Properties

Label 177.2.f.a.47.14
Level $177$
Weight $2$
Character 177.47
Analytic conductor $1.413$
Analytic rank $0$
Dimension $504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(504\)
Relative dimension: \(18\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 47.14
Character \(\chi\) \(=\) 177.47
Dual form 177.2.f.a.113.14

$q$-expansion

\(f(q)\) \(=\) \(q+(1.21980 - 0.410997i) q^{2} +(0.669029 + 1.59762i) q^{3} +(-0.273203 + 0.207683i) q^{4} +(0.772914 - 0.307957i) q^{5} +(1.47270 + 1.67381i) q^{6} +(1.10327 + 0.510426i) q^{7} +(-1.69259 + 2.49638i) q^{8} +(-2.10480 + 2.13771i) q^{9} +O(q^{10})\) \(q+(1.21980 - 0.410997i) q^{2} +(0.669029 + 1.59762i) q^{3} +(-0.273203 + 0.207683i) q^{4} +(0.772914 - 0.307957i) q^{5} +(1.47270 + 1.67381i) q^{6} +(1.10327 + 0.510426i) q^{7} +(-1.69259 + 2.49638i) q^{8} +(-2.10480 + 2.13771i) q^{9} +(0.816227 - 0.693310i) q^{10} +(-1.30162 - 4.68803i) q^{11} +(-0.514581 - 0.297529i) q^{12} +(3.21638 - 1.70522i) q^{13} +(1.55555 + 0.169176i) q^{14} +(1.00910 + 1.02879i) q^{15} +(-0.854985 + 3.07938i) q^{16} +(-2.22488 - 4.80900i) q^{17} +(-1.68883 + 3.47264i) q^{18} +(3.68284 + 0.810655i) q^{19} +(-0.147205 + 0.244656i) q^{20} +(-0.0773505 + 2.10410i) q^{21} +(-3.51448 - 5.18347i) q^{22} +(0.277760 + 1.69426i) q^{23} +(-5.12066 - 1.03397i) q^{24} +(-3.12742 + 2.96245i) q^{25} +(3.22249 - 3.40194i) q^{26} +(-4.82343 - 1.93249i) q^{27} +(-0.407423 + 0.0896806i) q^{28} +(0.917428 - 2.72283i) q^{29} +(1.65373 + 0.840180i) q^{30} +(-1.15203 - 5.23370i) q^{31} +(-0.103867 - 1.91571i) q^{32} +(6.61888 - 5.21593i) q^{33} +(-4.69038 - 4.95158i) q^{34} +(1.00992 + 0.0547563i) q^{35} +(0.131070 - 1.02116i) q^{36} +(-6.71605 + 4.55360i) q^{37} +(4.82549 - 0.524804i) q^{38} +(4.87615 + 3.99773i) q^{39} +(-0.539446 + 2.45073i) q^{40} +(-2.78877 - 0.457196i) q^{41} +(0.770426 + 2.59836i) q^{42} +(6.12814 + 1.70147i) q^{43} +(1.32923 + 1.01046i) q^{44} +(-0.968506 + 2.30045i) q^{45} +(1.03515 + 1.95249i) q^{46} +(-3.65483 + 9.17294i) q^{47} +(-5.49170 + 0.694249i) q^{48} +(-3.57504 - 4.20886i) q^{49} +(-2.59726 + 4.89894i) q^{50} +(6.19446 - 6.77188i) q^{51} +(-0.524580 + 1.13386i) q^{52} +(-3.72929 - 3.16768i) q^{53} +(-6.67785 - 0.374823i) q^{54} +(-2.44975 - 3.22260i) q^{55} +(-3.14159 + 1.89023i) q^{56} +(1.16881 + 6.42615i) q^{57} -3.69836i q^{58} +(7.62030 + 0.964864i) q^{59} +(-0.489352 - 0.0714956i) q^{60} +(3.00178 + 8.90895i) q^{61} +(-3.55627 - 5.91057i) q^{62} +(-3.41330 + 1.28412i) q^{63} +(-3.27987 - 8.23186i) q^{64} +(1.96085 - 2.30849i) q^{65} +(5.92995 - 9.08271i) q^{66} +(7.24555 + 4.91260i) q^{67} +(1.60659 + 0.851762i) q^{68} +(-2.52096 + 1.57726i) q^{69} +(1.25440 - 0.348283i) q^{70} +(2.02280 + 0.805959i) q^{71} +(-1.77398 - 8.87264i) q^{72} +(-1.25285 + 11.5198i) q^{73} +(-6.32070 + 8.31474i) q^{74} +(-6.82521 - 3.01447i) q^{75} +(-1.17452 + 0.543392i) q^{76} +(0.956851 - 5.83654i) q^{77} +(7.59096 + 2.87233i) q^{78} +(6.41079 + 3.85725i) q^{79} +(0.287486 + 2.64339i) q^{80} +(-0.139629 - 8.99892i) q^{81} +(-3.58964 + 0.588491i) q^{82} +(0.120931 - 2.23043i) q^{83} +(-0.415854 - 0.590910i) q^{84} +(-3.20061 - 3.03177i) q^{85} +(8.17437 - 0.443202i) q^{86} +(4.96384 - 0.355947i) q^{87} +(13.9062 + 4.68555i) q^{88} +(-5.12969 - 1.72839i) q^{89} +(-0.235899 + 3.20414i) q^{90} +(4.41892 - 0.239587i) q^{91} +(-0.427754 - 0.405190i) q^{92} +(7.59075 - 5.34200i) q^{93} +(-0.688099 + 12.6912i) q^{94} +(3.09617 - 0.507591i) q^{95} +(2.99109 - 1.44760i) q^{96} +(-0.674495 - 6.20188i) q^{97} +(-6.09065 - 3.66462i) q^{98} +(12.7613 + 7.08487i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} + O(q^{10}) \) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} - 58q^{10} - 15q^{12} - 58q^{13} - 38q^{15} - 66q^{16} - 29q^{18} - 66q^{19} - 24q^{21} - 62q^{22} - 29q^{24} - 20q^{25} - 54q^{27} - 26q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 13q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} - q^{45} - 46q^{46} + 147q^{48} - 48q^{49} + 59q^{51} - 58q^{52} + 174q^{54} - 58q^{55} + 83q^{57} + 250q^{60} - 58q^{61} + 82q^{63} + 10q^{64} + 226q^{66} - 58q^{67} + 87q^{69} - 58q^{70} + 145q^{72} - 58q^{73} - 28q^{75} - 150q^{76} - 13q^{78} - 30q^{79} + 13q^{81} - 58q^{82} - 69q^{84} - 86q^{85} - 36q^{87} + 22q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 162q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{23}{58}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.21980 0.410997i 0.862526 0.290619i 0.146942 0.989145i \(-0.453057\pi\)
0.715584 + 0.698526i \(0.246161\pi\)
\(3\) 0.669029 + 1.59762i 0.386264 + 0.922388i
\(4\) −0.273203 + 0.207683i −0.136601 + 0.103842i
\(5\) 0.772914 0.307957i 0.345657 0.137723i −0.190847 0.981620i \(-0.561124\pi\)
0.536505 + 0.843897i \(0.319744\pi\)
\(6\) 1.47270 + 1.67381i 0.601226 + 0.683328i
\(7\) 1.10327 + 0.510426i 0.416996 + 0.192923i 0.617157 0.786840i \(-0.288284\pi\)
−0.200161 + 0.979763i \(0.564146\pi\)
\(8\) −1.69259 + 2.49638i −0.598420 + 0.882603i
\(9\) −2.10480 + 2.13771i −0.701600 + 0.712571i
\(10\) 0.816227 0.693310i 0.258114 0.219244i
\(11\) −1.30162 4.68803i −0.392455 1.41349i −0.851160 0.524906i \(-0.824101\pi\)
0.458706 0.888588i \(-0.348313\pi\)
\(12\) −0.514581 0.297529i −0.148547 0.0858892i
\(13\) 3.21638 1.70522i 0.892064 0.472943i 0.0416960 0.999130i \(-0.486724\pi\)
0.850368 + 0.526188i \(0.176379\pi\)
\(14\) 1.55555 + 0.169176i 0.415737 + 0.0452141i
\(15\) 1.00910 + 1.02879i 0.260549 + 0.265633i
\(16\) −0.854985 + 3.07938i −0.213746 + 0.769845i
\(17\) −2.22488 4.80900i −0.539613 1.16635i −0.965218 0.261445i \(-0.915801\pi\)
0.425606 0.904909i \(-0.360061\pi\)
\(18\) −1.68883 + 3.47264i −0.398062 + 0.818509i
\(19\) 3.68284 + 0.810655i 0.844902 + 0.185977i 0.616269 0.787536i \(-0.288643\pi\)
0.228633 + 0.973513i \(0.426574\pi\)
\(20\) −0.147205 + 0.244656i −0.0329160 + 0.0547068i
\(21\) −0.0773505 + 2.10410i −0.0168793 + 0.459152i
\(22\) −3.51448 5.18347i −0.749290 1.10512i
\(23\) 0.277760 + 1.69426i 0.0579169 + 0.353277i 0.999847 + 0.0174696i \(0.00556102\pi\)
−0.941930 + 0.335808i \(0.890991\pi\)
\(24\) −5.12066 1.03397i −1.04525 0.211058i
\(25\) −3.12742 + 2.96245i −0.625484 + 0.592490i
\(26\) 3.22249 3.40194i 0.631983 0.667176i
\(27\) −4.82343 1.93249i −0.928270 0.371907i
\(28\) −0.407423 + 0.0896806i −0.0769957 + 0.0169480i
\(29\) 0.917428 2.72283i 0.170362 0.505617i −0.828129 0.560538i \(-0.810594\pi\)
0.998491 + 0.0549214i \(0.0174908\pi\)
\(30\) 1.65373 + 0.840180i 0.301928 + 0.153395i
\(31\) −1.15203 5.23370i −0.206910 0.940001i −0.959543 0.281561i \(-0.909148\pi\)
0.752634 0.658440i \(-0.228783\pi\)
\(32\) −0.103867 1.91571i −0.0183612 0.338653i
\(33\) 6.61888 5.21593i 1.15220 0.907977i
\(34\) −4.69038 4.95158i −0.804394 0.849189i
\(35\) 1.00992 + 0.0547563i 0.170708 + 0.00925550i
\(36\) 0.131070 1.02116i 0.0218450 0.170194i
\(37\) −6.71605 + 4.55360i −1.10411 + 0.748607i −0.970180 0.242384i \(-0.922071\pi\)
−0.133932 + 0.990991i \(0.542760\pi\)
\(38\) 4.82549 0.524804i 0.782798 0.0851344i
\(39\) 4.87615 + 3.99773i 0.780809 + 0.640149i
\(40\) −0.539446 + 2.45073i −0.0852939 + 0.387494i
\(41\) −2.78877 0.457196i −0.435533 0.0714020i −0.0599727 0.998200i \(-0.519101\pi\)
−0.375560 + 0.926798i \(0.622550\pi\)
\(42\) 0.770426 + 2.59836i 0.118879 + 0.400935i
\(43\) 6.12814 + 1.70147i 0.934532 + 0.259472i 0.701232 0.712933i \(-0.252634\pi\)
0.233300 + 0.972405i \(0.425048\pi\)
\(44\) 1.32923 + 1.01046i 0.200389 + 0.152332i
\(45\) −0.968506 + 2.30045i −0.144376 + 0.342932i
\(46\) 1.03515 + 1.95249i 0.152624 + 0.287879i
\(47\) −3.65483 + 9.17294i −0.533112 + 1.33801i 0.377982 + 0.925813i \(0.376618\pi\)
−0.911094 + 0.412198i \(0.864761\pi\)
\(48\) −5.49170 + 0.694249i −0.792658 + 0.100206i
\(49\) −3.57504 4.20886i −0.510720 0.601266i
\(50\) −2.59726 + 4.89894i −0.367307 + 0.692815i
\(51\) 6.19446 6.77188i 0.867398 0.948253i
\(52\) −0.524580 + 1.13386i −0.0727461 + 0.157238i
\(53\) −3.72929 3.16768i −0.512257 0.435115i 0.353607 0.935394i \(-0.384955\pi\)
−0.865864 + 0.500279i \(0.833231\pi\)
\(54\) −6.67785 0.374823i −0.908740 0.0510070i
\(55\) −2.44975 3.22260i −0.330325 0.434535i
\(56\) −3.14159 + 1.89023i −0.419813 + 0.252593i
\(57\) 1.16881 + 6.42615i 0.154812 + 0.851164i
\(58\) 3.69836i 0.485618i
\(59\) 7.62030 + 0.964864i 0.992079 + 0.125615i
\(60\) −0.489352 0.0714956i −0.0631751 0.00923005i
\(61\) 3.00178 + 8.90895i 0.384338 + 1.14067i 0.948979 + 0.315338i \(0.102118\pi\)
−0.564641 + 0.825336i \(0.690986\pi\)
\(62\) −3.55627 5.91057i −0.451647 0.750643i
\(63\) −3.41330 + 1.28412i −0.430036 + 0.161784i
\(64\) −3.27987 8.23186i −0.409984 1.02898i
\(65\) 1.96085 2.30849i 0.243214 0.286333i
\(66\) 5.92995 9.08271i 0.729926 1.11800i
\(67\) 7.24555 + 4.91260i 0.885185 + 0.600170i 0.916807 0.399330i \(-0.130757\pi\)
−0.0316227 + 0.999500i \(0.510067\pi\)
\(68\) 1.60659 + 0.851762i 0.194828 + 0.103291i
\(69\) −2.52096 + 1.57726i −0.303488 + 0.189880i
\(70\) 1.25440 0.348283i 0.149930 0.0416277i
\(71\) 2.02280 + 0.805959i 0.240063 + 0.0956497i 0.487067 0.873365i \(-0.338067\pi\)
−0.247004 + 0.969014i \(0.579446\pi\)
\(72\) −1.77398 8.87264i −0.209066 1.04565i
\(73\) −1.25285 + 11.5198i −0.146636 + 1.34829i 0.657324 + 0.753608i \(0.271688\pi\)
−0.803960 + 0.594684i \(0.797277\pi\)
\(74\) −6.32070 + 8.31474i −0.734766 + 0.966568i
\(75\) −6.82521 3.01447i −0.788108 0.348082i
\(76\) −1.17452 + 0.543392i −0.134727 + 0.0623313i
\(77\) 0.956851 5.83654i 0.109043 0.665135i
\(78\) 7.59096 + 2.87233i 0.859507 + 0.325227i
\(79\) 6.41079 + 3.85725i 0.721271 + 0.433974i 0.828302 0.560281i \(-0.189307\pi\)
−0.107032 + 0.994256i \(0.534135\pi\)
\(80\) 0.287486 + 2.64339i 0.0321419 + 0.295540i
\(81\) −0.139629 8.99892i −0.0155143 0.999880i
\(82\) −3.58964 + 0.588491i −0.396409 + 0.0649880i
\(83\) 0.120931 2.23043i 0.0132739 0.244822i −0.984365 0.176142i \(-0.943638\pi\)
0.997639 0.0686804i \(-0.0218789\pi\)
\(84\) −0.415854 0.590910i −0.0453733 0.0644735i
\(85\) −3.20061 3.03177i −0.347154 0.328842i
\(86\) 8.17437 0.443202i 0.881465 0.0477917i
\(87\) 4.96384 0.355947i 0.532180 0.0381616i
\(88\) 13.9062 + 4.68555i 1.48241 + 0.499481i
\(89\) −5.12969 1.72839i −0.543746 0.183209i 0.0340064 0.999422i \(-0.489173\pi\)
−0.577752 + 0.816212i \(0.696070\pi\)
\(90\) −0.235899 + 3.20414i −0.0248659 + 0.337746i
\(91\) 4.41892 0.239587i 0.463229 0.0251155i
\(92\) −0.427754 0.405190i −0.0445965 0.0422440i
\(93\) 7.59075 5.34200i 0.787124 0.553940i
\(94\) −0.688099 + 12.6912i −0.0709720 + 1.30900i
\(95\) 3.09617 0.507591i 0.317660 0.0520777i
\(96\) 2.99109 1.44760i 0.305277 0.147746i
\(97\) −0.674495 6.20188i −0.0684846 0.629706i −0.977205 0.212300i \(-0.931905\pi\)
0.908720 0.417406i \(-0.137061\pi\)
\(98\) −6.09065 3.66462i −0.615248 0.370183i
\(99\) 12.7613 + 7.08487i 1.28256 + 0.712056i
\(100\) 0.239168 1.45886i 0.0239168 0.145886i
\(101\) 4.60971 2.13268i 0.458683 0.212210i −0.176920 0.984225i \(-0.556613\pi\)
0.635603 + 0.772016i \(0.280751\pi\)
\(102\) 4.77276 10.8062i 0.472573 1.06998i
\(103\) 1.34709 1.77206i 0.132732 0.174606i −0.724925 0.688827i \(-0.758126\pi\)
0.857658 + 0.514221i \(0.171919\pi\)
\(104\) −1.18714 + 10.9155i −0.116408 + 1.07036i
\(105\) 0.588186 + 1.65011i 0.0574011 + 0.161034i
\(106\) −5.85088 2.33120i −0.568287 0.226426i
\(107\) −8.72880 + 2.42354i −0.843845 + 0.234292i −0.662439 0.749116i \(-0.730479\pi\)
−0.181406 + 0.983408i \(0.558065\pi\)
\(108\) 1.71912 0.473786i 0.165422 0.0455901i
\(109\) −11.0122 5.83831i −1.05478 0.559209i −0.151587 0.988444i \(-0.548438\pi\)
−0.903193 + 0.429235i \(0.858783\pi\)
\(110\) −4.31268 2.92407i −0.411198 0.278799i
\(111\) −11.7682 7.68323i −1.11698 0.729260i
\(112\) −2.51507 + 2.96097i −0.237652 + 0.279786i
\(113\) 7.15580 + 17.9597i 0.673161 + 1.68951i 0.723089 + 0.690755i \(0.242722\pi\)
−0.0499274 + 0.998753i \(0.515899\pi\)
\(114\) 4.06683 + 7.35821i 0.380894 + 0.689160i
\(115\) 0.736443 + 1.22398i 0.0686737 + 0.114137i
\(116\) 0.314843 + 0.934420i 0.0292324 + 0.0867587i
\(117\) −3.12458 + 10.4648i −0.288867 + 0.967476i
\(118\) 9.69177 1.95499i 0.892200 0.179971i
\(119\) 6.44125i 0.590469i
\(120\) −4.27625 + 0.777777i −0.390366 + 0.0710010i
\(121\) −10.8580 + 6.53302i −0.987087 + 0.593911i
\(122\) 7.32311 + 9.63338i 0.663003 + 0.872165i
\(123\) −1.13534 4.76128i −0.102370 0.429310i
\(124\) 1.40169 + 1.19061i 0.125875 + 0.106920i
\(125\) −3.25167 + 7.02837i −0.290838 + 0.628636i
\(126\) −3.63576 + 2.96923i −0.323899 + 0.264520i
\(127\) 8.73791 16.4814i 0.775364 1.46249i −0.108174 0.994132i \(-0.534500\pi\)
0.883538 0.468360i \(-0.155155\pi\)
\(128\) −4.89999 5.76872i −0.433102 0.509888i
\(129\) 1.38159 + 10.9288i 0.121643 + 0.962226i
\(130\) 1.44306 3.62180i 0.126564 0.317653i
\(131\) 2.43124 + 4.58580i 0.212418 + 0.400663i 0.966709 0.255877i \(-0.0823642\pi\)
−0.754291 + 0.656540i \(0.772019\pi\)
\(132\) −0.725034 + 2.79964i −0.0631061 + 0.243677i
\(133\) 3.64938 + 2.77419i 0.316442 + 0.240553i
\(134\) 10.8572 + 3.01447i 0.937915 + 0.260411i
\(135\) −4.32322 0.00823635i −0.372083 0.000708872i
\(136\) 15.7709 + 2.58551i 1.35234 + 0.221705i
\(137\) 0.169451 0.769823i 0.0144772 0.0657704i −0.968828 0.247734i \(-0.920314\pi\)
0.983305 + 0.181963i \(0.0582452\pi\)
\(138\) −2.42680 + 2.96005i −0.206583 + 0.251976i
\(139\) −10.7216 + 1.16605i −0.909396 + 0.0989028i −0.550845 0.834607i \(-0.685695\pi\)
−0.358551 + 0.933510i \(0.616729\pi\)
\(140\) −0.287285 + 0.194784i −0.0242800 + 0.0164623i
\(141\) −17.1001 + 0.297915i −1.44009 + 0.0250890i
\(142\) 2.79866 + 0.151739i 0.234858 + 0.0127336i
\(143\) −12.1806 12.8589i −1.01860 1.07532i
\(144\) −4.78325 8.30919i −0.398604 0.692433i
\(145\) −0.129422 2.38704i −0.0107479 0.198233i
\(146\) 3.20638 + 14.5667i 0.265362 + 1.20555i
\(147\) 4.33237 8.52741i 0.357328 0.703329i
\(148\) 0.889138 2.63887i 0.0730867 0.216914i
\(149\) −8.34664 + 1.83723i −0.683783 + 0.150512i −0.543259 0.839565i \(-0.682810\pi\)
−0.140524 + 0.990077i \(0.544879\pi\)
\(150\) −9.56431 0.871901i −0.780922 0.0711904i
\(151\) 14.0133 14.7936i 1.14038 1.20389i 0.164318 0.986407i \(-0.447458\pi\)
0.976065 0.217480i \(-0.0697838\pi\)
\(152\) −8.25723 + 7.82167i −0.669750 + 0.634421i
\(153\) 14.9632 + 5.36583i 1.20970 + 0.433802i
\(154\) −1.23164 7.51264i −0.0992480 0.605386i
\(155\) −2.50217 3.69043i −0.200979 0.296422i
\(156\) −2.16244 0.0794953i −0.173134 0.00636472i
\(157\) 2.11096 3.50844i 0.168473 0.280004i −0.761106 0.648628i \(-0.775343\pi\)
0.929579 + 0.368624i \(0.120171\pi\)
\(158\) 9.40518 + 2.07024i 0.748236 + 0.164699i
\(159\) 2.56577 8.07727i 0.203478 0.640569i
\(160\) −0.670236 1.44869i −0.0529868 0.114529i
\(161\) −0.558351 + 2.01100i −0.0440042 + 0.158489i
\(162\) −3.86885 10.9195i −0.303965 0.857913i
\(163\) −23.7634 2.58443i −1.86129 0.202428i −0.892628 0.450793i \(-0.851141\pi\)
−0.968666 + 0.248365i \(0.920107\pi\)
\(164\) 0.856852 0.454274i 0.0669089 0.0354729i
\(165\) 3.50954 6.06979i 0.273217 0.472533i
\(166\) −0.769191 2.77038i −0.0597008 0.215023i
\(167\) 6.52752 5.54453i 0.505115 0.429049i −0.358252 0.933625i \(-0.616627\pi\)
0.863367 + 0.504576i \(0.168351\pi\)
\(168\) −5.12170 3.75446i −0.395148 0.289663i
\(169\) 0.141923 0.209320i 0.0109171 0.0161016i
\(170\) −5.15013 2.38271i −0.394997 0.182745i
\(171\) −9.48460 + 6.16659i −0.725305 + 0.471571i
\(172\) −2.02759 + 0.807866i −0.154602 + 0.0615992i
\(173\) −8.11334 + 6.16760i −0.616845 + 0.468914i −0.866335 0.499464i \(-0.833530\pi\)
0.249489 + 0.968378i \(0.419737\pi\)
\(174\) 5.90858 2.47431i 0.447928 0.187577i
\(175\) −4.96249 + 1.67206i −0.375129 + 0.126396i
\(176\) 15.5491 1.17206
\(177\) 3.55671 + 12.8199i 0.267339 + 0.963603i
\(178\) −6.96753 −0.522239
\(179\) 16.5519 5.57698i 1.23715 0.416843i 0.376677 0.926345i \(-0.377067\pi\)
0.860470 + 0.509501i \(0.170170\pi\)
\(180\) −0.213168 0.829633i −0.0158886 0.0618372i
\(181\) −5.74486 + 4.36713i −0.427012 + 0.324606i −0.796510 0.604625i \(-0.793323\pi\)
0.369498 + 0.929232i \(0.379530\pi\)
\(182\) 5.29171 2.10841i 0.392248 0.156286i
\(183\) −12.2249 + 10.7561i −0.903689 + 0.795110i
\(184\) −4.69964 2.17429i −0.346462 0.160291i
\(185\) −3.78862 + 5.58779i −0.278545 + 0.410823i
\(186\) 7.06362 9.63592i 0.517929 0.706540i
\(187\) −19.6488 + 16.6898i −1.43686 + 1.22048i
\(188\) −0.906557 3.26512i −0.0661175 0.238134i
\(189\) −4.33515 4.59406i −0.315335 0.334168i
\(190\) 3.56807 1.89167i 0.258855 0.137236i
\(191\) −12.6628 1.37716i −0.916249 0.0996481i −0.362170 0.932112i \(-0.617964\pi\)
−0.554079 + 0.832464i \(0.686930\pi\)
\(192\) 10.9571 10.7474i 0.790759 0.775623i
\(193\) 5.45550 19.6489i 0.392696 1.41436i −0.458117 0.888892i \(-0.651476\pi\)
0.850812 0.525470i \(-0.176110\pi\)
\(194\) −3.37170 7.28781i −0.242074 0.523235i
\(195\) 4.99997 + 1.58825i 0.358055 + 0.113737i
\(196\) 1.85082 + 0.407397i 0.132202 + 0.0290998i
\(197\) −3.59511 + 5.97511i −0.256141 + 0.425709i −0.958069 0.286539i \(-0.907495\pi\)
0.701928 + 0.712248i \(0.252323\pi\)
\(198\) 18.4781 + 3.39723i 1.31318 + 0.241430i
\(199\) −10.1866 15.0241i −0.722110 1.06503i −0.994692 0.102900i \(-0.967188\pi\)
0.272581 0.962133i \(-0.412123\pi\)
\(200\) −2.10197 12.8214i −0.148631 0.906612i
\(201\) −3.00101 + 14.8623i −0.211675 + 1.04831i
\(202\) 4.74638 4.49601i 0.333954 0.316338i
\(203\) 2.40197 2.53573i 0.168585 0.177973i
\(204\) −0.285937 + 3.13658i −0.0200196 + 0.219605i
\(205\) −2.29628 + 0.505448i −0.160379 + 0.0353020i
\(206\) 0.914858 2.71520i 0.0637412 0.189177i
\(207\) −4.20647 2.97231i −0.292370 0.206590i
\(208\) 2.50105 + 11.3624i 0.173417 + 0.787841i
\(209\) −0.993305 18.3204i −0.0687084 1.26725i
\(210\) 1.39565 + 1.77105i 0.0963093 + 0.122214i
\(211\) 9.75431 + 10.2975i 0.671514 + 0.708909i 0.969343 0.245710i \(-0.0790211\pi\)
−0.297829 + 0.954619i \(0.596263\pi\)
\(212\) 1.67673 + 0.0909095i 0.115158 + 0.00624369i
\(213\) 0.0656959 + 3.77089i 0.00450141 + 0.258377i
\(214\) −9.65129 + 6.54373i −0.659748 + 0.447321i
\(215\) 5.26050 0.572114i 0.358763 0.0390178i
\(216\) 12.9883 8.77021i 0.883742 0.596737i
\(217\) 1.40043 6.36220i 0.0950671 0.431894i
\(218\) −15.8322 2.59556i −1.07229 0.175793i
\(219\) −19.2425 + 5.70550i −1.30029 + 0.385542i
\(220\) 1.33856 + 0.371649i 0.0902457 + 0.0250566i
\(221\) −15.3565 11.6737i −1.03299 0.785257i
\(222\) −17.5125 4.53530i −1.17537 0.304389i
\(223\) 3.35446 + 6.32718i 0.224631 + 0.423699i 0.970053 0.242894i \(-0.0780967\pi\)
−0.745422 + 0.666593i \(0.767752\pi\)
\(224\) 0.863235 2.16656i 0.0576773 0.144759i
\(225\) 0.249730 12.9209i 0.0166487 0.861393i
\(226\) 16.1100 + 18.9662i 1.07162 + 1.26161i
\(227\) −9.35893 + 17.6528i −0.621174 + 1.17166i 0.350774 + 0.936460i \(0.385919\pi\)
−0.971948 + 0.235198i \(0.924426\pi\)
\(228\) −1.65393 1.51290i −0.109534 0.100194i
\(229\) −3.04858 + 6.58940i −0.201456 + 0.435440i −0.981802 0.189908i \(-0.939181\pi\)
0.780346 + 0.625348i \(0.215043\pi\)
\(230\) 1.40136 + 1.19033i 0.0924030 + 0.0784878i
\(231\) 9.96475 2.37612i 0.655632 0.156337i
\(232\) 5.24439 + 6.89887i 0.344311 + 0.452933i
\(233\) 22.3634 13.4556i 1.46508 0.881507i 0.465082 0.885267i \(-0.346025\pi\)
0.999993 + 0.00376094i \(0.00119715\pi\)
\(234\) 0.489674 + 14.0492i 0.0320110 + 0.918423i
\(235\) 8.21542i 0.535915i
\(236\) −2.28228 + 1.31901i −0.148563 + 0.0858601i
\(237\) −1.87342 + 12.8226i −0.121692 + 0.832920i
\(238\) −2.64734 7.85701i −0.171601 0.509295i
\(239\) 0.657443 + 1.09268i 0.0425264 + 0.0706795i 0.877391 0.479775i \(-0.159282\pi\)
−0.834865 + 0.550455i \(0.814454\pi\)
\(240\) −4.03081 + 2.22780i −0.260188 + 0.143804i
\(241\) 9.50597 + 23.8582i 0.612334 + 1.53684i 0.828208 + 0.560420i \(0.189360\pi\)
−0.215875 + 0.976421i \(0.569260\pi\)
\(242\) −10.5594 + 12.4315i −0.678787 + 0.799129i
\(243\) 14.2835 6.24361i 0.916285 0.400528i
\(244\) −2.67034 1.81053i −0.170951 0.115907i
\(245\) −4.05934 2.15213i −0.259342 0.137494i
\(246\) −3.34176 5.34117i −0.213063 0.340541i
\(247\) 13.2278 3.67267i 0.841663 0.233687i
\(248\) 15.0152 + 5.98260i 0.953467 + 0.379896i
\(249\) 3.64430 1.29902i 0.230948 0.0823222i
\(250\) −1.07773 + 9.90960i −0.0681619 + 0.626738i
\(251\) −1.96114 + 2.57984i −0.123786 + 0.162838i −0.853812 0.520582i \(-0.825715\pi\)
0.730026 + 0.683420i \(0.239508\pi\)
\(252\) 0.665833 1.05971i 0.0419435 0.0667557i
\(253\) 7.58120 3.50744i 0.476626 0.220511i
\(254\) 3.88464 23.6953i 0.243744 1.48677i
\(255\) 2.70234 7.14171i 0.169227 0.447231i
\(256\) 6.83767 + 4.11409i 0.427354 + 0.257130i
\(257\) 2.83011 + 26.0224i 0.176537 + 1.62323i 0.662368 + 0.749179i \(0.269552\pi\)
−0.485831 + 0.874053i \(0.661483\pi\)
\(258\) 6.17696 + 12.7631i 0.384561 + 0.794593i
\(259\) −9.73388 + 1.59579i −0.604834 + 0.0991575i
\(260\) −0.0562746 + 1.03792i −0.00349000 + 0.0643693i
\(261\) 3.88962 + 7.69221i 0.240762 + 0.476136i
\(262\) 4.85036 + 4.59451i 0.299656 + 0.283850i
\(263\) 25.7256 1.39480i 1.58631 0.0860070i 0.760264 0.649615i \(-0.225070\pi\)
0.826043 + 0.563608i \(0.190587\pi\)
\(264\) 1.81792 + 25.3516i 0.111885 + 1.56029i
\(265\) −3.85793 1.29989i −0.236990 0.0798514i
\(266\) 5.59169 + 1.88406i 0.342848 + 0.115519i
\(267\) −0.670588 9.35165i −0.0410393 0.572312i
\(268\) −2.99977 + 0.162643i −0.183240 + 0.00993500i
\(269\) −22.8665 21.6603i −1.39420 1.32065i −0.889189 0.457540i \(-0.848731\pi\)
−0.505009 0.863114i \(-0.668511\pi\)
\(270\) −5.27683 + 1.76678i −0.321138 + 0.107523i
\(271\) 0.141391 2.60781i 0.00858890 0.158413i −0.991093 0.133175i \(-0.957483\pi\)
0.999681 0.0252381i \(-0.00803440\pi\)
\(272\) 16.7110 2.73963i 1.01325 0.166114i
\(273\) 3.33916 + 6.89948i 0.202095 + 0.417576i
\(274\) −0.109700 1.00867i −0.00662719 0.0609360i
\(275\) 17.9588 + 10.8054i 1.08295 + 0.651592i
\(276\) 0.361162 0.954474i 0.0217394 0.0574526i
\(277\) 4.07037 24.8282i 0.244565 1.49178i −0.523840 0.851817i \(-0.675501\pi\)
0.768405 0.639964i \(-0.221051\pi\)
\(278\) −12.5989 + 5.82889i −0.755635 + 0.349594i
\(279\) 13.6129 + 8.55320i 0.814985 + 0.512067i
\(280\) −1.84607 + 2.42846i −0.110324 + 0.145128i
\(281\) −0.517975 + 4.76270i −0.0308998 + 0.284119i 0.968486 + 0.249069i \(0.0801245\pi\)
−0.999386 + 0.0350499i \(0.988841\pi\)
\(282\) −20.7362 + 7.39149i −1.23482 + 0.440157i
\(283\) 30.3664 + 12.0991i 1.80510 + 0.719217i 0.990208 + 0.139600i \(0.0445818\pi\)
0.814890 + 0.579616i \(0.196798\pi\)
\(284\) −0.720020 + 0.199913i −0.0427253 + 0.0118626i
\(285\) 2.88236 + 4.60691i 0.170736 + 0.272890i
\(286\) −20.1429 10.6791i −1.19107 0.631467i
\(287\) −2.84340 1.92787i −0.167840 0.113799i
\(288\) 4.31385 + 3.81015i 0.254196 + 0.224515i
\(289\) −7.17082 + 8.44215i −0.421813 + 0.496597i
\(290\) −1.13893 2.85851i −0.0668805 0.167857i
\(291\) 9.45702 5.22683i 0.554380 0.306402i
\(292\) −2.05019 3.40744i −0.119978 0.199405i
\(293\) −3.94221 11.7001i −0.230306 0.683525i −0.999034 0.0439484i \(-0.986006\pi\)
0.768727 0.639577i \(-0.220890\pi\)
\(294\) 1.77986 12.1823i 0.103804 0.710486i
\(295\) 6.18697 1.60097i 0.360219 0.0932120i
\(296\) 24.4732i 1.42247i
\(297\) −2.78126 + 25.1278i −0.161385 + 1.45806i
\(298\) −9.42609 + 5.67149i −0.546039 + 0.328541i
\(299\) 3.78246 + 4.97575i 0.218746 + 0.287755i
\(300\) 2.49072 0.593920i 0.143802 0.0342900i
\(301\) 5.89250 + 5.00514i 0.339638 + 0.288491i
\(302\) 11.0132 23.8046i 0.633737 1.36980i
\(303\) 6.49125 + 5.93776i 0.372912 + 0.341115i
\(304\) −5.64509 + 10.6478i −0.323768 + 0.610692i
\(305\) 5.06369 + 5.96143i 0.289946 + 0.341351i
\(306\) 20.4574 + 0.395393i 1.16947 + 0.0226031i
\(307\) 2.89497 7.26582i 0.165224 0.414682i −0.822930 0.568142i \(-0.807662\pi\)
0.988155 + 0.153460i \(0.0490417\pi\)
\(308\) 0.950737 + 1.79328i 0.0541733 + 0.102182i
\(309\) 3.73233 + 0.966576i 0.212325 + 0.0549866i
\(310\) −4.56889 3.47318i −0.259496 0.197263i
\(311\) 15.2976 + 4.24736i 0.867448 + 0.240846i 0.672617 0.739991i \(-0.265170\pi\)
0.194832 + 0.980837i \(0.437584\pi\)
\(312\) −18.2332 + 5.40622i −1.03225 + 0.306067i
\(313\) 9.98274 + 1.63659i 0.564258 + 0.0925053i 0.437158 0.899385i \(-0.355985\pi\)
0.127099 + 0.991890i \(0.459433\pi\)
\(314\) 1.13298 5.14718i 0.0639377 0.290472i
\(315\) −2.24273 + 2.04367i −0.126364 + 0.115148i
\(316\) −2.55253 + 0.277605i −0.143591 + 0.0156165i
\(317\) 24.3943 16.5397i 1.37012 0.928963i 0.370118 0.928985i \(-0.379317\pi\)
1.00000 2.11999e-5i \(6.74814e-6\pi\)
\(318\) −0.190022 10.9071i −0.0106559 0.611642i
\(319\) −13.9589 0.756827i −0.781546 0.0423742i
\(320\) −5.07012 5.35246i −0.283428 0.299211i
\(321\) −9.71172 12.3239i −0.542056 0.687854i
\(322\) 0.145440 + 2.68249i 0.00810507 + 0.149489i
\(323\) −4.29544 19.5144i −0.239005 1.08581i
\(324\) 1.90707 + 2.42953i 0.105948 + 0.134974i
\(325\) −5.00736 + 14.8613i −0.277758 + 0.824357i
\(326\) −30.0487 + 6.61422i −1.66424 + 0.366328i
\(327\) 1.95993 21.4994i 0.108384 1.18892i
\(328\) 5.86157 6.18798i 0.323651 0.341674i
\(329\) −8.71437 + 8.25469i −0.480439 + 0.455096i
\(330\) 1.78625 8.84632i 0.0983300 0.486974i
\(331\) −1.18709 7.24093i −0.0652484 0.397998i −0.999178 0.0405404i \(-0.987092\pi\)
0.933930 0.357457i \(-0.116356\pi\)
\(332\) 0.430186 + 0.634476i 0.0236095 + 0.0348214i
\(333\) 4.40167 23.9414i 0.241210 1.31198i
\(334\) 5.68346 9.44599i 0.310985 0.516861i
\(335\) 7.11305 + 1.56570i 0.388628 + 0.0855434i
\(336\) −6.41318 2.03716i −0.349868 0.111136i
\(337\) −3.91960 8.47207i −0.213514 0.461503i 0.770994 0.636842i \(-0.219760\pi\)
−0.984508 + 0.175339i \(0.943898\pi\)
\(338\) 0.0870867 0.313658i 0.00473689 0.0170607i
\(339\) −23.9054 + 23.4478i −1.29836 + 1.27351i
\(340\) 1.50406 + 0.163577i 0.0815693 + 0.00887120i
\(341\) −23.0362 + 12.2130i −1.24748 + 0.661373i
\(342\) −9.03482 + 11.4201i −0.488547 + 0.617530i
\(343\) −4.07241 14.6675i −0.219889 0.791969i
\(344\) −14.6199 + 12.4183i −0.788253 + 0.669548i
\(345\) −1.46275 + 1.99544i −0.0787520 + 0.107431i
\(346\) −7.36175 + 10.8578i −0.395770 + 0.583717i
\(347\) −7.03410 3.25432i −0.377610 0.174701i 0.221898 0.975070i \(-0.428775\pi\)
−0.599508 + 0.800369i \(0.704637\pi\)
\(348\) −1.28221 + 1.12815i −0.0687338 + 0.0604754i
\(349\) −2.22277 + 0.885631i −0.118982 + 0.0474067i −0.428869 0.903367i \(-0.641088\pi\)
0.309887 + 0.950773i \(0.399709\pi\)
\(350\) −5.36602 + 4.07914i −0.286826 + 0.218039i
\(351\) −18.8093 + 2.00939i −1.00397 + 0.107253i
\(352\) −8.84570 + 2.98046i −0.471478 + 0.158859i
\(353\) −1.75553 −0.0934374 −0.0467187 0.998908i \(-0.514876\pi\)
−0.0467187 + 0.998908i \(0.514876\pi\)
\(354\) 9.60741 + 14.1759i 0.510628 + 0.753438i
\(355\) 1.81165 0.0961526
\(356\) 1.76040 0.593149i 0.0933012 0.0314368i
\(357\) 10.2907 4.30938i 0.544641 0.228077i
\(358\) 17.8978 13.6056i 0.945929 0.719076i
\(359\) 2.20856 0.879971i 0.116563 0.0464431i −0.311127 0.950368i \(-0.600707\pi\)
0.427691 + 0.903925i \(0.359327\pi\)
\(360\) −4.10353 6.31148i −0.216275 0.332644i
\(361\) −4.33777 2.00686i −0.228303 0.105624i
\(362\) −5.21268 + 7.68812i −0.273972 + 0.404079i
\(363\) −17.7016 12.9761i −0.929092 0.681071i
\(364\) −1.15750 + 0.983193i −0.0606697 + 0.0515333i
\(365\) 2.57926 + 9.28964i 0.135004 + 0.486242i
\(366\) −10.4911 + 18.1446i −0.548381 + 0.948432i
\(367\) 18.6437 9.88424i 0.973191 0.515953i 0.0956296 0.995417i \(-0.469514\pi\)
0.877562 + 0.479464i \(0.159169\pi\)
\(368\) −5.45475 0.593239i −0.284348 0.0309247i
\(369\) 6.84716 4.99928i 0.356449 0.260252i
\(370\) −2.32477 + 8.37307i −0.120859 + 0.435295i
\(371\) −2.49753 5.39833i −0.129665 0.280267i
\(372\) −0.964369 + 3.03592i −0.0500002 + 0.157405i
\(373\) −10.9078 2.40098i −0.564783 0.124318i −0.0766038 0.997062i \(-0.524408\pi\)
−0.488179 + 0.872744i \(0.662339\pi\)
\(374\) −17.1080 + 28.4338i −0.884635 + 1.47027i
\(375\) −13.4041 0.492761i −0.692187 0.0254461i
\(376\) −16.7130 24.6499i −0.861908 1.27122i
\(377\) −1.69222 10.3221i −0.0871537 0.531614i
\(378\) −7.17614 3.82208i −0.369101 0.196587i
\(379\) −1.80298 + 1.70788i −0.0926130 + 0.0877277i −0.732606 0.680653i \(-0.761696\pi\)
0.639993 + 0.768381i \(0.278937\pi\)
\(380\) −0.740463 + 0.781697i −0.0379850 + 0.0401002i
\(381\) 32.1771 + 2.93332i 1.64848 + 0.150279i
\(382\) −16.0121 + 3.52452i −0.819248 + 0.180330i
\(383\) 5.35558 15.8948i 0.273657 0.812186i −0.719405 0.694591i \(-0.755585\pi\)
0.993062 0.117594i \(-0.0375182\pi\)
\(384\) 5.93800 11.6878i 0.303022 0.596440i
\(385\) −1.05784 4.80581i −0.0539124 0.244927i
\(386\) −1.42106 26.2099i −0.0723300 1.33405i
\(387\) −16.5358 + 9.51894i −0.840560 + 0.483875i
\(388\) 1.47230 + 1.55429i 0.0747448 + 0.0789072i
\(389\) 3.34406 + 0.181310i 0.169551 + 0.00919277i 0.138719 0.990332i \(-0.455702\pi\)
0.0308319 + 0.999525i \(0.490184\pi\)
\(390\) 6.75171 0.117627i 0.341886 0.00595629i
\(391\) 7.52971 5.10527i 0.380794 0.258185i
\(392\) 16.5580 1.80079i 0.836304 0.0909535i
\(393\) −5.69981 + 6.95223i −0.287517 + 0.350694i
\(394\) −1.92954 + 8.76600i −0.0972089 + 0.441625i
\(395\) 6.14286 + 1.00707i 0.309081 + 0.0506712i
\(396\) −4.95784 + 0.714708i −0.249141 + 0.0359155i
\(397\) 24.1678 + 6.71016i 1.21295 + 0.336773i 0.814361 0.580358i \(-0.197087\pi\)
0.398586 + 0.917131i \(0.369501\pi\)
\(398\) −18.6005 14.1397i −0.932358 0.708760i
\(399\) −1.99057 + 7.68635i −0.0996529 + 0.384799i
\(400\) −6.44861 12.1634i −0.322430 0.608168i
\(401\) 1.64615 4.13152i 0.0822048 0.206318i −0.882129 0.471008i \(-0.843890\pi\)
0.964334 + 0.264690i \(0.0852695\pi\)
\(402\) 2.44776 + 19.3624i 0.122083 + 0.965710i
\(403\) −12.6300 14.8691i −0.629143 0.740685i
\(404\) −0.816464 + 1.54001i −0.0406206 + 0.0766186i
\(405\) −2.87920 6.91238i −0.143069 0.343479i
\(406\) 1.88774 4.08028i 0.0936869 0.202501i
\(407\) 30.0892 + 25.5580i 1.49146 + 1.26686i
\(408\) 6.42052 + 26.9257i 0.317863 + 1.33302i
\(409\) −4.21152 5.54016i −0.208246 0.273943i 0.680098 0.733121i \(-0.261937\pi\)
−0.888344 + 0.459178i \(0.848144\pi\)
\(410\) −2.59325 + 1.56031i −0.128071 + 0.0770580i
\(411\) 1.34325 0.244315i 0.0662579 0.0120512i
\(412\) 0.763900i 0.0376346i
\(413\) 7.91475 + 4.95411i 0.389459 + 0.243776i
\(414\) −6.35264 1.89676i −0.312215 0.0932208i
\(415\) −0.593409 1.76117i −0.0291293 0.0864526i
\(416\) −3.60078 5.98454i −0.176543 0.293416i
\(417\) −9.03598 16.3490i −0.442494 0.800614i
\(418\) −8.74128 21.9390i −0.427550 1.07307i
\(419\) −11.0073 + 12.9588i −0.537741 + 0.633078i −0.962192 0.272373i \(-0.912191\pi\)
0.424450 + 0.905451i \(0.360467\pi\)
\(420\) −0.503394 0.328657i −0.0245631 0.0160368i
\(421\) −1.07626 0.729722i −0.0524537 0.0355645i 0.534678 0.845056i \(-0.320433\pi\)
−0.587132 + 0.809491i \(0.699743\pi\)
\(422\) 16.1305 + 8.55185i 0.785221 + 0.416298i
\(423\) −11.9164 27.1202i −0.579396 1.31863i
\(424\) 14.2199 3.94813i 0.690578 0.191738i
\(425\) 21.2046 + 8.44867i 1.02857 + 0.409821i
\(426\) 1.62996 + 4.57271i 0.0789718 + 0.221549i
\(427\) −1.23560 + 11.3611i −0.0597948 + 0.549804i
\(428\) 1.88140 2.47495i 0.0909411 0.119631i
\(429\) 12.3946 28.0631i 0.598415 1.35490i
\(430\) 6.18160 2.85991i 0.298103 0.137917i
\(431\) −5.29163 + 32.2775i −0.254889 + 1.55475i 0.480430 + 0.877033i \(0.340481\pi\)
−0.735319 + 0.677721i \(0.762968\pi\)
\(432\) 10.0748 13.2009i 0.484725 0.635130i
\(433\) 17.2668 + 10.3891i 0.829788 + 0.499267i 0.865980 0.500078i \(-0.166695\pi\)
−0.0361923 + 0.999345i \(0.511523\pi\)
\(434\) −0.906612 8.33616i −0.0435188 0.400148i
\(435\) 3.72700 1.80377i 0.178696 0.0864840i
\(436\) 4.22109 0.692013i 0.202154 0.0331414i
\(437\) −0.350514 + 6.46486i −0.0167674 + 0.309256i
\(438\) −21.1270 + 14.8682i −1.00949 + 0.710428i
\(439\) −13.7847 13.0576i −0.657908 0.623204i 0.284100 0.958795i \(-0.408305\pi\)
−0.942008 + 0.335591i \(0.891064\pi\)
\(440\) 12.1912 0.660990i 0.581195 0.0315115i
\(441\) 16.5221 + 1.21641i 0.786766 + 0.0579242i
\(442\) −23.5296 7.92805i −1.11919 0.377099i
\(443\) 20.7572 + 6.99392i 0.986206 + 0.332291i 0.765773 0.643111i \(-0.222357\pi\)
0.220432 + 0.975402i \(0.429253\pi\)
\(444\) 4.81078 0.344971i 0.228309 0.0163716i
\(445\) −4.49707 + 0.243824i −0.213182 + 0.0115584i
\(446\) 6.69221 + 6.33919i 0.316885 + 0.300170i
\(447\) −8.51935 12.1056i −0.402951 0.572576i
\(448\) 0.583178 10.7561i 0.0275526 0.508177i
\(449\) −30.4787 + 4.99673i −1.43838 + 0.235810i −0.829968 0.557811i \(-0.811641\pi\)
−0.608412 + 0.793621i \(0.708193\pi\)
\(450\) −5.00583 15.8635i −0.235977 0.747812i
\(451\) 1.48659 + 13.6689i 0.0700006 + 0.643645i
\(452\) −5.68492 3.42050i −0.267396 0.160887i
\(453\) 33.0099 + 12.4906i 1.55094 + 0.586857i
\(454\) −4.16073 + 25.3793i −0.195273 + 1.19111i
\(455\) 3.34166 1.54602i 0.156660 0.0724784i
\(456\) −18.0204 7.95903i −0.843883 0.372716i
\(457\) 15.5850 20.5017i 0.729035 0.959029i −0.270959 0.962591i \(-0.587341\pi\)
0.999994 + 0.00356212i \(0.00113386\pi\)
\(458\) −1.01042 + 9.29069i −0.0472140 + 0.434125i
\(459\) 1.43823 + 27.4954i 0.0671307 + 1.28338i
\(460\) −0.455398 0.181447i −0.0212331 0.00846002i
\(461\) −39.5884 + 10.9917i −1.84382 + 0.511933i −0.999706 0.0242368i \(-0.992284\pi\)
−0.844110 + 0.536170i \(0.819871\pi\)
\(462\) 11.1784 6.99387i 0.520065 0.325384i
\(463\) 30.5167 + 16.1789i 1.41823 + 0.751898i 0.988523 0.151071i \(-0.0482723\pi\)
0.429706 + 0.902969i \(0.358617\pi\)
\(464\) 7.60024 + 5.15309i 0.352832 + 0.239226i
\(465\) 4.22189 6.46653i 0.195785 0.299878i
\(466\) 21.7486 25.6044i 1.00748 1.18610i
\(467\) 10.1479 + 25.4693i 0.469589 + 1.17858i 0.952942 + 0.303153i \(0.0980394\pi\)
−0.483353 + 0.875426i \(0.660581\pi\)
\(468\) −1.31973 3.50795i −0.0610046 0.162155i
\(469\) 5.48626 + 9.11824i 0.253332 + 0.421041i
\(470\) 3.37651 + 10.0211i 0.155747 + 0.462241i
\(471\) 7.01746 + 1.02527i 0.323347 + 0.0472419i
\(472\) −15.3067 + 17.3900i −0.704548 + 0.800442i
\(473\) 30.9436i 1.42279i
\(474\) 2.98488 + 16.4110i 0.137100 + 0.753781i
\(475\) −13.9193 + 8.37498i −0.638662 + 0.384270i
\(476\) 1.33774 + 1.75977i 0.0613153 + 0.0806589i
\(477\) 14.6210 1.30480i 0.669450 0.0597426i
\(478\) 1.25103 + 1.06264i 0.0572209 + 0.0486039i
\(479\) 1.65587 3.57909i 0.0756584 0.163533i −0.866055 0.499948i \(-0.833352\pi\)
0.941714 + 0.336415i \(0.109214\pi\)
\(480\) 1.86606 2.04000i 0.0851734 0.0931129i
\(481\) −13.8365 + 26.0985i −0.630891 + 1.18999i
\(482\) 21.4010 + 25.1952i 0.974789 + 1.14761i
\(483\) −3.58637 + 0.453381i −0.163185 + 0.0206296i
\(484\) 1.60963 4.03986i 0.0731648 0.183630i
\(485\) −2.43124 4.58580i −0.110397 0.208231i
\(486\) 14.8568 13.4864i 0.673918 0.611755i
\(487\) −22.5795 17.1645i −1.02317 0.777796i −0.0479124 0.998852i \(-0.515257\pi\)
−0.975261 + 0.221055i \(0.929050\pi\)
\(488\) −27.3209 7.58561i −1.23676 0.343384i
\(489\) −11.7695 39.6941i −0.532234 1.79503i
\(490\) −5.83609 0.956778i −0.263648 0.0432228i
\(491\) −2.10631 + 9.56904i −0.0950562 + 0.431845i 0.904924 + 0.425573i \(0.139927\pi\)
−0.999980 + 0.00627184i \(0.998004\pi\)
\(492\) 1.29902 + 1.06500i 0.0585643 + 0.0480141i
\(493\) −15.1353 + 1.64606i −0.681658 + 0.0741348i
\(494\) 14.6257 9.91649i 0.658043 0.446164i
\(495\) 12.0452 + 1.54605i 0.541393 + 0.0694899i
\(496\) 17.1015 + 0.927217i 0.767881 + 0.0416333i
\(497\) 1.82031 + 1.92168i 0.0816522 + 0.0861992i
\(498\) 3.91141 3.08234i 0.175274 0.138123i
\(499\) 0.805322 + 14.8533i 0.0360511 + 0.664924i 0.959587 + 0.281412i \(0.0908028\pi\)
−0.923536 + 0.383512i \(0.874714\pi\)
\(500\) −0.571310 2.59549i −0.0255498 0.116074i
\(501\) 13.2252 + 6.71908i 0.590857 + 0.300186i
\(502\) −1.33189 + 3.95290i −0.0594450 + 0.176426i
\(503\) −31.9081 + 7.02351i −1.42271 + 0.313163i −0.858647 0.512567i \(-0.828694\pi\)
−0.564065 + 0.825730i \(0.690763\pi\)
\(504\) 2.57165 10.6944i 0.114550 0.476366i
\(505\) 2.90613 3.06797i 0.129321 0.136523i
\(506\) 7.80597 7.39420i 0.347018 0.328712i
\(507\) 0.429365 + 0.0866976i 0.0190688 + 0.00385038i
\(508\) 1.03570 + 6.31750i 0.0459518 + 0.280294i
\(509\) −12.5350 18.4878i −0.555605 0.819456i 0.441358 0.897331i \(-0.354497\pi\)
−0.996963 + 0.0778749i \(0.975187\pi\)
\(510\) 0.361078 9.82207i 0.0159888 0.434929i
\(511\) −7.26225 + 12.0699i −0.321263 + 0.533943i
\(512\) 24.8153 + 5.46226i 1.09669 + 0.241400i
\(513\) −16.1974 11.0272i −0.715131 0.486862i
\(514\) 14.1473 + 30.5788i 0.624010 + 1.34877i
\(515\) 0.495462 1.78449i 0.0218327 0.0786342i
\(516\) −2.64718 2.69884i −0.116536 0.118810i
\(517\) 47.7602 + 5.19424i 2.10049 + 0.228442i
\(518\) −11.2175 + 5.94713i −0.492868 + 0.261302i
\(519\) −15.2816 8.83575i −0.670786 0.387847i
\(520\) 2.44396 + 8.80236i 0.107175 + 0.386009i
\(521\) 27.9368 23.7297i 1.22393 1.03962i 0.226080 0.974109i \(-0.427409\pi\)
0.997852 0.0655086i \(-0.0208670\pi\)
\(522\) 7.90602 + 7.78430i 0.346037 + 0.340710i
\(523\) −3.96119 + 5.84232i −0.173211 + 0.255467i −0.904379 0.426731i \(-0.859665\pi\)
0.731168 + 0.682198i \(0.238976\pi\)
\(524\) −1.61662 0.747926i −0.0706222 0.0326733i
\(525\) −5.99137 6.80954i −0.261485 0.297193i
\(526\) 30.8067 12.2745i 1.34324 0.535194i
\(527\) −22.6058 + 17.1845i −0.984722 + 0.748566i
\(528\) 10.4028 + 24.8416i 0.452723 + 1.08109i
\(529\) 19.0027 6.40274i 0.826203 0.278380i
\(530\) −5.24013 −0.227617
\(531\) −18.1018 + 14.2592i −0.785552 + 0.618795i
\(532\) −1.57317 −0.0682058
\(533\) −9.74938 + 3.28495i −0.422292 + 0.142287i
\(534\) −4.66148 11.1315i −0.201722 0.481707i
\(535\) −6.00026 + 4.56128i −0.259414 + 0.197201i
\(536\) −24.5274 + 9.77263i −1.05942 + 0.422113i
\(537\) 19.9836 + 22.7125i 0.862357 + 0.980118i
\(538\) −36.7949 17.0231i −1.58634 0.733918i
\(539\) −15.0779 + 22.2382i −0.649451 + 0.957869i
\(540\) 1.18283 0.895611i 0.0509007 0.0385409i
\(541\) −4.58046 + 3.89068i −0.196929 + 0.167273i −0.740426 0.672138i \(-0.765376\pi\)
0.543496 + 0.839412i \(0.317100\pi\)
\(542\) −0.899332 3.23910i −0.0386296 0.139131i
\(543\) −10.8205 6.25639i −0.464352 0.268487i
\(544\) −8.98155 + 4.76172i −0.385081 + 0.204157i
\(545\) −10.3094 1.12122i −0.441608 0.0480278i
\(546\) 6.90876 + 7.04358i 0.295667 + 0.301437i
\(547\) −1.99631 + 7.19007i −0.0853562 + 0.307425i −0.993888 0.110390i \(-0.964790\pi\)
0.908532 + 0.417815i \(0.137204\pi\)
\(548\) 0.113585 + 0.245510i 0.00485211 + 0.0104877i
\(549\) −25.3629 12.3346i −1.08246 0.526429i
\(550\) 26.3470 + 5.79942i 1.12344 + 0.247288i
\(551\) 5.58602 9.28404i 0.237972 0.395513i
\(552\) 0.329494 8.96292i 0.0140242 0.381487i
\(553\) 5.10398 + 7.52781i 0.217044 + 0.320115i
\(554\) −5.23928 31.9582i −0.222596 1.35777i
\(555\) −11.4619 2.31439i −0.486530 0.0982403i
\(556\) 2.68701 2.54527i 0.113955 0.107944i
\(557\) 0.478651 0.505306i 0.0202811 0.0214105i −0.715776 0.698330i \(-0.753927\pi\)
0.736057 + 0.676919i \(0.236685\pi\)
\(558\) 20.1203 + 4.83828i 0.851762 + 0.204821i
\(559\) 22.6118 4.97724i 0.956378 0.210515i
\(560\) −1.03208 + 3.06311i −0.0436134 + 0.129440i
\(561\) −39.8096 20.2254i −1.68076 0.853916i
\(562\) 1.32563 + 6.02240i 0.0559184 + 0.254040i
\(563\) 0.644252 + 11.8825i 0.0271520 + 0.500789i 0.980205 + 0.197986i \(0.0634399\pi\)
−0.953053 + 0.302804i \(0.902077\pi\)
\(564\) 4.60992 3.63280i 0.194113 0.152968i
\(565\) 11.0616 + 11.6776i 0.465367 + 0.491281i
\(566\) 42.0135 + 2.27791i 1.76596 + 0.0957476i
\(567\) 4.43923 9.99949i 0.186430 0.419939i
\(568\) −5.43575 + 3.68553i −0.228079 + 0.154641i
\(569\) 29.4794 3.20608i 1.23584 0.134406i 0.533224 0.845974i \(-0.320980\pi\)
0.702617 + 0.711568i \(0.252015\pi\)
\(570\) 5.40932 + 4.43485i 0.226572 + 0.185755i
\(571\) −5.43900 + 24.7096i −0.227615 + 1.03407i 0.714724 + 0.699406i \(0.246552\pi\)
−0.942339 + 0.334659i \(0.891379\pi\)
\(572\) 5.99838 + 0.983384i 0.250805 + 0.0411173i
\(573\) −6.27160 21.1518i −0.262000 0.883628i
\(574\) −4.26071 1.18298i −0.177839 0.0493767i
\(575\) −5.88783 4.47581i −0.245539 0.186654i
\(576\) 24.5008 + 10.3150i 1.02087 + 0.429792i
\(577\) −8.47127 15.9785i −0.352664 0.665194i 0.642187 0.766548i \(-0.278027\pi\)
−0.994850 + 0.101354i \(0.967683\pi\)
\(578\) −5.27724 + 13.2449i −0.219504 + 0.550915i
\(579\) 35.0415 4.42987i 1.45628 0.184099i
\(580\) 0.531107 + 0.625268i 0.0220530 + 0.0259628i
\(581\) 1.27189 2.39904i 0.0527669 0.0995289i
\(582\) 9.38742 10.2625i 0.389121 0.425393i
\(583\) −9.99606 + 21.6061i −0.413995 + 0.894835i
\(584\) −26.6372 22.6259i −1.10226 0.936266i
\(585\) 0.807693 + 9.05066i 0.0333940 + 0.374199i
\(586\) −9.61738 12.6515i −0.397290 0.522627i
\(587\) 20.9541 12.6076i 0.864867 0.520373i −0.0126492 0.999920i \(-0.504026\pi\)
0.877516 + 0.479547i \(0.159199\pi\)
\(588\) 0.587387 + 3.22948i 0.0242234 + 0.133181i
\(589\) 20.2088i 0.832689i
\(590\) 6.88885 4.49568i 0.283609 0.185084i
\(591\) −11.9512 1.74610i −0.491607 0.0718251i
\(592\) −8.28012 24.5745i −0.340311 1.01001i
\(593\) −8.35294 13.8827i −0.343014 0.570094i 0.636548 0.771237i \(-0.280362\pi\)
−0.979562 + 0.201144i \(0.935534\pi\)
\(594\) 6.93487 + 31.7938i 0.284541 + 1.30452i
\(595\) −1.98363 4.97853i −0.0813208 0.204100i
\(596\) 1.89876 2.23540i 0.0777763 0.0915654i
\(597\) 17.1878 26.3260i 0.703449 1.07745i
\(598\) 6.65885 + 4.51481i 0.272301 + 0.184624i
\(599\) −7.19539 3.81476i −0.293996 0.155867i 0.314882 0.949131i \(-0.398035\pi\)
−0.608878 + 0.793264i \(0.708380\pi\)
\(600\) 19.0775 11.9361i 0.778837 0.487287i
\(601\) −38.6431 + 10.7292i −1.57628 + 0.437653i −0.942046 0.335484i \(-0.891100\pi\)
−0.634239 + 0.773137i \(0.718686\pi\)
\(602\) 9.24475 + 3.68344i 0.376788 + 0.150126i
\(603\) −25.7522 + 5.14885i −1.04871 + 0.209677i
\(604\) −0.756074 + 6.95198i −0.0307642 + 0.282872i
\(605\) −6.38037 + 8.39324i −0.259399 + 0.341234i
\(606\) 10.3584 + 4.57497i 0.420781 + 0.185845i
\(607\) −28.0703 + 12.9867i −1.13934 + 0.527114i −0.896540 0.442963i \(-0.853927\pi\)
−0.242798 + 0.970077i \(0.578065\pi\)
\(608\) 1.17045 7.13945i 0.0474682 0.289543i
\(609\) 5.65813 + 2.14097i 0.229279 + 0.0867565i
\(610\) 8.62679 + 5.19057i 0.349289 + 0.210160i
\(611\) 3.88652 + 35.7360i 0.157232 + 1.44572i
\(612\) −5.20238 + 1.64165i −0.210294 + 0.0663596i
\(613\) −17.5165 + 2.87168i −0.707484 + 0.115986i −0.504772 0.863253i \(-0.668424\pi\)
−0.202711 + 0.979239i \(0.564975\pi\)
\(614\) 0.545038 10.0526i 0.0219959 0.405691i
\(615\) −2.34379 3.33042i −0.0945108 0.134296i
\(616\) 12.9506 + 12.2675i 0.521797 + 0.494272i
\(617\) −31.0111 + 1.68137i −1.24846 + 0.0676895i −0.666486 0.745518i \(-0.732202\pi\)
−0.581974 + 0.813207i \(0.697720\pi\)
\(618\) 4.94993 0.354950i 0.199116 0.0142782i
\(619\) −9.47963 3.19406i −0.381019 0.128380i 0.122274 0.992496i \(-0.460981\pi\)
−0.503292 + 0.864116i \(0.667878\pi\)
\(620\) 1.45004 + 0.488575i 0.0582350 + 0.0196217i
\(621\) 1.93438 8.70891i 0.0776240 0.349477i
\(622\) 20.4056 1.10636i 0.818191 0.0443610i
\(623\) −4.77720 4.52521i −0.191395 0.181299i
\(624\) −16.4796 + 11.5975i −0.659710 + 0.464272i
\(625\) 0.817264 15.0736i 0.0326906 0.602942i
\(626\) 12.8495 2.10657i 0.513571 0.0841956i
\(627\) 28.6046 13.8438i 1.14236 0.552869i
\(628\) 0.151925 + 1.39693i 0.00606246 + 0.0557434i
\(629\) 36.8407 + 22.1663i 1.46893 + 0.883828i
\(630\) −1.89574 + 3.41461i −0.0755279 + 0.136041i
\(631\) −3.23237 + 19.7166i −0.128679 + 0.784905i 0.841093 + 0.540891i \(0.181913\pi\)
−0.969772 + 0.244015i \(0.921536\pi\)
\(632\) −20.4800 + 9.47505i −0.814650 + 0.376897i
\(633\) −9.92561 + 22.4730i −0.394508 + 0.893223i
\(634\) 22.9582 30.2011i 0.911788 1.19944i
\(635\) 1.67807 15.4296i 0.0665923 0.612306i
\(636\) 0.976540 + 2.73960i 0.0387223 + 0.108632i
\(637\) −18.6757 7.44109i −0.739959 0.294827i
\(638\) −17.3380 + 4.81387i −0.686418 + 0.190583i
\(639\) −5.98051 + 2.62779i −0.236585 + 0.103954i
\(640\) −5.56379 2.94973i −0.219928 0.116598i
\(641\) 19.5439 + 13.2511i 0.771939 + 0.523388i 0.882404 0.470492i \(-0.155924\pi\)
−0.110465 + 0.993880i \(0.535234\pi\)
\(642\) −16.9114 11.0412i −0.667440 0.435760i
\(643\) 5.57470 6.56305i 0.219845 0.258821i −0.641173 0.767397i \(-0.721552\pi\)
0.861018 + 0.508575i \(0.169828\pi\)
\(644\) −0.265108 0.665371i −0.0104467 0.0262193i
\(645\) 4.43345 + 8.02153i 0.174567 + 0.315848i
\(646\) −13.2599 22.0382i −0.521705 0.867080i
\(647\) 9.44130 + 28.0208i 0.371176 + 1.10161i 0.956730 + 0.290977i \(0.0939803\pi\)
−0.585554 + 0.810633i \(0.699123\pi\)
\(648\) 22.7010 + 14.8829i 0.891781 + 0.584655i
\(649\) −5.39547 36.9801i −0.211791 1.45160i
\(650\) 20.1858i 0.791751i
\(651\) 11.1013 2.01914i 0.435095 0.0791364i
\(652\) 7.02898 4.22920i 0.275276 0.165628i
\(653\) 20.4387 + 26.8866i 0.799827 + 1.05215i 0.997414 + 0.0718686i \(0.0228962\pi\)
−0.197588 + 0.980285i \(0.563311\pi\)
\(654\) −6.44548 27.0304i −0.252038 1.05697i
\(655\) 3.29136 + 2.79571i 0.128604 + 0.109237i
\(656\) 3.79224 8.19679i 0.148062 0.320031i
\(657\) −21.9890 26.9251i −0.857874 1.05045i
\(658\) −7.23710 + 13.6506i −0.282132 + 0.532157i
\(659\) −14.1531 16.6623i −0.551326 0.649071i 0.413951 0.910299i \(-0.364149\pi\)
−0.965277 + 0.261228i \(0.915873\pi\)
\(660\) 0.301780 + 2.38716i 0.0117468 + 0.0929200i
\(661\) 0.314680 0.789788i 0.0122396 0.0307192i −0.922730 0.385447i \(-0.874047\pi\)
0.934970 + 0.354728i \(0.115427\pi\)
\(662\) −4.42401 8.34457i −0.171944 0.324321i
\(663\) 8.37623 32.3439i 0.325306 1.25613i
\(664\) 5.36332 + 4.07709i 0.208137 + 0.158222i
\(665\) 3.67499 + 1.02036i 0.142510 + 0.0395677i
\(666\) −4.47071 31.0127i −0.173236 1.20172i
\(667\) 4.86800 + 0.798069i 0.188490 + 0.0309013i
\(668\) −0.631832 + 2.87044i −0.0244463 + 0.111061i
\(669\) −7.86422 + 9.59223i −0.304048 + 0.370857i
\(670\) 9.31997 1.01361i 0.360062 0.0391591i
\(671\) 37.8582 25.6685i 1.46150 0.990922i
\(672\) 4.03887 0.0703646i 0.155803 0.00271437i
\(673\) 10.9178 + 0.591944i 0.420849 + 0.0228178i 0.263348 0.964701i \(-0.415173\pi\)
0.157501 + 0.987519i \(0.449656\pi\)
\(674\) −8.26310 8.72325i −0.318283 0.336007i
\(675\) 20.8098 8.24547i 0.800969 0.317368i
\(676\) 0.00469867 + 0.0866619i 0.000180718 + 0.00333315i
\(677\) 8.94966 + 40.6587i 0.343963 + 1.56264i 0.757922 + 0.652345i \(0.226215\pi\)
−0.413958 + 0.910296i \(0.635854\pi\)
\(678\) −19.5227 + 38.4266i −0.749766 + 1.47577i
\(679\) 2.42145 7.18662i 0.0929269 0.275797i
\(680\) 12.9858 2.85838i 0.497981 0.109614i
\(681\) −34.4639 3.14180i −1.32066 0.120394i
\(682\) −23.0800 + 24.3652i −0.883778 + 0.932994i
\(683\) −4.39114 + 4.15951i −0.168022 + 0.159159i −0.767091 0.641539i \(-0.778296\pi\)
0.599068 + 0.800698i \(0.295538\pi\)
\(684\) 1.31052 3.65452i 0.0501090 0.139734i
\(685\) −0.106101 0.647190i −0.00405393 0.0247279i
\(686\) −10.9958 16.2176i −0.419821 0.619190i
\(687\) −12.5670 0.461985i −0.479460 0.0176258i
\(688\) −10.4789 + 17.4161i −0.399506 + 0.663983i
\(689\) −17.3964 3.82924i −0.662750 0.145882i
\(690\) −0.964143 + 3.03521i −0.0367043 + 0.115548i
\(691\) −4.18368 9.04288i −0.159155 0.344007i 0.811550 0.584283i \(-0.198624\pi\)
−0.970705 + 0.240276i \(0.922762\pi\)
\(692\) 0.935679 3.37001i 0.0355692 0.128109i
\(693\) 10.4629 + 14.3302i 0.397451 + 0.544360i
\(694\) −9.91768 1.07861i −0.376470 0.0409436i
\(695\) −7.92779 + 4.20305i −0.300718 + 0.159431i
\(696\) −7.51316 + 12.9941i −0.284785 + 0.492540i
\(697\) 4.00603 + 14.4284i 0.151739 + 0.546515i
\(698\) −2.34733 + 1.99384i −0.0888477 + 0.0754679i
\(699\) 36.4588 + 26.7261i 1.37900 + 1.01087i
\(700\) 1.00851 1.48744i 0.0381180 0.0562199i
\(701\) −16.5750 7.66841i −0.626029 0.289632i 0.0811112 0.996705i \(-0.474153\pi\)
−0.707141 + 0.707073i \(0.750015\pi\)
\(702\) −22.1177 + 10.1816i −0.834778 + 0.384280i
\(703\) −28.4256 + 11.3258i −1.07209 + 0.427160i
\(704\) −34.3220 + 26.0909i −1.29356 + 0.983339i
\(705\) −13.1252 + 5.49636i −0.494322 + 0.207005i
\(706\) −2.14139 + 0.721518i −0.0805922 + 0.0271547i
\(707\) 6.17432 0.232209
\(708\) −3.63419 2.76376i −0.136581 0.103869i
\(709\) 43.9777 1.65162 0.825809 0.563949i \(-0.190719\pi\)
0.825809 + 0.563949i \(0.190719\pi\)
\(710\) 2.20985 0.744584i 0.0829341 0.0279437i
\(711\) −21.7391 + 5.58570i −0.815281 + 0.209480i
\(712\) 12.9972 9.88018i 0.487089 0.370276i
\(713\) 8.54726 3.40554i 0.320097 0.127538i
\(714\) 10.7814 9.48602i 0.403484 0.355005i
\(715\) −13.3746 6.18774i −0.500181 0.231408i
\(716\) −3.36378 + 4.96120i −0.125710 + 0.185409i
\(717\) −1.30584 + 1.78138i −0.0487675 + 0.0665268i
\(718\) 2.33233 1.98110i 0.0870417 0.0739339i
\(719\) −10.8538 39.0918i −0.404778 1.45788i −0.832528 0.553983i \(-0.813107\pi\)
0.427750 0.903897i \(-0.359306\pi\)
\(720\) −6.25591 4.94925i −0.233144 0.184448i
\(721\) 2.39070 1.26747i 0.0890344 0.0472031i
\(722\) −6.11600 0.665156i −0.227614 0.0247545i
\(723\) −31.7566 + 31.1488i −1.18104 + 1.15844i
\(724\) 0.662532 2.38622i 0.0246228 0.0886833i
\(725\) 5.19706 + 11.2333i 0.193014 + 0.417193i
\(726\) −26.9255 8.55295i −0.999298 0.317430i
\(727\) −48.9232 10.7688i −1.81446 0.399393i −0.827647 0.561249i \(-0.810321\pi\)
−0.986814 + 0.161856i \(0.948252\pi\)
\(728\) −6.88131 + 11.4368i −0.255038 + 0.423877i
\(729\) 19.5310 + 18.6424i 0.723370 + 0.690461i
\(730\) 6.96418 + 10.2714i 0.257756 + 0.380162i
\(731\) −5.45201 33.2558i −0.201650 1.23001i
\(732\) 1.10602 5.47749i 0.0408796 0.202454i
\(733\) 12.6788 12.0100i 0.468303 0.443600i −0.416798 0.908999i \(-0.636848\pi\)
0.885101 + 0.465399i \(0.154089\pi\)
\(734\) 18.6791 19.7193i 0.689457 0.727851i
\(735\) 0.722471 7.92514i 0.0266488 0.292323i
\(736\) 3.21686 0.708084i 0.118575 0.0261003i
\(737\) 13.5994 40.3617i 0.500942 1.48674i
\(738\) 6.29745 8.91227i 0.231812 0.328065i
\(739\) −0.448779 2.03883i −0.0165086 0.0749994i 0.967646 0.252312i \(-0.0811908\pi\)
−0.984155 + 0.177312i \(0.943260\pi\)
\(740\) −0.125431 2.31343i −0.00461092 0.0850435i
\(741\) 14.7173 + 18.6759i 0.540654 + 0.686076i
\(742\) −5.26518 5.55838i −0.193291 0.204055i
\(743\) −2.01894 0.109464i −0.0740678 0.00401584i 0.0170678 0.999854i \(-0.494567\pi\)
−0.0911356 + 0.995838i \(0.529050\pi\)
\(744\) 0.487658 + 27.9912i 0.0178784 + 1.02621i
\(745\) −5.88544 + 3.99043i −0.215626 + 0.146198i
\(746\) −14.2920 + 1.55435i −0.523269 + 0.0569089i
\(747\) 4.51349 + 4.95313i 0.165140 + 0.181226i
\(748\) 1.90190 8.64043i 0.0695404 0.315925i
\(749\) −10.8672 1.78159i −0.397080 0.0650980i
\(750\) −16.5528 + 4.90799i −0.604424 + 0.179215i
\(751\) −33.9405 9.42352i −1.23851 0.343869i −0.414289 0.910145i \(-0.635970\pi\)
−0.824216 + 0.566276i \(0.808384\pi\)
\(752\) −25.1221 19.0974i −0.916110 0.696409i
\(753\) −5.43367 1.40718i −0.198014 0.0512805i
\(754\) −6.30651 11.8953i −0.229669 0.433203i
\(755\) 6.27524 15.7497i 0.228379 0.573189i
\(756\) 2.13848 + 0.354772i 0.0777759 + 0.0129029i
\(757\) −28.6672 33.7496i −1.04193 1.22665i −0.973427 0.228998i \(-0.926455\pi\)
−0.0684985 0.997651i \(-0.521821\pi\)
\(758\) −1.49734 + 2.82428i −0.0543858 + 0.102583i
\(759\) 10.6756 + 9.76532i 0.387500 + 0.354459i
\(760\) −3.97339 + 8.58834i −0.144130 + 0.311532i
\(761\) −18.5425 15.7502i −0.672165 0.570943i 0.244964 0.969532i \(-0.421224\pi\)
−0.917129 + 0.398590i \(0.869500\pi\)
\(762\) 40.4550 9.64662i 1.46553 0.349460i
\(763\) −9.16941 12.0622i −0.331955 0.436679i
\(764\) 3.74553 2.25361i 0.135509 0.0815328i
\(765\) 13.2177 0.460693i 0.477887 0.0166564i
\(766\) 21.5895i 0.780061i
\(767\) 26.1551 9.89091i 0.944407 0.357140i
\(768\) −1.99817 + 13.6765i −0.0721026 + 0.493507i
\(769\) −14.9780 44.4532i −0.540121 1.60302i −0.775655 0.631157i \(-0.782580\pi\)
0.235534 0.971866i \(-0.424316\pi\)
\(770\) −3.26552 5.42733i −0.117681 0.195588i
\(771\) −39.6806 + 21.9312i −1.42906 + 0.789832i
\(772\) 2.59030 + 6.50117i 0.0932270 + 0.233982i
\(773\)