Properties

Label 175.2.x.a.103.17
Level $175$
Weight $2$
Character 175.103
Analytic conductor $1.397$
Analytic rank $0$
Dimension $288$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 175 = 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 175.x (of order \(60\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.39738203537\)
Analytic rank: \(0\)
Dimension: \(288\)
Relative dimension: \(18\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 103.17
Character \(\chi\) \(=\) 175.103
Dual form 175.2.x.a.17.17

$q$-expansion

\(f(q)\) \(=\) \(q+(2.20567 + 0.115594i) q^{2} +(-1.65814 - 2.04764i) q^{3} +(2.86259 + 0.300870i) q^{4} +(0.294959 - 2.21653i) q^{5} +(-3.42063 - 4.70809i) q^{6} +(-1.02854 + 2.43764i) q^{7} +(1.91615 + 0.303488i) q^{8} +(-0.819640 + 3.85610i) q^{9} +O(q^{10})\) \(q+(2.20567 + 0.115594i) q^{2} +(-1.65814 - 2.04764i) q^{3} +(2.86259 + 0.300870i) q^{4} +(0.294959 - 2.21653i) q^{5} +(-3.42063 - 4.70809i) q^{6} +(-1.02854 + 2.43764i) q^{7} +(1.91615 + 0.303488i) q^{8} +(-0.819640 + 3.85610i) q^{9} +(0.906801 - 4.85484i) q^{10} +(4.32300 - 0.918881i) q^{11} +(-4.13051 - 6.36043i) q^{12} +(1.80815 + 0.921296i) q^{13} +(-2.55041 + 5.25775i) q^{14} +(-5.02773 + 3.07135i) q^{15} +(-1.43961 - 0.305998i) q^{16} +(-0.163951 - 0.427108i) q^{17} +(-2.25360 + 8.41056i) q^{18} +(0.752481 + 7.15938i) q^{19} +(1.51123 - 6.25627i) q^{20} +(6.69688 - 1.93587i) q^{21} +(9.64134 - 1.52704i) q^{22} +(-0.214582 + 4.09447i) q^{23} +(-2.55581 - 4.42679i) q^{24} +(-4.82600 - 1.30757i) q^{25} +(3.88168 + 2.24109i) q^{26} +(2.21206 - 1.12710i) q^{27} +(-3.67771 + 6.66851i) q^{28} +(4.82859 - 6.64598i) q^{29} +(-11.4446 + 6.19322i) q^{30} +(0.349313 - 0.784569i) q^{31} +(-6.88779 - 1.84558i) q^{32} +(-9.04968 - 7.32829i) q^{33} +(-0.312252 - 0.961013i) q^{34} +(5.09972 + 2.99880i) q^{35} +(-3.50648 + 10.7918i) q^{36} +(-5.20221 + 3.37835i) q^{37} +(0.832143 + 15.8782i) q^{38} +(-1.11168 - 5.23006i) q^{39} +(1.23787 - 4.15768i) q^{40} +(0.382586 - 0.124310i) q^{41} +(14.9949 - 3.49579i) q^{42} +(-1.61939 - 1.61939i) q^{43} +(12.6514 - 1.32972i) q^{44} +(8.30540 + 2.95415i) q^{45} +(-0.946596 + 9.00626i) q^{46} +(-8.18475 - 3.14183i) q^{47} +(1.76050 + 3.45518i) q^{48} +(-4.88419 - 5.01444i) q^{49} +(-10.4934 - 3.44193i) q^{50} +(-0.602707 + 1.04392i) q^{51} +(4.89879 + 3.18131i) q^{52} +(0.148119 - 0.119944i) q^{53} +(5.00937 - 2.23031i) q^{54} +(-0.761621 - 9.85308i) q^{55} +(-2.71063 + 4.35873i) q^{56} +(13.4121 - 13.4121i) q^{57} +(11.4185 - 14.1007i) q^{58} +(-2.29736 + 2.55148i) q^{59} +(-15.3164 + 7.27933i) q^{60} +(-0.888527 + 0.800034i) q^{61} +(0.861162 - 1.69013i) q^{62} +(-8.55676 - 5.96416i) q^{63} +(-12.1794 - 3.95733i) q^{64} +(2.57541 - 3.73606i) q^{65} +(-19.1135 - 17.2099i) q^{66} +(4.00821 - 1.53861i) q^{67} +(-0.340822 - 1.27196i) q^{68} +(8.73979 - 6.34983i) q^{69} +(10.9017 + 7.20388i) q^{70} +(0.544222 + 0.395400i) q^{71} +(-2.74083 + 7.14010i) q^{72} +(9.23683 - 14.2235i) q^{73} +(-11.8649 + 6.85020i) q^{74} +(5.32477 + 12.0500i) q^{75} +20.7208i q^{76} +(-2.20649 + 11.4830i) q^{77} +(-1.84745 - 11.6643i) q^{78} +(5.67847 + 12.7540i) q^{79} +(-1.10288 + 3.10068i) q^{80} +(4.82847 + 2.14977i) q^{81} +(0.858230 - 0.229962i) q^{82} +(-0.785870 + 4.96179i) q^{83} +(19.7529 - 3.52672i) q^{84} +(-0.995056 + 0.237424i) q^{85} +(-3.38465 - 3.75903i) q^{86} +(-21.6150 + 1.13280i) q^{87} +(8.56236 - 0.448734i) q^{88} +(0.0463981 + 0.0515303i) q^{89} +(17.9775 + 7.47594i) q^{90} +(-4.10555 + 3.46002i) q^{91} +(-1.84616 + 11.6562i) q^{92} +(-2.18572 + 0.585663i) q^{93} +(-17.6897 - 7.87597i) q^{94} +(16.0909 + 0.443826i) q^{95} +(7.64186 + 17.1639i) q^{96} +(0.650222 + 4.10534i) q^{97} +(-10.1933 - 11.6248i) q^{98} +17.4231i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 288q - 8q^{2} - 24q^{3} - 10q^{4} - 30q^{5} - 10q^{7} - 36q^{8} - 10q^{9} + O(q^{10}) \) \( 288q - 8q^{2} - 24q^{3} - 10q^{4} - 30q^{5} - 10q^{7} - 36q^{8} - 10q^{9} - 36q^{10} - 6q^{11} - 36q^{12} - 20q^{14} - 28q^{15} - 30q^{16} - 42q^{17} - 14q^{18} - 30q^{19} - 12q^{21} + 32q^{22} - 40q^{23} + 2q^{25} - 48q^{26} + 22q^{28} - 58q^{30} - 18q^{31} + 8q^{32} - 30q^{33} - 2q^{35} + 40q^{36} - 10q^{37} + 72q^{38} + 30q^{39} - 48q^{40} + 6q^{42} - 108q^{43} - 10q^{44} + 186q^{45} - 6q^{46} - 54q^{47} - 248q^{50} - 16q^{51} + 216q^{52} + 50q^{53} - 30q^{54} + 4q^{56} - 216q^{57} - 4q^{58} + 90q^{59} + 96q^{60} - 18q^{61} - 66q^{63} - 100q^{64} + 14q^{65} - 90q^{66} + 4q^{67} + 342q^{68} - 60q^{70} - 24q^{71} + 58q^{72} - 6q^{73} + 216q^{75} - 80q^{77} - 132q^{78} - 10q^{79} - 6q^{80} - 10q^{81} + 216q^{82} + 20q^{84} - 48q^{85} - 6q^{86} - 48q^{87} - 122q^{88} + 120q^{89} - 12q^{91} - 4q^{92} + 106q^{93} - 30q^{94} - 98q^{95} - 90q^{96} + 222q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{7}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.20567 + 0.115594i 1.55965 + 0.0817376i 0.812516 0.582939i \(-0.198097\pi\)
0.747131 + 0.664677i \(0.231431\pi\)
\(3\) −1.65814 2.04764i −0.957329 1.18220i −0.983199 0.182538i \(-0.941569\pi\)
0.0258697 0.999665i \(-0.491764\pi\)
\(4\) 2.86259 + 0.300870i 1.43130 + 0.150435i
\(5\) 0.294959 2.21653i 0.131910 0.991262i
\(6\) −3.42063 4.70809i −1.39646 1.92207i
\(7\) −1.02854 + 2.43764i −0.388753 + 0.921342i
\(8\) 1.91615 + 0.303488i 0.677460 + 0.107299i
\(9\) −0.819640 + 3.85610i −0.273213 + 1.28537i
\(10\) 0.906801 4.85484i 0.286756 1.53524i
\(11\) 4.32300 0.918881i 1.30343 0.277053i 0.496675 0.867936i \(-0.334554\pi\)
0.806757 + 0.590883i \(0.201221\pi\)
\(12\) −4.13051 6.36043i −1.19238 1.83610i
\(13\) 1.80815 + 0.921296i 0.501489 + 0.255522i 0.686387 0.727236i \(-0.259195\pi\)
−0.184898 + 0.982758i \(0.559195\pi\)
\(14\) −2.55041 + 5.25775i −0.681626 + 1.40519i
\(15\) −5.02773 + 3.07135i −1.29815 + 0.793020i
\(16\) −1.43961 0.305998i −0.359902 0.0764995i
\(17\) −0.163951 0.427108i −0.0397641 0.103589i 0.912261 0.409610i \(-0.134335\pi\)
−0.952025 + 0.306022i \(0.901002\pi\)
\(18\) −2.25360 + 8.41056i −0.531179 + 1.98239i
\(19\) 0.752481 + 7.15938i 0.172631 + 1.64247i 0.647246 + 0.762281i \(0.275921\pi\)
−0.474615 + 0.880194i \(0.657413\pi\)
\(20\) 1.51123 6.25627i 0.337922 1.39894i
\(21\) 6.69688 1.93587i 1.46138 0.422442i
\(22\) 9.64134 1.52704i 2.05554 0.325566i
\(23\) −0.214582 + 4.09447i −0.0447434 + 0.853756i 0.880422 + 0.474191i \(0.157259\pi\)
−0.925165 + 0.379564i \(0.876074\pi\)
\(24\) −2.55581 4.42679i −0.521703 0.903616i
\(25\) −4.82600 1.30757i −0.965200 0.261514i
\(26\) 3.88168 + 2.24109i 0.761261 + 0.439514i
\(27\) 2.21206 1.12710i 0.425711 0.216911i
\(28\) −3.67771 + 6.66851i −0.695023 + 1.26023i
\(29\) 4.82859 6.64598i 0.896646 1.23413i −0.0748793 0.997193i \(-0.523857\pi\)
0.971525 0.236935i \(-0.0761429\pi\)
\(30\) −11.4446 + 6.19322i −2.08948 + 1.13072i
\(31\) 0.349313 0.784569i 0.0627384 0.140913i −0.879455 0.475982i \(-0.842093\pi\)
0.942194 + 0.335069i \(0.108760\pi\)
\(32\) −6.88779 1.84558i −1.21760 0.326255i
\(33\) −9.04968 7.32829i −1.57535 1.27569i
\(34\) −0.312252 0.961013i −0.0535508 0.164812i
\(35\) 5.09972 + 2.99880i 0.862011 + 0.506890i
\(36\) −3.50648 + 10.7918i −0.584413 + 1.79864i
\(37\) −5.20221 + 3.37835i −0.855238 + 0.555398i −0.896143 0.443765i \(-0.853643\pi\)
0.0409051 + 0.999163i \(0.486976\pi\)
\(38\) 0.832143 + 15.8782i 0.134991 + 2.57579i
\(39\) −1.11168 5.23006i −0.178012 0.837481i
\(40\) 1.23787 4.15768i 0.195725 0.657386i
\(41\) 0.382586 0.124310i 0.0597500 0.0194139i −0.278990 0.960294i \(-0.589999\pi\)
0.338739 + 0.940880i \(0.389999\pi\)
\(42\) 14.9949 3.49579i 2.31376 0.539411i
\(43\) −1.61939 1.61939i −0.246954 0.246954i 0.572765 0.819719i \(-0.305871\pi\)
−0.819719 + 0.572765i \(0.805871\pi\)
\(44\) 12.6514 1.32972i 1.90728 0.200463i
\(45\) 8.30540 + 2.95415i 1.23810 + 0.440378i
\(46\) −0.946596 + 9.00626i −0.139568 + 1.32790i
\(47\) −8.18475 3.14183i −1.19387 0.458283i −0.321396 0.946945i \(-0.604152\pi\)
−0.872473 + 0.488662i \(0.837485\pi\)
\(48\) 1.76050 + 3.45518i 0.254107 + 0.498712i
\(49\) −4.88419 5.01444i −0.697742 0.716349i
\(50\) −10.4934 3.44193i −1.48400 0.486762i
\(51\) −0.602707 + 1.04392i −0.0843958 + 0.146178i
\(52\) 4.89879 + 3.18131i 0.679340 + 0.441169i
\(53\) 0.148119 0.119944i 0.0203457 0.0164756i −0.619094 0.785317i \(-0.712500\pi\)
0.639439 + 0.768842i \(0.279167\pi\)
\(54\) 5.00937 2.23031i 0.681688 0.303507i
\(55\) −0.761621 9.85308i −0.102697 1.32859i
\(56\) −2.71063 + 4.35873i −0.362224 + 0.582459i
\(57\) 13.4121 13.4121i 1.77647 1.77647i
\(58\) 11.4185 14.1007i 1.49933 1.85151i
\(59\) −2.29736 + 2.55148i −0.299091 + 0.332174i −0.873893 0.486119i \(-0.838412\pi\)
0.574802 + 0.818292i \(0.305079\pi\)
\(60\) −15.3164 + 7.27933i −1.97734 + 0.939758i
\(61\) −0.888527 + 0.800034i −0.113764 + 0.102434i −0.724050 0.689748i \(-0.757721\pi\)
0.610285 + 0.792182i \(0.291055\pi\)
\(62\) 0.861162 1.69013i 0.109368 0.214646i
\(63\) −8.55676 5.96416i −1.07805 0.751413i
\(64\) −12.1794 3.95733i −1.52242 0.494666i
\(65\) 2.57541 3.73606i 0.319440 0.463401i
\(66\) −19.1135 17.2099i −2.35271 2.11839i
\(67\) 4.00821 1.53861i 0.489680 0.187971i −0.100984 0.994888i \(-0.532199\pi\)
0.590664 + 0.806917i \(0.298866\pi\)
\(68\) −0.340822 1.27196i −0.0413307 0.154248i
\(69\) 8.73979 6.34983i 1.05215 0.764429i
\(70\) 10.9017 + 7.20388i 1.30300 + 0.861028i
\(71\) 0.544222 + 0.395400i 0.0645873 + 0.0469254i 0.619610 0.784910i \(-0.287291\pi\)
−0.555023 + 0.831835i \(0.687291\pi\)
\(72\) −2.74083 + 7.14010i −0.323010 + 0.841469i
\(73\) 9.23683 14.2235i 1.08109 1.66473i 0.437903 0.899022i \(-0.355721\pi\)
0.643186 0.765710i \(-0.277612\pi\)
\(74\) −11.8649 + 6.85020i −1.37927 + 0.796320i
\(75\) 5.32477 + 12.0500i 0.614851 + 1.39142i
\(76\) 20.7208i 2.37684i
\(77\) −2.20649 + 11.4830i −0.251453 + 1.30861i
\(78\) −1.84745 11.6643i −0.209182 1.32072i
\(79\) 5.67847 + 12.7540i 0.638878 + 1.43494i 0.884948 + 0.465691i \(0.154194\pi\)
−0.246070 + 0.969252i \(0.579139\pi\)
\(80\) −1.10288 + 3.10068i −0.123306 + 0.346666i
\(81\) 4.82847 + 2.14977i 0.536497 + 0.238864i
\(82\) 0.858230 0.229962i 0.0947757 0.0253951i
\(83\) −0.785870 + 4.96179i −0.0862605 + 0.544627i 0.906277 + 0.422685i \(0.138912\pi\)
−0.992537 + 0.121942i \(0.961088\pi\)
\(84\) 19.7529 3.52672i 2.15521 0.384797i
\(85\) −0.995056 + 0.237424i −0.107929 + 0.0257522i
\(86\) −3.38465 3.75903i −0.364976 0.405347i
\(87\) −21.6150 + 1.13280i −2.31737 + 0.121448i
\(88\) 8.56236 0.448734i 0.912751 0.0478352i
\(89\) 0.0463981 + 0.0515303i 0.00491819 + 0.00546220i 0.745599 0.666395i \(-0.232164\pi\)
−0.740681 + 0.671857i \(0.765497\pi\)
\(90\) 17.9775 + 7.47594i 1.89500 + 0.788033i
\(91\) −4.10555 + 3.46002i −0.430378 + 0.362708i
\(92\) −1.84616 + 11.6562i −0.192476 + 1.21525i
\(93\) −2.18572 + 0.585663i −0.226649 + 0.0607304i
\(94\) −17.6897 7.87597i −1.82455 0.812344i
\(95\) 16.0909 + 0.443826i 1.65089 + 0.0455356i
\(96\) 7.64186 + 17.1639i 0.779944 + 1.75178i
\(97\) 0.650222 + 4.10534i 0.0660200 + 0.416834i 0.998458 + 0.0555051i \(0.0176769\pi\)
−0.932438 + 0.361329i \(0.882323\pi\)
\(98\) −10.1933 11.6248i −1.02968 1.17428i
\(99\) 17.4231i 1.75108i
\(100\) −13.4214 5.19504i −1.34214 0.519504i
\(101\) 0.945816 0.546067i 0.0941122 0.0543357i −0.452205 0.891914i \(-0.649363\pi\)
0.546317 + 0.837578i \(0.316029\pi\)
\(102\) −1.45005 + 2.23287i −0.143576 + 0.221088i
\(103\) −0.795315 + 2.07187i −0.0783647 + 0.204147i −0.967166 0.254146i \(-0.918206\pi\)
0.888801 + 0.458293i \(0.151539\pi\)
\(104\) 3.18507 + 2.31409i 0.312322 + 0.226915i
\(105\) −2.31562 15.4148i −0.225981 1.50433i
\(106\) 0.340567 0.247436i 0.0330788 0.0240331i
\(107\) −3.45022 12.8764i −0.333545 1.24481i −0.905438 0.424479i \(-0.860457\pi\)
0.571893 0.820328i \(-0.306209\pi\)
\(108\) 6.67133 2.56088i 0.641949 0.246421i
\(109\) −11.5453 10.3954i −1.10584 0.995701i −0.999999 0.00131716i \(-0.999581\pi\)
−0.105838 0.994383i \(-0.533753\pi\)
\(110\) −0.540926 21.8207i −0.0515752 2.08052i
\(111\) 15.5436 + 5.05044i 1.47534 + 0.479366i
\(112\) 2.22661 3.19452i 0.210395 0.301853i
\(113\) −3.35748 + 6.58942i −0.315845 + 0.619880i −0.993284 0.115698i \(-0.963090\pi\)
0.677440 + 0.735578i \(0.263090\pi\)
\(114\) 31.1330 28.0323i 2.91588 2.62547i
\(115\) 9.01221 + 1.68333i 0.840393 + 0.156971i
\(116\) 15.8218 17.5719i 1.46902 1.63151i
\(117\) −5.03464 + 6.21726i −0.465453 + 0.574786i
\(118\) −5.36216 + 5.36216i −0.493627 + 0.493627i
\(119\) 1.20977 + 0.0396446i 0.110899 + 0.00363422i
\(120\) −10.5660 + 4.35931i −0.964537 + 0.397948i
\(121\) 7.79496 3.47054i 0.708632 0.315503i
\(122\) −2.05228 + 1.66190i −0.185805 + 0.150462i
\(123\) −0.888924 0.577274i −0.0801516 0.0520511i
\(124\) 1.23599 2.14080i 0.110995 0.192250i
\(125\) −4.32174 + 10.3113i −0.386548 + 0.922269i
\(126\) −18.1840 14.1441i −1.61996 1.26006i
\(127\) −7.99013 15.6815i −0.709009 1.39151i −0.911118 0.412146i \(-0.864780\pi\)
0.202109 0.979363i \(-0.435220\pi\)
\(128\) −13.0921 5.02557i −1.15718 0.444202i
\(129\) −0.630740 + 6.00109i −0.0555335 + 0.528366i
\(130\) 6.11238 7.94283i 0.536091 0.696632i
\(131\) −0.146341 + 0.0153810i −0.0127858 + 0.00134385i −0.110919 0.993829i \(-0.535379\pi\)
0.0981334 + 0.995173i \(0.468713\pi\)
\(132\) −23.7007 23.7007i −2.06288 2.06288i
\(133\) −18.2260 5.52946i −1.58039 0.479465i
\(134\) 9.01865 2.93034i 0.779093 0.253143i
\(135\) −1.84578 5.23554i −0.158860 0.450604i
\(136\) −0.184533 0.868158i −0.0158236 0.0744440i
\(137\) 0.741183 + 14.1426i 0.0633235 + 1.20828i 0.826818 + 0.562470i \(0.190149\pi\)
−0.763494 + 0.645815i \(0.776518\pi\)
\(138\) 20.0111 12.9954i 1.70346 1.10624i
\(139\) −4.99346 + 15.3683i −0.423539 + 1.30352i 0.480846 + 0.876805i \(0.340329\pi\)
−0.904386 + 0.426716i \(0.859671\pi\)
\(140\) 13.6962 + 10.1187i 1.15754 + 0.855186i
\(141\) 7.13816 + 21.9690i 0.601142 + 1.85012i
\(142\) 1.15467 + 0.935033i 0.0968977 + 0.0784663i
\(143\) 8.66317 + 2.32129i 0.724451 + 0.194116i
\(144\) 2.35992 5.30047i 0.196660 0.441705i
\(145\) −13.3068 12.6630i −1.10507 1.05160i
\(146\) 22.0176 30.3046i 1.82219 2.50803i
\(147\) −2.16906 + 18.3157i −0.178901 + 1.51065i
\(148\) −15.9082 + 8.10566i −1.30765 + 0.666281i
\(149\) 4.31194 + 2.48950i 0.353248 + 0.203948i 0.666115 0.745849i \(-0.267956\pi\)
−0.312867 + 0.949797i \(0.601289\pi\)
\(150\) 10.3518 + 27.1939i 0.845220 + 2.22038i
\(151\) −1.69473 2.93535i −0.137915 0.238876i 0.788792 0.614660i \(-0.210707\pi\)
−0.926707 + 0.375784i \(0.877373\pi\)
\(152\) −0.730920 + 13.9468i −0.0592855 + 1.13123i
\(153\) 1.78135 0.282139i 0.144014 0.0228096i
\(154\) −6.19417 + 25.0728i −0.499140 + 2.02042i
\(155\) −1.63599 1.00568i −0.131406 0.0807780i
\(156\) −1.60873 15.3060i −0.128801 1.22546i
\(157\) 3.32127 12.3952i 0.265067 0.989242i −0.697143 0.716932i \(-0.745546\pi\)
0.962210 0.272310i \(-0.0877876\pi\)
\(158\) 11.0506 + 28.7877i 0.879135 + 2.29022i
\(159\) −0.491204 0.104409i −0.0389550 0.00828015i
\(160\) −6.12239 + 14.7226i −0.484017 + 1.16392i
\(161\) −9.76014 4.73442i −0.769207 0.373124i
\(162\) 10.4015 + 5.29984i 0.817221 + 0.416395i
\(163\) 6.96627 + 10.7271i 0.545640 + 0.840212i 0.998685 0.0512758i \(-0.0163287\pi\)
−0.453044 + 0.891488i \(0.649662\pi\)
\(164\) 1.13259 0.240739i 0.0884404 0.0187986i
\(165\) −18.9126 + 17.8973i −1.47235 + 1.39331i
\(166\) −2.30693 + 10.8532i −0.179052 + 0.842375i
\(167\) −2.96449 0.469529i −0.229399 0.0363333i 0.0406764 0.999172i \(-0.487049\pi\)
−0.270076 + 0.962839i \(0.587049\pi\)
\(168\) 13.4197 1.67700i 1.03535 0.129383i
\(169\) −5.22060 7.18555i −0.401585 0.552734i
\(170\) −2.22221 + 0.408656i −0.170436 + 0.0313425i
\(171\) −28.2241 2.96647i −2.15835 0.226852i
\(172\) −4.14841 5.12287i −0.316314 0.390615i
\(173\) 23.8732 + 1.25114i 1.81504 + 0.0951224i 0.929362 0.369170i \(-0.120358\pi\)
0.885682 + 0.464292i \(0.153691\pi\)
\(174\) −47.8067 −3.62421
\(175\) 8.15114 10.4192i 0.616168 0.787615i
\(176\) −6.50460 −0.490302
\(177\) 9.03384 + 0.473444i 0.679025 + 0.0355862i
\(178\) 0.0963825 + 0.119022i 0.00722417 + 0.00892111i
\(179\) 7.74655 + 0.814195i 0.579004 + 0.0608558i 0.389504 0.921025i \(-0.372646\pi\)
0.189501 + 0.981881i \(0.439313\pi\)
\(180\) 22.8861 + 10.9554i 1.70583 + 0.816564i
\(181\) −4.21567 5.80237i −0.313348 0.431287i 0.623074 0.782163i \(-0.285884\pi\)
−0.936422 + 0.350877i \(0.885884\pi\)
\(182\) −9.45546 + 7.15709i −0.700885 + 0.530519i
\(183\) 3.11148 + 0.492810i 0.230007 + 0.0364296i
\(184\) −1.65379 + 7.78048i −0.121919 + 0.573584i
\(185\) 5.95378 + 12.5273i 0.437731 + 0.921027i
\(186\) −4.88869 + 1.03912i −0.358456 + 0.0761922i
\(187\) −1.10122 1.69573i −0.0805294 0.124004i
\(188\) −22.4843 11.4563i −1.63984 0.835539i
\(189\) 0.472267 + 6.55148i 0.0343523 + 0.476550i
\(190\) 35.4400 + 2.83896i 2.57109 + 0.205960i
\(191\) −5.54874 1.17942i −0.401492 0.0853398i 0.00273980 0.999996i \(-0.499128\pi\)
−0.404232 + 0.914656i \(0.632461\pi\)
\(192\) 12.0920 + 31.5008i 0.872666 + 2.27337i
\(193\) −0.772169 + 2.88177i −0.0555819 + 0.207435i −0.988132 0.153605i \(-0.950912\pi\)
0.932550 + 0.361040i \(0.117578\pi\)
\(194\) 0.959623 + 9.13020i 0.0688969 + 0.655510i
\(195\) −11.9205 + 0.921427i −0.853644 + 0.0659848i
\(196\) −12.4727 15.8238i −0.890911 1.13027i
\(197\) 4.91053 0.777752i 0.349861 0.0554125i 0.0209692 0.999780i \(-0.493325\pi\)
0.328892 + 0.944368i \(0.393325\pi\)
\(198\) −2.01401 + 38.4296i −0.143129 + 2.73107i
\(199\) −5.51403 9.55057i −0.390879 0.677022i 0.601687 0.798732i \(-0.294496\pi\)
−0.992566 + 0.121710i \(0.961162\pi\)
\(200\) −8.85049 3.97012i −0.625824 0.280730i
\(201\) −9.79668 5.65612i −0.691005 0.398952i
\(202\) 2.14928 1.09511i 0.151223 0.0770520i
\(203\) 11.2341 + 18.6061i 0.788480 + 1.30589i
\(204\) −2.03939 + 2.80698i −0.142786 + 0.196528i
\(205\) −0.162689 0.884680i −0.0113627 0.0617887i
\(206\) −1.99370 + 4.47793i −0.138908 + 0.311992i
\(207\) −15.6128 4.18344i −1.08517 0.290769i
\(208\) −2.32111 1.87959i −0.160940 0.130326i
\(209\) 9.83160 + 30.2585i 0.680066 + 2.09303i
\(210\) −3.32563 34.2677i −0.229490 2.36470i
\(211\) 4.10913 12.6466i 0.282884 0.870628i −0.704141 0.710060i \(-0.748668\pi\)
0.987025 0.160567i \(-0.0513324\pi\)
\(212\) 0.460091 0.298787i 0.0315992 0.0205208i
\(213\) −0.0927617 1.77000i −0.00635593 0.121278i
\(214\) −6.12162 28.7999i −0.418465 1.96872i
\(215\) −4.06707 + 3.11176i −0.277372 + 0.212221i
\(216\) 4.58069 1.48836i 0.311676 0.101270i
\(217\) 1.55322 + 1.65846i 0.105439 + 0.112584i
\(218\) −24.2635 24.2635i −1.64333 1.64333i
\(219\) −44.4405 + 4.67088i −3.00301 + 0.315629i
\(220\) 0.784291 28.4345i 0.0528769 1.91705i
\(221\) 0.0970450 0.923321i 0.00652795 0.0621093i
\(222\) 33.7004 + 12.9364i 2.26182 + 0.868233i
\(223\) −7.91299 15.5301i −0.529893 1.03997i −0.988484 0.151326i \(-0.951646\pi\)
0.458591 0.888648i \(-0.348354\pi\)
\(224\) 11.5832 14.8917i 0.773938 0.994993i
\(225\) 8.99770 17.5378i 0.599847 1.16919i
\(226\) −8.16720 + 14.1460i −0.543274 + 0.940978i
\(227\) 17.4115 + 11.3072i 1.15564 + 0.750483i 0.972569 0.232616i \(-0.0747285\pi\)
0.183074 + 0.983099i \(0.441395\pi\)
\(228\) 42.4286 34.3580i 2.80990 2.27541i
\(229\) −14.7892 + 6.58456i −0.977295 + 0.435120i −0.832308 0.554314i \(-0.812981\pi\)
−0.144987 + 0.989434i \(0.546314\pi\)
\(230\) 19.6834 + 4.75463i 1.29789 + 0.313511i
\(231\) 27.1717 14.5224i 1.78777 0.955504i
\(232\) 11.2693 11.2693i 0.739863 0.739863i
\(233\) 5.42935 6.70469i 0.355689 0.439239i −0.567624 0.823288i \(-0.692137\pi\)
0.923313 + 0.384049i \(0.125471\pi\)
\(234\) −11.8235 + 13.1313i −0.772923 + 0.858418i
\(235\) −9.37813 + 17.2150i −0.611762 + 1.12298i
\(236\) −7.34406 + 6.61262i −0.478058 + 0.430445i
\(237\) 16.6999 32.7755i 1.08478 2.12900i
\(238\) 2.66377 + 0.227286i 0.172667 + 0.0147327i
\(239\) −2.88402 0.937075i −0.186552 0.0606144i 0.214251 0.976779i \(-0.431269\pi\)
−0.400803 + 0.916164i \(0.631269\pi\)
\(240\) 8.17778 2.88307i 0.527874 0.186101i
\(241\) 16.9338 + 15.2472i 1.09080 + 0.982160i 0.999906 0.0137010i \(-0.00436129\pi\)
0.0908927 + 0.995861i \(0.471028\pi\)
\(242\) 17.5943 6.75382i 1.13100 0.434152i
\(243\) −5.53201 20.6458i −0.354879 1.32443i
\(244\) −2.78420 + 2.02284i −0.178240 + 0.129499i
\(245\) −12.5553 + 9.34690i −0.802128 + 0.597152i
\(246\) −1.89395 1.37603i −0.120754 0.0877327i
\(247\) −5.23532 + 13.6385i −0.333115 + 0.867795i
\(248\) 0.907441 1.39734i 0.0576226 0.0887310i
\(249\) 11.4630 6.61818i 0.726440 0.419410i
\(250\) −10.7243 + 22.2438i −0.678262 + 1.40682i
\(251\) 27.3670i 1.72739i −0.504015 0.863695i \(-0.668144\pi\)
0.504015 0.863695i \(-0.331856\pi\)
\(252\) −22.7001 19.6474i −1.42997 1.23767i
\(253\) 2.83469 + 17.8976i 0.178216 + 1.12521i
\(254\) −15.8109 35.5119i −0.992065 2.22821i
\(255\) 2.13610 + 1.64383i 0.133768 + 0.102941i
\(256\) −4.89782 2.18065i −0.306114 0.136291i
\(257\) −1.48219 + 0.397150i −0.0924562 + 0.0247736i −0.304751 0.952432i \(-0.598573\pi\)
0.212294 + 0.977206i \(0.431906\pi\)
\(258\) −2.08490 + 13.1635i −0.129800 + 0.819526i
\(259\) −2.88452 16.1559i −0.179235 1.00388i
\(260\) 8.49641 9.91995i 0.526925 0.615209i
\(261\) 21.6699 + 24.0668i 1.34133 + 1.48970i
\(262\) −0.324557 + 0.0170093i −0.0200512 + 0.00105084i
\(263\) 1.52827 0.0800934i 0.0942373 0.00493877i −0.00515899 0.999987i \(-0.501642\pi\)
0.0993963 + 0.995048i \(0.468309\pi\)
\(264\) −15.1165 16.7885i −0.930354 1.03326i
\(265\) −0.222171 0.363688i −0.0136479 0.0223412i
\(266\) −39.5614 14.3030i −2.42566 0.876973i
\(267\) 0.0285806 0.180451i 0.00174911 0.0110434i
\(268\) 11.9368 3.19845i 0.729155 0.195376i
\(269\) 22.3270 + 9.94062i 1.36130 + 0.606091i 0.951941 0.306282i \(-0.0990850\pi\)
0.409361 + 0.912373i \(0.365752\pi\)
\(270\) −3.46600 11.7613i −0.210934 0.715767i
\(271\) −6.80258 15.2788i −0.413227 0.928124i −0.993514 0.113711i \(-0.963726\pi\)
0.580287 0.814412i \(-0.302941\pi\)
\(272\) 0.105331 + 0.665037i 0.00638666 + 0.0403238i
\(273\) 13.8924 + 2.66946i 0.840809 + 0.161563i
\(274\) 31.2796i 1.88967i
\(275\) −22.0643 1.21810i −1.33053 0.0734541i
\(276\) 26.9289 15.5474i 1.62093 0.935844i
\(277\) −11.4859 + 17.6868i −0.690122 + 1.06270i 0.303813 + 0.952732i \(0.401740\pi\)
−0.993936 + 0.109964i \(0.964927\pi\)
\(278\) −12.7904 + 33.3202i −0.767119 + 1.99841i
\(279\) 2.73907 + 1.99005i 0.163984 + 0.119141i
\(280\) 8.86172 + 7.29384i 0.529589 + 0.435891i
\(281\) 6.80713 4.94567i 0.406079 0.295034i −0.365933 0.930641i \(-0.619250\pi\)
0.772013 + 0.635607i \(0.219250\pi\)
\(282\) 13.2050 + 49.2816i 0.786344 + 2.93468i
\(283\) 3.10491 1.19186i 0.184568 0.0708489i −0.264329 0.964433i \(-0.585150\pi\)
0.448897 + 0.893584i \(0.351817\pi\)
\(284\) 1.43892 + 1.29561i 0.0853842 + 0.0768803i
\(285\) −25.7723 33.6843i −1.52662 1.99528i
\(286\) 18.8398 + 6.12142i 1.11402 + 0.361967i
\(287\) −0.0904841 + 1.06047i −0.00534111 + 0.0625974i
\(288\) 12.7622 25.0473i 0.752022 1.47593i
\(289\) 12.4779 11.2352i 0.733995 0.660892i
\(290\) −27.8866 29.4686i −1.63756 1.73046i
\(291\) 7.32808 8.13866i 0.429580 0.477097i
\(292\) 30.7207 37.9369i 1.79779 2.22009i
\(293\) 0.310044 0.310044i 0.0181130 0.0181130i −0.697992 0.716105i \(-0.745923\pi\)
0.716105 + 0.697992i \(0.245923\pi\)
\(294\) −6.90144 + 40.1478i −0.402500 + 2.34146i
\(295\) 4.97779 + 5.84474i 0.289818 + 0.340294i
\(296\) −10.9935 + 4.89461i −0.638983 + 0.284494i
\(297\) 8.52705 6.90507i 0.494790 0.400673i
\(298\) 9.22296 + 5.98946i 0.534272 + 0.346960i
\(299\) −4.16021 + 7.20570i −0.240591 + 0.416717i
\(300\) 11.6171 + 36.0963i 0.670716 + 2.08402i
\(301\) 5.61309 2.28187i 0.323533 0.131525i
\(302\) −3.39870 6.67033i −0.195573 0.383834i
\(303\) −2.68644 1.03123i −0.154332 0.0592426i
\(304\) 1.10748 10.5370i 0.0635183 0.604336i
\(305\) 1.51122 + 2.20542i 0.0865321 + 0.126282i
\(306\) 3.96170 0.416391i 0.226475 0.0238035i
\(307\) 22.2385 + 22.2385i 1.26922 + 1.26922i 0.946491 + 0.322730i \(0.104601\pi\)
0.322730 + 0.946491i \(0.395399\pi\)
\(308\) −9.77118 + 32.2073i −0.556765 + 1.83518i
\(309\) 5.56118 1.80694i 0.316364 0.102793i
\(310\) −3.49220 2.40731i −0.198344 0.136726i
\(311\) −3.35279 15.7736i −0.190119 0.894441i −0.964983 0.262312i \(-0.915515\pi\)
0.774864 0.632128i \(-0.217818\pi\)
\(312\) −0.542889 10.3589i −0.0307351 0.586460i
\(313\) 13.9488 9.05844i 0.788432 0.512013i −0.0865047 0.996251i \(-0.527570\pi\)
0.874936 + 0.484238i \(0.160903\pi\)
\(314\) 8.75846 26.9558i 0.494269 1.52120i
\(315\) −15.7436 + 17.2071i −0.887052 + 0.969511i
\(316\) 12.4178 + 38.2181i 0.698557 + 2.14994i
\(317\) −9.11915 7.38454i −0.512182 0.414757i 0.338079 0.941118i \(-0.390223\pi\)
−0.850261 + 0.526361i \(0.823556\pi\)
\(318\) −1.07137 0.287072i −0.0600793 0.0160982i
\(319\) 14.7671 33.1675i 0.826799 1.85702i
\(320\) −12.3639 + 25.8287i −0.691166 + 1.44387i
\(321\) −20.6452 + 28.4157i −1.15230 + 1.58601i
\(322\) −20.9804 11.5708i −1.16919 0.644815i
\(323\) 2.93446 1.49518i 0.163278 0.0831941i
\(324\) 13.1751 + 7.60667i 0.731952 + 0.422593i
\(325\) −7.52145 6.81045i −0.417215 0.377776i
\(326\) 14.1253 + 24.4658i 0.782329 + 1.35503i
\(327\) −2.14231 + 40.8776i −0.118470 + 2.26054i
\(328\) 0.770818 0.122086i 0.0425613 0.00674105i
\(329\) 16.0770 16.7200i 0.886356 0.921802i
\(330\) −43.7839 + 37.2895i −2.41023 + 2.05272i
\(331\) 0.147294 + 1.40141i 0.00809602 + 0.0770285i 0.997824 0.0659358i \(-0.0210033\pi\)
−0.989728 + 0.142964i \(0.954337\pi\)
\(332\) −3.74248 + 13.9671i −0.205395 + 0.766546i
\(333\) −8.76334 22.8293i −0.480228 1.25104i
\(334\) −6.48442 1.37831i −0.354812 0.0754176i
\(335\) −2.22811 9.33813i −0.121735 0.510197i
\(336\) −10.2332 + 0.737669i −0.558269 + 0.0402431i
\(337\) 11.4838 + 5.85127i 0.625560 + 0.318739i 0.737879 0.674934i \(-0.235828\pi\)
−0.112319 + 0.993672i \(0.535828\pi\)
\(338\) −10.6843 16.4524i −0.581151 0.894895i
\(339\) 19.0599 4.05131i 1.03519 0.220037i
\(340\) −2.91987 + 0.380264i −0.158352 + 0.0206227i
\(341\) 0.789152 3.71267i 0.0427350 0.201052i
\(342\) −61.9102 9.80561i −3.34772 0.530227i
\(343\) 17.2470 6.74834i 0.931252 0.364376i
\(344\) −2.61152 3.59444i −0.140804 0.193799i
\(345\) −11.4967 21.2449i −0.618961 1.14379i
\(346\) 52.5118 + 5.51921i 2.82305 + 0.296715i
\(347\) −16.7932 20.7378i −0.901504 1.11326i −0.993077 0.117466i \(-0.962523\pi\)
0.0915732 0.995798i \(-0.470810\pi\)
\(348\) −62.2158 3.26059i −3.33512 0.174786i
\(349\) −14.1549 −0.757694 −0.378847 0.925459i \(-0.623679\pi\)
−0.378847 + 0.925459i \(0.623679\pi\)
\(350\) 19.1831 22.0390i 1.02538 1.17804i
\(351\) 5.03812 0.268915
\(352\) −31.4717 1.64936i −1.67745 0.0879114i
\(353\) −5.85513 7.23048i −0.311637 0.384840i 0.597129 0.802145i \(-0.296308\pi\)
−0.908766 + 0.417305i \(0.862975\pi\)
\(354\) 19.8710 + 2.08852i 1.05613 + 0.111004i
\(355\) 1.03694 1.08966i 0.0550350 0.0578330i
\(356\) 0.117315 + 0.161470i 0.00621768 + 0.00855790i
\(357\) −1.92479 2.54290i −0.101871 0.134585i
\(358\) 16.9922 + 2.69131i 0.898068 + 0.142240i
\(359\) −3.22980 + 15.1950i −0.170463 + 0.801963i 0.806950 + 0.590620i \(0.201117\pi\)
−0.977412 + 0.211343i \(0.932216\pi\)
\(360\) 15.0178 + 8.18116i 0.791508 + 0.431185i
\(361\) −32.1057 + 6.82428i −1.68977 + 0.359173i
\(362\) −8.62766 13.2854i −0.453460 0.698267i
\(363\) −20.0315 10.2066i −1.05138 0.535707i
\(364\) −12.7935 + 8.66938i −0.670563 + 0.454399i
\(365\) −28.8023 24.6690i −1.50758 1.29124i
\(366\) 6.80595 + 1.44665i 0.355753 + 0.0756176i
\(367\) 1.14296 + 2.97750i 0.0596618 + 0.155424i 0.960171 0.279412i \(-0.0901395\pi\)
−0.900509 + 0.434836i \(0.856806\pi\)
\(368\) 1.56181 5.82877i 0.0814152 0.303846i
\(369\) 0.165768 + 1.57718i 0.00862956 + 0.0821048i
\(370\) 11.6840 + 28.3194i 0.607423 + 1.47226i
\(371\) 0.140034 + 0.484429i 0.00727022 + 0.0251503i
\(372\) −6.43304 + 1.01889i −0.333537 + 0.0528271i
\(373\) −1.10604 + 21.1044i −0.0572683 + 1.09274i 0.807271 + 0.590180i \(0.200943\pi\)
−0.864540 + 0.502564i \(0.832390\pi\)
\(374\) −2.23292 3.86753i −0.115462 0.199985i
\(375\) 28.2798 8.24824i 1.46036 0.425937i
\(376\) −14.7297 8.50418i −0.759625 0.438570i
\(377\) 14.8537 7.56834i 0.765005 0.389789i
\(378\) 0.284351 + 14.5050i 0.0146255 + 0.746058i
\(379\) 12.5385 17.2577i 0.644058 0.886470i −0.354766 0.934955i \(-0.615439\pi\)
0.998824 + 0.0484851i \(0.0154393\pi\)
\(380\) 45.9282 + 6.11178i 2.35607 + 0.313527i
\(381\) −18.8612 + 42.3630i −0.966291 + 2.17032i
\(382\) −12.1024 3.24282i −0.619211 0.165917i
\(383\) 0.192731 + 0.156070i 0.00984808 + 0.00797481i 0.634232 0.773143i \(-0.281316\pi\)
−0.624384 + 0.781118i \(0.714650\pi\)
\(384\) 11.4180 + 35.1409i 0.582670 + 1.79327i
\(385\) 24.8016 + 8.27777i 1.26401 + 0.421874i
\(386\) −2.03627 + 6.26699i −0.103643 + 0.318981i
\(387\) 7.57183 4.91720i 0.384898 0.249956i
\(388\) 0.626144 + 11.9475i 0.0317877 + 0.606545i
\(389\) 4.39995 + 20.7001i 0.223086 + 1.04954i 0.937007 + 0.349311i \(0.113584\pi\)
−0.713920 + 0.700227i \(0.753082\pi\)
\(390\) −26.3992 + 0.654425i −1.33678 + 0.0331381i
\(391\) 1.78396 0.579644i 0.0902188 0.0293139i
\(392\) −7.83701 11.0907i −0.395829 0.560165i
\(393\) 0.274148 + 0.274148i 0.0138289 + 0.0138289i
\(394\) 10.9209 1.14784i 0.550189 0.0578272i
\(395\) 29.9446 8.82457i 1.50668 0.444012i
\(396\) −5.24208 + 49.8751i −0.263425 + 2.50632i
\(397\) 12.1855 + 4.67756i 0.611571 + 0.234760i 0.644385 0.764701i \(-0.277113\pi\)
−0.0328137 + 0.999461i \(0.510447\pi\)
\(398\) −11.0581 21.7028i −0.554295 1.08786i
\(399\) 18.8989 + 46.4888i 0.946130 + 2.32735i
\(400\) 6.54743 + 3.35913i 0.327372 + 0.167957i
\(401\) −15.0222 + 26.0192i −0.750173 + 1.29934i 0.197565 + 0.980290i \(0.436697\pi\)
−0.947738 + 0.319049i \(0.896637\pi\)
\(402\) −20.9545 13.6080i −1.04511 0.678705i
\(403\) 1.35443 1.09680i 0.0674689 0.0546353i
\(404\) 2.87178 1.27860i 0.142876 0.0636126i
\(405\) 6.18924 10.0683i 0.307546 0.500300i
\(406\) 22.6280 + 42.3375i 1.12301 + 2.10117i
\(407\) −19.3848 + 19.3848i −0.960870 + 0.960870i
\(408\) −1.47169 + 1.81739i −0.0728595 + 0.0899740i
\(409\) −6.14370 + 6.82327i −0.303787 + 0.337389i −0.875638 0.482968i \(-0.839559\pi\)
0.571851 + 0.820357i \(0.306225\pi\)
\(410\) −0.256575 1.97012i −0.0126713 0.0972974i
\(411\) 27.7299 24.9681i 1.36782 1.23159i
\(412\) −2.90003 + 5.69162i −0.142874 + 0.280406i
\(413\) −3.85665 8.22444i −0.189773 0.404698i
\(414\) −33.9532 11.0321i −1.66871 0.542196i
\(415\) 10.7662 + 3.20543i 0.528490 + 0.157348i
\(416\) −10.7538 9.68276i −0.527248 0.474736i
\(417\) 39.7485 15.2580i 1.94649 0.747188i
\(418\) 18.1876 + 67.8769i 0.889583 + 3.31997i
\(419\) 8.58306 6.23596i 0.419310 0.304647i −0.358050 0.933702i \(-0.616558\pi\)
0.777360 + 0.629056i \(0.216558\pi\)
\(420\) −1.99080 44.8230i −0.0971413 2.18714i
\(421\) −14.5995 10.6071i −0.711535 0.516960i 0.172134 0.985074i \(-0.444934\pi\)
−0.883668 + 0.468113i \(0.844934\pi\)
\(422\) 10.5253 27.4193i 0.512362 1.33475i
\(423\) 18.8238 28.9861i 0.915243 1.40935i
\(424\) 0.320219 0.184878i 0.0155512 0.00897849i
\(425\) 0.232756 + 2.27560i 0.0112903 + 0.110383i
\(426\) 3.91476i 0.189671i
\(427\) −1.03631 2.98878i −0.0501504 0.144637i
\(428\) −6.00244 37.8979i −0.290139 1.83186i
\(429\) −9.61162 21.5880i −0.464053 1.04228i
\(430\) −9.33033 + 6.39341i −0.449948 + 0.308317i
\(431\) −36.0390 16.0456i −1.73594 0.772889i −0.994836 0.101495i \(-0.967637\pi\)
−0.741101 0.671394i \(-0.765696\pi\)
\(432\) −3.52939 + 0.945697i −0.169808 + 0.0454999i
\(433\) −2.43178 + 15.3536i −0.116864 + 0.737849i 0.857768 + 0.514036i \(0.171850\pi\)
−0.974632 + 0.223813i \(0.928150\pi\)
\(434\) 3.23418 + 3.83757i 0.155245 + 0.184209i
\(435\) −3.86467 + 48.2445i −0.185297 + 2.31315i
\(436\) −29.9217 33.2315i −1.43299 1.59150i
\(437\) −29.4753 + 1.54474i −1.41000 + 0.0738948i
\(438\) −98.5611 + 5.16537i −4.70943 + 0.246811i
\(439\) 11.6679 + 12.9585i 0.556877 + 0.618474i 0.954187 0.299210i \(-0.0967231\pi\)
−0.397311 + 0.917684i \(0.630056\pi\)
\(440\) 1.53091 19.1111i 0.0729833 0.911085i
\(441\) 23.3395 14.7239i 1.11140 0.701139i
\(442\) 0.320780 2.02533i 0.0152580 0.0963350i
\(443\) 25.8035 6.91402i 1.22596 0.328495i 0.412954 0.910752i \(-0.364497\pi\)
0.813005 + 0.582257i \(0.197830\pi\)
\(444\) 42.9756 + 19.1340i 2.03953 + 0.908057i
\(445\) 0.127904 0.0876434i 0.00606323 0.00415470i
\(446\) −15.6583 35.1691i −0.741441 1.66530i
\(447\) −2.05222 12.9572i −0.0970668 0.612856i
\(448\) 22.1736 25.6187i 1.04760 1.21037i
\(449\) 17.4918i 0.825491i −0.910846 0.412746i \(-0.864570\pi\)
0.910846 0.412746i \(-0.135430\pi\)
\(450\) 21.8733 37.6426i 1.03112 1.77449i
\(451\) 1.53969 0.888943i 0.0725014 0.0418587i
\(452\) −11.5936 + 17.8526i −0.545319 + 0.839718i
\(453\) −3.20043 + 8.33742i −0.150370 + 0.391726i
\(454\) 37.0971 + 26.9526i 1.74105 + 1.26495i
\(455\) 6.45826 + 10.1206i 0.302768 + 0.474462i
\(456\) 29.7699 21.6291i 1.39410 1.01288i
\(457\) −5.47187 20.4213i −0.255963 0.955268i −0.967552 0.252672i \(-0.918691\pi\)
0.711589 0.702596i \(-0.247976\pi\)
\(458\) −33.3812 + 12.8138i −1.55980 + 0.598751i
\(459\) −0.844064 0.759998i −0.0393975 0.0354737i
\(460\) 25.2918 + 7.53018i 1.17924 + 0.351097i
\(461\) −19.9318 6.47624i −0.928318 0.301629i −0.194443 0.980914i \(-0.562290\pi\)
−0.733875 + 0.679285i \(0.762290\pi\)
\(462\) 61.6107 28.8908i 2.86639 1.34412i
\(463\) −9.67842 + 18.9950i −0.449794 + 0.882771i 0.549100 + 0.835757i \(0.314971\pi\)
−0.998894 + 0.0470143i \(0.985029\pi\)
\(464\) −8.98493 + 8.09007i −0.417115 + 0.375572i
\(465\) 0.653440 + 5.01746i 0.0303025 + 0.232679i
\(466\) 12.7504 14.1608i 0.590651 0.655984i
\(467\) 4.50437 5.56244i 0.208438 0.257399i −0.662196 0.749330i \(-0.730376\pi\)
0.870634 + 0.491931i \(0.163709\pi\)
\(468\) −16.2827 + 16.2827i −0.752668 + 0.752668i
\(469\) −0.372046 + 11.3531i −0.0171795 + 0.524237i
\(470\) −22.6750 + 36.8867i −1.04592 + 1.70146i
\(471\) −30.8879 + 13.7522i −1.42324 + 0.633668i
\(472\) −5.17642 + 4.19178i −0.238264 + 0.192942i
\(473\) −8.48863 5.51258i −0.390307 0.253469i
\(474\) 40.6233 70.3616i 1.86589 3.23181i
\(475\) 5.72991 35.5351i 0.262906 1.63046i
\(476\) 3.45114 + 0.477470i 0.158183 + 0.0218848i
\(477\) 0.341113 + 0.669472i 0.0156185 + 0.0306530i
\(478\) −6.25289 2.40026i −0.286001 0.109785i
\(479\) 1.56916 14.9295i 0.0716966 0.682148i −0.898358 0.439263i \(-0.855240\pi\)
0.970055 0.242885i \(-0.0780937\pi\)
\(480\) 40.2983 11.8758i 1.83936 0.542052i
\(481\) −12.5188 + 1.31578i −0.570809 + 0.0599944i
\(482\) 35.5878 + 35.5878i 1.62098 + 1.62098i
\(483\) 6.48935 + 27.8356i 0.295276 + 1.26656i
\(484\) 23.3580 7.58946i 1.06173 0.344975i
\(485\) 9.29139 0.230330i 0.421900 0.0104587i
\(486\) −9.81528 46.1773i −0.445230 2.09464i
\(487\) 1.10812 + 21.1442i 0.0502137 + 0.958135i 0.901323 + 0.433147i \(0.142597\pi\)
−0.851110 + 0.524988i \(0.824070\pi\)
\(488\) −1.94535 + 1.26332i −0.0880618 + 0.0571880i
\(489\) 10.4142 32.0515i 0.470944 1.44942i
\(490\) −28.7733 + 19.1649i −1.29985 + 0.865782i
\(491\) 9.70848 + 29.8796i 0.438138 + 1.34845i 0.889837 + 0.456278i \(0.150818\pi\)
−0.451700 + 0.892170i \(0.649182\pi\)
\(492\) −2.37094 1.91995i −0.106890 0.0865581i
\(493\) −3.63021 0.972711i −0.163496 0.0438087i
\(494\) −13.1239 + 29.4768i −0.590473 + 1.32623i
\(495\) 38.6187 + 5.13909i 1.73578 + 0.230985i
\(496\) −0.742950 + 1.02258i −0.0333594 + 0.0459153i
\(497\) −1.52360 + 0.919931i −0.0683428 + 0.0412646i
\(498\) 26.0487 13.2725i 1.16727 0.594754i
\(499\) −18.4253 10.6378i −0.824829 0.476215i 0.0272499 0.999629i \(-0.491325\pi\)
−0.852079 + 0.523413i \(0.824658\pi\)
\(500\) −15.4737 + 28.2167i −0.692006 + 1.26189i
\(501\) 3.95412 + 6.84874i 0.176657 + 0.305979i
\(502\) 3.16347 60.3627i 0.141193 2.69412i
\(503\) −20.6199 + 3.26588i −0.919398 + 0.145618i −0.598157 0.801379i \(-0.704100\pi\)
−0.321241 + 0.946997i \(0.604100\pi\)
\(504\) −14.5859 14.0251i −0.649710 0.624726i
\(505\) −0.931396 2.25749i −0.0414466 0.100457i
\(506\) 4.18355 + 39.8038i 0.185982 + 1.76950i
\(507\) −6.05687 + 22.6046i −0.268995 + 1.00390i
\(508\) −18.1544 47.2937i −0.805469 2.09832i
\(509\) −10.1694 2.16157i −0.450749 0.0958097i −0.0230571 0.999734i \(-0.507340\pi\)
−0.427692 + 0.903924i \(0.640673\pi\)
\(510\) 4.52153 + 3.87267i 0.200217 + 0.171485i
\(511\) 25.1712 + 37.1456i 1.11351 + 1.64322i
\(512\) 14.4391 + 7.35709i 0.638125 + 0.325141i
\(513\) 9.73387 + 14.9889i 0.429761 + 0.661774i
\(514\) −3.31513 + 0.704652i −0.146224 + 0.0310809i
\(515\) 4.35777 + 2.37395i 0.192026 + 0.104609i
\(516\) −3.61110 + 16.9889i −0.158970 + 0.747894i
\(517\) −38.2696 6.06131i −1.68310 0.266576i
\(518\) −4.49477 35.9681i −0.197489 1.58035i
\(519\) −37.0233 50.9581i −1.62514 2.23681i
\(520\) 6.06871 6.37724i 0.266130 0.279660i
\(521\) 8.40580 + 0.883485i 0.368265 + 0.0387062i 0.286854 0.957974i \(-0.407391\pi\)
0.0814111 + 0.996681i \(0.474057\pi\)
\(522\) 45.0147 + 55.5885i 1.97024 + 2.43304i
\(523\) 8.34005 + 0.437083i 0.364685 + 0.0191123i 0.233798 0.972285i \(-0.424884\pi\)
0.130886 + 0.991397i \(0.458218\pi\)
\(524\) −0.423541 −0.0185025
\(525\) −34.8504 + 0.585898i −1.52100 + 0.0255707i
\(526\) 3.38013 0.147381
\(527\) −0.392366 0.0205630i −0.0170917 0.000895740i
\(528\) 10.7855 + 13.3190i 0.469381 + 0.579637i
\(529\) 6.15537 + 0.646956i 0.267625 + 0.0281285i
\(530\) −0.447996 0.827859i −0.0194597 0.0359599i
\(531\) −7.95574 10.9501i −0.345250 0.475196i
\(532\) −50.5098 21.3122i −2.18988 0.924002i
\(533\) 0.806298 + 0.127705i 0.0349247 + 0.00553152i
\(534\) 0.0838987 0.394712i 0.00363065 0.0170809i
\(535\) −29.5586 + 3.84950i −1.27793 + 0.166429i
\(536\) 8.14726 1.73175i 0.351908 0.0748003i
\(537\) −11.1777 17.2122i −0.482354 0.742760i
\(538\) 48.0970 + 24.5067i 2.07361 + 1.05656i
\(539\) −25.7220 17.1894i −1.10793 0.740401i
\(540\) −3.70850 15.5425i −0.159589 0.668845i
\(541\) −9.71544 2.06508i −0.417699 0.0887847i −0.00573244 0.999984i \(-0.501825\pi\)
−0.411967 + 0.911199i \(0.635158\pi\)
\(542\) −13.2381 34.4865i −0.568626 1.48132i
\(543\) −4.89096 + 18.2533i −0.209891 + 0.783324i
\(544\) 0.341002 + 3.24441i 0.0146203 + 0.139103i
\(545\) −26.4471 + 22.5242i −1.13287 + 0.964832i
\(546\) 30.3336 + 7.49385i 1.29816 + 0.320707i
\(547\) −12.2172 + 1.93502i −0.522371 + 0.0827354i −0.412051 0.911161i \(-0.635188\pi\)
−0.110320 + 0.993896i \(0.535188\pi\)
\(548\) −2.13339 + 40.7075i −0.0911339 + 1.73894i
\(549\) −2.35674 4.08199i −0.100583 0.174215i
\(550\) −48.5258 5.23723i −2.06915 0.223316i
\(551\) 51.2145 + 29.5687i 2.18181 + 1.25967i
\(552\) 18.6738 9.51478i 0.794810 0.404976i
\(553\) −36.9304 + 0.723970i −1.57044 + 0.0307863i
\(554\) −27.3787 + 37.6835i −1.16321 + 1.60102i
\(555\) 15.7792 32.9633i 0.669789 1.39921i
\(556\) −18.9181 + 42.4907i −0.802305 + 1.80201i
\(557\) 11.4424 + 3.06598i 0.484829 + 0.129910i 0.492950 0.870057i \(-0.335918\pi\)
−0.00812111 + 0.999967i \(0.502585\pi\)
\(558\) 5.81145 + 4.70602i 0.246018 + 0.199222i
\(559\) −1.43615 4.42002i −0.0607428 0.186947i
\(560\) −6.42398 5.87760i −0.271463 0.248374i
\(561\) −1.64626 + 5.06667i −0.0695052 + 0.213915i
\(562\) 15.5860 10.1217i 0.657456 0.426957i
\(563\) 1.18390 + 22.5901i 0.0498954 + 0.952060i 0.902818 + 0.430023i \(0.141495\pi\)
−0.852923 + 0.522037i \(0.825172\pi\)
\(564\) 13.8238 + 65.0359i 0.582087 + 2.73851i
\(565\) 13.6153 + 9.38555i 0.572801 + 0.394853i
\(566\) 6.98619 2.26995i 0.293652 0.0954132i
\(567\) −10.2067 + 9.55895i −0.428640 + 0.401438i
\(568\) 0.922809 + 0.922809i 0.0387202 + 0.0387202i
\(569\) 7.77133 0.816799i 0.325791 0.0342420i 0.0597787 0.998212i \(-0.480960\pi\)
0.266012 + 0.963970i \(0.414294\pi\)
\(570\) −52.9515 77.2757i −2.21789 3.23672i
\(571\) 0.0816136 0.776501i 0.00341542 0.0324956i −0.992681 0.120762i \(-0.961466\pi\)
0.996097 + 0.0882667i \(0.0281328\pi\)
\(572\) 24.1007 + 9.25139i 1.00770 + 0.386820i
\(573\) 6.78557 + 13.3174i 0.283471 + 0.556344i
\(574\) −0.322162 + 2.32858i −0.0134468 + 0.0971932i
\(575\) 6.38937 19.4793i 0.266455 0.812344i
\(576\) 25.2426 43.7214i 1.05177 1.82173i
\(577\) −26.0489 16.9163i −1.08443 0.704236i −0.126709 0.991940i \(-0.540441\pi\)
−0.957719 + 0.287704i \(0.907108\pi\)
\(578\) 28.8209 23.3387i 1.19879 0.970764i
\(579\) 7.18119 3.19727i 0.298440 0.132874i
\(580\) −34.2819 40.2526i −1.42348 1.67140i
\(581\) −11.2868 7.01909i −0.468254 0.291201i
\(582\) 17.1041 17.1041i 0.708989 0.708989i
\(583\) 0.530103 0.654622i 0.0219546 0.0271117i
\(584\) 22.0158 24.4510i 0.911019 1.01179i
\(585\) 12.2957 + 12.9933i 0.508366 + 0.537205i
\(586\) 0.719696 0.648017i 0.0297303 0.0267693i
\(587\) −0.413752 + 0.812035i −0.0170774 + 0.0335163i −0.899388 0.437152i \(-0.855987\pi\)
0.882310 + 0.470668i \(0.155987\pi\)
\(588\) −11.7198 + 51.7778i −0.483316 + 2.13528i
\(589\) 5.87988 + 1.91049i 0.242276 + 0.0787204i
\(590\) 10.3038 + 13.4670i 0.424199 + 0.554428i
\(591\) −9.73492 8.76536i −0.400441 0.360559i
\(592\) 8.52291 3.27164i 0.350290 0.134464i
\(593\) −1.10557 4.12603i −0.0454002 0.169436i 0.939503 0.342540i \(-0.111287\pi\)
−0.984904 + 0.173104i \(0.944620\pi\)
\(594\) 19.6061 14.2447i 0.804447 0.584465i
\(595\) 0.444705 2.66979i 0.0182311 0.109451i
\(596\) 11.5943 + 8.42375i 0.474921 + 0.345050i
\(597\) −10.4131 + 27.1269i −0.426178 + 1.11023i
\(598\) −10.0090 + 15.4125i −0.409299 + 0.630265i
\(599\) −14.1145 + 8.14902i −0.576704 + 0.332960i −0.759822 0.650131i \(-0.774714\pi\)
0.183119 + 0.983091i \(0.441381\pi\)
\(600\) 6.54600 + 24.7056i 0.267239 + 1.00860i
\(601\) 2.76321i 0.112714i 0.998411 + 0.0563569i \(0.0179485\pi\)
−0.998411 + 0.0563569i \(0.982052\pi\)
\(602\) 12.6444 4.38423i 0.515348 0.178688i
\(603\) 2.64774 + 16.7172i 0.107824 + 0.680775i
\(604\) −3.96815 8.91261i −0.161462 0.362649i
\(605\) −5.39336 18.3014i −0.219271 0.744058i
\(606\) −5.80621 2.58509i −0.235861 0.105012i
\(607\) −6.59047 + 1.76591i −0.267499 + 0.0716761i −0.390075 0.920783i \(-0.627551\pi\)
0.122576 + 0.992459i \(0.460884\pi\)
\(608\) 8.03026 50.7010i 0.325670 2.05620i
\(609\) 19.4707 53.8548i 0.788991 2.18231i
\(610\) 3.07832 + 5.03913i 0.124638 + 0.204029i
\(611\) −11.9047 13.2215i −0.481611 0.534884i
\(612\) 5.18417 0.271691i 0.209558 0.0109825i
\(613\) 35.0998 1.83950i 1.41767 0.0742968i 0.671968 0.740580i \(-0.265449\pi\)
0.745699 + 0.666283i \(0.232116\pi\)
\(614\) 46.4803 + 51.6216i 1.87579 + 2.08328i
\(615\) −1.54174 + 1.80005i −0.0621690 + 0.0725852i
\(616\) −7.71291 + 21.3335i −0.310762 + 0.859552i
\(617\) 0.760663 4.80264i 0.0306232 0.193347i −0.967634 0.252357i \(-0.918794\pi\)
0.998257 + 0.0590098i \(0.0187943\pi\)
\(618\) 12.4750 3.34267i 0.501819 0.134462i
\(619\) 6.12315 + 2.72620i 0.246110 + 0.109575i 0.526085 0.850432i \(-0.323659\pi\)
−0.279975 + 0.960007i \(0.590326\pi\)
\(620\) −4.38058 3.37106i −0.175928 0.135385i
\(621\) 4.14021 + 9.29906i 0.166141 + 0.373159i
\(622\) −5.57181 35.1791i −0.223409 1.41055i
\(623\) −0.173335 + 0.0601008i −0.00694452 + 0.00240789i
\(624\) 7.86941i 0.315029i
\(625\) 21.5805 + 12.6207i 0.863221 + 0.504826i
\(626\) 31.8136 18.3676i 1.27153 0.734116i
\(627\) 45.6563 70.3045i 1.82334 2.80769i
\(628\) 13.2368 34.4830i 0.528205 1.37602i
\(629\) 2.29583 + 1.66802i 0.0915408 + 0.0665083i
\(630\) −36.7143 + 36.1334i −1.46273 + 1.43959i
\(631\) −20.9516 + 15.2223i −0.834071 + 0.605988i −0.920708 0.390252i \(-0.872388\pi\)
0.0866370 + 0.996240i \(0.472388\pi\)
\(632\) 7.01008 + 26.1620i 0.278846 + 1.04067i
\(633\) −32.7092 + 12.5559i −1.30007 + 0.499051i
\(634\) −19.2602 17.3420i −0.764922 0.688739i
\(635\) −37.1153 + 13.0849i −1.47287 + 0.519260i
\(636\) −1.37470 0.446668i −0.0545105 0.0177115i
\(637\) −4.21155 13.5666i −0.166868 0.537530i
\(638\) 36.4054 71.4496i 1.44130 2.82872i
\(639\) −1.97077 + 1.77449i −0.0779625 + 0.0701977i
\(640\) −15.0009 + 27.5366i −0.592964 + 1.08848i
\(641\) 12.3010 13.6616i 0.485859 0.539602i −0.449509 0.893276i \(-0.648401\pi\)
0.935369 + 0.353674i \(0.115068\pi\)
\(642\) −48.8213 + 60.2892i −1.92682 + 2.37943i
\(643\) −8.87881 + 8.87881i −0.350146 + 0.350146i −0.860164 0.510018i \(-0.829639\pi\)
0.510018 + 0.860164i \(0.329639\pi\)
\(644\) −26.5148 16.4892i −1.04483 0.649767i
\(645\) 13.1155 + 3.16813i 0.516424 + 0.124745i
\(646\) 6.64529 2.95868i 0.261456 0.116408i
\(647\) 17.7554 14.3780i 0.698035 0.565258i −0.213268 0.976994i \(-0.568411\pi\)
0.911303 + 0.411736i \(0.135077\pi\)
\(648\) 8.59962 + 5.58466i 0.337825 + 0.219386i
\(649\) −7.58697 + 13.1410i −0.297815 + 0.515830i
\(650\) −15.8026 15.8911i −0.619830 0.623299i
\(651\) 0.820476 5.93039i 0.0321570 0.232430i
\(652\) 16.7141 + 32.8033i 0.654575 + 1.28468i
\(653\) 28.6349 + 10.9919i 1.12057 + 0.430147i 0.846941 0.531687i \(-0.178442\pi\)
0.273631 + 0.961835i \(0.411775\pi\)
\(654\) −9.45045 + 89.9150i −0.369542 + 3.51596i
\(655\) −0.00907198 + 0.328905i −0.000354472 + 0.0128514i
\(656\) −0.588813 + 0.0618867i −0.0229893 + 0.00241627i
\(657\) 47.2763 + 47.2763i 1.84442 + 1.84442i
\(658\) 37.3934 35.0204i 1.45775 1.36524i
\(659\) −14.8928 + 4.83895i −0.580140 + 0.188499i −0.584363 0.811492i \(-0.698656\pi\)
0.00422331 + 0.999991i \(0.498656\pi\)
\(660\) −59.5239 + 45.5425i −2.31697 + 1.77274i
\(661\) 6.59902 + 31.0460i 0.256672 + 1.20755i 0.897901 + 0.440198i \(0.145092\pi\)
−0.641228 + 0.767350i \(0.721575\pi\)
\(662\) 0.162888 + 3.10808i 0.00633081 + 0.120799i
\(663\) −2.05154 + 1.33229i −0.0796752 + 0.0517417i
\(664\) −3.01168 + 9.26901i −0.116876 + 0.359707i
\(665\) −17.6321 + 38.7674i −0.683744 + 1.50334i
\(666\) −16.6901 51.3669i −0.646729 1.99043i
\(667\) 26.1756 + 21.1966i 1.01352 + 0.820736i
\(668\) −8.34486 2.23600i −0.322872 0.0865133i
\(669\) −18.6792 + 41.9541i −0.722178 + 1.62204i
\(670\) −3.83505 20.8544i −0.148161 0.805677i
\(671\) −3.10596 + 4.27499i −0.119904 + 0.165034i
\(672\) −49.6994 + 0.974290i −1.91720 + 0.0375841i
\(673\) 3.58187 1.82505i 0.138071 0.0703507i −0.383590 0.923503i \(-0.625312\pi\)
0.521661 + 0.853153i \(0.325312\pi\)
\(674\) 24.6530 + 14.2334i 0.949600 + 0.548252i
\(675\) −12.1492 + 2.54696i −0.467621 + 0.0980327i
\(676\) −12.7825 22.1400i −0.491636 0.851538i
\(677\) −1.04880 + 20.0123i −0.0403086 + 0.769135i 0.901458 + 0.432867i \(0.142498\pi\)
−0.941766 + 0.336268i \(0.890835\pi\)
\(678\) 42.5082 6.73264i 1.63252 0.258566i
\(679\) −10.6761 2.63752i −0.409712 0.101219i
\(680\) −1.97873 + 0.152951i −0.0758807 + 0.00586541i
\(681\) −5.71781 54.4013i −0.219107 2.08466i
\(682\) 2.16978 8.09771i 0.0830850 0.310077i
\(683\) 18.1601 + 47.3086i 0.694876 + 1.81021i 0.576248 + 0.817275i \(0.304516\pi\)
0.118628 + 0.992939i \(0.462150\pi\)
\(684\) −79.9014 16.9836i −3.05511 0.649383i
\(685\) 31.5661 + 2.52863i 1.20608 + 0.0966141i
\(686\) 38.8214 12.8910i 1.48221 0.492180i
\(687\) 38.0053 + 19.3647i 1.44999 + 0.738808i
\(688\) 1.83575 + 2.82681i 0.0699874 + 0.107771i
\(689\) 0.378325 0.0804154i 0.0144130 0.00306358i
\(690\) −22.9022 48.1883i −0.871871 1.83450i
\(691\) 3.34991 15.7601i 0.127437 0.599543i −0.867362 0.497678i \(-0.834186\pi\)
0.994798 0.101864i \(-0.0324807\pi\)
\(692\) 67.9627 + 10.7642i 2.58355 + 0.409195i
\(693\) −42.4712 17.9204i −1.61335 0.680739i
\(694\) −34.6430 47.6821i −1.31503 1.80999i
\(695\) 32.5914 + 15.6011i 1.23626 + 0.591785i
\(696\) −41.7613 4.38929i −1.58296 0.166376i
\(697\) −0.115819 0.143025i −0.00438697 0.00541746i
\(698\) −31.2211 1.63623i −1.18174 0.0619321i
\(699\) −22.7314 −0.859781
\(700\) 26.4682 27.3734i 1.00040 1.03462i
\(701\) 40.7107 1.53762 0.768811 0.639476i \(-0.220849\pi\)
0.768811 + 0.639476i \(0.220849\pi\)
\(702\) 11.1124 + 0.582379i 0.419412 + 0.0219805i
\(703\) −28.1015 34.7025i −1.05987 1.30883i
\(704\) −56.2878 5.91609i −2.12143 0.222971i
\(705\) 50.8004 9.34199i 1.91325 0.351840i
\(706\) −12.0787 16.6249i −0.454588 0.625686i
\(707\) 0.358302 + 2.86721i 0.0134753 + 0.107833i
\(708\) 25.7177 + 4.07329i 0.966532 + 0.153084i
\(709\) −6.15042 + 28.9354i −0.230984 + 1.08669i 0.697864 + 0.716231i \(0.254134\pi\)
−0.928847 + 0.370462i \(0.879199\pi\)
\(710\) 2.41311 2.28356i 0.0905623 0.0857006i
\(711\) −53.8352 + 11.4430i −2.01898 + 0.429147i
\(712\) 0.0732667 + 0.112821i 0.00274579 + 0.00422814i
\(713\) 3.13744 + 1.59860i 0.117498 + 0.0598682i
\(714\) −3.95151 5.83130i −0.147882 0.218231i
\(715\) 7.70048 18.5175i 0.287982 0.692514i
\(716\) 21.9302 + 4.66142i 0.819572 + 0.174205i
\(717\) 2.86333 + 7.45923i 0.106933 + 0.278570i
\(718\) −8.88035 + 33.1419i −0.331412 + 1.23685i
\(719\) −2.67420 25.4433i −0.0997309 0.948876i −0.923926 0.382571i \(-0.875039\pi\)
0.824195 0.566306i \(-0.191628\pi\)
\(720\) −11.0526 6.79425i −0.411904 0.253207i
\(721\) −4.23245 4.06970i −0.157625 0.151564i
\(722\) −71.6036 + 11.3409i −2.66481 + 0.422064i
\(723\) 3.14217 59.9562i 0.116859 2.22980i
\(724\) −10.3220 17.8782i −0.383613 0.664437i
\(725\) −31.9928 + 25.7598i −1.18818 + 0.956694i
\(726\) −43.0032 24.8279i −1.59600 0.921451i
\(727\) −17.2579 + 8.79336i −0.640061 + 0.326128i −0.743726 0.668485i \(-0.766943\pi\)
0.103665 + 0.994612i \(0.466943\pi\)
\(728\) −8.91690 + 5.38391i −0.330482 + 0.199541i
\(729\) −23.7820 + 32.7332i −0.880816 + 1.21234i
\(730\) −60.6768 57.7412i −2.24575 2.13710i
\(731\) −0.426152 + 0.957154i −0.0157618 + 0.0354016i
\(732\) 8.75863 + 2.34687i 0.323728 + 0.0867427i
\(733\) −31.8957 25.8286i −1.17810 0.954003i −0.178543 0.983932i \(-0.557138\pi\)
−0.999552 + 0.0299292i \(0.990472\pi\)
\(734\) 2.17680 + 6.69952i 0.0803473 + 0.247284i
\(735\) 39.9575 + 10.2102i 1.47386 + 0.376608i
\(736\) 9.03465 27.8058i 0.333022 1.02494i
\(737\) 15.9137 10.3345i 0.586188 0.380675i
\(738\) 0.183318 + 3.49791i 0.00674802 + 0.128760i
\(739\) 10.2431 + 48.1899i 0.376798 + 1.77270i 0.602114 + 0.798410i \(0.294325\pi\)
−0.225316 + 0.974286i \(0.572342\pi\)
\(740\) 13.2741 + 37.6519i 0.487967 + 1.38411i
\(741\) 36.6075 11.8945i 1.34481 0.436955i
\(742\) 0.252873 + 1.08468i 0.00928326 + 0.0398198i
\(743\) 1.48958 + 1.48958i 0.0546475 + 0.0546475i 0.733902 0.679255i \(-0.237697\pi\)
−0.679255 + 0.733902i \(0.737697\pi\)
\(744\) −4.36590 + 0.458875i −0.160062 + 0.0168232i
\(745\) 6.78989 8.82324i 0.248762 0.323258i
\(746\) −4.87911 + 46.4216i −0.178637 + 1.69962i
\(747\) −18.4890 7.09728i −0.676478 0.259676i
\(748\) −2.64215 5.18552i −0.0966067 0.189601i
\(749\) 34.9367 + 4.83354i 1.27656 + 0.176614i
\(750\) 63.3295 14.9239i 2.31247 0.544945i
\(751\) −7.00522 + 12.1334i −0.255624 + 0.442754i −0.965065 0.262011i \(-0.915614\pi\)
0.709441 + 0.704765i \(0.248948\pi\)
\(752\) 10.8214 + 7.02753i 0.394617 + 0.256267i
\(753\) −56.0377 + 45.3784i −2.04213 + 1.65368i
\(754\) 33.6373 14.9763i 1.22500 0.545404i
\(755\) −7.00617 + 2.89060i −0.254981 + 0.105200i
\(756\) −0.619240 + 18.8963i −0.0225216 + 0.687252i
\(757\) 1.81597 1.81597i 0.0660025 0.0660025i −0.673335 0.739338i \(-0.735139\pi\)
0.739338 + 0.673335i \(0.235139\pi\)
\(758\) 29.6507 36.6155i 1.07696 1.32994i
\(759\) 31.9473 35.4811i 1.15961 1.28788i
\(760\) 30.6979 + 5.73383i 1.11353 + 0.207988i
\(761\) −17.2162 + 15.5015i −0.624087 + 0.561931i −0.919328 0.393492i \(-0.871267\pi\)
0.295241 + 0.955423i \(0.404600\pi\)
\(762\) −46.4987 + 91.2588i −1.68447 + 3.30596i
\(763\) 37.2151 17.4511i 1.34728 0.631773i
\(764\) −15.5289 5.04565i −0.561816 0.182545i
\(765\) −0.0999425 4.03164i −0.00361343 0.145764i
\(766\) 0.407060 + 0.366519i 0.0147077 + 0.0132429i
\(767\) −6.50463 + 2.49689i −0.234868 + 0.0901575i
\(768\) 3.65611 + 13.6448i 0.131928 + 0.492364i
\(769\) −17.3349 + 12.5946i −0.625114 + 0.454172i −0.854704 0.519115i \(-0.826261\pi\)
0.229590 + 0.973287i \(0.426261\pi\)
\(770\) 53.7474 + 21.1250i 1.93692 + 0.761292i
\(771\) 3.27089 + 2.37644i 0.117798 + 0.0855855i
\(772\) −3.07744 + 8.01701i −0.110760 +