Properties

Label 273.2.cd.e.242.16
Level $273$
Weight $2$
Character 273.242
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 242.16
Character \(\chi\) \(=\) 273.242
Dual form 273.2.cd.e.44.16

$q$-expansion

\(f(q)\) \(=\) \(q+(0.578797 + 0.155088i) q^{2} +(-1.70530 + 0.303261i) q^{3} +(-1.42110 - 0.820471i) q^{4} +(0.609213 + 0.163238i) q^{5} +(-1.03405 - 0.0889444i) q^{6} +(2.12540 + 1.57565i) q^{7} +(-1.54270 - 1.54270i) q^{8} +(2.81607 - 1.03430i) q^{9} +O(q^{10})\) \(q+(0.578797 + 0.155088i) q^{2} +(-1.70530 + 0.303261i) q^{3} +(-1.42110 - 0.820471i) q^{4} +(0.609213 + 0.163238i) q^{5} +(-1.03405 - 0.0889444i) q^{6} +(2.12540 + 1.57565i) q^{7} +(-1.54270 - 1.54270i) q^{8} +(2.81607 - 1.03430i) q^{9} +(0.327294 + 0.188963i) q^{10} +(4.87875 - 1.30726i) q^{11} +(2.67221 + 0.968182i) q^{12} +(2.92387 + 2.10974i) q^{13} +(0.985809 + 1.24161i) q^{14} +(-1.08839 - 0.0936184i) q^{15} +(0.987288 + 1.71003i) q^{16} +(1.40216 - 2.42862i) q^{17} +(1.79034 - 0.161911i) q^{18} +(-0.846959 + 3.16090i) q^{19} +(-0.731818 - 0.731818i) q^{20} +(-4.10227 - 2.04240i) q^{21} +3.02654 q^{22} +(0.0947877 + 0.164177i) q^{23} +(3.09860 + 2.16292i) 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} +(-0.615438 - 0.222983i) q^{30} +(4.65914 - 1.24841i) q^{31} +(1.43557 + 5.35761i) q^{32} +(-7.92327 + 3.70879i) 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} +(-5.62586 - 2.71103i) q^{39} +(-0.688004 - 1.19166i) q^{40} +(-1.27587 + 1.27587i) q^{41} +(-2.05763 - 1.81835i) q^{42} -1.11979i q^{43} +(-8.00574 - 2.14513i) q^{44} +(1.88442 - 0.170420i) 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} +(-1.65459 + 4.56673i) q^{51} +(-2.42412 - 5.39709i) q^{52} +(-11.7406 - 6.77845i) q^{53} +(-3.00395 + 0.819047i) q^{54} +3.18559 q^{55} +(-0.848096 - 5.70961i) q^{56} +(0.485739 - 5.64711i) q^{57} +(0.975824 - 3.64182i) q^{58} +(4.79496 - 1.28481i) q^{59} +(1.46990 + 1.02603i) q^{60} +(-3.34959 - 5.80165i) q^{61} +2.89031 q^{62} +(7.61496 + 2.23884i) q^{63} -0.625545i q^{64} +(1.43687 + 1.76257i) q^{65} +(-5.16115 + 0.917833i) 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} +(-5.93995 - 2.74873i) q^{72} +(0.480360 + 1.79273i) q^{73} +(2.88430 + 1.66525i) q^{74} +(7.49452 + 2.71538i) q^{75} +(3.79704 - 3.79704i) q^{76} +(12.4291 + 4.90876i) q^{77} +(-2.83578 - 2.44164i) q^{78} +(-4.82027 - 8.34896i) q^{79} +(0.322326 + 1.20294i) q^{80} +(6.86045 - 5.82531i) q^{81} +(-0.936345 + 0.540599i) q^{82} +(-6.08706 + 6.08706i) q^{83} +(4.15399 + 6.26824i) q^{84} +(1.25066 - 1.25066i) q^{85} +(0.173667 - 0.648132i) q^{86} +(1.90814 + 10.7298i) 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} +(-7.56661 + 3.54185i) q^{93} +(-3.70368 + 6.41497i) q^{94} +(-1.03196 + 1.78740i) q^{95} +(-4.07282 - 8.70095i) q^{96} +(2.17196 + 2.17196i) q^{97} +(0.138901 + 4.19220i) q^{98} +(12.3868 - 8.72741i) 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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{2}{3}\right)\)

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 \(-0.348716\pi\)
−0.0483087 + 0.998832i \(0.515383\pi\)
\(3\) −1.70530 + 0.303261i −0.984553 + 0.175088i
\(4\) −1.42110 0.820471i −0.710549 0.410236i
\(5\) 0.609213 + 0.163238i 0.272448 + 0.0730023i 0.392456 0.919771i \(-0.371625\pi\)
−0.120008 + 0.992773i \(0.538292\pi\)
\(6\) −1.03405 0.0889444i −0.422150 0.0363114i
\(7\) 2.12540 + 1.57565i 0.803325 + 0.595540i
\(8\) −1.54270 1.54270i −0.545426 0.545426i
\(9\) 2.81607 1.03430i 0.938688 0.344767i
\(10\) 0.327294 + 0.188963i 0.103499 + 0.0597554i
\(11\) 4.87875 1.30726i 1.47100 0.394153i 0.567725 0.823219i \(-0.307824\pi\)
0.903273 + 0.429066i \(0.141157\pi\)
\(12\) 2.67221 + 0.968182i 0.771400 + 0.279490i
\(13\) 2.92387 + 2.10974i 0.810935 + 0.585136i
\(14\) 0.985809 + 1.24161i 0.263469 + 0.331833i
\(15\) −1.08839 0.0936184i −0.281021 0.0241722i
\(16\) 0.987288 + 1.71003i 0.246822 + 0.427508i
\(17\) 1.40216 2.42862i 0.340074 0.589026i −0.644372 0.764712i \(-0.722881\pi\)
0.984446 + 0.175686i \(0.0562145\pi\)
\(18\) 1.79034 0.161911i 0.421986 0.0381629i
\(19\) −0.846959 + 3.16090i −0.194306 + 0.725159i 0.798140 + 0.602473i \(0.205818\pi\)
−0.992445 + 0.122687i \(0.960849\pi\)
\(20\) −0.731818 0.731818i −0.163640 0.163640i
\(21\) −4.10227 2.04240i −0.895188 0.445688i
\(22\) 3.02654 0.645261
\(23\) 0.0947877 + 0.164177i 0.0197646 + 0.0342333i 0.875739 0.482786i \(-0.160375\pi\)
−0.855974 + 0.517019i \(0.827042\pi\)
\(24\) 3.09860 + 2.16292i 0.632499 + 0.441503i
\(25\) −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 \(-0.198593\pi\)
\(30\) −0.615438 0.222983i −0.112363 0.0407109i
\(31\) 4.65914 1.24841i 0.836806 0.224221i 0.185125 0.982715i \(-0.440731\pi\)
0.651681 + 0.758493i \(0.274064\pi\)
\(32\) 1.43557 + 5.35761i 0.253775 + 0.947100i
\(33\) −7.92327 + 3.70879i −1.37926 + 0.645618i
\(34\) 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 0.671534 0.740974i \(-0.265636\pi\)
0.211079 + 0.977469i \(0.432302\pi\)
\(38\) −0.980435 + 1.69816i −0.159047 + 0.275478i
\(39\) −5.62586 2.71103i −0.900859 0.434113i
\(40\) −0.688004 1.19166i −0.108783 0.188418i
\(41\) −1.27587 + 1.27587i −0.199258 + 0.199258i −0.799682 0.600424i \(-0.794999\pi\)
0.600424 + 0.799682i \(0.294999\pi\)
\(42\) −2.05763 1.81835i −0.317499 0.280577i
\(43\) 1.11979i 0.170767i −0.996348 0.0853834i \(-0.972788\pi\)
0.996348 0.0853834i \(-0.0272115\pi\)
\(44\) −8.00574 2.14513i −1.20691 0.323391i
\(45\) 1.88442 0.170420i 0.280913 0.0254047i
\(46\) 0.0294009 + 0.109726i 0.00433492 + 0.0161782i
\(47\) −3.19947 + 11.9406i −0.466691 + 1.74171i 0.184533 + 0.982826i \(0.440923\pi\)
−0.651223 + 0.758886i \(0.725744\pi\)
\(48\) −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
\(51\) −1.65459 + 4.56673i −0.231690 + 0.639470i
\(52\) −2.42412 5.39709i −0.336165 0.748442i
\(53\) −11.7406 6.77845i −1.61270 0.931092i −0.988742 0.149633i \(-0.952191\pi\)
−0.623956 0.781459i \(-0.714476\pi\)
\(54\) −3.00395 + 0.819047i −0.408786 + 0.111458i
\(55\) 3.18559 0.429545
\(56\) −0.848096 5.70961i −0.113332 0.762978i
\(57\) 0.485739 5.64711i 0.0643376 0.747978i
\(58\) 0.975824 3.64182i 0.128132 0.478195i
\(59\) 4.79496 1.28481i 0.624250 0.167267i 0.0671912 0.997740i \(-0.478596\pi\)
0.557059 + 0.830473i \(0.311930\pi\)
\(60\) 1.46990 + 1.02603i 0.189763 + 0.132460i
\(61\) −3.34959 5.80165i −0.428871 0.742826i 0.567902 0.823096i \(-0.307755\pi\)
−0.996773 + 0.0802700i \(0.974422\pi\)
\(62\) 2.89031 0.367069
\(63\) 7.61496 + 2.23884i 0.959395 + 0.282067i
\(64\) 0.625545i 0.0781932i
\(65\) 1.43687 + 1.76257i 0.178221 + 0.218619i
\(66\) −5.16115 + 0.917833i −0.635294 + 0.112977i
\(67\) 8.14904 2.18353i 0.995564 0.266761i 0.275978 0.961164i \(-0.410998\pi\)
0.719586 + 0.694403i \(0.244332\pi\)
\(68\) −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 \(-0.917550\pi\)
0.256139 + 0.966640i \(0.417550\pi\)
\(72\) −5.93995 2.74873i −0.700030 0.323940i
\(73\) 0.480360 + 1.79273i 0.0562219 + 0.209823i 0.988323 0.152376i \(-0.0486926\pi\)
−0.932101 + 0.362199i \(0.882026\pi\)
\(74\) 2.88430 + 1.66525i 0.335293 + 0.193582i
\(75\) 7.49452 + 2.71538i 0.865393 + 0.313545i
\(76\) 3.79704 3.79704i 0.435550 0.435550i
\(77\) 12.4291 + 4.90876i 1.41642 + 0.559405i
\(78\) −2.83578 2.44164i −0.321089 0.276461i
\(79\) −4.82027 8.34896i −0.542323 0.939331i −0.998770 0.0495804i \(-0.984212\pi\)
0.456447 0.889751i \(-0.349122\pi\)
\(80\) 0.322326 + 1.20294i 0.0360371 + 0.134492i
\(81\) 6.86045 5.82531i 0.762272 0.647257i
\(82\) −0.936345 + 0.540599i −0.103402 + 0.0596992i
\(83\) −6.08706 + 6.08706i −0.668141 + 0.668141i −0.957286 0.289144i \(-0.906629\pi\)
0.289144 + 0.957286i \(0.406629\pi\)
\(84\) 4.15399 + 6.26824i 0.453238 + 0.683921i
\(85\) 1.25066 1.25066i 0.135653 0.135653i
\(86\) 0.173667 0.648132i 0.0187269 0.0698899i
\(87\) 1.90814 + 10.7298i 0.204574 + 1.15036i
\(88\) −9.54314 5.50973i −1.01730 0.587340i
\(89\) 1.77830 6.63669i 0.188499 0.703488i −0.805355 0.592792i \(-0.798026\pi\)
0.993854 0.110695i \(-0.0353078\pi\)
\(90\) 1.11713 + 0.193613i 0.117755 + 0.0204086i
\(91\) 2.89017 + 9.09103i 0.302972 + 0.952999i
\(92\) 0.311082i 0.0324326i
\(93\) −7.56661 + 3.54185i −0.784621 + 0.367273i
\(94\) −3.70368 + 6.41497i −0.382006 + 0.661654i
\(95\) −1.03196 + 1.78740i −0.105877 + 0.183384i
\(96\) −4.07282 8.70095i −0.415681 0.888037i
\(97\) 2.17196 + 2.17196i 0.220529 + 0.220529i 0.808721 0.588192i \(-0.200160\pi\)
−0.588192 + 0.808721i \(0.700160\pi\)
\(98\) 0.138901 + 4.19220i 0.0140311 + 0.423476i
\(99\) 12.3868 8.72741i 1.24492 0.877138i
\(100\) 3.77598 + 6.54019i 0.377598 + 0.654019i
\(101\) 0.875463 1.51635i 0.0871119 0.150882i −0.819177 0.573540i \(-0.805570\pi\)
0.906289 + 0.422658i \(0.138903\pi\)
\(102\) −1.66592 + 2.38660i −0.164951 + 0.236309i
\(103\) −14.3362 + 8.27701i −1.41259 + 0.815558i −0.995632 0.0933679i \(-0.970237\pi\)
−0.416957 + 0.908926i \(0.636903\pi\)
\(104\) −1.25595 7.76534i −0.123156 0.761454i
\(105\) −2.16576 1.91390i −0.211356 0.186778i
\(106\) −5.74417 5.74417i −0.557924 0.557924i
\(107\) 12.2699 7.08403i 1.18618 0.684839i 0.228741 0.973487i \(-0.426539\pi\)
0.957435 + 0.288649i \(0.0932059\pi\)
\(108\) 8.52650 0.0374041i 0.820463 0.00359921i
\(109\) −2.24370 + 0.601199i −0.214908 + 0.0575844i −0.364667 0.931138i \(-0.618817\pi\)
0.149759 + 0.988723i \(0.452150\pi\)
\(110\) 1.84381 + 0.494047i 0.175800 + 0.0471055i
\(111\) −9.59152 0.825018i −0.910387 0.0783073i
\(112\) −0.596034 + 5.19012i −0.0563199 + 0.490420i
\(113\) 2.48413i 0.233687i −0.993150 0.116844i \(-0.962722\pi\)
0.993150 0.116844i \(-0.0372776\pi\)
\(114\) 1.15694 3.19320i 0.108358 0.299070i
\(115\) 0.0309459 + 0.115492i 0.00288572 + 0.0107697i
\(116\) −5.16245 + 8.94163i −0.479322 + 0.830210i
\(117\) 10.4159 + 2.91701i 0.962951 + 0.269677i
\(118\) 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
\(123\) 1.78882 2.56267i 0.161292 0.231068i
\(124\) −7.64538 2.04857i −0.686575 0.183967i
\(125\) −4.28234 4.28234i −0.383024 0.383024i
\(126\) 4.06030 + 2.47682i 0.361720 + 0.220653i
\(127\) 18.0650i 1.60301i 0.597986 + 0.801506i \(0.295968\pi\)
−0.597986 + 0.801506i \(0.704032\pi\)
\(128\) 2.96815 11.0773i 0.262350 0.979102i
\(129\) 0.339590 + 1.90958i 0.0298992 + 0.168129i
\(130\) 0.558301 + 1.24301i 0.0489662 + 0.109019i
\(131\) −6.72144 + 3.88062i −0.587255 + 0.339052i −0.764011 0.645203i \(-0.776773\pi\)
0.176756 + 0.984255i \(0.443439\pi\)
\(132\) 14.3027 + 1.23025i 1.24489 + 0.107080i
\(133\) −6.78060 + 5.38365i −0.587952 + 0.466822i
\(134\) 5.05528 0.436709
\(135\) −3.16181 + 0.862088i −0.272125 + 0.0741967i
\(136\) −5.90973 + 1.58351i −0.506755 + 0.135785i
\(137\) −17.0570 + 4.57040i −1.45728 + 0.390476i −0.898548 0.438875i \(-0.855377\pi\)
−0.558728 + 0.829351i \(0.688710\pi\)
\(138\) −0.0834127 0.178198i −0.00710056 0.0151693i
\(139\) −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
\(141\) 1.83492 21.3325i 0.154528 1.79652i
\(142\) −4.39361 + 2.53665i −0.368704 + 0.212871i
\(143\) 17.0228 + 6.47064i 1.42352 + 0.541102i
\(144\) 4.54895 + 3.79441i 0.379079 + 0.316201i
\(145\) 1.02710 3.83320i 0.0852963 0.318330i
\(146\) 1.11212i 0.0920400i
\(147\) −5.50085 10.8047i −0.453702 0.891153i
\(148\) −6.44920 6.44920i −0.530121 0.530121i
\(149\) −14.7672 3.95685i −1.20977 0.324158i −0.403100 0.915156i \(-0.632067\pi\)
−0.806673 + 0.590998i \(0.798734\pi\)
\(150\) 3.91668 + 2.73396i 0.319796 + 0.223227i
\(151\) 1.39020 + 5.18831i 0.113133 + 0.422218i 0.999140 0.0414528i \(-0.0131986\pi\)
−0.886007 + 0.463671i \(0.846532\pi\)
\(152\) 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
\(156\) 5.77057 + 8.46850i 0.462015 + 0.678022i
\(157\) 4.42043 7.65640i 0.352788 0.611047i −0.633949 0.773375i \(-0.718567\pi\)
0.986737 + 0.162328i \(0.0519002\pi\)
\(158\) −1.49513 5.57991i −0.118946 0.443914i
\(159\) 22.0769 + 7.99878i 1.75081 + 0.634345i
\(160\) 3.49826i 0.276562i
\(161\) −0.0572242 + 0.498294i −0.00450990 + 0.0392711i
\(162\) 4.87424 2.30770i 0.382956 0.181310i
\(163\) 15.7150 + 4.21081i 1.23089 + 0.329816i 0.814926 0.579565i \(-0.196778\pi\)
0.415964 + 0.909381i \(0.363444\pi\)
\(164\) 2.85996 0.766324i 0.223325 0.0598398i
\(165\) −5.43237 + 0.966066i −0.422909 + 0.0752081i
\(166\) −4.46720 + 2.57914i −0.346722 + 0.200180i
\(167\) 0.0342068 + 0.0342068i 0.00264700 + 0.00264700i 0.708429 0.705782i \(-0.249404\pi\)
−0.705782 + 0.708429i \(0.749404\pi\)
\(168\) 3.17776 + 9.47937i 0.245169 + 0.731349i
\(169\) 4.09800 + 12.3372i 0.315231 + 0.949015i
\(170\) 0.917838 0.529914i 0.0703950 0.0406425i
\(171\) 0.884223 + 9.77730i 0.0676182 + 0.747689i
\(172\) −0.918757 + 1.59133i −0.0700546 + 0.121338i
\(173\) −6.08396 10.5377i −0.462555 0.801168i 0.536533 0.843880i \(-0.319734\pi\)
−0.999087 + 0.0427112i \(0.986400\pi\)
\(174\) −0.559643 + 6.50632i −0.0424265 + 0.493242i
\(175\) −4.84532 11.1707i −0.366272 0.844429i
\(176\) 7.05218 + 7.05218i 0.531578 + 0.531578i
\(177\) −7.78719 + 3.64510i −0.585321 + 0.273982i
\(178\) 2.05854 3.56550i 0.154294 0.267246i
\(179\) −2.66066 + 4.60841i −0.198867 + 0.344448i −0.948161 0.317789i \(-0.897060\pi\)
0.749294 + 0.662237i \(0.230393\pi\)
\(180\) −2.81777 1.30393i −0.210024 0.0971891i
\(181\) 11.1053i 0.825450i −0.910856 0.412725i \(-0.864577\pi\)
0.910856 0.412725i \(-0.135423\pi\)
\(182\) 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
\(186\) −4.92883 + 0.876519i −0.361399 + 0.0642695i
\(187\) 3.66597 13.6816i 0.268082 1.00050i
\(188\) 14.3437 14.3437i 1.04612 1.04612i
\(189\) −13.6647 1.50855i −0.993961 0.109731i
\(190\) −0.874498 + 0.874498i −0.0634427 + 0.0634427i
\(191\) 7.30603 4.21814i 0.528646 0.305214i −0.211819 0.977309i \(-0.567939\pi\)
0.740465 + 0.672095i \(0.234605\pi\)
\(192\) 0.189704 + 1.06674i 0.0136907 + 0.0769853i
\(193\) 0.217532 + 0.811840i 0.0156583 + 0.0584375i 0.973313 0.229482i \(-0.0737032\pi\)
−0.957655 + 0.287919i \(0.907036\pi\)
\(194\) 0.920278 + 1.59397i 0.0660721 + 0.114440i
\(195\) −2.98480 2.56995i −0.213746 0.184038i
\(196\) 2.60390 11.1876i 0.185993 0.799112i
\(197\) −7.41450 + 7.41450i −0.528261 + 0.528261i −0.920054 0.391792i \(-0.871855\pi\)
0.391792 + 0.920054i \(0.371855\pi\)
\(198\) 8.52294 3.13035i 0.605699 0.222465i
\(199\) 0.0921476 + 0.0532014i 0.00653217 + 0.00377135i 0.503263 0.864134i \(-0.332133\pi\)
−0.496730 + 0.867905i \(0.665466\pi\)
\(200\) 2.59872 + 9.69854i 0.183757 + 0.685791i
\(201\) −13.2343 + 6.19485i −0.933479 + 0.436951i
\(202\) 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
\(207\) 0.436737 + 0.364294i 0.0303553 + 0.0253202i
\(208\) −0.721025 + 7.08283i −0.0499941 + 0.491106i
\(209\) 16.5284i 1.14329i
\(210\) −0.956709 1.44364i −0.0660192 0.0996208i
\(211\) −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
\(213\) 8.39368 12.0248i 0.575126 0.823926i
\(214\) 8.20042 2.19730i 0.560569 0.150204i
\(215\) 0.182793 0.682192i 0.0124664 0.0465251i
\(216\) 10.9630 + 2.88603i 0.745935 + 0.196370i
\(217\) 11.8696 + 4.68780i 0.805760 + 0.318229i
\(218\) −1.39189 −0.0942705
\(219\) −1.36282 2.91146i −0.0920909 0.196738i
\(220\) −4.52703 2.61368i −0.305212 0.176214i
\(221\) 9.22348 4.14275i 0.620438 0.278672i
\(222\) −5.42359 1.96505i −0.364007 0.131885i
\(223\) −19.5886 19.5886i −1.31175 1.31175i −0.920125 0.391624i \(-0.871913\pi\)
−0.391624 0.920125i \(-0.628087\pi\)
\(224\) −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 −0.780695 0.624913i \(-0.785134\pi\)
0.363645 0.931538i \(-0.381532\pi\)
\(228\) −5.32357 + 7.62656i −0.352562 + 0.505081i
\(229\) −13.3404 3.57456i −0.881561 0.236214i −0.210481 0.977598i \(-0.567503\pi\)
−0.671081 + 0.741384i \(0.734170\pi\)
\(230\) 0.0716456i 0.00472417i
\(231\) −22.6839 4.60163i −1.49249 0.302765i
\(232\) −9.70675 + 9.70675i −0.637279 + 0.637279i
\(233\) 8.83595 + 15.3043i 0.578863 + 1.00262i 0.995610 + 0.0935972i \(0.0298366\pi\)
−0.416748 + 0.909022i \(0.636830\pi\)
\(234\) 5.57630 + 3.30374i 0.364534 + 0.215972i
\(235\) −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 \(-0.595459\pi\)
0.955368 + 0.295418i \(0.0954590\pi\)
\(240\) −0.914465 1.95361i −0.0590284 0.126105i
\(241\) −4.37567 16.3302i −0.281862 1.05192i −0.951102 0.308877i \(-0.900047\pi\)
0.669240 0.743046i \(-0.266620\pi\)
\(242\) 8.39897 2.25050i 0.539906 0.144668i
\(243\) −9.93249 + 12.0144i −0.637170 + 0.770724i
\(244\) 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
\(249\) 8.53426 12.2262i 0.540837 0.774804i
\(250\) −1.81447 3.14275i −0.114757 0.198765i
\(251\) −24.6814 −1.55787 −0.778937 0.627102i \(-0.784241\pi\)
−0.778937 + 0.627102i \(0.784241\pi\)
\(252\) −8.98470 9.42946i −0.565983 0.594000i
\(253\) 0.677067 + 0.677067i 0.0425668 + 0.0425668i
\(254\) −2.80167 + 10.4560i −0.175793 + 0.656067i
\(255\) −1.75346 + 2.51202i −0.109806 + 0.157308i
\(256\) 2.81036 4.86769i 0.175648 0.304231i
\(257\) 2.33559 + 4.04536i 0.145690 + 0.252343i 0.929630 0.368494i \(-0.120126\pi\)
−0.783940 + 0.620836i \(0.786793\pi\)
\(258\) −0.0995992 + 1.15792i −0.00620078 + 0.0720892i
\(259\) 9.14404 + 11.5167i 0.568183 + 0.715614i
\(260\) −0.595794 3.68369i −0.0369495 0.228453i
\(261\) −6.50788 17.7189i −0.402828 1.09677i
\(262\) −4.49218 + 1.20368i −0.277528 + 0.0743634i
\(263\) −2.05144 1.18440i −0.126497 0.0730332i 0.435416 0.900229i \(-0.356601\pi\)
−0.561913 + 0.827196i \(0.689935\pi\)
\(264\) 17.9448 + 6.50166i 1.10442 + 0.400149i
\(265\) −6.04603 6.04603i −0.371405 0.371405i
\(266\) −4.75953 + 2.06445i −0.291825 + 0.126580i
\(267\) −1.01987 + 11.8568i −0.0624149 + 0.725625i
\(268\) −13.3721 3.58304i −0.816831 0.218869i
\(269\) −16.9032 9.75907i −1.03061 0.595021i −0.113448 0.993544i \(-0.536190\pi\)
−0.917158 + 0.398523i \(0.869523\pi\)
\(270\) −1.96374 + 0.00861456i −0.119510 + 0.000524265i
\(271\) 14.1635 + 3.79511i 0.860373 + 0.230536i 0.661920 0.749574i \(-0.269742\pi\)
0.198453 + 0.980110i \(0.436408\pi\)
\(272\) 5.53735 0.335751
\(273\) −7.68556 14.6264i −0.465151 0.885231i
\(274\) −10.5813 −0.639242
\(275\) −22.4530 6.01627i −1.35397 0.362795i
\(276\) 0.0943392 + 0.530487i 0.00567855 + 0.0319316i
\(277\) 10.0421 + 5.79783i 0.603374 + 0.348358i 0.770368 0.637600i \(-0.220073\pi\)
−0.166994 + 0.985958i \(0.553406\pi\)
\(278\) −5.33502 1.42951i −0.319973 0.0857365i
\(279\) 11.8292 8.33456i 0.708196 0.498977i
\(280\) 0.415354 3.61680i 0.0248222 0.216145i
\(281\) −9.17695 9.17695i −0.547451 0.547451i 0.378252 0.925703i \(-0.376525\pi\)
−0.925703 + 0.378252i \(0.876525\pi\)
\(282\) 4.37046 12.0626i 0.260257 0.718317i
\(283\) 3.02366 + 1.74571i 0.179738 + 0.103772i 0.587170 0.809464i \(-0.300242\pi\)
−0.407432 + 0.913236i \(0.633576\pi\)
\(284\) 13.4198 3.59582i 0.796319 0.213373i
\(285\) 1.21774 3.36100i 0.0721328 0.199088i
\(286\) 8.84921 + 6.38522i 0.523265 + 0.377566i
\(287\) −4.72208 + 0.701409i −0.278735 + 0.0414029i
\(288\) 9.58403 + 13.6026i 0.564744 + 0.801539i
\(289\) 4.56789 + 7.91181i 0.268699 + 0.465401i
\(290\) 1.18897 2.05935i 0.0698186 0.120929i
\(291\) −4.36250 3.04516i −0.255735 0.178511i
\(292\) 0.788243 2.94176i 0.0461284 0.172154i
\(293\) 11.5707 + 11.5707i 0.675966 + 0.675966i 0.959085 0.283119i \(-0.0913692\pi\)
−0.283119 + 0.959085i \(0.591369\pi\)
\(294\) −1.50820 7.10682i −0.0879600 0.414478i
\(295\) 3.13088 0.182287
\(296\) −6.06308 10.5016i −0.352410 0.610391i
\(297\) −18.4764 + 18.6392i −1.07211 + 1.08156i
\(298\) −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
\(303\) −1.03307 + 2.85131i −0.0593486 + 0.163804i
\(304\) −6.24143 + 1.67239i −0.357970 + 0.0959179i
\(305\) −1.09356 4.08122i −0.0626171 0.233690i
\(306\) 2.11712 4.57507i 0.121028 0.261539i
\(307\) 1.22279 1.22279i 0.0697881 0.0697881i −0.671351 0.741139i \(-0.734286\pi\)
0.741139 + 0.671351i \(0.234286\pi\)
\(308\) −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 0.0771516 + 0.997019i \(0.475417\pi\)
−0.902020 + 0.431694i \(0.857916\pi\)
\(312\) 4.49670 + 12.8613i 0.254575 + 0.728128i
\(313\) 3.87011 + 6.70322i 0.218751 + 0.378888i 0.954427 0.298446i \(-0.0964683\pi\)
−0.735675 + 0.677335i \(0.763135\pi\)
\(314\) 3.74594 3.74594i 0.211396 0.211396i
\(315\) 4.27367 + 2.60698i 0.240794 + 0.146887i
\(316\) 15.8196i 0.889921i
\(317\) −2.23446 0.598722i −0.125500 0.0336276i 0.195522 0.980699i \(-0.437360\pi\)
−0.321022 + 0.947072i \(0.604026\pi\)
\(318\) 11.5375 + 8.05353i 0.646991 + 0.451619i
\(319\) −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
\(324\) −14.5289 + 2.64954i −0.807159 + 0.147197i
\(325\) −6.79873 15.1368i −0.377126 0.839637i
\(326\) 8.44272 + 4.87440i 0.467599 + 0.269968i
\(327\) 3.64386 1.70565i 0.201506 0.0943227i
\(328\) 3.93658 0.217361
\(329\) −25.6143 + 20.3373i −1.41216 + 1.12123i
\(330\) −3.29406 0.283340i −0.181332 0.0155974i
\(331\) 5.48984 20.4884i 0.301749 1.12614i −0.633959 0.773366i \(-0.718571\pi\)
0.935708 0.352775i \(-0.114762\pi\)
\(332\) 13.6446 3.65605i 0.748842 0.200652i
\(333\) 16.6066 1.50184i 0.910034 0.0823002i
\(334\) 0.0144937 + 0.0251038i 0.000793060 + 0.00137362i
\(335\) 5.32093 0.290714
\(336\) −0.557549 9.03145i −0.0304168 0.492706i
\(337\) 14.0203i 0.763735i 0.924217 + 0.381867i \(0.124719\pi\)
−0.924217 + 0.381867i \(0.875281\pi\)
\(338\) 0.458555 + 7.77628i 0.0249421 + 0.422974i
\(339\) 0.753340 + 4.23617i 0.0409158 + 0.230077i
\(340\) −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
\(345\) −0.0877961 0.187563i −0.00472678 0.0100980i
\(346\) −1.88710 7.04275i −0.101451 0.378621i
\(347\) 15.8244 + 9.13621i 0.849497 + 0.490457i 0.860481 0.509482i \(-0.170163\pi\)
−0.0109840 + 0.999940i \(0.503496\pi\)
\(348\) 6.09186 16.8137i 0.326558 0.901309i
\(349\) −0.993560 + 0.993560i −0.0531841 + 0.0531841i −0.733199 0.680015i \(-0.761973\pi\)
0.680015 + 0.733199i \(0.261973\pi\)
\(350\) −1.07201 7.21704i −0.0573012 0.385767i
\(351\) −18.6468 1.81562i −0.995293 0.0969104i
\(352\) 14.0075 + 24.2618i 0.746604 + 1.29316i
\(353\) 8.15676 + 30.4414i 0.434140 + 1.62023i 0.743115 + 0.669163i \(0.233347\pi\)
−0.308975 + 0.951070i \(0.599986\pi\)
\(354\) −5.07251 + 0.902070i −0.269601 + 0.0479445i
\(355\) −4.62450 + 2.66996i −0.245443 + 0.141707i
\(356\) −7.97234 + 7.97234i −0.422533 + 0.422533i
\(357\) −10.7122 + 7.09906i −0.566952 + 0.375722i
\(358\) −2.25469 + 2.25469i −0.119164 + 0.119164i
\(359\) −6.16476 + 23.0072i −0.325364 + 1.21427i 0.588582 + 0.808438i \(0.299686\pi\)
−0.913946 + 0.405837i \(0.866980\pi\)
\(360\) −3.17000 2.64418i −0.167074 0.139361i
\(361\) 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
\(366\) 2.94762 + 6.29714i 0.154075 + 0.329157i
\(367\) 8.47298 14.6756i 0.442286 0.766061i −0.555573 0.831468i \(-0.687501\pi\)
0.997859 + 0.0654064i \(0.0208344\pi\)
\(368\) −0.187165 + 0.324180i −0.00975667 + 0.0168991i
\(369\) −2.27331 + 4.91258i −0.118344 + 0.255739i
\(370\) 1.48532 + 1.48532i 0.0772181 + 0.0772181i
\(371\) −14.2730 32.9060i −0.741019 1.70840i
\(372\) 13.6589 + 1.17487i 0.708180 + 0.0609144i
\(373\) 13.4127 + 23.2315i 0.694484 + 1.20288i 0.970354 + 0.241687i \(0.0777008\pi\)
−0.275870 + 0.961195i \(0.588966\pi\)
\(374\) 4.24370 7.35031i 0.219437 0.380075i
\(375\) 8.60133 + 6.00399i 0.444171 + 0.310045i
\(376\) 23.3565 13.4849i 1.20452 0.695431i
\(377\) 13.2746 18.3971i 0.683677 0.947501i
\(378\) −7.67513 2.99238i −0.394766 0.153911i
\(379\) 0.604563 + 0.604563i 0.0310543 + 0.0310543i 0.722463 0.691409i \(-0.243010\pi\)
−0.691409 + 0.722463i \(0.743010\pi\)
\(380\) 2.93302 1.69338i 0.150461 0.0868686i
\(381\) −5.47843 30.8062i −0.280668 1.57825i
\(382\) 4.88289 1.30837i 0.249830 0.0669419i
\(383\) 30.9591 + 8.29547i 1.58194 + 0.423879i 0.939525 0.342480i \(-0.111267\pi\)
0.642412 + 0.766359i \(0.277934\pi\)
\(384\) −1.70226 + 19.7902i −0.0868680 + 1.00991i
\(385\) 6.77065 + 5.01938i 0.345064 + 0.255811i
\(386\) 0.503627i 0.0256339i
\(387\) −1.15820 3.15341i −0.0588747 0.160297i
\(388\) −1.30454 4.86860i −0.0662278 0.247166i
\(389\) 13.6175 23.5862i 0.690435 1.19587i −0.281261 0.959631i \(-0.590753\pi\)
0.971696 0.236236i \(-0.0759140\pi\)
\(390\) −1.32902 1.95039i −0.0672978 0.0987616i
\(391\) 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
\(396\) −24.7634 + 2.23951i −1.24441 + 0.112540i
\(397\) 27.7511 + 7.43588i 1.39279 + 0.373196i 0.875749 0.482766i \(-0.160368\pi\)
0.517038 + 0.855962i \(0.327034\pi\)
\(398\) 0.0450838 + 0.0450838i 0.00225985 + 0.00225985i
\(399\) 9.93027 11.2370i 0.497135 0.562554i
\(400\) 9.08742i 0.454371i
\(401\) 0.944439 3.52469i 0.0471630 0.176015i −0.938327 0.345750i \(-0.887625\pi\)
0.985490 + 0.169735i \(0.0542912\pi\)
\(402\) −8.62074 + 1.53307i −0.429964 + 0.0764626i
\(403\) 16.2565 + 6.17938i 0.809795 + 0.307817i
\(404\) −2.48824 + 1.43658i −0.123794 + 0.0714728i
\(405\) 5.13038 2.42897i 0.254931 0.120696i
\(406\) 7.81226 6.20277i 0.387716 0.307838i
\(407\) 28.0732 1.39154
\(408\) 9.59762 4.49254i 0.475153 0.222414i
\(409\) −6.90735 + 1.85082i −0.341547 + 0.0915171i −0.425515 0.904951i \(-0.639907\pi\)
0.0839687 + 0.996468i \(0.473240\pi\)
\(410\) −0.658679 + 0.176493i −0.0325298 + 0.00871635i
\(411\) 27.7012 12.9666i 1.36640 0.639596i
\(412\) 27.1642 1.33828
\(413\) 12.2156 + 4.82446i 0.601091 + 0.237396i
\(414\) 0.196284 + 0.278585i 0.00964683 + 0.0136917i
\(415\) −4.70195 + 2.71467i −0.230810 + 0.133258i
\(416\) −7.10575 + 18.6936i −0.348388 + 0.916529i
\(417\) 15.7184 2.79529i 0.769735 0.136886i
\(418\) −2.56336 + 9.56659i −0.125378 + 0.467917i
\(419\) 1.06805i 0.0521776i 0.999660 + 0.0260888i \(0.00830526\pi\)
−0.999660 + 0.0260888i \(0.991695\pi\)
\(420\) 1.50745 + 4.49678i 0.0735560 + 0.219420i
\(421\) 13.1501 + 13.1501i 0.640898 + 0.640898i 0.950776 0.309878i \(-0.100288\pi\)
−0.309878 + 0.950776i \(0.600288\pi\)
\(422\) −11.1629 2.99109i −0.543401 0.145604i
\(423\) 3.34024 + 36.9347i 0.162408 + 1.79582i
\(424\) 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
\(429\) −30.9912 5.87200i −1.49627 0.283503i
\(430\) 0.211600 0.366501i 0.0102042 0.0176743i
\(431\) −4.57072 17.0582i −0.220164 0.821662i −0.984285 0.176589i \(-0.943494\pi\)
0.764121 0.645073i \(-0.223173\pi\)
\(432\) −8.90801 5.09107i −0.428587 0.244944i
\(433\) 22.5992i 1.08605i −0.839717 0.543025i \(-0.817279\pi\)
0.839717 0.543025i \(-0.182721\pi\)
\(434\) 6.14306 + 4.55412i 0.294876 + 0.218605i
\(435\) −0.589053 + 6.84822i −0.0282429 + 0.328347i
\(436\) 3.68179 + 0.986532i 0.176326 + 0.0472463i
\(437\) −0.599228 + 0.160563i −0.0286650 + 0.00768075i
\(438\) −0.337264 1.89650i −0.0161151 0.0906182i
\(439\) −7.07699 + 4.08590i −0.337766 + 0.195010i −0.659284 0.751894i \(-0.729140\pi\)
0.321517 + 0.946904i \(0.395807\pi\)
\(440\) −4.91440 4.91440i −0.234285 0.234285i
\(441\) 12.6572 + 16.7569i 0.602724 + 0.797950i
\(442\) 5.98101 0.967359i 0.284488 0.0460126i
\(443\) 15.5991 9.00612i 0.741133 0.427894i −0.0813479 0.996686i \(-0.525922\pi\)
0.822481 + 0.568792i \(0.192589\pi\)
\(444\) 12.9536 + 9.04200i 0.614750 + 0.429114i
\(445\) 2.16672 3.75287i 0.102712 0.177903i
\(446\) −8.29986 14.3758i −0.393010 0.680713i
\(447\) 26.3823 + 2.26929i 1.24784 + 0.107334i
\(448\) 0.985641 1.32953i 0.0465672 0.0628146i
\(449\) 1.78185 + 1.78185i 0.0840906 + 0.0840906i 0.747901 0.663810i \(-0.231062\pi\)
−0.663810 + 0.747901i \(0.731062\pi\)
\(450\) −7.50820 3.47444i −0.353940 0.163786i
\(451\) −4.55677 + 7.89256i −0.214570 + 0.371646i
\(452\) −2.03816 + 3.53019i −0.0958668 + 0.166046i
\(453\) −3.94412 8.42600i −0.185311 0.395888i
\(454\) 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 −0.951198 0.308581i \(-0.900146\pi\)
0.978052 + 0.208360i \(0.0668126\pi\)
\(458\) −7.16703 4.13789i −0.334893 0.193351i
\(459\) 0.0639225 + 14.5716i 0.00298365 + 0.680142i
\(460\) 0.0507804 0.189515i 0.00236765 0.00883619i
\(461\) −4.60624 + 4.60624i −0.214534 + 0.214534i −0.806190 0.591656i \(-0.798474\pi\)
0.591656 + 0.806190i \(0.298474\pi\)
\(462\) −12.4157 6.18141i −0.577630 0.287585i
\(463\) −10.6044 + 10.6044i −0.492827 + 0.492827i −0.909196 0.416369i \(-0.863303\pi\)
0.416369 + 0.909196i \(0.363303\pi\)
\(464\) 10.7596 6.21207i 0.499503 0.288388i
\(465\) −5.18784 + 0.922580i −0.240580 + 0.0427836i
\(466\) 2.74070 + 10.2284i 0.126961 + 0.473823i
\(467\) −21.4057 37.0758i −0.990540 1.71567i −0.614112 0.789219i \(-0.710486\pi\)
−0.376428 0.926446i \(-0.622848\pi\)
\(468\) −12.4087 12.6913i −0.573592 0.586656i
\(469\) 20.7604 + 8.19918i 0.958628 + 0.378603i
\(470\) −3.30350 + 3.30350i −0.152379 + 0.152379i
\(471\) −5.21624 + 14.3970i −0.240352 + 0.663377i
\(472\) −9.37924 5.41511i −0.431715 0.249251i
\(473\) −1.46386 5.46319i −0.0673082 0.251198i
\(474\) 4.24182 + 9.06199i 0.194833 + 0.416231i
\(475\) 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 \(-0.726414\pi\)
−0.186601 + 0.982436i \(0.559747\pi\)
\(480\) −1.06089 5.96557i −0.0484227 0.272290i
\(481\) 12.6625 + 15.5327i 0.577360 + 0.708232i
\(482\) 10.1305i 0.461432i
\(483\) −0.0535293 0.867093i −0.00243567 0.0394541i
\(484\) −23.8119 −1.08236
\(485\) 0.968639 + 1.67773i 0.0439836 + 0.0761819i
\(486\) −7.61218 + 5.41348i −0.345296 + 0.245560i
\(487\) −40.6366 + 10.8885i −1.84142 + 0.493407i −0.998970 0.0453670i \(-0.985554\pi\)
−0.842450 + 0.538774i \(0.818888\pi\)
\(488\) −3.78280 + 14.1176i −0.171239 + 0.639074i
\(489\) −28.0756 2.41494i −1.26962 0.109207i
\(490\) −0.599706 + 2.57662i −0.0270920 + 0.116400i
\(491\) 30.4714 1.37516 0.687578 0.726110i \(-0.258674\pi\)
0.687578 + 0.726110i \(0.258674\pi\)
\(492\) −4.64468 + 2.17412i −0.209398 + 0.0980171i
\(493\) −15.2810 8.82249i −0.688221 0.397345i
\(494\) −6.44934 + 2.89674i −0.290170 + 0.130330i
\(495\) 8.97082 3.29486i 0.403209 0.148093i
\(496\) 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 −0.777713 0.628619i \(-0.783621\pi\)
0.987829 0.155543i \(-0.0497128\pi\)
\(500\) 2.57209 + 9.59917i 0.115027 + 0.429288i
\(501\) −0.0687063 0.0479591i −0.00306957 0.00214265i
\(502\) −14.2855 3.82779i −0.637593 0.170843i
\(503\) 43.5885i 1.94351i 0.235984 + 0.971757i \(0.424169\pi\)
−0.235984 + 0.971757i \(0.575831\pi\)
\(504\) −8.29374 15.2014i −0.369433 0.677126i
\(505\) 0.780869 0.780869i 0.0347482 0.0347482i
\(506\) 0.286879 + 0.496889i 0.0127533 + 0.0220894i
\(507\) −10.7297 19.7958i −0.476522 0.879162i
\(508\) 14.8218 25.6722i 0.657613 1.13902i
\(509\) 13.1548 + 3.52481i 0.583075 + 0.156234i 0.538286 0.842762i \(-0.319072\pi\)
0.0447884 + 0.998996i \(0.485739\pi\)
\(510\) −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
\(513\) −4.47294 16.4050i −0.197485 0.724300i
\(514\) 0.724444 + 2.70366i 0.0319539 + 0.119253i
\(515\) −10.0849 + 2.70225i −0.444395 + 0.119075i
\(516\) 1.08416 2.99232i 0.0477276 0.131730i
\(517\) 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 \(-0.283335\pi\)
−0.358373 + 0.933579i \(0.616668\pi\)
\(522\) −1.01876 11.2649i −0.0445898 0.493052i
\(523\) −11.9815 20.7526i −0.523915 0.907448i −0.999612 0.0278389i \(-0.991137\pi\)
0.475697 0.879609i \(-0.342196\pi\)
\(524\) 12.7358 0.556364
\(525\) 11.6504 + 17.5800i 0.508463 + 0.767255i
\(526\) −1.00368 1.00368i −0.0437625 0.0437625i
\(527\) 3.50095 13.0657i 0.152504 0.569152i
\(528\) −14.1647 9.88739i −0.616439 0.430294i
\(529\) 11.4820 19.8875i 0.499219 0.864672i
\(530\) −2.56176 4.43709i −0.111276 0.192735i
\(531\) 12.1740 8.57752i 0.528308 0.372233i
\(532\) 14.0530 2.08741i 0.609276 0.0905008i
\(533\) −6.42225 + 1.03872i −0.278178 + 0.0449922i
\(534\) −2.42915 + 6.70451i −0.105119 + 0.290133i
\(535\) 8.63136 2.31277i 0.373166 0.0999896i
\(536\) −15.9400 9.20299i −0.688505 0.397508i
\(537\) 3.13967 8.66557i 0.135487 0.373947i
\(538\) −8.27000 8.27000i −0.356545 0.356545i
\(539\) 18.6822 + 30.0170i 0.804701 + 1.29292i
\(540\) 5.20056 + 1.36906i 0.223796 + 0.0589151i
\(541\) 5.78910 + 1.55118i 0.248893 + 0.0666906i 0.381108 0.924530i \(-0.375542\pi\)
−0.132216 + 0.991221i \(0.542209\pi\)
\(542\) 7.60923 + 4.39319i 0.326844 + 0.188704i
\(543\) 3.36781 + 18.9378i 0.144526 + 0.812699i
\(544\) 15.0245 + 4.02579i 0.644169 + 0.172604i
\(545\) −1.46503 −0.0627550
\(546\) −2.17999 9.65766i −0.0932950 0.413310i
\(547\) −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
\(549\) −15.4333 12.8734i −0.658678 0.549422i
\(550\) −12.0627 6.96440i −0.514355 0.296963i
\(551\) 19.8885 + 5.32912i 0.847281 + 0.227028i
\(552\) −0.0613923 + 0.713736i −0.00261303 + 0.0303786i
\(553\) 2.91004 25.3399i 0.123747 1.07756i
\(554\) 4.91318 + 4.91318i 0.208741 + 0.208741i
\(555\) −5.70860 2.06831i −0.242317 0.0877950i
\(556\) 13.0989 + 7.56263i 0.555516 + 0.320727i
\(557\) 14.4605 3.87469i 0.612713 0.164176i 0.0609000 0.998144i \(-0.480603\pi\)
0.551813 + 0.833968i \(0.313936\pi\)
\(558\) 8.13929 2.98945i 0.344564 0.126553i
\(559\) 2.36247 3.27413i 0.0999219 0.138481i
\(560\) −1.21034 + 3.06459i −0.0511461 + 0.129503i
\(561\) −2.10247 + 24.4429i −0.0887661 + 1.03198i
\(562\) −3.88835 6.73483i −0.164020 0.284091i
\(563\) 10.6637 18.4701i 0.449422 0.778421i −0.548927 0.835870i \(-0.684963\pi\)
0.998348 + 0.0574493i \(0.0182968\pi\)
\(564\) −20.1103 + 28.8101i −0.846796 + 1.21312i
\(565\) 0.405504 1.51336i 0.0170597 0.0636676i
\(566\) 1.47935 + 1.47935i 0.0621815 + 0.0621815i
\(567\) 23.7599 1.57145i 0.997820 0.0659948i
\(568\) 18.4716 0.775052
\(569\) −18.5499 32.1294i −0.777654 1.34694i −0.933291 0.359122i \(-0.883076\pi\)
0.155637 0.987814i \(-0.450257\pi\)
\(570\) 1.22608 1.75648i 0.0513547 0.0735708i
\(571\) 14.6991 + 8.48652i 0.615138 + 0.355150i 0.774974 0.631994i \(-0.217763\pi\)
−0.159836 + 0.987144i \(0.551096\pi\)
\(572\) −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
\(576\) −0.647002 1.76158i −0.0269584 0.0733990i
\(577\) 5.20910 1.39578i 0.216858 0.0581069i −0.148754 0.988874i \(-0.547526\pi\)
0.365612 + 0.930767i \(0.380860\pi\)
\(578\) 1.41685 + 5.28775i 0.0589332 + 0.219942i
\(579\) −0.617156 1.31846i −0.0256481 0.0547932i
\(580\) −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
\(585\) 5.86933 + 3.47735i 0.242667 + 0.143771i
\(586\) 4.90259 + 8.49154i 0.202524 + 0.350782i
\(587\) 7.92659 7.92659i 0.327165 0.327165i −0.524342 0.851508i \(-0.675689\pi\)
0.851508 + 0.524342i \(0.175689\pi\)
\(588\) −1.04767 + 19.8678i −0.0432051 + 0.819333i
\(589\) 15.7844i 0.650385i
\(590\) 1.81214 + 0.485562i 0.0746047 + 0.0199903i
\(591\) 10.3954 14.8924i 0.427609 0.612593i
\(592\) 2.84052 + 10.6010i 0.116745 + 0.435696i
\(593\) −3.01511 + 11.2525i −0.123816 + 0.462087i −0.999795 0.0202627i \(-0.993550\pi\)
0.875979 + 0.482349i \(0.160216\pi\)
\(594\) −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
\(597\) −0.173273 0.0627793i −0.00709158 0.00256939i
\(598\) −0.145528 + 0.382851i −0.00595109 + 0.0156560i
\(599\) −17.5234 10.1171i −0.715985 0.413374i 0.0972879 0.995256i \(-0.468983\pi\)
−0.813273 + 0.581882i \(0.802317\pi\)
\(600\) −7.37277 15.7508i −0.300992 0.643023i
\(601\) −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
\(603\) 20.6898 14.5775i 0.842554 0.593642i
\(604\) 2.28124 8.51371i 0.0928224 0.346418i
\(605\) 8.84034 2.36876i 0.359411 0.0963039i
\(606\) −1.04014 + 1.49011i −0.0422530 + 0.0605317i
\(607\) −9.48921 16.4358i −0.385155 0.667108i 0.606636 0.794980i \(-0.292519\pi\)
−0.991791 + 0.127872i \(0.959185\pi\)
\(608\) −18.1507 −0.736108
\(609\) −12.8509 + 25.8117i −0.520745 + 1.04594i
\(610\) 2.53180i 0.102509i
\(611\) −34.5463 + 28.1626i −1.39760 + 1.13934i
\(612\) −8.84284 + 10.6013i −0.357451 + 0.428532i
\(613\) −35.1615 + 9.42150i −1.42016 + 0.380531i −0.885541 0.464562i \(-0.846212\pi\)
−0.534620 + 0.845093i \(0.679545\pi\)
\(614\) 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 \(-0.744826\pi\)
0.718506 + 0.695521i \(0.244826\pi\)
\(618\) 15.5606 7.28373i 0.625938 0.292995i
\(619\) −5.28324 19.7173i −0.212351 0.792507i −0.987082 0.160215i \(-0.948781\pi\)
0.774731 0.632291i \(-0.217885\pi\)
\(620\) −4.32325 2.49603i −0.173626 0.100243i
\(621\) −0.855242 0.488784i −0.0343197 0.0196142i
\(622\) −12.3271 + 12.3271i −0.494273 + 0.494273i
\(623\) 14.2367 11.3036i 0.570381 0.452871i
\(624\) −0.918387 12.2970i −0.0367649 0.492273i
\(625\) 9.59572 + 16.6203i 0.383829 + 0.664811i
\(626\) 1.20042 + 4.48001i 0.0479782 + 0.179057i
\(627\) −5.01243 28.1858i −0.200177 1.12563i
\(628\) −12.5637 + 7.25366i −0.501347 + 0.289453i
\(629\) 11.0215 11.0215i 0.439456 0.439456i
\(630\) 2.06927 + 2.17170i 0.0824418 + 0.0865228i
\(631\) 11.9196 11.9196i 0.474513 0.474513i −0.428859 0.903371i \(-0.641084\pi\)
0.903371 + 0.428859i \(0.141084\pi\)
\(632\) −5.44370 + 20.3161i −0.216539 + 0.808133i
\(633\) 32.8890 5.84881i 1.30722 0.232469i
\(634\) −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
\(639\) −10.6671 + 23.0513i −0.421982 + 0.911897i
\(640\) 3.61647 6.26390i 0.142953 0.247603i
\(641\) −0.831244 + 1.43976i −0.0328322 + 0.0568670i −0.881975 0.471297i \(-0.843786\pi\)
0.849142 + 0.528164i \(0.177119\pi\)
\(642\) −13.3178 + 6.23391i −0.525611 + 0.246033i
\(643\) 19.7206 + 19.7206i 0.777706 + 0.777706i 0.979440 0.201734i \(-0.0646577\pi\)
−0.201734 + 0.979440i \(0.564658\pi\)
\(644\) 0.490157 0.661174i 0.0193149 0.0260539i
\(645\) −0.104833 + 1.21877i −0.00412780 + 0.0479891i
\(646\) 2.74946 + 4.76220i 0.108176 + 0.187366i
\(647\) −7.28323 + 12.6149i −0.286333 + 0.495944i −0.972932 0.231093i \(-0.925770\pi\)
0.686598 + 0.727037i \(0.259103\pi\)
\(648\) −19.5703 1.59689i −0.768794 0.0627319i
\(649\) 21.7138 12.5365i 0.852342 0.492100i
\(650\) −1.58755 9.81552i −0.0622687 0.384996i
\(651\) −21.6628 4.39450i −0.849032 0.172234i
\(652\) −18.8776 18.8776i −0.739305 0.739305i
\(653\) −2.58378 + 1.49174i −0.101111 + 0.0583765i −0.549703 0.835360i \(-0.685259\pi\)
0.448592 + 0.893737i \(0.351926\pi\)
\(654\) 2.37358 0.422106i 0.0928143 0.0165056i
\(655\) −4.72825 + 1.26693i −0.184748 + 0.0495031i
\(656\) −3.44144 0.922131i −0.134366 0.0360032i
\(657\) 3.20694 + 4.55160i 0.125115 + 0.177575i
\(658\) −17.9796 + 7.79866i −0.700916 + 0.304023i
\(659\) 23.3405i 0.909217i 0.890691 + 0.454609i \(0.150221\pi\)
−0.890691 + 0.454609i \(0.849779\pi\)
\(660\) 8.51256 + 3.08423i 0.331351 + 0.120053i
\(661\) −3.28717 12.2679i −0.127856 0.477165i 0.872069 0.489382i \(-0.162778\pi\)
−0.999925 + 0.0122171i \(0.996111\pi\)
\(662\) 6.35500 11.0072i 0.246994 0.427806i
\(663\) −14.4724 + 9.86174i −0.562062 + 0.382998i
\(664\) 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
\(669\) 39.3448 + 27.4639i 1.52116 + 1.06181i
\(670\) 3.07974 + 0.825213i 0.118981 + 0.0318808i
\(671\) −23.9260 23.9260i −0.923655 0.923655i
\(672\) 5.05330 24.9103i 0.194935 0.960937i
\(673\) 22.2908i 0.859249i −0.903008 0.429624i \(-0.858646\pi\)
0.903008 0.429624i \(-0.141354\pi\)
\(674\) −2.17438 + 8.11491i −0.0837541 + 0.312575i
\(675\) 23.9136 0.104904i 0.920434 0.00403776i
\(676\) 4.29866 20.8946i 0.165333 0.803640i
\(677\) 13.4234 7.75003i 0.515905 0.297858i −0.219353 0.975646i \(-0.570395\pi\)
0.735258 + 0.677788i \(0.237061\pi\)
\(678\) −0.220949 + 2.56872i −0.00848550 + 0.0986510i
\(679\) 1.19403 + 8.03853i 0.0458227 + 0.308491i
\(680\) −3.85877 −0.147977
\(681\) 17.8268 + 38.0841i 0.683123 + 1.45939i
\(682\) 14.1011 3.77837i 0.539958 0.144681i
\(683\) 1.28580 0.344528i 0.0491996 0.0131830i −0.234135 0.972204i \(-0.575226\pi\)
0.283335 + 0.959021i \(0.408559\pi\)
\(684\) 6.76542 14.6200i 0.258682 0.559009i
\(685\) −11.1374 −0.425538
\(686\) −6.31023 + 9.12896i −0.240926 + 0.348545i
\(687\) 23.8334 + 2.05004i 0.909302 + 0.0782139i
\(688\) 1.91488 1.10556i 0.0730042 0.0421490i
\(689\) −20.0272 44.5889i −0.762977 1.69870i
\(690\) −0.0217273 0.122177i −0.000827145 0.00465119i
\(691\) 0.779781 2.91018i 0.0296643 0.110709i −0.949506 0.313748i \(-0.898415\pi\)
0.979171 + 0.203039i \(0.0650820\pi\)
\(692\) 19.9668i 0.759026i
\(693\) 40.0782 + 0.968005i 1.52244 + 0.0367715i
\(694\) 7.74218 + 7.74218i 0.293889 + 0.293889i
\(695\) −5.61537 1.50463i −0.213003 0.0570740i
\(696\) 13.6092 19.4966i 0.515855 0.739015i
\(697\) 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 \(-0.523321\pi\)
−0.0732003 + 0.997317i \(0.523321\pi\)
\(702\) −10.5111 3.94277i −0.396717 0.148810i
\(703\) −9.09419 + 15.7516i −0.342994 + 0.594083i
\(704\) −0.817748 3.05188i −0.0308200 0.115022i
\(705\) 4.60013 12.6965i 0.173251 0.478178i
\(706\) 18.8844i 0.710724i
\(707\) 4.24994 1.84342i 0.159836 0.0693289i
\(708\) 14.0571 + 1.20912i 0.528296 + 0.0454416i
\(709\) 13.8220 + 3.70360i 0.519098 + 0.139092i 0.508849 0.860856i \(-0.330071\pi\)
0.0102484 + 0.999947i \(0.496738\pi\)
\(710\) −3.09072 + 0.828157i −0.115993 + 0.0310802i
\(711\) −22.2095 18.5256i −0.832922 0.694764i
\(712\) −12.9818 + 7.49504i −0.486513 + 0.280888i
\(713\) 0.646590 + 0.646590i 0.0242150 + 0.0242150i
\(714\) −7.30119 + 2.44757i −0.273240 + 0.0915980i
\(715\) 9.31424 + 6.72076i 0.348333 + 0.251342i
\(716\) 7.56213 4.36600i 0.282610 0.163165i
\(717\) −14.3044 + 20.4924i −0.534206 + 0.765304i
\(718\) −7.13629 + 12.3604i −0.266324 + 0.461287i
\(719\) 16.8158 + 29.1257i 0.627122 + 1.08621i 0.988126 + 0.153643i \(0.0491005\pi\)
−0.361005 + 0.932564i \(0.617566\pi\)
\(720\) 2.15189 + 3.05416i 0.0801961 + 0.113822i
\(721\) −43.5119 4.99691i −1.62047 0.186094i
\(722\) 3.51314 + 3.51314i 0.130745 + 0.130745i
\(723\) 12.4141 + 26.5209i 0.461687 + 0.986323i
\(724\) −9.11158 + 15.7817i −0.338629 + 0.586523i
\(725\) −14.4787 + 25.0778i −0.537726 + 0.931368i
\(726\) −13.6402 + 6.38485i −0.506237 + 0.236964i
\(727\) 45.9430i 1.70393i −0.523599 0.851965i \(-0.675411\pi\)
0.523599 0.851965i \(-0.324589\pi\)
\(728\) 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
\(732\) −3.33374 18.7462i −0.123219 0.692881i
\(733\) −4.49530 + 16.7767i −0.166038 + 0.619661i 0.831868 + 0.554973i \(0.187272\pi\)
−0.997906 + 0.0646871i \(0.979395\pi\)
\(734\) 7.18014 7.18014i 0.265024 0.265024i
\(735\) −1.58746 7.48028i −0.0585542 0.275914i
\(736\) −0.743522 + 0.743522i −0.0274066 + 0.0274066i
\(737\) 36.9027 21.3058i 1.35933 0.784808i
\(738\) −2.07767 + 2.49082i −0.0764799 + 0.0916885i
\(739\) 0.0462618 + 0.172651i 0.00170177 + 0.00635108i 0.966771 0.255642i \(-0.0822869\pi\)
−0.965070 + 0.261993i \(0.915620\pi\)
\(740\) −2.87618 4.98169i −0.105730 0.183130i
\(741\) 13.3342 15.4866i 0.489843 0.568915i
\(742\) −3.15785 21.2595i −0.115928 0.780460i
\(743\) −11.8499 + 11.8499i −0.434731 + 0.434731i −0.890234 0.455503i \(-0.849459\pi\)
0.455503 + 0.890234i \(0.349459\pi\)
\(744\) 17.1370 + 6.20900i 0.628273 + 0.227633i
\(745\) −8.35043 4.82112i −0.305936 0.176632i
\(746\) 4.16031 + 15.5265i 0.152320 + 0.568465i
\(747\) −10.8457 + 23.4374i −0.396824 + 0.857530i
\(748\) −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 −0.644601 0.764519i \(-0.722977\pi\)
0.339792 + 0.940501i \(0.389643\pi\)
\(752\) −23.5776 + 6.31759i −0.859786 + 0.230379i
\(753\) 42.0890 7.48491i 1.53381 0.272765i
\(754\) 10.5365 8.58948i 0.383716 0.312810i
\(755\) 3.38771i 0.123292i
\(756\) 18.1812 + 13.3553i 0.661242 + 0.485727i
\(757\) −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
\(759\) −1.35993 0.949271i −0.0493622 0.0344563i
\(760\) 4.34942 1.16542i 0.157770 0.0422743i
\(761\) 4.47507 16.7012i 0.162221 0.605417i −0.836157 0.548490i \(-0.815203\pi\)
0.998378 0.0569274i \(-0.0181304\pi\)
\(762\) 1.60678 18.6802i 0.0582076 0.676712i
\(763\) −5.71605 2.25751i −0.206935 0.0817273i
\(764\) −13.8434 −0.500838
\(765\) 2.22838 4.81549i 0.0805671 0.174104i
\(766\) 16.6325 + 9.60278i 0.600957 + 0.346963i
\(767\) 16.7304 + 6.35951i 0.604101 + 0.229629i
\(768\) −3.31632 + 9.15313i −0.119667 + 0.330285i
\(769\) −15.1816 15.1816i −0.547462 0.547462i 0.378244 0.925706i \(-0.376528\pi\)
−0.925706 + 0.378244i \(0.876528\pi\)
\(770\) 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