i
\(279\) 18.7083 + 15.6454i 1.12004 + 0.936668i
\(280\) 33.2800 0.0914933i 1.98886 0.00546777i
\(281\) −2.23815 7.25590i −0.133517 0.432851i 0.863983 0.503521i \(-0.167962\pi\)
−0.997500 + 0.0706704i \(0.977486\pi\)
\(282\) −6.06294 3.59517i −0.361043 0.214089i
\(283\) −3.73936 12.1227i −0.222282 0.720621i −0.996181 0.0873116i \(-0.972172\pi\)
0.773899 0.633309i \(-0.218304\pi\)
\(284\) 36.1096 + 14.1720i 2.14271 + 0.840953i
\(285\) −14.4892 + 15.2557i −0.858268 + 0.903667i
\(286\) −6.04980 + 40.1378i −0.357732 + 2.37340i
\(287\) −0.906699 5.90535i −0.0535207 0.348582i
\(288\) −16.3926 4.14519i −0.965943 0.244258i
\(289\) 16.4179 + 2.47461i 0.965761 + 0.145565i
\(290\) −15.7396 7.57981i −0.924263 0.445102i
\(291\) 17.9641 + 1.55668i 1.05308 + 0.0912542i
\(292\) −60.8751 13.8943i −3.56244 0.813104i
\(293\) −8.53584 + 14.7845i −0.498669 + 0.863721i −0.999999 0.00153580i \(-0.999511\pi\)
0.501329 + 0.865256i \(0.332844\pi\)
\(294\) 30.0757 + 7.05917i 1.75405 + 0.411699i
\(295\) 9.19032 + 15.9181i 0.535081 + 0.926788i
\(296\) 8.74364 + 28.3462i 0.508214 + 1.64759i
\(297\) −8.46199 + 16.1075i −0.491015 + 0.934655i
\(298\) 17.9498 12.2380i 1.03980 0.708926i
\(299\) 2.38461 + 6.07590i 0.137906 + 0.351378i
\(300\) 7.97728 + 2.56272i 0.460568 + 0.147959i
\(301\) −8.08783 + 11.9330i −0.466175 + 0.687808i
\(302\) −11.1657 + 4.38222i −0.642514 + 0.252168i
\(303\) 19.8132 5.85991i 1.13824 0.336643i
\(304\) 34.5074 27.5188i 1.97914 1.57831i
\(305\) −11.4478 + 12.3378i −0.655499 + 0.706460i
\(306\) −2.18912 + 4.28751i −0.125144 + 0.245100i
\(307\) −7.42433 1.69455i −0.423729 0.0967134i 0.00533868 0.999986i \(-0.498301\pi\)
−0.429068 + 0.903272i \(0.641158\pi\)
\(308\) −15.0987 + 38.7841i −0.860330 + 2.20993i
\(309\) 1.71808 + 5.80910i 0.0977384 + 0.330468i
\(310\) −25.5804 32.0768i −1.45287 1.82184i
\(311\) 1.92399 + 1.31175i 0.109099 + 0.0743827i 0.616641 0.787245i \(-0.288493\pi\)
−0.507541 + 0.861627i \(0.669446\pi\)
\(312\) 44.8308 + 22.2358i 2.53804 + 1.25886i
\(313\) 6.09527 + 3.51910i 0.344525 + 0.198911i 0.662271 0.749264i \(-0.269593\pi\)
−0.317746 + 0.948176i \(0.602926\pi\)
\(314\) 25.7492 12.4002i 1.45311 0.699782i
\(315\) −13.4508 8.13849i −0.757869 0.458552i
\(316\) 39.9769 + 19.2519i 2.24888 + 1.08300i
\(317\) 1.19949 + 1.75934i 0.0673703 + 0.0988141i 0.858445 0.512905i \(-0.171431\pi\)
−0.791075 + 0.611719i \(0.790478\pi\)
\(318\) −9.43151 8.95768i −0.528893 0.502322i
\(319\) 8.88523 8.24429i 0.497478 0.461592i
\(320\) −0.0578606 0.0278642i −0.00323451 0.00155766i
\(321\) −4.81007 34.6440i −0.268472 1.93364i
\(322\) 1.46781 + 9.55988i 0.0817978 + 0.532751i
\(323\) −1.67580 3.47983i −0.0932439 0.193623i
\(324\) 28.3264 + 28.8500i 1.57369 + 1.60278i
\(325\) −4.24262 2.44948i −0.235338 0.135873i
\(326\) −2.96650 6.16000i −0.164299 0.341171i
\(327\) −5.51205 25.5152i −0.304817 1.41099i
\(328\) 4.22703 13.7037i 0.233399 0.756660i
\(329\) 2.39000 + 3.48486i 0.131765 + 0.192127i
\(330\) 19.3618 23.7075i 1.06583 1.30505i
\(331\) 1.25678 16.7705i 0.0690788 0.921792i −0.849763 0.527165i \(-0.823255\pi\)
0.918841 0.394627i \(-0.129126\pi\)
\(332\) 45.6019 + 42.3123i 2.50273 + 2.32219i
\(333\) 3.43536 13.5855i 0.188256 0.744480i
\(334\) −19.8272 21.3687i −1.08490 1.16924i
\(335\) 21.6918 + 3.26951i 1.18515 + 0.178633i
\(336\) 25.6008 + 20.7909i 1.39664 + 1.13424i
\(337\) −22.6398 + 3.41240i −1.23327 + 0.185885i −0.733146 0.680071i \(-0.761949\pi\)
−0.500120 + 0.865956i \(0.666711\pi\)
\(338\) −15.3343 12.2287i −0.834077 0.665154i
\(339\) 21.6137 16.8286i 1.17390 0.914003i
\(340\) 3.49391 4.38122i 0.189484 0.237605i
\(341\) 27.2014 8.39052i 1.47304 0.454372i
\(342\) −46.5062 + 5.90618i −2.51477 + 0.319370i
\(343\) −14.5745 11.4274i −0.786947 0.617020i
\(344\) −29.9663 + 17.3010i −1.61567 + 0.932809i
\(345\) 0.790180 4.85814i 0.0425419 0.261554i
\(346\) 2.15266 14.2820i 0.115728 0.767803i
\(347\) 18.1087 1.35706i 0.972127 0.0728509i 0.420812 0.907148i \(-0.361745\pi\)
0.551315 + 0.834297i \(0.314126\pi\)
\(348\) −11.4030 24.4011i −0.611266 1.30804i
\(349\) −23.5579 9.24580i −1.26103 0.494916i −0.361741 0.932279i \(-0.617817\pi\)
−0.899285 + 0.437363i \(0.855913\pi\)
\(350\) −5.33501 4.92294i −0.285168 0.263142i
\(351\) −12.6267 19.9850i −0.673963 1.06672i
\(352\) −14.4674 + 13.4238i −0.771116 + 0.715491i
\(353\) 7.30884 + 9.16499i 0.389010 + 0.487803i 0.937319 0.348473i \(-0.113300\pi\)
−0.548309 + 0.836276i \(0.684728\pi\)
\(354\) −6.57492 + 40.4236i −0.349453 + 2.14849i
\(355\) 7.42074 + 15.4093i 0.393852 + 0.817843i
\(356\) 54.0303 + 50.1327i 2.86360 + 2.65703i
\(357\) 2.27227 1.77926i 0.120261 0.0941684i
\(358\) −1.50247 + 1.39409i −0.0794082 + 0.0736801i
\(359\) −2.61555 1.02653i −0.138043 0.0541780i 0.295314 0.955400i \(-0.404576\pi\)
−0.433357 + 0.901222i \(0.642671\pi\)
\(360\) −20.5261 31.6654i −1.08182 1.66891i
\(361\) 9.30590 16.1183i 0.489784 0.848331i
\(362\) −18.9879 + 32.8881i −0.997984 + 1.72856i
\(363\) 1.07033 + 1.90472i 0.0561775 + 0.0999717i
\(364\) −33.8304 42.1836i −1.77320 2.21102i
\(365\) −15.5083 22.7465i −0.811741 1.19061i
\(366\) −37.1450 + 5.15731i −1.94160 + 0.269577i
\(367\) 3.67956 0.839835i 0.192071 0.0438390i −0.125403 0.992106i \(-0.540022\pi\)
0.317474 + 0.948267i \(0.397165\pi\)
\(368\) −3.04340 + 9.86647i −0.158648 + 0.514325i
\(369\) −5.07197 + 4.49099i −0.264036 + 0.233792i
\(370\) −10.2284 + 21.2395i −0.531749 + 1.10419i
\(371\) 2.86884 + 7.25101i 0.148943 + 0.376453i
\(372\) 0.736215 63.2507i 0.0381710 3.27940i
\(373\) 36.6423 1.89727 0.948633 0.316379i \(-0.102467\pi\)
0.948633 + 0.316379i \(0.102467\pi\)
\(374\) 2.80950 + 4.86619i 0.145276 + 0.251625i
\(375\) 10.2130 + 18.1747i 0.527395 + 0.938535i
\(376\) 1.51173 + 10.0297i 0.0779616 + 0.517241i
\(377\) 3.50424 + 15.3531i 0.180477 + 0.790723i
\(378\) −11.7423 33.0027i −0.603959 1.69748i
\(379\) −2.70014 + 11.8301i −0.138697 + 0.607671i 0.857025 + 0.515274i \(0.172310\pi\)
−0.995722 + 0.0923969i \(0.970547\pi\)
\(380\) 54.4179 + 4.07806i 2.79158 + 0.209200i
\(381\) 21.6776 + 3.52589i 1.11058 + 0.180637i
\(382\) −16.4788 + 41.9874i −0.843131 + 2.14826i
\(383\) −3.32954 14.5877i −0.170132 0.745396i −0.985944 0.167078i \(-0.946567\pi\)
0.815812 0.578317i \(-0.196290\pi\)
\(384\) −8.32656 17.8179i −0.424913 0.909264i
\(385\) −16.5109 + 8.00723i −0.841474 + 0.408086i
\(386\) −5.20555 + 4.15129i −0.264956 + 0.211295i
\(387\) 16.3414 + 0.380466i 0.830678 + 0.0193402i
\(388\) −26.3453 38.6414i −1.33748 1.96172i
\(389\) 13.2737 + 10.5854i 0.673004 + 0.536703i 0.899287 0.437359i \(-0.144086\pi\)
−0.226283 + 0.974062i \(0.572657\pi\)
\(390\) 14.0973 + 37.1862i 0.713843 + 1.88299i
\(391\) 0.782488 + 0.451770i 0.0395721 + 0.0228470i
\(392\) −19.5080 39.9455i −0.985303 2.01755i
\(393\) 0.251802 + 3.98139i 0.0127017 + 0.200834i
\(394\) −39.3682 36.5284i −1.98334 1.84027i
\(395\) 7.14727 + 18.2109i 0.359618 + 0.916292i
\(396\) 46.2408 9.42747i 2.32369 0.473748i
\(397\) 0.0401963 0.266685i 0.00201739 0.0133845i −0.987799 0.155731i \(-0.950227\pi\)
0.989817 + 0.142347i \(0.0454648\pi\)
\(398\) −0.372631 + 0.949449i −0.0186783 + 0.0475916i
\(399\) 26.7809 + 8.52228i 1.34072 + 0.426648i
\(400\) −2.83126 7.21394i −0.141563 0.360697i
\(401\) 4.55824 1.04039i 0.227628 0.0519545i −0.107186 0.994239i \(-0.534184\pi\)
0.334813 + 0.942285i \(0.391327\pi\)
\(402\) 32.8265 + 36.2150i 1.63724 + 1.80624i
\(403\) −8.22975 + 36.0569i −0.409953 + 1.79612i
\(404\) −44.2778 30.1881i −2.20291 1.50192i
\(405\) 0.503409 + 17.8192i 0.0250146 + 0.885443i
\(406\) 0.0641533 + 23.3353i 0.00318387 + 1.15811i
\(407\) −11.1251 11.9900i −0.551449 0.594321i
\(408\) 6.77111 1.46276i 0.335220 0.0724175i
\(409\) 10.6979 15.6910i 0.528978 0.775868i −0.465016 0.885302i \(-0.653951\pi\)
0.993994 + 0.109434i \(0.0349038\pi\)
\(410\) 9.86979 5.69832i 0.487434 0.281420i
\(411\) 30.4770 1.92751i 1.50332 0.0950771i
\(412\) 8.85094 12.9819i 0.436055 0.639575i
\(413\) 13.7749 20.3239i 0.677820 1.00008i
\(414\) 8.21076 7.27025i 0.403537 0.357313i
\(415\) 2.04968 + 27.3510i 0.100615 + 1.34261i
\(416\) −5.70579 24.9987i −0.279749 1.22566i
\(417\) −18.9719 4.56317i −0.929060 0.223459i
\(418\) −23.7415 + 49.2997i −1.16123 + 2.41133i
\(419\) 12.2359 8.34227i 0.597761 0.407546i −0.226292 0.974060i \(-0.572660\pi\)
0.824053 + 0.566513i \(0.191708\pi\)
\(420\) 5.71868 + 40.3731i 0.279043 + 1.97001i
\(421\) −16.5518 11.2848i −0.806684 0.549988i 0.0882959 0.996094i \(-0.471858\pi\)
−0.894980 + 0.446106i \(0.852810\pi\)
\(422\) 27.2583 15.7376i 1.32692 0.766095i
\(423\) 1.85386 4.41830i 0.0901379 0.214825i
\(424\) −1.39876 + 18.6651i −0.0679296 + 0.906458i
\(425\) −0.670584 + 0.101074i −0.0325281 + 0.00490282i
\(426\) −8.91170 + 37.0515i −0.431773 + 1.79515i
\(427\) 21.5012 + 6.56757i 1.04052 + 0.317827i
\(428\) −61.7036 + 66.5007i −2.98256 + 3.21443i
\(429\) −27.5906 0.321144i −1.33208 0.0155050i
\(430\) −26.8088 6.11894i −1.29284 0.295082i
\(431\) −1.72064 11.4157i −0.0828805 0.549876i −0.991280 0.131773i \(-0.957933\pi\)
0.908399 0.418103i \(-0.137305\pi\)
\(432\) 4.09470 37.1706i 0.197006 1.78837i
\(433\) −18.4921 14.7469i −0.888672 0.708692i 0.0686732 0.997639i \(-0.478123\pi\)
−0.957345 + 0.288947i \(0.906695\pi\)
\(434\) −23.6425 + 49.4414i −1.13488 + 2.37326i
\(435\) 3.63213 11.3062i 0.174147 0.542089i
\(436\) −42.2133 + 52.9338i −2.02165 + 2.53507i
\(437\) 0.657534 + 8.77418i 0.0314541 + 0.419726i
\(438\) 5.29567 61.1122i 0.253037 2.92005i
\(439\) 12.2371 13.1885i 0.584045 0.629451i −0.370029 0.929020i \(-0.620652\pi\)
0.954075 + 0.299569i \(0.0968429\pi\)
\(440\) −44.0460 −2.09981
\(441\) −1.94140 + 20.9101i −0.0924475 + 0.995718i
\(442\) −7.30041 −0.347245
\(443\) −15.2204 + 16.4037i −0.723145 + 0.779365i −0.982469 0.186425i \(-0.940310\pi\)
0.259324 + 0.965790i \(0.416500\pi\)
\(444\) −32.9275 + 15.3875i −1.56267 + 0.730260i
\(445\) 2.42851 + 32.4062i 0.115122 + 1.53620i
\(446\) −12.1664 + 15.2562i −0.576095 + 0.722400i
\(447\) 9.91790 + 10.9417i 0.469101 + 0.517523i
\(448\) 0.000235834 0.0857831i 1.11421e−5 0.00405287i
\(449\) −10.6523 8.49494i −0.502714 0.400901i 0.339032 0.940775i \(-0.389900\pi\)
−0.841746 + 0.539874i \(0.818472\pi\)
\(450\) −1.41593 + 8.10860i −0.0667476 + 0.382243i
\(451\) 1.17852 + 7.81895i 0.0554942 + 0.368180i
\(452\) −69.2663 15.8096i −3.25801 0.743620i
\(453\) −3.99438 7.10827i −0.187672 0.333975i
\(454\) 23.3706 25.1875i 1.09684 1.18211i
\(455\) 1.71628 23.7793i 0.0804606 1.11479i
\(456\) 48.9136 + 46.4563i 2.29059 + 2.17551i
\(457\) 21.9078 3.30207i 1.02480 0.154464i 0.384931 0.922945i \(-0.374225\pi\)
0.639873 + 0.768481i \(0.278987\pi\)
\(458\) 4.81449 64.2449i 0.224966 3.00197i
\(459\) −3.09145 1.07314i −0.144297 0.0500898i
\(460\) −11.0557 + 6.38303i −0.515476 + 0.297610i
\(461\) −0.983466 0.670516i −0.0458046 0.0312290i 0.540201 0.841536i \(-0.318348\pi\)
−0.586006 + 0.810307i \(0.699300\pi\)
\(462\) −39.7791 9.45215i −1.85069 0.439754i
\(463\) 0.0583096 0.0397548i 0.00270988 0.00184756i −0.561964 0.827161i \(-0.689954\pi\)
0.564674 + 0.825314i \(0.309002\pi\)
\(464\) −10.8087 + 22.4446i −0.501783 + 1.04196i
\(465\) 19.2062 20.2221i 0.890664 0.937777i
\(466\) 3.80476 + 16.6697i 0.176252 + 0.772210i
\(467\) 3.00550 + 40.1055i 0.139078 + 1.85586i 0.434721 + 0.900565i \(0.356847\pi\)
−0.295644 + 0.955298i \(0.595534\pi\)
\(468\) −19.4314 + 58.1531i −0.898215 + 2.68813i
\(469\) −8.71400 27.9768i −0.402375 1.29185i
\(470\) −4.54071 + 6.66000i −0.209447 + 0.307203i
\(471\) 10.7562 + 16.1779i 0.495621 + 0.745438i
\(472\) 51.0376 29.4666i 2.34919 1.35631i
\(473\) 10.7476 15.7638i 0.494173 0.724819i
\(474\) −13.3323 + 41.5009i −0.612371 + 1.90620i
\(475\) −4.49186 4.84107i −0.206101 0.222124i
\(476\) −7.30223 1.64558i −0.334697 0.0754250i
\(477\) 5.14957 7.18768i 0.235783 0.329101i
\(478\) 51.8254 + 35.3340i 2.37044 + 1.61614i
\(479\) −0.880262 + 3.85668i −0.0402202 + 0.176216i −0.991049 0.133502i \(-0.957378\pi\)
0.950828 + 0.309718i \(0.100235\pi\)
\(480\) −5.91403 + 18.4093i −0.269937 + 0.840266i
\(481\) 20.7178 4.72871i 0.944652 0.215611i
\(482\) 5.78230 + 14.7331i 0.263376 + 0.671072i
\(483\) −6.29950 + 1.88198i −0.286637 + 0.0856328i
\(484\) 2.07031 5.27506i 0.0941050 0.239776i
\(485\) 3.07325 20.3897i 0.139549 0.925849i
\(486\) −24.2458 + 31.4610i −1.09981 + 1.42710i
\(487\) 15.1725 + 38.6589i 0.687531 + 1.75180i 0.658924 + 0.752209i \(0.271012\pi\)
0.0286064 + 0.999591i \(0.490893\pi\)
\(488\) 39.5582 + 36.7046i 1.79071 + 1.66154i
\(489\) 3.87024 2.57322i 0.175018 0.116365i
\(490\) 10.2273 33.8152i 0.462024 1.52762i
\(491\) 6.41752 + 3.70516i 0.289619 + 0.167211i 0.637770 0.770227i \(-0.279857\pi\)
−0.348151 + 0.937438i \(0.613190\pi\)
\(492\) 17.3430 + 2.82085i 0.781882 + 0.127174i
\(493\) 1.70437 + 1.35919i 0.0767608 + 0.0612147i
\(494\) −40.0478 58.7393i −1.80183 2.64281i
\(495\) 17.7724 + 10.8201i 0.798810 + 0.486329i
\(496\) −45.7412 + 36.4774i −2.05384 + 1.63788i
\(497\) 14.1949 17.9006i 0.636728 0.802950i
\(498\) −35.0115 + 50.0898i −1.56890 + 2.24458i
\(499\) 5.50651 + 24.1256i 0.246505 + 1.08001i 0.934966 + 0.354736i \(0.115429\pi\)
−0.688461 + 0.725273i \(0.741713\pi\)
\(500\) 19.7547 50.3342i 0.883458 2.25102i
\(501\) 12.5341 15.3474i 0.559984 0.685672i
\(502\) 18.1848 + 1.36277i 0.811629 + 0.0608232i
\(503\) 0.00885664 0.0388035i 0.000394898 0.00173016i −0.974730 0.223386i \(-0.928289\pi\)
0.975125 + 0.221656i \(0.0711461\pi\)
\(504\) −26.0941 + 43.1269i −1.16232 + 1.92102i
\(505\) −5.25767 23.0354i −0.233963 1.02506i
\(506\) −1.90784 12.6577i −0.0848140 0.562704i
\(507\) 6.80016 11.4679i 0.302006 0.509306i
\(508\) −28.4819 49.3321i −1.26368 2.18876i
\(509\) 1.16489 0.0516329 0.0258165 0.999667i \(-0.491781\pi\)
0.0258165 + 0.999667i \(0.491781\pi\)
\(510\) 4.73523 + 2.80787i 0.209679 + 0.124335i
\(511\) −18.2993 + 31.8975i −0.809513 + 1.41106i
\(512\) −22.0612 + 45.8105i −0.974975 + 2.02456i
\(513\) −8.32423 30.7608i −0.367524 1.35812i
\(514\) −4.95270 + 16.0563i −0.218454 + 0.708211i
\(515\) 6.75380 1.54151i 0.297608 0.0679271i
\(516\) −26.0457 33.4517i −1.14660 1.47263i
\(517\) −3.15045 4.62087i −0.138557 0.203225i
\(518\) 31.4893 0.0865702i 1.38356 0.00380367i
\(519\) 9.81737 + 0.114271i 0.430935 + 0.00501592i
\(520\) 28.6131 49.5594i 1.25477 2.17332i
\(521\) −10.4855 + 18.1615i −0.459379 + 0.795669i −0.998928 0.0462857i \(-0.985262\pi\)
0.539549 + 0.841954i \(0.318595\pi\)
\(522\) 22.2032 14.3925i 0.971806 0.629941i
\(523\) 15.0200 + 5.89492i 0.656779 + 0.257767i 0.670242 0.742143i \(-0.266190\pi\)
−0.0134630 + 0.999909i \(0.504286\pi\)
\(524\) 7.58495 7.03780i 0.331350 0.307448i
\(525\) 2.81591 4.05231i 0.122896 0.176857i
\(526\) 60.1870 + 55.8454i 2.62428 + 2.43497i
\(527\) 2.22135 + 4.61268i 0.0967634 + 0.200931i
\(528\) −33.8066 27.6097i −1.47125 1.20156i
\(529\) 13.0569 + 16.3728i 0.567691 + 0.711862i
\(530\) −10.9040 + 10.1174i −0.473638 + 0.439472i
\(531\) −27.8321 0.647998i −1.20781 0.0281207i
\(532\) −26.8174 67.7811i −1.16268 2.93868i
\(533\) −9.56325 3.75330i −0.414231 0.162574i
\(534\) −41.4826 + 59.3477i −1.79513 + 2.56823i
\(535\) −39.8857 + 2.98902i −1.72441 + 0.129227i
\(536\) 10.4829 69.5496i 0.452793 3.00408i
\(537\) −1.07911 0.881300i −0.0465669 0.0380309i
\(538\) 8.57129 4.94864i 0.369535 0.213351i
\(539\) 19.2475 + 15.1770i 0.829050 + 0.653720i
\(540\) 34.9704 30.2459i 1.50489 1.30158i
\(541\) −20.3803 + 6.28649i −0.876217 + 0.270277i −0.700059 0.714085i \(-0.746843\pi\)
−0.176158 + 0.984362i \(0.556367\pi\)
\(542\) 11.8263 14.8298i 0.507985 0.636993i
\(543\) −23.9188 9.71020i −1.02645 0.416704i
\(544\) −2.77514 2.21310i −0.118983 0.0948860i
\(545\) −29.5178 + 4.44909i −1.26440 + 0.190578i
\(546\) 36.4766 38.6181i 1.56105 1.65270i
\(547\) 14.8321 + 2.23557i 0.634173 + 0.0955862i 0.458258 0.888819i \(-0.348474\pi\)
0.175915 + 0.984405i \(0.443712\pi\)
\(548\) −53.8734 58.0617i −2.30136 2.48027i
\(549\) −6.94489 24.5278i −0.296401 1.04682i
\(550\) 7.04291 + 6.53486i 0.300311 + 0.278647i
\(551\) −1.58643 + 21.1695i −0.0675843 + 0.901849i
\(552\) −15.5765 2.53352i −0.662979 0.107834i
\(553\) 17.7215 19.2049i 0.753595 0.816674i
\(554\) 13.1513 42.6356i 0.558747 1.81141i
\(555\) −15.2569 4.90130i −0.647617 0.208048i
\(556\) 21.9591 + 45.5985i 0.931272 + 1.93381i
\(557\) 15.7673 + 9.10324i 0.668081 + 0.385717i 0.795349 0.606152i \(-0.207288\pi\)
−0.127268 + 0.991868i \(0.540621\pi\)
\(558\) 61.6462 7.82892i 2.60969 0.331425i
\(559\) 10.7552 + 22.3333i 0.454895 + 0.944598i
\(560\) 25.5761 27.7169i 1.08079 1.17125i
\(561\) −3.01379 + 2.34656i −0.127243 + 0.0990718i
\(562\) −17.4317 8.39466i −0.735311 0.354107i
\(563\) −2.26579 + 2.10234i −0.0954915 + 0.0886032i −0.726474 0.687194i \(-0.758842\pi\)
0.630983 + 0.775797i \(0.282652\pi\)
\(564\) −11.9173 + 3.52462i −0.501807 + 0.148413i
\(565\) −17.6460 25.8819i −0.742373 1.08886i
\(566\) −29.1238 14.0253i −1.22416 0.589527i
\(567\) 21.1232 10.9914i 0.887091 0.461594i
\(568\) 49.4063 23.7928i 2.07304 0.998325i
\(569\) 33.9650 + 19.6097i 1.42389 + 0.822080i 0.996628 0.0820498i \(-0.0261467\pi\)
0.427257 + 0.904130i \(0.359480\pi\)
\(570\) 3.38378 + 53.5029i 0.141731 + 2.24099i
\(571\) 6.49830 + 4.43047i 0.271945 + 0.185409i 0.691612 0.722269i \(-0.256901\pi\)
−0.419667 + 0.907678i \(0.637853\pi\)
\(572\) 44.6206 + 55.9525i 1.86568 + 2.33949i
\(573\) −29.8109 7.17017i −1.24537 0.299538i
\(574\) −12.6016 8.54095i −0.525979 0.356492i
\(575\) 1.50618 + 0.343777i 0.0628122 + 0.0143365i
\(576\) 0.0816212 0.0529082i 0.00340088 0.00220451i
\(577\) −15.7045 + 16.9254i −0.653785 + 0.704613i −0.969734 0.244163i \(-0.921487\pi\)
0.315949 + 0.948776i \(0.397677\pi\)
\(578\) 33.0759 26.3772i 1.37578 1.09715i
\(579\) −3.28172 3.11685i −0.136384 0.129532i
\(580\) −28.6715 + 11.2527i −1.19052 + 0.467245i
\(581\) 31.6781 18.4057i 1.31423 0.763595i
\(582\) 34.0411 30.8560i 1.41105 1.27902i
\(583\) −3.77049 9.60705i −0.156158 0.397883i
\(584\) −72.9311 + 49.7236i −3.01791 + 2.05758i
\(585\) −23.7198 + 12.9681i −0.980693 + 0.536163i
\(586\) 12.8215 + 41.5664i 0.529653 + 1.71709i
\(587\) 6.16359 + 10.6757i 0.254399 + 0.440631i 0.964732 0.263234i \(-0.0847892\pi\)
−0.710333 + 0.703865i \(0.751456\pi\)
\(588\) 45.1906 30.4056i 1.86363 1.25391i
\(589\) −24.9281 + 43.1767i −1.02714 + 1.77907i
\(590\) 45.6599 + 10.4216i 1.87979 + 0.429050i
\(591\) 20.9145 29.9216i 0.860307 1.23081i
\(592\) 30.2873 + 14.5856i 1.24480 + 0.599464i
\(593\) −5.10735 0.769810i −0.209734 0.0316123i 0.0433348 0.999061i \(-0.486202\pi\)
−0.253069 + 0.967448i \(0.581440\pi\)
\(594\) 15.4207 + 43.7214i 0.632720 + 1.79391i
\(595\) −1.86662 2.72172i −0.0765239 0.111580i
\(596\) 5.70872 37.8749i 0.233838 1.55141i
\(597\) −0.674104 0.162137i −0.0275893 0.00663583i
\(598\) 15.4815 + 6.07603i 0.633085 + 0.248468i
\(599\) −1.44877 4.69680i −0.0591952 0.191906i 0.921145 0.389219i \(-0.127255\pi\)
−0.980341 + 0.197312i \(0.936779\pi\)
\(600\) 10.3260 5.80254i 0.421558 0.236888i
\(601\) −2.43233 7.88543i −0.0992169 0.321653i 0.892333 0.451377i \(-0.149067\pi\)
−0.991550 + 0.129724i \(0.958591\pi\)
\(602\) 8.27189 + 35.7877i 0.337137 + 1.45860i
\(603\) −21.3150 + 25.4878i −0.868014 + 1.03794i
\(604\) −7.72625 + 19.6862i −0.314377 + 0.801018i
\(605\) 2.25107 1.08406i 0.0915189 0.0440732i
\(606\) 23.3928 47.1635i 0.950268 1.91588i
\(607\) 14.9473i 0.606692i 0.952881 + 0.303346i \(0.0981038\pi\)
−0.952881 + 0.303346i \(0.901896\pi\)
\(608\) 2.58311 34.4692i 0.104759 1.39791i
\(609\) −15.7058 + 2.22466i −0.636431 + 0.0901477i
\(610\) 3.20480 + 42.7650i 0.129758 + 1.73151i
\(611\) 7.24587 0.543003i 0.293136 0.0219675i
\(612\) 2.91612 + 7.97092i 0.117877 + 0.322205i
\(613\) −14.4157 4.44664i −0.582243 0.179598i −0.0103785 0.999946i \(-0.503304\pi\)
−0.571865 + 0.820348i \(0.693780\pi\)
\(614\) −16.0322 + 10.9306i −0.647006 + 0.441121i
\(615\) 4.75938 + 6.11269i 0.191917 + 0.246487i
\(616\) 25.6733 + 52.9383i 1.03441 + 2.13294i
\(617\) −0.0883203 0.00661869i −0.00355564 0.000266458i 0.0729522 0.997335i \(-0.476758\pi\)
−0.0765078 + 0.997069i \(0.524377\pi\)
\(618\) 13.8280 + 6.85861i 0.556243 + 0.275894i
\(619\) 7.66281i 0.307994i 0.988071 + 0.153997i \(0.0492147\pi\)
−0.988071 + 0.153997i \(0.950785\pi\)
\(620\) −72.1335 5.40566i −2.89695 0.217096i
\(621\) 5.66267 + 4.84870i 0.227235 + 0.194572i
\(622\) 5.78457 1.32029i 0.231940 0.0529389i
\(623\) 37.5330 21.8075i 1.50373 0.873698i
\(624\) 53.0271 20.1025i 2.12278 0.804746i
\(625\) 16.6286 8.00790i 0.665143 0.320316i
\(626\) 17.1367 5.28598i 0.684922 0.211270i
\(627\) −35.4132 11.3766i −1.41427 0.454337i
\(628\) 14.8522 48.1496i 0.592667 1.92138i
\(629\) 1.83412 2.29992i 0.0731313 0.0917038i
\(630\) −38.5128 + 11.0191i −1.53439 + 0.439012i
\(631\) 12.4176 + 15.5712i 0.494337 + 0.619879i 0.964941 0.262465i \(-0.0845355\pi\)
−0.470604 + 0.882344i \(0.655964\pi\)
\(632\) 58.3890 22.9160i 2.32259 0.911549i
\(633\) 13.1444 + 16.8820i 0.522444 + 0.670999i
\(634\) 5.36497 + 0.808639i 0.213070 + 0.0321152i
\(635\) 5.58871 24.4857i 0.221781 0.971686i
\(636\) −22.8876 + 1.44752i −0.907552 + 0.0573980i
\(637\) −29.5803 + 11.7975i −1.17202 + 0.467435i
\(638\) 30.8842i 1.22272i
\(639\) −25.7801 2.53660i −1.01984 0.100346i
\(640\) −20.9361 + 8.21683i −0.827574 + 0.324799i
\(641\) 3.02423 6.27988i 0.119450 0.248041i −0.832667 0.553774i \(-0.813187\pi\)
0.952117 + 0.305733i \(0.0989016\pi\)
\(642\) −73.0454 51.0569i −2.88287 2.01506i
\(643\) −3.48035 23.0906i −0.137252 0.910606i −0.946399 0.323000i \(-0.895309\pi\)
0.809147 0.587606i \(-0.199929\pi\)
\(644\) 14.1158 + 9.56722i 0.556239 + 0.377001i
\(645\) 1.61374 18.6226i 0.0635408 0.733263i
\(646\) −9.40404 2.90076i −0.369997 0.114129i
\(647\) 18.5241 2.79206i 0.728257 0.109767i 0.225559 0.974229i \(-0.427579\pi\)
0.502698 + 0.864462i \(0.332341\pi\)
\(648\) 57.1330 1.61406i 2.24440 0.0634062i
\(649\) −18.3049 + 26.8484i −0.718530 + 1.05389i
\(650\) −11.9281 + 3.67932i −0.467857 + 0.144315i
\(651\) −35.4994 11.2967i −1.39133 0.442752i
\(652\) −11.5189 3.55310i −0.451114 0.139150i
\(653\) 9.41586 7.50890i 0.368471 0.293846i −0.421696 0.906737i \(-0.638565\pi\)
0.790167 + 0.612891i \(0.209994\pi\)
\(654\) −57.2109 33.9246i −2.23712 1.32656i
\(655\) 4.56205 0.178254
\(656\) −8.12575 14.0742i −0.317257 0.549506i
\(657\) 41.6423 2.14738i 1.62462 0.0837771i
\(658\) 10.6512 + 1.57548i 0.415227 + 0.0614185i
\(659\) −18.5554 + 1.39053i −0.722815 + 0.0541675i −0.431057 0.902325i \(-0.641859\pi\)
−0.291758 + 0.956492i \(0.594240\pi\)
\(660\) −7.42170 53.4541i −0.288889 2.08070i
\(661\) −30.5351 32.9090i −1.18768 1.28001i −0.951270 0.308360i \(-0.900220\pi\)
−0.236409 0.971654i \(-0.575971\pi\)
\(662\) −29.1464 31.4123i −1.13281 1.22087i
\(663\) −0.682468 4.91541i −0.0265048 0.190899i
\(664\) 87.6945 6.57179i 3.40321 0.255035i
\(665\) 11.6593 29.9494i 0.452130 1.16139i
\(666\) −19.4216 29.9615i −0.752570 1.16099i
\(667\) −2.48310 4.30086i −0.0961461 0.166530i
\(668\) −51.3947 −1.98852
\(669\) −11.4094 6.76549i −0.441113 0.261569i
\(670\) 43.7008 34.8502i 1.68831 1.34638i
\(671\) −28.4327 8.77032i −1.09763 0.338575i
\(672\) 25.5730 3.62231i 0.986500 0.139734i
\(673\) 24.1550 7.45083i 0.931107 0.287208i 0.208146 0.978098i \(-0.433257\pi\)
0.722961 + 0.690889i \(0.242781\pi\)
\(674\) −32.8630 + 48.2012i −1.26584 + 1.85664i
\(675\) −5.59193 0.195335i −0.215233 0.00751843i
\(676\) −34.1939 + 5.15390i −1.31515 + 0.198227i
\(677\) −15.8129 4.87763i −0.607738 0.187462i −0.0244143 0.999702i \(-0.507772\pi\)
−0.583324 + 0.812239i \(0.698248\pi\)
\(678\) 6.02564 69.5361i 0.231413 2.67052i
\(679\) −26.2974 + 8.19092i −1.00920 + 0.314339i
\(680\) −1.18068 7.83330i −0.0452770 0.300393i
\(681\) 19.1437 + 13.3810i 0.733587 + 0.512759i
\(682\) 31.4704 65.3491i 1.20507 2.50234i
\(683\) 0.753423 0.295697i 0.0288289 0.0113145i −0.350883 0.936419i \(-0.614118\pi\)
0.379712 + 0.925105i \(0.376023\pi\)
\(684\) −48.1372 + 67.1892i −1.84057 + 2.56904i
\(685\) 34.9218i 1.33429i
\(686\) −46.6033 + 7.41790i −1.77932 + 0.283217i
\(687\) 43.7065 2.76421i 1.66751 0.105461i
\(688\) −8.72555 + 38.2291i −0.332658 + 1.45747i
\(689\) 13.2590 + 1.99847i 0.505127 + 0.0761356i
\(690\) −7.70472 9.89553i −0.293314 0.376716i
\(691\) −0.586269 + 0.230093i −0.0223027 + 0.00875317i −0.376466 0.926430i \(-0.622861\pi\)
0.354163 + 0.935184i \(0.384766\pi\)
\(692\) −15.8771 19.9092i −0.603556 0.756835i
\(693\) 2.64550 27.6671i 0.100494 1.05099i
\(694\) 28.8493 36.1759i 1.09510 1.37322i
\(695\) −6.57724 + 21.3229i −0.249489 + 0.808823i
\(696\) −36.2505 11.6456i −1.37407 0.441424i
\(697\) −1.35896 + 0.419183i −0.0514742 + 0.0158777i
\(698\) −58.0976 + 27.9783i −2.19902 + 1.05899i
\(699\) −10.8681 + 4.12011i −0.411071 + 0.155837i
\(700\) −12.7604 + 0.991543i −0.482297 + 0.0374768i
\(701\) 30.0749 6.86439i 1.13591 0.259264i 0.387094 0.922040i \(-0.373479\pi\)
0.748818 + 0.662776i \(0.230622\pi\)
\(702\) −59.2117 11.0513i −2.23480 0.417103i
\(703\) 28.5666 + 2.14077i 1.07741 + 0.0807408i
\(704\) 0.113534i 0.00427896i
\(705\) −4.90870 2.43469i −0.184872 0.0916956i
\(706\) 29.7855 + 2.23211i 1.12099 + 0.0840067i
\(707\) −24.6213 + 19.7458i −0.925979 + 0.742618i
\(708\) 44.3602 + 56.9739i 1.66716 + 2.14121i
\(709\) −28.1333 + 19.1810i −1.05657 + 0.720356i −0.961414 0.275106i \(-0.911287\pi\)
−0.0951545 + 0.995463i \(0.530335\pi\)
\(710\) 41.6428 + 12.8451i 1.56283 + 0.482068i
\(711\) −29.1892 5.09704i −1.09468 0.191154i
\(712\) 103.903 7.78643i 3.89392 0.291809i
\(713\) −0.871592 11.6306i −0.0326414 0.435569i
\(714\) 0.614700 7.32783i 0.0230046 0.274237i
\(715\) −2.35800 + 31.4653i −0.0881842 + 1.17674i
\(716\) 3.61366i 0.135049i
\(717\) −18.9458 + 38.1975i −0.707542 + 1.42651i
\(718\) −6.45036 + 3.10633i −0.240725 + 0.115927i
\(719\) 9.05692 23.0767i 0.337766 0.860614i −0.656563 0.754271i \(-0.727991\pi\)
0.994329 0.106343i \(-0.0339143\pi\)
\(720\) −42.1265 7.35617i −1.56996 0.274148i
\(721\) −5.78933 7.21879i −0.215606 0.268842i
\(722\) −13.9782 45.3163i −0.520216 1.68650i
\(723\) −9.37930 + 5.27055i −0.348820 + 0.196014i
\(724\) 19.7353 + 63.9803i 0.733457 + 2.37781i
\(725\) 3.46976 + 1.36178i 0.128864 + 0.0505752i
\(726\) 5.41265 + 1.30186i 0.200882 + 0.0483167i
\(727\) −1.16679 + 7.74111i −0.0432737 + 0.287102i −0.999992 0.00391234i \(-0.998755\pi\)
0.956719 + 0.291014i \(0.0939928\pi\)
\(728\) −76.2425 5.50285i −2.82574 0.203949i
\(729\) −23.4494 13.3837i −0.868497 0.495694i
\(730\) −69.3638 10.4549i −2.56727 0.386954i
\(731\) 3.09158 + 1.48883i 0.114346 + 0.0550662i
\(732\) −37.8790 + 54.1923i −1.40005 + 2.00300i
\(733\) −47.7962 10.9092i −1.76539 0.402940i −0.788223 0.615390i \(-0.788998\pi\)
−0.977172 + 0.212451i \(0.931856\pi\)
\(734\) 4.80834 8.32829i 0.177479 0.307403i
\(735\) 23.7241 + 3.72496i 0.875076 + 0.137397i
\(736\) 4.04312 + 7.00289i 0.149031 + 0.258130i
\(737\) 11.4311 + 37.0586i 0.421069 + 1.36507i
\(738\) −0.401782 + 17.2569i −0.0147898 + 0.635234i
\(739\) 7.24648 4.94057i 0.266566 0.181742i −0.422659 0.906289i \(-0.638903\pi\)
0.689226 + 0.724547i \(0.257951\pi\)
\(740\) 15.1847 + 38.6901i 0.558202 + 1.42228i
\(741\) 35.8057 32.4555i 1.31535 1.19228i
\(742\) 18.5156 + 7.20815i 0.679729 + 0.264620i
\(743\) 22.0079 8.63747i 0.807392 0.316878i 0.0744982 0.997221i \(-0.476264\pi\)
0.732894 + 0.680343i \(0.238169\pi\)
\(744\) −64.8373 61.5799i −2.37705 2.25763i
\(745\) 13.2033 10.5293i 0.483733 0.385764i
\(746\) 63.5044 68.4415i 2.32506 2.50582i
\(747\) −36.9988 18.8909i −1.35371 0.691182i
\(748\) 9.65842 + 2.20447i 0.353147 + 0.0806035i
\(749\) 26.8407 + 46.1958i 0.980740 + 1.68796i
\(750\) 51.6471 + 12.4223i 1.88589 + 0.453597i
\(751\) −4.86599 6.10176i −0.177563 0.222656i 0.685083 0.728465i \(-0.259766\pi\)
−0.862646 + 0.505808i \(0.831194\pi\)
\(752\) 9.49709 + 6.47500i 0.346323 + 0.236119i
\(753\) 0.782424 + 12.3714i 0.0285131 + 0.450837i
\(754\) 34.7501 + 20.0630i 1.26552 + 0.730650i
\(755\) −8.40082 + 4.04562i −0.305737 + 0.147235i
\(756\) −56.7354 24.4009i −2.06345 0.887452i
\(757\) 18.4807 + 8.89982i 0.671691 + 0.323469i 0.738458 0.674299i \(-0.235554\pi\)
−0.0667672 + 0.997769i \(0.521268\pi\)
\(758\) 17.4170 + 25.5460i 0.632614 + 0.927874i
\(759\) 8.34416 2.46785i 0.302874 0.0895772i
\(760\) 56.5501 52.4708i 2.05129 1.90332i
\(761\) 3.20380 + 1.54287i 0.116138 + 0.0559289i 0.491050 0.871131i \(-0.336613\pi\)
−0.374913 + 0.927060i \(0.622327\pi\)
\(762\) 44.1551 34.3794i 1.59957 1.24544i
\(763\) 22.5524 + 32.8837i 0.816453 + 1.19047i
\(764\) 34.5046 + 71.6495i 1.24833 + 2.59219i
\(765\) −1.44789 + 3.45074i −0.0523486 + 0.124762i
\(766\) −33.0177 19.0628i −1.19298 0.688766i
\(767\) −18.3178 38.0374i −0.661418 1.37345i
\(768\) −47.6045 15.2930i −1.71778 0.551840i
\(769\) 9.54585 30.9469i 0.344232 1.11597i −0.603622 0.797270i \(-0.706276\pi\)
0.947855 0.318703i \(-0.103247\pi\)
\(770\) −13.6588 + 44.7168i −0.492229 + 1.61148i
\(771\) −11.2738 1.83369i −0.406015 0.0660386i
\(772\) −0.877252 + 11.7061i −0.0315730 + 0.421312i
\(773\)