Properties

Label 273.2.by.d.223.7
Level $273$
Weight $2$
Character 273.223
Analytic conductor $2.180$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.by (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 223.7
Character \(\chi\) \(=\) 273.223
Dual form 273.2.by.d.202.7

$q$-expansion

\(f(q)\) \(=\) \(q+(1.96303 + 0.525993i) q^{2} +(0.866025 - 0.500000i) q^{3} +(1.84478 + 1.06508i) q^{4} +(-1.56698 - 1.56698i) q^{5} +(1.96303 - 0.525993i) q^{6} +(2.60496 + 0.462799i) q^{7} +(0.187059 + 0.187059i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(1.96303 + 0.525993i) q^{2} +(0.866025 - 0.500000i) q^{3} +(1.84478 + 1.06508i) q^{4} +(-1.56698 - 1.56698i) q^{5} +(1.96303 - 0.525993i) q^{6} +(2.60496 + 0.462799i) q^{7} +(0.187059 + 0.187059i) q^{8} +(0.500000 - 0.866025i) q^{9} +(-2.25182 - 3.90026i) q^{10} +(-1.16197 + 4.33653i) q^{11} +2.13017 q^{12} +(3.51879 - 0.786201i) q^{13} +(4.87020 + 2.27868i) q^{14} +(-2.14054 - 0.573555i) q^{15} +(-1.86136 - 3.22397i) q^{16} +(-1.31427 + 2.27639i) q^{17} +(1.43704 - 1.43704i) q^{18} +(-6.01372 + 1.61137i) q^{19} +(-1.22177 - 4.55971i) q^{20} +(2.48736 - 0.901685i) q^{21} +(-4.56197 + 7.90156i) q^{22} +(-4.58893 + 2.64942i) q^{23} +(0.255528 + 0.0684684i) q^{24} -0.0891302i q^{25} +(7.32104 + 0.307521i) q^{26} -1.00000i q^{27} +(4.31266 + 3.62827i) q^{28} +(-2.06391 - 3.57480i) q^{29} +(-3.90026 - 2.25182i) q^{30} +(2.44135 + 2.44135i) q^{31} +(-2.09506 - 7.81887i) q^{32} +(1.16197 + 4.33653i) q^{33} +(-3.77733 + 3.77733i) q^{34} +(-3.35673 - 4.80713i) q^{35} +(1.84478 - 1.06508i) q^{36} +(0.0290943 - 0.108582i) q^{37} -12.6527 q^{38} +(2.65426 - 2.44027i) q^{39} -0.586237i q^{40} +(-2.03234 + 7.58481i) q^{41} +(5.35705 - 0.461702i) q^{42} +(-5.47731 - 3.16233i) q^{43} +(-6.76235 + 6.76235i) q^{44} +(-2.14054 + 0.573555i) q^{45} +(-10.4018 + 2.78716i) q^{46} +(5.82732 - 5.82732i) q^{47} +(-3.22397 - 1.86136i) q^{48} +(6.57163 + 2.41114i) q^{49} +(0.0468819 - 0.174966i) q^{50} +2.62855i q^{51} +(7.32877 + 2.29744i) q^{52} +9.24486 q^{53} +(0.525993 - 1.96303i) q^{54} +(8.61605 - 4.97448i) q^{55} +(0.400711 + 0.573853i) q^{56} +(-4.40235 + 4.40235i) q^{57} +(-2.17121 - 8.10305i) q^{58} +(-1.27986 - 4.77649i) q^{59} +(-3.33794 - 3.33794i) q^{60} +(3.33568 + 1.92586i) q^{61} +(3.50831 + 6.07658i) q^{62} +(1.70328 - 2.02456i) q^{63} -9.00526i q^{64} +(-6.74585 - 4.28192i) q^{65} +9.12394i q^{66} +(10.1688 + 2.72472i) q^{67} +(-4.84909 + 2.79963i) q^{68} +(-2.64942 + 4.58893i) q^{69} +(-4.06086 - 11.2022i) q^{70} +(3.56722 + 13.3131i) q^{71} +(0.255528 - 0.0684684i) q^{72} +(11.8088 - 11.8088i) q^{73} +(0.114226 - 0.197846i) q^{74} +(-0.0445651 - 0.0771890i) q^{75} +(-12.8102 - 3.43249i) q^{76} +(-5.03382 + 10.7587i) q^{77} +(6.49397 - 3.39420i) q^{78} -13.3186 q^{79} +(-2.13518 + 7.96862i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(-7.97912 + 13.8202i) q^{82} +(-5.15552 - 5.15552i) q^{83} +(5.54901 + 0.985840i) q^{84} +(5.62651 - 1.50762i) q^{85} +(-9.08878 - 9.08878i) q^{86} +(-3.57480 - 2.06391i) q^{87} +(-1.02854 + 0.593831i) q^{88} +(-7.93017 - 2.12488i) q^{89} -4.50363 q^{90} +(9.53016 - 0.419530i) q^{91} -11.2874 q^{92} +(3.33494 + 0.893595i) q^{93} +(14.5044 - 8.37409i) q^{94} +(11.9484 + 6.89840i) q^{95} +(-5.72381 - 5.72381i) q^{96} +(1.93349 - 0.518076i) q^{97} +(11.6321 + 8.18979i) q^{98} +(3.17456 + 3.17456i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{2} + 6q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 16q^{9} + O(q^{10}) \) \( 32q - 2q^{2} + 6q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 16q^{9} + 2q^{10} - 4q^{11} + 32q^{12} + 6q^{13} + 34q^{14} + 4q^{15} + 14q^{16} - 8q^{17} + 2q^{18} + 2q^{19} + 44q^{20} - 4q^{21} - 4q^{22} - 18q^{23} + 4q^{24} - 28q^{26} - 32q^{28} - 18q^{29} - 14q^{31} - 8q^{32} + 4q^{33} - 66q^{34} + 22q^{35} + 6q^{36} - 24q^{37} + 24q^{38} + 8q^{39} - 26q^{42} - 6q^{43} - 20q^{44} + 4q^{45} - 58q^{46} - 28q^{47} - 60q^{48} + 8q^{49} + 70q^{50} + 28q^{52} - 80q^{53} - 4q^{54} + 60q^{55} - 54q^{56} + 16q^{57} - 4q^{58} - 42q^{59} - 58q^{60} + 36q^{61} + 52q^{62} + 4q^{63} + 14q^{65} + 26q^{67} - 72q^{68} + 2q^{69} - 116q^{70} - 4q^{71} + 4q^{72} + 12q^{73} - 18q^{74} + 16q^{75} - 48q^{76} + 28q^{77} - 14q^{78} - 4q^{79} - 98q^{80} - 16q^{81} + 20q^{82} - 36q^{83} - 18q^{84} - 10q^{85} - 40q^{86} + 96q^{88} - 54q^{89} + 4q^{90} + 148q^{91} - 4q^{92} + 2q^{93} + 60q^{95} + 22q^{96} - 40q^{97} + 36q^{98} + 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{12}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.96303 + 0.525993i 1.38807 + 0.371933i 0.874047 0.485841i \(-0.161486\pi\)
0.514027 + 0.857774i \(0.328153\pi\)
\(3\) 0.866025 0.500000i 0.500000 0.288675i
\(4\) 1.84478 + 1.06508i 0.922391 + 0.532542i
\(5\) −1.56698 1.56698i −0.700776 0.700776i 0.263801 0.964577i \(-0.415024\pi\)
−0.964577 + 0.263801i \(0.915024\pi\)
\(6\) 1.96303 0.525993i 0.801405 0.214736i
\(7\) 2.60496 + 0.462799i 0.984582 + 0.174921i
\(8\) 0.187059 + 0.187059i 0.0661354 + 0.0661354i
\(9\) 0.500000 0.866025i 0.166667 0.288675i
\(10\) −2.25182 3.90026i −0.712087 1.23337i
\(11\) −1.16197 + 4.33653i −0.350347 + 1.30751i 0.535893 + 0.844286i \(0.319975\pi\)
−0.886240 + 0.463227i \(0.846692\pi\)
\(12\) 2.13017 0.614927
\(13\) 3.51879 0.786201i 0.975937 0.218053i
\(14\) 4.87020 + 2.27868i 1.30161 + 0.609003i
\(15\) −2.14054 0.573555i −0.552685 0.148091i
\(16\) −1.86136 3.22397i −0.465340 0.805992i
\(17\) −1.31427 + 2.27639i −0.318758 + 0.552105i −0.980229 0.197865i \(-0.936599\pi\)
0.661471 + 0.749971i \(0.269932\pi\)
\(18\) 1.43704 1.43704i 0.338714 0.338714i
\(19\) −6.01372 + 1.61137i −1.37964 + 0.369674i −0.870991 0.491299i \(-0.836522\pi\)
−0.508650 + 0.860973i \(0.669855\pi\)
\(20\) −1.22177 4.55971i −0.273196 1.01958i
\(21\) 2.48736 0.901685i 0.542787 0.196764i
\(22\) −4.56197 + 7.90156i −0.972615 + 1.68462i
\(23\) −4.58893 + 2.64942i −0.956859 + 0.552443i −0.895205 0.445655i \(-0.852971\pi\)
−0.0616538 + 0.998098i \(0.519637\pi\)
\(24\) 0.255528 + 0.0684684i 0.0521594 + 0.0139761i
\(25\) 0.0891302i 0.0178260i
\(26\) 7.32104 + 0.307521i 1.43577 + 0.0603099i
\(27\) 1.00000i 0.192450i
\(28\) 4.31266 + 3.62827i 0.815016 + 0.685678i
\(29\) −2.06391 3.57480i −0.383258 0.663823i 0.608267 0.793732i \(-0.291865\pi\)
−0.991526 + 0.129909i \(0.958531\pi\)
\(30\) −3.90026 2.25182i −0.712087 0.411124i
\(31\) 2.44135 + 2.44135i 0.438479 + 0.438479i 0.891500 0.453021i \(-0.149654\pi\)
−0.453021 + 0.891500i \(0.649654\pi\)
\(32\) −2.09506 7.81887i −0.370358 1.38219i
\(33\) 1.16197 + 4.33653i 0.202273 + 0.754893i
\(34\) −3.77733 + 3.77733i −0.647807 + 0.647807i
\(35\) −3.35673 4.80713i −0.567391 0.812552i
\(36\) 1.84478 1.06508i 0.307464 0.177514i
\(37\) 0.0290943 0.108582i 0.00478308 0.0178507i −0.963493 0.267733i \(-0.913725\pi\)
0.968276 + 0.249883i \(0.0803920\pi\)
\(38\) −12.6527 −2.05254
\(39\) 2.65426 2.44027i 0.425022 0.390755i
\(40\) 0.586237i 0.0926922i
\(41\) −2.03234 + 7.58481i −0.317399 + 1.18455i 0.604336 + 0.796729i \(0.293438\pi\)
−0.921735 + 0.387819i \(0.873228\pi\)
\(42\) 5.35705 0.461702i 0.826611 0.0712422i
\(43\) −5.47731 3.16233i −0.835282 0.482250i 0.0203758 0.999792i \(-0.493514\pi\)
−0.855658 + 0.517542i \(0.826847\pi\)
\(44\) −6.76235 + 6.76235i −1.01946 + 1.01946i
\(45\) −2.14054 + 0.573555i −0.319093 + 0.0855006i
\(46\) −10.4018 + 2.78716i −1.53366 + 0.410944i
\(47\) 5.82732 5.82732i 0.850002 0.850002i −0.140131 0.990133i \(-0.544752\pi\)
0.990133 + 0.140131i \(0.0447524\pi\)
\(48\) −3.22397 1.86136i −0.465340 0.268664i
\(49\) 6.57163 + 2.41114i 0.938805 + 0.344449i
\(50\) 0.0468819 0.174966i 0.00663010 0.0247439i
\(51\) 2.62855i 0.368070i
\(52\) 7.32877 + 2.29744i 1.01632 + 0.318598i
\(53\) 9.24486 1.26988 0.634940 0.772562i \(-0.281025\pi\)
0.634940 + 0.772562i \(0.281025\pi\)
\(54\) 0.525993 1.96303i 0.0715786 0.267135i
\(55\) 8.61605 4.97448i 1.16179 0.670759i
\(56\) 0.400711 + 0.573853i 0.0535473 + 0.0766843i
\(57\) −4.40235 + 4.40235i −0.583105 + 0.583105i
\(58\) −2.17121 8.10305i −0.285093 1.06398i
\(59\) −1.27986 4.77649i −0.166623 0.621846i −0.997828 0.0658791i \(-0.979015\pi\)
0.831205 0.555967i \(-0.187652\pi\)
\(60\) −3.33794 3.33794i −0.430926 0.430926i
\(61\) 3.33568 + 1.92586i 0.427090 + 0.246581i 0.698106 0.715994i \(-0.254026\pi\)
−0.271016 + 0.962575i \(0.587360\pi\)
\(62\) 3.50831 + 6.07658i 0.445556 + 0.771726i
\(63\) 1.70328 2.02456i 0.214593 0.255071i
\(64\) 9.00526i 1.12566i
\(65\) −6.74585 4.28192i −0.836719 0.531107i
\(66\) 9.12394i 1.12308i
\(67\) 10.1688 + 2.72472i 1.24232 + 0.332878i 0.819364 0.573273i \(-0.194327\pi\)
0.422954 + 0.906151i \(0.360993\pi\)
\(68\) −4.84909 + 2.79963i −0.588039 + 0.339505i
\(69\) −2.64942 + 4.58893i −0.318953 + 0.552443i
\(70\) −4.06086 11.2022i −0.485365 1.33891i
\(71\) 3.56722 + 13.3131i 0.423352 + 1.57997i 0.767496 + 0.641053i \(0.221502\pi\)
−0.344145 + 0.938917i \(0.611831\pi\)
\(72\) 0.255528 0.0684684i 0.0301142 0.00806908i
\(73\) 11.8088 11.8088i 1.38211 1.38211i 0.541259 0.840856i \(-0.317948\pi\)
0.840856 0.541259i \(-0.182052\pi\)
\(74\) 0.114226 0.197846i 0.0132785 0.0229991i
\(75\) −0.0445651 0.0771890i −0.00514593 0.00891302i
\(76\) −12.8102 3.43249i −1.46944 0.393734i
\(77\) −5.03382 + 10.7587i −0.573657 + 1.22607i
\(78\) 6.49397 3.39420i 0.735297 0.384317i
\(79\) −13.3186 −1.49846 −0.749229 0.662311i \(-0.769576\pi\)
−0.749229 + 0.662311i \(0.769576\pi\)
\(80\) −2.13518 + 7.96862i −0.238721 + 0.890918i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) −7.97912 + 13.8202i −0.881146 + 1.52619i
\(83\) −5.15552 5.15552i −0.565892 0.565892i 0.365083 0.930975i \(-0.381041\pi\)
−0.930975 + 0.365083i \(0.881041\pi\)
\(84\) 5.54901 + 0.985840i 0.605446 + 0.107564i
\(85\) 5.62651 1.50762i 0.610280 0.163524i
\(86\) −9.08878 9.08878i −0.980068 0.980068i
\(87\) −3.57480 2.06391i −0.383258 0.221274i
\(88\) −1.02854 + 0.593831i −0.109643 + 0.0633025i
\(89\) −7.93017 2.12488i −0.840596 0.225237i −0.187265 0.982309i \(-0.559962\pi\)
−0.653331 + 0.757072i \(0.726629\pi\)
\(90\) −4.50363 −0.474725
\(91\) 9.53016 0.419530i 0.999032 0.0439787i
\(92\) −11.2874 −1.17680
\(93\) 3.33494 + 0.893595i 0.345817 + 0.0926615i
\(94\) 14.5044 8.37409i 1.49601 0.863722i
\(95\) 11.9484 + 6.89840i 1.22588 + 0.707761i
\(96\) −5.72381 5.72381i −0.584184 0.584184i
\(97\) 1.93349 0.518076i 0.196316 0.0526027i −0.159321 0.987227i \(-0.550931\pi\)
0.355637 + 0.934624i \(0.384264\pi\)
\(98\) 11.6321 + 8.18979i 1.17502 + 0.827294i
\(99\) 3.17456 + 3.17456i 0.319055 + 0.319055i
\(100\) 0.0949312 0.164426i 0.00949312 0.0164426i
\(101\) −4.49537 7.78621i −0.447306 0.774757i 0.550903 0.834569i \(-0.314283\pi\)
−0.998210 + 0.0598118i \(0.980950\pi\)
\(102\) −1.38260 + 5.15993i −0.136898 + 0.510909i
\(103\) −5.08145 −0.500690 −0.250345 0.968157i \(-0.580544\pi\)
−0.250345 + 0.968157i \(0.580544\pi\)
\(104\) 0.805288 + 0.511156i 0.0789650 + 0.0501230i
\(105\) −5.31058 2.48473i −0.518259 0.242485i
\(106\) 18.1480 + 4.86273i 1.76269 + 0.472310i
\(107\) 0.521017 + 0.902428i 0.0503686 + 0.0872410i 0.890110 0.455745i \(-0.150627\pi\)
−0.839742 + 0.542986i \(0.817294\pi\)
\(108\) 1.06508 1.84478i 0.102488 0.177514i
\(109\) 2.86707 2.86707i 0.274616 0.274616i −0.556339 0.830955i \(-0.687795\pi\)
0.830955 + 0.556339i \(0.187795\pi\)
\(110\) 19.5301 5.23309i 1.86213 0.498955i
\(111\) −0.0290943 0.108582i −0.00276151 0.0103061i
\(112\) −3.35672 9.25974i −0.317180 0.874963i
\(113\) 4.39010 7.60388i 0.412986 0.715313i −0.582229 0.813025i \(-0.697819\pi\)
0.995215 + 0.0977122i \(0.0311525\pi\)
\(114\) −10.9576 + 6.32635i −1.02627 + 0.592517i
\(115\) 11.3424 + 3.03918i 1.05768 + 0.283405i
\(116\) 8.79296i 0.816406i
\(117\) 1.07853 3.44046i 0.0997097 0.318071i
\(118\) 10.0496i 0.925141i
\(119\) −4.47714 + 5.32166i −0.410419 + 0.487836i
\(120\) −0.293119 0.507696i −0.0267579 0.0463461i
\(121\) −7.92903 4.57783i −0.720821 0.416166i
\(122\) 5.53507 + 5.53507i 0.501121 + 0.501121i
\(123\) 2.03234 + 7.58481i 0.183250 + 0.683900i
\(124\) 1.90351 + 7.10399i 0.170940 + 0.637957i
\(125\) −7.97458 + 7.97458i −0.713268 + 0.713268i
\(126\) 4.40849 3.07837i 0.392740 0.274243i
\(127\) −6.20223 + 3.58086i −0.550359 + 0.317750i −0.749267 0.662268i \(-0.769594\pi\)
0.198908 + 0.980018i \(0.436261\pi\)
\(128\) 0.546587 2.03989i 0.0483119 0.180303i
\(129\) −6.32465 −0.556855
\(130\) −10.9901 11.9538i −0.963892 1.04842i
\(131\) 8.06442i 0.704591i −0.935889 0.352296i \(-0.885401\pi\)
0.935889 0.352296i \(-0.114599\pi\)
\(132\) −2.47519 + 9.23754i −0.215438 + 0.804025i
\(133\) −16.4112 + 1.41442i −1.42303 + 0.122645i
\(134\) 18.5285 + 10.6975i 1.60062 + 0.924119i
\(135\) −1.56698 + 1.56698i −0.134864 + 0.134864i
\(136\) −0.671666 + 0.179972i −0.0575949 + 0.0154325i
\(137\) −4.00328 + 1.07268i −0.342023 + 0.0916449i −0.425742 0.904845i \(-0.639987\pi\)
0.0837188 + 0.996489i \(0.473320\pi\)
\(138\) −7.61465 + 7.61465i −0.648202 + 0.648202i
\(139\) 14.1275 + 8.15651i 1.19828 + 0.691826i 0.960171 0.279413i \(-0.0901397\pi\)
0.238107 + 0.971239i \(0.423473\pi\)
\(140\) −1.07244 12.4433i −0.0906373 1.05165i
\(141\) 2.13295 7.96026i 0.179627 0.670375i
\(142\) 28.0103i 2.35057i
\(143\) −0.679344 + 16.1729i −0.0568096 + 1.35244i
\(144\) −3.72272 −0.310226
\(145\) −2.36753 + 8.83576i −0.196613 + 0.733770i
\(146\) 29.3924 16.9697i 2.43253 1.40442i
\(147\) 6.89677 1.19770i 0.568836 0.0987850i
\(148\) 0.169321 0.169321i 0.0139181 0.0139181i
\(149\) −1.57172 5.86575i −0.128761 0.480541i 0.871185 0.490955i \(-0.163352\pi\)
−0.999946 + 0.0104133i \(0.996685\pi\)
\(150\) −0.0468819 0.174966i −0.00382789 0.0142859i
\(151\) 13.6338 + 13.6338i 1.10950 + 1.10950i 0.993216 + 0.116285i \(0.0370987\pi\)
0.116285 + 0.993216i \(0.462901\pi\)
\(152\) −1.42634 0.823499i −0.115692 0.0667946i
\(153\) 1.31427 + 2.27639i 0.106253 + 0.184035i
\(154\) −15.5406 + 18.4720i −1.25230 + 1.48851i
\(155\) 7.65110i 0.614551i
\(156\) 7.49562 1.67474i 0.600130 0.134087i
\(157\) 8.31072i 0.663268i −0.943408 0.331634i \(-0.892400\pi\)
0.943408 0.331634i \(-0.107600\pi\)
\(158\) −26.1448 7.00549i −2.07997 0.557327i
\(159\) 8.00628 4.62243i 0.634940 0.366583i
\(160\) −8.96911 + 15.5350i −0.709071 + 1.22815i
\(161\) −13.1801 + 4.77789i −1.03874 + 0.376550i
\(162\) −0.525993 1.96303i −0.0413259 0.154230i
\(163\) 0.385067 0.103178i 0.0301607 0.00808155i −0.243707 0.969849i \(-0.578364\pi\)
0.273868 + 0.961767i \(0.411697\pi\)
\(164\) −11.8277 + 11.8277i −0.923588 + 0.923588i
\(165\) 4.97448 8.61605i 0.387263 0.670759i
\(166\) −7.40869 12.8322i −0.575026 0.995974i
\(167\) 19.9784 + 5.35319i 1.54597 + 0.414243i 0.928191 0.372105i \(-0.121364\pi\)
0.617784 + 0.786348i \(0.288031\pi\)
\(168\) 0.633952 + 0.296615i 0.0489105 + 0.0228844i
\(169\) 11.7638 5.53295i 0.904906 0.425612i
\(170\) 11.8380 0.907934
\(171\) −1.61137 + 6.01372i −0.123225 + 0.459880i
\(172\) −6.73629 11.6676i −0.513637 0.889646i
\(173\) 9.58243 16.5973i 0.728539 1.26187i −0.228962 0.973435i \(-0.573533\pi\)
0.957501 0.288431i \(-0.0931334\pi\)
\(174\) −5.93184 5.93184i −0.449692 0.449692i
\(175\) 0.0412493 0.232181i 0.00311816 0.0175512i
\(176\) 16.1437 4.32568i 1.21687 0.326061i
\(177\) −3.49663 3.49663i −0.262823 0.262823i
\(178\) −14.4495 8.34243i −1.08304 0.625292i
\(179\) −5.86324 + 3.38514i −0.438239 + 0.253018i −0.702850 0.711338i \(-0.748090\pi\)
0.264611 + 0.964355i \(0.414756\pi\)
\(180\) −4.55971 1.22177i −0.339861 0.0910654i
\(181\) −16.5594 −1.23085 −0.615424 0.788197i \(-0.711015\pi\)
−0.615424 + 0.788197i \(0.711015\pi\)
\(182\) 18.9287 + 4.18925i 1.40309 + 0.310528i
\(183\) 3.85171 0.284727
\(184\) −1.35400 0.362803i −0.0998183 0.0267462i
\(185\) −0.215736 + 0.124555i −0.0158612 + 0.00915747i
\(186\) 6.07658 + 3.50831i 0.445556 + 0.257242i
\(187\) −8.34448 8.34448i −0.610209 0.610209i
\(188\) 16.9567 4.54354i 1.23670 0.331372i
\(189\) 0.462799 2.60496i 0.0336637 0.189483i
\(190\) 19.8266 + 19.8266i 1.43837 + 1.43837i
\(191\) 4.44834 7.70475i 0.321870 0.557496i −0.659003 0.752140i \(-0.729022\pi\)
0.980874 + 0.194644i \(0.0623551\pi\)
\(192\) −4.50263 7.79879i −0.324949 0.562829i
\(193\) −1.15868 + 4.32426i −0.0834038 + 0.311267i −0.995007 0.0998038i \(-0.968178\pi\)
0.911603 + 0.411071i \(0.134845\pi\)
\(194\) 4.06800 0.292066
\(195\) −7.98304 0.335329i −0.571677 0.0240134i
\(196\) 9.55515 + 11.4474i 0.682511 + 0.817670i
\(197\) 1.57369 + 0.421669i 0.112121 + 0.0300427i 0.314443 0.949276i \(-0.398182\pi\)
−0.202322 + 0.979319i \(0.564849\pi\)
\(198\) 4.56197 + 7.90156i 0.324205 + 0.561540i
\(199\) −6.21777 + 10.7695i −0.440766 + 0.763429i −0.997746 0.0670965i \(-0.978626\pi\)
0.556981 + 0.830526i \(0.311960\pi\)
\(200\) 0.0166726 0.0166726i 0.00117893 0.00117893i
\(201\) 10.1688 2.72472i 0.717253 0.192187i
\(202\) −4.72907 17.6491i −0.332736 1.24179i
\(203\) −3.72199 10.2674i −0.261233 0.720629i
\(204\) −2.79963 + 4.84909i −0.196013 + 0.339505i
\(205\) 15.0699 8.70062i 1.05253 0.607678i
\(206\) −9.97506 2.67281i −0.694995 0.186223i
\(207\) 5.29884i 0.368295i
\(208\) −9.08442 9.88106i −0.629891 0.685128i
\(209\) 27.9510i 1.93341i
\(210\) −9.11789 7.67093i −0.629194 0.529345i
\(211\) 0.111585 + 0.193271i 0.00768182 + 0.0133053i 0.869841 0.493333i \(-0.164221\pi\)
−0.862159 + 0.506638i \(0.830888\pi\)
\(212\) 17.0547 + 9.84656i 1.17132 + 0.676264i
\(213\) 9.74584 + 9.74584i 0.667774 + 0.667774i
\(214\) 0.548103 + 2.04555i 0.0374676 + 0.139831i
\(215\) 3.62754 + 13.5382i 0.247396 + 0.923295i
\(216\) 0.187059 0.187059i 0.0127278 0.0127278i
\(217\) 5.22976 + 7.48946i 0.355019 + 0.508418i
\(218\) 7.13622 4.12010i 0.483326 0.279048i
\(219\) 4.32232 16.1311i 0.292075 1.09004i
\(220\) 21.1930 1.42883
\(221\) −2.83496 + 9.04342i −0.190700 + 0.608326i
\(222\) 0.228453i 0.0153327i
\(223\) −1.45774 + 5.44036i −0.0976174 + 0.364313i −0.997403 0.0720186i \(-0.977056\pi\)
0.899786 + 0.436332i \(0.143723\pi\)
\(224\) −1.83898 21.3374i −0.122872 1.42567i
\(225\) −0.0771890 0.0445651i −0.00514593 0.00297101i
\(226\) 12.6175 12.6175i 0.839304 0.839304i
\(227\) 4.17248 1.11801i 0.276937 0.0742050i −0.117677 0.993052i \(-0.537545\pi\)
0.394614 + 0.918847i \(0.370878\pi\)
\(228\) −12.8102 + 3.43249i −0.848379 + 0.227322i
\(229\) −16.9969 + 16.9969i −1.12319 + 1.12319i −0.131929 + 0.991259i \(0.542117\pi\)
−0.991259 + 0.131929i \(0.957883\pi\)
\(230\) 20.6669 + 11.9320i 1.36273 + 0.786775i
\(231\) 1.01994 + 11.8342i 0.0671074 + 0.778636i
\(232\) 0.282625 1.05477i 0.0185553 0.0692492i
\(233\) 13.6445i 0.893880i −0.894564 0.446940i \(-0.852514\pi\)
0.894564 0.446940i \(-0.147486\pi\)
\(234\) 3.92684 6.18645i 0.256706 0.404421i
\(235\) −18.2626 −1.19132
\(236\) 2.72631 10.1747i 0.177468 0.662319i
\(237\) −11.5342 + 6.65929i −0.749229 + 0.432568i
\(238\) −11.5879 + 8.09165i −0.751134 + 0.524504i
\(239\) −4.70084 + 4.70084i −0.304072 + 0.304072i −0.842605 0.538533i \(-0.818979\pi\)
0.538533 + 0.842605i \(0.318979\pi\)
\(240\) 2.13518 + 7.96862i 0.137826 + 0.514372i
\(241\) 4.03655 + 15.0646i 0.260017 + 0.970397i 0.965230 + 0.261401i \(0.0841847\pi\)
−0.705213 + 0.708995i \(0.749149\pi\)
\(242\) −13.1570 13.1570i −0.845767 0.845767i
\(243\) −0.866025 0.500000i −0.0555556 0.0320750i
\(244\) 4.10240 + 7.10557i 0.262629 + 0.454887i
\(245\) −6.51942 14.0759i −0.416510 0.899274i
\(246\) 15.9582i 1.01746i
\(247\) −19.8941 + 10.3981i −1.26583 + 0.661613i
\(248\) 0.913353i 0.0579980i
\(249\) −7.04257 1.88705i −0.446305 0.119587i
\(250\) −19.8489 + 11.4598i −1.25536 + 0.724781i
\(251\) −2.67179 + 4.62768i −0.168642 + 0.292096i −0.937943 0.346791i \(-0.887271\pi\)
0.769301 + 0.638887i \(0.220605\pi\)
\(252\) 5.29850 1.92074i 0.333774 0.120995i
\(253\) −6.15709 22.9786i −0.387093 1.44465i
\(254\) −14.0587 + 3.76701i −0.882120 + 0.236363i
\(255\) 4.11889 4.11889i 0.257935 0.257935i
\(256\) −6.85933 + 11.8807i −0.428708 + 0.742544i
\(257\) 7.85983 + 13.6136i 0.490283 + 0.849195i 0.999937 0.0111844i \(-0.00356018\pi\)
−0.509655 + 0.860379i \(0.670227\pi\)
\(258\) −12.4155 3.32672i −0.772956 0.207113i
\(259\) 0.126041 0.269386i 0.00783180 0.0167388i
\(260\) −7.88400 15.0841i −0.488945 0.935477i
\(261\) −4.12782 −0.255506
\(262\) 4.24183 15.8307i 0.262061 0.978025i
\(263\) 3.44067 + 5.95942i 0.212161 + 0.367473i 0.952391 0.304881i \(-0.0986166\pi\)
−0.740230 + 0.672354i \(0.765283\pi\)
\(264\) −0.593831 + 1.02854i −0.0365477 + 0.0633025i
\(265\) −14.4865 14.4865i −0.889901 0.889901i
\(266\) −32.9598 5.85565i −2.02089 0.359033i
\(267\) −7.93017 + 2.12488i −0.485318 + 0.130041i
\(268\) 15.8572 + 15.8572i 0.968631 + 0.968631i
\(269\) −18.7176 10.8066i −1.14123 0.658890i −0.194496 0.980903i \(-0.562307\pi\)
−0.946735 + 0.322013i \(0.895640\pi\)
\(270\) −3.90026 + 2.25182i −0.237362 + 0.137041i
\(271\) −5.82362 1.56043i −0.353760 0.0947896i 0.0775628 0.996987i \(-0.475286\pi\)
−0.431322 + 0.902198i \(0.641953\pi\)
\(272\) 9.78534 0.593323
\(273\) 8.04360 5.12840i 0.486821 0.310385i
\(274\) −8.42279 −0.508840
\(275\) 0.386516 + 0.103567i 0.0233078 + 0.00624530i
\(276\) −9.77521 + 5.64372i −0.588398 + 0.339712i
\(277\) −17.1918 9.92569i −1.03295 0.596377i −0.115125 0.993351i \(-0.536727\pi\)
−0.917830 + 0.396974i \(0.870060\pi\)
\(278\) 23.4425 + 23.4425i 1.40599 + 1.40599i
\(279\) 3.33494 0.893595i 0.199658 0.0534981i
\(280\) 0.271310 1.52712i 0.0162139 0.0912631i
\(281\) −15.4156 15.4156i −0.919617 0.919617i 0.0773842 0.997001i \(-0.475343\pi\)
−0.997001 + 0.0773842i \(0.975343\pi\)
\(282\) 8.37409 14.5044i 0.498670 0.863722i
\(283\) −14.1867 24.5721i −0.843314 1.46066i −0.887077 0.461621i \(-0.847268\pi\)
0.0437635 0.999042i \(-0.486065\pi\)
\(284\) −7.59879 + 28.3591i −0.450905 + 1.68280i
\(285\) 13.7968 0.817252
\(286\) −9.84040 + 31.3906i −0.581875 + 1.85616i
\(287\) −8.80442 + 18.8176i −0.519708 + 1.11077i
\(288\) −7.81887 2.09506i −0.460731 0.123453i
\(289\) 5.04537 + 8.73884i 0.296786 + 0.514049i
\(290\) −9.29510 + 16.0996i −0.545827 + 0.945400i
\(291\) 1.41541 1.41541i 0.0829728 0.0829728i
\(292\) 34.3620 9.20727i 2.01088 0.538815i
\(293\) 2.70937 + 10.1115i 0.158283 + 0.590720i 0.998802 + 0.0489378i \(0.0155836\pi\)
−0.840519 + 0.541782i \(0.817750\pi\)
\(294\) 14.1686 + 1.27652i 0.826329 + 0.0744483i
\(295\) −5.47916 + 9.49019i −0.319009 + 0.552540i
\(296\) 0.0257535 0.0148688i 0.00149689 0.000864232i
\(297\) 4.33653 + 1.16197i 0.251631 + 0.0674243i
\(298\) 12.3414i 0.714917i
\(299\) −14.0645 + 12.9306i −0.813372 + 0.747795i
\(300\) 0.189862i 0.0109617i
\(301\) −12.8047 10.7726i −0.738048 0.620924i
\(302\) 19.5923 + 33.9348i 1.12741 + 1.95273i
\(303\) −7.78621 4.49537i −0.447306 0.258252i
\(304\) 16.3887 + 16.3887i 0.939956 + 0.939956i
\(305\) −2.20917 8.24474i −0.126497 0.472092i
\(306\) 1.38260 + 5.15993i 0.0790379 + 0.294973i
\(307\) −6.15683 + 6.15683i −0.351389 + 0.351389i −0.860626 0.509237i \(-0.829928\pi\)
0.509237 + 0.860626i \(0.329928\pi\)
\(308\) −20.7453 + 14.4860i −1.18207 + 0.825419i
\(309\) −4.40067 + 2.54073i −0.250345 + 0.144537i
\(310\) 4.02442 15.0194i 0.228572 0.853042i
\(311\) −5.30855 −0.301020 −0.150510 0.988608i \(-0.548092\pi\)
−0.150510 + 0.988608i \(0.548092\pi\)
\(312\) 0.952978 + 0.0400300i 0.0539518 + 0.00226625i
\(313\) 18.4802i 1.04456i −0.852774 0.522280i \(-0.825082\pi\)
0.852774 0.522280i \(-0.174918\pi\)
\(314\) 4.37139 16.3142i 0.246692 0.920665i
\(315\) −5.84146 + 0.503451i −0.329129 + 0.0283662i
\(316\) −24.5699 14.1854i −1.38216 0.797993i
\(317\) −14.8596 + 14.8596i −0.834598 + 0.834598i −0.988142 0.153544i \(-0.950931\pi\)
0.153544 + 0.988142i \(0.450931\pi\)
\(318\) 18.1480 4.86273i 1.01769 0.272689i
\(319\) 17.9004 4.79640i 1.00223 0.268547i
\(320\) −14.1111 + 14.1111i −0.788834 + 0.788834i
\(321\) 0.902428 + 0.521017i 0.0503686 + 0.0290803i
\(322\) −28.3862 + 2.44649i −1.58190 + 0.136337i
\(323\) 4.23556 15.8073i 0.235673 0.879544i
\(324\) 2.13017i 0.118343i
\(325\) −0.0700742 0.313631i −0.00388702 0.0173971i
\(326\) 0.810170 0.0448711
\(327\) 1.04942 3.91650i 0.0580332 0.216583i
\(328\) −1.79898 + 1.03864i −0.0993319 + 0.0573493i
\(329\) 17.8768 12.4831i 0.985580 0.688213i
\(330\) 14.2971 14.2971i 0.787027 0.787027i
\(331\) −7.91671 29.5456i −0.435142 1.62397i −0.740727 0.671806i \(-0.765519\pi\)
0.305586 0.952165i \(-0.401148\pi\)
\(332\) −4.01974 15.0019i −0.220612 0.823335i
\(333\) −0.0794872 0.0794872i −0.00435587 0.00435587i
\(334\) 36.4025 + 21.0170i 1.99186 + 1.15000i
\(335\) −11.6648 20.2039i −0.637314 1.10386i
\(336\) −7.53687 6.34081i −0.411170 0.345920i
\(337\) 2.64409i 0.144033i −0.997403 0.0720163i \(-0.977057\pi\)
0.997403 0.0720163i \(-0.0229434\pi\)
\(338\) 26.0030 4.67370i 1.41438 0.254216i
\(339\) 8.78021i 0.476875i
\(340\) 11.9854 + 3.21148i 0.650000 + 0.174167i
\(341\) −13.4237 + 7.75020i −0.726936 + 0.419697i
\(342\) −6.32635 + 10.9576i −0.342090 + 0.592517i
\(343\) 16.0030 + 9.32228i 0.864079 + 0.503356i
\(344\) −0.433039 1.61612i −0.0233479 0.0871355i
\(345\) 11.3424 3.03918i 0.610653 0.163624i
\(346\) 27.5407 27.5407i 1.48060 1.48060i
\(347\) 1.58944 2.75299i 0.0853255 0.147788i −0.820204 0.572071i \(-0.806140\pi\)
0.905530 + 0.424283i \(0.139474\pi\)
\(348\) −4.39648 7.61492i −0.235676 0.408203i
\(349\) 20.2719 + 5.43184i 1.08513 + 0.290760i 0.756696 0.653767i \(-0.226812\pi\)
0.328434 + 0.944527i \(0.393479\pi\)
\(350\) 0.203099 0.434081i 0.0108561 0.0232026i
\(351\) −0.786201 3.51879i −0.0419643 0.187819i
\(352\) 36.3412 1.93699
\(353\) −5.34444 + 19.9457i −0.284456 + 1.06160i 0.664780 + 0.747039i \(0.268525\pi\)
−0.949236 + 0.314565i \(0.898141\pi\)
\(354\) −5.02480 8.70321i −0.267065 0.462570i
\(355\) 15.2716 26.4511i 0.810530 1.40388i
\(356\) −12.3662 12.3662i −0.655410 0.655410i
\(357\) −1.21649 + 6.84726i −0.0643834 + 0.362395i
\(358\) −13.2903 + 3.56113i −0.702414 + 0.188211i
\(359\) 18.9082 + 18.9082i 0.997935 + 0.997935i 0.999998 0.00206292i \(-0.000656647\pi\)
−0.00206292 + 0.999998i \(0.500657\pi\)
\(360\) −0.507696 0.293119i −0.0267579 0.0154487i
\(361\) 17.1138 9.88065i 0.900726 0.520034i
\(362\) −32.5066 8.71011i −1.70851 0.457793i
\(363\) −9.15565 −0.480547
\(364\) 18.0279 + 9.37649i 0.944919 + 0.491462i
\(365\) −37.0084 −1.93711
\(366\) 7.56104 + 2.02598i 0.395222 + 0.105899i
\(367\) −20.8759 + 12.0527i −1.08971 + 0.629146i −0.933500 0.358578i \(-0.883262\pi\)
−0.156212 + 0.987724i \(0.549928\pi\)
\(368\) 17.0833 + 9.86304i 0.890528 + 0.514147i
\(369\) 5.55247 + 5.55247i 0.289050 + 0.289050i
\(370\) −0.489012 + 0.131030i −0.0254225 + 0.00681194i
\(371\) 24.0825 + 4.27851i 1.25030 + 0.222129i
\(372\) 5.20048 + 5.20048i 0.269632 + 0.269632i
\(373\) −15.4025 + 26.6780i −0.797514 + 1.38133i 0.123717 + 0.992318i \(0.460518\pi\)
−0.921231 + 0.389017i \(0.872815\pi\)
\(374\) −11.9914 20.7696i −0.620058 1.07397i
\(375\) −2.91890 + 10.8935i −0.150731 + 0.562537i
\(376\) 2.18011 0.112430
\(377\) −10.0730 10.9563i −0.518785 0.564279i
\(378\) 2.27868 4.87020i 0.117203 0.250496i
\(379\) 16.9707 + 4.54729i 0.871728 + 0.233579i 0.666835 0.745206i \(-0.267649\pi\)
0.204893 + 0.978784i \(0.434315\pi\)
\(380\) 14.6948 + 25.4521i 0.753826 + 1.30566i
\(381\) −3.58086 + 6.20223i −0.183453 + 0.317750i
\(382\) 12.7849 12.7849i 0.654132 0.654132i
\(383\) −7.61566 + 2.04061i −0.389142 + 0.104270i −0.448085 0.893991i \(-0.647894\pi\)
0.0589428 + 0.998261i \(0.481227\pi\)
\(384\) −0.546587 2.03989i −0.0278929 0.104098i
\(385\) 24.7467 8.97082i 1.26121 0.457195i
\(386\) −4.54907 + 7.87921i −0.231541 + 0.401041i
\(387\) −5.47731 + 3.16233i −0.278427 + 0.160750i
\(388\) 4.11866 + 1.10359i 0.209093 + 0.0560263i
\(389\) 4.32264i 0.219166i 0.993978 + 0.109583i \(0.0349516\pi\)
−0.993978 + 0.109583i \(0.965048\pi\)
\(390\) −15.4946 4.85728i −0.784599 0.245958i
\(391\) 13.9283i 0.704382i
\(392\) 0.778258 + 1.68031i 0.0393080 + 0.0848686i
\(393\) −4.03221 6.98399i −0.203398 0.352296i
\(394\) 2.86741 + 1.65550i 0.144458 + 0.0834029i
\(395\) 20.8700 + 20.8700i 1.05008 + 1.05008i
\(396\) 2.47519 + 9.23754i 0.124383 + 0.464204i
\(397\) 8.67254 + 32.3664i 0.435262 + 1.62442i 0.740437 + 0.672125i \(0.234618\pi\)
−0.305175 + 0.952296i \(0.598715\pi\)
\(398\) −17.8704 + 17.8704i −0.895761 + 0.895761i
\(399\) −13.5053 + 9.43054i −0.676113 + 0.472117i
\(400\) −0.287353 + 0.165903i −0.0143676 + 0.00829516i
\(401\) 0.964760 3.60053i 0.0481778 0.179802i −0.937644 0.347597i \(-0.886998\pi\)
0.985822 + 0.167795i \(0.0536645\pi\)
\(402\) 21.3949 1.06708
\(403\) 10.5100 + 6.67120i 0.523539 + 0.332316i
\(404\) 19.1518i 0.952838i
\(405\) −0.573555 + 2.14054i −0.0285002 + 0.106364i
\(406\) −1.90582 22.1130i −0.0945844 1.09745i
\(407\) 0.437060 + 0.252337i 0.0216643 + 0.0125079i
\(408\) −0.491694 + 0.491694i −0.0243425 + 0.0243425i
\(409\) −16.1066 + 4.31575i −0.796421 + 0.213400i −0.634012 0.773323i \(-0.718593\pi\)
−0.162409 + 0.986724i \(0.551926\pi\)
\(410\) 34.1592 9.15294i 1.68700 0.452031i
\(411\) −2.93060 + 2.93060i −0.144556 + 0.144556i
\(412\) −9.37417 5.41218i −0.461832 0.266639i
\(413\) −1.12342 13.0349i −0.0552800 0.641404i
\(414\) −2.78716 + 10.4018i −0.136981 + 0.511221i
\(415\) 16.1572i 0.793127i
\(416\) −13.5193 25.8658i −0.662837 1.26818i
\(417\) 16.3130 0.798852
\(418\) 14.7020 54.8688i 0.719101 2.68372i
\(419\) 14.2653 8.23605i 0.696904 0.402357i −0.109290 0.994010i \(-0.534858\pi\)
0.806193 + 0.591652i \(0.201524\pi\)
\(420\) −7.15040 10.2400i −0.348904 0.499660i
\(421\) 2.29534 2.29534i 0.111868 0.111868i −0.648957 0.760825i \(-0.724795\pi\)
0.760825 + 0.648957i \(0.224795\pi\)
\(422\) 0.117386 + 0.438090i 0.00571425 + 0.0213259i
\(423\) −2.13295 7.96026i −0.103707 0.387041i
\(424\) 1.72934 + 1.72934i 0.0839840 + 0.0839840i
\(425\) 0.202895 + 0.117141i 0.00984185 + 0.00568220i
\(426\) 14.0052 + 24.2577i 0.678552 + 1.17529i
\(427\) 7.79803 + 6.56053i 0.377373 + 0.317486i
\(428\) 2.21971i 0.107294i
\(429\) 7.49811 + 14.3458i 0.362012 + 0.692622i
\(430\) 28.4839i 1.37362i
\(431\) 30.8568 + 8.26807i 1.48632 + 0.398259i 0.908493 0.417900i \(-0.137234\pi\)
0.577828 + 0.816158i \(0.303900\pi\)
\(432\) −3.22397 + 1.86136i −0.155113 + 0.0895546i
\(433\) −2.29443 + 3.97407i −0.110263 + 0.190982i −0.915876 0.401460i \(-0.868503\pi\)
0.805613 + 0.592442i \(0.201836\pi\)
\(434\) 6.32678 + 17.4529i 0.303695 + 0.837765i
\(435\) 2.36753 + 8.83576i 0.113515 + 0.423642i
\(436\) 8.34280 2.23545i 0.399548 0.107058i
\(437\) 23.3273 23.3273i 1.11590 1.11590i
\(438\) 16.9697 29.3924i 0.810844 1.40442i
\(439\) −8.62001 14.9303i −0.411411 0.712584i 0.583634 0.812017i \(-0.301630\pi\)
−0.995044 + 0.0994331i \(0.968297\pi\)
\(440\) 2.54223 + 0.681190i 0.121196 + 0.0324744i
\(441\) 5.37393 4.48563i 0.255901 0.213601i
\(442\) −10.3219 + 16.2614i −0.490962 + 0.773474i
\(443\) 10.7110 0.508893 0.254447 0.967087i \(-0.418107\pi\)
0.254447 + 0.967087i \(0.418107\pi\)
\(444\) 0.0619759 0.231297i 0.00294124 0.0109769i
\(445\) 9.09678 + 15.7561i 0.431229 + 0.746910i
\(446\) −5.72318 + 9.91284i −0.271000 + 0.469387i
\(447\) −4.29403 4.29403i −0.203101 0.203101i
\(448\) 4.16763 23.4584i 0.196902 1.10830i
\(449\) −4.72490 + 1.26603i −0.222982 + 0.0597478i −0.368580 0.929596i \(-0.620156\pi\)
0.145598 + 0.989344i \(0.453489\pi\)
\(450\) −0.128084 0.128084i −0.00603792 0.00603792i
\(451\) −30.5302 17.6266i −1.43761 0.830006i
\(452\) 16.1976 9.35166i 0.761869 0.439865i
\(453\) 18.6241 + 4.99031i 0.875036 + 0.234465i
\(454\) 8.77878 0.412008
\(455\) −15.5910 14.2762i −0.730917 0.669279i
\(456\) −1.64700 −0.0771278
\(457\) 5.77841 + 1.54832i 0.270303 + 0.0724274i 0.391424 0.920210i \(-0.371982\pi\)
−0.121122 + 0.992638i \(0.538649\pi\)
\(458\) −42.3058 + 24.4253i −1.97682 + 1.14132i
\(459\) 2.27639 + 1.31427i 0.106253 + 0.0613450i
\(460\) 17.6872 + 17.6872i 0.824671 + 0.824671i
\(461\) 18.4425 4.94165i 0.858953 0.230156i 0.197648 0.980273i \(-0.436670\pi\)
0.661305 + 0.750117i \(0.270003\pi\)
\(462\) −4.22255 + 23.7675i −0.196451 + 1.10576i
\(463\) −19.3096 19.3096i −0.897393 0.897393i 0.0978122 0.995205i \(-0.468816\pi\)
−0.995205 + 0.0978122i \(0.968816\pi\)
\(464\) −7.68335 + 13.3080i −0.356691 + 0.617806i
\(465\) −3.82555 6.62604i −0.177406 0.307275i
\(466\) 7.17691 26.7846i 0.332464 1.24077i
\(467\) −1.06678 −0.0493647 −0.0246824 0.999695i \(-0.507857\pi\)
−0.0246824 + 0.999695i \(0.507857\pi\)
\(468\) 5.65403 5.19818i 0.261358 0.240286i
\(469\) 25.2283 + 11.8039i 1.16494 + 0.545054i
\(470\) −35.8501 9.60601i −1.65364 0.443092i
\(471\) −4.15536 7.19730i −0.191469 0.331634i
\(472\) 0.654077 1.13290i 0.0301063 0.0521457i
\(473\) 20.0780 20.0780i 0.923187 0.923187i
\(474\) −26.1448 + 7.00549i −1.20087 + 0.321773i
\(475\) 0.143622 + 0.536004i 0.00658982 + 0.0245935i
\(476\) −13.9274 + 5.04876i −0.638360 + 0.231410i
\(477\) 4.62243 8.00628i 0.211647 0.366583i
\(478\) −11.7005 + 6.75529i −0.535169 + 0.308980i
\(479\) 37.0845 + 9.93677i 1.69444 + 0.454023i 0.971529 0.236922i \(-0.0761387\pi\)
0.722907 + 0.690945i \(0.242805\pi\)
\(480\) 17.9382i 0.818764i
\(481\) 0.0170100 0.404950i 0.000775588 0.0184641i
\(482\) 31.6955i 1.44369i
\(483\) −9.02539 + 10.7278i −0.410669 + 0.488134i
\(484\) −9.75155 16.8902i −0.443252 0.767735i
\(485\) −3.84156 2.21792i −0.174436 0.100711i
\(486\) −1.43704 1.43704i −0.0651855 0.0651855i
\(487\) 6.88259 + 25.6862i 0.311880 + 1.16395i 0.926860 + 0.375408i \(0.122498\pi\)
−0.614980 + 0.788543i \(0.710836\pi\)
\(488\) 0.263721 + 0.984219i 0.0119381 + 0.0445535i
\(489\) 0.281888 0.281888i 0.0127474 0.0127474i
\(490\) −5.39402 31.0606i −0.243677 1.40317i
\(491\) −14.4502 + 8.34283i −0.652129 + 0.376507i −0.789271 0.614044i \(-0.789542\pi\)
0.137142 + 0.990551i \(0.456208\pi\)
\(492\) −4.32924 + 16.1569i −0.195177 + 0.728411i
\(493\) 10.8502 0.488667
\(494\) −44.5222 + 9.94756i −2.00315 + 0.447562i
\(495\) 9.94896i 0.447172i
\(496\) 3.32660 12.4150i 0.149369 0.557452i
\(497\) 3.13121 + 36.3309i 0.140454 + 1.62966i
\(498\) −12.8322 7.40869i −0.575026 0.331991i
\(499\) 24.5083 24.5083i 1.09714 1.09714i 0.102400 0.994743i \(-0.467348\pi\)
0.994743 0.102400i \(-0.0326523\pi\)
\(500\) −23.2050 + 6.21775i −1.03776 + 0.278066i
\(501\) 19.9784 5.35319i 0.892569 0.239163i
\(502\) −7.67894 + 7.67894i −0.342728 + 0.342728i
\(503\) 35.6704 + 20.5943i 1.59046 + 0.918254i 0.993227 + 0.116188i \(0.0370675\pi\)
0.597235 + 0.802066i \(0.296266\pi\)
\(504\) 0.697326 0.0600996i 0.0310614 0.00267705i
\(505\) −5.15669 + 19.2450i −0.229470 + 0.856393i
\(506\) 48.3463i 2.14926i
\(507\) 7.42125 10.6736i 0.329589 0.474030i
\(508\) −15.2557 −0.676861
\(509\) 8.60918 32.1299i 0.381595 1.42413i −0.461869 0.886948i \(-0.652821\pi\)
0.843464 0.537185i \(-0.180512\pi\)
\(510\) 10.2520 5.91901i 0.453967 0.262098i
\(511\) 36.2265 25.2963i 1.60257 1.11904i
\(512\) −22.7009 + 22.7009i −1.00325 + 1.00325i
\(513\) 1.61137 + 6.01372i 0.0711437 + 0.265512i
\(514\) 8.26844 + 30.8582i 0.364705 + 1.36110i
\(515\) 7.96255 + 7.96255i 0.350872 + 0.350872i
\(516\) −11.6676 6.73629i −0.513637 0.296549i
\(517\) 18.4992 + 32.0415i 0.813592 + 1.40918i
\(518\) 0.389118 0.462517i 0.0170969 0.0203218i
\(519\) 19.1649i 0.841244i
\(520\) −0.460900 2.06285i −0.0202118 0.0904618i
\(521\) 7.74380i 0.339262i 0.985508 + 0.169631i \(0.0542576\pi\)
−0.985508 + 0.169631i \(0.945742\pi\)
\(522\) −8.10305 2.17121i −0.354661 0.0950311i
\(523\) −25.4357 + 14.6853i −1.11223 + 0.642144i −0.939405 0.342809i \(-0.888622\pi\)
−0.172821 + 0.984953i \(0.555288\pi\)
\(524\) 8.58929 14.8771i 0.375225 0.649908i
\(525\) −0.0803673 0.221699i −0.00350752 0.00967574i
\(526\) 3.61954 + 13.5083i 0.157819 + 0.588990i
\(527\) −8.76605 + 2.34886i −0.381855 + 0.102318i
\(528\) 11.8180 11.8180i 0.514312 0.514312i
\(529\) 2.53887 4.39745i 0.110386 0.191194i
\(530\) −20.8177 36.0574i −0.904265 1.56623i
\(531\) −4.77649 1.27986i −0.207282 0.0555410i
\(532\) −31.7816 14.8701i −1.37791 0.644699i
\(533\) −1.18821 + 28.2872i −0.0514670 + 1.22525i
\(534\) −16.6849 −0.722025
\(535\) 0.597665 2.23051i 0.0258393 0.0964336i
\(536\) 1.39248 + 2.41185i 0.0601462 + 0.104176i
\(537\) −3.38514 + 5.86324i −0.146080 + 0.253018i
\(538\) −31.0590 31.0590i −1.33905 1.33905i
\(539\) −18.0920 + 25.6964i −0.779279 + 1.10682i
\(540\) −4.55971 + 1.22177i −0.196219 + 0.0525766i
\(541\) −22.3031 22.3031i −0.958885 0.958885i 0.0403026 0.999188i \(-0.487168\pi\)
−0.999188 + 0.0403026i \(0.987168\pi\)
\(542\) −10.6112 6.12637i −0.455789 0.263150i
\(543\) −14.3408 + 8.27968i −0.615424 + 0.355315i
\(544\) 20.5523 + 5.50697i 0.881172 + 0.236109i
\(545\) −8.98531 −0.384888
\(546\) 18.4874 5.83635i 0.791186 0.249773i
\(547\) −24.0410 −1.02792 −0.513959 0.857815i \(-0.671822\pi\)
−0.513959 + 0.857815i \(0.671822\pi\)
\(548\) −8.52767 2.28498i −0.364284 0.0976096i
\(549\) 3.33568 1.92586i 0.142363 0.0821936i
\(550\) 0.704268 + 0.406609i 0.0300301 + 0.0173379i
\(551\) 18.1721 + 18.1721i 0.774157 + 0.774157i
\(552\) −1.35400 + 0.362803i −0.0576301 + 0.0154419i
\(553\) −34.6944 6.16383i −1.47536 0.262113i
\(554\) −28.5272 28.5272i −1.21201 1.21201i
\(555\) −0.124555 + 0.215736i −0.00528707 + 0.00915747i
\(556\) 17.3748 + 30.0940i 0.736854 + 1.27627i
\(557\) 6.46251 24.1184i 0.273825 1.02193i −0.682799 0.730606i \(-0.739238\pi\)
0.956624 0.291324i \(-0.0940958\pi\)
\(558\) 7.01663 0.297037
\(559\) −21.7597 6.82130i −0.920338 0.288510i
\(560\) −9.24994 + 19.7698i −0.390881 + 0.835425i
\(561\) −11.3988 3.05429i −0.481256 0.128952i
\(562\) −22.1528 38.3698i −0.934461 1.61853i
\(563\) 10.6879 18.5120i 0.450442 0.780189i −0.547971 0.836497i \(-0.684600\pi\)
0.998413 + 0.0563081i \(0.0179329\pi\)
\(564\) 12.4132 12.4132i 0.522689 0.522689i
\(565\) −18.7944 + 5.03594i −0.790685 + 0.211863i
\(566\) −14.9243 55.6981i −0.627313 2.34116i
\(567\) −0.901685 2.48736i −0.0378672 0.104459i
\(568\) −1.82305 + 3.15761i −0.0764934 + 0.132490i
\(569\) 6.81979 3.93741i 0.285901 0.165065i −0.350191 0.936678i \(-0.613883\pi\)
0.636092 + 0.771614i \(0.280550\pi\)
\(570\) 27.0836 + 7.25702i 1.13441 + 0.303963i
\(571\) 30.5555i 1.27871i 0.768912 + 0.639355i \(0.220798\pi\)
−0.768912 + 0.639355i \(0.779202\pi\)
\(572\) −18.4787 + 29.1119i −0.772634 + 1.21723i
\(573\) 8.89668i 0.371664i
\(574\) −27.1813 + 32.3085i −1.13452 + 1.34853i
\(575\) 0.236143 + 0.409012i 0.00984786 + 0.0170570i
\(576\) −7.79879 4.50263i −0.324949 0.187610i
\(577\) −10.2122 10.2122i −0.425140 0.425140i 0.461829 0.886969i \(-0.347193\pi\)
−0.886969 + 0.461829i \(0.847193\pi\)
\(578\) 5.30766 + 19.8085i 0.220770 + 0.823923i
\(579\) 1.15868 + 4.32426i 0.0481532 + 0.179710i
\(580\) −13.7784 + 13.7784i −0.572117 + 0.572117i
\(581\) −11.0440 15.8159i −0.458180 0.656154i
\(582\) 3.52300 2.03400i 0.146033 0.0843121i
\(583\) −10.7422 + 40.0906i −0.444898 + 1.66038i
\(584\) 4.41789 0.182813
\(585\) −7.08118 + 3.70111i −0.292771 + 0.153022i
\(586\) 21.2743i 0.878834i
\(587\) −6.93252 + 25.8725i −0.286136 + 1.06787i 0.661870 + 0.749619i \(0.269763\pi\)
−0.948005 + 0.318254i \(0.896903\pi\)
\(588\) 13.9987 + 5.13615i 0.577297 + 0.211811i
\(589\) −18.6155 10.7477i −0.767037 0.442849i
\(590\) −15.7476 + 15.7476i −0.648317 + 0.648317i
\(591\) 1.57369 0.421669i 0.0647329 0.0173451i
\(592\) −0.404218 + 0.108310i −0.0166133 + 0.00445151i
\(593\) −4.55865 + 4.55865i −0.187201 + 0.187201i −0.794485 0.607284i \(-0.792259\pi\)
0.607284 + 0.794485i \(0.292259\pi\)
\(594\) 7.90156 + 4.56197i 0.324205 + 0.187180i
\(595\) 15.3545 1.32334i 0.629475 0.0542518i
\(596\) 3.34804 12.4951i 0.137141 0.511817i
\(597\) 12.4355i 0.508953i
\(598\) −34.4105 + 17.9853i −1.40715 + 0.735475i
\(599\) −11.7896 −0.481711 −0.240855 0.970561i \(-0.577428\pi\)
−0.240855 + 0.970561i \(0.577428\pi\)
\(600\) 0.00610260 0.0227752i 0.000249138 0.000929795i
\(601\) 12.6934 7.32853i 0.517774 0.298937i −0.218250 0.975893i \(-0.570035\pi\)
0.736023 + 0.676956i \(0.236701\pi\)
\(602\) −19.4696 27.8822i −0.793523 1.13639i
\(603\) 7.44409 7.44409i 0.303147 0.303147i
\(604\) 10.6302 + 39.6725i 0.432537 + 1.61425i
\(605\) 5.25127 + 19.5980i 0.213495 + 0.796773i
\(606\) −12.9201 12.9201i −0.524842 0.524842i
\(607\) 8.67196 + 5.00676i 0.351984 + 0.203218i 0.665559 0.746345i \(-0.268193\pi\)
−0.313575 + 0.949564i \(0.601527\pi\)
\(608\) 25.1982 + 43.6446i 1.02192 + 1.77002i
\(609\) −8.35703 7.03081i −0.338644 0.284903i
\(610\) 17.3467i 0.702348i
\(611\) 15.9237 25.0866i 0.644203 1.01489i
\(612\) 5.59925i 0.226336i
\(613\) 5.30907 + 1.42256i 0.214431 + 0.0574567i 0.364435 0.931229i \(-0.381262\pi\)
−0.150004 + 0.988685i \(0.547929\pi\)
\(614\) −15.3245 + 8.84762i −0.618447 + 0.357061i
\(615\) 8.70062 15.0699i 0.350843 0.607678i
\(616\) −2.95414 + 1.07090i −0.119026 + 0.0431476i
\(617\) 1.17910 + 4.40045i 0.0474687 + 0.177156i 0.985590 0.169151i \(-0.0541025\pi\)
−0.938122 + 0.346306i \(0.887436\pi\)
\(618\) −9.97506 + 2.67281i −0.401256 + 0.107516i
\(619\) −24.3594 + 24.3594i −0.979088 + 0.979088i −0.999786 0.0206980i \(-0.993411\pi\)
0.0206980 + 0.999786i \(0.493411\pi\)
\(620\) 8.14907 14.1146i 0.327274 0.566856i
\(621\) 2.64942 + 4.58893i 0.106318 + 0.184148i
\(622\) −10.4209 2.79226i −0.417839 0.111960i
\(623\) −19.6744 9.20531i −0.788237 0.368803i
\(624\) −12.8079 4.01504i −0.512725 0.160730i
\(625\) 24.5464 0.981856
\(626\) 9.72044 36.2772i 0.388507 1.44993i
\(627\) −13.9755 24.2063i −0.558128 0.966706i
\(628\) 8.85163 15.3315i 0.353218 0.611792i
\(629\) 0.208936 + 0.208936i 0.00833082 + 0.00833082i
\(630\) −11.7318 2.08428i −0.467406 0.0830396i
\(631\) −29.1395 + 7.80790i −1.16003 + 0.310828i −0.786976 0.616984i \(-0.788354\pi\)
−0.373049 + 0.927812i \(0.621688\pi\)
\(632\) −2.49136 2.49136i −0.0991012 0.0991012i
\(633\) 0.193271 + 0.111585i 0.00768182 + 0.00443510i
\(634\) −36.9859 + 21.3538i −1.46890 + 0.848070i
\(635\) 15.3299 + 4.10764i 0.608349 + 0.163007i
\(636\) 19.6931 0.780883
\(637\) 25.0199 + 3.31769i 0.991323 + 0.131452i
\(638\) 37.6620 1.49105
\(639\) 13.3131 + 3.56722i 0.526657 + 0.141117i
\(640\) −4.05297 + 2.33998i −0.160208 + 0.0924959i
\(641\) −5.38559 3.10937i −0.212718 0.122813i 0.389856 0.920876i \(-0.372525\pi\)
−0.602574 + 0.798063i \(0.705858\pi\)
\(642\) 1.49745 + 1.49745i 0.0590995 + 0.0590995i
\(643\) 14.3667 3.84955i 0.566568 0.151811i 0.0358459 0.999357i \(-0.488587\pi\)
0.530722 + 0.847546i \(0.321921\pi\)
\(644\) −29.4033 5.22381i −1.15865 0.205847i
\(645\) 9.91062 + 9.91062i 0.390230 + 0.390230i
\(646\) 16.6291 28.8025i 0.654264 1.13322i
\(647\) 3.53916 + 6.13001i 0.139139 + 0.240995i 0.927171 0.374639i \(-0.122233\pi\)
−0.788032 + 0.615634i \(0.788900\pi\)
\(648\) 0.0684684 0.255528i 0.00268969 0.0100381i
\(649\) 22.2005 0.871447
\(650\) 0.0274095 0.652526i 0.00107509 0.0255942i
\(651\) 8.27383 + 3.87119i 0.324277 + 0.151724i
\(652\) 0.820257 + 0.219787i 0.0321237 + 0.00860753i
\(653\) 21.2746 + 36.8487i 0.832539 + 1.44200i 0.896019 + 0.444017i \(0.146447\pi\)
−0.0634796 + 0.997983i \(0.520220\pi\)
\(654\) 4.12010 7.13622i 0.161109 0.279048i
\(655\) −12.6368 + 12.6368i −0.493761 + 0.493761i
\(656\) 28.2361 7.56584i 1.10243 0.295396i
\(657\) −4.32232 16.1311i −0.168630 0.629335i
\(658\) 41.6588 15.1016i 1.62403 0.588721i
\(659\) 16.5688 28.6980i 0.645429 1.11791i −0.338774 0.940868i \(-0.610012\pi\)
0.984202 0.177047i \(-0.0566545\pi\)
\(660\) 18.3537 10.5965i 0.714415 0.412468i
\(661\) −24.7310 6.62666i −0.961925 0.257747i −0.256510 0.966542i \(-0.582573\pi\)
−0.705415 + 0.708794i \(0.749239\pi\)
\(662\) 62.1630i 2.41604i
\(663\) 2.06657 + 9.24931i 0.0802588 + 0.359213i
\(664\) 1.92877i 0.0748510i
\(665\) 27.9325 + 23.4998i 1.08318 + 0.911281i
\(666\) −0.114226 0.197846i −0.00442618 0.00766637i
\(667\) 18.9423 + 10.9363i 0.733448 + 0.423457i
\(668\) 31.1542 + 31.1542i 1.20539 + 1.20539i
\(669\) 1.45774 + 5.44036i 0.0563594 + 0.210336i
\(670\) −12.2712 45.7966i −0.474076 1.76928i
\(671\) −12.2275 + 12.2275i −0.472037 + 0.472037i
\(672\) −12.2613 17.5593i −0.472991 0.677364i
\(673\) 0.329696 0.190350i 0.0127088 0.00733746i −0.493632 0.869671i \(-0.664331\pi\)
0.506341 + 0.862333i \(0.330998\pi\)
\(674\) 1.39077 5.19043i 0.0535705 0.199928i
\(675\) −0.0891302 −0.00343062
\(676\) 27.5947 + 2.32233i 1.06133 + 0.0893205i
\(677\) 30.7685i 1.18253i −0.806477 0.591265i \(-0.798629\pi\)
0.806477 0.591265i \(-0.201371\pi\)
\(678\) 4.61833 17.2358i 0.177366 0.661938i
\(679\) 5.27642 0.454753i 0.202490 0.0174518i
\(680\) 1.33450 + 0.770476i 0.0511759 + 0.0295464i
\(681\) 3.05446 3.05446i 0.117047 0.117047i
\(682\) −30.4278 + 8.15310i −1.16514 + 0.312199i
\(683\) −38.2684 + 10.2540i −1.46430 + 0.392358i −0.900973 0.433875i \(-0.857146\pi\)
−0.563328 + 0.826234i \(0.690479\pi\)
\(684\) −9.37774 + 9.37774i −0.358567 + 0.358567i
\(685\) 7.95393 + 4.59221i 0.303904 + 0.175459i
\(686\) 26.5109 + 26.7174i 1.01219 + 1.02008i
\(687\) −6.22131 + 23.2182i −0.237358 + 0.885831i
\(688\) 23.5449i 0.897640i
\(689\) 32.5307 7.26832i 1.23932 0.276901i
\(690\) 23.8641 0.908489
\(691\) 1.21810 4.54600i 0.0463386 0.172938i −0.938878 0.344249i \(-0.888134\pi\)
0.985217 + 0.171311i \(0.0548003\pi\)
\(692\) 35.3550 20.4122i 1.34399 0.775955i
\(693\) 6.80042 + 9.73878i 0.258327 + 0.369946i
\(694\) 4.56817 4.56817i 0.173405 0.173405i
\(695\) −9.35642 34.9187i −0.354909 1.32454i
\(696\) −0.282625 1.05477i −0.0107129 0.0399810i
\(697\) −14.5949 14.5949i −0.552822 0.552822i
\(698\) 36.9373 + 21.3258i 1.39810 + 0.807192i
\(699\) −6.82224 11.8165i −0.258041 0.446940i
\(700\) 0.323388 0.384388i 0.0122229 0.0145285i
\(701\) 19.5366i 0.737886i 0.929452 + 0.368943i \(0.120280\pi\)
−0.929452 + 0.368943i \(0.879720\pi\)
\(702\) 0.307521 7.32104i 0.0116067 0.276315i
\(703\) 0.699860i 0.0263957i
\(704\) 39.0516 + 10.4638i 1.47181 + 0.394371i
\(705\) −15.8159 + 9.13131i −0.595661 + 0.343905i
\(706\) −20.9826 + 36.3430i −0.789692 + 1.36779i
\(707\) −8.10682 22.3632i −0.304888 0.841056i
\(708\) −2.72631 10.1747i −0.102461 0.382390i
\(709\) 33.4014 8.94988i 1.25442 0.336120i 0.430375 0.902650i \(-0.358381\pi\)
0.824041 + 0.566530i \(0.191715\pi\)
\(710\) 43.8917 43.8917i 1.64723 1.64723i
\(711\) −6.65929 + 11.5342i −0.249743 + 0.432568i
\(712\) −1.08593 1.88089i −0.0406970 0.0704893i
\(713\) −17.6713 4.73502i −0.661797 0.177328i
\(714\) −5.98962 + 12.8015i −0.224156 + 0.479086i
\(715\) 26.4071 24.2781i 0.987571 0.907949i
\(716\) −14.4219 −0.538970
\(717\) −1.72063 + 6.42146i −0.0642579 + 0.239814i
\(718\) 27.1718 + 47.0629i 1.01404 + 1.75637i
\(719\) 8.27022 14.3244i 0.308427 0.534211i −0.669591 0.742730i \(-0.733531\pi\)
0.978018 + 0.208518i \(0.0668641\pi\)
\(720\) 5.83343 + 5.83343i 0.217399 + 0.217399i
\(721\) −13.2370 2.35169i −0.492971 0.0875815i
\(722\) 38.7921 10.3943i 1.44369 0.386836i
\(723\) 11.0281 + 11.0281i 0.410138 + 0.410138i
\(724\) −30.5484 17.6371i −1.13532 0.655478i
\(725\) −0.318622 + 0.183957i −0.0118333 + 0.00683198i
\(726\) −17.9729 4.81581i −0.667035 0.178732i
\(727\) 21.0001 0.778851 0.389426 0.921058i \(-0.372674\pi\)
0.389426 + 0.921058i \(0.372674\pi\)
\(728\) 1.86118 + 1.70423i 0.0689800 + 0.0631629i
\(729\) −1.00000 −0.0370370
\(730\) −72.6486 19.4661i −2.68885 0.720474i
\(731\) 14.3974 8.31232i 0.532506 0.307442i
\(732\) 7.10557 + 4.10240i 0.262629 + 0.151629i
\(733\) −9.61770 9.61770i −0.355238 0.355238i 0.506816 0.862054i \(-0.330822\pi\)
−0.862054 + 0.506816i \(0.830822\pi\)
\(734\) −47.3197 + 12.6793i −1.74660 + 0.468001i
\(735\) −12.6839 8.93034i −0.467853 0.329401i
\(736\) 30.3296 + 30.3296i 1.11796 + 1.11796i
\(737\) −23.6317 + 40.9313i −0.870485 + 1.50772i
\(738\) 7.97912 + 13.8202i 0.293715 + 0.508730i
\(739\) 10.3610 38.6677i 0.381135 1.42241i −0.463036 0.886339i \(-0.653240\pi\)
0.844171 0.536074i \(-0.180093\pi\)
\(740\) −0.530647 −0.0195070
\(741\) −12.0298 + 18.9521i −0.441926 + 0.696221i
\(742\) 45.0243 + 21.0661i 1.65289 + 0.773360i
\(743\) 12.1952 + 3.26770i 0.447399 + 0.119880i 0.475482 0.879725i \(-0.342274\pi\)
−0.0280832 + 0.999606i \(0.508940\pi\)
\(744\) 0.456676 + 0.790987i 0.0167426 + 0.0289990i
\(745\) −6.72867 + 11.6544i −0.246519 + 0.426984i
\(746\) −44.2682 + 44.2682i −1.62077 + 1.62077i
\(747\) −7.04257 + 1.88705i −0.257674 + 0.0690436i
\(748\) −6.50616 24.2813i −0.237889 0.887813i
\(749\) 0.939586 + 2.59192i 0.0343317 + 0.0947065i
\(750\) −11.4598 + 19.8489i −0.418452 + 0.724781i
\(751\) 13.0628 7.54179i 0.476667 0.275204i −0.242359 0.970187i \(-0.577921\pi\)
0.719026 + 0.694983i \(0.244588\pi\)
\(752\) −29.6338 7.94035i −1.08063 0.289555i
\(753\) 5.34358i 0.194731i
\(754\) −14.0106 26.8059i −0.510237 0.976214i
\(755\) 42.7278i 1.55502i
\(756\) 3.62827 4.31266i 0.131959 0.156850i
\(757\) 6.07461 + 10.5215i 0.220786 + 0.382412i 0.955047 0.296455i \(-0.0958046\pi\)
−0.734261 + 0.678867i \(0.762471\pi\)
\(758\) 30.9223 + 17.8530i 1.12315 + 0.648450i
\(759\) −16.8215 16.8215i −0.610581 0.610581i
\(760\) 0.944645 + 3.52546i 0.0342659 + 0.127882i
\(761\) −6.05559 22.5998i −0.219515 0.819241i −0.984528 0.175226i \(-0.943934\pi\)
0.765013 0.644014i \(-0.222732\pi\)
\(762\) −10.2917 + 10.2917i −0.372828 + 0.372828i
\(763\) 8.79549 6.14173i 0.318418 0.222346i
\(764\) 16.4124 9.47572i 0.593781 0.342819i
\(765\) 1.50762 5.62651i 0.0545080 0.203427i
\(766\) −16.0231 −0.578940
\(767\) −8.25883 15.8012i −0.298209 0.570550i
\(768\) 13.7187i 0.495029i
\(769\) −9.41454 + 35.1355i −0.339497 + 1.26702i 0.559414 + 0.828888i \(0.311026\pi\)
−0.898911 + 0.438131i \(0.855640\pi\)
\(770\) 53.2971 4.59345i 1.92069 0.165537i
\(771\) 13.6136 + 7.85983i 0.490283 + 0.283065i
\(772\) −6.74322 + 6.74322i −0.242694 + 0.242694i
\(773\) 34.2562 9.17892i 1.23211 0.330143i 0.416709 0.909040i \(-0.363183\pi\)
0.815401 +