Properties

Label 483.2.bf.a.178.1
Level $483$
Weight $2$
Character 483.178
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 178.1
Character \(\chi\) \(=\) 483.178
Dual form 483.2.bf.a.19.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.78242 + 0.265689i) q^{2} +(0.690079 + 0.723734i) q^{3} +(5.70742 - 1.10001i) q^{4} +(0.0901076 + 0.0464537i) q^{5} +(-2.11238 - 1.83039i) q^{6} +(2.63520 + 0.236108i) q^{7} +(-10.2245 + 3.00217i) q^{8} +(-0.0475819 + 0.998867i) q^{9} +O(q^{10})\) \(q+(-2.78242 + 0.265689i) q^{2} +(0.690079 + 0.723734i) q^{3} +(5.70742 - 1.10001i) q^{4} +(0.0901076 + 0.0464537i) q^{5} +(-2.11238 - 1.83039i) q^{6} +(2.63520 + 0.236108i) q^{7} +(-10.2245 + 3.00217i) q^{8} +(-0.0475819 + 0.998867i) q^{9} +(-0.263059 - 0.105313i) q^{10} +(-0.291164 + 3.04921i) q^{11} +(4.73469 + 3.37155i) q^{12} +(-5.20984 + 0.749062i) q^{13} +(-7.39495 + 0.0431912i) q^{14} +(0.0285612 + 0.0972706i) q^{15} +(16.8589 - 6.74928i) q^{16} +(0.524494 + 1.51543i) q^{17} +(-0.132995 - 2.79191i) q^{18} +(-2.69452 + 7.78530i) q^{19} +(0.565381 + 0.166011i) q^{20} +(1.64761 + 2.07011i) q^{21} -8.56154i q^{22} +(4.54332 - 1.53566i) q^{23} +(-9.22846 - 5.32805i) q^{24} +(-2.89432 - 4.06451i) q^{25} +(14.2970 - 3.46840i) q^{26} +(-0.755750 + 0.654861i) q^{27} +(15.2999 - 1.55119i) q^{28} +(2.32069 - 2.67822i) q^{29} +(-0.105313 - 0.263059i) q^{30} +(4.80214 + 1.16499i) q^{31} +(-26.1723 + 13.4928i) q^{32} +(-2.40774 + 1.89347i) q^{33} +(-1.86199 - 4.07720i) q^{34} +(0.226483 + 0.143690i) q^{35} +(0.827198 + 5.75329i) q^{36} +(-2.77761 - 0.132314i) q^{37} +(5.42882 - 22.3779i) q^{38} +(-4.13733 - 3.25363i) q^{39} +(-1.06076 - 0.204445i) q^{40} +(1.21272 + 1.88703i) q^{41} +(-5.13436 - 5.32217i) q^{42} +(-2.33410 + 7.94921i) q^{43} +(1.69238 + 17.7234i) q^{44} +(-0.0506886 + 0.0877951i) q^{45} +(-12.2334 + 5.47995i) q^{46} +(1.46454 - 0.845553i) q^{47} +(16.5187 + 7.54382i) q^{48} +(6.88851 + 1.24438i) q^{49} +(9.13312 + 10.5402i) q^{50} +(-0.734823 + 1.42536i) q^{51} +(-28.9108 + 10.0061i) q^{52} +(-3.97193 + 5.05072i) q^{53} +(1.92882 - 2.02289i) q^{54} +(-0.167883 + 0.261231i) q^{55} +(-27.6523 + 5.49723i) q^{56} +(-7.49392 + 3.42236i) q^{57} +(-5.74557 + 8.06853i) q^{58} +(-2.85216 + 7.12436i) q^{59} +(0.270010 + 0.523746i) q^{60} +(5.20658 + 4.96446i) q^{61} +(-13.6711 - 1.96561i) q^{62} +(-0.361228 + 2.62098i) q^{63} +(38.6836 - 24.8604i) q^{64} +(-0.504243 - 0.174520i) q^{65} +(6.19628 - 5.90814i) q^{66} +(-2.83994 + 2.02232i) q^{67} +(4.66049 + 8.07221i) q^{68} +(4.24666 + 2.22843i) q^{69} +(-0.668347 - 0.339631i) q^{70} +(2.38473 - 5.22184i) q^{71} +(-2.51227 - 10.3557i) q^{72} +(-1.33979 - 6.95147i) q^{73} +(7.76365 - 0.369828i) q^{74} +(0.944311 - 4.89955i) q^{75} +(-6.81480 + 47.3980i) q^{76} +(-1.48722 + 7.96651i) q^{77} +(12.3762 + 7.95372i) q^{78} +(2.21869 + 2.82129i) q^{79} +(1.83264 + 0.174996i) q^{80} +(-0.995472 - 0.0950560i) q^{81} +(-3.87566 - 4.92831i) q^{82} +(-1.82142 - 1.17056i) q^{83} +(11.6808 + 10.0026i) q^{84} +(-0.0231362 + 0.160916i) q^{85} +(4.38243 - 22.7382i) q^{86} +(3.53978 - 0.168621i) q^{87} +(-6.17725 - 32.0506i) q^{88} +(-0.298459 - 1.23026i) q^{89} +(0.117711 - 0.257750i) q^{90} +(-13.9058 + 0.743841i) q^{91} +(24.2414 - 13.7623i) q^{92} +(2.47072 + 4.27941i) q^{93} +(-3.85031 + 2.74180i) q^{94} +(-0.604453 + 0.576344i) q^{95} +(-27.8261 - 9.63071i) q^{96} +(-3.47143 + 2.23095i) q^{97} +(-19.4973 - 1.63219i) q^{98} +(-3.03190 - 0.435922i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{7}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.78242 + 0.265689i −1.96747 + 0.187870i −0.998288 0.0584833i \(-0.981374\pi\)
−0.969180 + 0.246354i \(0.920767\pi\)
\(3\) 0.690079 + 0.723734i 0.398417 + 0.417848i
\(4\) 5.70742 1.10001i 2.85371 0.550007i
\(5\) 0.0901076 + 0.0464537i 0.0402973 + 0.0207747i 0.478257 0.878220i \(-0.341269\pi\)
−0.437960 + 0.898994i \(0.644299\pi\)
\(6\) −2.11238 1.83039i −0.862375 0.747252i
\(7\) 2.63520 + 0.236108i 0.996010 + 0.0892403i
\(8\) −10.2245 + 3.00217i −3.61489 + 1.06143i
\(9\) −0.0475819 + 0.998867i −0.0158606 + 0.332956i
\(10\) −0.263059 0.105313i −0.0831867 0.0333029i
\(11\) −0.291164 + 3.04921i −0.0877893 + 0.919371i 0.839085 + 0.544000i \(0.183091\pi\)
−0.926875 + 0.375371i \(0.877515\pi\)
\(12\) 4.73469 + 3.37155i 1.36679 + 0.973284i
\(13\) −5.20984 + 0.749062i −1.44495 + 0.207753i −0.819754 0.572715i \(-0.805890\pi\)
−0.625196 + 0.780468i \(0.714981\pi\)
\(14\) −7.39495 + 0.0431912i −1.97638 + 0.0115433i
\(15\) 0.0285612 + 0.0972706i 0.00737448 + 0.0251152i
\(16\) 16.8589 6.74928i 4.21472 1.68732i
\(17\) 0.524494 + 1.51543i 0.127208 + 0.367545i 0.990564 0.137052i \(-0.0437626\pi\)
−0.863355 + 0.504596i \(0.831641\pi\)
\(18\) −0.132995 2.79191i −0.0313472 0.658060i
\(19\) −2.69452 + 7.78530i −0.618165 + 1.78607i −2.92877e−5 1.00000i \(0.500009\pi\)
−0.618136 + 0.786071i \(0.712112\pi\)
\(20\) 0.565381 + 0.166011i 0.126423 + 0.0371212i
\(21\) 1.64761 + 2.07011i 0.359539 + 0.451736i
\(22\) 8.56154i 1.82533i
\(23\) 4.54332 1.53566i 0.947348 0.320206i
\(24\) −9.22846 5.32805i −1.88375 1.08758i
\(25\) −2.89432 4.06451i −0.578865 0.812902i
\(26\) 14.2970 3.46840i 2.80386 0.680210i
\(27\) −0.755750 + 0.654861i −0.145444 + 0.126028i
\(28\) 15.2999 1.55119i 2.89140 0.293147i
\(29\) 2.32069 2.67822i 0.430942 0.497334i −0.498197 0.867064i \(-0.666004\pi\)
0.929139 + 0.369730i \(0.120550\pi\)
\(30\) −0.105313 0.263059i −0.0192274 0.0480278i
\(31\) 4.80214 + 1.16499i 0.862490 + 0.209238i 0.642520 0.766269i \(-0.277889\pi\)
0.219970 + 0.975507i \(0.429404\pi\)
\(32\) −26.1723 + 13.4928i −4.62665 + 2.38520i
\(33\) −2.40774 + 1.89347i −0.419134 + 0.329611i
\(34\) −1.86199 4.07720i −0.319329 0.699234i
\(35\) 0.226483 + 0.143690i 0.0382826 + 0.0242880i
\(36\) 0.827198 + 5.75329i 0.137866 + 0.958882i
\(37\) −2.77761 0.132314i −0.456637 0.0217523i −0.181996 0.983299i \(-0.558256\pi\)
−0.274641 + 0.961547i \(0.588559\pi\)
\(38\) 5.42882 22.3779i 0.880671 3.63017i
\(39\) −4.13733 3.25363i −0.662502 0.520998i
\(40\) −1.06076 0.204445i −0.167721 0.0323256i
\(41\) 1.21272 + 1.88703i 0.189395 + 0.294705i 0.922946 0.384930i \(-0.125775\pi\)
−0.733550 + 0.679635i \(0.762138\pi\)
\(42\) −5.13436 5.32217i −0.792249 0.821229i
\(43\) −2.33410 + 7.94921i −0.355947 + 1.21224i 0.565830 + 0.824522i \(0.308556\pi\)
−0.921777 + 0.387721i \(0.873262\pi\)
\(44\) 1.69238 + 17.7234i 0.255136 + 2.67190i
\(45\) −0.0506886 + 0.0877951i −0.00755620 + 0.0130877i
\(46\) −12.2334 + 5.47995i −1.80372 + 0.807975i
\(47\) 1.46454 0.845553i 0.213625 0.123337i −0.389370 0.921081i \(-0.627307\pi\)
0.602995 + 0.797745i \(0.293974\pi\)
\(48\) 16.5187 + 7.54382i 2.38426 + 1.08886i
\(49\) 6.88851 + 1.24438i 0.984072 + 0.177769i
\(50\) 9.13312 + 10.5402i 1.29162 + 1.49061i
\(51\) −0.734823 + 1.42536i −0.102896 + 0.199590i
\(52\) −28.9108 + 10.0061i −4.00920 + 1.38760i
\(53\) −3.97193 + 5.05072i −0.545586 + 0.693769i −0.978166 0.207827i \(-0.933361\pi\)
0.432580 + 0.901596i \(0.357603\pi\)
\(54\) 1.92882 2.02289i 0.262480 0.275281i
\(55\) −0.167883 + 0.261231i −0.0226373 + 0.0352244i
\(56\) −27.6523 + 5.49723i −3.69519 + 0.734599i
\(57\) −7.49392 + 3.42236i −0.992594 + 0.453303i
\(58\) −5.74557 + 8.06853i −0.754431 + 1.05945i
\(59\) −2.85216 + 7.12436i −0.371320 + 0.927513i 0.618577 + 0.785724i \(0.287710\pi\)
−0.989897 + 0.141789i \(0.954715\pi\)
\(60\) 0.270010 + 0.523746i 0.0348581 + 0.0676153i
\(61\) 5.20658 + 4.96446i 0.666634 + 0.635634i 0.945854 0.324593i \(-0.105227\pi\)
−0.279220 + 0.960227i \(0.590076\pi\)
\(62\) −13.6711 1.96561i −1.73623 0.249632i
\(63\) −0.361228 + 2.62098i −0.0455104 + 0.330212i
\(64\) 38.6836 24.8604i 4.83545 3.10755i
\(65\) −0.504243 0.174520i −0.0625436 0.0216466i
\(66\) 6.19628 5.90814i 0.762709 0.727242i
\(67\) −2.83994 + 2.02232i −0.346954 + 0.247065i −0.740227 0.672357i \(-0.765282\pi\)
0.393273 + 0.919422i \(0.371343\pi\)
\(68\) 4.66049 + 8.07221i 0.565168 + 0.978900i
\(69\) 4.24666 + 2.22843i 0.511237 + 0.268272i
\(70\) −0.668347 0.339631i −0.0798828 0.0405937i
\(71\) 2.38473 5.22184i 0.283016 0.619718i −0.713722 0.700429i \(-0.752992\pi\)
0.996738 + 0.0807113i \(0.0257192\pi\)
\(72\) −2.51227 10.3557i −0.296074 1.22043i
\(73\) −1.33979 6.95147i −0.156810 0.813608i −0.972102 0.234558i \(-0.924636\pi\)
0.815292 0.579050i \(-0.196576\pi\)
\(74\) 7.76365 0.369828i 0.902505 0.0429916i
\(75\) 0.944311 4.89955i 0.109040 0.565752i
\(76\) −6.81480 + 47.3980i −0.781711 + 5.43692i
\(77\) −1.48722 + 7.96651i −0.169484 + 0.907869i
\(78\) 12.3762 + 7.95372i 1.40133 + 0.900582i
\(79\) 2.21869 + 2.82129i 0.249622 + 0.317420i 0.894675 0.446718i \(-0.147407\pi\)
−0.645053 + 0.764138i \(0.723165\pi\)
\(80\) 1.83264 + 0.174996i 0.204896 + 0.0195652i
\(81\) −0.995472 0.0950560i −0.110608 0.0105618i
\(82\) −3.87566 4.92831i −0.427995 0.544240i
\(83\) −1.82142 1.17056i −0.199927 0.128485i 0.436847 0.899536i \(-0.356095\pi\)
−0.636774 + 0.771050i \(0.719732\pi\)
\(84\) 11.6808 + 10.0026i 1.27448 + 1.09137i
\(85\) −0.0231362 + 0.160916i −0.00250948 + 0.0174538i
\(86\) 4.38243 22.7382i 0.472569 2.45192i
\(87\) 3.53978 0.168621i 0.379505 0.0180780i
\(88\) −6.17725 32.0506i −0.658497 3.41661i
\(89\) −0.298459 1.23026i −0.0316366 0.130408i 0.953803 0.300432i \(-0.0971307\pi\)
−0.985440 + 0.170024i \(0.945616\pi\)
\(90\) 0.117711 0.257750i 0.0124078 0.0271693i
\(91\) −13.9058 + 0.743841i −1.45773 + 0.0779757i
\(92\) 24.2414 13.7623i 2.52734 1.43482i
\(93\) 2.47072 + 4.27941i 0.256201 + 0.443754i
\(94\) −3.85031 + 2.74180i −0.397130 + 0.282795i
\(95\) −0.604453 + 0.576344i −0.0620155 + 0.0591317i
\(96\) −27.8261 9.63071i −2.83999 0.982930i
\(97\) −3.47143 + 2.23095i −0.352470 + 0.226519i −0.704879 0.709327i \(-0.748999\pi\)
0.352409 + 0.935846i \(0.385363\pi\)
\(98\) −19.4973 1.63219i −1.96953 0.164876i
\(99\) −3.03190 0.435922i −0.304718 0.0438118i
\(100\) −20.9901 20.0140i −2.09901 2.00140i
\(101\) −0.453265 0.879211i −0.0451015 0.0874848i 0.865208 0.501414i \(-0.167187\pi\)
−0.910309 + 0.413929i \(0.864156\pi\)
\(102\) 1.66588 4.16118i 0.164947 0.412018i
\(103\) 1.36324 1.91440i 0.134324 0.188631i −0.741935 0.670471i \(-0.766092\pi\)
0.876259 + 0.481840i \(0.160031\pi\)
\(104\) 51.0190 23.2996i 5.00282 2.28471i
\(105\) 0.0522981 + 0.263071i 0.00510377 + 0.0256731i
\(106\) 9.70965 15.1085i 0.943085 1.46747i
\(107\) 7.01864 7.36094i 0.678518 0.711609i −0.290975 0.956731i \(-0.593980\pi\)
0.969492 + 0.245122i \(0.0788280\pi\)
\(108\) −3.59302 + 4.56890i −0.345739 + 0.439642i
\(109\) 7.06367 2.44476i 0.676577 0.234166i 0.0328953 0.999459i \(-0.489527\pi\)
0.643682 + 0.765293i \(0.277406\pi\)
\(110\) 0.397715 0.771460i 0.0379206 0.0735558i
\(111\) −1.82101 2.10156i −0.172843 0.199471i
\(112\) 46.0200 13.8052i 4.34849 1.30447i
\(113\) −9.84277 4.49504i −0.925930 0.422858i −0.105380 0.994432i \(-0.533606\pi\)
−0.820551 + 0.571574i \(0.806333\pi\)
\(114\) 19.9420 11.5135i 1.86774 1.07834i
\(115\) 0.480724 + 0.0726797i 0.0448278 + 0.00677742i
\(116\) 10.2991 17.8385i 0.956246 1.65627i
\(117\) −0.500320 5.23958i −0.0462546 0.484400i
\(118\) 6.04306 20.5808i 0.556308 1.89461i
\(119\) 1.02434 + 4.11728i 0.0939011 + 0.377430i
\(120\) −0.584046 0.908793i −0.0533159 0.0829611i
\(121\) 1.58832 + 0.306123i 0.144392 + 0.0278293i
\(122\) −15.8059 12.4299i −1.43100 1.12535i
\(123\) −0.528835 + 2.17989i −0.0476834 + 0.196554i
\(124\) 28.6893 + 1.36664i 2.57638 + 0.122728i
\(125\) −0.144126 1.00242i −0.0128911 0.0896593i
\(126\) 0.308724 7.38863i 0.0275033 0.658232i
\(127\) −4.35017 9.52555i −0.386015 0.845255i −0.998499 0.0547722i \(-0.982557\pi\)
0.612484 0.790483i \(-0.290171\pi\)
\(128\) −54.7373 + 43.0459i −4.83814 + 3.80475i
\(129\) −7.36383 + 3.79632i −0.648349 + 0.334247i
\(130\) 1.44938 + 0.351617i 0.127119 + 0.0308388i
\(131\) 6.71816 + 16.7812i 0.586969 + 1.46618i 0.863088 + 0.505053i \(0.168527\pi\)
−0.276120 + 0.961123i \(0.589049\pi\)
\(132\) −11.6591 + 13.4554i −1.01480 + 1.17114i
\(133\) −8.93876 + 19.8796i −0.775088 + 1.72378i
\(134\) 7.36461 6.38147i 0.636206 0.551275i
\(135\) −0.0985194 + 0.0239006i −0.00847920 + 0.00205703i
\(136\) −9.91223 13.9198i −0.849967 1.19361i
\(137\) 10.7247 + 6.19189i 0.916271 + 0.529009i 0.882443 0.470419i \(-0.155897\pi\)
0.0338273 + 0.999428i \(0.489230\pi\)
\(138\) −12.4081 5.07214i −1.05624 0.431770i
\(139\) 9.09357i 0.771307i −0.922644 0.385653i \(-0.873976\pi\)
0.922644 0.385653i \(-0.126024\pi\)
\(140\) 1.45069 + 0.570962i 0.122606 + 0.0482551i
\(141\) 1.62260 + 0.476440i 0.136648 + 0.0401235i
\(142\) −5.24795 + 15.1629i −0.440398 + 1.27245i
\(143\) −0.767128 16.1040i −0.0641505 1.34668i
\(144\) 5.93946 + 17.1609i 0.494955 + 1.43008i
\(145\) 0.333525 0.133523i 0.0276978 0.0110885i
\(146\) 5.57477 + 18.9859i 0.461372 + 1.57129i
\(147\) 3.85301 + 5.84417i 0.317791 + 0.482019i
\(148\) −15.9985 + 2.30024i −1.31507 + 0.189079i
\(149\) 8.32145 + 5.92568i 0.681720 + 0.485450i 0.867691 0.497105i \(-0.165604\pi\)
−0.185971 + 0.982555i \(0.559543\pi\)
\(150\) −1.32571 + 13.8835i −0.108244 + 1.13358i
\(151\) 11.1494 + 4.46354i 0.907325 + 0.363238i 0.777927 0.628355i \(-0.216271\pi\)
0.129398 + 0.991593i \(0.458696\pi\)
\(152\) 4.17718 87.6899i 0.338814 7.11259i
\(153\) −1.53867 + 0.451793i −0.124394 + 0.0365253i
\(154\) 2.02145 22.5613i 0.162893 1.81804i
\(155\) 0.378591 + 0.328051i 0.0304092 + 0.0263497i
\(156\) −27.1925 14.0187i −2.17714 1.12239i
\(157\) 0.638630 0.123086i 0.0509682 0.00982331i −0.163703 0.986510i \(-0.552344\pi\)
0.214672 + 0.976686i \(0.431132\pi\)
\(158\) −6.92291 7.26054i −0.550757 0.577618i
\(159\) −6.39632 + 0.610774i −0.507261 + 0.0484375i
\(160\) −2.98511 −0.235994
\(161\) 12.3351 2.97404i 0.972143 0.234387i
\(162\) 2.79508 0.219602
\(163\) 5.43931 0.519391i 0.426040 0.0406819i 0.120166 0.992754i \(-0.461657\pi\)
0.305874 + 0.952072i \(0.401051\pi\)
\(164\) 8.99726 + 9.43606i 0.702568 + 0.736832i
\(165\) −0.304914 + 0.0587674i −0.0237376 + 0.00457504i
\(166\) 5.37897 + 2.77305i 0.417489 + 0.215231i
\(167\) 12.5735 + 10.8950i 0.972966 + 0.843080i 0.987628 0.156813i \(-0.0501219\pi\)
−0.0146625 + 0.999892i \(0.504667\pi\)
\(168\) −23.0608 16.2194i −1.77918 1.25135i
\(169\) 14.1080 4.14247i 1.08523 0.318652i
\(170\) 0.0216211 0.453883i 0.00165826 0.0348112i
\(171\) −7.64828 3.06191i −0.584878 0.234150i
\(172\) −4.57743 + 47.9370i −0.349026 + 3.65516i
\(173\) 2.87192 + 2.04508i 0.218348 + 0.155485i 0.683997 0.729484i \(-0.260240\pi\)
−0.465650 + 0.884969i \(0.654179\pi\)
\(174\) −9.80437 + 1.40966i −0.743267 + 0.106866i
\(175\) −6.66744 11.3941i −0.504011 0.861316i
\(176\) 15.6713 + 53.3715i 1.18127 + 4.02302i
\(177\) −7.12436 + 2.85216i −0.535500 + 0.214382i
\(178\) 1.15731 + 3.34381i 0.0867437 + 0.250629i
\(179\) −0.691159 14.5092i −0.0516597 1.08447i −0.864708 0.502274i \(-0.832497\pi\)
0.813049 0.582196i \(-0.197806\pi\)
\(180\) −0.192725 + 0.556842i −0.0143649 + 0.0415045i
\(181\) −20.9100 6.13972i −1.55423 0.456362i −0.611865 0.790962i \(-0.709581\pi\)
−0.942360 + 0.334600i \(0.891399\pi\)
\(182\) 38.4942 5.76430i 2.85338 0.427278i
\(183\) 7.19405i 0.531799i
\(184\) −41.8427 + 29.3411i −3.08468 + 2.16305i
\(185\) −0.244138 0.140953i −0.0179494 0.0103631i
\(186\) −8.01156 11.2507i −0.587436 0.824939i
\(187\) −4.77356 + 1.15805i −0.349077 + 0.0846853i
\(188\) 7.42862 6.43694i 0.541788 0.469462i
\(189\) −2.14617 + 1.54725i −0.156111 + 0.112546i
\(190\) 1.52871 1.76423i 0.110904 0.127991i
\(191\) −4.85720 12.1327i −0.351454 0.877891i −0.993770 0.111451i \(-0.964450\pi\)
0.642315 0.766440i \(-0.277974\pi\)
\(192\) 44.6871 + 10.8410i 3.22501 + 0.782379i
\(193\) −12.7422 + 6.56905i −0.917202 + 0.472850i −0.851124 0.524964i \(-0.824079\pi\)
−0.0660774 + 0.997814i \(0.521048\pi\)
\(194\) 9.06624 7.12977i 0.650918 0.511888i
\(195\) −0.221661 0.485370i −0.0158735 0.0347581i
\(196\) 40.6844 0.475262i 2.90603 0.0339473i
\(197\) 0.667397 + 4.64185i 0.0475501 + 0.330718i 0.999686 + 0.0250441i \(0.00797262\pi\)
−0.952136 + 0.305674i \(0.901118\pi\)
\(198\) 8.55184 + 0.407375i 0.607753 + 0.0289508i
\(199\) 1.10332 4.54794i 0.0782122 0.322395i −0.919243 0.393691i \(-0.871198\pi\)
0.997455 + 0.0712954i \(0.0227133\pi\)
\(200\) 41.7952 + 32.8681i 2.95537 + 2.32413i
\(201\) −3.42340 0.659807i −0.241468 0.0465392i
\(202\) 1.49477 + 2.32591i 0.105172 + 0.163650i
\(203\) 6.74783 6.50971i 0.473605 0.456892i
\(204\) −2.62603 + 8.94342i −0.183859 + 0.626165i
\(205\) 0.0216158 + 0.226371i 0.00150971 + 0.0158104i
\(206\) −3.28447 + 5.68886i −0.228840 + 0.396362i
\(207\) 1.31774 + 4.61124i 0.0915890 + 0.320504i
\(208\) −82.7766 + 47.7911i −5.73952 + 3.31371i
\(209\) −22.9545 10.4830i −1.58779 0.725121i
\(210\) −0.215410 0.718078i −0.0148647 0.0495521i
\(211\) −7.96963 9.19745i −0.548652 0.633178i 0.411916 0.911222i \(-0.364860\pi\)
−0.960569 + 0.278043i \(0.910314\pi\)
\(212\) −17.1136 + 33.1957i −1.17537 + 2.27989i
\(213\) 5.42488 1.87757i 0.371706 0.128649i
\(214\) −17.5731 + 22.3460i −1.20127 + 1.52754i
\(215\) −0.579590 + 0.607857i −0.0395277 + 0.0414555i
\(216\) 5.76112 8.96448i 0.391995 0.609956i
\(217\) 12.3795 + 4.20379i 0.840376 + 0.285372i
\(218\) −19.0046 + 8.67909i −1.28715 + 0.587822i
\(219\) 4.10646 5.76671i 0.277489 0.389678i
\(220\) −0.670820 + 1.67563i −0.0452267 + 0.112971i
\(221\) −3.86768 7.50225i −0.260168 0.504656i
\(222\) 5.62519 + 5.36360i 0.377538 + 0.359982i
\(223\) 5.59472 + 0.804400i 0.374650 + 0.0538666i 0.327068 0.945001i \(-0.393939\pi\)
0.0475822 + 0.998867i \(0.484848\pi\)
\(224\) −72.1548 + 29.3766i −4.82105 + 1.96280i
\(225\) 4.19762 2.69765i 0.279841 0.179843i
\(226\) 28.5810 + 9.89199i 1.90118 + 0.658005i
\(227\) 16.0970 15.3485i 1.06840 1.01871i 0.0686173 0.997643i \(-0.478141\pi\)
0.999778 0.0210698i \(-0.00670722\pi\)
\(228\) −39.0063 + 27.7762i −2.58325 + 1.83953i
\(229\) 6.83760 + 11.8431i 0.451841 + 0.782612i 0.998500 0.0547434i \(-0.0174341\pi\)
−0.546659 + 0.837355i \(0.684101\pi\)
\(230\) −1.35689 0.0745023i −0.0894705 0.00491254i
\(231\) −6.79193 + 4.42118i −0.446876 + 0.290892i
\(232\) −15.6873 + 34.3505i −1.02992 + 2.25522i
\(233\) −1.40989 5.81163i −0.0923647 0.380733i 0.906802 0.421558i \(-0.138517\pi\)
−0.999166 + 0.0408251i \(0.987001\pi\)
\(234\) 2.78420 + 14.4458i 0.182009 + 0.944351i
\(235\) 0.171245 0.00815742i 0.0111708 0.000532131i
\(236\) −8.44159 + 43.7991i −0.549501 + 2.85108i
\(237\) −0.510795 + 3.55266i −0.0331797 + 0.230770i
\(238\) −3.94406 11.1838i −0.255655 0.724941i
\(239\) −22.2794 14.3181i −1.44113 0.926160i −0.999582 0.0289246i \(-0.990792\pi\)
−0.441552 0.897236i \(-0.645572\pi\)
\(240\) 1.13802 + 1.44711i 0.0734587 + 0.0934104i
\(241\) 11.4158 + 1.09007i 0.735355 + 0.0702179i 0.456012 0.889974i \(-0.349277\pi\)
0.279343 + 0.960191i \(0.409883\pi\)
\(242\) −4.50070 0.429764i −0.289316 0.0276263i
\(243\) −0.618159 0.786053i −0.0396549 0.0504253i
\(244\) 35.1771 + 22.6069i 2.25198 + 1.44726i
\(245\) 0.562900 + 0.432124i 0.0359624 + 0.0276074i
\(246\) 0.892269 6.20587i 0.0568890 0.395672i
\(247\) 8.20635 42.5786i 0.522157 2.70921i
\(248\) −52.5968 + 2.50549i −3.33990 + 0.159099i
\(249\) −0.409754 2.12600i −0.0259671 0.134730i
\(250\) 0.667352 + 2.75086i 0.0422071 + 0.173980i
\(251\) 6.78400 14.8549i 0.428202 0.937632i −0.565413 0.824808i \(-0.691283\pi\)
0.993615 0.112824i \(-0.0359895\pi\)
\(252\) 0.821433 + 15.3564i 0.0517454 + 0.967359i
\(253\) 3.35968 + 14.3007i 0.211222 + 0.899075i
\(254\) 14.6348 + 25.3483i 0.918271 + 1.59049i
\(255\) −0.132426 + 0.0943003i −0.00829285 + 0.00590531i
\(256\) 74.3059 70.8506i 4.64412 4.42816i
\(257\) 13.0686 + 4.52309i 0.815197 + 0.282142i 0.702679 0.711507i \(-0.251987\pi\)
0.112518 + 0.993650i \(0.464108\pi\)
\(258\) 19.4806 12.5194i 1.21281 0.779426i
\(259\) −7.28832 1.00449i −0.452874 0.0624159i
\(260\) −3.06990 0.441385i −0.190387 0.0273735i
\(261\) 2.56477 + 2.44550i 0.158755 + 0.151373i
\(262\) −23.1513 44.9073i −1.43029 2.77438i
\(263\) 0.0733946 0.183331i 0.00452571 0.0113047i −0.926088 0.377308i \(-0.876850\pi\)
0.930614 + 0.366003i \(0.119274\pi\)
\(264\) 18.9333 26.5882i 1.16527 1.63639i
\(265\) −0.592525 + 0.270597i −0.0363985 + 0.0166226i
\(266\) 19.5896 57.6883i 1.20111 3.53710i
\(267\) 0.684424 1.06498i 0.0418861 0.0651760i
\(268\) −13.9842 + 14.6662i −0.854219 + 0.895879i
\(269\) 7.13056 9.06725i 0.434758 0.552840i −0.518468 0.855097i \(-0.673498\pi\)
0.953227 + 0.302257i \(0.0977400\pi\)
\(270\) 0.267772 0.0926769i 0.0162961 0.00564014i
\(271\) 8.40748 16.3082i 0.510718 0.990655i −0.482665 0.875805i \(-0.660331\pi\)
0.993383 0.114850i \(-0.0366387\pi\)
\(272\) 19.0704 + 22.0084i 1.15631 + 1.33446i
\(273\) −10.1345 9.55080i −0.613365 0.578041i
\(274\) −31.4857 14.3790i −1.90212 0.868669i
\(275\) 13.2363 7.64196i 0.798176 0.460827i
\(276\) 26.6887 + 8.04720i 1.60647 + 0.484385i
\(277\) 9.47911 16.4183i 0.569544 0.986480i −0.427066 0.904220i \(-0.640453\pi\)
0.996611 0.0822597i \(-0.0262137\pi\)
\(278\) 2.41606 + 25.3021i 0.144906 + 1.51752i
\(279\) −1.39216 + 4.74127i −0.0833466 + 0.283852i
\(280\) −2.74705 0.789207i −0.164167 0.0471642i
\(281\) −6.76402 10.5250i −0.403508 0.627870i 0.578728 0.815520i \(-0.303549\pi\)
−0.982236 + 0.187650i \(0.939913\pi\)
\(282\) −4.64135 0.894547i −0.276388 0.0532695i
\(283\) 15.7961 + 12.4222i 0.938983 + 0.738424i 0.965277 0.261230i \(-0.0841281\pi\)
−0.0262938 + 0.999654i \(0.508371\pi\)
\(284\) 7.86657 32.4264i 0.466795 1.92415i
\(285\) −0.834240 0.0397398i −0.0494161 0.00235398i
\(286\) 6.41313 + 44.6043i 0.379216 + 2.63751i
\(287\) 2.75021 + 5.25903i 0.162340 + 0.310430i
\(288\) −12.2321 26.7847i −0.720786 1.57830i
\(289\) 11.3415 8.91904i 0.667146 0.524649i
\(290\) −0.892532 + 0.460132i −0.0524113 + 0.0270199i
\(291\) −4.01018 0.972859i −0.235081 0.0570300i
\(292\) −15.2934 38.2011i −0.894980 2.23555i
\(293\) −4.98989 + 5.75864i −0.291512 + 0.336423i −0.882548 0.470222i \(-0.844174\pi\)
0.591036 + 0.806645i \(0.298719\pi\)
\(294\) −12.2734 15.2372i −0.715801 0.888653i
\(295\) −0.587954 + 0.509465i −0.0342320 + 0.0296622i
\(296\) 28.7968 6.98603i 1.67378 0.406055i
\(297\) −1.77676 2.49511i −0.103098 0.144781i
\(298\) −24.7282 14.2768i −1.43246 0.827033i
\(299\) −22.5197 + 11.4038i −1.30235 + 0.659496i
\(300\) 29.0025i 1.67446i
\(301\) −8.02768 + 20.3966i −0.462708 + 1.17564i
\(302\) −32.2082 9.45718i −1.85337 0.544200i
\(303\) 0.323526 0.934768i 0.0185861 0.0537010i
\(304\) 7.11860 + 149.438i 0.408279 + 8.57084i
\(305\) 0.238534 + 0.689200i 0.0136584 + 0.0394635i
\(306\) 4.16118 1.66588i 0.237879 0.0952323i
\(307\) −7.04829 24.0043i −0.402267 1.37000i −0.873000 0.487721i \(-0.837828\pi\)
0.470733 0.882276i \(-0.343990\pi\)
\(308\) 0.275118 + 47.1042i 0.0156763 + 2.68401i
\(309\) 2.32626 0.334466i 0.132336 0.0190271i
\(310\) −1.14056 0.812189i −0.0647794 0.0461292i
\(311\) −1.74184 + 18.2413i −0.0987705 + 1.03437i 0.801193 + 0.598406i \(0.204199\pi\)
−0.899963 + 0.435965i \(0.856407\pi\)
\(312\) 52.0698 + 20.8456i 2.94787 + 1.18015i
\(313\) 0.276195 5.79804i 0.0156115 0.327725i −0.977529 0.210800i \(-0.932393\pi\)
0.993141 0.116925i \(-0.0373037\pi\)
\(314\) −1.74423 + 0.512153i −0.0984328 + 0.0289025i
\(315\) −0.154303 + 0.219389i −0.00869401 + 0.0123612i
\(316\) 15.7664 + 13.6617i 0.886932 + 0.768531i
\(317\) −0.206208 0.106308i −0.0115818 0.00597083i 0.452426 0.891802i \(-0.350559\pi\)
−0.464008 + 0.885831i \(0.653589\pi\)
\(318\) 17.6350 3.39886i 0.988920 0.190599i
\(319\) 7.49076 + 7.85609i 0.419402 + 0.439856i
\(320\) 4.64054 0.443118i 0.259414 0.0247710i
\(321\) 10.1708 0.567677
\(322\) −33.5313 + 11.5523i −1.86863 + 0.643786i
\(323\) −13.2113 −0.735097
\(324\) −5.78613 + 0.552509i −0.321452 + 0.0306949i
\(325\) 18.1235 + 19.0074i 1.00531 + 1.05434i
\(326\) −14.9965 + 2.89033i −0.830577 + 0.160081i
\(327\) 6.64385 + 3.42514i 0.367406 + 0.189411i
\(328\) −18.0646 15.6531i −0.997450 0.864296i
\(329\) 4.05899 1.88241i 0.223779 0.103780i
\(330\) 0.832786 0.244528i 0.0458434 0.0134608i
\(331\) 0.887759 18.6363i 0.0487956 1.02435i −0.833165 0.553024i \(-0.813474\pi\)
0.881961 0.471322i \(-0.156223\pi\)
\(332\) −11.6833 4.67727i −0.641202 0.256699i
\(333\) 0.264328 2.76817i 0.0144851 0.151695i
\(334\) −37.8794 26.9738i −2.07267 1.47594i
\(335\) −0.349844 + 0.0503000i −0.0191140 + 0.00274818i
\(336\) 41.7487 + 23.7796i 2.27758 + 1.29728i
\(337\) 2.23867 + 7.62420i 0.121948 + 0.415317i 0.997726 0.0673970i \(-0.0214694\pi\)
−0.875778 + 0.482714i \(0.839651\pi\)
\(338\) −38.1537 + 15.2744i −2.07529 + 0.830819i
\(339\) −3.53908 10.2255i −0.192216 0.555372i
\(340\) 0.0449618 + 0.943864i 0.00243840 + 0.0511882i
\(341\) −4.95050 + 14.3035i −0.268085 + 0.774580i
\(342\) 22.0942 + 6.48745i 1.19472 + 0.350801i
\(343\) 17.8588 + 4.90561i 0.964282 + 0.264878i
\(344\) 88.2837i 4.75994i
\(345\) 0.279137 + 0.398071i 0.0150282 + 0.0214314i
\(346\) −8.53424 4.92724i −0.458803 0.264890i
\(347\) −5.37094 7.54243i −0.288327 0.404899i 0.644854 0.764306i \(-0.276918\pi\)
−0.933181 + 0.359407i \(0.882979\pi\)
\(348\) 20.0175 4.85620i 1.07305 0.260320i
\(349\) 0.382607 0.331531i 0.0204805 0.0177464i −0.644560 0.764553i \(-0.722960\pi\)
0.665041 + 0.746807i \(0.268414\pi\)
\(350\) 21.5789 + 29.9318i 1.15344 + 1.59992i
\(351\) 3.44681 3.97783i 0.183977 0.212321i
\(352\) −33.5218 83.7334i −1.78672 4.46300i
\(353\) −11.6122 2.81710i −0.618057 0.149939i −0.0855069 0.996338i \(-0.527251\pi\)
−0.532550 + 0.846399i \(0.678766\pi\)
\(354\) 19.0652 9.82878i 1.01330 0.522394i
\(355\) 0.457456 0.359747i 0.0242792 0.0190934i
\(356\) −3.05674 6.69332i −0.162007 0.354745i
\(357\) −2.27294 + 3.58260i −0.120297 + 0.189611i
\(358\) 5.77803 + 40.1871i 0.305379 + 2.12396i
\(359\) −16.8136 0.800929i −0.887386 0.0422714i −0.401063 0.916050i \(-0.631359\pi\)
−0.486323 + 0.873779i \(0.661662\pi\)
\(360\) 0.254687 1.04983i 0.0134232 0.0553311i
\(361\) −38.4155 30.2103i −2.02187 1.59002i
\(362\) 59.8116 + 11.5277i 3.14363 + 0.605884i
\(363\) 0.874512 + 1.36077i 0.0459000 + 0.0714218i
\(364\) −78.5480 + 19.5420i −4.11703 + 1.02428i
\(365\) 0.202196 0.688618i 0.0105834 0.0360439i
\(366\) −1.91138 20.0169i −0.0999093 1.04630i
\(367\) 1.54089 2.66890i 0.0804339 0.139316i −0.823002 0.568038i \(-0.807703\pi\)
0.903436 + 0.428722i \(0.141036\pi\)
\(368\) 66.2308 56.5536i 3.45252 2.94806i
\(369\) −1.94260 + 1.12156i −0.101128 + 0.0583860i
\(370\) 0.716743 + 0.327326i 0.0372617 + 0.0170168i
\(371\) −11.6593 + 12.3718i −0.605321 + 0.642313i
\(372\) 18.8088 + 21.7065i 0.975191 + 1.12543i
\(373\) 7.57412 14.6917i 0.392173 0.760709i −0.607256 0.794506i \(-0.707730\pi\)
0.999429 + 0.0337971i \(0.0107600\pi\)
\(374\) 12.9744 4.49048i 0.670889 0.232197i
\(375\) 0.626028 0.796059i 0.0323279 0.0411083i
\(376\) −12.4356 + 13.0421i −0.641319 + 0.672596i
\(377\) −10.0843 + 15.6915i −0.519368 + 0.808152i
\(378\) 5.56045 4.87531i 0.285999 0.250759i
\(379\) 19.3227 8.82438i 0.992541 0.453278i 0.148126 0.988968i \(-0.452676\pi\)
0.844415 + 0.535690i \(0.179949\pi\)
\(380\) −2.81588 + 3.95434i −0.144451 + 0.202854i
\(381\) 3.89200 9.72175i 0.199393 0.498060i
\(382\) 16.7383 + 32.4678i 0.856405 + 1.66119i
\(383\) 20.4970 + 19.5439i 1.04735 + 0.998645i 1.00000 0.000233539i \(-7.43379e-5\pi\)
0.0473486 + 0.998878i \(0.484923\pi\)
\(384\) −68.9268 9.91017i −3.51740 0.505726i
\(385\) −0.504083 + 0.648757i −0.0256905 + 0.0330637i
\(386\) 33.7088 21.6633i 1.71573 1.10263i
\(387\) −7.82915 2.70969i −0.397978 0.137741i
\(388\) −17.3588 + 16.5516i −0.881260 + 0.840280i
\(389\) 10.7000 7.61947i 0.542514 0.386322i −0.275693 0.961246i \(-0.588907\pi\)
0.818207 + 0.574923i \(0.194968\pi\)
\(390\) 0.745712 + 1.29161i 0.0377606 + 0.0654033i
\(391\) 4.71012 + 6.07962i 0.238201 + 0.307460i
\(392\) −74.1671 + 7.95737i −3.74600 + 0.401908i
\(393\) −7.50903 + 16.4425i −0.378781 + 0.829414i
\(394\) −3.09027 12.7383i −0.155685 0.641744i
\(395\) 0.0688613 + 0.357286i 0.00346479 + 0.0179770i
\(396\) −17.7838 + 0.847149i −0.893672 + 0.0425708i
\(397\) 0.755094 3.91780i 0.0378971 0.196629i −0.958046 0.286615i \(-0.907470\pi\)
0.995943 + 0.0899858i \(0.0286822\pi\)
\(398\) −1.86156 + 12.9474i −0.0933116 + 0.648996i
\(399\) −20.5560 + 7.24921i −1.02909 + 0.362914i
\(400\) −76.2276 48.9885i −3.81138 2.44943i
\(401\) 22.0255 + 28.0077i 1.09990 + 1.39864i 0.908884 + 0.417048i \(0.136935\pi\)
0.191015 + 0.981587i \(0.438822\pi\)
\(402\) 9.70065 + 0.926300i 0.483825 + 0.0461997i
\(403\) −25.8910 2.47230i −1.28972 0.123154i
\(404\) −3.55412 4.51943i −0.176824 0.224850i
\(405\) −0.0852838 0.0548086i −0.00423779 0.00272346i
\(406\) −17.0457 + 19.9056i −0.845966 + 0.987897i
\(407\) 1.21220 8.43100i 0.0600863 0.417909i
\(408\) 3.23400 16.7796i 0.160107 0.830712i
\(409\) −10.0747 + 0.479916i −0.498160 + 0.0237303i −0.295159 0.955448i \(-0.595373\pi\)
−0.203001 + 0.979178i \(0.565070\pi\)
\(410\) −0.120289 0.624116i −0.00594063 0.0308229i
\(411\) 2.91959 + 12.0347i 0.144013 + 0.593628i
\(412\) 5.67470 12.4259i 0.279572 0.612178i
\(413\) −9.19813 + 18.1007i −0.452610 + 0.890676i
\(414\) −4.89165 12.4803i −0.240412 0.613374i
\(415\) −0.109747 0.190088i −0.00538729 0.00933105i
\(416\) 126.247 89.8998i 6.18975 4.40770i
\(417\) 6.58133 6.27528i 0.322289 0.307302i
\(418\) 66.6542 + 23.0692i 3.26016 + 1.12835i
\(419\) −6.40955 + 4.11917i −0.313127 + 0.201235i −0.687759 0.725939i \(-0.741405\pi\)
0.374632 + 0.927174i \(0.377769\pi\)
\(420\) 0.587868 + 1.44392i 0.0286850 + 0.0704563i
\(421\) 2.93687 + 0.422258i 0.143134 + 0.0205796i 0.213510 0.976941i \(-0.431511\pi\)
−0.0703752 + 0.997521i \(0.522420\pi\)
\(422\) 24.6185 + 23.4737i 1.19841 + 1.14268i
\(423\) 0.774910 + 1.50311i 0.0376774 + 0.0730839i
\(424\) 25.4477 63.5652i 1.23585 3.08700i
\(425\) 4.64140 6.51794i 0.225141 0.316167i
\(426\) −14.5954 + 6.66551i −0.707151 + 0.322945i
\(427\) 12.5482 + 14.3116i 0.607250 + 0.692588i
\(428\) 31.9612 49.7325i 1.54490 2.40391i
\(429\) 11.1256 11.6682i 0.537151 0.563347i
\(430\) 1.45116 1.84530i 0.0699813 0.0889884i
\(431\) −29.8671 + 10.3371i −1.43865 + 0.497921i −0.931438 0.363900i \(-0.881445\pi\)
−0.507211 + 0.861822i \(0.669324\pi\)
\(432\) −8.32126 + 16.1410i −0.400357 + 0.776584i
\(433\) 14.2755 + 16.4748i 0.686036 + 0.791728i 0.986795 0.161972i \(-0.0517854\pi\)
−0.300759 + 0.953700i \(0.597240\pi\)
\(434\) −35.5619 8.40761i −1.70703 0.403578i
\(435\) 0.326794 + 0.149242i 0.0156686 + 0.00715561i
\(436\) 37.6260 21.7234i 1.80196 1.04036i
\(437\) −0.286517 + 39.5090i −0.0137060 + 1.88997i
\(438\) −9.89373 + 17.1365i −0.472741 + 0.818811i
\(439\) 0.842838 + 8.82660i 0.0402265 + 0.421271i 0.993045 + 0.117732i \(0.0375622\pi\)
−0.952819 + 0.303539i \(0.901832\pi\)
\(440\) 0.932252 3.17496i 0.0444434 0.151360i
\(441\) −1.57074 + 6.82149i −0.0747971 + 0.324833i
\(442\) 12.7548 + 19.8468i 0.606683 + 0.944017i
\(443\) −21.0508 4.05721i −1.00015 0.192764i −0.337208 0.941430i \(-0.609482\pi\)
−0.662947 + 0.748666i \(0.730695\pi\)
\(444\) −12.7050 9.99134i −0.602954 0.474168i
\(445\) 0.0302569 0.124721i 0.00143431 0.00591232i
\(446\) −15.7806 0.751722i −0.747233 0.0355951i
\(447\) 1.45384 + 10.1117i 0.0687644 + 0.478267i
\(448\) 107.809 56.3786i 5.09347 2.66364i
\(449\) 5.98687 + 13.1094i 0.282538 + 0.618672i 0.996688 0.0813209i \(-0.0259139\pi\)
−0.714150 + 0.699993i \(0.753187\pi\)
\(450\) −10.9628 + 8.62125i −0.516792 + 0.406410i
\(451\) −6.10705 + 3.14840i −0.287570 + 0.148253i
\(452\) −61.1214 14.8279i −2.87491 0.697445i
\(453\) 4.46354 + 11.1494i 0.209716 + 0.523844i
\(454\) −40.7107 + 46.9827i −1.91065 + 2.20501i
\(455\) −1.28757 0.578950i −0.0603624 0.0271416i
\(456\) 66.3468 57.4898i 3.10697 2.69221i
\(457\) −21.3406 + 5.17718i −0.998272 + 0.242178i −0.701422 0.712746i \(-0.747451\pi\)
−0.296850 + 0.954924i \(0.595936\pi\)
\(458\) −22.1716 31.1357i −1.03601 1.45488i
\(459\) −1.38878 0.801812i −0.0648226 0.0374254i
\(460\) 2.82364 0.113990i 0.131653 0.00531483i
\(461\) 32.2417i 1.50165i −0.660502 0.750824i \(-0.729657\pi\)
0.660502 0.750824i \(-0.270343\pi\)
\(462\) 17.7234 14.1061i 0.824565 0.656276i
\(463\) −7.15295 2.10029i −0.332426 0.0976090i 0.111260 0.993791i \(-0.464511\pi\)
−0.443686 + 0.896182i \(0.646329\pi\)
\(464\) 21.0483 60.8149i 0.977141 2.82326i
\(465\) 0.0238361 + 0.500381i 0.00110537 + 0.0232046i
\(466\) 5.46698 + 15.7958i 0.253253 + 0.731727i
\(467\) 36.9771 14.8034i 1.71110 0.685019i 0.711256 0.702934i \(-0.248127\pi\)
0.999840 + 0.0179144i \(0.00570262\pi\)
\(468\) −8.61915 29.3541i −0.398420 1.35689i
\(469\) −7.96129 + 4.65866i −0.367618 + 0.215117i
\(470\) −0.474309 + 0.0681953i −0.0218782 + 0.00314562i
\(471\) 0.529786 + 0.377259i 0.0244113 + 0.0173832i
\(472\) 7.77327 81.4054i 0.357794 3.74699i
\(473\) −23.5592 9.43168i −1.08325 0.433669i
\(474\) 0.477345 10.0207i 0.0219252 0.460266i
\(475\) 39.4422 11.5813i 1.80973 0.531386i
\(476\) 10.3754 + 22.3722i 0.475556 + 1.02543i
\(477\) −4.85600 4.20775i −0.222341 0.192660i
\(478\) 65.7948 + 33.9196i 3.00938 + 1.55144i
\(479\) −13.5169 + 2.60516i −0.617602 + 0.119033i −0.488450 0.872592i \(-0.662438\pi\)
−0.129152 + 0.991625i \(0.541225\pi\)
\(480\) −2.05996 2.16042i −0.0940239 0.0986095i
\(481\) 14.5700 1.39127i 0.664337 0.0634365i
\(482\) −32.0531 −1.45998
\(483\) 10.6646 + 6.87502i 0.485257 + 0.312824i
\(484\) 9.40192 0.427360
\(485\) −0.416438 + 0.0397650i −0.0189095 + 0.00180564i
\(486\) 1.92882 + 2.02289i 0.0874932 + 0.0917603i
\(487\) 22.8964 4.41292i 1.03753 0.199968i 0.358084 0.933690i \(-0.383430\pi\)
0.679451 + 0.733721i \(0.262218\pi\)
\(488\) −68.1386 35.1279i −3.08449 1.59016i
\(489\) 4.12946 + 3.57819i 0.186740 + 0.161812i
\(490\) −1.68104 1.05280i −0.0759415 0.0475605i
\(491\) 15.6267 4.58842i 0.705225 0.207073i 0.0905943 0.995888i \(-0.471123\pi\)
0.614630 + 0.788815i \(0.289305\pi\)
\(492\) −0.620374 + 13.0232i −0.0279686 + 0.587133i
\(493\) 5.27584 + 2.11213i 0.237612 + 0.0951254i
\(494\) −11.5209 + 120.652i −0.518348 + 5.42838i
\(495\) −0.252947 0.180123i −0.0113691 0.00809592i
\(496\) 88.8216 12.7706i 3.98821 0.573418i
\(497\) 7.51715 13.1975i 0.337190 0.591989i
\(498\) 1.70496 + 5.80657i 0.0764012 + 0.260199i
\(499\) 22.3012 8.92806i 0.998339 0.399675i 0.185804 0.982587i \(-0.440511\pi\)
0.812535 + 0.582912i \(0.198087\pi\)
\(500\) −1.92527 5.56269i −0.0861005 0.248771i
\(501\) 0.791626 + 16.6183i 0.0353672 + 0.742449i
\(502\) −14.9292 + 43.1350i −0.666321 + 1.92521i
\(503\) −40.0755 11.7672i −1.78688 0.524675i −0.790714 0.612186i \(-0.790290\pi\)
−0.996164 + 0.0875112i \(0.972109\pi\)
\(504\) −4.17526 27.8825i −0.185981 1.24199i
\(505\) 0.100279i 0.00446237i
\(506\) −13.1476 38.8978i −0.584481 1.72922i
\(507\) 12.7337 + 7.35178i 0.565521 + 0.326504i
\(508\) −35.3065 49.5810i −1.56647 2.19980i
\(509\) 5.23573 1.27017i 0.232070 0.0562995i −0.118038 0.993009i \(-0.537660\pi\)
0.350107 + 0.936710i \(0.386145\pi\)
\(510\) 0.343411 0.297567i 0.0152065 0.0131765i
\(511\) −1.88930 18.6348i −0.0835778 0.824355i
\(512\) −96.7229 + 111.624i −4.27459 + 4.93314i
\(513\) −3.06191 7.64828i −0.135187 0.337680i
\(514\) −37.5641 9.11295i −1.65688 0.401955i
\(515\) 0.211769 0.109175i 0.00933166 0.00481080i
\(516\) −37.8524 + 29.7675i −1.66636 + 1.31044i
\(517\) 2.15185 + 4.71189i 0.0946381 + 0.207228i
\(518\) 20.5460 + 0.858488i 0.902741 + 0.0377198i
\(519\) 0.501754 + 3.48977i 0.0220245 + 0.153184i
\(520\) 5.67955 + 0.270550i 0.249065 + 0.0118644i
\(521\) −10.3586 + 42.6986i −0.453817 + 1.87066i 0.0368645 + 0.999320i \(0.488263\pi\)
−0.490682 + 0.871339i \(0.663252\pi\)
\(522\) −7.78600 6.12298i −0.340784 0.267996i
\(523\) −28.9125 5.57242i −1.26425 0.243665i −0.487306 0.873231i \(-0.662021\pi\)
−0.776947 + 0.629566i \(0.783233\pi\)
\(524\) 56.8029 + 88.3870i 2.48144 + 3.86120i
\(525\) 3.64527 12.6883i 0.159092 0.553764i
\(526\) −0.155506 + 0.529604i −0.00678037 + 0.0230918i
\(527\) 0.753243 + 7.88831i 0.0328118 + 0.343620i
\(528\) −27.8123 + 48.1724i −1.21038 + 2.09643i
\(529\) 18.2835 13.9540i 0.794936 0.606694i
\(530\) 1.57676 0.910342i 0.0684900 0.0395427i
\(531\) −6.98058 3.18792i −0.302931 0.138344i
\(532\) −29.1494 + 123.294i −1.26378 + 5.34547i
\(533\) −7.73159 8.92273i −0.334892 0.386486i
\(534\) −1.62140 + 3.14508i −0.0701648 + 0.136101i
\(535\) 0.974375 0.337235i 0.0421259 0.0145799i
\(536\) 22.9655 29.2031i 0.991961 1.26138i
\(537\) 10.0239 10.5127i 0.432562 0.453658i
\(538\) −17.4312 + 27.1234i −0.751511 + 1.16937i
\(539\) −5.80006 + 20.6422i −0.249826 + 0.889122i
\(540\) −0.536000 + 0.244783i −0.0230658 + 0.0105338i
\(541\) −24.7674 + 34.7809i −1.06483 + 1.49535i −0.209124 + 0.977889i \(0.567061\pi\)
−0.855708 + 0.517458i \(0.826878\pi\)
\(542\) −19.0602 + 47.6102i −0.818707 + 2.04503i
\(543\) −9.98601 19.3701i −0.428541 0.831253i
\(544\) −34.1745 32.5853i −1.46522 1.39708i
\(545\) 0.750059 + 0.107842i 0.0321290 + 0.00461945i
\(546\) 30.7358 + 23.8817i 1.31537 + 1.02204i
\(547\) 11.2179 7.20932i 0.479644 0.308248i −0.278385 0.960470i \(-0.589799\pi\)
0.758029 + 0.652221i \(0.226163\pi\)
\(548\) 68.0213 + 23.5424i 2.90573 + 1.00568i
\(549\) −5.20658 + 4.96446i −0.222211 + 0.211878i
\(550\) −34.7985 + 24.7799i −1.48381 + 1.05662i
\(551\) 14.5976 + 25.2838i 0.621880 + 1.07713i
\(552\) −50.1099 10.0353i −2.13282 0.427131i
\(553\) 5.18055 + 7.95851i 0.220299 + 0.338430i
\(554\) −22.0127 + 48.2011i −0.935230 + 2.04787i
\(555\) −0.0664618 0.273959i −0.00282115 0.0116289i
\(556\) −10.0031 51.9008i −0.424224 2.20108i
\(557\) 38.5180 1.83484i 1.63206 0.0777446i 0.788590 0.614920i \(-0.210812\pi\)
0.843471 + 0.537175i \(0.180509\pi\)
\(558\) 2.61388 13.5621i 0.110654 0.574129i
\(559\) 6.20583 43.1625i 0.262479 1.82558i
\(560\) 4.78805 + 0.893850i 0.202332 + 0.0377721i
\(561\) −4.13226 2.65564i −0.174464 0.112121i
\(562\) 21.6167 + 27.4879i 0.911847 + 1.15951i
\(563\) −24.8139 2.36944i −1.04578 0.0998600i −0.442004 0.897013i \(-0.645732\pi\)
−0.603777 + 0.797153i \(0.706338\pi\)
\(564\) 9.78497 + 0.934351i 0.412021 + 0.0393433i
\(565\) −0.678097 0.862271i −0.0285278 0.0362760i
\(566\) −47.2519 30.3670i −1.98615 1.27642i
\(567\) −2.60082 0.485530i −0.109224 0.0203903i
\(568\) −8.70575 + 60.5498i −0.365285 + 2.54061i
\(569\) 0.196302 1.01851i 0.00822940 0.0426982i −0.977582 0.210556i \(-0.932473\pi\)
0.985811 + 0.167857i \(0.0536848\pi\)
\(570\) 2.33177 0.111076i 0.0976669 0.00465245i
\(571\) −0.603803 3.13283i −0.0252684 0.131105i 0.967104 0.254381i \(-0.0818719\pi\)
−0.992372 + 0.123277i \(0.960660\pi\)
\(572\) −22.0929 91.0684i −0.923753 3.80776i
\(573\) 5.42899 11.8878i 0.226799 0.496621i
\(574\) −9.04951 13.9021i −0.377719 0.580263i
\(575\) −19.3915 14.0217i −0.808682 0.584744i
\(576\) 22.9916 + 39.8227i 0.957985 + 1.65928i
\(577\) 4.47635 3.18760i 0.186353 0.132701i −0.483073 0.875580i \(-0.660479\pi\)
0.669426 + 0.742879i \(0.266540\pi\)
\(578\) −29.1871 + 27.8298i −1.21402 + 1.15757i
\(579\) −13.5474 4.68878i −0.563009 0.194859i
\(580\) 1.75669 1.12896i 0.0729426 0.0468774i
\(581\) −4.52343 3.51470i −0.187664 0.145814i
\(582\) 11.4165 + 1.64144i 0.473228 + 0.0680400i
\(583\) −14.2442 13.5818i −0.589935 0.562502i
\(584\) 34.5681 + 67.0527i 1.43044 + 2.77466i
\(585\) 0.198315 0.495368i 0.00819933 0.0204809i
\(586\) 12.3540 17.3487i 0.510337 0.716668i
\(587\) −33.2983 + 15.2068i −1.37437 + 0.627652i −0.959365 0.282168i \(-0.908946\pi\)
−0.415002 + 0.909821i \(0.636219\pi\)
\(588\) 28.4194 + 29.1167i 1.17200 + 1.20075i
\(589\) −22.0092 + 34.2470i −0.906875 + 1.41112i
\(590\) 1.50058 1.57376i 0.0617778 0.0647907i
\(591\) −2.89891 + 3.68626i −0.119245 + 0.151632i
\(592\) −47.7205 + 16.5162i −1.96130 + 0.678813i
\(593\) −14.1286 + 27.4056i −0.580191 + 1.12541i 0.397937 + 0.917413i \(0.369726\pi\)
−0.978128 + 0.208002i \(0.933304\pi\)
\(594\) 5.60662 + 6.47038i 0.230042 + 0.265483i
\(595\) −0.0989620 + 0.418582i −0.00405704 + 0.0171602i
\(596\) 54.0123 + 24.6666i 2.21243 + 1.01038i
\(597\) 4.05288 2.33993i 0.165873 0.0957670i
\(598\) 59.6294 37.7133i 2.43843 1.54221i
\(599\) 5.10787 8.84708i 0.208702 0.361482i −0.742604 0.669731i \(-0.766410\pi\)
0.951306 + 0.308249i \(0.0997429\pi\)
\(600\) 5.05422 + 52.9302i 0.206338 + 2.16087i
\(601\) −3.77594 + 12.8597i −0.154024 + 0.524557i −0.999962 0.00872417i \(-0.997223\pi\)
0.845938 + 0.533281i \(0.179041\pi\)
\(602\) 16.9172 58.8848i 0.689494 2.39997i
\(603\) −1.88489 2.93295i −0.0767589 0.119439i
\(604\) 68.5442 + 13.2108i 2.78902 + 0.537540i
\(605\) 0.128899 + 0.101367i 0.00524048 + 0.00412116i
\(606\) −0.651829 + 2.68688i −0.0264787 + 0.109147i
\(607\) 47.6828 + 2.27141i 1.93538 + 0.0921937i 0.979487 0.201509i \(-0.0645844\pi\)
0.955897 + 0.293702i \(0.0948874\pi\)
\(608\) −34.5234 240.116i −1.40011 9.73798i
\(609\) 9.36784 + 0.391422i 0.379604 + 0.0158612i
\(610\) −0.846816 1.85427i −0.0342866 0.0750771i
\(611\) −6.99666 + 5.50223i −0.283054 + 0.222596i
\(612\) −8.28482 + 4.27112i −0.334894 + 0.172650i
\(613\) 0.899565 + 0.218232i 0.0363331 + 0.00881431i 0.253884 0.967235i \(-0.418292\pi\)
−0.217551 + 0.976049i \(0.569807\pi\)
\(614\) 25.9890 + 64.9173i 1.04883 + 2.61985i
\(615\) −0.148916 + 0.171858i −0.00600486 + 0.00692998i
\(616\) −8.71086 85.9181i −0.350971 3.46174i
\(617\) 26.8010 23.2232i 1.07897 0.934932i 0.0808795 0.996724i \(-0.474227\pi\)
0.998089 + 0.0617923i \(0.0196816\pi\)
\(618\) −6.38377 + 1.54868i −0.256793 + 0.0622972i
\(619\) 11.7341 + 16.4783i 0.471635 + 0.662319i 0.980040 0.198799i \(-0.0637042\pi\)
−0.508405 + 0.861118i \(0.669765\pi\)
\(620\) 2.52164 + 1.45587i 0.101271 + 0.0584691i
\(621\) −2.42797 + 4.13581i −0.0974311 + 0.165964i
\(622\) 51.2179i 2.05365i
\(623\) −0.496022 3.31245i −0.0198727 0.132711i
\(624\) −91.7104 26.9286i −3.67135 1.07801i
\(625\) −8.12631 + 23.4794i −0.325053 + 0.939178i
\(626\) 0.771986 + 16.2060i 0.0308547 + 0.647721i
\(627\) −8.25353 23.8470i −0.329614 0.952357i
\(628\) 3.50953 1.40500i 0.140045 0.0560657i
\(629\) −1.25633 4.27867i −0.0500931 0.170602i
\(630\) 0.371047 0.651430i 0.0147829 0.0259536i
\(631\) −46.9052 + 6.74395i −1.86727 + 0.268472i −0.980900 0.194514i \(-0.937687\pi\)
−0.886366 + 0.462986i \(0.846778\pi\)
\(632\) −31.1549 22.1853i −1.23928 0.882484i
\(633\) 1.15683 12.1149i 0.0459798 0.481522i
\(634\) 0.602002 + 0.241005i 0.0239086 + 0.00957155i
\(635\) 0.0505133 1.06041i 0.00200456 0.0420809i
\(636\) −35.8346 + 10.5220i −1.42093 + 0.417224i
\(637\) −36.8202 1.32310i −1.45887 0.0524233i
\(638\) −22.9297 19.8687i −0.907797 0.786610i
\(639\) 5.10245 + 2.63050i 0.201850 + 0.104061i
\(640\) −6.93188 + 1.33601i −0.274007 + 0.0528104i
\(641\) 19.5906 + 20.5460i 0.773781 + 0.811518i 0.986182 0.165665i \(-0.0529770\pi\)
−0.212402 + 0.977182i \(0.568128\pi\)
\(642\) −28.2994 + 2.70226i −1.11689 + 0.106650i
\(643\) 33.7298 1.33017 0.665086 0.746767i \(-0.268395\pi\)
0.665086 + 0.746767i \(0.268395\pi\)
\(644\) 67.1301 30.5429i 2.64530 1.20356i
\(645\) −0.839889 −0.0330706
\(646\) 36.7594 3.51010i 1.44628 0.138103i
\(647\) 29.8806 + 31.3379i 1.17473 + 1.23202i 0.967263 + 0.253778i \(0.0816732\pi\)
0.207466 + 0.978242i \(0.433478\pi\)
\(648\) 10.4635 2.01668i 0.411046 0.0792227i
\(649\) −20.8932 10.7712i −0.820131 0.422807i
\(650\) −55.4774 48.0714i −2.17600 1.88552i
\(651\) 5.50042 + 11.8604i 0.215578 + 0.464847i
\(652\) 30.4731 8.94770i 1.19342 0.350419i
\(653\) 0.924130 19.3999i 0.0361640 0.759176i −0.905849 0.423600i \(-0.860766\pi\)
0.942013 0.335576i \(-0.108931\pi\)
\(654\) −19.3960 7.76499i −0.758444 0.303635i
\(655\) −0.174189 + 1.82419i −0.00680614 + 0.0712771i
\(656\) 33.1812 + 23.6283i 1.29551 + 0.922528i
\(657\) 7.00734 1.00750i 0.273382 0.0393065i
\(658\) −10.7937 + 6.31608i −0.420782 + 0.246226i
\(659\) −11.7786 40.1141i −0.458827 1.56262i −0.786351 0.617780i \(-0.788032\pi\)
0.327524 0.944843i \(-0.393786\pi\)
\(660\) −1.67563 + 0.670820i −0.0652238 + 0.0261117i
\(661\) 7.78386 + 22.4900i 0.302757 + 0.874759i 0.989069 + 0.147452i \(0.0471072\pi\)
−0.686312 + 0.727307i \(0.740772\pi\)
\(662\) 2.48135 + 52.0900i 0.0964406 + 2.02454i
\(663\) 2.76063 7.97632i 0.107214 0.309774i
\(664\) 22.1373 + 6.50009i 0.859093 + 0.252253i
\(665\) −1.72893 + 1.37606i −0.0670450 + 0.0533615i
\(666\) 7.77245i 0.301176i
\(667\) 6.43083 15.7318i 0.249003 0.609138i
\(668\) 83.7468 + 48.3512i 3.24026 + 1.87076i
\(669\) 3.27863 + 4.60419i 0.126759 + 0.178008i
\(670\) 0.960050 0.232906i 0.0370900 0.00899793i
\(671\) −16.6536 + 14.4305i −0.642907 + 0.557082i
\(672\) −71.0533 31.9488i −2.74094 1.23245i
\(673\) −3.41648 + 3.94282i −0.131695 + 0.151985i −0.817767 0.575549i \(-0.804788\pi\)
0.686072 + 0.727534i \(0.259334\pi\)
\(674\) −8.25458 20.6189i −0.317954 0.794212i
\(675\) 4.84907 + 1.17637i 0.186641 + 0.0452786i
\(676\) 75.9632 39.1618i 2.92166 1.50622i
\(677\) −15.5651 + 12.2405i −0.598215 + 0.470442i −0.870765 0.491700i \(-0.836376\pi\)
0.272549 + 0.962142i \(0.412133\pi\)
\(678\) 12.5640 + 27.5113i 0.482517 + 1.05657i
\(679\) −9.67464 + 5.05936i −0.371279 + 0.194161i
\(680\) −0.246542 1.71474i −0.00945445 0.0657572i
\(681\) 22.2164 + 1.05830i 0.851334 + 0.0405541i
\(682\) 9.97408 41.1137i 0.381927 1.57433i
\(683\) −19.1901 15.0912i −0.734288 0.577451i 0.179444 0.983768i \(-0.442570\pi\)
−0.913732 + 0.406318i \(0.866813\pi\)
\(684\) −47.0200 9.06237i −1.79786 0.346508i
\(685\) 0.678738 + 1.05614i 0.0259332 + 0.0403529i
\(686\) −50.9939 8.90461i −1.94696 0.339979i
\(687\) −3.85275 + 13.1213i −0.146991 + 0.500607i
\(688\) 14.3011 + 149.768i 0.545226 + 5.70987i
\(689\) 16.9098 29.2887i 0.644212 1.11581i
\(690\) −0.882440 1.03344i −0.0335939 0.0393423i
\(691\) −19.0184 + 10.9803i −0.723493 + 0.417709i −0.816037 0.578000i \(-0.803833\pi\)
0.0925443 + 0.995709i \(0.470500\pi\)
\(692\) 18.6408 + 8.51299i 0.708619 + 0.323615i
\(693\) −7.88673 1.86459i −0.299592 0.0708301i
\(694\) 16.9482 + 19.5592i 0.643343 + 0.742458i
\(695\) 0.422430 0.819400i 0.0160237 0.0310816i
\(696\) −35.6861 + 12.3511i −1.35268 + 0.468167i
\(697\) −2.22359 + 2.82752i −0.0842244 + 0.107100i
\(698\) −0.976489 + 1.02411i −0.0369607 + 0.0387632i
\(699\) 3.23314 5.03087i 0.122289 0.190285i
\(700\) −50.5876 57.6968i −1.91203 2.18074i
\(701\) −2.04900 + 0.935746i −0.0773896 + 0.0353426i −0.453734 0.891137i \(-0.649908\pi\)
0.376344 + 0.926480i \(0.377181\pi\)
\(702\) −8.53360 + 11.9838i −0.322080 + 0.452298i
\(703\) 8.51444 21.2680i 0.321128 0.802140i
\(704\) 64.5414 + 125.193i 2.43249 + 4.71838i
\(705\) 0.124077 + 0.118307i 0.00467299 + 0.00445569i
\(706\) 33.0586 + 4.75311i 1.24418 + 0.178886i
\(707\) −0.986853 2.42391i −0.0371144 0.0911606i
\(708\) −37.5243 + 24.1154i −1.41025 + 0.906312i
\(709\) −24.7974 8.58246i −0.931285 0.322321i −0.181036 0.983476i \(-0.557945\pi\)
−0.750249 + 0.661156i \(0.770066\pi\)
\(710\) −1.17725 + 1.12251i −0.0441816 + 0.0421270i
\(711\) −2.92367 + 2.08193i −0.109646 + 0.0780786i
\(712\) 6.74504 + 11.6828i 0.252781 + 0.437830i
\(713\) 23.6067 2.08153i 0.884077 0.0779539i
\(714\) 5.37242 10.5722i 0.201058 0.395654i
\(715\) 0.678966 1.48673i 0.0253919 0.0556005i
\(716\) −19.9051 82.0499i −0.743888 3.06635i
\(717\) −5.01205 26.0050i −0.187178 0.971173i
\(718\) 46.9952 2.23866i 1.75385 0.0835460i
\(719\) 0.593665 3.08023i 0.0221400 0.114873i −0.969177 0.246364i \(-0.920764\pi\)
0.991317 + 0.131491i \(0.0419763\pi\)
\(720\) −0.261999 + 1.82224i −0.00976411 + 0.0679109i
\(721\) 4.04440 4.72295i 0.150621 0.175892i
\(722\) 114.915 + 73.8512i 4.27668 + 2.74846i
\(723\) 7.08886 + 9.01422i 0.263638 + 0.335243i
\(724\) −126.096 12.0407i −4.68631 0.447488i
\(725\) −17.6025 1.68084i −0.653741 0.0624247i
\(726\) −2.79480 3.55388i −0.103725 0.131897i
\(727\) 16.1507 + 10.3794i 0.598997 + 0.384952i 0.804717 0.593659i \(-0.202317\pi\)
−0.205720 + 0.978611i \(0.565954\pi\)
\(728\) 139.946 49.3530i 5.18675 1.82914i
\(729\) 0.142315 0.989821i 0.00527092 0.0366601i
\(730\) −0.379637 + 1.96975i −0.0140510 + 0.0729035i
\(731\) −13.2707 + 0.632159i −0.490833 + 0.0233813i
\(732\) 7.91355 + 41.0594i 0.292493 + 1.51760i
\(733\) −2.70628 11.1555i −0.0999589 0.412036i 0.899744 0.436418i \(-0.143753\pi\)
−0.999703 + 0.0243823i \(0.992238\pi\)
\(734\) −3.57831 + 7.83541i −0.132078 + 0.289210i
\(735\) 0.0757026 + 0.705590i 0.00279233 + 0.0260261i
\(736\) −98.1889 + 101.494i −3.61929 + 3.74110i
\(737\) −5.33957 9.24841i −0.196686 0.340670i
\(738\) 5.10713 3.63677i 0.187996 0.133872i
\(739\) −32.7880 + 31.2633i −1.20613 + 1.15004i −0.221539 + 0.975151i \(0.571108\pi\)
−0.984588 + 0.174889i \(0.944043\pi\)
\(740\) −1.54844 0.535922i −0.0569220 0.0197009i
\(741\) 36.4786 23.4434i 1.34007 0.861214i
\(742\) 29.1541 37.5213i 1.07028 1.37745i
\(743\) 6.77952 + 0.974748i 0.248717 + 0.0357600i 0.265545 0.964098i \(-0.414448\pi\)
−0.0168289 + 0.999858i \(0.505357\pi\)
\(744\) −38.1092 36.3371i −1.39715 1.33218i
\(745\) 0.474556 + 0.920510i 0.0173864 + 0.0337249i
\(746\) −17.1709 + 42.8909i −0.628673 + 1.57035i
\(747\) 1.25590 1.76366i 0.0459510 0.0645291i
\(748\) −25.9708 + 11.8605i −0.949588 + 0.433662i
\(749\) 20.2335 17.7404i 0.739315 0.648218i
\(750\) −1.53037 + 2.38130i −0.0558811 + 0.0869527i
\(751\) 17.4343 18.2846i 0.636187 0.667214i −0.324166 0.946000i \(-0.605084\pi\)
0.960353 + 0.278786i \(0.0899321\pi\)
\(752\) 18.9837 24.1397i 0.692263 0.880284i
\(753\) 15.4325 5.34123i 0.562391 0.194645i
\(754\) 23.8897 46.3396i 0.870012 1.68759i
\(755\) 0.797296 + 0.920129i 0.0290166 + 0.0334869i
\(756\) −10.5471 + 11.1916i −0.383593 + 0.407034i
\(757\) 4.34389 + 1.98379i 0.157881 + 0.0721019i 0.492788 0.870149i \(-0.335978\pi\)
−0.334907 + 0.942251i \(0.608705\pi\)
\(758\) −51.4193 + 29.6870i −1.86763 + 1.07828i
\(759\) −8.03143 + 12.3001i −0.291522 + 0.446466i
\(760\) 4.44991 7.70748i 0.161415 0.279580i
\(761\) −4.27856 44.8071i −0.155098 1.62426i −0.653234 0.757156i \(-0.726588\pi\)
0.498136 0.867099i \(-0.334018\pi\)
\(762\) −8.24622 + 28.0840i −0.298729 + 1.01738i
\(763\) 19.1914 4.77463i 0.694775 0.172853i
\(764\) −41.0682 63.9033i −1.48579 2.31194i
\(765\) −0.159633 0.0307667i −0.00577154 0.00111237i
\(766\) −62.2239 48.9334i −2.24824 1.76804i
\(767\) 9.52274 39.2533i 0.343846 1.41735i
\(768\) 102.554 + 4.88525i 3.70060 + 0.176281i
\(769\) 4.06906 + 28.3009i 0.146734 + 1.02056i 0.921519 + 0.388332i \(0.126949\pi\)
−0.774785 + 0.632224i \(0.782142\pi\)
\(770\) 1.23020 1.93904i 0.0443335 0.0698783i
\(771\) 5.74486 + 12.5795i 0.206896 + 0.453039i
\(772\) −65.4988 + 51.5089i −2.35735 + 1.85384i
\(773\) 13.6251 7.02422i 0.490060