Properties

Label 637.2.bl.a.235.27
Level $637$
Weight $2$
Character 637.235
Analytic conductor $5.086$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(27\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 235.27
Character \(\chi\) \(=\) 637.235
Dual form 637.2.bl.a.534.27

$q$-expansion

\(f(q)\) \(=\) \(q+(2.72488 + 0.410710i) q^{2} +(0.680220 - 0.463766i) q^{3} +(5.34515 + 1.64876i) q^{4} +(0.189463 + 2.52821i) q^{5} +(2.04399 - 0.984335i) q^{6} +(-1.91733 - 1.82314i) q^{7} +(8.92220 + 4.29671i) q^{8} +(-0.848403 + 2.16170i) q^{9} +O(q^{10})\) \(q+(2.72488 + 0.410710i) q^{2} +(0.680220 - 0.463766i) q^{3} +(5.34515 + 1.64876i) q^{4} +(0.189463 + 2.52821i) q^{5} +(2.04399 - 0.984335i) q^{6} +(-1.91733 - 1.82314i) q^{7} +(8.92220 + 4.29671i) q^{8} +(-0.848403 + 2.16170i) q^{9} +(-0.522097 + 6.96690i) q^{10} +(-2.37076 - 6.04061i) q^{11} +(4.40052 - 1.35738i) q^{12} +(-0.623490 + 0.781831i) q^{13} +(-4.47571 - 5.75531i) q^{14} +(1.30138 + 1.63188i) q^{15} +(13.3038 + 9.07041i) q^{16} +(-3.06627 - 2.84508i) q^{17} +(-3.19963 + 5.54191i) q^{18} +(-0.335953 - 0.581888i) q^{19} +(-3.15571 + 13.8261i) q^{20} +(-2.14972 - 0.350945i) q^{21} +(-3.97911 - 17.4336i) q^{22} +(0.258963 - 0.240283i) q^{23} +(8.06173 - 1.21511i) q^{24} +(-1.41182 + 0.212797i) q^{25} +(-2.02004 + 1.87432i) q^{26} +(0.975007 + 4.27178i) q^{27} +(-7.24249 - 12.9062i) q^{28} +(1.18836 - 5.20655i) q^{29} +(2.87587 + 4.98115i) q^{30} +(-3.77071 + 6.53106i) q^{31} +(18.0074 + 16.7084i) q^{32} +(-4.41407 - 3.00946i) q^{33} +(-7.18671 - 9.01185i) q^{34} +(4.24603 - 5.19284i) q^{35} +(-8.09895 + 10.1558i) q^{36} +(2.53064 - 0.780600i) q^{37} +(-0.676446 - 1.72356i) q^{38} +(-0.0615233 + 0.820971i) q^{39} +(-9.17256 + 23.3713i) q^{40} +(-7.57825 - 3.64949i) q^{41} +(-5.71359 - 1.83919i) q^{42} +(5.72717 - 2.75806i) q^{43} +(-2.71257 - 36.1968i) q^{44} +(-5.62597 - 1.73538i) q^{45} +(0.804330 - 0.548383i) q^{46} +(9.21729 + 1.38928i) q^{47} +13.2561 q^{48} +(0.352309 + 6.99113i) q^{49} -3.93443 q^{50} +(-3.40519 - 0.513250i) q^{51} +(-4.62170 + 3.15102i) q^{52} +(-0.141235 - 0.0435651i) q^{53} +(0.902314 + 12.0405i) q^{54} +(14.8228 - 7.13827i) q^{55} +(-9.27330 - 24.5046i) q^{56} +(-0.498382 - 0.240008i) q^{57} +(5.37653 - 13.6992i) q^{58} +(0.485859 - 6.48333i) q^{59} +(4.26548 + 10.8683i) q^{60} +(0.758961 - 0.234108i) q^{61} +(-12.9571 + 16.2477i) q^{62} +(5.56774 - 2.59792i) q^{63} +(22.1272 + 27.7467i) q^{64} +(-2.09477 - 1.42819i) q^{65} +(-10.7918 - 10.0133i) q^{66} +(-4.66527 + 8.08048i) q^{67} +(-11.6988 - 20.2629i) q^{68} +(0.0647170 - 0.283543i) q^{69} +(13.7027 - 12.4060i) q^{70} +(2.58433 + 11.3227i) q^{71} +(-16.8578 + 15.6417i) q^{72} +(-12.3313 + 1.85865i) q^{73} +(7.21631 - 1.08768i) q^{74} +(-0.861657 + 0.799501i) q^{75} +(-0.836327 - 3.66419i) q^{76} +(-6.46735 + 15.9041i) q^{77} +(-0.504824 + 2.21178i) q^{78} +(-2.18860 - 3.79077i) q^{79} +(-20.4113 + 35.3535i) q^{80} +(-2.46260 - 2.28496i) q^{81} +(-19.1509 - 13.0569i) q^{82} +(8.55442 + 10.7269i) q^{83} +(-10.9119 - 5.42022i) q^{84} +(6.61203 - 8.29122i) q^{85} +(16.7386 - 5.16318i) q^{86} +(-1.60628 - 4.09272i) q^{87} +(4.80228 - 64.0820i) q^{88} +(-0.924152 + 2.35470i) q^{89} +(-14.6174 - 7.03935i) q^{90} +(2.62083 - 0.362319i) q^{91} +(1.78036 - 0.857378i) q^{92} +(0.463973 + 6.19129i) q^{93} +(24.5454 + 7.57126i) q^{94} +(1.40749 - 0.959609i) q^{95} +(19.9978 + 3.01418i) q^{96} -5.30298 q^{97} +(-1.91132 + 19.1947i) q^{98} +15.0693 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324 q - 3 q^{2} + 25 q^{4} + q^{5} - 24 q^{6} - 21 q^{7} + 24 q^{8} + 11 q^{9} + O(q^{10}) \) \( 324 q - 3 q^{2} + 25 q^{4} + q^{5} - 24 q^{6} - 21 q^{7} + 24 q^{8} + 11 q^{9} - 5 q^{10} - 18 q^{11} - 40 q^{12} + 54 q^{13} - 15 q^{14} + 6 q^{15} + 29 q^{16} - 6 q^{17} + 49 q^{18} - 24 q^{19} + 11 q^{20} - 6 q^{22} - 42 q^{23} + 20 q^{24} + 14 q^{25} + 3 q^{26} - 33 q^{27} + 7 q^{28} - 22 q^{29} + 57 q^{30} - 31 q^{31} - 139 q^{32} + 6 q^{33} + 50 q^{34} + 42 q^{35} - 78 q^{36} - 4 q^{37} - 90 q^{38} + 40 q^{40} + 8 q^{41} + 20 q^{42} + 34 q^{43} - 256 q^{44} + 19 q^{45} + 85 q^{46} + 34 q^{47} - 10 q^{48} + 51 q^{49} - 54 q^{50} + 74 q^{51} - 25 q^{52} + 10 q^{53} + 111 q^{54} - 10 q^{55} - 196 q^{56} - 5 q^{57} - 21 q^{58} + 65 q^{59} + 87 q^{60} + 3 q^{61} - 54 q^{62} - 35 q^{63} - 28 q^{64} - q^{65} - 110 q^{66} + 135 q^{67} - 158 q^{68} + 42 q^{69} + 44 q^{70} + 9 q^{71} - 133 q^{72} + 31 q^{73} - 97 q^{74} - 315 q^{75} - 177 q^{76} + 6 q^{77} - 25 q^{78} + 43 q^{79} - 20 q^{80} - 259 q^{81} + 96 q^{82} + 59 q^{83} + 285 q^{84} + 6 q^{85} + 95 q^{86} - 206 q^{87} + 228 q^{88} + 43 q^{89} - 61 q^{90} - 7 q^{91} + 53 q^{92} - 10 q^{93} - 36 q^{94} - 17 q^{95} + 277 q^{96} + 66 q^{97} + 260 q^{98} - 206 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{17}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.72488 + 0.410710i 1.92678 + 0.290416i 0.996981 0.0776474i \(-0.0247409\pi\)
0.929801 + 0.368063i \(0.119979\pi\)
\(3\) 0.680220 0.463766i 0.392725 0.267756i −0.350818 0.936444i \(-0.614096\pi\)
0.743543 + 0.668688i \(0.233144\pi\)
\(4\) 5.34515 + 1.64876i 2.67257 + 0.824380i
\(5\) 0.189463 + 2.52821i 0.0847306 + 1.13065i 0.863841 + 0.503765i \(0.168052\pi\)
−0.779110 + 0.626887i \(0.784329\pi\)
\(6\) 2.04399 0.984335i 0.834456 0.401853i
\(7\) −1.91733 1.82314i −0.724683 0.689083i
\(8\) 8.92220 + 4.29671i 3.15447 + 1.51911i
\(9\) −0.848403 + 2.16170i −0.282801 + 0.720565i
\(10\) −0.522097 + 6.96690i −0.165101 + 2.20313i
\(11\) −2.37076 6.04061i −0.714812 1.82131i −0.550362 0.834926i \(-0.685510\pi\)
−0.164451 0.986385i \(-0.552585\pi\)
\(12\) 4.40052 1.35738i 1.27032 0.391842i
\(13\) −0.623490 + 0.781831i −0.172925 + 0.216841i
\(14\) −4.47571 5.75531i −1.19618 1.53817i
\(15\) 1.30138 + 1.63188i 0.336014 + 0.421348i
\(16\) 13.3038 + 9.07041i 3.32596 + 2.26760i
\(17\) −3.06627 2.84508i −0.743679 0.690033i 0.214333 0.976761i \(-0.431242\pi\)
−0.958012 + 0.286727i \(0.907433\pi\)
\(18\) −3.19963 + 5.54191i −0.754159 + 1.30624i
\(19\) −0.335953 0.581888i −0.0770730 0.133494i 0.824913 0.565260i \(-0.191224\pi\)
−0.901986 + 0.431766i \(0.857891\pi\)
\(20\) −3.15571 + 13.8261i −0.705638 + 3.09160i
\(21\) −2.14972 0.350945i −0.469107 0.0765824i
\(22\) −3.97911 17.4336i −0.848350 3.71686i
\(23\) 0.258963 0.240283i 0.0539976 0.0501024i −0.652712 0.757606i \(-0.726369\pi\)
0.706710 + 0.707503i \(0.250179\pi\)
\(24\) 8.06173 1.21511i 1.64559 0.248033i
\(25\) −1.41182 + 0.212797i −0.282363 + 0.0425594i
\(26\) −2.02004 + 1.87432i −0.396163 + 0.367585i
\(27\) 0.975007 + 4.27178i 0.187640 + 0.822105i
\(28\) −7.24249 12.9062i −1.36870 2.43904i
\(29\) 1.18836 5.20655i 0.220673 0.966832i −0.736300 0.676655i \(-0.763429\pi\)
0.956973 0.290177i \(-0.0937142\pi\)
\(30\) 2.87587 + 4.98115i 0.525060 + 0.909430i
\(31\) −3.77071 + 6.53106i −0.677240 + 1.17301i 0.298569 + 0.954388i \(0.403491\pi\)
−0.975809 + 0.218626i \(0.929843\pi\)
\(32\) 18.0074 + 16.7084i 3.18329 + 2.95366i
\(33\) −4.41407 3.00946i −0.768391 0.523880i
\(34\) −7.18671 9.01185i −1.23251 1.54552i
\(35\) 4.24603 5.19284i 0.717710 0.877750i
\(36\) −8.09895 + 10.1558i −1.34983 + 1.69263i
\(37\) 2.53064 0.780600i 0.416035 0.128330i −0.0796687 0.996821i \(-0.525386\pi\)
0.495704 + 0.868491i \(0.334910\pi\)
\(38\) −0.676446 1.72356i −0.109734 0.279598i
\(39\) −0.0615233 + 0.820971i −0.00985161 + 0.131461i
\(40\) −9.17256 + 23.3713i −1.45031 + 3.69533i
\(41\) −7.57825 3.64949i −1.18352 0.569955i −0.264587 0.964362i \(-0.585236\pi\)
−0.918936 + 0.394407i \(0.870950\pi\)
\(42\) −5.71359 1.83919i −0.881626 0.283794i
\(43\) 5.72717 2.75806i 0.873385 0.420600i 0.0571810 0.998364i \(-0.481789\pi\)
0.816204 + 0.577764i \(0.196074\pi\)
\(44\) −2.71257 36.1968i −0.408936 5.45687i
\(45\) −5.62597 1.73538i −0.838670 0.258695i
\(46\) 0.804330 0.548383i 0.118592 0.0808547i
\(47\) 9.21729 + 1.38928i 1.34448 + 0.202648i 0.781543 0.623852i \(-0.214433\pi\)
0.562937 + 0.826500i \(0.309671\pi\)
\(48\) 13.2561 1.91335
\(49\) 0.352309 + 6.99113i 0.0503299 + 0.998733i
\(50\) −3.93443 −0.556412
\(51\) −3.40519 0.513250i −0.476822 0.0718693i
\(52\) −4.62170 + 3.15102i −0.640914 + 0.436968i
\(53\) −0.141235 0.0435651i −0.0194001 0.00598413i 0.285040 0.958516i \(-0.407993\pi\)
−0.304440 + 0.952532i \(0.598469\pi\)
\(54\) 0.902314 + 12.0405i 0.122789 + 1.63851i
\(55\) 14.8228 7.13827i 1.99870 0.962524i
\(56\) −9.27330 24.5046i −1.23920 3.27457i
\(57\) −0.498382 0.240008i −0.0660124 0.0317899i
\(58\) 5.37653 13.6992i 0.705972 1.79879i
\(59\) 0.485859 6.48333i 0.0632534 0.844058i −0.871870 0.489737i \(-0.837093\pi\)
0.935124 0.354321i \(-0.115288\pi\)
\(60\) 4.26548 + 10.8683i 0.550671 + 1.40309i
\(61\) 0.758961 0.234108i 0.0971750 0.0299745i −0.245786 0.969324i \(-0.579046\pi\)
0.342961 + 0.939349i \(0.388570\pi\)
\(62\) −12.9571 + 16.2477i −1.64555 + 2.06346i
\(63\) 5.56774 2.59792i 0.701470 0.327308i
\(64\) 22.1272 + 27.7467i 2.76591 + 3.46834i
\(65\) −2.09477 1.42819i −0.259824 0.177145i
\(66\) −10.7918 10.0133i −1.32838 1.23256i
\(67\) −4.66527 + 8.08048i −0.569953 + 0.987188i 0.426617 + 0.904432i \(0.359705\pi\)
−0.996570 + 0.0827553i \(0.973628\pi\)
\(68\) −11.6988 20.2629i −1.41869 2.45724i
\(69\) 0.0647170 0.283543i 0.00779101 0.0341346i
\(70\) 13.7027 12.4060i 1.63778 1.48280i
\(71\) 2.58433 + 11.3227i 0.306704 + 1.34376i 0.859796 + 0.510638i \(0.170591\pi\)
−0.553092 + 0.833120i \(0.686552\pi\)
\(72\) −16.8578 + 15.6417i −1.98671 + 1.84340i
\(73\) −12.3313 + 1.85865i −1.44327 + 0.217538i −0.823532 0.567270i \(-0.807999\pi\)
−0.619739 + 0.784808i \(0.712761\pi\)
\(74\) 7.21631 1.08768i 0.838878 0.126441i
\(75\) −0.861657 + 0.799501i −0.0994956 + 0.0923184i
\(76\) −0.836327 3.66419i −0.0959332 0.420311i
\(77\) −6.46735 + 15.9041i −0.737023 + 1.81244i
\(78\) −0.504824 + 2.21178i −0.0571601 + 0.250435i
\(79\) −2.18860 3.79077i −0.246237 0.426495i 0.716242 0.697852i \(-0.245861\pi\)
−0.962479 + 0.271357i \(0.912528\pi\)
\(80\) −20.4113 + 35.3535i −2.28206 + 3.95264i
\(81\) −2.46260 2.28496i −0.273622 0.253884i
\(82\) −19.1509 13.0569i −2.11487 1.44189i
\(83\) 8.55442 + 10.7269i 0.938970 + 1.17743i 0.983950 + 0.178443i \(0.0571060\pi\)
−0.0449806 + 0.998988i \(0.514323\pi\)
\(84\) −10.9119 5.42022i −1.19059 0.591394i
\(85\) 6.61203 8.29122i 0.717175 0.899309i
\(86\) 16.7386 5.16318i 1.80497 0.556760i
\(87\) −1.60628 4.09272i −0.172211 0.438786i
\(88\) 4.80228 64.0820i 0.511925 6.83116i
\(89\) −0.924152 + 2.35470i −0.0979599 + 0.249598i −0.971450 0.237244i \(-0.923756\pi\)
0.873490 + 0.486842i \(0.161851\pi\)
\(90\) −14.6174 7.03935i −1.54080 0.742012i
\(91\) 2.62083 0.362319i 0.274737 0.0379813i
\(92\) 1.78036 0.857378i 0.185616 0.0893879i
\(93\) 0.463973 + 6.19129i 0.0481118 + 0.642007i
\(94\) 24.5454 + 7.57126i 2.53167 + 0.780916i
\(95\) 1.40749 0.959609i 0.144405 0.0984538i
\(96\) 19.9978 + 3.01418i 2.04102 + 0.307634i
\(97\) −5.30298 −0.538436 −0.269218 0.963079i \(-0.586765\pi\)
−0.269218 + 0.963079i \(0.586765\pi\)
\(98\) −1.91132 + 19.1947i −0.193073 + 1.93896i
\(99\) 15.0693 1.51452
\(100\) −7.89721 1.19031i −0.789721 0.119031i
\(101\) −2.27857 + 1.55351i −0.226727 + 0.154580i −0.671356 0.741135i \(-0.734288\pi\)
0.444629 + 0.895715i \(0.353335\pi\)
\(102\) −9.06794 2.79709i −0.897860 0.276953i
\(103\) −0.293260 3.91329i −0.0288958 0.385588i −0.992837 0.119474i \(-0.961879\pi\)
0.963942 0.266114i \(-0.0857398\pi\)
\(104\) −8.92220 + 4.29671i −0.874894 + 0.421327i
\(105\) 0.479970 5.50144i 0.0468403 0.536885i
\(106\) −0.366955 0.176716i −0.0356418 0.0171642i
\(107\) 1.58968 4.05043i 0.153680 0.391570i −0.833212 0.552954i \(-0.813501\pi\)
0.986892 + 0.161384i \(0.0515958\pi\)
\(108\) −1.83159 + 24.4409i −0.176245 + 2.35182i
\(109\) −2.68673 6.84569i −0.257342 0.655698i 0.742558 0.669781i \(-0.233612\pi\)
−0.999901 + 0.0140834i \(0.995517\pi\)
\(110\) 43.3221 13.3631i 4.13060 1.27412i
\(111\) 1.35938 1.70461i 0.129027 0.161794i
\(112\) −8.97122 41.6458i −0.847701 3.93515i
\(113\) 0.521760 + 0.654267i 0.0490831 + 0.0615482i 0.805767 0.592232i \(-0.201753\pi\)
−0.756684 + 0.653781i \(0.773182\pi\)
\(114\) −1.25946 0.858685i −0.117959 0.0804232i
\(115\) 0.656550 + 0.609190i 0.0612236 + 0.0568072i
\(116\) 14.9363 25.8705i 1.38680 2.40201i
\(117\) −1.16111 2.01110i −0.107345 0.185927i
\(118\) 3.98667 17.4668i 0.367003 1.60795i
\(119\) 0.692062 + 11.0452i 0.0634412 + 1.01251i
\(120\) 4.59946 + 20.1516i 0.419871 + 1.83958i
\(121\) −22.8048 + 21.1598i −2.07317 + 1.92362i
\(122\) 2.16423 0.326205i 0.195940 0.0295332i
\(123\) −6.84739 + 1.03208i −0.617408 + 0.0930593i
\(124\) −30.9232 + 28.6925i −2.77698 + 2.57666i
\(125\) 2.01531 + 8.82964i 0.180255 + 0.789747i
\(126\) 16.2384 4.79231i 1.44663 0.426933i
\(127\) −1.09765 + 4.80914i −0.0974010 + 0.426742i −0.999993 0.00375539i \(-0.998805\pi\)
0.902592 + 0.430497i \(0.141662\pi\)
\(128\) 24.3333 + 42.1465i 2.15078 + 3.72526i
\(129\) 2.61664 4.53215i 0.230382 0.399034i
\(130\) −5.12142 4.75198i −0.449178 0.416776i
\(131\) 7.88438 + 5.37548i 0.688862 + 0.469658i 0.856471 0.516196i \(-0.172652\pi\)
−0.167609 + 0.985854i \(0.553605\pi\)
\(132\) −18.6320 23.3638i −1.62171 2.03355i
\(133\) −0.416731 + 1.72816i −0.0361352 + 0.149851i
\(134\) −16.0310 + 20.1023i −1.38487 + 1.73657i
\(135\) −10.6153 + 3.27437i −0.913616 + 0.281813i
\(136\) −15.1334 38.5592i −1.29768 3.30643i
\(137\) −0.467638 + 6.24019i −0.0399530 + 0.533136i 0.940938 + 0.338578i \(0.109946\pi\)
−0.980891 + 0.194557i \(0.937673\pi\)
\(138\) 0.292800 0.746042i 0.0249248 0.0635073i
\(139\) −1.26209 0.607789i −0.107049 0.0515520i 0.379593 0.925154i \(-0.376064\pi\)
−0.486642 + 0.873602i \(0.661778\pi\)
\(140\) 31.2574 20.7558i 2.64173 1.75419i
\(141\) 6.91409 3.32965i 0.582271 0.280407i
\(142\) 2.39166 + 31.9144i 0.200703 + 2.67820i
\(143\) 6.20088 + 1.91272i 0.518544 + 0.159950i
\(144\) −30.8945 + 21.0635i −2.57454 + 1.75529i
\(145\) 13.3884 + 2.01798i 1.11185 + 0.167584i
\(146\) −34.3647 −2.84404
\(147\) 3.48190 + 4.59212i 0.287182 + 0.378751i
\(148\) 14.8137 1.21768
\(149\) −4.39572 0.662548i −0.360111 0.0542780i −0.0335051 0.999439i \(-0.510667\pi\)
−0.326606 + 0.945161i \(0.605905\pi\)
\(150\) −2.67628 + 1.82465i −0.218517 + 0.148982i
\(151\) −7.51666 2.31858i −0.611697 0.188684i −0.0265991 0.999646i \(-0.508468\pi\)
−0.585098 + 0.810963i \(0.698944\pi\)
\(152\) −0.497241 6.63522i −0.0403316 0.538187i
\(153\) 8.75163 4.21456i 0.707527 0.340727i
\(154\) −24.1547 + 40.6805i −1.94644 + 3.27813i
\(155\) −17.2263 8.29577i −1.38365 0.666332i
\(156\) −1.68243 + 4.28677i −0.134703 + 0.343217i
\(157\) 0.525607 7.01374i 0.0419480 0.559758i −0.936148 0.351605i \(-0.885636\pi\)
0.978096 0.208152i \(-0.0667450\pi\)
\(158\) −4.40678 11.2283i −0.350584 0.893275i
\(159\) −0.116275 + 0.0358660i −0.00922118 + 0.00284436i
\(160\) −38.8308 + 48.6922i −3.06984 + 3.84946i
\(161\) −0.934587 0.0114253i −0.0736558 0.000900439i
\(162\) −5.77183 7.23765i −0.453478 0.568643i
\(163\) −16.1903 11.0383i −1.26812 0.864589i −0.272880 0.962048i \(-0.587976\pi\)
−0.995240 + 0.0974591i \(0.968928\pi\)
\(164\) −34.4897 32.0018i −2.69319 2.49892i
\(165\) 6.77226 11.7299i 0.527220 0.913171i
\(166\) 18.9041 + 32.7429i 1.46725 + 2.54134i
\(167\) 0.787289 3.44934i 0.0609223 0.266918i −0.935289 0.353885i \(-0.884860\pi\)
0.996211 + 0.0869672i \(0.0277175\pi\)
\(168\) −17.6723 12.3679i −1.36345 0.954205i
\(169\) −0.222521 0.974928i −0.0171170 0.0749945i
\(170\) 21.4223 19.8770i 1.64301 1.52449i
\(171\) 1.54289 0.232553i 0.117988 0.0177838i
\(172\) 35.1599 5.29951i 2.68092 0.404084i
\(173\) 8.84278 8.20490i 0.672304 0.623807i −0.268291 0.963338i \(-0.586459\pi\)
0.940595 + 0.339531i \(0.110268\pi\)
\(174\) −2.69599 11.8119i −0.204382 0.895458i
\(175\) 3.09487 + 2.16594i 0.233951 + 0.163729i
\(176\) 23.2505 101.867i 1.75257 7.67852i
\(177\) −2.67626 4.63542i −0.201160 0.348419i
\(178\) −3.48530 + 6.03672i −0.261234 + 0.452471i
\(179\) 13.9409 + 12.9352i 1.04199 + 0.966826i 0.999479 0.0322704i \(-0.0102738\pi\)
0.0425110 + 0.999096i \(0.486464\pi\)
\(180\) −27.2104 18.5517i −2.02814 1.38277i
\(181\) −2.21799 2.78127i −0.164862 0.206730i 0.692538 0.721382i \(-0.256493\pi\)
−0.857399 + 0.514652i \(0.827921\pi\)
\(182\) 7.29024 + 0.0891229i 0.540389 + 0.00660623i
\(183\) 0.407689 0.511226i 0.0301372 0.0377909i
\(184\) 3.34295 1.03116i 0.246445 0.0760183i
\(185\) 2.45299 + 6.25012i 0.180347 + 0.459518i
\(186\) −1.27855 + 17.0611i −0.0937479 + 1.25098i
\(187\) −9.91662 + 25.2671i −0.725175 + 1.84772i
\(188\) 46.9772 + 22.6230i 3.42616 + 1.64995i
\(189\) 5.91866 9.96800i 0.430519 0.725065i
\(190\) 4.22936 2.03675i 0.306830 0.147761i
\(191\) 1.06906 + 14.2656i 0.0773543 + 1.03222i 0.891933 + 0.452168i \(0.149349\pi\)
−0.814579 + 0.580053i \(0.803032\pi\)
\(192\) 27.9194 + 8.61199i 2.01491 + 0.621517i
\(193\) −1.26417 + 0.861900i −0.0909973 + 0.0620409i −0.607964 0.793965i \(-0.708013\pi\)
0.516967 + 0.856006i \(0.327061\pi\)
\(194\) −14.4500 2.17799i −1.03745 0.156370i
\(195\) −2.08725 −0.149471
\(196\) −9.64355 + 37.9495i −0.688825 + 2.71068i
\(197\) 8.81475 0.628025 0.314012 0.949419i \(-0.398327\pi\)
0.314012 + 0.949419i \(0.398327\pi\)
\(198\) 41.0621 + 6.18911i 2.91816 + 0.439841i
\(199\) 12.0120 8.18967i 0.851511 0.580550i −0.0570176 0.998373i \(-0.518159\pi\)
0.908528 + 0.417823i \(0.137207\pi\)
\(200\) −13.5108 4.16754i −0.955360 0.294689i
\(201\) 0.574045 + 7.66010i 0.0404900 + 0.540302i
\(202\) −6.84688 + 3.29729i −0.481745 + 0.231996i
\(203\) −11.7708 + 7.81613i −0.826146 + 0.548585i
\(204\) −17.3550 8.35773i −1.21509 0.585158i
\(205\) 7.79089 19.8509i 0.544140 1.38645i
\(206\) 0.808126 10.7837i 0.0563048 0.751335i
\(207\) 0.299713 + 0.763656i 0.0208315 + 0.0530778i
\(208\) −15.3863 + 4.74606i −1.06685 + 0.329080i
\(209\) −2.71849 + 3.40888i −0.188042 + 0.235797i
\(210\) 3.56736 14.7936i 0.246171 1.02086i
\(211\) 4.37227 + 5.48265i 0.300999 + 0.377441i 0.909212 0.416333i \(-0.136685\pi\)
−0.608213 + 0.793774i \(0.708113\pi\)
\(212\) −0.683092 0.465724i −0.0469149 0.0319860i
\(213\) 7.00901 + 6.50341i 0.480249 + 0.445606i
\(214\) 5.99523 10.3840i 0.409825 0.709839i
\(215\) 8.05805 + 13.9570i 0.549555 + 0.951857i
\(216\) −9.65539 + 42.3030i −0.656966 + 2.87836i
\(217\) 19.1368 5.64766i 1.29909 0.383388i
\(218\) −4.50944 19.7572i −0.305418 1.33812i
\(219\) −7.52602 + 6.98313i −0.508562 + 0.471876i
\(220\) 90.9992 13.7159i 6.13517 0.924727i
\(221\) 4.13616 0.623426i 0.278228 0.0419362i
\(222\) 4.40425 4.08654i 0.295594 0.274271i
\(223\) −5.44009 23.8346i −0.364295 1.59608i −0.742161 0.670222i \(-0.766199\pi\)
0.377865 0.925861i \(-0.376658\pi\)
\(224\) −4.06430 64.8656i −0.271558 4.33402i
\(225\) 0.737786 3.23245i 0.0491857 0.215497i
\(226\) 1.15302 + 1.99709i 0.0766978 + 0.132845i
\(227\) 7.84413 13.5864i 0.520633 0.901763i −0.479079 0.877772i \(-0.659029\pi\)
0.999712 0.0239914i \(-0.00763744\pi\)
\(228\) −2.26821 2.10459i −0.150216 0.139380i
\(229\) 1.57541 + 1.07410i 0.104106 + 0.0709783i 0.614254 0.789108i \(-0.289457\pi\)
−0.510148 + 0.860087i \(0.670409\pi\)
\(230\) 1.53882 + 1.92962i 0.101467 + 0.127235i
\(231\) 2.97655 + 13.8176i 0.195843 + 0.909132i
\(232\) 32.9738 41.3479i 2.16484 2.71462i
\(233\) 1.94304 0.599349i 0.127293 0.0392647i −0.230454 0.973083i \(-0.574021\pi\)
0.357747 + 0.933819i \(0.383545\pi\)
\(234\) −2.33791 5.95689i −0.152834 0.389414i
\(235\) −1.76606 + 23.5665i −0.115205 + 1.53731i
\(236\) 13.2864 33.8533i 0.864874 2.20366i
\(237\) −3.24677 1.56356i −0.210900 0.101564i
\(238\) −2.65058 + 30.3811i −0.171812 + 1.96931i
\(239\) 3.60058 1.73395i 0.232902 0.112160i −0.313793 0.949491i \(-0.601600\pi\)
0.546695 + 0.837332i \(0.315886\pi\)
\(240\) 2.51154 + 33.5142i 0.162120 + 2.16333i
\(241\) −1.47181 0.453993i −0.0948076 0.0292443i 0.246988 0.969018i \(-0.420559\pi\)
−0.341796 + 0.939774i \(0.611035\pi\)
\(242\) −70.8310 + 48.2918i −4.55319 + 3.10431i
\(243\) −15.7329 2.37135i −1.00927 0.152122i
\(244\) 4.44275 0.284418
\(245\) −17.6083 + 2.21528i −1.12495 + 0.141529i
\(246\) −19.0822 −1.21664
\(247\) 0.664402 + 0.100143i 0.0422749 + 0.00637192i
\(248\) −61.7051 + 42.0698i −3.91828 + 2.67144i
\(249\) 10.7937 + 3.32940i 0.684021 + 0.210992i
\(250\) 1.86505 + 24.8874i 0.117956 + 1.57402i
\(251\) 9.39504 4.52441i 0.593010 0.285578i −0.113210 0.993571i \(-0.536113\pi\)
0.706220 + 0.707993i \(0.250399\pi\)
\(252\) 34.0438 4.70642i 2.14456 0.296476i
\(253\) −2.06539 0.994641i −0.129850 0.0625326i
\(254\) −4.96613 + 12.6535i −0.311603 + 0.793951i
\(255\) 0.652446 8.70629i 0.0408578 0.545209i
\(256\) 23.0639 + 58.7659i 1.44149 + 3.67287i
\(257\) 23.7910 7.33855i 1.48404 0.457766i 0.556297 0.830984i \(-0.312222\pi\)
0.927744 + 0.373218i \(0.121746\pi\)
\(258\) 8.99143 11.2749i 0.559782 0.701945i
\(259\) −6.27523 3.11705i −0.389924 0.193684i
\(260\) −8.84209 11.0876i −0.548363 0.687626i
\(261\) 10.2468 + 6.98613i 0.634259 + 0.432431i
\(262\) 19.2762 + 17.8857i 1.19089 + 1.10498i
\(263\) 4.82454 8.35635i 0.297494 0.515275i −0.678068 0.734999i \(-0.737182\pi\)
0.975562 + 0.219724i \(0.0705158\pi\)
\(264\) −26.4525 45.8170i −1.62804 2.81984i
\(265\) 0.0833831 0.365325i 0.00512218 0.0224418i
\(266\) −1.84532 + 4.53788i −0.113144 + 0.278235i
\(267\) 0.463404 + 2.03030i 0.0283598 + 0.124253i
\(268\) −38.2593 + 35.4995i −2.33706 + 2.16847i
\(269\) 15.9601 2.40560i 0.973106 0.146672i 0.356802 0.934180i \(-0.383867\pi\)
0.616305 + 0.787508i \(0.288629\pi\)
\(270\) −30.2701 + 4.56249i −1.84218 + 0.277664i
\(271\) 11.4995 10.6700i 0.698545 0.648155i −0.248731 0.968572i \(-0.580014\pi\)
0.947276 + 0.320417i \(0.103823\pi\)
\(272\) −14.9871 65.6628i −0.908727 3.98139i
\(273\) 1.61471 1.46191i 0.0977265 0.0884786i
\(274\) −3.83717 + 16.8117i −0.231812 + 1.01563i
\(275\) 4.63250 + 8.02373i 0.279350 + 0.483849i
\(276\) 0.813417 1.40888i 0.0489619 0.0848046i
\(277\) 19.5810 + 18.1685i 1.17651 + 1.09164i 0.994105 + 0.108417i \(0.0345783\pi\)
0.182404 + 0.983224i \(0.441612\pi\)
\(278\) −3.18941 2.17450i −0.191288 0.130418i
\(279\) −10.9191 13.6921i −0.653709 0.819725i
\(280\) 60.1960 28.0876i 3.59740 1.67856i
\(281\) 7.30407 9.15901i 0.435724 0.546381i −0.514686 0.857378i \(-0.672092\pi\)
0.950411 + 0.310998i \(0.100663\pi\)
\(282\) 20.2076 6.23321i 1.20334 0.371183i
\(283\) −8.87513 22.6135i −0.527572 1.34423i −0.907825 0.419349i \(-0.862258\pi\)
0.380253 0.924882i \(-0.375837\pi\)
\(284\) −4.85478 + 64.7825i −0.288078 + 3.84413i
\(285\) 0.512367 1.30549i 0.0303500 0.0773306i
\(286\) 16.1111 + 7.75870i 0.952669 + 0.458781i
\(287\) 7.87646 + 20.8135i 0.464933 + 1.22858i
\(288\) −51.3961 + 24.7510i −3.02854 + 1.45847i
\(289\) 0.0371024 + 0.495097i 0.00218249 + 0.0291233i
\(290\) 35.6531 + 10.9975i 2.09362 + 0.645796i
\(291\) −3.60719 + 2.45934i −0.211457 + 0.144169i
\(292\) −68.9771 10.3966i −4.03658 0.608416i
\(293\) −29.8667 −1.74483 −0.872414 0.488767i \(-0.837447\pi\)
−0.872414 + 0.488767i \(0.837447\pi\)
\(294\) 7.60173 + 13.9430i 0.443342 + 0.813173i
\(295\) 16.4833 0.959695
\(296\) 25.9329 + 3.90876i 1.50732 + 0.227192i
\(297\) 23.4927 16.0170i 1.36318 0.929402i
\(298\) −11.7057 3.61073i −0.678093 0.209164i
\(299\) 0.0263997 + 0.352279i 0.00152673 + 0.0203728i
\(300\) −5.92387 + 2.85279i −0.342015 + 0.164706i
\(301\) −16.0092 5.15333i −0.922755 0.297033i
\(302\) −19.5297 9.40503i −1.12381 0.541198i
\(303\) −0.829469 + 2.11345i −0.0476517 + 0.121415i
\(304\) 0.808493 10.7886i 0.0463702 0.618768i
\(305\) 0.735672 + 1.87446i 0.0421244 + 0.107331i
\(306\) 25.5781 7.88980i 1.46220 0.451030i
\(307\) 12.0380 15.0951i 0.687043 0.861525i −0.308939 0.951082i \(-0.599974\pi\)
0.995982 + 0.0895573i \(0.0285452\pi\)
\(308\) −60.7909 + 74.3465i −3.46388 + 4.23629i
\(309\) −2.01433 2.52589i −0.114591 0.143693i
\(310\) −43.5326 29.6800i −2.47248 1.68571i
\(311\) 18.8930 + 17.5301i 1.07132 + 0.994042i 0.999994 0.00341105i \(-0.00108577\pi\)
0.0713281 + 0.997453i \(0.477276\pi\)
\(312\) −4.07639 + 7.06052i −0.230780 + 0.399723i
\(313\) 9.41898 + 16.3141i 0.532392 + 0.922130i 0.999285 + 0.0378161i \(0.0120401\pi\)
−0.466893 + 0.884314i \(0.654627\pi\)
\(314\) 4.31283 18.8957i 0.243387 1.06635i
\(315\) 7.62299 + 13.5842i 0.429507 + 0.765385i
\(316\) −5.44834 23.8707i −0.306493 1.34283i
\(317\) −22.2688 + 20.6625i −1.25074 + 1.16052i −0.270500 + 0.962720i \(0.587189\pi\)
−0.980242 + 0.197800i \(0.936620\pi\)
\(318\) −0.331565 + 0.0499754i −0.0185932 + 0.00280248i
\(319\) −34.2681 + 5.16508i −1.91864 + 0.289189i
\(320\) −65.9573 + 61.1994i −3.68712 + 3.42115i
\(321\) −0.797123 3.49242i −0.0444910 0.194928i
\(322\) −2.54195 0.414977i −0.141657 0.0231257i
\(323\) −0.625396 + 2.74004i −0.0347980 + 0.152460i
\(324\) −9.39560 16.2737i −0.521978 0.904092i
\(325\) 0.713881 1.23648i 0.0395990 0.0685875i
\(326\) −39.5830 36.7276i −2.19230 2.03416i
\(327\) −5.00237 3.41056i −0.276632 0.188604i
\(328\) −51.9339 65.1230i −2.86757 3.59582i
\(329\) −15.1397 19.4681i −0.834680 1.07331i
\(330\) 23.2712 29.1811i 1.28104 1.60637i
\(331\) 20.5242 6.33086i 1.12811 0.347976i 0.326129 0.945325i \(-0.394256\pi\)
0.801981 + 0.597350i \(0.203780\pi\)
\(332\) 28.0386 + 71.4411i 1.53882 + 3.92084i
\(333\) −0.459586 + 6.13275i −0.0251851 + 0.336072i
\(334\) 3.56195 9.07569i 0.194901 0.496600i
\(335\) −21.3131 10.2638i −1.16446 0.560773i
\(336\) −25.4163 24.1677i −1.38657 1.31846i
\(337\) −32.2864 + 15.5483i −1.75875 + 0.846969i −0.784952 + 0.619557i \(0.787312\pi\)
−0.973799 + 0.227412i \(0.926973\pi\)
\(338\) −0.205931 2.74795i −0.0112012 0.149469i
\(339\) 0.658339 + 0.203071i 0.0357561 + 0.0110293i
\(340\) 49.0125 33.4162i 2.65808 1.81225i
\(341\) 48.3911 + 7.29378i 2.62052 + 0.394980i
\(342\) 4.29970 0.232501
\(343\) 12.0703 14.0466i 0.651736 0.758446i
\(344\) 62.9495 3.39401
\(345\) 0.729120 + 0.109897i 0.0392545 + 0.00591667i
\(346\) 27.4654 18.7256i 1.47655 1.00669i
\(347\) −17.7091 5.46252i −0.950672 0.293244i −0.219636 0.975582i \(-0.570487\pi\)
−0.731036 + 0.682338i \(0.760963\pi\)
\(348\) −1.83786 24.5246i −0.0985198 1.31466i
\(349\) −29.2706 + 14.0960i −1.56682 + 0.754539i −0.997704 0.0677206i \(-0.978427\pi\)
−0.569112 + 0.822260i \(0.692713\pi\)
\(350\) 7.54359 + 7.17302i 0.403222 + 0.383414i
\(351\) −3.94772 1.90112i −0.210714 0.101474i
\(352\) 58.2378 148.387i 3.10408 7.90908i
\(353\) −0.211197 + 2.81823i −0.0112409 + 0.149999i 0.988759 + 0.149518i \(0.0477723\pi\)
−1.00000 0.000481300i \(0.999847\pi\)
\(354\) −5.38868 13.7301i −0.286405 0.729748i
\(355\) −28.1366 + 8.67899i −1.49334 + 0.460633i
\(356\) −8.82206 + 11.0625i −0.467568 + 0.586312i
\(357\) 5.59315 + 7.19221i 0.296021 + 0.380652i
\(358\) 32.6746 + 40.9727i 1.72691 + 2.16547i
\(359\) 7.38391 + 5.03427i 0.389708 + 0.265698i 0.742285 0.670084i \(-0.233742\pi\)
−0.352577 + 0.935783i \(0.614694\pi\)
\(360\) −42.7396 39.6566i −2.25257 2.09008i
\(361\) 9.27427 16.0635i 0.488120 0.845448i
\(362\) −4.90146 8.48958i −0.257615 0.446203i
\(363\) −5.69911 + 24.9694i −0.299126 + 1.31056i
\(364\) 14.6061 + 2.38446i 0.765566 + 0.124980i
\(365\) −7.03538 30.8240i −0.368249 1.61340i
\(366\) 1.32087 1.22559i 0.0690429 0.0640625i
\(367\) −1.21941 + 0.183797i −0.0636529 + 0.00959412i −0.180791 0.983521i \(-0.557866\pi\)
0.117139 + 0.993116i \(0.462628\pi\)
\(368\) 5.62467 0.847782i 0.293206 0.0441937i
\(369\) 14.3185 13.2856i 0.745391 0.691622i
\(370\) 4.11712 + 18.0383i 0.214039 + 0.937766i
\(371\) 0.191368 + 0.341019i 0.00993533 + 0.0177048i
\(372\) −7.72794 + 33.8583i −0.400675 + 1.75547i
\(373\) 7.70510 + 13.3456i 0.398955 + 0.691011i 0.993597 0.112980i \(-0.0360396\pi\)
−0.594642 + 0.803991i \(0.702706\pi\)
\(374\) −37.3991 + 64.7771i −1.93386 + 3.34954i
\(375\) 5.46574 + 5.07146i 0.282250 + 0.261889i
\(376\) 76.2692 + 51.9994i 3.93328 + 2.68167i
\(377\) 3.32972 + 4.17533i 0.171489 + 0.215040i
\(378\) 20.2216 24.7308i 1.04009 1.27201i
\(379\) −5.25933 + 6.59499i −0.270154 + 0.338762i −0.898340 0.439301i \(-0.855226\pi\)
0.628186 + 0.778063i \(0.283798\pi\)
\(380\) 9.10539 2.80864i 0.467097 0.144080i
\(381\) 1.48367 + 3.78033i 0.0760106 + 0.193672i
\(382\) −2.94596 + 39.3111i −0.150728 + 2.01133i
\(383\) 2.24213 5.71284i 0.114567 0.291913i −0.862076 0.506779i \(-0.830836\pi\)
0.976644 + 0.214866i \(0.0689314\pi\)
\(384\) 36.0981 + 17.3839i 1.84212 + 0.887120i
\(385\) −41.4342 13.3376i −2.11168 0.679747i
\(386\) −3.79872 + 1.82936i −0.193350 + 0.0931122i
\(387\) 1.10314 + 14.7203i 0.0560756 + 0.748277i
\(388\) −28.3452 8.74334i −1.43901 0.443876i
\(389\) 8.51432 5.80496i 0.431693 0.294323i −0.327912 0.944708i \(-0.606345\pi\)
0.759605 + 0.650385i \(0.225392\pi\)
\(390\) −5.68750 0.857252i −0.287998 0.0434087i
\(391\) −1.47767 −0.0747292
\(392\) −26.8955 + 63.8900i −1.35843 + 3.22693i
\(393\) 7.85608 0.396287
\(394\) 24.0191 + 3.62030i 1.21007 + 0.182388i
\(395\) 9.16923 6.25147i 0.461354 0.314546i
\(396\) 80.5477 + 24.8457i 4.04767 + 1.24854i
\(397\) 0.539043 + 7.19303i 0.0270538 + 0.361008i 0.994258 + 0.107008i \(0.0341271\pi\)
−0.967204 + 0.253999i \(0.918254\pi\)
\(398\) 36.0950 17.3824i 1.80928 0.871302i
\(399\) 0.517994 + 1.36880i 0.0259322 + 0.0685256i
\(400\) −20.7127 9.97472i −1.03564 0.498736i
\(401\) −7.72038 + 19.6712i −0.385537 + 0.982333i 0.597979 + 0.801512i \(0.295971\pi\)
−0.983516 + 0.180821i \(0.942124\pi\)
\(402\) −1.58187 + 21.1086i −0.0788966 + 1.05280i
\(403\) −2.75519 7.02011i −0.137246 0.349697i
\(404\) −14.7407 + 4.54690i −0.733376 + 0.226217i
\(405\) 5.31029 6.65889i 0.263870 0.330883i
\(406\) −35.2841 + 16.4636i −1.75112 + 0.817077i
\(407\) −10.7149 13.4360i −0.531116 0.665998i
\(408\) −28.1765 19.2104i −1.39494 0.951057i
\(409\) −6.21590 5.76751i −0.307356 0.285185i 0.511380 0.859355i \(-0.329135\pi\)
−0.818736 + 0.574170i \(0.805325\pi\)
\(410\) 29.3822 50.8915i 1.45108 2.51335i
\(411\) 2.57589 + 4.46158i 0.127060 + 0.220074i
\(412\) 4.88455 21.4006i 0.240645 1.05433i
\(413\) −12.7516 + 11.5449i −0.627464 + 0.568087i
\(414\) 0.503041 + 2.20397i 0.0247231 + 0.108319i
\(415\) −25.4992 + 23.6598i −1.25170 + 1.16141i
\(416\) −24.2906 + 3.66122i −1.19095 + 0.179506i
\(417\) −1.14037 + 0.171883i −0.0558441 + 0.00841714i
\(418\) −8.80763 + 8.17229i −0.430795 + 0.399720i
\(419\) 7.08967 + 31.0619i 0.346353 + 1.51747i 0.785389 + 0.619002i \(0.212463\pi\)
−0.439037 + 0.898469i \(0.644680\pi\)
\(420\) 11.6361 28.6146i 0.567782 1.39625i
\(421\) 2.07327 9.08361i 0.101045 0.442708i −0.898944 0.438063i \(-0.855665\pi\)
0.999989 0.00464438i \(-0.00147836\pi\)
\(422\) 9.66213 + 16.7353i 0.470345 + 0.814661i
\(423\) −10.8232 + 18.7463i −0.526241 + 0.911476i
\(424\) −1.07294 0.995540i −0.0521064 0.0483477i
\(425\) 4.93443 + 3.36424i 0.239355 + 0.163189i
\(426\) 16.4277 + 20.5997i 0.795924 + 0.998058i
\(427\) −1.88199 0.934830i −0.0910759 0.0452396i
\(428\) 15.1752 19.0292i 0.733523 0.919809i
\(429\) 5.10502 1.57469i 0.246473 0.0760268i
\(430\) 16.2250 + 41.3406i 0.782438 + 1.99362i
\(431\) 2.16456 28.8841i 0.104263 1.39130i −0.662353 0.749192i \(-0.730442\pi\)
0.766616 0.642106i \(-0.221939\pi\)
\(432\) −25.7755 + 65.6749i −1.24012 + 3.15978i
\(433\) 11.3668 + 5.47396i 0.546253 + 0.263062i 0.686593 0.727042i \(-0.259105\pi\)
−0.140340 + 0.990103i \(0.544820\pi\)
\(434\) 54.4649 7.52956i 2.61440 0.361430i
\(435\) 10.0430 4.83643i 0.481523 0.231889i
\(436\) −3.07410 41.0210i −0.147223 1.96455i
\(437\) −0.226817 0.0699639i −0.0108501 0.00334683i
\(438\) −23.3756 + 15.9372i −1.11693 + 0.761508i
\(439\) 19.8591 + 2.99328i 0.947823 + 0.142861i 0.604722 0.796437i \(-0.293284\pi\)
0.343102 + 0.939298i \(0.388522\pi\)
\(440\) 162.923 7.76704
\(441\) −15.4116 5.16971i −0.733885 0.246177i
\(442\) 11.5266 0.548264
\(443\) −35.1936 5.30459i −1.67210 0.252029i −0.756463 0.654036i \(-0.773074\pi\)
−0.915636 + 0.402007i \(0.868313\pi\)
\(444\) 10.0766 6.87009i 0.478213 0.326040i
\(445\) −6.12828 1.89032i −0.290508 0.0896099i
\(446\) −5.03450 67.1807i −0.238390 3.18110i
\(447\) −3.29732 + 1.58791i −0.155958 + 0.0751054i
\(448\) 8.16091 93.5407i 0.385567 4.41938i
\(449\) 0.857959 + 0.413171i 0.0404896 + 0.0194988i 0.454019 0.890992i \(-0.349990\pi\)
−0.413529 + 0.910491i \(0.635704\pi\)
\(450\) 3.33798 8.50503i 0.157354 0.400931i
\(451\) −4.07891 + 54.4293i −0.192068 + 2.56298i
\(452\) 1.71016 + 4.35741i 0.0804390 + 0.204955i
\(453\) −6.18826 + 1.90883i −0.290750 + 0.0896845i
\(454\) 26.9544 33.7998i 1.26503 1.58630i
\(455\) 1.41257 + 6.55736i 0.0662223 + 0.307414i
\(456\) −3.41542 4.28281i −0.159942 0.200561i
\(457\) 13.8223 + 9.42392i 0.646582 + 0.440832i 0.841698 0.539948i \(-0.181556\pi\)
−0.195116 + 0.980780i \(0.562508\pi\)
\(458\) 3.85167 + 3.57382i 0.179977 + 0.166994i
\(459\) 9.16394 15.8724i 0.427736 0.740861i
\(460\) 2.50495 + 4.33870i 0.116794 + 0.202293i
\(461\) 2.05007 8.98192i 0.0954811 0.418330i −0.904486 0.426504i \(-0.859745\pi\)
0.999967 + 0.00817444i \(0.00260203\pi\)
\(462\) 2.43573 + 38.8738i 0.113320 + 1.80857i
\(463\) −5.41009 23.7031i −0.251428 1.10158i −0.930149 0.367182i \(-0.880323\pi\)
0.678721 0.734396i \(-0.262535\pi\)
\(464\) 63.0353 58.4882i 2.92634 2.71525i
\(465\) −15.5650 + 2.34605i −0.721810 + 0.108795i
\(466\) 5.54072 0.835128i 0.256669 0.0386866i
\(467\) −11.2313 + 10.4211i −0.519722 + 0.482231i −0.895863 0.444331i \(-0.853441\pi\)
0.376141 + 0.926563i \(0.377251\pi\)
\(468\) −2.89048 12.6640i −0.133613 0.585395i
\(469\) 23.6767 6.98750i 1.09329 0.322653i
\(470\) −14.4913 + 63.4906i −0.668434 + 2.92860i
\(471\) −2.89521 5.01465i −0.133404 0.231063i
\(472\) 32.1919 55.7580i 1.48175 2.56647i
\(473\) −30.2381 28.0569i −1.39035 1.29006i
\(474\) −8.20488 5.59399i −0.376863 0.256941i
\(475\) 0.598128 + 0.750029i 0.0274440 + 0.0344137i
\(476\) −14.5117 + 60.1793i −0.665143 + 2.75831i
\(477\) 0.213998 0.268345i 0.00979831 0.0122867i
\(478\) 10.5233 3.24600i 0.481324 0.148469i
\(479\) −9.13767 23.2824i −0.417511 1.06380i −0.972698 0.232074i \(-0.925449\pi\)
0.555187 0.831725i \(-0.312647\pi\)
\(480\) −3.83165 + 51.1298i −0.174890 + 2.33375i
\(481\) −0.967533 + 2.46523i −0.0441157 + 0.112405i
\(482\) −3.82405 1.84156i −0.174181 0.0838810i
\(483\) −0.641024 + 0.425658i −0.0291676 + 0.0193681i
\(484\) −156.783 + 75.5026i −7.12649 + 3.43194i
\(485\) −1.00472 13.4071i −0.0456220 0.608784i
\(486\) −41.8963 12.9233i −1.90046 0.586213i
\(487\) 8.51120 5.80284i 0.385679 0.262952i −0.354923 0.934896i \(-0.615493\pi\)
0.740602 + 0.671944i \(0.234540\pi\)
\(488\) 7.77750 + 1.17227i 0.352071 + 0.0530661i
\(489\) −16.1321 −0.729521
\(490\) −48.8904 1.19554i −2.20864 0.0540092i
\(491\) 17.6737 0.797603 0.398802 0.917037i \(-0.369426\pi\)
0.398802 + 0.917037i \(0.369426\pi\)
\(492\) −38.3019 5.77309i −1.72678 0.260271i
\(493\) −18.4569 + 12.5837i −0.831257 + 0.566741i
\(494\) 1.76929 + 0.545753i 0.0796040 + 0.0245546i
\(495\) 2.85508 + 38.0985i 0.128326 + 1.71240i
\(496\) −109.404 + 52.6864i −4.91240 + 2.36569i
\(497\) 15.6879 26.4210i 0.703698 1.18514i
\(498\) 28.0440 + 13.5053i 1.25668 + 0.605187i
\(499\) −4.99574 + 12.7289i −0.223640 + 0.569825i −0.998020 0.0628954i \(-0.979967\pi\)
0.774380 + 0.632721i \(0.218062\pi\)
\(500\) −3.78584 + 50.5185i −0.169308 + 2.25925i
\(501\) −1.06416 2.71143i −0.0475430 0.121138i
\(502\) 27.4586 8.46985i 1.22554 0.378028i
\(503\) −14.4005 + 18.0577i −0.642087 + 0.805151i −0.991262 0.131906i \(-0.957890\pi\)
0.349176 + 0.937057i \(0.386462\pi\)
\(504\) 60.8391 + 0.743755i 2.70999 + 0.0331295i
\(505\) −4.35930 5.46639i −0.193986 0.243251i
\(506\) −5.21944 3.55856i −0.232033 0.158197i
\(507\) −0.603502 0.559968i −0.0268025 0.0248690i
\(508\) −13.7962 + 23.8958i −0.612109 + 1.06020i
\(509\) −20.4830 35.4776i −0.907893 1.57252i −0.816986 0.576658i \(-0.804357\pi\)
−0.0909075 0.995859i \(-0.528977\pi\)
\(510\) 5.35360 23.4556i 0.237061 1.03863i
\(511\) 27.0318 + 18.9181i 1.19581 + 0.836887i
\(512\) 17.0520 + 74.7098i 0.753600 + 3.30174i
\(513\) 2.15815 2.00247i 0.0952844 0.0884110i
\(514\) 67.8416 10.2255i 2.99236 0.451026i
\(515\) 9.83807 1.48285i 0.433517 0.0653422i
\(516\) 21.4588 19.9108i 0.944669 0.876525i
\(517\) −13.4599 58.9717i −0.591966 2.59357i
\(518\) −15.8190 11.0709i −0.695049 0.486427i
\(519\) 2.20988 9.68213i 0.0970031 0.424998i
\(520\) −12.5534 21.7432i −0.550504 0.953501i
\(521\) 3.15057 5.45695i 0.138029 0.239073i −0.788721 0.614751i \(-0.789257\pi\)
0.926750 + 0.375677i \(0.122590\pi\)
\(522\) 25.0520 + 23.2448i 1.09649 + 1.01740i
\(523\) −12.5529 8.55843i −0.548901 0.374234i 0.256885 0.966442i \(-0.417304\pi\)
−0.805785 + 0.592208i \(0.798256\pi\)
\(524\) 33.2803 + 41.7322i 1.45386 + 1.82308i
\(525\) 3.10968 + 0.0380158i 0.135718 + 0.00165914i
\(526\) 16.5783 20.7886i 0.722850 0.906425i
\(527\) 30.1434 9.29801i 1.31307 0.405028i
\(528\) −31.4271 80.0748i −1.36769 3.48481i
\(529\) −1.70947 + 22.8112i −0.0743246 + 0.991793i
\(530\) 0.377252 0.961222i 0.0163868 0.0417528i
\(531\) 13.6028 + 6.55076i 0.590311 + 0.284279i
\(532\) −5.07682 + 8.55020i −0.220108 + 0.370698i
\(533\) 7.57825 3.64949i 0.328250 0.158077i
\(534\) 0.428854 + 5.72266i 0.0185583 + 0.247644i
\(535\) 10.5415 + 3.25163i 0.455750 + 0.140580i
\(536\) −76.3439 + 52.0504i −3.29755 + 2.24823i
\(537\) 15.4818 + 2.33351i 0.668089 + 0.100698i
\(538\) 44.4775 1.91756
\(539\) 41.3954 18.7025i 1.78303 0.805573i
\(540\) −62.1388 −2.67403
\(541\) −2.23946 0.337544i −0.0962819 0.0145122i 0.100725 0.994914i \(-0.467884\pi\)
−0.197006 + 0.980402i \(0.563122\pi\)
\(542\) 35.7170 24.3515i 1.53418 1.04598i
\(543\) −2.79858 0.863248i −0.120099 0.0370455i
\(544\) −7.67870 102.465i −0.329221 4.39315i
\(545\) 16.7983 8.08965i 0.719561 0.346522i
\(546\) 5.00030 3.32035i 0.213993 0.142098i
\(547\) 17.3551 + 8.35779i 0.742052 + 0.357353i 0.766411 0.642350i \(-0.222040\pi\)
−0.0243598 + 0.999703i \(0.507755\pi\)
\(548\) −12.7882 + 32.5837i −0.546284 + 1.39191i
\(549\) −0.137834 + 1.83926i −0.00588259 + 0.0784977i
\(550\) 9.32760 + 23.7663i 0.397730 + 1.01340i
\(551\) −3.42887 + 1.05767i −0.146075 + 0.0450581i
\(552\) 1.79572 2.25176i 0.0764310 0.0958414i
\(553\) −2.71484 + 11.2583i −0.115447 + 0.478752i
\(554\) 45.8939 + 57.5492i 1.94985 + 2.44503i
\(555\) 4.56717 + 3.11384i 0.193865 + 0.132175i
\(556\) −5.74394 5.32960i −0.243597 0.226025i
\(557\) 6.52994 11.3102i 0.276682 0.479228i −0.693876 0.720095i \(-0.744098\pi\)
0.970558 + 0.240867i \(0.0774317\pi\)
\(558\) −24.1297 41.7939i −1.02149 1.76928i
\(559\) −1.41449 + 6.19730i −0.0598267 + 0.262118i
\(560\) 103.590 30.5715i 4.37746 1.29188i
\(561\) 4.97256 + 21.7862i 0.209942 + 0.919814i
\(562\) 23.6644 21.9574i 0.998223 0.926216i
\(563\) 36.8269 5.55076i 1.55207 0.233937i 0.683666 0.729795i \(-0.260385\pi\)
0.868403 + 0.495858i \(0.165146\pi\)
\(564\) 42.4466 6.39780i 1.78732 0.269396i
\(565\) −1.55527 + 1.44308i −0.0654308 + 0.0607109i
\(566\) −14.8961 65.2641i −0.626130 2.74325i
\(567\) 0.555813 + 8.87068i 0.0233419 + 0.372534i
\(568\) −25.5924 + 112.128i −1.07383 + 4.70477i
\(569\) −2.96020 5.12722i −0.124098 0.214944i 0.797282 0.603607i \(-0.206270\pi\)
−0.921380 + 0.388663i \(0.872937\pi\)
\(570\) 1.93232 3.34687i 0.0809359 0.140185i
\(571\) −24.2584 22.5086i −1.01518 0.941954i −0.0168623 0.999858i \(-0.505368\pi\)
−0.998322 + 0.0579043i \(0.981558\pi\)
\(572\) 29.9910 + 20.4475i 1.25399 + 0.854954i
\(573\) 7.34309 + 9.20794i 0.306762 + 0.384667i
\(574\) 12.9141 + 59.9492i 0.539025 + 2.50223i
\(575\) −0.314477 + 0.394341i −0.0131146 + 0.0164452i
\(576\) −78.7527 + 24.2920i −3.28136 + 1.01217i
\(577\) −2.19757 5.59933i −0.0914862 0.233103i 0.877805 0.479018i \(-0.159007\pi\)
−0.969292 + 0.245915i \(0.920912\pi\)
\(578\) −0.102241 + 1.36432i −0.00425268 + 0.0567481i
\(579\) −0.460197 + 1.17256i −0.0191251 + 0.0487300i
\(580\) 68.2360 + 32.8607i 2.83334 + 1.36447i
\(581\) 3.15502 36.1629i 0.130892 1.50029i
\(582\) −10.8392 + 5.21991i −0.449301 + 0.216372i
\(583\) 0.0716742 + 0.956426i 0.00296844 + 0.0396111i
\(584\) −118.008 36.4008i −4.88322 1.50628i
\(585\) 4.86451 3.31657i 0.201123 0.137123i
\(586\) −81.3831 12.2665i −3.36190 0.506725i
\(587\) −2.70414 −0.111612 −0.0558059 0.998442i \(-0.517773\pi\)
−0.0558059 + 0.998442i \(0.517773\pi\)
\(588\) 11.0400 + 30.2864i 0.455280 + 1.24899i
\(589\) 5.06713 0.208788
\(590\) 44.9150 + 6.76985i 1.84912 + 0.278710i
\(591\) 5.99597 4.08798i 0.246641 0.168157i
\(592\) 40.7477 + 12.5690i 1.67472 + 0.516582i
\(593\) −1.37114 18.2966i −0.0563059 0.751350i −0.951887 0.306451i \(-0.900859\pi\)
0.895581 0.444899i \(-0.146760\pi\)
\(594\) 70.5931 33.9958i 2.89647 1.39487i
\(595\) −27.7935 + 3.84234i −1.13942 + 0.157521i
\(596\) −22.4034 10.7889i −0.917678 0.441931i
\(597\) 4.37274 11.1416i 0.178964 0.455994i
\(598\) −0.0727485 + 0.970762i −0.00297491 + 0.0396974i
\(599\) −15.3835 39.1964i −0.628551 1.60152i −0.788941 0.614469i \(-0.789370\pi\)
0.160389 0.987054i \(-0.448725\pi\)
\(600\) −11.1231 + 3.43102i −0.454099 + 0.140071i
\(601\) −10.9447 + 13.7242i −0.446443 + 0.559821i −0.953228 0.302251i \(-0.902262\pi\)
0.506786 + 0.862072i \(0.330833\pi\)
\(602\) −41.5067 20.6173i −1.69168 0.840300i
\(603\) −13.5095 16.9404i −0.550150 0.689866i
\(604\) −36.3549 24.7863i −1.47926 1.00854i
\(605\) −57.8172 53.6465i −2.35060 2.18104i
\(606\) −3.12822 + 5.41823i −0.127075 + 0.220101i
\(607\) −2.35803 4.08423i −0.0957095 0.165774i 0.814195 0.580591i \(-0.197179\pi\)
−0.909904 + 0.414818i \(0.863845\pi\)
\(608\) 3.67279 16.0916i 0.148951 0.652599i
\(609\) −4.38185 + 10.7756i −0.177562 + 0.436648i
\(610\) 1.23476 + 5.40983i 0.0499939 + 0.219038i
\(611\) −6.83307 + 6.34016i −0.276436 + 0.256496i
\(612\) 53.7275 8.09812i 2.17181 0.327347i
\(613\) −7.85740 + 1.18431i −0.317357 + 0.0478339i −0.305789 0.952099i \(-0.598920\pi\)
−0.0115679 + 0.999933i \(0.503682\pi\)
\(614\) 39.0017 36.1883i 1.57398 1.46044i
\(615\) −3.90664 17.1161i −0.157531 0.690188i
\(616\) −126.038 + 114.111i −5.07822 + 4.59767i
\(617\) −1.28951 + 5.64969i −0.0519135 + 0.227448i −0.994229 0.107278i \(-0.965787\pi\)
0.942316 + 0.334726i \(0.108644\pi\)
\(618\) −4.45141 7.71006i −0.179062 0.310144i
\(619\) 7.39318 12.8054i 0.297157 0.514691i −0.678327 0.734760i \(-0.737295\pi\)
0.975484 + 0.220069i \(0.0706282\pi\)
\(620\) −78.3996 72.7442i −3.14860 2.92148i
\(621\) 1.27893 + 0.871958i 0.0513216 + 0.0349905i
\(622\) 44.2813 + 55.5270i 1.77552 + 2.22643i
\(623\) 6.06485 2.82988i 0.242983 0.113377i
\(624\) −8.26504 + 10.3640i −0.330866 + 0.414893i
\(625\) −28.7630 + 8.87222i −1.15052 + 0.354889i
\(626\) 18.9652 + 48.3226i 0.758002 + 1.93136i
\(627\) −0.268249 + 3.57954i −0.0107128 + 0.142953i
\(628\) 14.3734 36.6229i 0.573562 1.46141i
\(629\) −9.98051 4.80636i −0.397949 0.191642i
\(630\) 15.1926 + 40.1463i 0.605286 + 1.59947i
\(631\) 6.62749 3.19163i 0.263836 0.127057i −0.297290 0.954787i \(-0.596083\pi\)
0.561126 + 0.827731i \(0.310368\pi\)
\(632\) −3.23933 43.2258i −0.128854 1.71943i
\(633\) 5.51677 + 1.70170i 0.219272 + 0.0676364i
\(634\) −69.1662 + 47.1567i −2.74694 + 1.87283i
\(635\) −12.3665 1.86395i −0.490749 0.0739685i
\(636\) −0.680640 −0.0269891
\(637\) −5.68555 4.08345i −0.225270 0.161792i
\(638\) −95.4977 −3.78079
\(639\) −26.6688 4.01967i −1.05500 0.159016i
\(640\) −101.945 + 69.5050i −4.02973 + 2.74743i
\(641\) 8.32061 + 2.56657i 0.328644 + 0.101373i 0.454687 0.890651i \(-0.349751\pi\)
−0.126042 + 0.992025i \(0.540227\pi\)
\(642\) −0.737692 9.84382i −0.0291144 0.388505i
\(643\) −16.6158 + 8.00174i −0.655263 + 0.315558i −0.731811 0.681508i \(-0.761324\pi\)
0.0765478 + 0.997066i \(0.475610\pi\)
\(644\) −4.97667 1.60198i −0.196108 0.0631268i
\(645\) 11.9540 + 5.75675i 0.470689 + 0.226672i
\(646\) −2.82949 + 7.20943i −0.111325 + 0.283651i
\(647\) −0.861864 + 11.5008i −0.0338834 + 0.452142i 0.954298 + 0.298855i \(0.0966048\pi\)
−0.988182 + 0.153287i \(0.951014\pi\)
\(648\) −12.1540 30.9679i −0.477454 1.21653i
\(649\) −40.3151 + 12.4356i −1.58251 + 0.488139i
\(650\) 2.45307 3.07606i 0.0962175 0.120653i
\(651\) 10.3980 12.7166i 0.407530 0.498404i
\(652\) −68.3398 85.6954i −2.67639 3.35609i
\(653\) −36.7456 25.0528i −1.43797 0.980390i −0.996542 0.0830924i \(-0.973520\pi\)
−0.441426 0.897298i \(-0.645527\pi\)
\(654\) −12.2301 11.3479i −0.478235 0.443737i
\(655\) −12.0966 + 20.9519i −0.472652 + 0.818657i
\(656\) −67.7174 117.290i −2.64392 4.57941i
\(657\) 6.44409 28.2334i 0.251408 1.10149i
\(658\) −33.2582 59.2664i −1.29654 2.31044i
\(659\) 5.60280 + 24.5475i 0.218254 + 0.956233i 0.958767 + 0.284192i \(0.0917252\pi\)
−0.740514 + 0.672041i \(0.765418\pi\)
\(660\) 55.5385 51.5322i 2.16183 2.00589i
\(661\) 3.21869 0.485140i 0.125193 0.0188697i −0.0861470 0.996282i \(-0.527455\pi\)
0.211340 + 0.977413i \(0.432217\pi\)
\(662\) 58.5260 8.82138i 2.27468 0.342853i
\(663\) 2.52438 2.34228i 0.0980386 0.0909666i
\(664\) 30.2339 + 132.463i 1.17330 + 5.14058i
\(665\) −4.44812 0.726162i −0.172491 0.0281594i
\(666\) −3.77109 + 16.5222i −0.146127 + 0.640224i
\(667\) −0.943303 1.63385i −0.0365248 0.0632628i
\(668\) 9.89531 17.1392i 0.382861 0.663134i
\(669\) −14.7541 13.6898i −0.570428 0.529280i
\(670\) −53.8601 36.7212i −2.08080 1.41866i
\(671\) −3.21347 4.02957i −0.124055 0.155560i
\(672\) −32.8471 42.2380i −1.26711 1.62937i
\(673\) −22.0825 + 27.6905i −0.851216 + 1.06739i 0.145732 + 0.989324i \(0.453446\pi\)
−0.996948 + 0.0780670i \(0.975125\pi\)
\(674\) −94.3623 + 29.1069i −3.63470 + 1.12116i
\(675\) −2.28555 5.82349i −0.0879709 0.224146i
\(676\) 0.418015 5.57802i 0.0160775 0.214539i
\(677\) 2.84565 7.25059i 0.109367 0.278663i −0.865704 0.500557i \(-0.833129\pi\)
0.975071 + 0.221894i \(0.0712239\pi\)
\(678\) 1.71049 + 0.823729i 0.0656910 + 0.0316351i
\(679\) 10.1676 + 9.66808i 0.390195 + 0.371027i
\(680\) 94.6188 45.5660i 3.62846 1.74738i
\(681\) −0.965193 12.8796i −0.0369863 0.493548i
\(682\) 128.864 + 39.7494i 4.93447 + 1.52208i
\(683\) −22.6400 + 15.4357i −0.866294 + 0.590629i −0.912854 0.408286i \(-0.866126\pi\)
0.0465601 + 0.998915i \(0.485174\pi\)
\(684\) 8.63039 + 1.30082i 0.329991 + 0.0497382i
\(685\) −15.8651 −0.606176
\(686\) 38.6593 33.3179i 1.47602 1.27208i
\(687\) 1.56976 0.0598899
\(688\) 101.210 + 15.2550i 3.85860 + 0.581590i
\(689\) 0.122119 0.0832593i 0.00465236 0.00317193i
\(690\) 1.94163 + 0.598913i 0.0739166 + 0.0228002i
\(691\) −0.774971 10.3413i −0.0294813 0.393400i −0.992352 0.123438i \(-0.960608\pi\)
0.962871 0.269962i \(-0.0870111\pi\)
\(692\) 60.7939 29.2768i 2.31104 1.11294i
\(693\) −28.8928 27.4735i −1.09755 1.04363i
\(694\) −46.0116 22.1580i −1.74658 0.841106i
\(695\) 1.29750 3.30598i 0.0492170 0.125403i
\(696\) 3.25371 43.4178i 0.123332 1.64575i
\(697\) 12.8538 + 32.7510i 0.486874 + 1.24053i
\(698\) −85.5481 + 26.3881i −3.23804 + 0.998804i
\(699\) 1.04374 1.30881i 0.0394778 0.0495036i
\(700\) 12.9715 + 16.6800i 0.490275 + 0.630443i
\(701\) 2.97189 + 3.72663i 0.112247 + 0.140753i 0.834781 0.550582i \(-0.185594\pi\)
−0.722534 + 0.691335i \(0.757023\pi\)
\(702\) −9.97626 6.80170i −0.376530 0.256714i
\(703\) −1.30440 1.21031i −0.0491964 0.0456476i
\(704\) 115.148 199.443i 4.33982 7.51679i
\(705\) 9.72803 + 16.8494i 0.366379 + 0.634587i
\(706\) −1.73296 + 7.59261i −0.0652210 + 0.285752i
\(707\) 7.20104 + 1.17558i 0.270823 + 0.0442123i
\(708\) −6.66231 29.1895i −0.250385 1.09701i
\(709\) −14.2651 + 13.2360i −0.535735 + 0.497090i −0.901003 0.433813i \(-0.857168\pi\)
0.365268 + 0.930903i \(0.380977\pi\)
\(710\) −80.2334 + 12.0932i −3.01111 + 0.453851i
\(711\) 10.0513 1.51499i 0.376954 0.0568166i
\(712\) −18.3629 + 17.0383i −0.688179 + 0.638537i
\(713\) 0.592826 + 2.59734i 0.0222015 + 0.0972712i
\(714\) 12.2867 + 21.8951i 0.459820 + 0.819403i
\(715\) −3.66092 + 16.0396i −0.136911 + 0.599845i
\(716\) 53.1889 + 92.1259i 1.98776 + 3.44291i
\(717\) 1.64504 2.84929i 0.0614351 0.106409i
\(718\) 18.0527 + 16.7504i 0.673719 + 0.625120i
\(719\) 25.9770 + 17.7108i 0.968778 + 0.660501i 0.940748 0.339106i \(-0.110124\pi\)
0.0280294 + 0.999607i \(0.491077\pi\)
\(720\) −59.1064 74.1171i −2.20277 2.76218i
\(721\) −6.57220 + 8.03772i −0.244762 + 0.299340i
\(722\) 31.8687 39.9621i 1.18603 1.48724i
\(723\) −1.21170 + 0.373760i −0.0450637 + 0.0139003i
\(724\) −7.26984 18.5232i −0.270181 0.688411i
\(725\) −0.569809 + 7.60357i −0.0211622 + 0.282389i
\(726\) −25.7846 + 65.6981i −0.956956 + 2.43828i
\(727\) −32.2954 15.5527i −1.19777 0.576816i −0.274731 0.961521i \(-0.588589\pi\)
−0.923040 + 0.384705i \(0.874303\pi\)
\(728\) 24.9403 + 8.02823i 0.924349 + 0.297546i
\(729\) −2.72151 + 1.31061i −0.100797 + 0.0485411i
\(730\) −6.51085 86.8813i −0.240978 3.21562i
\(731\) −25.4079 7.83731i −0.939746 0.289873i
\(732\) 3.02205 2.06040i 0.111698 0.0761544i
\(733\) −32.8487 4.95115i −1.21329 0.182875i −0.488949 0.872312i \(-0.662620\pi\)
−0.724345 + 0.689437i \(0.757858\pi\)
\(734\) −3.39824 −0.125431
\(735\) −10.9502 + 9.67302i −0.403903 + 0.356795i
\(736\) 8.67800 0.319875
\(737\) 59.8713 + 9.02414i 2.20539 + 0.332408i
\(738\) 44.4727 30.3210i 1.63706 1.11613i
\(739\) 8.79171 + 2.71188i 0.323408 + 0.0997583i 0.452208 0.891912i \(-0.350636\pi\)
−0.128800 + 0.991671i \(0.541113\pi\)
\(740\) 2.80665 + 37.4522i 0.103175 + 1.37677i
\(741\) 0.498382 0.240008i 0.0183085 0.00881693i
\(742\) 0.381395 + 1.00783i 0.0140015 + 0.0369988i
\(743\) −8.87458 4.27377i −0.325577 0.156789i 0.263954 0.964535i \(-0.414973\pi\)
−0.589531 + 0.807746i \(0.700687\pi\)
\(744\) −22.4625 + 57.2335i −0.823515 + 2.09828i
\(745\) 0.842235 11.2388i 0.0308571 0.411759i
\(746\) 15.5143 + 39.5298i 0.568019 + 1.44729i
\(747\) −30.4459 + 9.39131i −1.11396 + 0.343610i
\(748\) −94.6652 + 118.706i −3.46130 + 4.34034i
\(749\) −10.4324 + 4.86781i −0.381193 + 0.177866i
\(750\) 12.8106 + 16.0640i 0.467776 + 0.586573i
\(751\) −24.1445 16.4614i −0.881045 0.600686i 0.0360522 0.999350i \(-0.488522\pi\)
−0.917097 + 0.398664i \(0.869474\pi\)
\(752\) 110.024 + 102.087i 4.01216 + 3.72274i
\(753\) 4.29243 7.43470i 0.156425 0.270936i
\(754\) 7.35823 + 12.7448i 0.267971 + 0.464139i
\(755\) 4.43774 19.4430i 0.161506 0.707604i
\(756\) 48.0709 43.5220i 1.74832 1.58288i
\(757\) −6.49507 28.4568i −0.236067 1.03428i −0.944503 0.328503i \(-0.893456\pi\)
0.708436 0.705775i \(-0.249401\pi\)
\(758\) −17.0397 + 15.8105i −0.618909 + 0.574264i
\(759\) −1.86620 + 0.281285i −0.0677389 + 0.0102100i
\(760\) 16.6810 2.51426i 0.605085 0.0912019i
\(761\) −15.4210 + 14.3086i −0.559010 + 0.518686i −0.908295 0.418331i \(-0.862615\pi\)
0.349284 + 0.937017i \(0.386425\pi\)
\(762\) 2.49020 + 10.9103i 0.0902106 + 0.395238i
\(763\) −7.32930 + 18.0237i −0.265339 + 0.652503i
\(764\) −17.8062 + 78.0143i −0.644207 + 2.82246i
\(765\) 12.3134 + 21.3275i 0.445193 + 0.771097i
\(766\) 8.45585 14.6460i 0.305522 0.529180i
\(767\) 4.76595 + 4.42215i 0.172088 + 0.159675i
\(768\) 42.9422 + 29.2775i 1.54954 + 1.05646i
\(769\) −15.6371 19.6083i −0.563889 0.707095i 0.415382 0.909647i \(-0.363648\pi\)
−0.979271 + 0.202552i \(0.935076\pi\)
\(770\) −107.425 53.3608i −3.87135 1.92299i
\(771\) 12.7797 16.0253i 0.460251 0.577136i
\(772\) −8.17826 + 2.52266i −0.294342 + 0.0907925i
\(773\) 12.2973 +