Properties

Label 273.2.cd.e.44.13
Level $273$
Weight $2$
Character 273.44
Analytic conductor $2.180$
Analytic rank $0$
Dimension $112$
CM no
Inner twists $8$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(112\)
Relative dimension: \(28\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 44.13
Character \(\chi\) \(=\) 273.44
Dual form 273.2.cd.e.242.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.578797 + 0.155088i) q^{2} +(0.590016 - 1.62846i) q^{3} +(-1.42110 + 0.820471i) q^{4} +(-0.609213 + 0.163238i) q^{5} +(-0.0889444 + 1.03405i) q^{6} +(2.12540 - 1.57565i) q^{7} +(1.54270 - 1.54270i) q^{8} +(-2.30376 - 1.92163i) q^{9} +O(q^{10})\) \(q+(-0.578797 + 0.155088i) q^{2} +(0.590016 - 1.62846i) q^{3} +(-1.42110 + 0.820471i) q^{4} +(-0.609213 + 0.163238i) q^{5} +(-0.0889444 + 1.03405i) q^{6} +(2.12540 - 1.57565i) q^{7} +(1.54270 - 1.54270i) q^{8} +(-2.30376 - 1.92163i) q^{9} +(0.327294 - 0.188963i) q^{10} +(-4.87875 - 1.30726i) q^{11} +(0.497634 + 2.79829i) q^{12} +(2.92387 - 2.10974i) q^{13} +(-0.985809 + 1.24161i) q^{14} +(-0.0936184 + 1.08839i) q^{15} +(0.987288 - 1.71003i) q^{16} +(-1.40216 - 2.42862i) q^{17} +(1.63143 + 0.754949i) q^{18} +(-0.846959 - 3.16090i) q^{19} +(0.731818 - 0.731818i) q^{20} +(-1.31187 - 4.39079i) q^{21} +3.02654 q^{22} +(-0.0947877 + 0.164177i) q^{23} +(-1.60201 - 3.42244i) q^{24} +(-3.98563 + 2.30111i) q^{25} +(-1.36513 + 1.67457i) q^{26} +(-4.48856 + 2.61779i) q^{27} +(-1.72762 + 3.98298i) q^{28} -6.29206i q^{29} +(-0.114611 - 0.644476i) q^{30} +(4.65914 + 1.24841i) q^{31} +(-1.43557 + 5.35761i) q^{32} +(-5.00735 + 7.17354i) q^{33} +(1.18822 + 1.18822i) q^{34} +(-1.03761 + 1.30685i) q^{35} +(4.85052 + 0.840658i) q^{36} +(5.36873 - 1.43855i) q^{37} +(0.980435 + 1.69816i) q^{38} +(-1.71050 - 6.00618i) q^{39} +(-0.688004 + 1.19166i) q^{40} +(1.27587 + 1.27587i) q^{41} +(1.44026 + 2.33792i) q^{42} +1.11979i q^{43} +(8.00574 - 2.14513i) q^{44} +(1.71717 + 0.794622i) q^{45} +(0.0294009 - 0.109726i) q^{46} +(3.19947 + 11.9406i) q^{47} +(-2.20220 - 2.61670i) q^{48} +(2.03465 - 6.69778i) q^{49} +(1.95000 - 1.95000i) q^{50} +(-4.78220 + 0.850443i) q^{51} +(-2.42412 + 5.39709i) q^{52} +(11.7406 - 6.77845i) q^{53} +(2.19198 - 2.21129i) q^{54} +3.18559 q^{55} +(0.848096 - 5.70961i) q^{56} +(-5.64711 - 0.485739i) q^{57} +(0.975824 + 3.64182i) q^{58} +(-4.79496 - 1.28481i) q^{59} +(-0.759953 - 1.62352i) q^{60} +(-3.34959 + 5.80165i) q^{61} -2.89031 q^{62} +(-7.92424 - 0.454312i) q^{63} +0.625545i q^{64} +(-1.43687 + 1.76257i) q^{65} +(1.78571 - 4.92860i) q^{66} +(8.14904 + 2.18353i) q^{67} +(3.98522 + 2.30087i) q^{68} +(0.211430 + 0.251225i) q^{69} +(0.397890 - 0.917323i) q^{70} +(5.98679 + 5.98679i) q^{71} +(-6.51851 + 0.589510i) q^{72} +(0.480360 - 1.79273i) q^{73} +(-2.88430 + 1.66525i) q^{74} +(1.39567 + 7.84813i) q^{75} +(3.79704 + 3.79704i) q^{76} +(-12.4291 + 4.90876i) q^{77} +(1.92152 + 3.21108i) q^{78} +(-4.82027 + 8.34896i) q^{79} +(-0.322326 + 1.20294i) q^{80} +(1.61465 + 8.85398i) q^{81} +(-0.936345 - 0.540599i) q^{82} +(6.08706 + 6.08706i) q^{83} +(5.46680 + 5.16339i) q^{84} +(1.25066 + 1.25066i) q^{85} +(-0.173667 - 0.648132i) q^{86} +(-10.2464 - 3.71241i) q^{87} +(-9.54314 + 5.50973i) q^{88} +(-1.77830 - 6.63669i) q^{89} +(-1.11713 - 0.193613i) q^{90} +(2.89017 - 9.09103i) q^{91} -0.311082i q^{92} +(4.78195 - 6.85064i) q^{93} +(-3.70368 - 6.41497i) q^{94} +(1.03196 + 1.78740i) q^{95} +(7.87764 + 5.49884i) q^{96} +(2.17196 - 2.17196i) q^{97} +(-0.138901 + 4.19220i) q^{98} +(8.72741 + 12.3868i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9} - 48 q^{13} - 12 q^{15} + 40 q^{16} - 26 q^{18} + 40 q^{19} - 10 q^{21} + 16 q^{22} + 32 q^{24} - 24 q^{27} - 52 q^{28} - 12 q^{31} - 44 q^{33} + 16 q^{34} - 8 q^{37} - 42 q^{39} - 160 q^{40} - 80 q^{42} + 6 q^{45} + 32 q^{46} + 72 q^{48} - 12 q^{52} + 34 q^{54} - 48 q^{55} - 24 q^{57} - 28 q^{58} + 44 q^{60} + 78 q^{63} + 4 q^{66} + 24 q^{67} - 12 q^{70} - 26 q^{72} - 40 q^{73} + 112 q^{76} + 32 q^{78} + 48 q^{79} + 128 q^{81} - 150 q^{84} + 160 q^{85} - 48 q^{87} + 24 q^{91} + 10 q^{93} - 8 q^{94} - 106 q^{96} + 56 q^{97} - 36 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.578797 + 0.155088i −0.409271 + 0.109664i −0.457580 0.889169i \(-0.651284\pi\)
0.0483087 + 0.998832i \(0.484617\pi\)
\(3\) 0.590016 1.62846i 0.340646 0.940192i
\(4\) −1.42110 + 0.820471i −0.710549 + 0.410236i
\(5\) −0.609213 + 0.163238i −0.272448 + 0.0730023i −0.392456 0.919771i \(-0.628375\pi\)
0.120008 + 0.992773i \(0.461708\pi\)
\(6\) −0.0889444 + 1.03405i −0.0363114 + 0.422150i
\(7\) 2.12540 1.57565i 0.803325 0.595540i
\(8\) 1.54270 1.54270i 0.545426 0.545426i
\(9\) −2.30376 1.92163i −0.767921 0.640545i
\(10\) 0.327294 0.188963i 0.103499 0.0597554i
\(11\) −4.87875 1.30726i −1.47100 0.394153i −0.567725 0.823219i \(-0.692176\pi\)
−0.903273 + 0.429066i \(0.858843\pi\)
\(12\) 0.497634 + 2.79829i 0.143655 + 0.807797i
\(13\) 2.92387 2.10974i 0.810935 0.585136i
\(14\) −0.985809 + 1.24161i −0.263469 + 0.331833i
\(15\) −0.0936184 + 1.08839i −0.0241722 + 0.281021i
\(16\) 0.987288 1.71003i 0.246822 0.427508i
\(17\) −1.40216 2.42862i −0.340074 0.589026i 0.644372 0.764712i \(-0.277119\pi\)
−0.984446 + 0.175686i \(0.943786\pi\)
\(18\) 1.63143 + 0.754949i 0.384532 + 0.177943i
\(19\) −0.846959 3.16090i −0.194306 0.725159i −0.992445 0.122687i \(-0.960849\pi\)
0.798140 0.602473i \(-0.205818\pi\)
\(20\) 0.731818 0.731818i 0.163640 0.163640i
\(21\) −1.31187 4.39079i −0.286273 0.958148i
\(22\) 3.02654 0.645261
\(23\) −0.0947877 + 0.164177i −0.0197646 + 0.0342333i −0.875739 0.482786i \(-0.839625\pi\)
0.855974 + 0.517019i \(0.172958\pi\)
\(24\) −1.60201 3.42244i −0.327008 0.698602i
\(25\) −3.98563 + 2.30111i −0.797127 + 0.460221i
\(26\) −1.36513 + 1.67457i −0.267724 + 0.328410i
\(27\) −4.48856 + 2.61779i −0.863824 + 0.503794i
\(28\) −1.72762 + 3.98298i −0.326490 + 0.752713i
\(29\) 6.29206i 1.16841i −0.811607 0.584203i \(-0.801407\pi\)
0.811607 0.584203i \(-0.198593\pi\)
\(30\) −0.114611 0.644476i −0.0209249 0.117665i
\(31\) 4.65914 + 1.24841i 0.836806 + 0.224221i 0.651681 0.758493i \(-0.274064\pi\)
0.185125 + 0.982715i \(0.440731\pi\)
\(32\) −1.43557 + 5.35761i −0.253775 + 0.947100i
\(33\) −5.00735 + 7.17354i −0.871668 + 1.24875i
\(34\) 1.18822 + 1.18822i 0.203777 + 0.203777i
\(35\) −1.03761 + 1.30685i −0.175389 + 0.220898i
\(36\) 4.85052 + 0.840658i 0.808419 + 0.140110i
\(37\) 5.36873 1.43855i 0.882613 0.236495i 0.211079 0.977469i \(-0.432302\pi\)
0.671534 + 0.740974i \(0.265636\pi\)
\(38\) 0.980435 + 1.69816i 0.159047 + 0.275478i
\(39\) −1.71050 6.00618i −0.273899 0.961758i
\(40\) −0.688004 + 1.19166i −0.108783 + 0.188418i
\(41\) 1.27587 + 1.27587i 0.199258 + 0.199258i 0.799682 0.600424i \(-0.205001\pi\)
−0.600424 + 0.799682i \(0.705001\pi\)
\(42\) 1.44026 + 2.33792i 0.222237 + 0.360749i
\(43\) 1.11979i 0.170767i 0.996348 + 0.0853834i \(0.0272115\pi\)
−0.996348 + 0.0853834i \(0.972788\pi\)
\(44\) 8.00574 2.14513i 1.20691 0.323391i
\(45\) 1.71717 + 0.794622i 0.255980 + 0.118455i
\(46\) 0.0294009 0.109726i 0.00433492 0.0161782i
\(47\) 3.19947 + 11.9406i 0.466691 + 1.74171i 0.651223 + 0.758886i \(0.274256\pi\)
−0.184533 + 0.982826i \(0.559077\pi\)
\(48\) −2.20220 2.61670i −0.317861 0.377689i
\(49\) 2.03465 6.69778i 0.290664 0.956825i
\(50\) 1.95000 1.95000i 0.275771 0.275771i
\(51\) −4.78220 + 0.850443i −0.669642 + 0.119086i
\(52\) −2.42412 + 5.39709i −0.336165 + 0.748442i
\(53\) 11.7406 6.77845i 1.61270 0.931092i 0.623956 0.781459i \(-0.285524\pi\)
0.988742 0.149633i \(-0.0478091\pi\)
\(54\) 2.19198 2.21129i 0.298290 0.300919i
\(55\) 3.18559 0.429545
\(56\) 0.848096 5.70961i 0.113332 0.762978i
\(57\) −5.64711 0.485739i −0.747978 0.0643376i
\(58\) 0.975824 + 3.64182i 0.128132 + 0.478195i
\(59\) −4.79496 1.28481i −0.624250 0.167267i −0.0671912 0.997740i \(-0.521404\pi\)
−0.557059 + 0.830473i \(0.688070\pi\)
\(60\) −0.759953 1.62352i −0.0981095 0.209596i
\(61\) −3.34959 + 5.80165i −0.428871 + 0.742826i −0.996773 0.0802700i \(-0.974422\pi\)
0.567902 + 0.823096i \(0.307755\pi\)
\(62\) −2.89031 −0.367069
\(63\) −7.92424 0.454312i −0.998361 0.0572379i
\(64\) 0.625545i 0.0781932i
\(65\) −1.43687 + 1.76257i −0.178221 + 0.218619i
\(66\) 1.78571 4.92860i 0.219805 0.606669i
\(67\) 8.14904 + 2.18353i 0.995564 + 0.266761i 0.719586 0.694403i \(-0.244332\pi\)
0.275978 + 0.961164i \(0.410998\pi\)
\(68\) 3.98522 + 2.30087i 0.483279 + 0.279021i
\(69\) 0.211430 + 0.251225i 0.0254531 + 0.0302439i
\(70\) 0.397890 0.917323i 0.0475570 0.109641i
\(71\) 5.98679 + 5.98679i 0.710501 + 0.710501i 0.966640 0.256139i \(-0.0824504\pi\)
−0.256139 + 0.966640i \(0.582450\pi\)
\(72\) −6.51851 + 0.589510i −0.768214 + 0.0694745i
\(73\) 0.480360 1.79273i 0.0562219 0.209823i −0.932101 0.362199i \(-0.882026\pi\)
0.988323 + 0.152376i \(0.0486926\pi\)
\(74\) −2.88430 + 1.66525i −0.335293 + 0.193582i
\(75\) 1.39567 + 7.84813i 0.161158 + 0.906224i
\(76\) 3.79704 + 3.79704i 0.435550 + 0.435550i
\(77\) −12.4291 + 4.90876i −1.41642 + 0.559405i
\(78\) 1.92152 + 3.21108i 0.217569 + 0.363583i
\(79\) −4.82027 + 8.34896i −0.542323 + 0.939331i 0.456447 + 0.889751i \(0.349122\pi\)
−0.998770 + 0.0495804i \(0.984212\pi\)
\(80\) −0.322326 + 1.20294i −0.0360371 + 0.134492i
\(81\) 1.61465 + 8.85398i 0.179405 + 0.983775i
\(82\) −0.936345 0.540599i −0.103402 0.0596992i
\(83\) 6.08706 + 6.08706i 0.668141 + 0.668141i 0.957286 0.289144i \(-0.0933707\pi\)
−0.289144 + 0.957286i \(0.593371\pi\)
\(84\) 5.46680 + 5.16339i 0.596477 + 0.563372i
\(85\) 1.25066 + 1.25066i 0.135653 + 0.135653i
\(86\) −0.173667 0.648132i −0.0187269 0.0698899i
\(87\) −10.2464 3.71241i −1.09853 0.398013i
\(88\) −9.54314 + 5.50973i −1.01730 + 0.587340i
\(89\) −1.77830 6.63669i −0.188499 0.703488i −0.993854 0.110695i \(-0.964692\pi\)
0.805355 0.592792i \(-0.201974\pi\)
\(90\) −1.11713 0.193613i −0.117755 0.0204086i
\(91\) 2.89017 9.09103i 0.302972 0.952999i
\(92\) 0.311082i 0.0324326i
\(93\) 4.78195 6.85064i 0.495866 0.710378i
\(94\) −3.70368 6.41497i −0.382006 0.661654i
\(95\) 1.03196 + 1.78740i 0.105877 + 0.183384i
\(96\) 7.87764 + 5.49884i 0.804009 + 0.561223i
\(97\) 2.17196 2.17196i 0.220529 0.220529i −0.588192 0.808721i \(-0.700160\pi\)
0.808721 + 0.588192i \(0.200160\pi\)
\(98\) −0.138901 + 4.19220i −0.0140311 + 0.423476i
\(99\) 8.72741 + 12.3868i 0.877138 + 1.24492i
\(100\) 3.77598 6.54019i 0.377598 0.654019i
\(101\) −0.875463 1.51635i −0.0871119 0.150882i 0.819177 0.573540i \(-0.194430\pi\)
−0.906289 + 0.422658i \(0.861097\pi\)
\(102\) 2.63603 1.23390i 0.261006 0.122174i
\(103\) −14.3362 8.27701i −1.41259 0.815558i −0.416957 0.908926i \(-0.636903\pi\)
−0.995632 + 0.0933679i \(0.970237\pi\)
\(104\) 1.25595 7.76534i 0.123156 0.761454i
\(105\) 1.51595 + 2.46078i 0.147941 + 0.240147i
\(106\) −5.74417 + 5.74417i −0.557924 + 0.557924i
\(107\) −12.2699 7.08403i −1.18618 0.684839i −0.228741 0.973487i \(-0.573461\pi\)
−0.957435 + 0.288649i \(0.906794\pi\)
\(108\) 4.23086 7.40287i 0.407115 0.712342i
\(109\) −2.24370 0.601199i −0.214908 0.0575844i 0.149759 0.988723i \(-0.452150\pi\)
−0.364667 + 0.931138i \(0.618817\pi\)
\(110\) −1.84381 + 0.494047i −0.175800 + 0.0471055i
\(111\) 0.825018 9.59152i 0.0783073 0.910387i
\(112\) −0.596034 5.19012i −0.0563199 0.490420i
\(113\) 2.48413i 0.233687i −0.993150 0.116844i \(-0.962722\pi\)
0.993150 0.116844i \(-0.0372776\pi\)
\(114\) 3.34386 0.594656i 0.313181 0.0556946i
\(115\) 0.0309459 0.115492i 0.00288572 0.0107697i
\(116\) 5.16245 + 8.94163i 0.479322 + 0.830210i
\(117\) −10.7900 0.758262i −0.997540 0.0701013i
\(118\) 2.97456 0.273831
\(119\) −6.80680 2.95246i −0.623979 0.270652i
\(120\) 1.53463 + 1.82348i 0.140092 + 0.166461i
\(121\) 12.5670 + 7.25555i 1.14245 + 0.659595i
\(122\) 1.03896 3.87746i 0.0940632 0.351049i
\(123\) 2.83050 1.32492i 0.255217 0.119464i
\(124\) −7.64538 + 2.04857i −0.686575 + 0.183967i
\(125\) 4.28234 4.28234i 0.383024 0.383024i
\(126\) 4.65698 0.966001i 0.414877 0.0860582i
\(127\) 18.0650i 1.60301i −0.597986 0.801506i \(-0.704032\pi\)
0.597986 0.801506i \(-0.295968\pi\)
\(128\) −2.96815 11.0773i −0.262350 0.979102i
\(129\) 1.82354 + 0.660695i 0.160554 + 0.0581710i
\(130\) 0.558301 1.24301i 0.0489662 0.109019i
\(131\) 6.72144 + 3.88062i 0.587255 + 0.339052i 0.764011 0.645203i \(-0.223227\pi\)
−0.176756 + 0.984255i \(0.556561\pi\)
\(132\) 1.23025 14.3027i 0.107080 1.24489i
\(133\) −6.78060 5.38365i −0.587952 0.466822i
\(134\) −5.05528 −0.436709
\(135\) 2.30716 2.32750i 0.198569 0.200319i
\(136\) −5.90973 1.58351i −0.506755 0.135785i
\(137\) 17.0570 + 4.57040i 1.45728 + 0.390476i 0.898548 0.438875i \(-0.144623\pi\)
0.558728 + 0.829351i \(0.311290\pi\)
\(138\) −0.161337 0.112618i −0.0137339 0.00958668i
\(139\) −9.21743 −0.781812 −0.390906 0.920431i \(-0.627838\pi\)
−0.390906 + 0.920431i \(0.627838\pi\)
\(140\) 0.402316 2.70850i 0.0340019 0.228910i
\(141\) 21.3325 + 1.83492i 1.79652 + 0.154528i
\(142\) −4.39361 2.53665i −0.368704 0.212871i
\(143\) −17.0228 + 6.47064i −1.42352 + 0.541102i
\(144\) −5.56053 + 2.04230i −0.463378 + 0.170192i
\(145\) 1.02710 + 3.83320i 0.0852963 + 0.318330i
\(146\) 1.11212i 0.0920400i
\(147\) −9.70659 7.26513i −0.800586 0.599218i
\(148\) −6.44920 + 6.44920i −0.530121 + 0.530121i
\(149\) 14.7672 3.95685i 1.20977 0.324158i 0.403100 0.915156i \(-0.367933\pi\)
0.806673 + 0.590998i \(0.201266\pi\)
\(150\) −2.02496 4.32602i −0.165338 0.353218i
\(151\) 1.39020 5.18831i 0.113133 0.422218i −0.886007 0.463671i \(-0.846532\pi\)
0.999140 + 0.0414528i \(0.0131986\pi\)
\(152\) −6.18291 3.56971i −0.501500 0.289541i
\(153\) −1.43666 + 8.28939i −0.116147 + 0.670158i
\(154\) 6.43261 4.76878i 0.518355 0.384279i
\(155\) −3.04219 −0.244355
\(156\) 7.35868 + 7.13195i 0.589166 + 0.571013i
\(157\) 4.42043 + 7.65640i 0.352788 + 0.611047i 0.986737 0.162328i \(-0.0519002\pi\)
−0.633949 + 0.773375i \(0.718567\pi\)
\(158\) 1.49513 5.57991i 0.118946 0.443914i
\(159\) −4.11128 23.1185i −0.326046 1.83342i
\(160\) 3.49826i 0.276562i
\(161\) 0.0572242 + 0.498294i 0.00450990 + 0.0392711i
\(162\) −2.30770 4.87424i −0.181310 0.382956i
\(163\) 15.7150 4.21081i 1.23089 0.329816i 0.415964 0.909381i \(-0.363444\pi\)
0.814926 + 0.579565i \(0.196778\pi\)
\(164\) −2.85996 0.766324i −0.223325 0.0598398i
\(165\) 1.87955 5.18760i 0.146323 0.403854i
\(166\) −4.46720 2.57914i −0.346722 0.200180i
\(167\) −0.0342068 + 0.0342068i −0.00264700 + 0.00264700i −0.708429 0.705782i \(-0.750596\pi\)
0.705782 + 0.708429i \(0.250596\pi\)
\(168\) −8.79747 4.74985i −0.678740 0.366459i
\(169\) 4.09800 12.3372i 0.315231 0.949015i
\(170\) −0.917838 0.529914i −0.0703950 0.0406425i
\(171\) −4.12289 + 8.90950i −0.315285 + 0.681327i
\(172\) −0.918757 1.59133i −0.0700546 0.121338i
\(173\) 6.08396 10.5377i 0.462555 0.801168i −0.536533 0.843880i \(-0.680266\pi\)
0.999087 + 0.0427112i \(0.0135995\pi\)
\(174\) 6.50632 + 0.559643i 0.493242 + 0.0424265i
\(175\) −4.84532 + 11.1707i −0.366272 + 0.844429i
\(176\) −7.05218 + 7.05218i −0.531578 + 0.531578i
\(177\) −4.92136 + 7.05034i −0.369912 + 0.529936i
\(178\) 2.05854 + 3.56550i 0.154294 + 0.267246i
\(179\) 2.66066 + 4.60841i 0.198867 + 0.344448i 0.948161 0.317789i \(-0.102940\pi\)
−0.749294 + 0.662237i \(0.769607\pi\)
\(180\) −3.09222 + 0.279649i −0.230481 + 0.0208438i
\(181\) 11.1053i 0.825450i 0.910856 + 0.412725i \(0.135423\pi\)
−0.910856 + 0.412725i \(0.864577\pi\)
\(182\) −0.262911 + 5.71009i −0.0194882 + 0.423260i
\(183\) 7.47145 + 8.87774i 0.552306 + 0.656261i
\(184\) 0.107047 + 0.399505i 0.00789160 + 0.0294519i
\(185\) −3.03587 + 1.75276i −0.223202 + 0.128866i
\(186\) −1.70533 + 4.70675i −0.125041 + 0.345116i
\(187\) 3.66597 + 13.6816i 0.268082 + 1.00050i
\(188\) −14.3437 14.3437i −1.04612 1.04612i
\(189\) −5.41526 + 12.6363i −0.393902 + 0.919153i
\(190\) −0.874498 0.874498i −0.0634427 0.0634427i
\(191\) −7.30603 4.21814i −0.528646 0.305214i 0.211819 0.977309i \(-0.432061\pi\)
−0.740465 + 0.672095i \(0.765395\pi\)
\(192\) 1.01868 + 0.369082i 0.0735166 + 0.0266362i
\(193\) 0.217532 0.811840i 0.0156583 0.0584375i −0.957655 0.287919i \(-0.907036\pi\)
0.973313 + 0.229482i \(0.0737032\pi\)
\(194\) −0.920278 + 1.59397i −0.0660721 + 0.114440i
\(195\) 2.02249 + 3.37982i 0.144834 + 0.242034i
\(196\) 2.60390 + 11.1876i 0.185993 + 0.799112i
\(197\) 7.41450 + 7.41450i 0.528261 + 0.528261i 0.920054 0.391792i \(-0.128145\pi\)
−0.391792 + 0.920054i \(0.628145\pi\)
\(198\) −6.97244 5.81591i −0.495510 0.413318i
\(199\) 0.0921476 0.0532014i 0.00653217 0.00377135i −0.496730 0.867905i \(-0.665466\pi\)
0.503263 + 0.864134i \(0.332133\pi\)
\(200\) −2.59872 + 9.69854i −0.183757 + 0.685791i
\(201\) 8.36385 11.9821i 0.589941 0.845150i
\(202\) 0.741883 + 0.741883i 0.0521987 + 0.0521987i
\(203\) −9.91409 13.3731i −0.695833 0.938611i
\(204\) 6.09821 5.13222i 0.426960 0.359327i
\(205\) −0.985550 0.569007i −0.0688338 0.0397412i
\(206\) 9.58142 + 2.56733i 0.667569 + 0.178875i
\(207\) 0.533857 0.196078i 0.0371056 0.0136284i
\(208\) −0.721025 7.08283i −0.0499941 0.491106i
\(209\) 16.5284i 1.14329i
\(210\) −1.25906 1.18918i −0.0868836 0.0820615i
\(211\) −19.2864 −1.32773 −0.663864 0.747853i \(-0.731085\pi\)
−0.663864 + 0.747853i \(0.731085\pi\)
\(212\) −11.1230 + 19.2657i −0.763934 + 1.32317i
\(213\) 13.2815 6.21695i 0.910037 0.425978i
\(214\) 8.20042 + 2.19730i 0.560569 + 0.150204i
\(215\) −0.182793 0.682192i −0.0124664 0.0465251i
\(216\) −2.88603 + 10.9630i −0.196370 + 0.745935i
\(217\) 11.8696 4.68780i 0.805760 0.318229i
\(218\) 1.39189 0.0942705
\(219\) −2.63597 1.83998i −0.178122 0.124335i
\(220\) −4.52703 + 2.61368i −0.305212 + 0.176214i
\(221\) −9.22348 4.14275i −0.620438 0.278672i
\(222\) 1.01001 + 5.67949i 0.0677876 + 0.381182i
\(223\) −19.5886 + 19.5886i −1.31175 + 1.31175i −0.391624 + 0.920125i \(0.628087\pi\)
−0.920125 + 0.391624i \(0.871913\pi\)
\(224\) 5.39057 + 13.6490i 0.360173 + 0.911963i
\(225\) 13.6038 + 2.35772i 0.906923 + 0.157182i
\(226\) 0.385259 + 1.43781i 0.0256270 + 0.0956414i
\(227\) 6.28349 23.4503i 0.417050 1.55645i −0.363645 0.931538i \(-0.618468\pi\)
0.780695 0.624913i \(-0.214866\pi\)
\(228\) 8.42363 3.94301i 0.557869 0.261132i
\(229\) −13.3404 + 3.57456i −0.881561 + 0.236214i −0.671081 0.741384i \(-0.734170\pi\)
−0.210481 + 0.977598i \(0.567503\pi\)
\(230\) 0.0716456i 0.00472417i
\(231\) 0.660379 + 23.1365i 0.0434497 + 1.52227i
\(232\) −9.70675 9.70675i −0.637279 0.637279i
\(233\) −8.83595 + 15.3043i −0.578863 + 1.00262i 0.416748 + 0.909022i \(0.363170\pi\)
−0.995610 + 0.0935972i \(0.970163\pi\)
\(234\) 6.36284 1.23453i 0.415952 0.0807036i
\(235\) −3.89831 6.75208i −0.254298 0.440457i
\(236\) 7.86825 2.10829i 0.512179 0.137238i
\(237\) 10.7519 + 12.7756i 0.698411 + 0.829867i
\(238\) 4.39765 + 0.653219i 0.285057 + 0.0423419i
\(239\) −10.2026 10.2026i −0.659950 0.659950i 0.295418 0.955368i \(-0.404541\pi\)
−0.955368 + 0.295418i \(0.904541\pi\)
\(240\) 1.76876 + 1.23465i 0.114173 + 0.0796960i
\(241\) −4.37567 + 16.3302i −0.281862 + 1.05192i 0.669240 + 0.743046i \(0.266620\pi\)
−0.951102 + 0.308877i \(0.900047\pi\)
\(242\) −8.39897 2.25050i −0.539906 0.144668i
\(243\) 15.3710 + 2.59460i 0.986051 + 0.166443i
\(244\) 10.9930i 0.703752i
\(245\) −0.146200 + 4.41250i −0.00934037 + 0.281904i
\(246\) −1.43280 + 1.20584i −0.0913521 + 0.0768814i
\(247\) −9.14506 7.45518i −0.581886 0.474361i
\(248\) 9.11357 5.26172i 0.578712 0.334120i
\(249\) 13.5040 6.32107i 0.855781 0.400582i
\(250\) −1.81447 + 3.14275i −0.114757 + 0.198765i
\(251\) 24.6814 1.55787 0.778937 0.627102i \(-0.215759\pi\)
0.778937 + 0.627102i \(0.215759\pi\)
\(252\) 11.6339 5.85599i 0.732865 0.368893i
\(253\) 0.677067 0.677067i 0.0425668 0.0425668i
\(254\) 2.80167 + 10.4560i 0.175793 + 0.656067i
\(255\) 2.77455 1.29874i 0.173749 0.0813301i
\(256\) 2.81036 + 4.86769i 0.175648 + 0.304231i
\(257\) −2.33559 + 4.04536i −0.145690 + 0.252343i −0.929630 0.368494i \(-0.879874\pi\)
0.783940 + 0.620836i \(0.213207\pi\)
\(258\) −1.15792 0.0995992i −0.0720892 0.00620078i
\(259\) 9.14404 11.5167i 0.568183 0.715614i
\(260\) 0.595794 3.68369i 0.0369495 0.228453i
\(261\) −12.0910 + 14.4954i −0.748416 + 0.897244i
\(262\) −4.49218 1.20368i −0.277528 0.0743634i
\(263\) 2.05144 1.18440i 0.126497 0.0730332i −0.435416 0.900229i \(-0.643399\pi\)
0.561913 + 0.827196i \(0.310065\pi\)
\(264\) 3.34178 + 18.7914i 0.205672 + 1.15653i
\(265\) −6.04603 + 6.04603i −0.371405 + 0.371405i
\(266\) 4.75953 + 2.06445i 0.291825 + 0.126580i
\(267\) −11.8568 1.01987i −0.725625 0.0624149i
\(268\) −13.3721 + 3.58304i −0.816831 + 0.218869i
\(269\) 16.9032 9.75907i 1.03061 0.595021i 0.113448 0.993544i \(-0.463810\pi\)
0.917158 + 0.398523i \(0.130477\pi\)
\(270\) −0.974412 + 1.70496i −0.0593008 + 0.103761i
\(271\) 14.1635 3.79511i 0.860373 0.230536i 0.198453 0.980110i \(-0.436408\pi\)
0.661920 + 0.749574i \(0.269742\pi\)
\(272\) −5.53735 −0.335751
\(273\) −13.0991 10.0704i −0.792796 0.609487i
\(274\) −10.5813 −0.639242
\(275\) 22.4530 6.01627i 1.35397 0.362795i
\(276\) −0.506585 0.183543i −0.0304928 0.0110480i
\(277\) 10.0421 5.79783i 0.603374 0.348358i −0.166994 0.985958i \(-0.553406\pi\)
0.770368 + 0.637600i \(0.220073\pi\)
\(278\) 5.33502 1.42951i 0.319973 0.0857365i
\(279\) −8.33456 11.8292i −0.498977 0.708196i
\(280\) 0.415354 + 3.61680i 0.0248222 + 0.216145i
\(281\) 9.17695 9.17695i 0.547451 0.547451i −0.378252 0.925703i \(-0.623475\pi\)
0.925703 + 0.378252i \(0.123475\pi\)
\(282\) −12.6318 + 2.24637i −0.752210 + 0.133769i
\(283\) 3.02366 1.74571i 0.179738 0.103772i −0.407432 0.913236i \(-0.633576\pi\)
0.587170 + 0.809464i \(0.300242\pi\)
\(284\) −13.4198 3.59582i −0.796319 0.213373i
\(285\) 3.51958 0.625905i 0.208482 0.0370754i
\(286\) 8.84921 6.38522i 0.523265 0.377566i
\(287\) 4.72208 + 0.701409i 0.278735 + 0.0414029i
\(288\) 13.6026 9.58403i 0.801539 0.564744i
\(289\) 4.56789 7.91181i 0.268699 0.465401i
\(290\) −1.18897 2.05935i −0.0698186 0.120929i
\(291\) −2.25546 4.81844i −0.132217 0.282462i
\(292\) 0.788243 + 2.94176i 0.0461284 + 0.172154i
\(293\) −11.5707 + 11.5707i −0.675966 + 0.675966i −0.959085 0.283119i \(-0.908631\pi\)
0.283119 + 0.959085i \(0.408631\pi\)
\(294\) 6.74488 + 2.69966i 0.393369 + 0.157447i
\(295\) 3.13088 0.182287
\(296\) 6.06308 10.5016i 0.352410 0.610391i
\(297\) 25.3207 6.90385i 1.46925 0.400602i
\(298\) −7.93352 + 4.58042i −0.459577 + 0.265337i
\(299\) 0.0692243 + 0.680009i 0.00400334 + 0.0393260i
\(300\) −8.42255 10.0079i −0.486276 0.577804i
\(301\) 1.76440 + 2.38001i 0.101698 + 0.137181i
\(302\) 3.21858i 0.185208i
\(303\) −2.98585 + 0.530988i −0.171532 + 0.0305045i
\(304\) −6.24143 1.67239i −0.357970 0.0959179i
\(305\) 1.09356 4.08122i 0.0626171 0.233690i
\(306\) −0.454052 5.02068i −0.0259564 0.287013i
\(307\) 1.22279 + 1.22279i 0.0697881 + 0.0697881i 0.741139 0.671351i \(-0.234286\pi\)
−0.671351 + 0.741139i \(0.734286\pi\)
\(308\) 13.6354 17.1735i 0.776950 0.978552i
\(309\) −21.9374 + 18.4624i −1.24797 + 1.05029i
\(310\) 1.76081 0.471808i 0.100007 0.0267969i
\(311\) 14.5467 + 25.1956i 0.824868 + 1.42871i 0.902020 + 0.431694i \(0.142084\pi\)
−0.0771516 + 0.997019i \(0.524583\pi\)
\(312\) −11.9045 6.62694i −0.673960 0.375177i
\(313\) 3.87011 6.70322i 0.218751 0.378888i −0.735675 0.677335i \(-0.763135\pi\)
0.954427 + 0.298446i \(0.0964683\pi\)
\(314\) −3.74594 3.74594i −0.211396 0.211396i
\(315\) 4.90171 1.01676i 0.276180 0.0572882i
\(316\) 15.8196i 0.889921i
\(317\) 2.23446 0.598722i 0.125500 0.0336276i −0.195522 0.980699i \(-0.562640\pi\)
0.321022 + 0.947072i \(0.395974\pi\)
\(318\) 5.96500 + 12.7433i 0.334501 + 0.714609i
\(319\) −8.22534 + 30.6974i −0.460530 + 1.71872i
\(320\) −0.102113 0.381090i −0.00570828 0.0213036i
\(321\) −18.7755 + 15.8013i −1.04795 + 0.881945i
\(322\) −0.110401 0.279536i −0.00615239 0.0155779i
\(323\) −6.48903 + 6.48903i −0.361059 + 0.361059i
\(324\) −9.55900 11.2576i −0.531056 0.625422i
\(325\) −6.79873 + 15.1368i −0.377126 + 0.839637i
\(326\) −8.44272 + 4.87440i −0.467599 + 0.269968i
\(327\) −2.30285 + 3.29907i −0.127348 + 0.182439i
\(328\) 3.93658 0.217361
\(329\) 25.6143 + 20.3373i 1.41216 + 1.12123i
\(330\) −0.283340 + 3.29406i −0.0155974 + 0.181332i
\(331\) 5.48984 + 20.4884i 0.301749 + 1.12614i 0.935708 + 0.352775i \(0.114762\pi\)
−0.633959 + 0.773366i \(0.718571\pi\)
\(332\) −13.6446 3.65605i −0.748842 0.200652i
\(333\) −15.1326 7.00266i −0.829263 0.383743i
\(334\) 0.0144937 0.0251038i 0.000793060 0.00137362i
\(335\) −5.32093 −0.290714
\(336\) −8.80358 2.09164i −0.480274 0.114108i
\(337\) 14.0203i 0.763735i −0.924217 0.381867i \(-0.875281\pi\)
0.924217 0.381867i \(-0.124719\pi\)
\(338\) −0.458555 + 7.77628i −0.0249421 + 0.422974i
\(339\) −4.04530 1.46567i −0.219711 0.0796045i
\(340\) −2.80343 0.751178i −0.152037 0.0407383i
\(341\) −21.0988 12.1814i −1.14256 0.659659i
\(342\) 1.00456 5.79620i 0.0543202 0.313423i
\(343\) −6.22893 17.4413i −0.336330 0.941744i
\(344\) 1.72750 + 1.72750i 0.0931407 + 0.0931407i
\(345\) −0.169815 0.118536i −0.00914253 0.00638177i
\(346\) −1.88710 + 7.04275i −0.101451 + 0.378621i
\(347\) −15.8244 + 9.13621i −0.849497 + 0.490457i −0.860481 0.509482i \(-0.829837\pi\)
0.0109840 + 0.999940i \(0.496504\pi\)
\(348\) 17.6070 3.13115i 0.943835 0.167847i
\(349\) −0.993560 0.993560i −0.0531841 0.0531841i 0.680015 0.733199i \(-0.261973\pi\)
−0.733199 + 0.680015i \(0.761973\pi\)
\(350\) 1.07201 7.21704i 0.0573012 0.385767i
\(351\) −7.60109 + 17.1238i −0.405716 + 0.913999i
\(352\) 14.0075 24.2618i 0.746604 1.29316i
\(353\) −8.15676 + 30.4414i −0.434140 + 1.62023i 0.308975 + 0.951070i \(0.400014\pi\)
−0.743115 + 0.669163i \(0.766653\pi\)
\(354\) 1.75504 4.84396i 0.0932793 0.257454i
\(355\) −4.62450 2.66996i −0.245443 0.141707i
\(356\) 7.97234 + 7.97234i 0.422533 + 0.422533i
\(357\) −8.82408 + 9.34261i −0.467020 + 0.494463i
\(358\) −2.25469 2.25469i −0.119164 0.119164i
\(359\) 6.16476 + 23.0072i 0.325364 + 1.21427i 0.913946 + 0.405837i \(0.133020\pi\)
−0.588582 + 0.808438i \(0.700314\pi\)
\(360\) 3.87493 1.42321i 0.204227 0.0750096i
\(361\) 7.18056 4.14570i 0.377924 0.218195i
\(362\) −1.72230 6.42771i −0.0905221 0.337833i
\(363\) 19.2301 16.1839i 1.00932 0.849436i
\(364\) 3.35171 + 15.2905i 0.175678 + 0.801443i
\(365\) 1.17057i 0.0612702i
\(366\) −5.70128 3.97967i −0.298011 0.208021i
\(367\) 8.47298 + 14.6756i 0.442286 + 0.766061i 0.997859 0.0654064i \(-0.0208344\pi\)
−0.555573 + 0.831468i \(0.687501\pi\)
\(368\) 0.187165 + 0.324180i 0.00975667 + 0.0168991i
\(369\) −0.487549 5.39107i −0.0253808 0.280648i
\(370\) 1.48532 1.48532i 0.0772181 0.0772181i
\(371\) 14.2730 32.9060i 0.741019 1.70840i
\(372\) −1.17487 + 13.6589i −0.0609144 + 0.708180i
\(373\) 13.4127 23.2315i 0.694484 1.20288i −0.275870 0.961195i \(-0.588966\pi\)
0.970354 0.241687i \(-0.0777008\pi\)
\(374\) −4.24370 7.35031i −0.219437 0.380075i
\(375\) −4.44697 9.50027i −0.229641 0.490592i
\(376\) 23.3565 + 13.4849i 1.20452 + 0.695431i
\(377\) −13.2746 18.3971i −0.683677 0.947501i
\(378\) 1.17460 8.15367i 0.0604148 0.419379i
\(379\) 0.604563 0.604563i 0.0310543 0.0310543i −0.691409 0.722463i \(-0.743010\pi\)
0.722463 + 0.691409i \(0.243010\pi\)
\(380\) −2.93302 1.69338i −0.150461 0.0868686i
\(381\) −29.4182 10.6587i −1.50714 0.546059i
\(382\) 4.88289 + 1.30837i 0.249830 + 0.0669419i
\(383\) −30.9591 + 8.29547i −1.58194 + 0.423879i −0.939525 0.342480i \(-0.888733\pi\)
−0.642412 + 0.766359i \(0.722066\pi\)
\(384\) −19.7902 1.70226i −1.00991 0.0868680i
\(385\) 6.77065 5.01938i 0.345064 0.255811i
\(386\) 0.503627i 0.0256339i
\(387\) 2.15183 2.57974i 0.109384 0.131135i
\(388\) −1.30454 + 4.86860i −0.0662278 + 0.247166i
\(389\) −13.6175 23.5862i −0.690435 1.19587i −0.971696 0.236236i \(-0.924086\pi\)
0.281261 0.959631i \(-0.409247\pi\)
\(390\) −1.69478 1.64256i −0.0858187 0.0831745i
\(391\) 0.531631 0.0268857
\(392\) −7.19381 13.4715i −0.363342 0.680413i
\(393\) 10.2852 8.65596i 0.518819 0.436636i
\(394\) −5.44139 3.14159i −0.274133 0.158271i
\(395\) 1.57370 5.87314i 0.0791816 0.295510i
\(396\) −22.5655 10.4422i −1.13396 0.524742i
\(397\) 27.7511 7.43588i 1.39279 0.373196i 0.517038 0.855962i \(-0.327034\pi\)
0.875749 + 0.482766i \(0.160368\pi\)
\(398\) −0.0450838 + 0.0450838i −0.00225985 + 0.00225985i
\(399\) −12.7677 + 7.86549i −0.639186 + 0.393767i
\(400\) 9.08742i 0.454371i
\(401\) −0.944439 3.52469i −0.0471630 0.176015i 0.938327 0.345750i \(-0.112375\pi\)
−0.985490 + 0.169735i \(0.945709\pi\)
\(402\) −2.98269 + 8.23232i −0.148763 + 0.410591i
\(403\) 16.2565 6.17938i 0.809795 0.307817i
\(404\) 2.48824 + 1.43658i 0.123794 + 0.0714728i
\(405\) −2.42897 5.13038i −0.120696 0.254931i
\(406\) 7.81226 + 6.20277i 0.387716 + 0.307838i
\(407\) −28.0732 −1.39154
\(408\) −6.06551 + 8.68947i −0.300288 + 0.430193i
\(409\) −6.90735 1.85082i −0.341547 0.0915171i 0.0839687 0.996468i \(-0.473240\pi\)
−0.425515 + 0.904951i \(0.639907\pi\)
\(410\) 0.658679 + 0.176493i 0.0325298 + 0.00871635i
\(411\) 17.5066 25.0800i 0.863537 1.23711i
\(412\) 27.1642 1.33828
\(413\) −12.2156 + 4.82446i −0.601091 + 0.237396i
\(414\) −0.278585 + 0.196284i −0.0136917 + 0.00964683i
\(415\) −4.70195 2.71467i −0.230810 0.133258i
\(416\) 7.10575 + 18.6936i 0.348388 + 0.916529i
\(417\) −5.43843 + 15.0102i −0.266321 + 0.735053i
\(418\) −2.56336 9.56659i −0.125378 0.467917i
\(419\) 1.06805i 0.0521776i 0.999660 + 0.0260888i \(0.00830526\pi\)
−0.999660 + 0.0260888i \(0.991695\pi\)
\(420\) −4.17331 2.25321i −0.203636 0.109945i
\(421\) 13.1501 13.1501i 0.640898 0.640898i −0.309878 0.950776i \(-0.600288\pi\)
0.950776 + 0.309878i \(0.100288\pi\)
\(422\) 11.1629 2.99109i 0.543401 0.145604i
\(423\) 15.5746 33.6565i 0.757263 1.63643i
\(424\) 7.65513 28.5693i 0.371766 1.38745i
\(425\) 11.1770 + 6.45305i 0.542164 + 0.313019i
\(426\) −6.72314 + 5.65816i −0.325737 + 0.274139i
\(427\) 2.02217 + 17.6086i 0.0978599 + 0.852141i
\(428\) 23.2490 1.12378
\(429\) 0.493474 + 31.5387i 0.0238252 + 1.52270i
\(430\) 0.211600 + 0.366501i 0.0102042 + 0.0176743i
\(431\) 4.57072 17.0582i 0.220164 0.821662i −0.764121 0.645073i \(-0.776827\pi\)
0.984285 0.176589i \(-0.0565064\pi\)
\(432\) 0.0450090 + 10.2601i 0.00216550 + 0.493639i
\(433\) 22.5992i 1.08605i 0.839717 + 0.543025i \(0.182721\pi\)
−0.839717 + 0.543025i \(0.817279\pi\)
\(434\) −6.14306 + 4.55412i −0.294876 + 0.218605i
\(435\) 6.84822 + 0.589053i 0.328347 + 0.0282429i
\(436\) 3.68179 0.986532i 0.176326 0.0472463i
\(437\) 0.599228 + 0.160563i 0.0286650 + 0.00768075i
\(438\) 1.81105 + 0.656170i 0.0865352 + 0.0313530i
\(439\) −7.07699 4.08590i −0.337766 0.195010i 0.321517 0.946904i \(-0.395807\pi\)
−0.659284 + 0.751894i \(0.729140\pi\)
\(440\) 4.91440 4.91440i 0.234285 0.234285i
\(441\) −17.5580 + 11.5202i −0.836096 + 0.548583i
\(442\) 5.98101 + 0.967359i 0.284488 + 0.0460126i
\(443\) −15.5991 9.00612i −0.741133 0.427894i 0.0813479 0.996686i \(-0.474078\pi\)
−0.822481 + 0.568792i \(0.807411\pi\)
\(444\) 6.69713 + 14.3074i 0.317832 + 0.678999i
\(445\) 2.16672 + 3.75287i 0.102712 + 0.177903i
\(446\) 8.29986 14.3758i 0.393010 0.680713i
\(447\) 2.26929 26.3823i 0.107334 1.24784i
\(448\) 0.985641 + 1.32953i 0.0465672 + 0.0628146i
\(449\) −1.78185 + 1.78185i −0.0840906 + 0.0840906i −0.747901 0.663810i \(-0.768938\pi\)
0.663810 + 0.747901i \(0.268938\pi\)
\(450\) −8.23951 + 0.745151i −0.388414 + 0.0351268i
\(451\) −4.55677 7.89256i −0.214570 0.371646i
\(452\) 2.03816 + 3.53019i 0.0958668 + 0.166046i
\(453\) −7.62871 5.32507i −0.358428 0.250194i
\(454\) 14.5474i 0.682745i
\(455\) −0.276727 + 6.01016i −0.0129731 + 0.281761i
\(456\) −9.46114 + 7.96244i −0.443058 + 0.372875i
\(457\) 0.574076 + 2.14248i 0.0268542 + 0.100221i 0.978052 0.208360i \(-0.0668126\pi\)
−0.951198 + 0.308581i \(0.900146\pi\)
\(458\) 7.16703 4.13789i 0.334893 0.193351i
\(459\) 12.6513 + 7.23042i 0.590512 + 0.337487i
\(460\) 0.0507804 + 0.189515i 0.00236765 + 0.00883619i
\(461\) 4.60624 + 4.60624i 0.214534 + 0.214534i 0.806190 0.591656i \(-0.201526\pi\)
−0.591656 + 0.806190i \(0.701526\pi\)
\(462\) −3.97042 13.2889i −0.184721 0.618256i
\(463\) −10.6044 10.6044i −0.492827 0.492827i 0.416369 0.909196i \(-0.363303\pi\)
−0.909196 + 0.416369i \(0.863303\pi\)
\(464\) −10.7596 6.21207i −0.499503 0.288388i
\(465\) −1.79494 + 4.95409i −0.0832384 + 0.229740i
\(466\) 2.74070 10.2284i 0.126961 0.473823i
\(467\) 21.4057 37.0758i 0.990540 1.71567i 0.376428 0.926446i \(-0.377152\pi\)
0.614112 0.789219i \(-0.289514\pi\)
\(468\) 15.9558 7.77535i 0.737559 0.359416i
\(469\) 20.7604 8.19918i 0.958628 0.378603i
\(470\) 3.30350 + 3.30350i 0.152379 + 0.152379i
\(471\) 15.0763 2.68109i 0.694678 0.123538i
\(472\) −9.37924 + 5.41511i −0.431715 + 0.249251i
\(473\) 1.46386 5.46319i 0.0673082 0.251198i
\(474\) −8.20452 5.72700i −0.376846 0.263050i
\(475\) 10.6492 + 10.6492i 0.488620 + 0.488620i
\(476\) 12.0955 1.38905i 0.554398 0.0636671i
\(477\) −40.0733 6.94523i −1.83483 0.318000i
\(478\) 7.48751 + 4.32292i 0.342471 + 0.197726i
\(479\) 18.3716 + 4.92266i 0.839421 + 0.224922i 0.652819 0.757514i \(-0.273586\pi\)
0.186601 + 0.982436i \(0.440253\pi\)
\(480\) −5.69678 2.06403i −0.260021 0.0942096i
\(481\) 12.6625 15.5327i 0.577360 0.708232i
\(482\) 10.1305i 0.461432i
\(483\) 0.845215 + 0.200814i 0.0384586 + 0.00913736i
\(484\) −23.8119 −1.08236
\(485\) −0.968639 + 1.67773i −0.0439836 + 0.0761819i
\(486\) −9.29908 + 0.882118i −0.421815 + 0.0400137i
\(487\) −40.6366 10.8885i −1.84142 0.493407i −0.842450 0.538774i \(-0.818888\pi\)
−0.998970 + 0.0453670i \(0.985554\pi\)
\(488\) 3.78280 + 14.1176i 0.171239 + 0.639074i
\(489\) 2.41494 28.0756i 0.109207 1.26962i
\(490\) −0.599706 2.57662i −0.0270920 0.116400i
\(491\) −30.4714 −1.37516 −0.687578 0.726110i \(-0.741326\pi\)
−0.687578 + 0.726110i \(0.741326\pi\)
\(492\) −2.93535 + 4.20519i −0.132336 + 0.189584i
\(493\) −15.2810 + 8.82249i −0.688221 + 0.397345i
\(494\) 6.44934 + 2.89674i 0.290170 + 0.130330i
\(495\) −7.33884 6.12153i −0.329856 0.275142i
\(496\) 6.73473 6.73473i 0.302399 0.302399i
\(497\) 22.1574 + 3.29123i 0.993896 + 0.147632i
\(498\) −6.83574 + 5.75292i −0.306317 + 0.257795i
\(499\) 4.69363 + 17.5169i 0.210116 + 0.784162i 0.987829 + 0.155543i \(0.0497128\pi\)
−0.777713 + 0.628619i \(0.783621\pi\)
\(500\) −2.57209 + 9.59917i −0.115027 + 0.429288i
\(501\) 0.0355218 + 0.0758869i 0.00158700 + 0.00339038i
\(502\) −14.2855 + 3.82779i −0.637593 + 0.170843i
\(503\) 43.5885i 1.94351i 0.235984 + 0.971757i \(0.424169\pi\)
−0.235984 + 0.971757i \(0.575831\pi\)
\(504\) −12.9256 + 11.5238i −0.575751 + 0.513313i
\(505\) 0.780869 + 0.780869i 0.0347482 + 0.0347482i
\(506\) −0.286879 + 0.496889i −0.0127533 + 0.0220894i
\(507\) −17.6727 13.9526i −0.784874 0.619655i
\(508\) 14.8218 + 25.6722i 0.657613 + 1.13902i
\(509\) −13.1548 + 3.52481i −0.583075 + 0.156234i −0.538286 0.842762i \(-0.680928\pi\)
−0.0447884 + 0.998996i \(0.514261\pi\)
\(510\) −1.40448 + 1.18200i −0.0621915 + 0.0523400i
\(511\) −1.80376 4.56714i −0.0797935 0.202038i
\(512\) 13.8367 + 13.8367i 0.611502 + 0.611502i
\(513\) 12.0762 + 11.9707i 0.533177 + 0.528520i
\(514\) 0.724444 2.70366i 0.0319539 0.119253i
\(515\) 10.0849 + 2.70225i 0.444395 + 0.119075i
\(516\) −3.13351 + 0.557247i −0.137945 + 0.0245314i
\(517\) 62.4376i 2.74600i
\(518\) −3.50643 + 8.08397i −0.154064 + 0.355189i
\(519\) −13.5706 16.1249i −0.595685 0.707805i
\(520\) 0.502456 + 4.93576i 0.0220341 + 0.216447i
\(521\) −6.18440 + 3.57056i −0.270943 + 0.156429i −0.629316 0.777149i \(-0.716665\pi\)
0.358373 + 0.933579i \(0.383332\pi\)
\(522\) 4.75018 10.2651i 0.207910 0.449290i
\(523\) −11.9815 + 20.7526i −0.523915 + 0.907448i 0.475697 + 0.879609i \(0.342196\pi\)
−0.999612 + 0.0278389i \(0.991137\pi\)
\(524\) −12.7358 −0.556364
\(525\) 15.3323 + 14.4813i 0.669156 + 0.632017i
\(526\) −1.00368 + 1.00368i −0.0437625 + 0.0437625i
\(527\) −3.50095 13.0657i −0.152504 0.569152i
\(528\) 7.32329 + 15.6451i 0.318705 + 0.680865i
\(529\) 11.4820 + 19.8875i 0.499219 + 0.864672i
\(530\) 2.56176 4.43709i 0.111276 0.192735i
\(531\) 8.57752 + 12.1740i 0.372233 + 0.528308i
\(532\) 14.0530 + 2.08741i 0.609276 + 0.0905008i
\(533\) 6.42225 + 1.03872i 0.278178 + 0.0449922i
\(534\) 7.02085 1.24855i 0.303822 0.0540302i
\(535\) 8.63136 + 2.31277i 0.373166 + 0.0999896i
\(536\) 15.9400 9.20299i 0.688505 0.397508i
\(537\) 9.07444 1.61375i 0.391591 0.0696386i
\(538\) −8.27000 + 8.27000i −0.356545 + 0.356545i
\(539\) −18.6822 + 30.0170i −0.804701 + 1.29292i
\(540\) −1.36906 + 5.20056i −0.0589151 + 0.223796i
\(541\) 5.78910 1.55118i 0.248893 0.0666906i −0.132216 0.991221i \(-0.542209\pi\)
0.381108 + 0.924530i \(0.375542\pi\)
\(542\) −7.60923 + 4.39319i −0.326844 + 0.188704i
\(543\) 18.0845 + 6.55230i 0.776082 + 0.281186i
\(544\) 15.0245 4.02579i 0.644169 0.172604i
\(545\) 1.46503 0.0627550
\(546\) 9.14353 + 3.79718i 0.391307 + 0.162504i
\(547\) −6.65319 −0.284470 −0.142235 0.989833i \(-0.545429\pi\)
−0.142235 + 0.989833i \(0.545429\pi\)
\(548\) −27.9895 + 7.49977i −1.19565 + 0.320374i
\(549\) 18.8653 6.92896i 0.805152 0.295721i
\(550\) −12.0627 + 6.96440i −0.514355 + 0.296963i
\(551\) −19.8885 + 5.32912i −0.847281 + 0.227028i
\(552\) 0.713736 + 0.0613923i 0.0303786 + 0.00261303i
\(553\) 2.91004 + 25.3399i 0.123747 + 1.07756i
\(554\) −4.91318 + 4.91318i −0.208741 + 0.208741i
\(555\) 1.06309 + 5.97795i 0.0451256 + 0.253750i
\(556\) 13.0989 7.56263i 0.555516 0.320727i
\(557\) −14.4605 3.87469i −0.612713 0.164176i −0.0609000 0.998144i \(-0.519397\pi\)
−0.551813 + 0.833968i \(0.686064\pi\)
\(558\) 6.65858 + 5.55411i 0.281880 + 0.235124i
\(559\) 2.36247 + 3.27413i 0.0999219 + 0.138481i
\(560\) 1.21034 + 3.06459i 0.0511461 + 0.129503i
\(561\) 24.4429 + 2.10247i 1.03198 + 0.0887661i
\(562\) −3.88835 + 6.73483i −0.164020 + 0.284091i
\(563\) −10.6637 18.4701i −0.449422 0.778421i 0.548927 0.835870i \(-0.315037\pi\)
−0.998348 + 0.0574493i \(0.981703\pi\)
\(564\) −31.8211 + 14.8951i −1.33991 + 0.627196i
\(565\) 0.405504 + 1.51336i 0.0170597 + 0.0636676i
\(566\) −1.47935 + 1.47935i −0.0621815 + 0.0621815i
\(567\) 17.3826 + 16.2741i 0.729999 + 0.683449i
\(568\) 18.4716 0.775052
\(569\) 18.5499 32.1294i 0.777654 1.34694i −0.155637 0.987814i \(-0.549743\pi\)
0.933291 0.359122i \(-0.116924\pi\)
\(570\) −1.94005 + 0.908117i −0.0812598 + 0.0380368i
\(571\) 14.6991 8.48652i 0.615138 0.355150i −0.159836 0.987144i \(-0.551096\pi\)
0.774974 + 0.631994i \(0.217763\pi\)
\(572\) 18.8821 23.1621i 0.789498 0.968457i
\(573\) −11.1797 + 9.40881i −0.467041 + 0.393059i
\(574\) −2.84190 + 0.326364i −0.118619 + 0.0136222i
\(575\) 0.872466i 0.0363844i
\(576\) 1.20207 1.44111i 0.0500862 0.0600462i
\(577\) 5.20910 + 1.39578i 0.216858 + 0.0581069i 0.365612 0.930767i \(-0.380860\pi\)
−0.148754 + 0.988874i \(0.547526\pi\)
\(578\) −1.41685 + 5.28775i −0.0589332 + 0.219942i
\(579\) −1.19370 0.833240i −0.0496085 0.0346283i
\(580\) −4.60465 4.60465i −0.191198 0.191198i
\(581\) 22.5285 + 3.34635i 0.934640 + 0.138830i
\(582\) 2.05274 + 2.43910i 0.0850886 + 0.101104i
\(583\) −66.1407 + 17.7223i −2.73927 + 0.733985i
\(584\) −2.02459 3.50669i −0.0837780 0.145108i
\(585\) 6.69721 1.29940i 0.276895 0.0537237i
\(586\) 4.90259 8.49154i 0.202524 0.350782i
\(587\) −7.92659 7.92659i −0.327165 0.327165i 0.524342 0.851508i \(-0.324311\pi\)
−0.851508 + 0.524342i \(0.824311\pi\)
\(588\) 19.7548 + 2.36049i 0.814676 + 0.0973448i
\(589\) 15.7844i 0.650385i
\(590\) −1.81214 + 0.485562i −0.0746047 + 0.0199903i
\(591\) 16.4489 7.69955i 0.676617 0.316717i
\(592\) 2.84052 10.6010i 0.116745 0.435696i
\(593\) 3.01511 + 11.2525i 0.123816 + 0.462087i 0.999795 0.0202627i \(-0.00645025\pi\)
−0.875979 + 0.482349i \(0.839784\pi\)
\(594\) −13.5848 + 7.92286i −0.557392 + 0.325079i
\(595\) 4.62874 + 0.687546i 0.189760 + 0.0281866i
\(596\) −17.7391 + 17.7391i −0.726622 + 0.726622i
\(597\) −0.0322679 0.181448i −0.00132064 0.00742618i
\(598\) −0.145528 0.382851i −0.00595109 0.0156560i
\(599\) 17.5234 10.1171i 0.715985 0.413374i −0.0972879 0.995256i \(-0.531017\pi\)
0.813273 + 0.581882i \(0.197683\pi\)
\(600\) 14.2604 + 9.95420i 0.582179 + 0.406378i
\(601\) −33.6018 −1.37065 −0.685323 0.728239i \(-0.740339\pi\)
−0.685323 + 0.728239i \(0.740339\pi\)
\(602\) −1.39034 1.10390i −0.0566661 0.0449917i
\(603\) −14.5775 20.6898i −0.593642 0.842554i
\(604\) 2.28124 + 8.51371i 0.0928224 + 0.346418i
\(605\) −8.84034 2.36876i −0.359411 0.0963039i
\(606\) 1.64585 0.770404i 0.0668580 0.0312955i
\(607\) −9.48921 + 16.4358i −0.385155 + 0.667108i −0.991791 0.127872i \(-0.959185\pi\)
0.606636 + 0.794980i \(0.292519\pi\)
\(608\) 18.1507 0.736108
\(609\) −27.6271 + 8.25434i −1.11951 + 0.334483i
\(610\) 2.53180i 0.102509i
\(611\) 34.5463 + 28.1626i 1.39760 + 1.13934i
\(612\) −4.75957 12.9588i −0.192394 0.523828i
\(613\) −35.1615 9.42150i −1.42016 0.380531i −0.534620 0.845093i \(-0.679545\pi\)
−0.885541 + 0.464562i \(0.846212\pi\)
\(614\) −0.897384 0.518105i −0.0362155 0.0209090i
\(615\) −1.50810 + 1.26920i −0.0608123 + 0.0511793i
\(616\) −11.6016 + 26.7470i −0.467440 + 1.07767i
\(617\) −0.570917 0.570917i −0.0229843 0.0229843i 0.695521 0.718506i \(-0.255174\pi\)
−0.718506 + 0.695521i \(0.755174\pi\)
\(618\) 9.83398 14.0882i 0.395581 0.566710i
\(619\) −5.28324 + 19.7173i −0.212351 + 0.792507i 0.774731 + 0.632291i \(0.217885\pi\)
−0.987082 + 0.160215i \(0.948781\pi\)
\(620\) 4.32325 2.49603i 0.173626 0.100243i
\(621\) −0.00432123 0.985053i −0.000173405 0.0395288i
\(622\) −12.3271 12.3271i −0.494273 0.494273i
\(623\) −14.2367 11.3036i −0.570381 0.452871i
\(624\) −11.9595 3.00482i −0.478764 0.120289i
\(625\) 9.59572 16.6203i 0.383829 0.664811i
\(626\) −1.20042 + 4.48001i −0.0479782 + 0.179057i
\(627\) 26.9158 + 9.75202i 1.07492 + 0.389458i
\(628\) −12.5637 7.25366i −0.501347 0.289453i
\(629\) −11.0215 11.0215i −0.439456 0.439456i
\(630\) −2.67940 + 1.34870i −0.106750 + 0.0537334i
\(631\) 11.9196 + 11.9196i 0.474513 + 0.474513i 0.903371 0.428859i \(-0.141084\pi\)
−0.428859 + 0.903371i \(0.641084\pi\)
\(632\) 5.44370 + 20.3161i 0.216539 + 0.808133i
\(633\) −11.3793 + 31.4071i −0.452285 + 1.24832i
\(634\) −1.20044 + 0.693076i −0.0476757 + 0.0275256i
\(635\) 2.94890 + 11.0054i 0.117024 + 0.436738i
\(636\) 24.8106 + 29.4805i 0.983805 + 1.16898i
\(637\) −8.18153 23.8760i −0.324164 0.946001i
\(638\) 19.0432i 0.753927i
\(639\) −2.28773 25.2966i −0.0905011 1.00072i
\(640\) 3.61647 + 6.26390i 0.142953 + 0.247603i
\(641\) 0.831244 + 1.43976i 0.0328322 + 0.0568670i 0.881975 0.471297i \(-0.156214\pi\)
−0.849142 + 0.528164i \(0.822881\pi\)
\(642\) 8.41659 12.0576i 0.332176 0.475876i
\(643\) 19.7206 19.7206i 0.777706 0.777706i −0.201734 0.979440i \(-0.564658\pi\)
0.979440 + 0.201734i \(0.0646577\pi\)
\(644\) −0.490157 0.661174i −0.0193149 0.0260539i
\(645\) −1.21877 0.104833i −0.0479891 0.00412780i
\(646\) 2.74946 4.76220i 0.108176 0.187366i
\(647\) 7.28323 + 12.6149i 0.286333 + 0.495944i 0.972932 0.231093i \(-0.0742301\pi\)
−0.686598 + 0.727037i \(0.740897\pi\)
\(648\) 16.1499 + 11.1681i 0.634429 + 0.438724i
\(649\) 21.7138 + 12.5365i 0.852342 + 0.492100i
\(650\) 1.58755 9.81552i 0.0622687 0.384996i
\(651\) −0.630653 22.0950i −0.0247172 0.865973i
\(652\) −18.8776 + 18.8776i −0.739305 + 0.739305i
\(653\) 2.58378 + 1.49174i 0.101111 + 0.0583765i 0.549703 0.835360i \(-0.314741\pi\)
−0.448592 + 0.893737i \(0.648074\pi\)
\(654\) 0.821235 2.26663i 0.0321128 0.0886324i
\(655\) −4.72825 1.26693i −0.184748 0.0495031i
\(656\) 3.44144 0.922131i 0.134366 0.0360032i
\(657\) −4.55160 + 3.20694i −0.177575 + 0.125115i
\(658\) −17.9796 7.79866i −0.700916 0.304023i
\(659\) 23.3405i 0.909217i 0.890691 + 0.454609i \(0.150221\pi\)
−0.890691 + 0.454609i \(0.849779\pi\)
\(660\) 1.58526 + 8.91420i 0.0617061 + 0.346985i
\(661\) −3.28717 + 12.2679i −0.127856 + 0.477165i −0.999925 0.0122171i \(-0.996111\pi\)
0.872069 + 0.489382i \(0.162778\pi\)
\(662\) −6.35500 11.0072i −0.246994 0.427806i
\(663\) −12.1883 + 12.5758i −0.473354 + 0.488403i
\(664\) 18.7810 0.728844
\(665\) 5.00964 + 2.17294i 0.194266 + 0.0842629i
\(666\) 9.84475 + 1.70622i 0.381476 + 0.0661148i
\(667\) 1.03301 + 0.596410i 0.0399984 + 0.0230931i
\(668\) 0.0205455 0.0766769i 0.000794929 0.00296672i
\(669\) 20.3417 + 43.4568i 0.786454 + 1.68014i
\(670\) 3.07974 0.825213i 0.118981 0.0318808i
\(671\) 23.9260 23.9260i 0.923655 0.923655i
\(672\) 25.4074 0.725196i 0.980111 0.0279751i
\(673\) 22.2908i 0.859249i 0.903008 + 0.429624i \(0.141354\pi\)
−0.903008 + 0.429624i \(0.858646\pi\)
\(674\) 2.17438 + 8.11491i 0.0837541 + 0.312575i
\(675\) 11.8659 20.7622i 0.456720 0.799138i
\(676\) 4.29866 + 20.8946i 0.165333 + 0.803640i
\(677\) −13.4234 7.75003i −0.515905 0.297858i 0.219353 0.975646i \(-0.429605\pi\)
−0.735258 + 0.677788i \(0.762939\pi\)
\(678\) 2.56872 + 0.220949i 0.0986510 + 0.00848550i
\(679\) 1.19403 8.03853i 0.0458227 0.308491i
\(680\) 3.85877 0.147977
\(681\) −34.4805 24.0684i −1.32130 0.922305i
\(682\) 14.1011 + 3.77837i 0.539958 + 0.144681i
\(683\) −1.28580 0.344528i −0.0491996 0.0131830i 0.234135 0.972204i \(-0.424774\pi\)
−0.283335 + 0.959021i \(0.591441\pi\)
\(684\) −1.45096 16.0440i −0.0554788 0.613457i
\(685\) −11.1374 −0.425538
\(686\) 6.31023 + 9.12896i 0.240926 + 0.348545i
\(687\) −2.05004 + 23.8334i −0.0782139 + 0.909302i
\(688\) 1.91488 + 1.10556i 0.0730042 + 0.0421490i
\(689\) 20.0272 44.5889i 0.762977 1.69870i
\(690\) 0.116672 + 0.0422720i 0.00444162 + 0.00160927i
\(691\) 0.779781 + 2.91018i 0.0296643 + 0.110709i 0.979171 0.203039i \(-0.0650820\pi\)
−0.949506 + 0.313748i \(0.898415\pi\)
\(692\) 19.9668i 0.759026i
\(693\) 38.0665 + 12.5755i 1.44603 + 0.477703i
\(694\) 7.74218 7.74218i 0.293889 0.293889i
\(695\) 5.61537 1.50463i 0.213003 0.0570740i
\(696\) −21.5342 + 10.0799i −0.816251 + 0.382078i
\(697\) 1.30963 4.88759i 0.0496056 0.185131i
\(698\) 0.729159 + 0.420980i 0.0275991 + 0.0159343i
\(699\) 19.7091 + 23.4188i 0.745467 + 0.885780i
\(700\) −2.27959 19.8502i −0.0861605 0.750265i
\(701\) 3.87616 0.146401 0.0732003 0.997317i \(-0.476679\pi\)
0.0732003 + 0.997317i \(0.476679\pi\)
\(702\) 1.74380 11.0900i 0.0658153 0.418566i
\(703\) −9.09419 15.7516i −0.342994 0.594083i
\(704\) 0.817748 3.05188i 0.0308200 0.115022i
\(705\) −13.2956 + 2.36442i −0.500739 + 0.0890491i
\(706\) 18.8844i 0.710724i
\(707\) −4.24994 1.84342i −0.159836 0.0693289i
\(708\) 1.20912 14.0571i 0.0454416 0.528296i
\(709\) 13.8220 3.70360i 0.519098 0.139092i 0.0102484 0.999947i \(-0.496738\pi\)
0.508849 + 0.860856i \(0.330071\pi\)
\(710\) 3.09072 + 0.828157i 0.115993 + 0.0310802i
\(711\) 27.1484 9.97122i 1.01814 0.373950i
\(712\) −12.9818 7.49504i −0.486513 0.280888i
\(713\) −0.646590 + 0.646590i −0.0242150 + 0.0242150i
\(714\) 3.65842 6.77598i 0.136913 0.253585i
\(715\) 9.31424 6.72076i 0.348333 0.251342i
\(716\) −7.56213 4.36600i −0.282610 0.163165i
\(717\) −22.6342 + 10.5948i −0.845288 + 0.395670i
\(718\) −7.13629 12.3604i −0.266324 0.461287i
\(719\) −16.8158 + 29.1257i −0.627122 + 1.08621i 0.361005 + 0.932564i \(0.382434\pi\)
−0.988126 + 0.153643i \(0.950899\pi\)
\(720\) 3.05416 2.15189i 0.113822 0.0801961i
\(721\) −43.5119 + 4.99691i −1.62047 + 0.186094i
\(722\) −3.51314 + 3.51314i −0.130745 + 0.130745i
\(723\) 24.0114 + 16.7607i 0.892994 + 0.623337i
\(724\) −9.11158 15.7817i −0.338629 0.586523i
\(725\) 14.4787 + 25.0778i 0.537726 + 0.931368i
\(726\) −8.62037 + 12.3496i −0.319932 + 0.458335i
\(727\) 45.9430i 1.70393i 0.523599 + 0.851965i \(0.324589\pi\)
−0.523599 + 0.851965i \(0.675411\pi\)
\(728\) −9.56606 18.4834i −0.354542 0.685040i
\(729\) 13.2943 23.5002i 0.492383 0.870379i
\(730\) −0.181541 0.677519i −0.00671912 0.0250761i
\(731\) 2.71955 1.57013i 0.100586 0.0580734i
\(732\) −17.9016 6.48602i −0.661662 0.239730i
\(733\) −4.49530 16.7767i −0.166038 0.619661i −0.997906 0.0646871i \(-0.979395\pi\)
0.831868 0.554973i \(-0.187272\pi\)
\(734\) −7.18014 7.18014i −0.265024 0.265024i
\(735\) 7.09932 + 2.84153i 0.261862 + 0.104811i
\(736\) −0.743522 0.743522i −0.0274066 0.0274066i
\(737\) −36.9027 21.3058i −1.35933 0.784808i
\(738\) 1.11828 + 3.04472i 0.0411646 + 0.112078i
\(739\) 0.0462618 0.172651i 0.00170177 0.00635108i −0.965070 0.261993i \(-0.915620\pi\)
0.966771 + 0.255642i \(0.0822869\pi\)
\(740\) 2.87618 4.98169i 0.105730 0.183130i
\(741\) −17.5362 + 10.4937i −0.644208 + 0.385496i
\(742\) −3.15785 + 21.2595i −0.115928 + 0.780460i
\(743\) 11.8499 + 11.8499i 0.434731 + 0.434731i 0.890234 0.455503i \(-0.150541\pi\)
−0.455503 + 0.890234i \(0.650541\pi\)
\(744\) −3.19135 17.9456i −0.117001 0.657917i
\(745\) −8.35043 + 4.82112i −0.305936 + 0.176632i
\(746\) −4.16031 + 15.5265i −0.152320 + 0.568465i
\(747\) −2.32604 25.7202i −0.0851055 0.941054i
\(748\) −16.4350 16.4350i −0.600925 0.600925i
\(749\) −37.2404 + 4.27669i −1.36073 + 0.156267i
\(750\) 4.04727 + 4.80905i 0.147786 + 0.175602i
\(751\) −8.35311 4.82267i −0.304809 0.175982i 0.339792 0.940501i \(-0.389643\pi\)
−0.644601 + 0.764519i \(0.722977\pi\)
\(752\) 23.5776 + 6.31759i 0.859786 + 0.230379i
\(753\) 14.5624 40.1926i 0.530683 1.46470i
\(754\) 10.5365 + 8.58948i 0.383716 + 0.312810i
\(755\) 3.38771i 0.123292i
\(756\) −2.67208 22.4004i −0.0971825 0.814695i
\(757\) −16.1069 −0.585414 −0.292707 0.956202i \(-0.594556\pi\)
−0.292707 + 0.956202i \(0.594556\pi\)
\(758\) −0.256159 + 0.443680i −0.00930410 + 0.0161152i
\(759\) −0.703096 1.50206i −0.0255208 0.0545212i
\(760\) 4.34942 + 1.16542i 0.157770 + 0.0422743i
\(761\) −4.47507 16.7012i −0.162221 0.605417i −0.998378 0.0569274i \(-0.981870\pi\)
0.836157 0.548490i \(-0.184797\pi\)
\(762\) 18.6802 + 1.60678i 0.676712 + 0.0582076i
\(763\) −5.71605 + 2.25751i −0.206935 + 0.0817273i
\(764\) 13.8434 0.500838
\(765\) −0.477913 5.28452i −0.0172790 0.191062i
\(766\) 16.6325 9.60278i 0.600957 0.346963i
\(767\) −16.7304 + 6.35951i −0.604101 + 0.229629i
\(768\) 9.58500 1.70455i 0.345869 0.0615076i
\(769\) −15.1816 + 15.1816i −0.547462 + 0.547462i −0.925706 0.378244i \(-0.876528\pi\)
0.378244 + 0.925706i \(0.376528\pi\)
\(770\) −3.14038 + 3.95525i −0.113172 + 0.142537i
\(771\) 5.20967 + 6.19024i 0.187622 + 0.222936i
\(772\) 0.356957 + 1.33218i 0.0128472 + 0.0479463i