Properties

Label 483.2.y.a.4.1
Level $483$
Weight $2$
Character 483.4
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 4.1
Character \(\chi\) \(=\) 483.4
Dual form 483.2.y.a.121.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.59717 + 2.24291i) q^{2} +(-0.235759 + 0.971812i) q^{3} +(-1.82557 - 5.27464i) q^{4} +(-0.128956 + 2.70712i) q^{5} +(-1.80314 - 2.08094i) q^{6} +(2.64469 + 0.0748341i) q^{7} +(9.46243 + 2.77842i) q^{8} +(-0.888835 - 0.458227i) q^{9} +O(q^{10})\) \(q+(-1.59717 + 2.24291i) q^{2} +(-0.235759 + 0.971812i) q^{3} +(-1.82557 - 5.27464i) q^{4} +(-0.128956 + 2.70712i) q^{5} +(-1.80314 - 2.08094i) q^{6} +(2.64469 + 0.0748341i) q^{7} +(9.46243 + 2.77842i) q^{8} +(-0.888835 - 0.458227i) q^{9} +(-5.86587 - 4.61297i) q^{10} +(3.33228 + 4.67953i) q^{11} +(5.55635 - 0.530567i) q^{12} +(-0.311590 + 2.16716i) q^{13} +(-4.39188 + 5.81230i) q^{14} +(-2.60041 - 0.763548i) q^{15} +(-12.5700 + 9.88514i) q^{16} +(-2.11627 + 0.407878i) q^{17} +(2.44739 - 1.26172i) q^{18} +(7.06375 + 1.36143i) q^{19} +(14.5145 - 4.26184i) q^{20} +(-0.696235 + 2.55250i) q^{21} -15.8180 q^{22} +(-2.73936 - 3.93648i) q^{23} +(-4.93095 + 8.54066i) q^{24} +(-2.33450 - 0.222917i) q^{25} +(-4.36308 - 4.16019i) q^{26} +(0.654861 - 0.755750i) q^{27} +(-4.43335 - 14.0864i) q^{28} +(2.79880e-5 + 3.22998e-5i) q^{29} +(5.86587 - 4.61297i) q^{30} +(-1.97396 + 1.88217i) q^{31} +(-1.15661 - 24.2802i) q^{32} +(-5.33324 + 2.13511i) q^{33} +(2.46521 - 5.39807i) q^{34} +(-0.543633 + 7.14984i) q^{35} +(-0.794348 + 5.52481i) q^{36} +(-4.79844 - 2.47377i) q^{37} +(-14.3356 + 13.6690i) q^{38} +(-2.03261 - 0.813734i) q^{39} +(-8.74174 + 25.2576i) q^{40} +(2.03072 + 1.30506i) q^{41} +(-4.61303 - 5.63838i) q^{42} +(6.37560 - 1.87205i) q^{43} +(18.5995 - 26.1194i) q^{44} +(1.35509 - 2.34709i) q^{45} +(13.2044 + 0.143091i) q^{46} +(-2.33768 - 4.04899i) q^{47} +(-6.64301 - 14.5462i) q^{48} +(6.98880 + 0.395826i) q^{49} +(4.22858 - 4.88004i) q^{50} +(0.102549 - 2.15278i) q^{51} +(11.9998 - 2.31277i) q^{52} +(-4.59519 - 1.83964i) q^{53} +(0.649156 + 2.67586i) q^{54} +(-13.0978 + 8.41742i) q^{55} +(24.8173 + 8.05618i) q^{56} +(-2.98839 + 6.54367i) q^{57} +(-0.000117147 + 1.11862e-5i) q^{58} +(3.04192 + 2.39219i) q^{59} +(0.719783 + 15.1101i) q^{60} +(-2.11943 - 8.73641i) q^{61} +(-1.06879 - 7.43357i) q^{62} +(-2.31641 - 1.27838i) q^{63} +(29.4003 + 18.8944i) q^{64} +(-5.82657 - 1.12298i) q^{65} +(3.72924 - 15.3721i) q^{66} +(-10.8245 - 1.03361i) q^{67} +(6.01481 + 10.4180i) q^{68} +(4.47135 - 1.73408i) q^{69} +(-15.1682 - 12.6389i) q^{70} +(-3.52147 - 7.71095i) q^{71} +(-7.13740 - 6.80549i) q^{72} +(1.45196 + 4.19516i) q^{73} +(13.2124 - 6.81146i) q^{74} +(0.767012 - 2.21614i) q^{75} +(-5.71434 - 39.7441i) q^{76} +(8.46266 + 12.6253i) q^{77} +(5.07156 - 3.25929i) q^{78} +(-4.13206 + 1.65423i) q^{79} +(-25.1393 - 35.3032i) q^{80} +(0.580057 + 0.814576i) q^{81} +(-6.17056 + 2.47032i) q^{82} +(2.47227 - 1.58883i) q^{83} +(14.7345 - 0.987382i) q^{84} +(-0.831268 - 5.78159i) q^{85} +(-5.98410 + 17.2899i) q^{86} +(-3.79878e-5 + 1.95841e-5i) q^{87} +(18.5297 + 53.5382i) q^{88} +(-1.13111 - 1.07852i) q^{89} +(3.10001 + 6.78807i) q^{90} +(-0.986237 + 5.70815i) q^{91} +(-15.7626 + 21.6355i) q^{92} +(-1.36373 - 2.36206i) q^{93} +(12.8152 + 1.22370i) q^{94} +(-4.59646 + 18.9469i) q^{95} +(23.8684 + 4.60027i) q^{96} +(-0.371269 - 0.238600i) q^{97} +(-12.0501 + 15.0431i) q^{98} +(-0.817562 - 5.68627i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 8q^{10} - 6q^{11} - 18q^{12} - 10q^{14} + 18q^{15} + 8q^{16} + 4q^{17} + 2q^{18} + 18q^{20} + 4q^{21} - 176q^{22} - 18q^{23} - 6q^{24} + 8q^{25} - 14q^{26} + 32q^{27} + 46q^{28} + 34q^{29} - 8q^{30} + 52q^{31} - 8q^{32} - 5q^{33} - 24q^{34} - 12q^{35} - 14q^{36} - 30q^{37} - 157q^{38} + 88q^{40} - 28q^{41} - 45q^{42} + 64q^{43} - 71q^{44} - 2q^{45} + 4q^{46} + 36q^{47} + 60q^{48} + 28q^{49} + 210q^{50} - 26q^{51} - 198q^{52} - 10q^{53} - 2q^{54} - 4q^{55} + 44q^{57} + 31q^{58} + 10q^{59} - 2q^{60} - 34q^{61} - 8q^{62} + 2q^{63} + 84q^{64} + 38q^{65} - 12q^{67} - 22q^{68} + 8q^{69} - 336q^{70} - 144q^{71} + 6q^{72} - 16q^{73} - 68q^{74} - 30q^{75} + 8q^{76} + 98q^{77} + 16q^{78} + 26q^{79} + 225q^{80} + 16q^{81} - 122q^{82} + 44q^{84} - 240q^{85} - 26q^{86} - 16q^{87} + 43q^{88} + 68q^{89} - 16q^{90} + 40q^{91} - 222q^{92} - 8q^{93} + 137q^{94} - 49q^{95} + 30q^{96} - 8q^{97} + 137q^{98} - 10q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.59717 + 2.24291i −1.12937 + 1.58598i −0.378403 + 0.925641i \(0.623527\pi\)
−0.750968 + 0.660339i \(0.770413\pi\)
\(3\) −0.235759 + 0.971812i −0.136115 + 0.561076i
\(4\) −1.82557 5.27464i −0.912785 2.63732i
\(5\) −0.128956 + 2.70712i −0.0576708 + 1.21066i 0.765716 + 0.643179i \(0.222385\pi\)
−0.823387 + 0.567481i \(0.807918\pi\)
\(6\) −1.80314 2.08094i −0.736130 0.849539i
\(7\) 2.64469 + 0.0748341i 0.999600 + 0.0282846i
\(8\) 9.46243 + 2.77842i 3.34547 + 0.982320i
\(9\) −0.888835 0.458227i −0.296278 0.152742i
\(10\) −5.86587 4.61297i −1.85495 1.45875i
\(11\) 3.33228 + 4.67953i 1.00472 + 1.41093i 0.909609 + 0.415465i \(0.136381\pi\)
0.0951102 + 0.995467i \(0.469680\pi\)
\(12\) 5.55635 0.530567i 1.60398 0.153161i
\(13\) −0.311590 + 2.16716i −0.0864196 + 0.601061i 0.899885 + 0.436127i \(0.143650\pi\)
−0.986305 + 0.164934i \(0.947259\pi\)
\(14\) −4.39188 + 5.81230i −1.17378 + 1.55340i
\(15\) −2.60041 0.763548i −0.671422 0.197147i
\(16\) −12.5700 + 9.88514i −3.14249 + 2.47129i
\(17\) −2.11627 + 0.407878i −0.513271 + 0.0989249i −0.439309 0.898336i \(-0.644777\pi\)
−0.0739624 + 0.997261i \(0.523564\pi\)
\(18\) 2.44739 1.26172i 0.576854 0.297389i
\(19\) 7.06375 + 1.36143i 1.62054 + 0.312333i 0.917170 0.398495i \(-0.130467\pi\)
0.703366 + 0.710828i \(0.251680\pi\)
\(20\) 14.5145 4.26184i 3.24554 0.952976i
\(21\) −0.696235 + 2.55250i −0.151931 + 0.557001i
\(22\) −15.8180 −3.37241
\(23\) −2.73936 3.93648i −0.571196 0.820814i
\(24\) −4.93095 + 8.54066i −1.00653 + 1.74335i
\(25\) −2.33450 0.222917i −0.466899 0.0445835i
\(26\) −4.36308 4.16019i −0.855671 0.815881i
\(27\) 0.654861 0.755750i 0.126028 0.145444i
\(28\) −4.43335 14.0864i −0.837824 2.66208i
\(29\) 2.79880e−5 0 3.22998e-5i 5.19723e−6 0 5.99793e-6i 0.755752 0.654858i \(-0.227271\pi\)
−0.755747 + 0.654864i \(0.772726\pi\)
\(30\) 5.86587 4.61297i 1.07096 0.842209i
\(31\) −1.97396 + 1.88217i −0.354534 + 0.338047i −0.846326 0.532665i \(-0.821190\pi\)
0.491792 + 0.870713i \(0.336342\pi\)
\(32\) −1.15661 24.2802i −0.204461 4.29217i
\(33\) −5.33324 + 2.13511i −0.928397 + 0.371674i
\(34\) 2.46521 5.39807i 0.422781 0.925761i
\(35\) −0.543633 + 7.14984i −0.0918908 + 1.20854i
\(36\) −0.794348 + 5.52481i −0.132391 + 0.920802i
\(37\) −4.79844 2.47377i −0.788859 0.406685i 0.0162082 0.999869i \(-0.494841\pi\)
−0.805067 + 0.593184i \(0.797871\pi\)
\(38\) −14.3356 + 13.6690i −2.32554 + 2.21740i
\(39\) −2.03261 0.813734i −0.325478 0.130302i
\(40\) −8.74174 + 25.2576i −1.38219 + 3.99358i
\(41\) 2.03072 + 1.30506i 0.317145 + 0.203817i 0.689522 0.724265i \(-0.257821\pi\)
−0.372377 + 0.928082i \(0.621457\pi\)
\(42\) −4.61303 5.63838i −0.711806 0.870020i
\(43\) 6.37560 1.87205i 0.972270 0.285484i 0.243240 0.969966i \(-0.421790\pi\)
0.729030 + 0.684482i \(0.239971\pi\)
\(44\) 18.5995 26.1194i 2.80398 3.93764i
\(45\) 1.35509 2.34709i 0.202005 0.349884i
\(46\) 13.2044 + 0.143091i 1.94689 + 0.0210976i
\(47\) −2.33768 4.04899i −0.340986 0.590606i 0.643630 0.765337i \(-0.277428\pi\)
−0.984616 + 0.174731i \(0.944094\pi\)
\(48\) −6.64301 14.5462i −0.958836 2.09956i
\(49\) 6.98880 + 0.395826i 0.998400 + 0.0565466i
\(50\) 4.22858 4.88004i 0.598011 0.690141i
\(51\) 0.102549 2.15278i 0.0143598 0.301449i
\(52\) 11.9998 2.31277i 1.66407 0.320724i
\(53\) −4.59519 1.83964i −0.631198 0.252693i 0.0339286 0.999424i \(-0.489198\pi\)
−0.665126 + 0.746731i \(0.731622\pi\)
\(54\) 0.649156 + 2.67586i 0.0883390 + 0.364138i
\(55\) −13.0978 + 8.41742i −1.76610 + 1.13500i
\(56\) 24.8173 + 8.05618i 3.31635 + 1.07655i
\(57\) −2.98839 + 6.54367i −0.395822 + 0.866730i
\(58\) −0.000117147 0 1.11862e-5i −1.53822e−5 0 1.46882e-6i
\(59\) 3.04192 + 2.39219i 0.396024 + 0.311437i 0.796236 0.604986i \(-0.206821\pi\)
−0.400212 + 0.916423i \(0.631064\pi\)
\(60\) 0.719783 + 15.1101i 0.0929236 + 1.95071i
\(61\) −2.11943 8.73641i −0.271365 1.11858i −0.930422 0.366489i \(-0.880560\pi\)
0.659057 0.752093i \(-0.270956\pi\)
\(62\) −1.06879 7.43357i −0.135736 0.944065i
\(63\) −2.31641 1.27838i −0.291840 0.161061i
\(64\) 29.4003 + 18.8944i 3.67503 + 2.36180i
\(65\) −5.82657 1.12298i −0.722697 0.139288i
\(66\) 3.72924 15.3721i 0.459037 1.89218i
\(67\) −10.8245 1.03361i −1.32242 0.126276i −0.590153 0.807291i \(-0.700933\pi\)
−0.732269 + 0.681015i \(0.761539\pi\)
\(68\) 6.01481 + 10.4180i 0.729403 + 1.26336i
\(69\) 4.47135 1.73408i 0.538287 0.208759i
\(70\) −15.1682 12.6389i −1.81295 1.51063i
\(71\) −3.52147 7.71095i −0.417922 0.915122i −0.995134 0.0985277i \(-0.968587\pi\)
0.577212 0.816594i \(-0.304141\pi\)
\(72\) −7.13740 6.80549i −0.841150 0.802035i
\(73\) 1.45196 + 4.19516i 0.169939 + 0.491006i 0.997523 0.0703350i \(-0.0224068\pi\)
−0.827585 + 0.561341i \(0.810286\pi\)
\(74\) 13.2124 6.81146i 1.53591 0.791816i
\(75\) 0.767012 2.21614i 0.0885669 0.255897i
\(76\) −5.71434 39.7441i −0.655480 4.55896i
\(77\) 8.46266 + 12.6253i 0.964410 + 1.43878i
\(78\) 5.07156 3.25929i 0.574241 0.369042i
\(79\) −4.13206 + 1.65423i −0.464893 + 0.186115i −0.592271 0.805739i \(-0.701768\pi\)
0.127377 + 0.991854i \(0.459344\pi\)
\(80\) −25.1393 35.3032i −2.81066 3.94701i
\(81\) 0.580057 + 0.814576i 0.0644508 + 0.0905084i
\(82\) −6.17056 + 2.47032i −0.681424 + 0.272801i
\(83\) 2.47227 1.58883i 0.271366 0.174397i −0.397879 0.917438i \(-0.630254\pi\)
0.669246 + 0.743041i \(0.266617\pi\)
\(84\) 14.7345 0.987382i 1.60767 0.107732i
\(85\) −0.831268 5.78159i −0.0901636 0.627102i
\(86\) −5.98410 + 17.2899i −0.645282 + 1.86442i
\(87\) −3.79878e−5 0 1.95841e-5i −4.07272e−6 0 2.09963e-6i
\(88\) 18.5297 + 53.5382i 1.97528 + 5.70719i
\(89\) −1.13111 1.07852i −0.119898 0.114322i 0.627759 0.778408i \(-0.283973\pi\)
−0.747656 + 0.664086i \(0.768821\pi\)
\(90\) 3.10001 + 6.78807i 0.326769 + 0.715525i
\(91\) −0.986237 + 5.70815i −0.103386 + 0.598376i
\(92\) −15.7626 + 21.6355i −1.64337 + 2.25565i
\(93\) −1.36373 2.36206i −0.141413 0.244934i
\(94\) 12.8152 + 1.22370i 1.32179 + 0.126216i
\(95\) −4.59646 + 18.9469i −0.471586 + 1.94391i
\(96\) 23.8684 + 4.60027i 2.43606 + 0.469513i
\(97\) −0.371269 0.238600i −0.0376966 0.0242262i 0.521657 0.853155i \(-0.325314\pi\)
−0.559353 + 0.828929i \(0.688951\pi\)
\(98\) −12.0501 + 15.0431i −1.21725 + 1.51958i
\(99\) −0.817562 5.68627i −0.0821681 0.571492i
\(100\) 3.08598 + 12.7206i 0.308598 + 1.27206i
\(101\) 0.524544 + 11.0115i 0.0521941 + 1.09569i 0.861323 + 0.508058i \(0.169636\pi\)
−0.809129 + 0.587631i \(0.800061\pi\)
\(102\) 4.66471 + 3.66837i 0.461875 + 0.363222i
\(103\) −4.53273 + 0.432823i −0.446623 + 0.0426473i −0.315945 0.948778i \(-0.602321\pi\)
−0.130678 + 0.991425i \(0.541715\pi\)
\(104\) −8.96967 + 19.6408i −0.879549 + 1.92594i
\(105\) −6.82013 2.21395i −0.665577 0.216059i
\(106\) 11.4655 7.36840i 1.11362 0.715682i
\(107\) 0.507228 + 2.09082i 0.0490356 + 0.202128i 0.991060 0.133417i \(-0.0425949\pi\)
−0.942024 + 0.335544i \(0.891080\pi\)
\(108\) −5.18180 2.07448i −0.498619 0.199617i
\(109\) 12.6921 2.44620i 1.21568 0.234304i 0.459210 0.888328i \(-0.348133\pi\)
0.756474 + 0.654024i \(0.226920\pi\)
\(110\) 2.03982 42.8212i 0.194490 4.08284i
\(111\) 3.53531 4.07997i 0.335557 0.387253i
\(112\) −33.9835 + 25.2025i −3.21114 + 2.38141i
\(113\) −5.38597 11.7936i −0.506669 1.10945i −0.974244 0.225498i \(-0.927599\pi\)
0.467574 0.883954i \(-0.345128\pi\)
\(114\) −9.90391 17.1541i −0.927586 1.60663i
\(115\) 11.0098 6.90814i 1.02667 0.644187i
\(116\) 0.000119276 0 0.000206592i 1.10745e−5 0 1.91816e-5i
\(117\) 1.27000 1.78347i 0.117412 0.164882i
\(118\) −10.2240 + 3.00202i −0.941191 + 0.276359i
\(119\) −5.62741 + 0.920342i −0.515864 + 0.0843676i
\(120\) −22.4847 14.4500i −2.05256 1.31910i
\(121\) −7.19617 + 20.7920i −0.654198 + 1.89018i
\(122\) 22.9801 + 9.19985i 2.08052 + 0.832915i
\(123\) −1.74704 + 1.66580i −0.157525 + 0.150200i
\(124\) 13.5314 + 6.97590i 1.21515 + 0.626454i
\(125\) −1.02399 + 7.12200i −0.0915883 + 0.637011i
\(126\) 6.56700 3.15370i 0.585035 0.280954i
\(127\) −3.22370 + 7.05891i −0.286057 + 0.626377i −0.997044 0.0768276i \(-0.975521\pi\)
0.710988 + 0.703205i \(0.248248\pi\)
\(128\) −44.2028 + 17.6961i −3.90701 + 1.56413i
\(129\) 0.316171 + 6.63724i 0.0278373 + 0.584376i
\(130\) 11.8248 11.2749i 1.03710 0.988874i
\(131\) −10.3373 + 8.12935i −0.903175 + 0.710265i −0.957553 0.288256i \(-0.906925\pi\)
0.0543786 + 0.998520i \(0.482682\pi\)
\(132\) 20.9981 + 24.2331i 1.82765 + 2.10922i
\(133\) 18.5796 + 4.12917i 1.61105 + 0.358044i
\(134\) 19.6069 22.6276i 1.69378 1.95472i
\(135\) 1.96145 + 1.87024i 0.168815 + 0.160965i
\(136\) −21.1583 2.02037i −1.81431 0.173246i
\(137\) 0.604038 1.04622i 0.0516065 0.0893850i −0.839068 0.544026i \(-0.816899\pi\)
0.890675 + 0.454641i \(0.150233\pi\)
\(138\) −3.25212 + 12.7985i −0.276839 + 1.08948i
\(139\) 12.4295 1.05426 0.527129 0.849785i \(-0.323268\pi\)
0.527129 + 0.849785i \(0.323268\pi\)
\(140\) 38.7053 10.1851i 3.27119 0.860795i
\(141\) 4.48598 1.31720i 0.377788 0.110929i
\(142\) 22.9194 + 4.41735i 1.92335 + 0.370696i
\(143\) −11.1796 + 5.76347i −0.934883 + 0.481966i
\(144\) 15.7023 3.02637i 1.30852 0.252197i
\(145\) −9.10486e−5 0 7.16014e-5i −7.56118e−6 0 5.94618e-6i
\(146\) −11.7284 3.44377i −0.970650 0.285008i
\(147\) −2.03234 + 6.69848i −0.167625 + 0.552481i
\(148\) −4.28834 + 29.8261i −0.352500 + 2.45169i
\(149\) 13.7313 1.31118i 1.12491 0.107416i 0.484028 0.875053i \(-0.339173\pi\)
0.640885 + 0.767637i \(0.278567\pi\)
\(150\) 3.74555 + 5.25989i 0.305823 + 0.429468i
\(151\) −5.01210 3.94156i −0.407879 0.320760i 0.393052 0.919516i \(-0.371419\pi\)
−0.800931 + 0.598757i \(0.795662\pi\)
\(152\) 63.0577 + 32.5085i 5.11465 + 2.63679i
\(153\) 2.06792 + 0.607195i 0.167181 + 0.0490888i
\(154\) −41.8338 1.18373i −3.37106 0.0953874i
\(155\) −4.84070 5.58646i −0.388814 0.448715i
\(156\) −0.581481 + 12.2068i −0.0465558 + 0.977326i
\(157\) −4.28340 12.3761i −0.341853 0.987718i −0.976612 0.215009i \(-0.931022\pi\)
0.634760 0.772710i \(-0.281099\pi\)
\(158\) 2.88932 11.9099i 0.229862 0.947505i
\(159\) 2.87114 4.03195i 0.227696 0.319754i
\(160\) 65.8785 5.20815
\(161\) −6.95018 10.6158i −0.547751 0.836641i
\(162\) −2.75347 −0.216333
\(163\) −3.78238 + 5.31161i −0.296259 + 0.416038i −0.935697 0.352805i \(-0.885228\pi\)
0.639438 + 0.768843i \(0.279167\pi\)
\(164\) 3.17652 13.0938i 0.248045 1.02245i
\(165\) −5.09223 14.7130i −0.396429 1.14541i
\(166\) −0.385027 + 8.08271i −0.0298839 + 0.627340i
\(167\) 8.30396 + 9.58328i 0.642580 + 0.741577i 0.979829 0.199839i \(-0.0640419\pi\)
−0.337249 + 0.941416i \(0.609496\pi\)
\(168\) −13.6800 + 22.2184i −1.05543 + 1.71419i
\(169\) 7.87393 + 2.31199i 0.605687 + 0.177846i
\(170\) 14.2953 + 7.36974i 1.09640 + 0.565233i
\(171\) −5.65467 4.44688i −0.432424 0.340062i
\(172\) −21.5135 30.2114i −1.64039 2.30360i
\(173\) 21.4533 2.04854i 1.63106 0.155748i 0.761021 0.648727i \(-0.224698\pi\)
0.870041 + 0.492979i \(0.164092\pi\)
\(174\) 1.67476e−5 0 0.000116482i 1.26964e−6 0 8.83051e-6i
\(175\) −6.15734 0.764248i −0.465451 0.0577717i
\(176\) −88.1445 25.8816i −6.64414 1.95090i
\(177\) −3.04192 + 2.39219i −0.228645 + 0.179808i
\(178\) 4.22560 0.814418i 0.316722 0.0610432i
\(179\) −2.15470 + 1.11083i −0.161050 + 0.0830270i −0.536867 0.843667i \(-0.680392\pi\)
0.375817 + 0.926694i \(0.377362\pi\)
\(180\) −14.8539 2.86285i −1.10714 0.213384i
\(181\) 3.58313 1.05210i 0.266332 0.0782020i −0.145840 0.989308i \(-0.546589\pi\)
0.412172 + 0.911106i \(0.364770\pi\)
\(182\) −11.2277 11.3289i −0.832252 0.839757i
\(183\) 8.98982 0.664546
\(184\) −14.9838 44.8598i −1.10462 3.30711i
\(185\) 7.31557 12.6709i 0.537851 0.931586i
\(186\) 7.47601 + 0.713872i 0.548167 + 0.0523436i
\(187\) −8.96068 8.54399i −0.655270 0.624798i
\(188\) −17.0893 + 19.7221i −1.24637 + 1.43839i
\(189\) 1.78846 1.94972i 0.130091 0.141821i
\(190\) −35.1548 40.5708i −2.55040 2.94332i
\(191\) −4.55925 + 3.58543i −0.329896 + 0.259433i −0.769344 0.638835i \(-0.779417\pi\)
0.439448 + 0.898268i \(0.355174\pi\)
\(192\) −25.2932 + 24.1170i −1.82538 + 1.74049i
\(193\) −0.782745 16.4318i −0.0563432 1.18279i −0.833149 0.553049i \(-0.813464\pi\)
0.776805 0.629741i \(-0.216839\pi\)
\(194\) 1.12814 0.451639i 0.0809957 0.0324258i
\(195\) 2.46499 5.39757i 0.176522 0.386528i
\(196\) −10.6707 37.5860i −0.762193 2.68471i
\(197\) 3.10088 21.5671i 0.220929 1.53659i −0.513608 0.858025i \(-0.671691\pi\)
0.734537 0.678569i \(-0.237400\pi\)
\(198\) 14.0596 + 7.24823i 0.999172 + 0.515109i
\(199\) 19.1689 18.2775i 1.35885 1.29566i 0.441672 0.897177i \(-0.354385\pi\)
0.917176 0.398482i \(-0.130463\pi\)
\(200\) −21.4706 8.59555i −1.51820 0.607797i
\(201\) 3.55645 10.2757i 0.250853 0.724791i
\(202\) −25.5357 16.4108i −1.79669 1.15466i
\(203\) 7.16024e−5 0 8.75176e-5i 5.02551e−6 0 6.14253e-6i
\(204\) −11.5423 + 3.38913i −0.808125 + 0.237287i
\(205\) −3.79484 + 5.32910i −0.265043 + 0.372201i
\(206\) 6.26876 10.8578i 0.436765 0.756499i
\(207\) 0.631039 + 4.75413i 0.0438603 + 0.330435i
\(208\) −17.5060 30.3212i −1.21382 2.10240i
\(209\) 17.1676 + 37.5917i 1.18750 + 2.60027i
\(210\) 15.8586 11.7609i 1.09435 0.811581i
\(211\) 4.36954 5.04272i 0.300812 0.347155i −0.585140 0.810932i \(-0.698961\pi\)
0.885952 + 0.463777i \(0.153506\pi\)
\(212\) −1.31458 + 27.5963i −0.0902854 + 1.89532i
\(213\) 8.32381 1.60428i 0.570338 0.109924i
\(214\) −5.49967 2.20174i −0.375950 0.150508i
\(215\) 4.24568 + 17.5009i 0.289553 + 1.19355i
\(216\) 8.29636 5.33175i 0.564496 0.362780i
\(217\) −5.36137 + 4.83004i −0.363954 + 0.327884i
\(218\) −14.7849 + 32.3743i −1.00136 + 2.19267i
\(219\) −4.41921 + 0.421984i −0.298623 + 0.0285150i
\(220\) 68.3097 + 53.7193i 4.60544 + 3.62176i
\(221\) −0.224526 4.71338i −0.0151033 0.317056i
\(222\) 3.50452 + 14.4458i 0.235208 + 0.969540i
\(223\) −2.14837 14.9423i −0.143866 1.00061i −0.926007 0.377506i \(-0.876782\pi\)
0.782141 0.623101i \(-0.214127\pi\)
\(224\) −1.24189 64.3002i −0.0829770 4.29624i
\(225\) 1.97284 + 1.26786i 0.131522 + 0.0845243i
\(226\) 35.0544 + 6.75619i 2.33179 + 0.449415i
\(227\) −0.0983441 + 0.405380i −0.00652733 + 0.0269060i −0.974982 0.222283i \(-0.928649\pi\)
0.968455 + 0.249189i \(0.0801642\pi\)
\(228\) 39.9710 + 3.81677i 2.64714 + 0.252772i
\(229\) 6.34892 + 10.9966i 0.419548 + 0.726679i 0.995894 0.0905272i \(-0.0288552\pi\)
−0.576346 + 0.817206i \(0.695522\pi\)
\(230\) −2.09015 + 35.7275i −0.137821 + 2.35580i
\(231\) −14.2645 + 5.24759i −0.938538 + 0.345266i
\(232\) 0.000175092 0 0.000383397i 1.14953e−5 0 2.51713e-5i
\(233\) −6.84544 6.52712i −0.448460 0.427606i 0.431893 0.901925i \(-0.357846\pi\)
−0.880353 + 0.474319i \(0.842694\pi\)
\(234\) 1.97175 + 5.69701i 0.128898 + 0.372425i
\(235\) 11.2625 5.80625i 0.734687 0.378758i
\(236\) 7.06471 20.4121i 0.459874 1.32872i
\(237\) −0.633427 4.40558i −0.0411455 0.286173i
\(238\) 6.92369 14.0917i 0.448796 0.913432i
\(239\) −9.42020 + 6.05400i −0.609342 + 0.391600i −0.808610 0.588345i \(-0.799780\pi\)
0.199268 + 0.979945i \(0.436144\pi\)
\(240\) 40.2348 16.1076i 2.59715 1.03974i
\(241\) 16.4810 + 23.1443i 1.06163 + 1.49086i 0.859255 + 0.511548i \(0.170928\pi\)
0.202379 + 0.979307i \(0.435133\pi\)
\(242\) −35.1411 49.3488i −2.25896 3.17226i
\(243\) −0.928368 + 0.371662i −0.0595548 + 0.0238422i
\(244\) −42.2122 + 27.1281i −2.70236 + 1.73670i
\(245\) −1.97280 + 18.8685i −0.126037 + 1.20546i
\(246\) −0.945920 6.57902i −0.0603097 0.419463i
\(247\) −5.15142 + 14.8841i −0.327777 + 0.947050i
\(248\) −23.9079 + 12.3254i −1.51815 + 0.782663i
\(249\) 0.961183 + 2.77716i 0.0609125 + 0.175995i
\(250\) −14.3385 13.6718i −0.906849 0.864679i
\(251\) −5.44450 11.9218i −0.343654 0.752497i 0.656344 0.754462i \(-0.272102\pi\)
−0.999998 + 0.00196443i \(0.999375\pi\)
\(252\) −2.51425 + 14.5520i −0.158383 + 0.916688i
\(253\) 9.29258 25.9364i 0.584220 1.63061i
\(254\) −10.6837 18.5048i −0.670357 1.16109i
\(255\) 5.81460 + 0.555227i 0.364124 + 0.0347696i
\(256\) 14.4299 59.4807i 0.901867 3.71755i
\(257\) 26.1530 + 5.04057i 1.63138 + 0.314422i 0.921049 0.389448i \(-0.127334\pi\)
0.710329 + 0.703870i \(0.248546\pi\)
\(258\) −15.3917 9.89167i −0.958247 0.615828i
\(259\) −12.5053 6.90145i −0.777040 0.428835i
\(260\) 4.71350 + 32.7831i 0.292319 + 2.03312i
\(261\) −1.00761e−5 0 4.15341e-5i −6.23692e−7 0 2.57089e-6i
\(262\) −1.72297 36.1697i −0.106446 2.23457i
\(263\) 18.7636 + 14.7558i 1.15701 + 0.909883i 0.997013 0.0772341i \(-0.0246089\pi\)
0.159998 + 0.987117i \(0.448851\pi\)
\(264\) −56.3976 + 5.38532i −3.47103 + 0.331443i
\(265\) 5.57269 12.2025i 0.342328 0.749593i
\(266\) −38.9361 + 35.0774i −2.38733 + 2.15073i
\(267\) 1.31478 0.844961i 0.0804635 0.0517108i
\(268\) 14.3089 + 58.9822i 0.874057 + 3.60291i
\(269\) 13.2806 + 5.31674i 0.809730 + 0.324167i 0.739323 0.673351i \(-0.235146\pi\)
0.0704075 + 0.997518i \(0.477570\pi\)
\(270\) −7.32758 + 1.41227i −0.445942 + 0.0859483i
\(271\) 0.784409 16.4668i 0.0476494 1.00029i −0.840810 0.541330i \(-0.817921\pi\)
0.888460 0.458955i \(-0.151776\pi\)
\(272\) 22.5696 26.0467i 1.36848 1.57931i
\(273\) −5.31473 2.30418i −0.321662 0.139456i
\(274\) 1.38184 + 3.02581i 0.0834800 + 0.182796i
\(275\) −6.73604 11.6672i −0.406199 0.703557i
\(276\) −17.3094 20.4191i −1.04190 1.22908i
\(277\) −6.01269 + 10.4143i −0.361267 + 0.625734i −0.988170 0.153364i \(-0.950989\pi\)
0.626902 + 0.779098i \(0.284323\pi\)
\(278\) −19.8521 + 27.8784i −1.19065 + 1.67203i
\(279\) 2.61699 0.768416i 0.156675 0.0460039i
\(280\) −25.0094 + 66.1444i −1.49460 + 3.95289i
\(281\) 2.07384 + 1.33278i 0.123715 + 0.0795069i 0.601035 0.799223i \(-0.294755\pi\)
−0.477320 + 0.878730i \(0.658392\pi\)
\(282\) −4.21051 + 12.1655i −0.250732 + 0.724444i
\(283\) 5.59762 + 2.24095i 0.332744 + 0.133211i 0.532018 0.846733i \(-0.321434\pi\)
−0.199274 + 0.979944i \(0.563858\pi\)
\(284\) −34.2438 + 32.6514i −2.03200 + 1.93750i
\(285\) −17.3291 8.93378i −1.02649 0.529191i
\(286\) 4.92873 34.2801i 0.291442 2.02702i
\(287\) 5.27297 + 3.60346i 0.311253 + 0.212706i
\(288\) −10.0978 + 22.1111i −0.595018 + 1.30291i
\(289\) −11.4700 + 4.59190i −0.674707 + 0.270112i
\(290\) −1.51756e−5 0 0.000318574i −8.91139e−7 0 1.87073e-5i
\(291\) 0.319404 0.304551i 0.0187238 0.0178531i
\(292\) 19.4773 15.3171i 1.13982 0.896366i
\(293\) −6.70190 7.73440i −0.391529 0.451849i 0.525426 0.850839i \(-0.323906\pi\)
−0.916955 + 0.398991i \(0.869361\pi\)
\(294\) −11.7781 15.2570i −0.686913 0.889805i
\(295\) −6.86822 + 7.92635i −0.399883 + 0.461490i
\(296\) −38.5317 36.7399i −2.23961 2.13547i
\(297\) 5.71873 + 0.546073i 0.331834 + 0.0316863i
\(298\) −18.9904 + 32.8923i −1.10008 + 1.90540i
\(299\) 9.38454 4.71005i 0.542722 0.272389i
\(300\) −13.0895 −0.755725
\(301\) 17.0016 4.47387i 0.979956 0.257870i
\(302\) 16.8458 4.94636i 0.969365 0.284631i
\(303\) −10.8248 2.08631i −0.621869 0.119855i
\(304\) −102.249 + 52.7131i −5.86439 + 3.02330i
\(305\) 23.9238 4.61093i 1.36987 0.264021i
\(306\) −4.66471 + 3.66837i −0.266663 + 0.209706i
\(307\) 2.53834 + 0.745324i 0.144871 + 0.0425379i 0.353364 0.935486i \(-0.385038\pi\)
−0.208493 + 0.978024i \(0.566856\pi\)
\(308\) 51.1446 67.6858i 2.91424 3.85676i
\(309\) 0.648008 4.50700i 0.0368639 0.256394i
\(310\) 20.2614 1.93473i 1.15077 0.109885i
\(311\) −4.66810 6.55543i −0.264704 0.371724i 0.660737 0.750618i \(-0.270244\pi\)
−0.925440 + 0.378894i \(0.876305\pi\)
\(312\) −16.9725 13.3473i −0.960879 0.755644i
\(313\) 21.4641 + 11.0655i 1.21322 + 0.625461i 0.941532 0.336923i \(-0.109386\pi\)
0.271693 + 0.962384i \(0.412417\pi\)
\(314\) 34.5998 + 10.1594i 1.95258 + 0.573329i
\(315\) 3.75945 6.10593i 0.211821 0.344030i
\(316\) 16.2688 + 18.7752i 0.915193 + 1.05619i
\(317\) 0.183654 3.85537i 0.0103150 0.216539i −0.987825 0.155571i \(-0.950278\pi\)
0.998140 0.0609679i \(-0.0194187\pi\)
\(318\) 4.45761 + 12.8794i 0.249971 + 0.722242i
\(319\) −5.78843e−5 0 0.000238603i −3.24090e−6 0 1.33592e-5i
\(320\) −54.9407 + 77.1534i −3.07128 + 4.31301i
\(321\) −2.15147 −0.120083
\(322\) 34.9109 + 1.36657i 1.94551 + 0.0761562i
\(323\) −15.5041 −0.862672
\(324\) 3.23766 4.54666i 0.179870 0.252592i
\(325\) 1.21050 4.98976i 0.0671466 0.276782i
\(326\) −5.87238 16.9671i −0.325241 0.939722i
\(327\) −0.615029 + 12.9111i −0.0340112 + 0.713983i
\(328\) 15.5895 + 17.9913i 0.860788 + 0.993402i
\(329\) −5.87946 10.8833i −0.324145 0.600014i
\(330\) 41.1332 + 12.0778i 2.26431 + 0.664861i
\(331\) −23.9471 12.3456i −1.31625 0.678576i −0.350141 0.936697i \(-0.613866\pi\)
−0.966113 + 0.258121i \(0.916897\pi\)
\(332\) −12.8938 10.1398i −0.707638 0.556493i
\(333\) 3.13148 + 4.39755i 0.171604 + 0.240984i
\(334\) −34.7573 + 3.31892i −1.90184 + 0.181603i
\(335\) 4.19400 29.1699i 0.229143 1.59372i
\(336\) −16.4802 38.9673i −0.899067 2.12584i
\(337\) −7.09741 2.08399i −0.386621 0.113522i 0.0826452 0.996579i \(-0.473663\pi\)
−0.469266 + 0.883057i \(0.655481\pi\)
\(338\) −17.7616 + 13.9679i −0.966105 + 0.759753i
\(339\) 12.7310 2.45369i 0.691452 0.133266i
\(340\) −28.9783 + 14.9393i −1.57157 + 0.810199i
\(341\) −15.3854 2.96530i −0.833169 0.160580i
\(342\) 19.0055 5.58051i 1.02770 0.301759i
\(343\) 18.4536 + 1.56984i 0.996401 + 0.0847634i
\(344\) 65.5300 3.53314
\(345\) 4.11775 + 12.3281i 0.221692 + 0.663722i
\(346\) −29.6699 + 51.3897i −1.59506 + 2.76273i
\(347\) −5.15292 0.492044i −0.276623 0.0264143i −0.0441775 0.999024i \(-0.514067\pi\)
−0.232446 + 0.972609i \(0.574673\pi\)
\(348\) 0.000172648 0 0.000164620i 9.25491e−6 0 8.82454e-6i
\(349\) −0.692868 + 0.799613i −0.0370884 + 0.0428023i −0.773991 0.633197i \(-0.781742\pi\)
0.736902 + 0.675999i \(0.236288\pi\)
\(350\) 11.5485 12.5898i 0.617292 0.672951i
\(351\) 1.43378 + 1.65467i 0.0765295 + 0.0883198i
\(352\) 109.766 86.3207i 5.85053 4.60091i
\(353\) −8.23303 + 7.85018i −0.438200 + 0.417823i −0.876797 0.480861i \(-0.840324\pi\)
0.438597 + 0.898684i \(0.355476\pi\)
\(354\) −0.507013 10.6435i −0.0269474 0.565696i
\(355\) 21.3286 8.53867i 1.13200 0.453186i
\(356\) −3.62385 + 7.93513i −0.192064 + 0.420561i
\(357\) 0.432313 5.68576i 0.0228804 0.300922i
\(358\) 0.949942 6.60699i 0.0502060 0.349190i
\(359\) −19.4399 10.0219i −1.02600 0.528938i −0.138796 0.990321i \(-0.544323\pi\)
−0.887201 + 0.461383i \(0.847354\pi\)
\(360\) 19.3437 18.4442i 1.01950 0.972093i
\(361\) 30.4042 + 12.1720i 1.60022 + 0.640631i
\(362\) −3.36310 + 9.71703i −0.176760 + 0.510716i
\(363\) −18.5093 11.8952i −0.971488 0.624337i
\(364\) 31.9088 5.21858i 1.67248 0.273528i
\(365\) −11.5440 + 3.38963i −0.604242 + 0.177421i
\(366\) −14.3583 + 20.1634i −0.750519 + 1.05396i
\(367\) −1.04010 + 1.80151i −0.0542930 + 0.0940383i −0.891895 0.452243i \(-0.850624\pi\)
0.837602 + 0.546282i \(0.183957\pi\)
\(368\) 73.3464 + 22.4026i 3.82345 + 1.16781i
\(369\) −1.20696 2.09052i −0.0628319 0.108828i
\(370\) 16.7356 + 36.6459i 0.870043 + 1.90513i
\(371\) −12.0152 5.20915i −0.623798 0.270446i
\(372\) −9.96940 + 11.5053i −0.516889 + 0.596522i
\(373\) −0.262910 + 5.51916i −0.0136130 + 0.285771i 0.981788 + 0.189978i \(0.0608417\pi\)
−0.995401 + 0.0957930i \(0.969461\pi\)
\(374\) 33.4752 6.45181i 1.73096 0.333615i
\(375\) −6.67983 2.67420i −0.344945 0.138095i
\(376\) −10.8704 44.8083i −0.560597 2.31081i
\(377\) −7.87196e−5 0 5.05900e-5i −4.05426e−6 0 2.60552e-6i
\(378\) 1.51657 + 7.12540i 0.0780041 + 0.366491i
\(379\) −7.87656 + 17.2473i −0.404592 + 0.885932i 0.592192 + 0.805797i \(0.298263\pi\)
−0.996784 + 0.0801354i \(0.974465\pi\)
\(380\) 108.329 10.3442i 5.55716 0.530644i
\(381\) −6.09991 4.79703i −0.312508 0.245759i
\(382\) −0.759914 15.9526i −0.0388806 0.816204i
\(383\) −7.91414 32.6225i −0.404394 1.66693i −0.701947 0.712229i \(-0.747686\pi\)
0.297553 0.954705i \(-0.403829\pi\)
\(384\) −6.77610 47.1288i −0.345791 2.40503i
\(385\) −35.2694 + 21.2813i −1.79750 + 1.08460i
\(386\) 38.1054 + 24.4888i 1.93951 + 1.24645i
\(387\) −6.52468 1.25753i −0.331668 0.0639238i
\(388\) −0.580751 + 2.39389i −0.0294832 + 0.121531i
\(389\) −4.91824 0.469635i −0.249365 0.0238115i −0.0303749 0.999539i \(-0.509670\pi\)
−0.218990 + 0.975727i \(0.570276\pi\)
\(390\) 8.16928 + 14.1496i 0.413668 + 0.716493i
\(391\) 7.40283 + 7.21334i 0.374377 + 0.364794i
\(392\) 65.0312 + 23.1633i 3.28457 + 1.16992i
\(393\) −5.46308 11.9625i −0.275576 0.603427i
\(394\) 43.4206 + 41.4014i 2.18750 + 2.08577i
\(395\) −3.94534 11.3993i −0.198511 0.573561i
\(396\) −28.5005 + 14.6930i −1.43220 + 0.738352i
\(397\) −3.59474 + 10.3863i −0.180415 + 0.521275i −0.998555 0.0537445i \(-0.982884\pi\)
0.818140 + 0.575020i \(0.195006\pi\)
\(398\) 10.3789 + 72.1866i 0.520245 + 3.61839i
\(399\) −8.39307 + 17.0824i −0.420179 + 0.855188i
\(400\) 31.5481 20.2748i 1.57741 1.01374i
\(401\) −4.64981 + 1.86150i −0.232200 + 0.0929590i −0.484845 0.874600i \(-0.661124\pi\)
0.252645 + 0.967559i \(0.418700\pi\)
\(402\) 17.3672 + 24.3888i 0.866198 + 1.21641i
\(403\) −3.46389 4.86435i −0.172549 0.242310i
\(404\) 57.1243 22.8691i 2.84204 1.13778i
\(405\) −2.27995 + 1.46524i −0.113292 + 0.0728083i
\(406\) −0.000310656 0 2.08175e-5i −1.54176e−5 0 1.03315e-6i
\(407\) −4.41367 30.6977i −0.218777 1.52163i
\(408\) 6.95169 20.0856i 0.344160 0.994384i
\(409\) 16.2114 8.35753i 0.801600 0.413254i −0.00819505 0.999966i \(-0.502609\pi\)
0.809795 + 0.586713i \(0.199578\pi\)
\(410\) −5.89171 17.0230i −0.290971 0.840705i
\(411\) 0.874326 + 0.833668i 0.0431273 + 0.0411218i
\(412\) 10.5578 + 23.1183i 0.520145 + 1.13896i
\(413\) 7.86593 + 6.55426i 0.387057 + 0.322514i
\(414\) −11.6710 6.17780i −0.573598 0.303622i
\(415\) 3.98233 + 6.89760i 0.195485 + 0.338590i
\(416\) 52.9794 + 5.05892i 2.59753 + 0.248034i
\(417\) −2.93037 + 12.0792i −0.143501 + 0.591519i
\(418\) −111.735 21.5351i −5.46511 1.05331i
\(419\) −21.5015 13.8182i −1.05042 0.675062i −0.102876 0.994694i \(-0.532804\pi\)
−0.947542 + 0.319632i \(0.896441\pi\)
\(420\) 0.772854 + 40.0155i 0.0377114 + 1.95255i
\(421\) 1.97879 + 13.7628i 0.0964403 + 0.670757i 0.979492 + 0.201482i \(0.0645757\pi\)
−0.883052 + 0.469275i \(0.844515\pi\)
\(422\) 4.33148 + 17.8546i 0.210853 + 0.869148i
\(423\) 0.222463 + 4.67007i 0.0108165 + 0.227067i
\(424\) −38.3704 30.1748i −1.86343 1.46542i
\(425\) 5.03135 0.480436i 0.244056 0.0233046i
\(426\) −9.69629 + 21.2319i −0.469787 + 1.02869i
\(427\) −4.95146 23.2637i −0.239618 1.12581i
\(428\) 10.1024 6.49239i 0.488316 0.313822i
\(429\) −2.96532 12.2232i −0.143167 0.590143i
\(430\) −46.0341 18.4293i −2.21996 0.888739i
\(431\) −29.6030 + 5.70552i −1.42593 + 0.274825i −0.843094 0.537766i \(-0.819268\pi\)
−0.582834 + 0.812591i \(0.698056\pi\)
\(432\) −0.760895 + 15.9731i −0.0366086 + 0.768508i
\(433\) −16.7621 + 19.3445i −0.805536 + 0.929638i −0.998671 0.0515340i \(-0.983589\pi\)
0.193135 + 0.981172i \(0.438134\pi\)
\(434\) −2.27033 19.7395i −0.108979 0.947526i
\(435\) −4.81176e−5 0 0.000105363i −2.30706e−6 0 5.05176e-6i
\(436\) −36.0732 62.4806i −1.72759 2.99228i
\(437\) −13.9909 31.5358i −0.669277 1.50856i
\(438\) 6.11177 10.5859i 0.292032 0.505814i
\(439\) −2.70834 + 3.80333i −0.129262 + 0.181523i −0.874135 0.485683i \(-0.838571\pi\)
0.744873 + 0.667207i \(0.232510\pi\)
\(440\) −147.324 + 43.2581i −7.02338 + 2.06225i
\(441\) −6.03051 3.55428i −0.287167 0.169251i
\(442\) 10.9303 + 7.02449i 0.519902 + 0.334121i
\(443\) −5.38000 + 15.5445i −0.255612 + 0.738541i 0.742060 + 0.670334i \(0.233849\pi\)
−0.997671 + 0.0682074i \(0.978272\pi\)
\(444\) −27.9743 11.1992i −1.32760 0.531492i
\(445\) 3.06553 2.92298i 0.145320 0.138563i
\(446\) 36.9455 + 19.0467i 1.74942 + 0.901889i
\(447\) −1.96306 + 13.6534i −0.0928495 + 0.645782i
\(448\) 76.3407 + 52.1700i 3.60676 + 2.46480i
\(449\) 0.122964 0.269254i 0.00580305 0.0127069i −0.906708 0.421758i \(-0.861413\pi\)
0.912511 + 0.409051i \(0.134140\pi\)
\(450\) −5.99467 + 2.39990i −0.282591 + 0.113133i
\(451\) 0.659836 + 13.8517i 0.0310704 + 0.652249i
\(452\) −52.3747 + 49.9391i −2.46350 + 2.34894i
\(453\) 5.01210 3.94156i 0.235489 0.185191i
\(454\) −0.752160 0.868039i −0.0353006 0.0407391i
\(455\) −15.3254 3.40596i −0.718468 0.159674i
\(456\) −46.4585 + 53.6160i −2.17562 + 2.51080i
\(457\) 1.09773 + 1.04669i 0.0513497 + 0.0489619i 0.715320 0.698798i \(-0.246281\pi\)
−0.663970 + 0.747759i \(0.731130\pi\)
\(458\) −34.8048 3.32346i −1.62632 0.155295i
\(459\) −1.07761 + 1.86647i −0.0502985 + 0.0871195i
\(460\) −56.5370 45.4613i −2.63605 2.11964i
\(461\) 24.3194 1.13267 0.566333 0.824177i \(-0.308362\pi\)
0.566333 + 0.824177i \(0.308362\pi\)
\(462\) 11.0130 40.3755i 0.512373 1.87844i
\(463\) 25.4654 7.47733i 1.18348 0.347501i 0.369965 0.929046i \(-0.379370\pi\)
0.813514 + 0.581545i \(0.197552\pi\)
\(464\) −0.000671096 0 0.000129343i −3.11549e−5 0 6.00461e-6i
\(465\) 6.57023 3.38719i 0.304687 0.157077i
\(466\) 25.5731 4.92881i 1.18465 0.228323i
\(467\) −20.0825 + 15.7930i −0.929305 + 0.730814i −0.963249 0.268610i \(-0.913436\pi\)
0.0339437 + 0.999424i \(0.489193\pi\)
\(468\) −11.7256 3.44295i −0.542017 0.159151i
\(469\) −28.5501 3.54363i −1.31832 0.163630i
\(470\) −4.96531 + 34.5345i −0.229033 + 1.59296i
\(471\) 13.0371 1.24489i 0.600716 0.0573614i
\(472\) 22.1374 + 31.0877i 1.01896 + 1.43093i
\(473\) 30.0056 + 23.5966i 1.37966 + 1.08498i
\(474\) 10.8930 + 5.61575i 0.500334 + 0.257940i
\(475\) −16.1868 4.75288i −0.742702 0.218077i
\(476\) 15.1277 + 28.0024i 0.693377 + 1.28349i
\(477\) 3.24140 + 3.74077i 0.148413 + 0.171278i
\(478\) 1.46709 30.7980i 0.0671031 1.40867i
\(479\) 9.37332 + 27.0824i 0.428278 + 1.23743i 0.928435 + 0.371494i \(0.121154\pi\)
−0.500157 + 0.865934i \(0.666725\pi\)
\(480\) −15.5314 + 64.0215i −0.708910 + 2.92217i
\(481\) 6.85619 9.62818i 0.312615 0.439007i
\(482\) −78.2336 −3.56345
\(483\) 11.9551 4.25150i 0.543976 0.193450i
\(484\) 122.807 5.58215
\(485\) 0.693796 0.974300i 0.0315036 0.0442407i
\(486\) 0.649156 2.67586i 0.0294463 0.121379i
\(487\) 13.1878 + 38.1037i 0.597597 + 1.72664i 0.683120 + 0.730306i \(0.260622\pi\)
−0.0855236 + 0.996336i \(0.527256\pi\)
\(488\) 4.21846 88.5563i 0.190961 4.00876i
\(489\) −4.27016 4.92802i −0.193103 0.222853i
\(490\) −39.1694 34.5610i −1.76949 1.56131i
\(491\) 11.3298 + 3.32672i 0.511305 + 0.150133i 0.527200 0.849741i \(-0.323242\pi\)
−0.0158956 + 0.999874i \(0.505060\pi\)
\(492\) 11.9758 + 6.17396i 0.539911 + 0.278344i
\(493\) −7.24045e−5 0 5.69395e-5i −3.26093e−6 0 2.56443e-6i
\(494\) −25.1560 35.3266i −1.13182 1.58942i
\(495\) 15.4988 1.47996i 0.696621 0.0665192i
\(496\) 6.20715 43.1717i 0.278709 1.93847i
\(497\) −8.73618 20.6566i −0.391871 0.926577i
\(498\) −7.76410 2.27974i −0.347918 0.102158i
\(499\) 19.2432 15.1330i 0.861442 0.677445i −0.0863742 0.996263i \(-0.527528\pi\)
0.947816 + 0.318817i \(0.103286\pi\)
\(500\) 39.4353 7.60054i 1.76360 0.339906i
\(501\) −11.2709 + 5.81054i −0.503546 + 0.259596i
\(502\) 35.4354 + 6.82961i 1.58156 + 0.304820i
\(503\) 0.582741 0.171108i 0.0259831 0.00762933i −0.268715 0.963220i \(-0.586599\pi\)
0.294698 + 0.955590i \(0.404781\pi\)
\(504\) −18.3669 18.5326i −0.818128 0.825506i
\(505\) −29.8772 −1.32952
\(506\) 43.3312 + 62.2673i 1.92631 + 2.76812i
\(507\) −4.10317 + 7.10690i −0.182228 + 0.315629i
\(508\) 43.1183 + 4.11730i 1.91306 + 0.182675i
\(509\) −28.2460 26.9325i −1.25198 1.19376i −0.972317 0.233665i \(-0.924928\pi\)
−0.279665 0.960098i \(-0.590223\pi\)
\(510\) −10.5322 + 12.1548i −0.466375 + 0.538226i
\(511\) 3.52604 + 11.2036i 0.155983 + 0.495616i
\(512\) 48.0029 + 55.3983i 2.12145 + 2.44828i
\(513\) 5.65467 4.44688i 0.249660 0.196335i
\(514\) −53.0764 + 50.6082i −2.34110 + 2.23223i
\(515\) −0.587181 12.3264i −0.0258743 0.543168i
\(516\) 34.4318 13.7844i 1.51578 0.606825i
\(517\) 11.1575 24.4316i 0.490708 1.07450i
\(518\) 35.4524 17.0255i 1.55769 0.748057i
\(519\) −3.06701 + 21.3315i −0.134627 + 0.936349i
\(520\) −52.0134 26.8148i −2.28094 1.17590i
\(521\) 3.43153 3.27196i 0.150338 0.143347i −0.611178 0.791493i \(-0.709304\pi\)
0.761516 + 0.648146i \(0.224455\pi\)
\(522\) 0.000109251 0 4.37373e-5i 4.78177e−6 0 1.91433e-6i
\(523\) −7.58962 + 21.9288i −0.331871 + 0.958878i 0.648414 + 0.761288i \(0.275433\pi\)
−0.980285 + 0.197590i \(0.936689\pi\)
\(524\) 61.7508 + 39.6849i 2.69760 + 1.73364i
\(525\) 2.19435 5.80360i 0.0957694 0.253290i
\(526\) −63.0647 + 18.5175i −2.74975 + 0.807400i
\(527\) 3.40974 4.78831i 0.148531 0.208582i
\(528\) 45.9328 79.5580i 1.99897 3.46232i
\(529\) −7.99181 + 21.5669i −0.347470 + 0.937691i
\(530\) 18.4686 + 31.9885i 0.802224 + 1.38949i
\(531\) −1.60760 3.52016i −0.0697639 0.152762i
\(532\) −12.1385 105.539i −0.526269 4.57568i
\(533\) −3.46103 + 3.99424i −0.149914 + 0.173010i
\(534\) −0.204763 + 4.29850i −0.00886094 + 0.186014i
\(535\) −5.72552 + 1.10350i −0.247536 + 0.0477086i
\(536\) −99.5542 39.8555i −4.30009 1.72149i
\(537\) −0.571523 2.35585i −0.0246630 0.101662i
\(538\) −33.1363 + 21.2954i −1.42861 + 0.918111i
\(539\) 21.4363 + 34.0233i 0.923329 + 1.46549i
\(540\) 6.28408 13.7602i 0.270424 0.592146i
\(541\) 29.3248 2.80018i 1.26077 0.120389i 0.556818 0.830635i \(-0.312022\pi\)
0.703954 + 0.710246i \(0.251416\pi\)
\(542\) 35.6807 + 28.0596i 1.53262 + 1.20526i
\(543\) 0.177690 + 3.73016i 0.00762539 + 0.160077i
\(544\) 12.3510 + 50.9117i 0.529547 + 2.18282i
\(545\) 4.98544 + 34.6745i 0.213553 + 1.48529i
\(546\) 13.6566 8.24030i 0.584449 0.352652i
\(547\) −32.8182 21.0909i −1.40320 0.901784i −0.403291 0.915072i \(-0.632134\pi\)
−0.999912 + 0.0132879i \(0.995770\pi\)
\(548\) −6.62117 1.27613i −0.282842 0.0545134i
\(549\) −2.11943 + 8.73641i −0.0904550 + 0.372861i
\(550\) 36.9271 + 3.52611i 1.57458 + 0.150354i
\(551\) 0.000153726 0 0.000266262i 6.54896e−6 0 1.13431e-5i
\(552\) 47.1278 3.98533i 2.00589 0.169627i
\(553\) −11.0518 + 4.06571i −0.469972 + 0.172891i
\(554\) −13.7550 30.1193i −0.584396 1.27965i
\(555\) 10.5891 + 10.0966i 0.449480 + 0.428579i
\(556\) −22.6910 65.5612i −0.962311 2.78042i
\(557\) 22.4083 11.5523i 0.949471 0.489487i 0.0873441 0.996178i \(-0.472162\pi\)
0.862127 + 0.506692i \(0.169132\pi\)
\(558\) −2.45628 + 7.09697i −0.103983 + 0.300439i
\(559\) 2.07044 + 14.4002i 0.0875704 + 0.609065i
\(560\) −63.8438 95.2473i −2.69789 4.02493i
\(561\) 10.4157 6.69377i 0.439752 0.282611i
\(562\) −6.30159 + 2.52278i −0.265817 + 0.106417i
\(563\) −3.37904 4.74520i −0.142410 0.199986i 0.737210 0.675663i \(-0.236143\pi\)
−0.879620 + 0.475677i \(0.842203\pi\)
\(564\) −15.1372 21.2573i −0.637393 0.895093i
\(565\) 32.6213 13.0596i 1.37239 0.549421i
\(566\) −13.9666 + 8.97580i −0.587061 + 0.377281i
\(567\) 1.47311 + 2.19771i 0.0618650 + 0.0922952i
\(568\) −11.8974 82.7485i −0.499205 3.47205i
\(569\) 4.98074 14.3909i 0.208803 0.603297i −0.791162 0.611606i \(-0.790524\pi\)
0.999965 + 0.00830894i \(0.00264485\pi\)
\(570\) 47.7153 24.5989i 1.99857 1.03034i
\(571\) −10.6301 30.7136i −0.444856 1.28533i −0.915256 0.402873i \(-0.868012\pi\)
0.470400 0.882453i \(-0.344110\pi\)
\(572\) 50.8093 + 48.4466i 2.12445 + 2.02565i
\(573\) −2.40948 5.27603i −0.100658 0.220409i
\(574\) −16.5041 + 6.07147i −0.688868 + 0.253418i
\(575\) 5.51752 + 9.80036i 0.230096 + 0.408703i
\(576\) −17.4741 30.2660i −0.728087 1.26108i
\(577\) −36.7884 3.51286i −1.53152 0.146242i −0.705023 0.709184i \(-0.749063\pi\)
−0.826496 + 0.562942i \(0.809669\pi\)
\(578\) 8.02035 33.0603i 0.333602 1.37513i
\(579\) 16.1532 + 3.11327i 0.671304 + 0.129383i
\(580\) 0.000543887 0 0.000349535i 2.25837e−5 0 1.45137e-5i
\(581\) 6.65728 4.01695i 0.276191 0.166651i
\(582\) 0.172939 + 1.20282i 0.00716855 + 0.0498584i
\(583\) −6.70382 27.6335i −0.277644 1.14446i
\(584\) 2.08314 + 43.7305i 0.0862010 + 1.80958i
\(585\) 4.66428 + 3.66803i 0.192844 + 0.151654i
\(586\) 28.0517 2.67861i 1.15880 0.110652i
\(587\) −1.38201 + 3.02618i −0.0570416 + 0.124904i −0.936006 0.351983i \(-0.885507\pi\)
0.878965 + 0.476887i \(0.158235\pi\)
\(588\) 39.0422 1.50868i 1.61007 0.0622168i
\(589\) −16.5060 + 10.6078i −0.680118 + 0.437086i
\(590\) −6.80839 28.0646i −0.280297 1.15540i
\(591\) 20.2281 + 8.09812i 0.832074 + 0.333112i
\(592\) 84.7699 16.3381i 3.48402 0.671490i
\(593\) 0.991699 20.8183i 0.0407242 0.854906i −0.882422 0.470458i \(-0.844089\pi\)
0.923147 0.384448i \(-0.125608\pi\)
\(594\) −10.3586 + 11.9544i −0.425018 + 0.490497i
\(595\) −1.76579 15.3527i −0.0723902 0.629401i
\(596\) −31.9835 70.0340i −1.31009 2.86871i
\(597\) 13.2431 + 22.9377i 0.542002 + 0.938776i
\(598\) −4.42447 + 28.5715i −0.180930 + 1.16837i
\(599\) 13.0844 22.6628i 0.534614 0.925978i −0.464568 0.885537i \(-0.653791\pi\)
0.999182 0.0404406i \(-0.0128762\pi\)
\(600\) 13.4152 18.8389i 0.547671 0.769097i
\(601\) 16.1741 4.74914i 0.659755 0.193722i 0.0653190 0.997864i \(-0.479194\pi\)
0.594436 + 0.804143i \(0.297375\pi\)
\(602\) −17.1200 + 45.2787i −0.697758 + 1.84542i
\(603\) 9.14756 + 5.87878i 0.372518 + 0.239403i
\(604\) −11.6404 + 33.6326i −0.473639 + 1.36849i
\(605\) −55.3583 22.1621i −2.25064 0.901019i
\(606\) 21.9685 20.9469i 0.892409 0.850910i
\(607\) −10.6034 5.46645i −0.430380 0.221876i 0.229405 0.973331i \(-0.426322\pi\)
−0.659784 + 0.751455i \(0.729352\pi\)
\(608\) 24.8857 173.084i 1.00925 7.01948i
\(609\) −0.000101932 0 4.89510e-5i −4.13047e−6 0 1.98360e-6i
\(610\) −27.8685 + 61.0235i −1.12836 + 2.47077i
\(611\) 9.50319 3.80450i 0.384458 0.153914i
\(612\) −0.572392 12.0160i −0.0231376 0.485718i
\(613\) −26.5314 + 25.2976i −1.07159 + 1.02176i −0.0718891 + 0.997413i \(0.522903\pi\)
−0.999704 + 0.0243489i \(0.992249\pi\)
\(614\) −5.72587 + 4.50287i −0.231077 + 0.181721i
\(615\) −4.28422 4.94425i −0.172756 0.199371i
\(616\) 44.9990 + 142.979i 1.81306 + 5.76078i
\(617\) 23.4026 27.0080i 0.942152 1.08730i −0.0539013 0.998546i \(-0.517166\pi\)
0.996053 0.0887553i \(-0.0282889\pi\)
\(618\) 9.07383 + 8.65188i 0.365003 + 0.348030i
\(619\) 43.4723 + 4.15111i 1.74730 + 0.166847i 0.919215 0.393755i \(-0.128824\pi\)
0.828085 + 0.560602i \(0.189430\pi\)
\(620\) −20.6295 + 35.7314i −0.828502 + 1.43501i
\(621\) −4.76890 0.507578i −0.191369 0.0203684i
\(622\) 22.1590 0.888495
\(623\) −2.91074 2.93699i −0.116616 0.117668i
\(624\) 33.5937 9.86400i 1.34482 0.394876i
\(625\) −30.6617 5.90956i −1.22647 0.236382i
\(626\) −59.1010 + 30.4687i −2.36215 + 1.21777i
\(627\) −40.5795 + 7.82105i −1.62059 + 0.312343i
\(628\) −57.4597 + 45.1868i −2.29289 + 1.80315i
\(629\) 11.1638 + 3.27799i 0.445130 + 0.130702i
\(630\) 7.69058 + 18.1843i 0.306400 + 0.724481i
\(631\) −2.16788 + 15.0779i −0.0863018 + 0.600242i 0.900074 + 0.435737i \(0.143512\pi\)
−0.986376 + 0.164506i \(0.947397\pi\)
\(632\) −43.6955 + 4.17241i −1.73811 + 0.165970i
\(633\) 3.87041 + 5.43524i 0.153835 + 0.216031i
\(634\) 8.35393 + 6.56960i 0.331777 + 0.260912i
\(635\) −18.6936 9.63721i −0.741832 0.382441i
\(636\) −26.5085 7.78360i −1.05113 0.308640i
\(637\) −3.03546 + 15.0225i −0.120269 + 0.595213i
\(638\) −0.000442714 0 0.000510919i −1.75272e−5 0 2.02275e-5i
\(639\) −0.403352 + 8.46740i −0.0159564 + 0.334965i
\(640\) −42.2053 121.944i −1.66831 4.82027i
\(641\) 4.23221 17.4454i 0.167162 0.689052i −0.825110 0.564972i \(-0.808887\pi\)
0.992272 0.124080i \(-0.0395979\pi\)
\(642\) 3.43627 4.82556i 0.135619 0.190450i
\(643\) 30.9538 1.22070 0.610350 0.792132i \(-0.291029\pi\)
0.610350 + 0.792132i \(0.291029\pi\)
\(644\) −43.3064 + 56.0396i −1.70651 + 2.20827i
\(645\) −18.0086 −0.709086
\(646\) 24.7627 34.7744i 0.974277 1.36818i
\(647\) −9.80610 + 40.4213i −0.385517 + 1.58912i 0.366784 + 0.930306i \(0.380459\pi\)
−0.752302 + 0.658819i \(0.771057\pi\)
\(648\) 3.22551 + 9.31951i 0.126710 + 0.366105i
\(649\) −1.05781 + 22.2062i −0.0415228 + 0.871670i
\(650\) 9.25822 + 10.6846i 0.363137 + 0.419083i
\(651\) −3.42989 6.34897i −0.134428 0.248836i
\(652\) 34.9218 + 10.2540i 1.36765 + 0.401577i
\(653\) −24.7880 12.7791i −0.970028 0.500084i −0.101021 0.994884i \(-0.532211\pi\)
−0.869007 + 0.494800i \(0.835241\pi\)
\(654\) −27.9761 22.0006i −1.09395 0.860293i
\(655\) −20.6740 29.0326i −0.807802 1.13440i
\(656\) −38.4269 + 3.66932i −1.50032 + 0.143263i
\(657\) 0.631781 4.39413i 0.0246481 0.171431i
\(658\) 33.8007 + 4.19534i 1.31769 + 0.163551i
\(659\) −30.7508 9.02925i −1.19788 0.351730i −0.378839 0.925463i \(-0.623677\pi\)
−0.819042 + 0.573733i \(0.805495\pi\)
\(660\) −68.3097 + 53.7193i −2.65895 + 2.09102i
\(661\) 11.1920 2.15709i 0.435320 0.0839011i 0.0331169 0.999451i \(-0.489457\pi\)
0.402203 + 0.915550i \(0.368245\pi\)
\(662\) 65.9378 33.9933i 2.56275 1.32119i
\(663\) 4.63345 + 0.893025i 0.179948 + 0.0346822i
\(664\) 27.8081 8.16518i 1.07916 0.316871i
\(665\) −13.5741 + 49.7646i −0.526380 + 1.92979i
\(666\) −14.8648 −0.576000
\(667\) 5.04786e−5 0 0.000198655i 1.95454e−6 0 7.69195e-6i
\(668\) 35.3889 61.2953i 1.36924 2.37159i
\(669\) 15.0276 + 1.43496i 0.580999 + 0.0554786i
\(670\) 58.7270 + 55.9961i 2.26882 + 2.16332i
\(671\) 33.8197 39.0301i 1.30560 1.50674i
\(672\) 62.7804 + 13.9525i 2.42181 + 0.538228i
\(673\) −1.96321 2.26566i −0.0756761 0.0873349i 0.716649 0.697434i \(-0.245675\pi\)
−0.792325 + 0.610099i \(0.791130\pi\)
\(674\) 16.0100 12.5904i 0.616682 0.484964i
\(675\) −1.69724 + 1.61831i −0.0653268 + 0.0622890i
\(676\) −2.17948 45.7528i −0.0838260 1.75972i
\(677\) −12.5180 + 5.01143i −0.481104 + 0.192605i −0.599521 0.800359i \(-0.704642\pi\)
0.118417 + 0.992964i \(0.462218\pi\)
\(678\) −14.8301 + 32.4735i −0.569548 + 1.24714i
\(679\) −0.964037 0.658807i −0.0369963 0.0252827i
\(680\) 8.19788 57.0175i 0.314374 2.18652i
\(681\) −0.370768 0.191144i −0.0142078 0.00732465i
\(682\) 31.2241 29.7721i 1.19563 1.14003i
\(683\) 42.0009 + 16.8146i 1.60712 + 0.643394i 0.989689 0.143232i \(-0.0457495\pi\)
0.617430 + 0.786626i \(0.288174\pi\)
\(684\) −13.1327 + 37.9445i −0.502141 + 1.45084i
\(685\) 2.75436 + 1.77012i 0.105239 + 0.0676328i
\(686\) −32.9946 + 38.8826i −1.25974 + 1.48454i
\(687\) −12.1835 + 3.57739i −0.464829 + 0.136486i
\(688\) −61.6358 + 86.5553i −2.34984 + 3.29989i
\(689\) 5.41860 9.38528i 0.206432 0.357551i
\(690\) −34.2276 10.4543i −1.30302 0.397989i
\(691\) 18.4990 + 32.0412i 0.703735 + 1.21890i 0.967146 + 0.254221i \(0.0818190\pi\)
−0.263411 + 0.964684i \(0.584848\pi\)
\(692\) −49.9698 109.419i −1.89957 4.15947i
\(693\) −1.73667 15.0996i −0.0659708 0.573587i
\(694\) 9.33371 10.7717i 0.354303 0.408887i
\(695\) −1.60286 + 33.6482i −0.0608000 + 1.27635i
\(696\) −0.000413869 0 7.97667e-5i −1.56877e−5 0 3.02355e-6i
\(697\) −4.82986 1.93358i −0.182944 0.0732397i
\(698\) −0.686833 2.83116i −0.0259970 0.107161i
\(699\) 7.95700 5.11365i 0.300961 0.193416i
\(700\) 7.20953 + 33.8729i 0.272495 + 1.28028i
\(701\) 8.17144 17.8929i 0.308631 0.675807i −0.690227 0.723593i \(-0.742489\pi\)
0.998858 + 0.0477858i \(0.0152165\pi\)
\(702\) −6.00128 + 0.573052i −0.226504 + 0.0216285i
\(703\) −30.5272 24.0068i −1.15135 0.905435i
\(704\) 9.55294 + 200.541i 0.360040 + 7.55817i
\(705\) 2.98733 + 12.3139i 0.112509 + 0.463770i
\(706\) −4.45771 31.0041i −0.167768 1.16685i
\(707\) 0.563220 + 29.1614i 0.0211821 + 1.09673i
\(708\) 18.1712 + 11.6779i 0.682915 + 0.438883i
\(709\) −8.78834 1.69381i −0.330053 0.0636125i 0.0215328 0.999768i \(-0.493145\pi\)
−0.351586 + 0.936156i \(0.614357\pi\)
\(710\) −14.9139 + 61.4759i −0.559708 + 2.30715i
\(711\) 4.43073 + 0.423084i 0.166166 + 0.0158669i
\(712\) −7.70652 13.3481i −0.288814 0.500241i
\(713\) 12.8165 + 2.61453i 0.479982 + 0.0979149i
\(714\) 12.0622 + 10.0508i 0.451416 + 0.376141i
\(715\) −14.1607 31.0077i −0.529581 1.15962i
\(716\) 9.79276 + 9.33738i 0.365973 + 0.348954i
\(717\) −3.66245 10.5819i −0.136777 0.395190i
\(718\) 53.5272 27.5952i 1.99762 1.02984i
\(719\) 12.3128 35.5756i 0.459191 1.32674i −0.443431 0.896309i \(-0.646239\pi\)
0.902621 0.430436i \(-0.141640\pi\)
\(720\) 6.16783 + 42.8982i 0.229861 + 1.59872i
\(721\) −12.0201 + 0.805481i −0.447650 + 0.0299977i
\(722\) −75.8614 + 48.7532i −2.82327 + 1.81440i
\(723\) −26.3774 + 10.5599i −0.980988 + 0.392728i
\(724\) −12.0907 16.9790i −0.449347 0.631020i
\(725\) −5.81376e−5 0 8.16428e-5i −2.15918e−6 0 3.03214e-6i
\(726\) 56.2425 22.5161i 2.08736 0.835651i
\(727\) −38.0730 + 24.4681i −1.41205 + 0.907470i −0.999993 0.00368748i \(-0.998826\pi\)
−0.412058 + 0.911158i \(0.635190\pi\)
\(728\) −25.1918 + 51.2727i −0.933671 + 1.90029i
\(729\) −0.142315 0.989821i −0.00527092 0.0366601i
\(730\) 10.8351 31.3061i 0.401026 1.15869i
\(731\) −12.7289 + 6.56222i −0.470797 + 0.242713i
\(732\) −16.4115 47.4180i −0.606588 1.75262i
\(733\) −12.6164 12.0297i −0.465996 0.444326i 0.420341 0.907366i \(-0.361910\pi\)
−0.886338 + 0.463040i \(0.846759\pi\)
\(734\) −2.37942 5.21019i −0.0878258 0.192312i
\(735\) −17.8715 6.36559i −0.659200 0.234798i
\(736\) −92.4102 + 71.0651i −3.40628 + 2.61950i
\(737\) −31.2334 54.0978i −1.15050 1.99272i
\(738\) 6.61658 + 0.631806i 0.243560 + 0.0232571i
\(739\) −9.04818 + 37.2971i −0.332843 + 1.37200i 0.521928 + 0.852990i \(0.325213\pi\)
−0.854770 + 0.519006i \(0.826302\pi\)
\(740\) −80.1897 15.4553i −2.94783 0.568148i
\(741\) −13.2500 8.51526i −0.486751 0.312816i
\(742\) 30.8740 18.6291i 1.13342 0.683898i
\(743\) 4.54567 + 31.6158i 0.166764 + 1.15987i 0.885517 + 0.464607i \(0.153804\pi\)
−0.718753 + 0.695266i \(0.755287\pi\)
\(744\) −6.34145 26.1398i −0.232489 0.958332i
\(745\) 1.77879 + 37.3414i 0.0651698 + 1.36808i
\(746\) −11.9591 9.40473i −0.437853 0.344331i
\(747\) −2.92548 + 0.279350i −0.107038 + 0.0102209i
\(748\) −28.7081 + 62.8620i −1.04967 + 2.29846i
\(749\) 1.18500 + 5.56755i 0.0432989 + 0.203434i
\(750\) 16.6668 10.7111i 0.608587 0.391115i
\(751\) 0.0534818 + 0.220455i 0.00195158 + 0.00804451i 0.972779 0.231735i \(-0.0744401\pi\)
−0.970827 + 0.239779i \(0.922925\pi\)
\(752\) 69.4095 + 27.7874i 2.53110 + 1.01330i
\(753\) 12.8693 2.48036i 0.468985 0.0903894i
\(754\) 1.22597e−5 0 0.000257362i 4.46471e−7 0 9.37258e-6i
\(755\) 11.3166 13.0601i 0.411853 0.475304i
\(756\) −13.5490 5.87414i −0.492773 0.213640i
\(757\) 18.6474 + 40.8321i 0.677751 + 1.48407i 0.865008 + 0.501757i \(0.167313\pi\)
−0.187257 + 0.982311i \(0.559960\pi\)
\(758\) −26.1039 45.2133i −0.948136 1.64222i
\(759\) 23.0145 + 15.1454i 0.835372 + 0.549742i
\(760\) −96.1359 + 166.512i −3.48722 + 6.04004i
\(761\) 30.5563 42.9104i 1.10767 1.55550i 0.311678 0.950188i \(-0.399109\pi\)
0.795988 0.605312i \(-0.206952\pi\)
\(762\) 20.5019 6.01991i 0.742707 0.218078i
\(763\) 33.7498 5.51965i 1.22182 0.199825i
\(764\) 27.2351 + 17.5029i 0.985331 + 0.633234i
\(765\) −1.91042 + 5.51979i −0.0690713 + 0.199569i
\(766\) 85.8098 + 34.3531i 3.10043 + 1.24123i
\(767\) −6.13209 + 5.84694i −0.221417 + 0.211121i
\(768\) 54.4021 + 28.0462i 1.96307 + 1.01203i
\(769\) 3.03833 21.1320i 0.109565 0.762041i −0.858766 0.512369i \(-0.828768\pi\)
0.968330 0.249672i \(-0.0803228\pi\)
\(770\) 8.59920 113.096i 0.309894 4.07571i
\(771\) −11.0643 + 24.2274i −0.398470 + 0.872528i
\(772\) −85.2431 + 34.1262i −3.06796 + 1.22823i
\(773\)