Properties

Label 300.2.r.a.59.15
Level $300$
Weight $2$
Character 300.59
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.r (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 59.15
Character \(\chi\) \(=\) 300.59
Dual form 300.2.r.a.239.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.949542 - 1.04803i) q^{2} +(1.71582 + 0.236546i) q^{3} +(-0.196739 + 1.99030i) q^{4} +(-0.101169 - 2.23378i) q^{5} +(-1.38134 - 2.02285i) q^{6} +0.903444 q^{7} +(2.27271 - 1.68369i) q^{8} +(2.88809 + 0.811741i) q^{9} +O(q^{10})\) \(q+(-0.949542 - 1.04803i) q^{2} +(1.71582 + 0.236546i) q^{3} +(-0.196739 + 1.99030i) q^{4} +(-0.101169 - 2.23378i) q^{5} +(-1.38134 - 2.02285i) q^{6} +0.903444 q^{7} +(2.27271 - 1.68369i) q^{8} +(2.88809 + 0.811741i) q^{9} +(-2.24500 + 2.22710i) q^{10} +(-0.0159524 - 0.0115901i) q^{11} +(-0.808366 + 3.36846i) q^{12} +(-1.50613 - 2.07301i) q^{13} +(-0.857859 - 0.946838i) q^{14} +(0.354802 - 3.85670i) q^{15} +(-3.92259 - 0.783138i) q^{16} +(-0.0389111 + 0.119756i) q^{17} +(-1.89164 - 3.79759i) q^{18} +(5.78437 + 1.87945i) q^{19} +(4.46579 + 0.238114i) q^{20} +(1.55015 + 0.213706i) q^{21} +(0.00300070 + 0.0277239i) q^{22} +(4.34613 - 5.98194i) q^{23} +(4.29783 - 2.35131i) q^{24} +(-4.97953 + 0.451980i) q^{25} +(-0.742446 + 3.54689i) q^{26} +(4.76344 + 2.07597i) q^{27} +(-0.177743 + 1.79813i) q^{28} +(-6.74343 + 2.19107i) q^{29} +(-4.37884 + 3.29025i) q^{30} +(-1.78347 - 0.579484i) q^{31} +(2.90391 + 4.85462i) q^{32} +(-0.0246299 - 0.0236600i) q^{33} +(0.162456 - 0.0729335i) q^{34} +(-0.0914009 - 2.01809i) q^{35} +(-2.18381 + 5.58847i) q^{36} +(2.02683 + 2.78969i) q^{37} +(-3.52277 - 7.84682i) q^{38} +(-2.09389 - 3.91319i) q^{39} +(-3.99091 - 4.90639i) q^{40} +(-2.58437 - 3.55708i) q^{41} +(-1.24796 - 1.82753i) q^{42} +7.15556 q^{43} +(0.0262062 - 0.0294698i) q^{44} +(1.52106 - 6.53348i) q^{45} +(-10.3961 + 1.12522i) q^{46} +(-5.03956 + 1.63745i) q^{47} +(-6.54522 - 2.27160i) q^{48} -6.18379 q^{49} +(5.20196 + 4.78953i) q^{50} +(-0.0950924 + 0.196276i) q^{51} +(4.42223 - 2.58981i) q^{52} +(0.0726282 + 0.223527i) q^{53} +(-2.34741 - 6.96345i) q^{54} +(-0.0242758 + 0.0368067i) q^{55} +(2.05327 - 1.52112i) q^{56} +(9.48037 + 4.59308i) q^{57} +(8.69949 + 4.98681i) q^{58} +(-12.0918 + 8.78519i) q^{59} +(7.60618 + 1.46493i) q^{60} +(5.52424 + 4.01360i) q^{61} +(1.08616 + 2.41938i) q^{62} +(2.60923 + 0.733363i) q^{63} +(2.33041 - 7.65305i) q^{64} +(-4.47828 + 3.57409i) q^{65} +(-0.00140931 + 0.0482791i) q^{66} +(-4.13519 + 12.7268i) q^{67} +(-0.230695 - 0.101006i) q^{68} +(8.87220 - 9.23589i) q^{69} +(-2.02824 + 2.01206i) q^{70} +(3.59697 + 11.0703i) q^{71} +(7.93051 - 3.01779i) q^{72} +(-3.17175 + 4.36554i) q^{73} +(0.999124 - 4.77311i) q^{74} +(-8.65090 - 0.402370i) q^{75} +(-4.87869 + 11.1429i) q^{76} +(-0.0144121 - 0.0104710i) q^{77} +(-2.11291 + 5.91020i) q^{78} +(-0.586897 + 0.190695i) q^{79} +(-1.35251 + 8.84142i) q^{80} +(7.68215 + 4.68877i) q^{81} +(-1.27396 + 6.08610i) q^{82} +(11.0296 + 3.58375i) q^{83} +(-0.730314 + 3.04322i) q^{84} +(0.271445 + 0.0748032i) q^{85} +(-6.79451 - 7.49925i) q^{86} +(-12.0888 + 2.16436i) q^{87} +(-0.0557692 + 0.000517917i) q^{88} +(-5.84353 + 8.04293i) q^{89} +(-8.29161 + 4.60969i) q^{90} +(-1.36071 - 1.87285i) q^{91} +(11.0508 + 9.82699i) q^{92} +(-2.92304 - 1.41616i) q^{93} +(6.50138 + 3.72679i) q^{94} +(3.61308 - 13.1111i) q^{95} +(3.83425 + 9.01657i) q^{96} +(12.3121 - 4.00046i) q^{97} +(5.87177 + 6.48080i) q^{98} +(-0.0366638 - 0.0464225i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} - 5q^{12} - 20q^{13} + 6q^{16} - 24q^{21} - 10q^{22} - 28q^{24} - 20q^{25} - 50q^{28} - 25q^{30} - 10q^{33} - 14q^{34} - 25q^{36} - 60q^{37} - 20q^{40} - 85q^{42} - 30q^{45} + 6q^{46} - 70q^{48} + 88q^{49} + 40q^{52} - 46q^{54} + 50q^{58} + 10q^{60} - 28q^{61} + 18q^{64} + 64q^{66} - 42q^{69} - 40q^{70} - 5q^{72} - 20q^{73} - 80q^{76} - 85q^{78} + 18q^{81} - 48q^{84} - 20q^{85} + 50q^{88} - 60q^{90} + 60q^{94} + 44q^{96} - 120q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{7}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.949542 1.04803i −0.671428 0.741070i
\(3\) 1.71582 + 0.236546i 0.990630 + 0.136570i
\(4\) −0.196739 + 1.99030i −0.0983694 + 0.995150i
\(5\) −0.101169 2.23378i −0.0452443 0.998976i
\(6\) −1.38134 2.02285i −0.563929 0.825823i
\(7\) 0.903444 0.341470 0.170735 0.985317i \(-0.445386\pi\)
0.170735 + 0.985317i \(0.445386\pi\)
\(8\) 2.27271 1.68369i 0.803524 0.595273i
\(9\) 2.88809 + 0.811741i 0.962697 + 0.270580i
\(10\) −2.24500 + 2.22710i −0.709933 + 0.704269i
\(11\) −0.0159524 0.0115901i −0.00480983 0.00349455i 0.585378 0.810761i \(-0.300946\pi\)
−0.590188 + 0.807266i \(0.700946\pi\)
\(12\) −0.808366 + 3.36846i −0.233355 + 0.972392i
\(13\) −1.50613 2.07301i −0.417726 0.574950i 0.547356 0.836900i \(-0.315635\pi\)
−0.965082 + 0.261950i \(0.915635\pi\)
\(14\) −0.857859 0.946838i −0.229272 0.253053i
\(15\) 0.354802 3.85670i 0.0916096 0.995795i
\(16\) −3.92259 0.783138i −0.980647 0.195785i
\(17\) −0.0389111 + 0.119756i −0.00943734 + 0.0290451i −0.955664 0.294458i \(-0.904861\pi\)
0.946227 + 0.323504i \(0.104861\pi\)
\(18\) −1.89164 3.79759i −0.445863 0.895101i
\(19\) 5.78437 + 1.87945i 1.32702 + 0.431176i 0.884902 0.465778i \(-0.154225\pi\)
0.442123 + 0.896954i \(0.354225\pi\)
\(20\) 4.46579 + 0.238114i 0.998582 + 0.0532438i
\(21\) 1.55015 + 0.213706i 0.338270 + 0.0466345i
\(22\) 0.00300070 + 0.0277239i 0.000639751 + 0.00591076i
\(23\) 4.34613 5.98194i 0.906232 1.24732i −0.0622055 0.998063i \(-0.519813\pi\)
0.968437 0.249258i \(-0.0801866\pi\)
\(24\) 4.29783 2.35131i 0.877291 0.479958i
\(25\) −4.97953 + 0.451980i −0.995906 + 0.0903959i
\(26\) −0.742446 + 3.54689i −0.145606 + 0.695602i
\(27\) 4.76344 + 2.07597i 0.916724 + 0.399521i
\(28\) −0.177743 + 1.79813i −0.0335902 + 0.339814i
\(29\) −6.74343 + 2.19107i −1.25222 + 0.406872i −0.858717 0.512450i \(-0.828738\pi\)
−0.393506 + 0.919322i \(0.628738\pi\)
\(30\) −4.37884 + 3.29025i −0.799463 + 0.600715i
\(31\) −1.78347 0.579484i −0.320321 0.104078i 0.144443 0.989513i \(-0.453861\pi\)
−0.464764 + 0.885435i \(0.653861\pi\)
\(32\) 2.90391 + 4.85462i 0.513344 + 0.858183i
\(33\) −0.0246299 0.0236600i −0.00428752 0.00411868i
\(34\) 0.162456 0.0729335i 0.0278610 0.0125080i
\(35\) −0.0914009 2.01809i −0.0154496 0.341120i
\(36\) −2.18381 + 5.58847i −0.363968 + 0.931411i
\(37\) 2.02683 + 2.78969i 0.333209 + 0.458623i 0.942443 0.334368i \(-0.108523\pi\)
−0.609234 + 0.792991i \(0.708523\pi\)
\(38\) −3.52277 7.84682i −0.571469 1.27292i
\(39\) −2.09389 3.91319i −0.335291 0.626612i
\(40\) −3.99091 4.90639i −0.631018 0.775768i
\(41\) −2.58437 3.55708i −0.403611 0.555523i 0.558035 0.829818i \(-0.311556\pi\)
−0.961646 + 0.274295i \(0.911556\pi\)
\(42\) −1.24796 1.82753i −0.192565 0.281994i
\(43\) 7.15556 1.09121 0.545607 0.838041i \(-0.316299\pi\)
0.545607 + 0.838041i \(0.316299\pi\)
\(44\) 0.0262062 0.0294698i 0.00395074 0.00444275i
\(45\) 1.52106 6.53348i 0.226747 0.973954i
\(46\) −10.3961 + 1.12522i −1.53282 + 0.165905i
\(47\) −5.03956 + 1.63745i −0.735096 + 0.238847i −0.652556 0.757741i \(-0.726303\pi\)
−0.0825400 + 0.996588i \(0.526303\pi\)
\(48\) −6.54522 2.27160i −0.944720 0.327877i
\(49\) −6.18379 −0.883398
\(50\) 5.20196 + 4.78953i 0.735669 + 0.677342i
\(51\) −0.0950924 + 0.196276i −0.0133156 + 0.0274841i
\(52\) 4.42223 2.58981i 0.613253 0.359142i
\(53\) 0.0726282 + 0.223527i 0.00997625 + 0.0307037i 0.955921 0.293625i \(-0.0948616\pi\)
−0.945944 + 0.324329i \(0.894862\pi\)
\(54\) −2.34741 6.96345i −0.319441 0.947606i
\(55\) −0.0242758 + 0.0368067i −0.00327335 + 0.00496301i
\(56\) 2.05327 1.52112i 0.274379 0.203268i
\(57\) 9.48037 + 4.59308i 1.25571 + 0.608368i
\(58\) 8.69949 + 4.98681i 1.14230 + 0.654800i
\(59\) −12.0918 + 8.78519i −1.57422 + 1.14373i −0.651243 + 0.758869i \(0.725752\pi\)
−0.922972 + 0.384866i \(0.874248\pi\)
\(60\) 7.60618 + 1.46493i 0.981954 + 0.189121i
\(61\) 5.52424 + 4.01360i 0.707307 + 0.513889i 0.882304 0.470680i \(-0.155992\pi\)
−0.174997 + 0.984569i \(0.555992\pi\)
\(62\) 1.08616 + 2.41938i 0.137943 + 0.307261i
\(63\) 2.60923 + 0.733363i 0.328732 + 0.0923951i
\(64\) 2.33041 7.65305i 0.291301 0.956632i
\(65\) −4.47828 + 3.57409i −0.555462 + 0.443311i
\(66\) −0.00140931 + 0.0482791i −0.000173475 + 0.00594275i
\(67\) −4.13519 + 12.7268i −0.505194 + 1.55483i 0.295250 + 0.955420i \(0.404597\pi\)
−0.800444 + 0.599407i \(0.795403\pi\)
\(68\) −0.230695 0.101006i −0.0279759 0.0122487i
\(69\) 8.87220 9.23589i 1.06809 1.11187i
\(70\) −2.02824 + 2.01206i −0.242421 + 0.240487i
\(71\) 3.59697 + 11.0703i 0.426881 + 1.31381i 0.901181 + 0.433443i \(0.142701\pi\)
−0.474300 + 0.880363i \(0.657299\pi\)
\(72\) 7.93051 3.01779i 0.934619 0.355650i
\(73\) −3.17175 + 4.36554i −0.371225 + 0.510948i −0.953233 0.302235i \(-0.902267\pi\)
0.582008 + 0.813183i \(0.302267\pi\)
\(74\) 0.999124 4.77311i 0.116146 0.554863i
\(75\) −8.65090 0.402370i −0.998920 0.0464617i
\(76\) −4.87869 + 11.1429i −0.559624 + 1.27817i
\(77\) −0.0144121 0.0104710i −0.00164241 0.00119328i
\(78\) −2.11291 + 5.91020i −0.239240 + 0.669199i
\(79\) −0.586897 + 0.190695i −0.0660311 + 0.0214548i −0.341846 0.939756i \(-0.611052\pi\)
0.275815 + 0.961211i \(0.411052\pi\)
\(80\) −1.35251 + 8.84142i −0.151215 + 0.988501i
\(81\) 7.68215 + 4.68877i 0.853572 + 0.520974i
\(82\) −1.27396 + 6.08610i −0.140686 + 0.672097i
\(83\) 11.0296 + 3.58375i 1.21066 + 0.393367i 0.843672 0.536858i \(-0.180389\pi\)
0.366988 + 0.930226i \(0.380389\pi\)
\(84\) −0.730314 + 3.04322i −0.0796838 + 0.332042i
\(85\) 0.271445 + 0.0748032i 0.0294424 + 0.00811355i
\(86\) −6.79451 7.49925i −0.732671 0.808665i
\(87\) −12.0888 + 2.16436i −1.29606 + 0.232044i
\(88\) −0.0557692 0.000517917i −0.00594502 5.52102e-5i
\(89\) −5.84353 + 8.04293i −0.619413 + 0.852549i −0.997310 0.0732989i \(-0.976647\pi\)
0.377897 + 0.925848i \(0.376647\pi\)
\(90\) −8.29161 + 4.60969i −0.874012 + 0.485904i
\(91\) −1.36071 1.87285i −0.142641 0.196328i
\(92\) 11.0508 + 9.82699i 1.15213 + 1.02453i
\(93\) −2.92304 1.41616i −0.303105 0.146849i
\(94\) 6.50138 + 3.72679i 0.670566 + 0.384389i
\(95\) 3.61308 13.1111i 0.370695 1.34517i
\(96\) 3.83425 + 9.01657i 0.391332 + 0.920250i
\(97\) 12.3121 4.00046i 1.25011 0.406185i 0.392149 0.919902i \(-0.371732\pi\)
0.857960 + 0.513717i \(0.171732\pi\)
\(98\) 5.87177 + 6.48080i 0.593138 + 0.654660i
\(99\) −0.0366638 0.0464225i −0.00368486 0.00466564i
\(100\) 0.0800916 9.99968i 0.00800916 0.999968i
\(101\) 3.98290i 0.396314i −0.980170 0.198157i \(-0.936504\pi\)
0.980170 0.198157i \(-0.0634955\pi\)
\(102\) 0.295998 0.0867126i 0.0293081 0.00858582i
\(103\) −0.978409 3.01123i −0.0964055 0.296705i 0.891212 0.453587i \(-0.149856\pi\)
−0.987617 + 0.156882i \(0.949856\pi\)
\(104\) −6.91330 2.17550i −0.677905 0.213325i
\(105\) 0.320544 3.48431i 0.0312819 0.340034i
\(106\) 0.165299 0.288365i 0.0160553 0.0280084i
\(107\) 8.63326i 0.834609i −0.908767 0.417304i \(-0.862975\pi\)
0.908767 0.417304i \(-0.137025\pi\)
\(108\) −5.06896 + 9.07225i −0.487761 + 0.872977i
\(109\) −9.01184 + 6.54748i −0.863177 + 0.627135i −0.928748 0.370713i \(-0.879113\pi\)
0.0655701 + 0.997848i \(0.479113\pi\)
\(110\) 0.0616255 0.00950770i 0.00587576 0.000906523i
\(111\) 2.81779 + 5.26606i 0.267453 + 0.499832i
\(112\) −3.54384 0.707522i −0.334861 0.0668545i
\(113\) 1.95622 1.42128i 0.184026 0.133703i −0.491958 0.870619i \(-0.663719\pi\)
0.675984 + 0.736916i \(0.263719\pi\)
\(114\) −4.18832 14.2970i −0.392272 1.33904i
\(115\) −13.8020 9.10311i −1.28705 0.848870i
\(116\) −3.03420 13.8525i −0.281718 1.28617i
\(117\) −2.66710 7.20964i −0.246573 0.666532i
\(118\) 20.6888 + 4.33065i 1.90456 + 0.398669i
\(119\) −0.0351541 + 0.108193i −0.00322257 + 0.00991804i
\(120\) −5.68710 9.36252i −0.519159 0.854678i
\(121\) −3.39907 10.4613i −0.309006 0.951023i
\(122\) −1.03913 9.60066i −0.0940782 0.869203i
\(123\) −3.59291 6.71464i −0.323962 0.605439i
\(124\) 1.50423 3.43563i 0.135083 0.308529i
\(125\) 1.51340 + 11.0774i 0.135362 + 0.990796i
\(126\) −1.70899 3.43091i −0.152249 0.305650i
\(127\) −10.5934 7.69654i −0.940011 0.682958i 0.00841253 0.999965i \(-0.497322\pi\)
−0.948423 + 0.317007i \(0.897322\pi\)
\(128\) −10.2335 + 4.82456i −0.904518 + 0.426435i
\(129\) 12.2777 + 1.69262i 1.08099 + 0.149027i
\(130\) 7.99807 + 1.29962i 0.701477 + 0.113985i
\(131\) −5.75685 + 17.7178i −0.502978 + 1.54801i 0.301165 + 0.953572i \(0.402625\pi\)
−0.804143 + 0.594436i \(0.797375\pi\)
\(132\) 0.0519362 0.0443660i 0.00452047 0.00386157i
\(133\) 5.22585 + 1.69798i 0.453139 + 0.147234i
\(134\) 17.2646 7.75084i 1.49144 0.669570i
\(135\) 4.15534 10.8505i 0.357635 0.933861i
\(136\) 0.113198 + 0.337685i 0.00970665 + 0.0289562i
\(137\) −15.8417 + 11.5097i −1.35345 + 0.983338i −0.354617 + 0.935012i \(0.615389\pi\)
−0.998832 + 0.0483266i \(0.984611\pi\)
\(138\) −18.1040 0.528474i −1.54112 0.0449867i
\(139\) 5.11629 7.04197i 0.433958 0.597292i −0.534898 0.844917i \(-0.679650\pi\)
0.968856 + 0.247625i \(0.0796499\pi\)
\(140\) 4.03460 + 0.215122i 0.340986 + 0.0181812i
\(141\) −9.03433 + 1.61749i −0.760828 + 0.136217i
\(142\) 8.18657 14.2815i 0.687002 1.19847i
\(143\) 0.0505258i 0.00422518i
\(144\) −10.6931 5.44590i −0.891091 0.453825i
\(145\) 5.57660 + 14.8417i 0.463111 + 1.23253i
\(146\) 7.58693 0.821172i 0.627899 0.0679606i
\(147\) −10.6103 1.46275i −0.875121 0.120646i
\(148\) −5.95108 + 3.48516i −0.489176 + 0.286478i
\(149\) 20.0993i 1.64660i −0.567606 0.823300i \(-0.692130\pi\)
0.567606 0.823300i \(-0.307870\pi\)
\(150\) 7.79270 + 9.44848i 0.636271 + 0.771465i
\(151\) 6.79426i 0.552909i −0.961027 0.276455i \(-0.910840\pi\)
0.961027 0.276455i \(-0.0891595\pi\)
\(152\) 16.3106 5.46760i 1.32296 0.443481i
\(153\) −0.209590 + 0.314281i −0.0169443 + 0.0254081i
\(154\) 0.00271096 + 0.0250470i 0.000218456 + 0.00201835i
\(155\) −1.11401 + 4.04250i −0.0894792 + 0.324702i
\(156\) 8.20037 3.39760i 0.656555 0.272025i
\(157\) 16.6707i 1.33046i −0.746637 0.665232i \(-0.768333\pi\)
0.746637 0.665232i \(-0.231667\pi\)
\(158\) 0.757138 + 0.434014i 0.0602346 + 0.0345283i
\(159\) 0.0717428 + 0.400712i 0.00568957 + 0.0317785i
\(160\) 10.5504 6.97783i 0.834079 0.551646i
\(161\) 3.92649 5.40435i 0.309451 0.425923i
\(162\) −2.38055 12.5033i −0.187034 0.982353i
\(163\) 1.13970 0.828038i 0.0892679 0.0648570i −0.542256 0.840213i \(-0.682430\pi\)
0.631524 + 0.775356i \(0.282430\pi\)
\(164\) 7.58810 4.44386i 0.592531 0.347007i
\(165\) −0.0503595 + 0.0574114i −0.00392048 + 0.00446947i
\(166\) −6.71723 14.9623i −0.521358 1.16130i
\(167\) −0.226354 0.0735469i −0.0175158 0.00569123i 0.300246 0.953862i \(-0.402931\pi\)
−0.317762 + 0.948171i \(0.602931\pi\)
\(168\) 3.88285 2.12427i 0.299569 0.163891i
\(169\) 1.98827 6.11927i 0.152944 0.470713i
\(170\) −0.179353 0.355512i −0.0137557 0.0272665i
\(171\) 15.1802 + 10.1234i 1.16086 + 0.774159i
\(172\) −1.40778 + 14.2417i −0.107342 + 1.08592i
\(173\) −1.78034 1.29349i −0.135357 0.0983426i 0.518046 0.855352i \(-0.326659\pi\)
−0.653403 + 0.757010i \(0.726659\pi\)
\(174\) 13.7472 + 10.6143i 1.04217 + 0.804668i
\(175\) −4.49873 + 0.408338i −0.340072 + 0.0308675i
\(176\) 0.0534980 + 0.0579561i 0.00403257 + 0.00436861i
\(177\) −22.8254 + 12.2136i −1.71567 + 0.918028i
\(178\) 13.9779 1.51290i 1.04769 0.113397i
\(179\) 2.98700 + 9.19303i 0.223259 + 0.687119i 0.998464 + 0.0554096i \(0.0176465\pi\)
−0.775205 + 0.631710i \(0.782354\pi\)
\(180\) 12.7043 + 4.31276i 0.946925 + 0.321454i
\(181\) −1.94585 + 5.98871i −0.144634 + 0.445137i −0.996964 0.0778674i \(-0.975189\pi\)
0.852330 + 0.523005i \(0.175189\pi\)
\(182\) −0.670759 + 3.20442i −0.0497200 + 0.237527i
\(183\) 8.52922 + 8.19336i 0.630498 + 0.605670i
\(184\) −0.194212 20.9127i −0.0143175 1.54171i
\(185\) 6.02650 4.80972i 0.443077 0.353618i
\(186\) 1.29137 + 4.40815i 0.0946877 + 0.323221i
\(187\) 0.00200871 0.00145941i 0.000146892 0.000106723i
\(188\) −2.26755 10.3524i −0.165378 0.755026i
\(189\) 4.30350 + 1.87552i 0.313034 + 0.136424i
\(190\) −17.1717 + 8.66295i −1.24576 + 0.628477i
\(191\) 15.1282 10.9913i 1.09464 0.795303i 0.114464 0.993427i \(-0.463485\pi\)
0.980177 + 0.198124i \(0.0634849\pi\)
\(192\) 5.80886 12.5800i 0.419218 0.907885i
\(193\) 19.5438i 1.40679i −0.710798 0.703396i \(-0.751666\pi\)
0.710798 0.703396i \(-0.248334\pi\)
\(194\) −15.8835 9.10490i −1.14037 0.653694i
\(195\) −8.52936 + 5.07319i −0.610800 + 0.363298i
\(196\) 1.21659 12.3076i 0.0868994 0.879114i
\(197\) 1.38996 + 4.27787i 0.0990308 + 0.304785i 0.988283 0.152631i \(-0.0487747\pi\)
−0.889252 + 0.457417i \(0.848775\pi\)
\(198\) −0.0138384 + 0.0825050i −0.000983449 + 0.00586337i
\(199\) 19.0412i 1.34979i 0.737912 + 0.674897i \(0.235812\pi\)
−0.737912 + 0.674897i \(0.764188\pi\)
\(200\) −10.5560 + 9.41118i −0.746424 + 0.665471i
\(201\) −10.1057 + 20.8588i −0.712803 + 1.47127i
\(202\) −4.17421 + 3.78193i −0.293696 + 0.266096i
\(203\) −6.09231 + 1.97951i −0.427597 + 0.138935i
\(204\) −0.371940 0.227878i −0.0260410 0.0159546i
\(205\) −7.68427 + 6.13278i −0.536693 + 0.428332i
\(206\) −2.22682 + 3.88469i −0.155150 + 0.270659i
\(207\) 17.4078 13.7485i 1.20993 0.955584i
\(208\) 4.28448 + 9.31108i 0.297075 + 0.645608i
\(209\) −0.0704915 0.0970232i −0.00487600 0.00671123i
\(210\) −3.95604 + 2.97256i −0.272993 + 0.205126i
\(211\) −6.36569 + 8.76162i −0.438232 + 0.603175i −0.969818 0.243829i \(-0.921596\pi\)
0.531586 + 0.847004i \(0.321596\pi\)
\(212\) −0.459174 + 0.100576i −0.0315362 + 0.00690755i
\(213\) 3.55312 + 19.8456i 0.243456 + 1.35980i
\(214\) −9.04793 + 8.19765i −0.618504 + 0.560380i
\(215\) −0.723923 15.9839i −0.0493712 1.09010i
\(216\) 14.3212 3.30206i 0.974433 0.224677i
\(217\) −1.61127 0.523532i −0.109380 0.0355397i
\(218\) 15.4191 + 3.22757i 1.04431 + 0.218599i
\(219\) −6.47481 + 6.74023i −0.437527 + 0.455462i
\(220\) −0.0684804 0.0555575i −0.00461695 0.00374568i
\(221\) 0.306861 0.0997053i 0.0206417 0.00670691i
\(222\) 2.84338 7.95348i 0.190835 0.533802i
\(223\) −14.2795 10.3746i −0.956224 0.694738i −0.00395365 0.999992i \(-0.501258\pi\)
−0.952271 + 0.305254i \(0.901258\pi\)
\(224\) 2.62352 + 4.38588i 0.175291 + 0.293044i
\(225\) −14.7482 2.73673i −0.983215 0.182449i
\(226\) −3.34706 0.700617i −0.222643 0.0466043i
\(227\) −1.59211 + 2.19135i −0.105672 + 0.145445i −0.858578 0.512683i \(-0.828651\pi\)
0.752906 + 0.658128i \(0.228651\pi\)
\(228\) −11.0068 + 17.9651i −0.728940 + 1.18977i
\(229\) 2.95113 + 9.08265i 0.195016 + 0.600199i 0.999976 + 0.00686958i \(0.00218667\pi\)
−0.804960 + 0.593329i \(0.797813\pi\)
\(230\) 3.56526 + 23.1087i 0.235086 + 1.52375i
\(231\) −0.0222517 0.0213755i −0.00146406 0.00140641i
\(232\) −11.6368 + 16.3335i −0.763991 + 1.07235i
\(233\) 7.82413 24.0802i 0.512576 1.57755i −0.275074 0.961423i \(-0.588702\pi\)
0.787650 0.616123i \(-0.211298\pi\)
\(234\) −5.02341 + 9.64106i −0.328390 + 0.630256i
\(235\) 4.16756 + 11.0916i 0.271861 + 0.723537i
\(236\) −15.1062 25.7947i −0.983333 1.67909i
\(237\) −1.05212 + 0.188370i −0.0683425 + 0.0122359i
\(238\) 0.146770 0.0658913i 0.00951368 0.00427110i
\(239\) 2.53026 + 1.83834i 0.163669 + 0.118912i 0.666605 0.745411i \(-0.267747\pi\)
−0.502936 + 0.864324i \(0.667747\pi\)
\(240\) −4.41207 + 14.8504i −0.284798 + 0.958588i
\(241\) 16.2078 11.7757i 1.04404 0.758539i 0.0729691 0.997334i \(-0.476753\pi\)
0.971070 + 0.238795i \(0.0767525\pi\)
\(242\) −7.73616 + 13.4957i −0.497299 + 0.867538i
\(243\) 12.0721 + 9.86227i 0.774426 + 0.632665i
\(244\) −9.07510 + 10.2053i −0.580974 + 0.653326i
\(245\) 0.625610 + 13.8132i 0.0399687 + 0.882494i
\(246\) −3.62553 + 10.1413i −0.231156 + 0.646587i
\(247\) −4.81589 14.8218i −0.306427 0.943087i
\(248\) −5.02898 + 1.68580i −0.319340 + 0.107049i
\(249\) 18.0772 + 8.75809i 1.14559 + 0.555021i
\(250\) 10.1725 12.1046i 0.643363 0.765561i
\(251\) −10.7667 −0.679590 −0.339795 0.940499i \(-0.610358\pi\)
−0.339795 + 0.940499i \(0.610358\pi\)
\(252\) −1.97295 + 5.04887i −0.124284 + 0.318049i
\(253\) −0.138663 + 0.0450542i −0.00871764 + 0.00283253i
\(254\) 1.99265 + 18.4104i 0.125030 + 1.15517i
\(255\) 0.448058 + 0.192558i 0.0280585 + 0.0120585i
\(256\) 14.7734 + 6.14386i 0.923337 + 0.383991i
\(257\) −10.3946 −0.648396 −0.324198 0.945989i \(-0.605094\pi\)
−0.324198 + 0.945989i \(0.605094\pi\)
\(258\) −9.88425 14.4746i −0.615367 0.901149i
\(259\) 1.83113 + 2.52033i 0.113781 + 0.156606i
\(260\) −6.23246 9.61628i −0.386521 0.596376i
\(261\) −21.2542 + 0.854101i −1.31560 + 0.0528675i
\(262\) 24.0351 10.7904i 1.48490 0.666633i
\(263\) −5.84833 8.04953i −0.360623 0.496355i 0.589699 0.807623i \(-0.299246\pi\)
−0.950322 + 0.311268i \(0.899246\pi\)
\(264\) −0.0958126 0.0123033i −0.00589686 0.000757218i
\(265\) 0.491961 0.184849i 0.0302209 0.0113552i
\(266\) −3.18263 7.08916i −0.195140 0.434664i
\(267\) −11.9290 + 12.4180i −0.730042 + 0.759968i
\(268\) −24.5166 10.7341i −1.49759 0.655691i
\(269\) 17.1210 + 5.56295i 1.04389 + 0.339179i 0.780266 0.625448i \(-0.215084\pi\)
0.263619 + 0.964627i \(0.415084\pi\)
\(270\) −15.3173 + 5.94807i −0.932183 + 0.361988i
\(271\) 31.0279 10.0816i 1.88481 0.612412i 0.900819 0.434195i \(-0.142967\pi\)
0.983991 0.178217i \(-0.0570328\pi\)
\(272\) 0.246418 0.439281i 0.0149413 0.0266353i
\(273\) −1.89172 3.53535i −0.114492 0.213969i
\(274\) 27.1049 + 5.67368i 1.63747 + 0.342760i
\(275\) 0.0846740 + 0.0505031i 0.00510603 + 0.00304545i
\(276\) 16.6367 + 19.4754i 1.00141 + 1.17228i
\(277\) 8.71863 12.0002i 0.523852 0.721020i −0.462326 0.886710i \(-0.652985\pi\)
0.986178 + 0.165690i \(0.0529851\pi\)
\(278\) −12.2383 + 1.32462i −0.734007 + 0.0794452i
\(279\) −4.68043 3.12132i −0.280210 0.186869i
\(280\) −3.60556 4.43265i −0.215474 0.264901i
\(281\) 3.16219 + 1.02746i 0.188640 + 0.0612929i 0.401814 0.915721i \(-0.368380\pi\)
−0.213173 + 0.977014i \(0.568380\pi\)
\(282\) 10.2737 + 7.93238i 0.611787 + 0.472366i
\(283\) 0.507133 1.56079i 0.0301459 0.0927796i −0.934852 0.355039i \(-0.884468\pi\)
0.964997 + 0.262259i \(0.0844676\pi\)
\(284\) −22.7409 + 4.98108i −1.34943 + 0.295573i
\(285\) 9.30079 21.6417i 0.550931 1.28194i
\(286\) 0.0529526 0.0479763i 0.00313115 0.00283690i
\(287\) −2.33484 3.21362i −0.137821 0.189694i
\(288\) 4.44606 + 16.3778i 0.261987 + 0.965071i
\(289\) 13.7405 + 9.98303i 0.808262 + 0.587237i
\(290\) 10.2593 19.9372i 0.602447 1.17075i
\(291\) 22.0717 3.95169i 1.29387 0.231652i
\(292\) −8.06473 7.17161i −0.471953 0.419687i
\(293\) 16.5822 0.968744 0.484372 0.874862i \(-0.339048\pi\)
0.484372 + 0.874862i \(0.339048\pi\)
\(294\) 8.54190 + 12.5088i 0.498174 + 0.729531i
\(295\) 20.8475 + 26.1216i 1.21379 + 1.52086i
\(296\) 9.30336 + 2.92761i 0.540747 + 0.170164i
\(297\) −0.0519276 0.0883254i −0.00301314 0.00512516i
\(298\) −21.0647 + 19.0852i −1.22025 + 1.10557i
\(299\) −18.9465 −1.09570
\(300\) 2.50281 17.1387i 0.144500 0.989505i
\(301\) 6.46465 0.372616
\(302\) −7.12060 + 6.45144i −0.409744 + 0.371239i
\(303\) 0.942139 6.83395i 0.0541245 0.392600i
\(304\) −21.2178 11.9023i −1.21692 0.682643i
\(305\) 8.40660 12.7460i 0.481361 0.729833i
\(306\) 0.528391 0.0787663i 0.0302061 0.00450277i
\(307\) 21.4016 1.22146 0.610728 0.791841i \(-0.290877\pi\)
0.610728 + 0.791841i \(0.290877\pi\)
\(308\) 0.0236759 0.0266244i 0.00134906 0.00151706i
\(309\) −0.966481 5.39818i −0.0549812 0.307092i
\(310\) 5.29446 2.67101i 0.300705 0.151703i
\(311\) −16.3800 11.9008i −0.928824 0.674830i 0.0168804 0.999858i \(-0.494627\pi\)
−0.945705 + 0.325027i \(0.894627\pi\)
\(312\) −11.3474 5.36809i −0.642419 0.303908i
\(313\) −15.2080 20.9320i −0.859608 1.18315i −0.981663 0.190626i \(-0.938948\pi\)
0.122054 0.992523i \(-0.461052\pi\)
\(314\) −17.4714 + 15.8295i −0.985966 + 0.893310i
\(315\) 1.37420 5.90264i 0.0774272 0.332576i
\(316\) −0.264074 1.20562i −0.0148553 0.0678214i
\(317\) −3.37828 + 10.3973i −0.189743 + 0.583969i −0.999998 0.00210901i \(-0.999329\pi\)
0.810255 + 0.586078i \(0.199329\pi\)
\(318\) 0.351836 0.455681i 0.0197300 0.0255533i
\(319\) 0.132969 + 0.0432041i 0.00744482 + 0.00241897i
\(320\) −17.3310 4.43135i −0.968832 0.247720i
\(321\) 2.04216 14.8131i 0.113982 0.826789i
\(322\) −9.39230 + 1.01658i −0.523412 + 0.0566515i
\(323\) −0.450153 + 0.619582i −0.0250472 + 0.0344745i
\(324\) −10.8434 + 14.3673i −0.602413 + 0.798185i
\(325\) 8.43679 + 9.64189i 0.467989 + 0.534836i
\(326\) −1.95000 0.408181i −0.108001 0.0226070i
\(327\) −17.0115 + 9.10260i −0.940738 + 0.503375i
\(328\) −11.8625 3.73294i −0.654998 0.206117i
\(329\) −4.55297 + 1.47935i −0.251013 + 0.0815591i
\(330\) 0.107987 0.00173627i 0.00594451 9.55785e-5i
\(331\) 4.95255 + 1.60918i 0.272217 + 0.0884485i 0.441944 0.897042i \(-0.354289\pi\)
−0.169728 + 0.985491i \(0.554289\pi\)
\(332\) −9.30269 + 21.2472i −0.510551 + 1.16609i
\(333\) 3.58916 + 9.70215i 0.196685 + 0.531675i
\(334\) 0.137853 + 0.307062i 0.00754299 + 0.0168017i
\(335\) 28.8472 + 7.94954i 1.57609 + 0.434330i
\(336\) −5.91324 2.05226i −0.322594 0.111960i
\(337\) 1.67846 + 2.31020i 0.0914314 + 0.125845i 0.852282 0.523082i \(-0.175218\pi\)
−0.760851 + 0.648927i \(0.775218\pi\)
\(338\) −8.30114 + 3.72674i −0.451522 + 0.202708i
\(339\) 3.69272 1.97592i 0.200561 0.107317i
\(340\) −0.202285 + 0.525541i −0.0109704 + 0.0285015i
\(341\) 0.0217343 + 0.0299148i 0.00117698 + 0.00161997i
\(342\) −3.80451 25.5219i −0.205724 1.38007i
\(343\) −11.9108 −0.643124
\(344\) 16.2625 12.0477i 0.876816 0.649569i
\(345\) −21.5285 18.8841i −1.15906 1.01669i
\(346\) 0.334888 + 3.09408i 0.0180037 + 0.166339i
\(347\) −8.19771 + 2.66360i −0.440076 + 0.142989i −0.520671 0.853757i \(-0.674318\pi\)
0.0805945 + 0.996747i \(0.474318\pi\)
\(348\) −1.92939 24.4862i −0.103426 1.31260i
\(349\) −33.7741 −1.80789 −0.903944 0.427652i \(-0.859341\pi\)
−0.903944 + 0.427652i \(0.859341\pi\)
\(350\) 4.69968 + 4.32707i 0.251209 + 0.231292i
\(351\) −2.87086 13.0014i −0.153235 0.693961i
\(352\) 0.00994116 0.111099i 0.000529866 0.00592162i
\(353\) 3.85991 + 11.8796i 0.205442 + 0.632287i 0.999695 + 0.0246990i \(0.00786273\pi\)
−0.794252 + 0.607588i \(0.792137\pi\)
\(354\) 34.4739 + 12.3245i 1.83227 + 0.655039i
\(355\) 24.3647 9.15480i 1.29315 0.485887i
\(356\) −14.8582 13.2127i −0.787483 0.700273i
\(357\) −0.0859107 + 0.177324i −0.00454688 + 0.00938501i
\(358\) 6.79830 11.8596i 0.359301 0.626801i
\(359\) 16.0992 11.6967i 0.849681 0.617329i −0.0753771 0.997155i \(-0.524016\pi\)
0.925058 + 0.379826i \(0.124016\pi\)
\(360\) −7.54339 17.4097i −0.397572 0.917571i
\(361\) 14.5552 + 10.5750i 0.766064 + 0.556578i
\(362\) 8.12402 3.64722i 0.426989 0.191694i
\(363\) −3.35763 18.7537i −0.176230 0.984313i
\(364\) 3.99524 2.33975i 0.209408 0.122636i
\(365\) 10.0725 + 6.64333i 0.527220 + 0.347728i
\(366\) 0.488039 16.7188i 0.0255102 0.873907i
\(367\) −1.36020 + 4.18628i −0.0710021 + 0.218522i −0.980261 0.197710i \(-0.936650\pi\)
0.909258 + 0.416232i \(0.136650\pi\)
\(368\) −21.7328 + 20.0611i −1.13290 + 1.04576i
\(369\) −4.57647 12.3710i −0.238242 0.644009i
\(370\) −10.7632 1.74893i −0.559550 0.0909225i
\(371\) 0.0656155 + 0.201944i 0.00340659 + 0.0104844i
\(372\) 3.39367 5.53912i 0.175953 0.287190i
\(373\) −14.4746 + 19.9225i −0.749465 + 1.03155i 0.248553 + 0.968618i \(0.420045\pi\)
−0.998018 + 0.0629317i \(0.979955\pi\)
\(374\) −0.00343687 0.000719417i −0.000177716 3.72002e-5i
\(375\) −0.0236002 + 19.3649i −0.00121871 + 0.999999i
\(376\) −8.69650 + 12.2065i −0.448488 + 0.629502i
\(377\) 14.6986 + 10.6792i 0.757017 + 0.550005i
\(378\) −2.12075 6.29109i −0.109080 0.323579i
\(379\) −10.0824 + 3.27597i −0.517898 + 0.168275i −0.556291 0.830987i \(-0.687776\pi\)
0.0383930 + 0.999263i \(0.487776\pi\)
\(380\) 25.3843 + 9.77059i 1.30218 + 0.501221i
\(381\) −16.3558 15.7117i −0.837932 0.804936i
\(382\) −25.8841 5.41815i −1.32435 0.277217i
\(383\) 11.6263 + 3.77762i 0.594077 + 0.193027i 0.590597 0.806967i \(-0.298892\pi\)
0.00347997 + 0.999994i \(0.498892\pi\)
\(384\) −18.7000 + 5.85740i −0.954281 + 0.298909i
\(385\) −0.0219319 + 0.0332528i −0.00111775 + 0.00169472i
\(386\) −20.4825 + 18.5576i −1.04253 + 0.944559i
\(387\) 20.6659 + 5.80847i 1.05051 + 0.295261i
\(388\) 5.53983 + 25.2919i 0.281242 + 1.28400i
\(389\) −5.49021 + 7.55662i −0.278365 + 0.383136i −0.925191 0.379501i \(-0.876096\pi\)
0.646827 + 0.762637i \(0.276096\pi\)
\(390\) 13.4158 + 4.12183i 0.679338 + 0.208717i
\(391\) 0.547261 + 0.753241i 0.0276762 + 0.0380930i
\(392\) −14.0539 + 10.4116i −0.709831 + 0.525863i
\(393\) −14.0688 + 29.0388i −0.709677 + 1.46481i
\(394\) 3.16351 5.51874i 0.159375 0.278030i
\(395\) 0.485345 + 1.29171i 0.0244204 + 0.0649928i
\(396\) 0.0996079 0.0638389i 0.00500549 0.00320803i
\(397\) −22.3012 + 7.24611i −1.11927 + 0.363672i −0.809488 0.587136i \(-0.800255\pi\)
−0.309779 + 0.950808i \(0.600255\pi\)
\(398\) 19.9558 18.0804i 1.00029 0.906289i
\(399\) 8.56498 + 4.14959i 0.428786 + 0.207739i
\(400\) 19.8866 + 2.12673i 0.994330 + 0.106337i
\(401\) 16.8545i 0.841674i −0.907136 0.420837i \(-0.861736\pi\)
0.907136 0.420837i \(-0.138264\pi\)
\(402\) 31.4565 9.21518i 1.56891 0.459611i
\(403\) 1.48486 + 4.56994i 0.0739662 + 0.227645i
\(404\) 7.92717 + 0.783591i 0.394391 + 0.0389851i
\(405\) 9.69647 17.6346i 0.481821 0.876269i
\(406\) 7.85950 + 4.50530i 0.390060 + 0.223594i
\(407\) 0.0679935i 0.00337031i
\(408\) 0.114350 + 0.606184i 0.00566116 + 0.0300106i
\(409\) −0.595598 + 0.432727i −0.0294504 + 0.0213970i −0.602413 0.798184i \(-0.705794\pi\)
0.572963 + 0.819581i \(0.305794\pi\)
\(410\) 13.7239 + 2.23002i 0.677774 + 0.110133i
\(411\) −29.9041 + 16.0013i −1.47506 + 0.789284i
\(412\) 6.18575 1.35490i 0.304750 0.0667511i
\(413\) −10.9243 + 7.93693i −0.537547 + 0.390551i
\(414\) −30.9383 5.18920i −1.52053 0.255035i
\(415\) 6.88943 25.0003i 0.338189 1.22722i
\(416\) 5.69001 13.3315i 0.278976 0.653632i
\(417\) 10.4444 10.8725i 0.511464 0.532430i
\(418\) −0.0347487 + 0.166005i −0.00169961 + 0.00811956i
\(419\) 3.53463 10.8785i 0.172678 0.531449i −0.826842 0.562435i \(-0.809865\pi\)
0.999520 + 0.0309860i \(0.00986473\pi\)
\(420\) 6.87176 + 1.32348i 0.335308 + 0.0645791i
\(421\) 8.05515 + 24.7912i 0.392584 + 1.20825i 0.930827 + 0.365460i \(0.119088\pi\)
−0.538243 + 0.842789i \(0.680912\pi\)
\(422\) 15.2269 1.64809i 0.741236 0.0802277i
\(423\) −15.8839 + 0.638295i −0.772302 + 0.0310349i
\(424\) 0.541411 + 0.385728i 0.0262932 + 0.0187326i
\(425\) 0.139632 0.613916i 0.00677314 0.0297793i
\(426\) 17.4249 22.5680i 0.844241 1.09342i
\(427\) 4.99085 + 3.62606i 0.241524 + 0.175477i
\(428\) 17.1828 + 1.69850i 0.830561 + 0.0821000i
\(429\) −0.0119517 + 0.0866932i −0.000577032 + 0.00418559i
\(430\) −16.0643 + 15.9361i −0.774688 + 0.768508i
\(431\) 4.88985 15.0494i 0.235536 0.724905i −0.761514 0.648149i \(-0.775544\pi\)
0.997050 0.0767566i \(-0.0244564\pi\)
\(432\) −17.0592 11.8736i −0.820763 0.571269i
\(433\) −16.6030 5.39465i −0.797891 0.259251i −0.118430 0.992962i \(-0.537786\pi\)
−0.679461 + 0.733712i \(0.737786\pi\)
\(434\) 0.981287 + 2.18577i 0.0471033 + 0.104920i
\(435\) 6.05772 + 26.7848i 0.290446 + 1.28423i
\(436\) −11.2585 19.2244i −0.539183 0.920682i
\(437\) 36.3824 26.4334i 1.74041 1.26448i
\(438\) 13.2121 + 0.385673i 0.631297 + 0.0184282i
\(439\) −13.5607 + 18.6647i −0.647217 + 0.890817i −0.998975 0.0452738i \(-0.985584\pi\)
0.351758 + 0.936091i \(0.385584\pi\)
\(440\) 0.00679905 + 0.124524i 0.000324132 + 0.00593644i
\(441\) −17.8593 5.01964i −0.850445 0.239030i
\(442\) −0.395872 0.226926i −0.0188297 0.0107938i
\(443\) 1.64428i 0.0781221i −0.999237 0.0390611i \(-0.987563\pi\)
0.999237 0.0390611i \(-0.0124367\pi\)
\(444\) −11.0354 + 4.57221i −0.523717 + 0.216988i
\(445\) 18.5573 + 12.2395i 0.879701 + 0.580206i
\(446\) 2.68601 + 24.8165i 0.127186 + 1.17510i
\(447\) 4.75441 34.4869i 0.224876 1.63117i
\(448\) 2.10539 6.91411i 0.0994704 0.326661i
\(449\) 2.49959i 0.117963i 0.998259 + 0.0589815i \(0.0187853\pi\)
−0.998259 + 0.0589815i \(0.981215\pi\)
\(450\) 11.1359 + 18.0552i 0.524951 + 0.851133i
\(451\) 0.0866971i 0.00408241i
\(452\) 2.44390 + 4.17309i 0.114952 + 0.196285i
\(453\) 1.60715 11.6577i 0.0755107 0.547729i
\(454\) 3.80837 0.412199i 0.178736 0.0193455i
\(455\) −4.04587 + 3.22899i −0.189674 + 0.151377i
\(456\) 29.2794 5.52323i 1.37113 0.258649i
\(457\) 18.0114i 0.842540i −0.906935 0.421270i \(-0.861585\pi\)
0.906935 0.421270i \(-0.138415\pi\)
\(458\) 6.71668 11.7172i 0.313850 0.547511i
\(459\) −0.433961 + 0.489673i −0.0202556 + 0.0228560i
\(460\) 20.8333 25.6792i 0.971358 1.19730i
\(461\) −5.38319 + 7.40933i −0.250720 + 0.345087i −0.915763 0.401718i \(-0.868413\pi\)
0.665043 + 0.746805i \(0.268413\pi\)
\(462\) −0.00127324 + 0.0436175i −5.92363e−5 + 0.00202927i
\(463\) −24.9238 + 18.1082i −1.15831 + 0.841560i −0.989563 0.144099i \(-0.953971\pi\)
−0.168745 + 0.985660i \(0.553971\pi\)
\(464\) 28.1676 3.31364i 1.30765 0.153832i
\(465\) −2.86768 + 6.67270i −0.132985 + 0.309439i
\(466\) −32.6661 + 14.6652i −1.51323 + 0.679354i
\(467\) 29.8438 + 9.69684i 1.38101 + 0.448716i 0.903000 0.429640i \(-0.141360\pi\)
0.478006 + 0.878356i \(0.341360\pi\)
\(468\) 14.8741 3.88991i 0.687554 0.179811i
\(469\) −3.73592 + 11.4980i −0.172509 + 0.530927i
\(470\) 7.66708 14.8997i 0.353656 0.687271i
\(471\) 3.94337 28.6039i 0.181701 1.31800i
\(472\) −12.6896 + 40.3249i −0.584086 + 1.85611i
\(473\) −0.114148 0.0829337i −0.00524855 0.00381329i
\(474\) 1.19645 + 0.923789i 0.0549547 + 0.0424310i
\(475\) −29.6529 6.74438i −1.36057 0.309454i
\(476\) −0.208420 0.0912529i −0.00955294 0.00418257i
\(477\) 0.0283111 + 0.704521i 0.00129628 + 0.0322578i
\(478\) −0.475949 4.39737i −0.0217694 0.201131i
\(479\) 6.50371 + 20.0164i 0.297162 + 0.914571i 0.982487 + 0.186333i \(0.0596605\pi\)
−0.685324 + 0.728238i \(0.740340\pi\)
\(480\) 19.7531 9.47707i 0.901602 0.432567i
\(481\) 2.73040 8.40329i 0.124495 0.383157i
\(482\) −27.7313 5.80481i −1.26313 0.264402i
\(483\) 8.01554 8.34411i 0.364720 0.379670i
\(484\) 21.4898 4.70703i 0.976807 0.213956i
\(485\) −10.1817 27.0979i −0.462329 1.23045i
\(486\) −1.12700 22.0166i −0.0511218 0.998692i
\(487\) 0.303633 0.220602i 0.0137589 0.00999644i −0.580885 0.813986i \(-0.697293\pi\)
0.594643 + 0.803990i \(0.297293\pi\)
\(488\) 19.3126 0.179352i 0.874242 0.00811890i
\(489\) 2.15139 1.15118i 0.0972890 0.0520580i
\(490\) 13.8826 13.7719i 0.627153 0.622150i
\(491\) 24.7225 17.9619i 1.11571 0.810611i 0.132157 0.991229i \(-0.457810\pi\)
0.983553 + 0.180618i \(0.0578098\pi\)
\(492\) 14.0710 5.82993i 0.634370 0.262834i
\(493\) 0.892824i 0.0402108i
\(494\) −10.9608 + 19.1211i −0.493149 + 0.860299i
\(495\) −0.0999883 + 0.0865954i −0.00449414 + 0.00389218i
\(496\) 6.54200 + 3.66978i 0.293744 + 0.164778i
\(497\) 3.24966 + 10.0014i 0.145767 + 0.448625i
\(498\) −7.98630 27.2616i −0.357875 1.22162i
\(499\) 17.3077i 0.774800i −0.921912 0.387400i \(-0.873373\pi\)
0.921912 0.387400i \(-0.126627\pi\)
\(500\) −22.3452 + 0.832754i −0.999306 + 0.0372419i
\(501\) −0.370986 0.179736i −0.0165744 0.00803003i
\(502\) 10.2235 + 11.2839i 0.456296 + 0.503624i
\(503\) −16.2862 + 5.29171i −0.726167 + 0.235946i −0.648695 0.761049i \(-0.724685\pi\)
−0.0774719 + 0.996995i \(0.524685\pi\)
\(504\) 7.16477 2.72640i 0.319144 0.121444i
\(505\) −8.89692 + 0.402948i −0.395908 + 0.0179309i
\(506\) 0.178884 + 0.102542i 0.00795237 + 0.00455854i
\(507\) 4.85901 10.0293i 0.215796 0.445415i
\(508\) 17.4026 19.5698i 0.772114 0.868269i
\(509\) −9.86230 13.5743i −0.437139 0.601670i 0.532435 0.846471i \(-0.321277\pi\)
−0.969573 + 0.244801i \(0.921277\pi\)
\(510\) −0.223643 0.652421i −0.00990306 0.0288897i
\(511\) −2.86550 + 3.94402i −0.126762 + 0.174473i
\(512\) −7.58900 21.3168i −0.335390 0.942079i
\(513\) 23.6518 + 20.9608i 1.04425 + 0.925443i
\(514\) 9.87009 + 10.8938i 0.435351 + 0.480506i
\(515\) −6.62744 + 2.49019i −0.292040 + 0.109731i
\(516\) −5.78431 + 24.1033i −0.254640 + 1.06109i
\(517\) 0.0993714 + 0.0322877i 0.00437035 + 0.00142001i
\(518\) 0.902653 4.31224i 0.0396603 0.189469i
\(519\) −2.74878 2.64054i −0.120658 0.115907i
\(520\) −4.16017 + 15.6629i −0.182436 + 0.686862i
\(521\) −3.18214 + 1.03394i −0.139412 + 0.0452978i −0.377892 0.925850i \(-0.623351\pi\)
0.238480 + 0.971147i \(0.423351\pi\)
\(522\) 21.0769 + 21.4641i 0.922512 + 0.939458i
\(523\) 18.8424 + 13.6898i 0.823922 + 0.598614i 0.917833 0.396966i \(-0.129937\pi\)
−0.0939114 + 0.995581i \(0.529937\pi\)
\(524\) −34.1311 14.9436i −1.49102 0.652815i
\(525\) −7.81561 0.363519i −0.341101 0.0158653i
\(526\) −2.88293 + 13.7726i −0.125702 + 0.600514i
\(527\) 0.138794 0.191033i 0.00604595 0.00832153i
\(528\) 0.0780839 + 0.112097i 0.00339816 + 0.00487840i
\(529\) −9.78734 30.1223i −0.425537 1.30967i
\(530\) −0.660866 0.340068i −0.0287062 0.0147716i
\(531\) −42.0535 + 15.5571i −1.82497 + 0.675118i
\(532\) −4.40762 + 10.0670i −0.191095 + 0.436458i
\(533\) −3.48147 + 10.7149i −0.150799 + 0.464112i
\(534\) 24.3415 + 0.710552i 1.05336 + 0.0307486i
\(535\) −19.2848 + 0.873421i −0.833754 + 0.0377613i
\(536\) 12.0299 + 35.8867i 0.519611 + 1.55007i
\(537\) 2.95058 + 16.4802i 0.127327 + 0.711171i
\(538\) −10.4270 23.2256i −0.449538 1.00133i
\(539\) 0.0986463 + 0.0716707i 0.00424900 + 0.00308708i
\(540\) 20.7782 + 10.4051i 0.894152 + 0.447764i
\(541\) −18.7572 + 13.6279i −0.806435 + 0.585909i −0.912795 0.408418i \(-0.866080\pi\)
0.106360 + 0.994328i \(0.466080\pi\)
\(542\) −40.0281 22.9453i −1.71935 0.985586i
\(543\) −4.75534 + 9.81528i −0.204071 + 0.421214i
\(544\) −0.694365 + 0.158862i −0.0297706 + 0.00681117i
\(545\) 15.5373 + 19.4680i 0.665547 + 0.833919i
\(546\) −1.90889 + 5.33954i −0.0816931 + 0.228511i
\(547\) −9.29791 28.6160i −0.397550 1.22353i −0.926958 0.375166i \(-0.877586\pi\)
0.529408 0.848367i \(-0.322414\pi\)
\(548\) −19.7910 33.7942i −0.845431 1.44362i
\(549\) 12.6965 + 16.0759i 0.541874 + 0.686103i
\(550\) −0.0274727 0.136696i −0.00117144 0.00582873i
\(551\) −43.1245 −1.83716
\(552\) 4.61359 35.9285i 0.196367 1.52922i
\(553\) −0.530229 + 0.172282i −0.0225476 + 0.00732617i
\(554\) −20.8553 + 2.25727i −0.886055 + 0.0959021i
\(555\) 11.4781 6.82708i 0.487219 0.289794i
\(556\) 13.0091 + 11.5684i 0.551707 + 0.490609i
\(557\) 0.414052 0.0175439 0.00877197 0.999962i \(-0.497208\pi\)
0.00877197 + 0.999962i \(0.497208\pi\)
\(558\) 1.17303 + 7.86907i 0.0496582 + 0.333124i
\(559\) −10.7772 14.8336i −0.455828 0.627393i
\(560\) −1.22192 + 7.98773i −0.0516355 + 0.337543i
\(561\) 0.00379181 0.00202894i 0.000160090 8.56621e-5i
\(562\) −1.92582 4.28968i −0.0812359 0.180949i
\(563\) −9.46697 13.0302i −0.398985 0.549156i 0.561504 0.827474i \(-0.310223\pi\)
−0.960489 + 0.278318i \(0.910223\pi\)
\(564\) −1.44189 18.2992i −0.0607145 0.770537i
\(565\) −3.37273 4.22597i −0.141892 0.177788i
\(566\) −2.11731 + 0.950549i −0.0889970 + 0.0399546i
\(567\) 6.94040 + 4.23604i 0.291469 + 0.177897i
\(568\) 26.8138 + 19.1035i 1.12508 + 0.801563i
\(569\) 1.80110 + 0.585212i 0.0755060 + 0.0245334i 0.346526 0.938040i \(-0.387361\pi\)
−0.271020 + 0.962574i \(0.587361\pi\)
\(570\) −31.5127 + 10.8022i −1.31992 + 0.452454i
\(571\) −10.6321 + 3.45456i −0.444938 + 0.144569i −0.522913 0.852386i \(-0.675155\pi\)
0.0779750 + 0.996955i \(0.475155\pi\)
\(572\) −0.100561 0.00994038i −0.00420468 0.000415628i
\(573\) 28.5573 15.2806i 1.19300 0.638357i
\(574\) −1.15095 + 5.49845i −0.0480399 + 0.229501i
\(575\) −18.9380 + 31.7516i −0.789769 + 1.32413i
\(576\) 12.9427 20.2110i 0.539280 0.842126i
\(577\) 1.14715 1.57892i 0.0477566 0.0657313i −0.784471 0.620166i \(-0.787065\pi\)
0.832227 + 0.554434i \(0.187065\pi\)
\(578\) −2.58462 23.8797i −0.107506 0.993266i
\(579\) 4.62300 33.5337i 0.192125 1.39361i
\(580\) −30.6365 + 8.17918i −1.27211 + 0.339622i
\(581\) 9.96467 + 3.23772i 0.413404 + 0.134323i
\(582\) −25.0995 19.3796i −1.04041 0.803309i
\(583\) 0.00143210 0.00440755i 5.93116e−5 0.000182542i
\(584\) 0.141733 + 15.2618i 0.00586497 + 0.631539i
\(585\) −15.8349 + 6.68710i −0.654693 + 0.276478i
\(586\) −15.7455 17.3787i −0.650441 0.717907i
\(587\) 9.14257 + 12.5837i 0.377354 + 0.519384i 0.954881 0.296988i \(-0.0959822\pi\)
−0.577527 + 0.816372i \(0.695982\pi\)
\(588\) 4.99876 20.8299i 0.206146 0.859009i
\(589\) −9.22713 6.70390i −0.380197 0.276229i
\(590\) 7.58064 46.6524i 0.312090 1.92065i
\(591\) 1.37302 + 7.66885i 0.0564784 + 0.315454i
\(592\) −5.76571 12.5301i −0.236969 0.514984i
\(593\) 23.6667 0.971874 0.485937 0.873994i \(-0.338478\pi\)
0.485937 + 0.873994i \(0.338478\pi\)
\(594\) −0.0432604 + 0.138290i −0.00177499 + 0.00567413i
\(595\) 0.245236 + 0.0675805i 0.0100537 + 0.00277053i
\(596\) 40.0037 + 3.95432i 1.63861 + 0.161975i
\(597\) −4.50411 + 32.6713i −0.184341 + 1.33715i
\(598\) 17.9905 + 19.8565i 0.735686 + 0.811993i
\(599\) 6.90906 0.282297 0.141148 0.989988i \(-0.454921\pi\)
0.141148 + 0.989988i \(0.454921\pi\)
\(600\) −20.3384 + 13.6509i −0.830313 + 0.557297i
\(601\) 12.8685 0.524917 0.262459 0.964943i \(-0.415467\pi\)
0.262459 + 0.964943i \(0.415467\pi\)
\(602\) −6.13846 6.77516i −0.250185 0.276135i
\(603\) −22.2737 + 33.3995i −0.907055 + 1.36013i
\(604\) 13.5226 + 1.33669i 0.550227 + 0.0543893i
\(605\) −23.0242 + 8.65112i −0.936068 + 0.351718i
\(606\) −8.05680 + 5.50174i −0.327285 + 0.223493i
\(607\) 23.5971 0.957779 0.478889 0.877875i \(-0.341039\pi\)
0.478889 + 0.877875i \(0.341039\pi\)
\(608\) 7.67324 + 33.5386i 0.311191 + 1.36017i
\(609\) −10.9216 + 1.95538i −0.442565 + 0.0792360i
\(610\) −21.3406 + 3.29247i −0.864056 + 0.133308i
\(611\) 10.9847 + 7.98086i 0.444394 + 0.322871i
\(612\) −0.584279 0.478978i −0.0236181 0.0193615i
\(613\) −17.5398 24.1415i −0.708427 0.975066i −0.999829 0.0184656i \(-0.994122\pi\)
0.291403 0.956601i \(-0.405878\pi\)
\(614\) −20.3217 22.4296i −0.820119 0.905184i
\(615\) −14.6355 + 8.70507i −0.590161 + 0.351022i
\(616\) −0.0503844 0.000467910i −0.00203005 1.88526e-5i
\(617\) 6.53889 20.1246i 0.263246 0.810187i −0.728847 0.684677i \(-0.759943\pi\)
0.992092 0.125510i \(-0.0400568\pi\)
\(618\) −4.73974 + 6.13870i −0.190660 + 0.246935i
\(619\) −19.8653 6.45463i −0.798455 0.259434i −0.118754 0.992924i \(-0.537890\pi\)
−0.679700 + 0.733490i \(0.737890\pi\)
\(620\) −7.82662 3.01253i −0.314325 0.120986i
\(621\) 33.1209 19.4722i 1.32909 0.781391i
\(622\) 3.08113 + 28.4670i 0.123542 + 1.14142i
\(623\) −5.27930 + 7.26634i −0.211511 + 0.291120i
\(624\) 5.14891 + 16.9896i 0.206121 + 0.680130i
\(625\) 24.5914 4.50129i 0.983657 0.180052i
\(626\) −7.49678 + 35.8143i −0.299632 + 1.43143i
\(627\) −0.0980004 0.183149i −0.00391376 0.00731427i
\(628\) 33.1796 + 3.27976i 1.32401 + 0.130877i
\(629\) −0.412949 + 0.134175i −0.0164654 + 0.00534992i
\(630\) −7.49100 + 4.16460i −0.298449 + 0.165922i
\(631\) −34.1089 11.0827i −1.35786 0.441194i −0.462529 0.886604i \(-0.653058\pi\)
−0.895327 + 0.445410i \(0.853058\pi\)
\(632\) −1.01278 + 1.42154i −0.0402861 + 0.0565460i
\(633\) −12.9949 + 13.5276i −0.516502 + 0.537674i
\(634\) 14.1045 6.33211i 0.560160 0.251480i
\(635\) −16.1206 + 24.4419i −0.639728 + 0.969948i
\(636\) −0.811651 + 0.0639541i −0.0321841 + 0.00253594i
\(637\) 9.31360 + 12.8191i 0.369018 + 0.507910i
\(638\) −0.0809801 0.180379i −0.00320603 0.00714129i
\(639\) 1.40213 + 34.8919i 0.0554675 + 1.38030i
\(640\) 11.8123 + 22.3712i 0.466922 + 0.884298i
\(641\) 6.26340 + 8.62083i 0.247390 + 0.340502i 0.914595 0.404371i \(-0.132510\pi\)
−0.667205 + 0.744874i \(0.732510\pi\)
\(642\) −17.4638 + 11.9255i −0.689239 + 0.470660i
\(643\) 13.7687 0.542983 0.271491 0.962441i \(-0.412483\pi\)
0.271491 + 0.962441i \(0.412483\pi\)
\(644\) 9.98379 + 8.87814i 0.393416 + 0.349848i
\(645\) 2.53881 27.5968i 0.0999656 1.08662i
\(646\) 1.07678 0.116545i 0.0423653 0.00458541i
\(647\) −14.0477 + 4.56436i −0.552270 + 0.179444i −0.571840 0.820365i \(-0.693770\pi\)
0.0195699 + 0.999808i \(0.493770\pi\)
\(648\) 25.3537 2.27813i 0.995987 0.0894934i
\(649\) 0.294714 0.0115685
\(650\) 2.09391 17.9974i 0.0821300 0.705916i
\(651\) −2.64081 1.27943i −0.103501 0.0501447i
\(652\) 1.42382 + 2.43125i 0.0557612 + 0.0952149i
\(653\) 10.7453 + 33.0705i 0.420494 + 1.29415i 0.907243 + 0.420607i \(0.138183\pi\)
−0.486749 + 0.873542i \(0.661817\pi\)
\(654\) 25.6929 + 9.18526i 1.00467 + 0.359172i
\(655\) 40.1600 + 11.0670i 1.56918 + 0.432425i
\(656\) 7.35173 + 15.9769i 0.287037 + 0.623792i
\(657\) −12.7040 + 10.0334i −0.495630 + 0.391442i
\(658\) 5.87364 + 3.36695i 0.228978 + 0.131257i
\(659\) 26.5251 19.2716i 1.03327 0.750717i 0.0643116 0.997930i \(-0.479515\pi\)
0.968961 + 0.247213i \(0.0795149\pi\)
\(660\) −0.104358 0.111525i −0.00406214 0.00434112i
\(661\) 20.7897 + 15.1046i 0.808626 + 0.587501i 0.913432 0.406992i \(-0.133422\pi\)
−0.104806 + 0.994493i \(0.533422\pi\)
\(662\) −3.01618 6.71841i −0.117227 0.261118i
\(663\) 0.550105 0.0984898i 0.0213643 0.00382503i
\(664\) 31.1011 10.4256i 1.20696 0.404593i
\(665\) 3.26422 11.8452i 0.126581 0.459336i
\(666\) 6.76010 12.9742i 0.261948 0.502739i
\(667\) −16.2010 + 49.8615i −0.627305 + 1.93064i
\(668\) 0.190913 0.436043i 0.00738664 0.0168710i
\(669\) −22.0470 21.1788i −0.852385 0.818820i
\(670\) −19.0603 37.7812i −0.736364 1.45962i
\(671\) −0.0416070 0.128053i −0.00160622 0.00494343i
\(672\) 3.46403 + 8.14597i 0.133628 + 0.314238i
\(673\) 6.56396 9.03451i 0.253022 0.348255i −0.663545 0.748137i \(-0.730949\pi\)
0.916567 + 0.399882i \(0.130949\pi\)
\(674\) 0.827394 3.95271i 0.0318700 0.152253i
\(675\) −24.6580 8.18438i −0.949086 0.315017i
\(676\) 11.7880 + 5.16116i 0.453385 + 0.198506i
\(677\) −23.8114 17.3000i −0.915145 0.664891i 0.0271662 0.999631i \(-0.491352\pi\)
−0.942311 + 0.334739i \(0.891352\pi\)
\(678\) −5.57723 1.99387i −0.214192 0.0765740i
\(679\) 11.1233 3.61419i 0.426874 0.138700i
\(680\) 0.742861 0.287023i 0.0284874 0.0110068i
\(681\) −3.25013 + 3.38336i −0.124545 + 0.129650i
\(682\) 0.0107139 0.0511836i 0.000410257 0.00195992i
\(683\) −39.4244 12.8098i −1.50853 0.490152i −0.566041 0.824377i \(-0.691526\pi\)
−0.942493 + 0.334225i \(0.891526\pi\)
\(684\) −23.1352 + 28.2214i −0.884597 + 1.07907i
\(685\) 27.3128 + 34.2224i 1.04357 + 1.30757i
\(686\) 11.3098 + 12.4829i 0.431811 + 0.476600i
\(687\) 2.91516 + 16.2823i 0.111220 + 0.621208i
\(688\) −28.0683 5.60380i −1.07009 0.213643i
\(689\) 0.353986 0.487220i 0.0134858 0.0185616i
\(690\) 0.651078 + 40.4938i 0.0247861 + 1.54157i
\(691\) 4.37169 + 6.01711i 0.166307 + 0.228902i 0.884034 0.467423i \(-0.154817\pi\)
−0.717727 + 0.696325i \(0.754817\pi\)
\(692\) 2.92470 3.28893i 0.111181 0.125027i
\(693\) −0.0331237 0.0419401i −0.00125827 0.00159317i
\(694\) 10.5756 + 6.06226i 0.401445 + 0.230120i
\(695\) −16.2478 10.7162i −0.616315 0.406490i
\(696\) −23.8302 + 25.2727i −0.903283 + 0.957960i
\(697\) 0.526543 0.171084i 0.0199442 0.00648028i
\(698\) 32.0700 + 35.3963i 1.21387 + 1.33977i
\(699\) 19.1209 39.4666i 0.723219 1.49276i
\(700\) 0.0723583 9.03415i 0.00273489 0.341459i
\(701\) 4.41207i 0.166641i −0.996523 0.0833207i \(-0.973447\pi\)
0.996523 0.0833207i \(-0.0265526\pi\)
\(702\) −10.8998 + 15.3541i −0.411387 + 0.579503i
\(703\) 6.48083 + 19.9459i 0.244429 + 0.752275i
\(704\) −0.125875 + 0.0950749i −0.00474410 + 0.00358327i
\(705\) 4.52711 + 20.0170i 0.170501 + 0.753885i
\(706\) 8.78503 15.3255i 0.330629 0.576782i
\(707\) 3.59833i 0.135329i
\(708\) −19.8180 47.8324i −0.744807 1.79765i
\(709\) 2.55928 1.85943i 0.0961158 0.0698322i −0.538689 0.842504i \(-0.681080\pi\)
0.634805 + 0.772672i \(0.281080\pi\)
\(710\) −32.7299 16.8421i −1.22833 0.632074i
\(711\) −1.84981 + 0.0743345i −0.0693732 + 0.00278776i
\(712\) 0.261125 + 28.1179i 0.00978608 + 1.05376i
\(713\) −11.2176 + 8.15009i −0.420104 + 0.305223i
\(714\) 0.267417 0.0783400i 0.0100078 0.00293180i
\(715\) 0.112863 0.00511166i 0.00422085 0.000191165i
\(716\) −18.8845 + 4.13639i −0.705748 + 0.154584i
\(717\) 3.90662 + 3.75279i 0.145896 + 0.140150i
\(718\) −27.5454 5.76589i −1.02798 0.215181i
\(719\) 8.16195 25.1199i 0.304389 0.936814i −0.675515 0.737346i \(-0.736079\pi\)
0.979904 0.199468i \(-0.0639214\pi\)
\(720\) −11.0831 + 24.4369i −0.413044 + 0.910711i
\(721\) −0.883938 2.72048i −0.0329196 0.101316i
\(722\) −2.73788 25.2957i −0.101893 0.941409i
\(723\) 30.5953 16.3711i 1.13785 0.608847i
\(724\) −11.5365 5.05103i −0.428751 0.187720i
\(725\) 32.5888 13.9584i 1.21032 0.518402i
\(726\) −16.4662 + 21.3263i −0.611119 + 0.791494i
\(727\) −30.2425 21.9725i −1.12163 0.814914i −0.137177 0.990547i \(-0.543803\pi\)
−0.984456 + 0.175632i \(0.943803\pi\)
\(728\) −6.24578 1.96544i −0.231484 0.0728442i
\(729\) 18.3807 + 19.7775i 0.680767 + 0.732500i
\(730\) −2.60188 16.8644i −0.0962999 0.624181i
\(731\) −0.278431 + 0.856923i −0.0102981 + 0.0316944i
\(732\) −17.9853 + 15.3638i −0.664755 + 0.567861i
\(733\) 15.3496 + 4.98739i 0.566950 + 0.184213i 0.578446 0.815721i \(-0.303659\pi\)
−0.0114958 + 0.999934i \(0.503659\pi\)
\(734\) 5.67892 2.54951i 0.209613 0.0941042i
\(735\) −2.19402 + 23.8490i −0.0809277 + 0.879684i
\(736\) 41.6608 + 3.72780i 1.53564 + 0.137409i
\(737\) 0.213471 0.155096i 0.00786331 0.00571303i
\(738\) −8.61966 + 16.5431i −0.317294 + 0.608960i
\(739\) 29.9328 41.1990i 1.10110 1.51553i 0.267174 0.963648i \(-0.413910\pi\)
0.833923 0.551881i \(-0.186090\pi\)
\(740\) 8.38714 + 12.9408i 0.308317 + 0.475714i
\(741\) −4.75718 26.5707i −0.174759 0.976099i
\(742\) 0.149339 0.260521i 0.00548240 0.00956404i
\(743\) 23.5056i 0.862336i 0.902272 + 0.431168i \(0.141898\pi\)
−0.902272 + 0.431168i \(0.858102\pi\)
\(744\) −9.02760 + 1.70296i −0.330968 + 0.0624334i
\(745\) −44.8974 + 2.03343i −1.64491 + 0.0744993i
\(746\) 34.6237 3.74749i 1.26766 0.137205i
\(747\) 28.9455 + 19.3034i 1.05906 + 0.706275i
\(748\) 0.00250948 + 0.00428506i 9.17557e−5 + 0.000156677i
\(749\) 7.79967i 0.284994i
\(750\) 20.3174 18.3631i 0.741888 0.670524i
\(751\) 30.7299i 1.12135i −0.828036 0.560675i \(-0.810542\pi\)
0.828036 0.560675i \(-0.189458\pi\)
\(752\) 21.0505 2.47638i 0.767632 0.0903042i
\(753\) −18.4738 2.54683i −0.673223 0.0928115i
\(754\) −2.76486 25.5449i −0.100690 0.930292i
\(755\) −15.1769 + 0.687371i −0.552343 + 0.0250160i
\(756\) −4.57952 + 8.19627i −0.166556 + 0.298096i
\(757\) 9.04077i 0.328592i −0.986411 0.164296i \(-0.947465\pi\)
0.986411 0.164296i \(-0.0525353\pi\)
\(758\) 13.0070 + 7.45600i 0.472435 + 0.270814i
\(759\) −0.248578 + 0.0445049i −0.00902280 + 0.00161543i
\(760\) −13.8635 35.8811i −0.502883 1.30154i
\(761\) −6.35636 + 8.74878i −0.230418 + 0.317143i −0.908533 0.417812i \(-0.862797\pi\)
0.678115 + 0.734955i \(0.262797\pi\)
\(762\) −0.935872 + 32.0603i −0.0339030 + 1.16142i
\(763\) −8.14169 + 5.91529i −0.294749 + 0.214148i
\(764\) 18.8997 + 32.2722i 0.683767 + 1.16757i
\(765\) 0.723238 + 0.436382i 0.0261487 + 0.0157774i
\(766\) −7.08062 15.7718i −0.255833 0.569857i
\(767\) 36.4236 + 11.8348i 1.31518 + 0.427328i
\(768\) 23.8952 + 14.0364i 0.862244 + 0.506493i
\(769\) −13.3618 + 41.1234i −0.481839 + 1.48295i 0.354668 + 0.934992i \(0.384594\pi\)
−0.836507 + 0.547956i \(0.815406\pi\)
\(770\) 0.0556752 0.00858968i 0.00200639 0.000309550i
\(771\) −17.8352 2.45879i −0.642320 0.0885513i
\(772\) 38.8980 + 3.84502i 1.39997 + 0.138385i
\(773\) −38.2541 27.7932i −1.37590 0.999653i −0.997250 0.0741149i \(-0.976387\pi\)
−0.378655 0.925538i