Properties

Label 273.2.by.c.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.c.202.7

$q$-expansion

\(f(q)\) \(=\) \(q+(1.96303 + 0.525993i) q^{2} +(-0.866025 + 0.500000i) q^{3} +(1.84478 + 1.06508i) q^{4} +(1.56698 + 1.56698i) q^{5} +(-1.96303 + 0.525993i) q^{6} +(2.02456 - 1.70328i) q^{7} +(0.187059 + 0.187059i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(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} +(2.02456 - 1.70328i) 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} +(-0.901685 + 2.48736i) 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} +(5.54901 - 0.985840i) 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} +(5.84146 + 0.503451i) 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} +(-3.07837 + 4.40849i) 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} +(1.19770 - 6.89677i) 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} +(0.697326 + 0.0600996i) 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} +(-0.462799 - 2.60496i) 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} +(11.2022 + 4.06086i) 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} +(-4.31266 + 3.62827i) 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} +(-5.78489 + 7.58518i) 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} +(5.97879 - 12.9086i) q^{98} +(3.17456 + 3.17456i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{2} + 6q^{4} - 2q^{5} + 2q^{6} - 2q^{7} + 2q^{8} + 16q^{9} + O(q^{10}) \) \( 32q - 2q^{2} + 6q^{4} - 2q^{5} + 2q^{6} - 2q^{7} + 2q^{8} + 16q^{9} - 2q^{10} - 4q^{11} - 32q^{12} - 6q^{13} + 34q^{14} + 4q^{15} + 14q^{16} + 8q^{17} + 2q^{18} - 2q^{19} - 44q^{20} + 2q^{21} - 4q^{22} - 18q^{23} - 4q^{24} + 28q^{26} - 18q^{28} - 18q^{29} + 14q^{31} - 8q^{32} - 4q^{33} + 66q^{34} - 20q^{35} + 6q^{36} - 24q^{37} - 24q^{38} + 8q^{39} + 16q^{42} - 6q^{43} - 20q^{44} - 4q^{45} - 58q^{46} + 28q^{47} + 60q^{48} + 10q^{49} + 70q^{50} - 28q^{52} - 80q^{53} + 4q^{54} - 60q^{55} - 120q^{56} + 16q^{57} - 4q^{58} + 42q^{59} - 58q^{60} - 36q^{61} - 52q^{62} + 2q^{63} + 14q^{65} + 26q^{67} + 72q^{68} - 2q^{69} + 68q^{70} - 4q^{71} + 4q^{72} - 12q^{73} - 18q^{74} - 16q^{75} + 48q^{76} - 28q^{77} - 14q^{78} - 4q^{79} + 98q^{80} - 16q^{81} - 20q^{82} + 36q^{83} + 32q^{84} - 10q^{85} - 40q^{86} + 96q^{88} + 54q^{89} - 4q^{90} - 54q^{91} - 4q^{92} + 2q^{93} + 60q^{95} - 22q^{96} + 40q^{97} + 4q^{99} + O(q^{100}) \)

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 0.964577 0.263801i \(-0.0849763\pi\)
−0.263801 + 0.964577i \(0.584976\pi\)
\(6\) −1.96303 + 0.525993i −0.801405 + 0.214736i
\(7\) 2.02456 1.70328i 0.765213 0.643778i
\(8\) 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 −0.661471 0.749971i \(-0.730068\pi\)
0.980229 + 0.197865i \(0.0634009\pi\)
\(18\) 1.43704 1.43704i 0.338714 0.338714i
\(19\) 6.01372 1.61137i 1.37964 0.369674i 0.508650 0.860973i \(-0.330145\pi\)
0.870991 + 0.491299i \(0.163478\pi\)
\(20\) 1.22177 + 4.55971i 0.273196 + 1.01958i
\(21\) −0.901685 + 2.48736i −0.196764 + 0.542787i
\(22\) −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
\(28\) 5.54901 0.985840i 1.04866 0.186306i
\(29\) −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 0.453021 0.891500i \(-0.350346\pi\)
−0.891500 + 0.453021i \(0.850346\pi\)
\(32\) −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
\(35\) 5.84146 + 0.503451i 0.987387 + 0.0850987i
\(36\) 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 \(-0.706562\pi\)
0.921735 0.387819i \(-0.126772\pi\)
\(42\) −3.07837 + 4.40849i −0.475003 + 0.680245i
\(43\) −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 −0.990133 0.140131i \(-0.955248\pi\)
0.140131 + 0.990133i \(0.455248\pi\)
\(48\) 3.22397 + 1.86136i 0.465340 + 0.268664i
\(49\) 1.19770 6.89677i 0.171101 0.985254i
\(50\) 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
\(56\) 0.697326 + 0.0600996i 0.0931842 + 0.00803115i
\(57\) −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 \(0.0209852\pi\)
−0.831205 + 0.555967i \(0.812348\pi\)
\(60\) −3.33794 3.33794i −0.430926 0.430926i
\(61\) −3.33568 1.92586i −0.427090 0.246581i 0.271016 0.962575i \(-0.412640\pi\)
−0.698106 + 0.715994i \(0.745974\pi\)
\(62\) −3.50831 6.07658i −0.445556 0.771726i
\(63\) −0.462799 2.60496i −0.0583072 0.328194i
\(64\) 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
\(70\) 11.2022 + 4.06086i 1.33891 + 0.485365i
\(71\) 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 \(0.682052\pi\)
−0.840856 + 0.541259i \(0.817948\pi\)
\(74\) 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 0.930975 0.365083i \(-0.118959\pi\)
−0.365083 + 0.930975i \(0.618959\pi\)
\(84\) −4.31266 + 3.62827i −0.470550 + 0.395876i
\(85\) 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 0.653331 0.757072i \(-0.273371\pi\)
0.187265 + 0.982309i \(0.440038\pi\)
\(90\) 4.50363 0.474725
\(91\) −5.78489 + 7.58518i −0.606422 + 0.795143i
\(92\) −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 −0.355637 0.934624i \(-0.615736\pi\)
0.159321 + 0.987227i \(0.449069\pi\)
\(98\) 5.97879 12.9086i 0.603949 1.30397i
\(99\) 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 0.998210 0.0598118i \(-0.0190500\pi\)
−0.550903 + 0.834569i \(0.685717\pi\)
\(102\) −1.38260 + 5.15993i −0.136898 + 0.510909i
\(103\) 5.08145 0.500690 0.250345 0.968157i \(-0.419456\pi\)
0.250345 + 0.968157i \(0.419456\pi\)
\(104\) −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
\(112\) −9.25974 3.35672i −0.874963 0.317180i
\(113\) 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
\(119\) −1.21649 6.84726i −0.111515 0.627687i
\(120\) −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
\(126\) 0.461702 5.35705i 0.0411317 0.477244i
\(127\) −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 \(0.114599\pi\)
−0.935889 + 0.352296i \(0.885401\pi\)
\(132\) 2.47519 9.23754i 0.215438 0.804025i
\(133\) 9.43054 13.5053i 0.817731 1.17106i
\(134\) 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 −0.238107 0.971239i \(-0.576527\pi\)
−0.960171 + 0.279413i \(0.909860\pi\)
\(140\) 10.2400 + 7.15040i 0.865437 + 0.604319i
\(141\) 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
\(147\) 2.41114 + 6.57163i 0.198868 + 0.542019i
\(148\) 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
\(154\) 4.22255 + 23.7675i 0.340263 + 1.91524i
\(155\) 7.65110i 0.614551i
\(156\) 7.49562 1.67474i 0.600130 0.134087i
\(157\) 8.31072i 0.663268i 0.943408 + 0.331634i \(0.107600\pi\)
−0.943408 + 0.331634i \(0.892400\pi\)
\(158\) −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
\(161\) −4.77789 + 13.1801i −0.376550 + 1.03874i
\(162\) −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 −0.617784 0.786348i \(-0.711969\pi\)
−0.928191 + 0.372105i \(0.878636\pi\)
\(168\) −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 \(0.426467\pi\)
−0.957501 + 0.288431i \(0.906867\pi\)
\(174\) 5.93184 + 5.93184i 0.449692 + 0.449692i
\(175\) −0.151813 0.180450i −0.0114760 0.0136407i
\(176\) 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 \(-0.288985\pi\)
0.615424 + 0.788197i \(0.288985\pi\)
\(182\) −15.3457 + 11.8472i −1.13750 + 0.878169i
\(183\) 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
\(189\) 1.70328 + 2.02456i 0.123895 + 0.147265i
\(190\) 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 −0.556981 0.830526i \(-0.688040\pi\)
0.997746 + 0.0670965i \(0.0213736\pi\)
\(200\) 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
\(203\) −10.2674 3.72199i −0.720629 0.261233i
\(204\) −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
\(210\) −11.7318 + 2.08428i −0.809570 + 0.143829i
\(211\) 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
\(217\) −9.10094 0.784372i −0.617812 0.0532467i
\(218\) 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 −0.899786 0.436332i \(-0.856277\pi\)
0.997403 + 0.0720186i \(0.0229441\pi\)
\(224\) −17.5593 12.2613i −1.17323 0.819244i
\(225\) −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 −0.394614 0.918847i \(-0.629122\pi\)
0.117677 + 0.993052i \(0.462455\pi\)
\(228\) −12.8102 + 3.43249i −0.848379 + 0.227322i
\(229\) 16.9969 16.9969i 1.12319 1.12319i 0.131929 0.991259i \(-0.457883\pi\)
0.991259 0.131929i \(-0.0421171\pi\)
\(230\) −20.6669 11.9320i −1.36273 0.786775i
\(231\) −9.73878 6.80042i −0.640765 0.447435i
\(232\) 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
\(238\) 1.21361 14.0813i 0.0786664 0.912753i
\(239\) −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 \(-0.915815\pi\)
0.705213 0.708995i \(-0.250851\pi\)
\(242\) −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
\(245\) 12.6839 8.93034i 0.810345 0.570539i
\(246\) 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 −0.769301 0.638887i \(-0.779395\pi\)
0.937943 + 0.346791i \(0.112729\pi\)
\(252\) 1.92074 5.29850i 0.120995 0.333774i
\(253\) −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 0.509655 0.860379i \(-0.329773\pi\)
−0.999937 + 0.0111844i \(0.996440\pi\)
\(258\) 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
\(266\) 25.6162 21.5510i 1.57063 1.32138i
\(267\) −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 0.946735 0.322013i \(-0.104360\pi\)
0.194496 + 0.980903i \(0.437693\pi\)
\(270\) −3.90026 + 2.25182i −0.237362 + 0.137041i
\(271\) 5.82362 + 1.56043i 0.353760 + 0.0947896i 0.431322 0.902198i \(-0.358047\pi\)
−0.0775628 + 0.996987i \(0.524714\pi\)
\(272\) −9.78534 −0.593323
\(273\) 1.21727 9.46141i 0.0736728 0.572630i
\(274\) −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
\(280\) 0.998523 + 1.18687i 0.0596732 + 0.0709293i
\(281\) −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 \(0.152732\pi\)
−0.0437635 + 0.999042i \(0.513935\pi\)
\(284\) −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 \(-0.984416\pi\)
0.840519 0.541782i \(-0.182250\pi\)
\(294\) 1.27652 + 14.1686i 0.0744483 + 0.826329i
\(295\) −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
\(301\) −16.4755 + 2.92704i −0.949630 + 0.168712i
\(302\) 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 −0.509237 0.860626i \(-0.670072\pi\)
0.860626 + 0.509237i \(0.170072\pi\)
\(308\) −2.17265 + 25.2089i −0.123798 + 1.43641i
\(309\) −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 \(-0.451908\pi\)
0.150510 + 0.988608i \(0.451908\pi\)
\(312\) 0.952978 + 0.0400300i 0.0539518 + 0.00226625i
\(313\) 18.4802i 1.04456i 0.852774 + 0.522280i \(0.174918\pi\)
−0.852774 + 0.522280i \(0.825082\pi\)
\(314\) −4.37139 + 16.3142i −0.246692 + 0.920665i
\(315\) 3.35673 4.80713i 0.189130 0.270851i
\(316\) −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
\(322\) −16.3118 + 23.3599i −0.909022 + 1.30180i
\(323\) 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
\(329\) −1.87224 + 21.7233i −0.103220 + 1.19764i
\(330\) 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
\(336\) 9.69753 1.72287i 0.529043 0.0939902i
\(337\) 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
\(343\) −9.32228 16.0030i −0.503356 0.864079i
\(344\) −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 −0.328434 0.944527i \(-0.606521\pi\)
−0.756696 + 0.653767i \(0.773188\pi\)
\(350\) −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 \(-0.731475\pi\)
0.949236 0.314565i \(-0.101859\pi\)
\(354\) −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
\(357\) 4.47714 + 5.32166i 0.236955 + 0.281652i
\(358\) −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
\(364\) −18.7507 + 7.83160i −0.982805 + 0.410487i
\(365\) −37.0084 −1.93711
\(366\) 7.56104 + 2.02598i 0.395222 + 0.105899i
\(367\) 20.8759 12.0527i 1.08971 0.629146i 0.156212 0.987724i \(-0.450072\pi\)
0.933500 + 0.358578i \(0.116738\pi\)
\(368\) 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
\(371\) 18.7168 15.7465i 0.971727 0.817520i
\(372\) 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 −0.0589428 0.998261i \(-0.518773\pi\)
0.448085 + 0.893991i \(0.352106\pi\)
\(384\) 0.546587 + 2.03989i 0.0278929 + 0.104098i
\(385\) −8.97082 + 24.7467i −0.457195 + 1.26121i
\(386\) −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
\(392\) 1.51415 1.06606i 0.0764760 0.0538443i
\(393\) −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 \(-0.765382\pi\)
0.305175 0.952296i \(-0.401285\pi\)
\(398\) 17.8704 17.8704i 0.895761 0.895761i
\(399\) −1.41442 + 16.4112i −0.0708093 + 0.821589i
\(400\) −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
\(406\) −18.1975 12.7070i −0.903125 0.630636i
\(407\) 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 0.162409 0.986724i \(-0.448074\pi\)
0.634012 + 0.773323i \(0.281407\pi\)
\(410\) 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
\(413\) 10.7268 + 7.49035i 0.527833 + 0.368576i
\(414\) −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 −0.806193 0.591652i \(-0.798476\pi\)
0.109290 + 0.994010i \(0.465142\pi\)
\(420\) −12.4433 1.07244i −0.607171 0.0523295i
\(421\) 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
\(427\) −10.0336 + 1.78257i −0.485558 + 0.0862645i
\(428\) 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 −0.805613 0.592442i \(-0.798164\pi\)
0.915876 + 0.401460i \(0.131497\pi\)
\(434\) −17.4529 6.32678i −0.837765 0.303695i
\(435\) 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 0.995044 0.0994331i \(-0.0317029\pi\)
−0.583634 + 0.812017i \(0.698370\pi\)
\(440\) −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
\(448\) −15.3384 18.2317i −0.724673 0.861368i
\(449\) −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
\(455\) −20.9507 + 2.82102i −0.982183 + 0.132252i
\(456\) −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 −0.661305 0.750117i \(-0.729997\pi\)
−0.197648 + 0.980273i \(0.563330\pi\)
\(462\) −15.5406 18.4720i −0.723013 0.859394i
\(463\) −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 \(-0.492143\pi\)
0.0246824 + 0.999695i \(0.492143\pi\)
\(468\) −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
\(476\) 5.04876 13.9274i 0.231410 0.638360i
\(477\) 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 −0.722907 0.690945i \(-0.757195\pi\)
−0.971529 + 0.236922i \(0.923861\pi\)
\(480\) 17.9382i 0.818764i
\(481\) −0.0170100 + 0.404950i −0.000775588 + 0.0184641i
\(482\) 31.6955i 1.44369i
\(483\) −2.45230 13.8033i −0.111583 0.628071i
\(484\) −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
\(490\) 29.5962 10.8589i 1.33702 0.490556i
\(491\) −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
\(497\) 29.8979 + 20.8772i 1.34110 + 0.936468i
\(498\) −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 \(-0.962933\pi\)
−0.597235 0.802066i \(-0.703734\pi\)
\(504\) 0.400711 0.573853i 0.0178491 0.0255614i
\(505\) −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 \(0.347179\pi\)
−0.843464 + 0.537185i \(0.819488\pi\)
\(510\) −10.2520 + 5.91901i −0.453967 + 0.262098i
\(511\) −3.79401 + 44.0213i −0.167837 + 1.94739i
\(512\) −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
\(518\) −0.105728 0.595110i −0.00464540 0.0261476i
\(519\) 19.1649i 0.841244i
\(520\) −0.460900 2.06285i −0.0202118 0.0904618i
\(521\) 7.74380i 0.339262i −0.985508 0.169631i \(-0.945742\pi\)
0.985508 0.169631i \(-0.0542576\pi\)
\(522\) −8.10305 2.17121i −0.354661 0.0950311i
\(523\) 25.4357 14.6853i 1.11223 0.642144i 0.172821 0.984953i \(-0.444712\pi\)
0.939405 + 0.342809i \(0.111378\pi\)
\(524\) −8.58929 + 14.8771i −0.375225 + 0.649908i
\(525\) 0.221699 + 0.0803673i 0.00967574 + 0.00350752i
\(526\) 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
\(539\) 28.5164 + 13.2077i 1.22829 + 0.568897i
\(540\) −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
\(546\) 7.36619 17.9328i 0.315244 0.767452i
\(547\) −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
\(553\) −26.9643 + 22.6852i −1.14664 + 0.964674i
\(554\) −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 −0.998413 0.0563081i \(-0.982067\pi\)
0.547971 + 0.836497i \(0.315400\pi\)
\(564\) 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
\(567\) −2.48736 0.901685i −0.104459 0.0378672i
\(568\) −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
\(574\) −7.38545 41.5706i −0.308263 1.73512i
\(575\) 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 0.886969 0.461829i \(-0.152807\pi\)
−0.461829 + 0.886969i \(0.652807\pi\)
\(578\) 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
\(581\) 19.2189 + 1.65640i 0.797336 + 0.0687190i
\(582\) 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 \(-0.730237\pi\)
0.948005 0.318254i \(-0.103097\pi\)
\(588\) −2.55131 + 14.6913i −0.105214 + 0.605859i
\(589\) −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 −0.607284 0.794485i \(-0.707741\pi\)
0.794485 + 0.607284i \(0.207741\pi\)
\(594\) −7.90156 4.56197i −0.324205 0.187180i
\(595\) 8.82332 12.6358i 0.361721 0.518016i
\(596\) 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 −0.736023 0.676956i \(-0.763299\pi\)
0.218250 + 0.975893i \(0.429965\pi\)
\(602\) −33.8815 2.92010i −1.38091 0.119015i
\(603\) 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 0.313575 0.949564i \(-0.398473\pi\)
−0.665559 + 0.746345i \(0.731807\pi\)
\(608\) −25.1982 43.6446i −1.02192 1.77002i
\(609\) 10.7528 1.91035i 0.435726 0.0774113i
\(610\) 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
\(616\) −1.07090 + 2.95414i −0.0431476 + 0.119026i
\(617\) 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 −0.0206980 0.999786i \(-0.506589\pi\)
0.999786 + 0.0206980i \(0.00658886\pi\)
\(620\) 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
\(630\) 9.11789 7.67093i 0.363265 0.305617i
\(631\) −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
\(637\) 1.20778 + 25.2099i 0.0478539 + 0.998854i
\(638\) 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 −0.530722 0.847546i \(-0.678079\pi\)
−0.0358459 + 0.999357i \(0.511413\pi\)
\(644\) −22.8521 + 19.2256i −0.900500 + 0.757595i
\(645\) 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 0.788032 0.615634i \(-0.211100\pi\)
−0.927171 + 0.374639i \(0.877767\pi\)
\(648\) 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
\(658\) −15.1016 + 41.6588i −0.588721 + 1.62403i
\(659\) 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 0.705415 0.708794i \(-0.250761\pi\)
0.256510 + 0.966542i \(0.417427\pi\)
\(662\) 62.1630i 2.41604i
\(663\) −2.06657 9.24931i −0.0802588 0.359213i
\(664\) 1.92877i 0.0748510i
\(665\) 35.9401 6.38514i 1.39370 0.247605i
\(666\) −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
\(672\) 21.3374 + 1.83898i 0.823110 + 0.0709404i
\(673\) 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 \(0.201371\pi\)
−0.806477 + 0.591265i \(0.798629\pi\)
\(678\) −4.61833 + 17.2358i −0.177366 + 0.661938i
\(679\) −3.03204 + 4.34214i −0.116359 + 0.166636i
\(680\) 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
\(686\) −9.88249 36.3178i −0.377315 1.38662i
\(687\) −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 −0.985217 0.171311i \(-0.945200\pi\)
0.938878 + 0.344249i \(0.111866\pi\)
\(692\) −35.3550 + 20.4122i −1.34399 + 0.775955i
\(693\) 11.8342 + 1.01994i 0.449546 + 0.0387445i
\(694\) 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
\(700\) −0.0878681 0.494584i −0.00332110 0.0186935i
\(701\) 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
\(707\) 22.3632 + 8.10682i 0.841056 + 0.304888i
\(708\) −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 −0.978018 0.208518i \(-0.933136\pi\)
0.669591 + 0.742730i \(0.266469\pi\)
\(720\) −5.83343 5.83343i −0.217399 0.217399i
\(721\) 10.2877 8.65511i 0.383135 0.322333i
\(722\) 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 \(-0.627326\pi\)
−0.389426 + 0.921058i \(0.627326\pi\)
\(728\) −2.50100 + 0.336761i −0.0926931 + 0.0124812i
\(729\) −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 0.862054 0.506816i \(-0.169178\pi\)
−0.506816 + 0.862054i \(0.669178\pi\)
\(734\) 47.3197 12.6793i 1.74660 0.468001i
\(735\) −6.51942 + 14.0759i −0.240472 + 0.519196i
\(736\) 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
\(749\) 2.59192 + 0.939586i 0.0947065 + 0.0343317i
\(750\) −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
\(756\) 0.985840 + 5.54901i 0.0358547 + 0.201815i
\(757\) 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 \(0.0560657\pi\)
−0.765013 + 0.644014i \(0.777268\pi\)
\(762\) 10.2917 10.2917i 0.372828 0.372828i
\(763\) 0.921153 10.6880i 0.0333480 0.386931i
\(764\) 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 \(-0.688974\pi\)
0.898911 0.438131i \(-0.144360\pi\)
\(770\) −30.6266 + 43.8599i −1.10371 + 1.58060i
\(771\) 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 −0.815401 0.578897i \(-0.803483\pi\)
−0.416709 + 0.909040i \(0.636817\pi\)