Properties

Label 168.2.v.a.11.5
Level $168$
Weight $2$
Character 168.11
Analytic conductor $1.341$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 168 = 2^{3} \cdot 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 168.v (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.34148675396\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(28\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 11.5
Character \(\chi\) \(=\) 168.11
Dual form 168.2.v.a.107.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.18883 - 0.765954i) q^{2} +(0.728136 - 1.57157i) q^{3} +(0.826627 + 1.82118i) q^{4} +(-1.00081 - 1.73346i) q^{5} +(-2.06938 + 1.31060i) q^{6} +(-2.50986 - 0.837013i) q^{7} +(0.412221 - 2.79823i) q^{8} +(-1.93964 - 2.28863i) q^{9} +O(q^{10})\) \(q+(-1.18883 - 0.765954i) q^{2} +(0.728136 - 1.57157i) q^{3} +(0.826627 + 1.82118i) q^{4} +(-1.00081 - 1.73346i) q^{5} +(-2.06938 + 1.31060i) q^{6} +(-2.50986 - 0.837013i) q^{7} +(0.412221 - 2.79823i) q^{8} +(-1.93964 - 2.28863i) q^{9} +(-0.137955 + 2.82736i) q^{10} +(3.33711 + 1.92668i) q^{11} +(3.46400 + 0.0269657i) q^{12} -2.05924i q^{13} +(2.34268 + 2.91751i) q^{14} +(-3.45297 + 0.310649i) q^{15} +(-2.63337 + 3.01087i) q^{16} +(-4.92484 - 2.84336i) q^{17} +(0.552911 + 4.20646i) q^{18} +(-0.232846 - 0.403301i) q^{19} +(2.32964 - 3.25558i) q^{20} +(-3.14294 + 3.33495i) q^{21} +(-2.49150 - 4.84656i) q^{22} +(0.711115 + 1.23169i) q^{23} +(-4.09744 - 2.68532i) q^{24} +(0.496746 - 0.860389i) q^{25} +(-1.57728 + 2.44808i) q^{26} +(-5.00905 + 1.38183i) q^{27} +(-0.550373 - 5.26280i) q^{28} +9.25829 q^{29} +(4.34294 + 2.27551i) q^{30} +(4.99699 + 2.88502i) q^{31} +(5.43682 - 1.56236i) q^{32} +(5.45777 - 3.84160i) q^{33} +(3.67691 + 7.15247i) q^{34} +(1.06098 + 5.18844i) q^{35} +(2.56464 - 5.42426i) q^{36} +(-0.569094 + 0.328567i) q^{37} +(-0.0320962 + 0.657805i) q^{38} +(-3.23622 - 1.49940i) q^{39} +(-5.26317 + 2.08593i) q^{40} -8.42924i q^{41} +(6.29084 - 1.55734i) q^{42} +6.77074 q^{43} +(-0.750281 + 7.67011i) q^{44} +(-2.02603 + 5.65277i) q^{45} +(0.0980225 - 2.00895i) q^{46} +(1.79536 + 3.10966i) q^{47} +(2.81433 + 6.33084i) q^{48} +(5.59882 + 4.20157i) q^{49} +(-1.24956 + 0.642371i) q^{50} +(-8.05448 + 5.66936i) q^{51} +(3.75023 - 1.70222i) q^{52} +(1.50566 - 2.60789i) q^{53} +(7.01332 + 2.19394i) q^{54} -7.71298i q^{55} +(-3.37677 + 6.67813i) q^{56} +(-0.803357 + 0.0722746i) q^{57} +(-11.0065 - 7.09143i) q^{58} +(5.72041 + 3.30268i) q^{59} +(-3.42007 - 6.03168i) q^{60} +(8.50530 - 4.91054i) q^{61} +(-3.73078 - 7.25726i) q^{62} +(2.95261 + 7.36764i) q^{63} +(-7.66015 - 2.30697i) q^{64} +(-3.56960 + 2.06091i) q^{65} +(-9.43084 + 0.386597i) q^{66} +(-3.78271 + 6.55184i) q^{67} +(1.10725 - 11.3194i) q^{68} +(2.45347 - 0.220728i) q^{69} +(2.71279 - 6.98082i) q^{70} -14.0426 q^{71} +(-7.20366 + 4.48412i) q^{72} +(-2.02113 + 3.50071i) q^{73} +(0.928223 + 0.0452908i) q^{74} +(-0.990459 - 1.40715i) q^{75} +(0.542005 - 0.757433i) q^{76} +(-6.76302 - 7.62890i) q^{77} +(2.69884 + 4.26133i) q^{78} +(0.00488142 - 0.00281829i) q^{79} +(7.85474 + 1.55153i) q^{80} +(-1.47562 + 8.87821i) q^{81} +(-6.45642 + 10.0209i) q^{82} -8.56466i q^{83} +(-8.67158 - 2.96709i) q^{84} +11.3827i q^{85} +(-8.04925 - 5.18608i) q^{86} +(6.74130 - 14.5500i) q^{87} +(6.76691 - 8.54376i) q^{88} +(-8.14017 + 4.69973i) q^{89} +(6.73836 - 5.16833i) q^{90} +(-1.72361 + 5.16840i) q^{91} +(-1.65529 + 2.31321i) q^{92} +(8.17248 - 5.75242i) q^{93} +(0.247479 - 5.07202i) q^{94} +(-0.466070 + 0.807257i) q^{95} +(1.50339 - 9.68193i) q^{96} -4.17304 q^{97} +(-3.43782 - 9.28339i) q^{98} +(-2.06332 - 11.3744i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56 q - 2 q^{3} - 2 q^{4} - 8 q^{6} - 2 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 56 q - 2 q^{3} - 2 q^{4} - 8 q^{6} - 2 q^{9} + 6 q^{10} + 10 q^{12} - 10 q^{16} - 10 q^{18} - 4 q^{19} - 20 q^{22} - 8 q^{24} - 16 q^{25} - 8 q^{27} - 22 q^{28} - 12 q^{30} - 14 q^{33} - 56 q^{34} + 4 q^{36} + 14 q^{40} - 8 q^{42} - 16 q^{43} - 12 q^{46} + 64 q^{48} - 16 q^{49} - 34 q^{51} - 8 q^{52} + 32 q^{54} + 4 q^{57} - 18 q^{58} + 40 q^{60} + 4 q^{64} - 20 q^{66} - 36 q^{67} - 42 q^{70} + 22 q^{72} + 4 q^{73} + 104 q^{76} + 28 q^{78} - 10 q^{81} + 52 q^{82} + 4 q^{84} + 46 q^{88} + 140 q^{90} + 72 q^{91} - 46 q^{96} - 32 q^{97} - 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).

\(n\) \(73\) \(85\) \(113\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(-1\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.18883 0.765954i −0.840629 0.541612i
\(3\) 0.728136 1.57157i 0.420390 0.907344i
\(4\) 0.826627 + 1.82118i 0.413314 + 0.910589i
\(5\) −1.00081 1.73346i −0.447577 0.775227i 0.550650 0.834736i \(-0.314380\pi\)
−0.998228 + 0.0595094i \(0.981046\pi\)
\(6\) −2.06938 + 1.31060i −0.844819 + 0.535051i
\(7\) −2.50986 0.837013i −0.948639 0.316361i
\(8\) 0.412221 2.79823i 0.145742 0.989323i
\(9\) −1.93964 2.28863i −0.646545 0.762876i
\(10\) −0.137955 + 2.82736i −0.0436254 + 0.894091i
\(11\) 3.33711 + 1.92668i 1.00618 + 0.580916i 0.910070 0.414455i \(-0.136028\pi\)
0.0961058 + 0.995371i \(0.469361\pi\)
\(12\) 3.46400 + 0.0269657i 0.999970 + 0.00778433i
\(13\) 2.05924i 0.571129i −0.958359 0.285565i \(-0.907819\pi\)
0.958359 0.285565i \(-0.0921811\pi\)
\(14\) 2.34268 + 2.91751i 0.626108 + 0.779736i
\(15\) −3.45297 + 0.310649i −0.891554 + 0.0802093i
\(16\) −2.63337 + 3.01087i −0.658344 + 0.752718i
\(17\) −4.92484 2.84336i −1.19445 0.689616i −0.235137 0.971962i \(-0.575554\pi\)
−0.959313 + 0.282346i \(0.908887\pi\)
\(18\) 0.552911 + 4.20646i 0.130322 + 0.991472i
\(19\) −0.232846 0.403301i −0.0534185 0.0925235i 0.838080 0.545548i \(-0.183678\pi\)
−0.891498 + 0.453024i \(0.850345\pi\)
\(20\) 2.32964 3.25558i 0.520923 0.727971i
\(21\) −3.14294 + 3.33495i −0.685846 + 0.727747i
\(22\) −2.49150 4.84656i −0.531189 1.03329i
\(23\) 0.711115 + 1.23169i 0.148278 + 0.256825i 0.930591 0.366061i \(-0.119294\pi\)
−0.782313 + 0.622885i \(0.785960\pi\)
\(24\) −4.09744 2.68532i −0.836387 0.548139i
\(25\) 0.496746 0.860389i 0.0993492 0.172078i
\(26\) −1.57728 + 2.44808i −0.309330 + 0.480108i
\(27\) −5.00905 + 1.38183i −0.963991 + 0.265934i
\(28\) −0.550373 5.26280i −0.104011 0.994576i
\(29\) 9.25829 1.71922 0.859611 0.510949i \(-0.170706\pi\)
0.859611 + 0.510949i \(0.170706\pi\)
\(30\) 4.34294 + 2.27551i 0.792908 + 0.415450i
\(31\) 4.99699 + 2.88502i 0.897486 + 0.518164i 0.876384 0.481613i \(-0.159949\pi\)
0.0211026 + 0.999777i \(0.493282\pi\)
\(32\) 5.43682 1.56236i 0.961103 0.276190i
\(33\) 5.45777 3.84160i 0.950076 0.668736i
\(34\) 3.67691 + 7.15247i 0.630585 + 1.22664i
\(35\) 1.06098 + 5.18844i 0.179338 + 0.877006i
\(36\) 2.56464 5.42426i 0.427440 0.904044i
\(37\) −0.569094 + 0.328567i −0.0935586 + 0.0540161i −0.546049 0.837753i \(-0.683869\pi\)
0.452491 + 0.891769i \(0.350536\pi\)
\(38\) −0.0320962 + 0.657805i −0.00520670 + 0.106710i
\(39\) −3.23622 1.49940i −0.518211 0.240097i
\(40\) −5.26317 + 2.08593i −0.832180 + 0.329815i
\(41\) 8.42924i 1.31643i −0.752832 0.658213i \(-0.771313\pi\)
0.752832 0.658213i \(-0.228687\pi\)
\(42\) 6.29084 1.55734i 0.970698 0.240303i
\(43\) 6.77074 1.03253 0.516264 0.856430i \(-0.327322\pi\)
0.516264 + 0.856430i \(0.327322\pi\)
\(44\) −0.750281 + 7.67011i −0.113109 + 1.15631i
\(45\) −2.02603 + 5.65277i −0.302022 + 0.842665i
\(46\) 0.0980225 2.00895i 0.0144526 0.296203i
\(47\) 1.79536 + 3.10966i 0.261881 + 0.453590i 0.966742 0.255755i \(-0.0823240\pi\)
−0.704861 + 0.709345i \(0.748991\pi\)
\(48\) 2.81433 + 6.33084i 0.406213 + 0.913778i
\(49\) 5.59882 + 4.20157i 0.799831 + 0.600225i
\(50\) −1.24956 + 0.642371i −0.176715 + 0.0908449i
\(51\) −8.05448 + 5.66936i −1.12785 + 0.793869i
\(52\) 3.75023 1.70222i 0.520064 0.236056i
\(53\) 1.50566 2.60789i 0.206819 0.358221i −0.743892 0.668300i \(-0.767022\pi\)
0.950711 + 0.310079i \(0.100356\pi\)
\(54\) 7.01332 + 2.19394i 0.954392 + 0.298557i
\(55\) 7.71298i 1.04002i
\(56\) −3.37677 + 6.67813i −0.451240 + 0.892403i
\(57\) −0.803357 + 0.0722746i −0.106407 + 0.00957300i
\(58\) −11.0065 7.09143i −1.44523 0.931151i
\(59\) 5.72041 + 3.30268i 0.744735 + 0.429973i 0.823788 0.566898i \(-0.191857\pi\)
−0.0790537 + 0.996870i \(0.525190\pi\)
\(60\) −3.42007 6.03168i −0.441529 0.778687i
\(61\) 8.50530 4.91054i 1.08899 0.628730i 0.155684 0.987807i \(-0.450242\pi\)
0.933308 + 0.359077i \(0.116908\pi\)
\(62\) −3.73078 7.25726i −0.473809 0.921673i
\(63\) 2.95261 + 7.36764i 0.371994 + 0.928235i
\(64\) −7.66015 2.30697i −0.957519 0.288372i
\(65\) −3.56960 + 2.06091i −0.442755 + 0.255624i
\(66\) −9.43084 + 0.386597i −1.16086 + 0.0475868i
\(67\) −3.78271 + 6.55184i −0.462131 + 0.800435i −0.999067 0.0431883i \(-0.986248\pi\)
0.536936 + 0.843623i \(0.319582\pi\)
\(68\) 1.10725 11.3194i 0.134274 1.37268i
\(69\) 2.45347 0.220728i 0.295363 0.0265725i
\(70\) 2.71279 6.98082i 0.324240 0.834368i
\(71\) −14.0426 −1.66655 −0.833274 0.552861i \(-0.813536\pi\)
−0.833274 + 0.552861i \(0.813536\pi\)
\(72\) −7.20366 + 4.48412i −0.848959 + 0.528459i
\(73\) −2.02113 + 3.50071i −0.236556 + 0.409727i −0.959724 0.280946i \(-0.909352\pi\)
0.723168 + 0.690672i \(0.242685\pi\)
\(74\) 0.928223 + 0.0452908i 0.107904 + 0.00526494i
\(75\) −0.990459 1.40715i −0.114368 0.162484i
\(76\) 0.542005 0.757433i 0.0621723 0.0868835i
\(77\) −6.76302 7.62890i −0.770718 0.869394i
\(78\) 2.69884 + 4.26133i 0.305584 + 0.482501i
\(79\) 0.00488142 0.00281829i 0.000549203 0.000317082i −0.499725 0.866184i \(-0.666566\pi\)
0.500275 + 0.865867i \(0.333232\pi\)
\(80\) 7.85474 + 1.55153i 0.878186 + 0.173466i
\(81\) −1.47562 + 8.87821i −0.163958 + 0.986467i
\(82\) −6.45642 + 10.0209i −0.712992 + 1.10663i
\(83\) 8.56466i 0.940093i −0.882642 0.470047i \(-0.844237\pi\)
0.882642 0.470047i \(-0.155763\pi\)
\(84\) −8.67158 2.96709i −0.946147 0.323736i
\(85\) 11.3827i 1.23463i
\(86\) −8.04925 5.18608i −0.867973 0.559229i
\(87\) 6.74130 14.5500i 0.722743 1.55993i
\(88\) 6.76691 8.54376i 0.721355 0.910768i
\(89\) −8.14017 + 4.69973i −0.862857 + 0.498170i −0.864968 0.501827i \(-0.832661\pi\)
0.00211125 + 0.999998i \(0.499328\pi\)
\(90\) 6.73836 5.16833i 0.710286 0.544790i
\(91\) −1.72361 + 5.16840i −0.180683 + 0.541795i
\(92\) −1.65529 + 2.31321i −0.172576 + 0.241169i
\(93\) 8.17248 5.75242i 0.847447 0.596498i
\(94\) 0.247479 5.07202i 0.0255255 0.523139i
\(95\) −0.466070 + 0.807257i −0.0478178 + 0.0828228i
\(96\) 1.50339 9.68193i 0.153439 0.988158i
\(97\) −4.17304 −0.423708 −0.211854 0.977301i \(-0.567950\pi\)
−0.211854 + 0.977301i \(0.567950\pi\)
\(98\) −3.43782 9.28339i −0.347273 0.937764i
\(99\) −2.06332 11.3744i −0.207372 1.14317i
\(100\) 1.97755 + 0.193441i 0.197755 + 0.0193441i
\(101\) −5.27692 + 9.13990i −0.525073 + 0.909454i 0.474500 + 0.880255i \(0.342629\pi\)
−0.999574 + 0.0291983i \(0.990705\pi\)
\(102\) 13.9179 0.570533i 1.37807 0.0564912i
\(103\) 9.20735 5.31587i 0.907227 0.523788i 0.0276894 0.999617i \(-0.491185\pi\)
0.879538 + 0.475829i \(0.157852\pi\)
\(104\) −5.76221 0.848859i −0.565031 0.0832375i
\(105\) 8.92650 + 2.11050i 0.871138 + 0.205963i
\(106\) −3.78750 + 1.94706i −0.367874 + 0.189115i
\(107\) 4.86572 2.80922i 0.470386 0.271578i −0.246015 0.969266i \(-0.579121\pi\)
0.716401 + 0.697688i \(0.245788\pi\)
\(108\) −6.65718 7.98010i −0.640587 0.767885i
\(109\) −9.15046 5.28302i −0.876456 0.506022i −0.00696746 0.999976i \(-0.502218\pi\)
−0.869488 + 0.493954i \(0.835551\pi\)
\(110\) −5.90779 + 9.16942i −0.563286 + 0.874270i
\(111\) 0.101986 + 1.13361i 0.00968009 + 0.107598i
\(112\) 9.12954 5.35270i 0.862661 0.505783i
\(113\) 15.9104i 1.49673i 0.663288 + 0.748364i \(0.269160\pi\)
−0.663288 + 0.748364i \(0.730840\pi\)
\(114\) 1.01041 + 0.529413i 0.0946338 + 0.0495840i
\(115\) 1.42339 2.46538i 0.132731 0.229898i
\(116\) 7.65316 + 16.8610i 0.710578 + 1.56550i
\(117\) −4.71282 + 3.99417i −0.435701 + 0.369261i
\(118\) −4.27089 8.30790i −0.393167 0.764804i
\(119\) 9.98075 + 11.2586i 0.914934 + 1.03207i
\(120\) −0.554119 + 9.79026i −0.0505839 + 0.893724i
\(121\) 1.92419 + 3.33279i 0.174926 + 0.302981i
\(122\) −13.8726 0.676885i −1.25597 0.0612823i
\(123\) −13.2471 6.13763i −1.19445 0.553412i
\(124\) −1.12347 + 11.4852i −0.100891 + 1.03141i
\(125\) −11.9967 −1.07302
\(126\) 2.13313 11.0204i 0.190034 0.981777i
\(127\) 17.8415i 1.58317i 0.611056 + 0.791587i \(0.290745\pi\)
−0.611056 + 0.791587i \(0.709255\pi\)
\(128\) 7.33957 + 8.60992i 0.648732 + 0.761017i
\(129\) 4.93002 10.6407i 0.434064 0.936858i
\(130\) 5.82221 + 0.284083i 0.510641 + 0.0249157i
\(131\) 2.10794 1.21702i 0.184172 0.106332i −0.405080 0.914281i \(-0.632756\pi\)
0.589251 + 0.807950i \(0.299423\pi\)
\(132\) 11.5078 + 6.76400i 1.00162 + 0.588730i
\(133\) 0.246843 + 1.20712i 0.0214040 + 0.104671i
\(134\) 9.51540 4.89164i 0.822006 0.422573i
\(135\) 7.40847 + 7.30002i 0.637620 + 0.628286i
\(136\) −9.98649 + 12.6087i −0.856334 + 1.08119i
\(137\) 2.69513 + 1.55603i 0.230260 + 0.132941i 0.610692 0.791868i \(-0.290891\pi\)
−0.380432 + 0.924809i \(0.624225\pi\)
\(138\) −3.08582 1.61684i −0.262682 0.137634i
\(139\) 7.95494 0.674729 0.337364 0.941374i \(-0.390465\pi\)
0.337364 + 0.941374i \(0.390465\pi\)
\(140\) −8.57203 + 6.22113i −0.724469 + 0.525781i
\(141\) 6.19430 0.557275i 0.521654 0.0469310i
\(142\) 16.6942 + 10.7560i 1.40095 + 0.902621i
\(143\) 3.96749 6.87189i 0.331778 0.574656i
\(144\) 11.9985 + 0.186818i 0.999879 + 0.0155682i
\(145\) −9.26582 16.0489i −0.769485 1.33279i
\(146\) 5.08416 2.61364i 0.420768 0.216307i
\(147\) 10.6797 5.73959i 0.880851 0.473394i
\(148\) −1.06881 0.764820i −0.0878554 0.0628678i
\(149\) −5.27692 9.13990i −0.432302 0.748769i 0.564769 0.825249i \(-0.308965\pi\)
−0.997071 + 0.0764797i \(0.975632\pi\)
\(150\) 0.0996743 + 2.43151i 0.00813837 + 0.198532i
\(151\) −15.2482 8.80356i −1.24088 0.716424i −0.271608 0.962408i \(-0.587556\pi\)
−0.969274 + 0.245984i \(0.920889\pi\)
\(152\) −1.22451 + 0.485306i −0.0993209 + 0.0393635i
\(153\) 3.04501 + 16.7862i 0.246175 + 1.35708i
\(154\) 2.19669 + 14.2496i 0.177014 + 1.14827i
\(155\) 11.5494i 0.927674i
\(156\) 0.0555288 7.13319i 0.00444586 0.571112i
\(157\) −2.13267 1.23130i −0.170206 0.0982682i 0.412477 0.910968i \(-0.364664\pi\)
−0.582683 + 0.812700i \(0.697997\pi\)
\(158\) −0.00796186 0.000388483i −0.000633411 3.09060e-5i
\(159\) −3.00214 4.26515i −0.238085 0.338248i
\(160\) −8.14954 7.86087i −0.644277 0.621457i
\(161\) −0.753863 3.68658i −0.0594127 0.290543i
\(162\) 8.55457 9.42440i 0.672110 0.740451i
\(163\) −4.83382 8.37243i −0.378614 0.655779i 0.612247 0.790667i \(-0.290266\pi\)
−0.990861 + 0.134888i \(0.956933\pi\)
\(164\) 15.3511 6.96784i 1.19872 0.544097i
\(165\) −12.1215 5.61610i −0.943654 0.437213i
\(166\) −6.56014 + 10.1819i −0.509166 + 0.790270i
\(167\) 12.7380 0.985699 0.492850 0.870114i \(-0.335955\pi\)
0.492850 + 0.870114i \(0.335955\pi\)
\(168\) 8.03637 + 10.1694i 0.620020 + 0.784586i
\(169\) 8.75955 0.673811
\(170\) 8.71862 13.5321i 0.668688 1.03786i
\(171\) −0.471369 + 1.31515i −0.0360465 + 0.100572i
\(172\) 5.59688 + 12.3307i 0.426758 + 0.940208i
\(173\) 5.87501 + 10.1758i 0.446668 + 0.773652i 0.998167 0.0605236i \(-0.0192770\pi\)
−0.551498 + 0.834176i \(0.685944\pi\)
\(174\) −19.1589 + 12.1339i −1.45243 + 0.919872i
\(175\) −1.96692 + 1.74368i −0.148685 + 0.131810i
\(176\) −14.5888 + 4.97393i −1.09967 + 0.374924i
\(177\) 9.35562 6.58520i 0.703212 0.494974i
\(178\) 13.2771 + 0.647827i 0.995157 + 0.0485567i
\(179\) 8.89943 + 5.13809i 0.665175 + 0.384039i 0.794246 0.607597i \(-0.207866\pi\)
−0.129071 + 0.991635i \(0.541200\pi\)
\(180\) −11.9695 + 0.982976i −0.892151 + 0.0732667i
\(181\) 4.76352i 0.354070i −0.984205 0.177035i \(-0.943349\pi\)
0.984205 0.177035i \(-0.0566505\pi\)
\(182\) 6.00783 4.82414i 0.445330 0.357589i
\(183\) −1.52422 16.9422i −0.112673 1.25240i
\(184\) 3.73968 1.48213i 0.275693 0.109264i
\(185\) 1.13911 + 0.657668i 0.0837494 + 0.0483527i
\(186\) −14.1218 + 0.578891i −1.03546 + 0.0424464i
\(187\) −10.9565 18.9772i −0.801217 1.38775i
\(188\) −4.17914 + 5.84020i −0.304795 + 0.425941i
\(189\) 13.7286 + 0.724423i 0.998611 + 0.0526940i
\(190\) 1.17240 0.602702i 0.0850548 0.0437246i
\(191\) 1.19496 + 2.06973i 0.0864644 + 0.149761i 0.906014 0.423247i \(-0.139110\pi\)
−0.819550 + 0.573008i \(0.805776\pi\)
\(192\) −9.20319 + 10.3586i −0.664183 + 0.747570i
\(193\) −3.18130 + 5.51018i −0.228995 + 0.396631i −0.957511 0.288398i \(-0.906877\pi\)
0.728515 + 0.685029i \(0.240211\pi\)
\(194\) 4.96103 + 3.19636i 0.356181 + 0.229485i
\(195\) 0.639700 + 7.11049i 0.0458099 + 0.509192i
\(196\) −3.02367 + 13.6696i −0.215977 + 0.976399i
\(197\) 16.9051 1.20444 0.602219 0.798331i \(-0.294284\pi\)
0.602219 + 0.798331i \(0.294284\pi\)
\(198\) −6.25937 + 15.1027i −0.444834 + 1.07330i
\(199\) −11.2472 6.49358i −0.797293 0.460318i 0.0452304 0.998977i \(-0.485598\pi\)
−0.842524 + 0.538659i \(0.818931\pi\)
\(200\) −2.20280 1.74468i −0.155761 0.123367i
\(201\) 7.54232 + 10.7154i 0.531994 + 0.755806i
\(202\) 13.2741 6.82389i 0.933962 0.480127i
\(203\) −23.2370 7.74931i −1.63092 0.543895i
\(204\) −16.9830 9.98219i −1.18905 0.698893i
\(205\) −14.6117 + 8.43610i −1.02053 + 0.589202i
\(206\) −15.0177 0.732757i −1.04633 0.0510536i
\(207\) 1.43957 4.01650i 0.100057 0.279166i
\(208\) 6.20009 + 5.42274i 0.429899 + 0.375999i
\(209\) 1.79448i 0.124127i
\(210\) −8.99554 9.34631i −0.620751 0.644957i
\(211\) −4.34903 −0.299400 −0.149700 0.988731i \(-0.547831\pi\)
−0.149700 + 0.988731i \(0.547831\pi\)
\(212\) 5.99405 + 0.586331i 0.411673 + 0.0402694i
\(213\) −10.2249 + 22.0688i −0.700599 + 1.51213i
\(214\) −7.93624 0.387233i −0.542510 0.0264707i
\(215\) −6.77624 11.7368i −0.462136 0.800443i
\(216\) 1.80185 + 14.5861i 0.122600 + 0.992456i
\(217\) −10.1270 11.4235i −0.687464 0.775480i
\(218\) 6.83178 + 13.2894i 0.462707 + 0.900075i
\(219\) 4.02993 + 5.72533i 0.272317 + 0.386882i
\(220\) 14.0467 6.37576i 0.947029 0.429854i
\(221\) −5.85515 + 10.1414i −0.393860 + 0.682185i
\(222\) 0.747050 1.42579i 0.0501387 0.0956925i
\(223\) 25.7814i 1.72645i 0.504820 + 0.863225i \(0.331559\pi\)
−0.504820 + 0.863225i \(0.668441\pi\)
\(224\) −14.9534 0.629368i −0.999115 0.0420514i
\(225\) −2.93262 + 0.531976i −0.195508 + 0.0354651i
\(226\) 12.1867 18.9148i 0.810645 1.25819i
\(227\) −1.40958 0.813824i −0.0935574 0.0540154i 0.452491 0.891769i \(-0.350535\pi\)
−0.546049 + 0.837753i \(0.683869\pi\)
\(228\) −0.795702 1.40331i −0.0526966 0.0929365i
\(229\) 12.1735 7.02837i 0.804448 0.464448i −0.0405764 0.999176i \(-0.512919\pi\)
0.845024 + 0.534728i \(0.179586\pi\)
\(230\) −3.58053 + 1.84066i −0.236093 + 0.121370i
\(231\) −16.9137 + 5.07366i −1.11284 + 0.333822i
\(232\) 3.81646 25.9068i 0.250563 1.70087i
\(233\) 15.5827 8.99668i 1.02086 0.589392i 0.106505 0.994312i \(-0.466034\pi\)
0.914352 + 0.404920i \(0.132701\pi\)
\(234\) 8.66209 1.13857i 0.566259 0.0744309i
\(235\) 3.59364 6.22438i 0.234424 0.406033i
\(236\) −1.28612 + 13.1480i −0.0837193 + 0.855860i
\(237\) −0.000874789 0.00972357i −5.68236e−5 0.000631614i
\(238\) −3.24183 21.0293i −0.210137 1.36313i
\(239\) −16.0533 −1.03840 −0.519200 0.854653i \(-0.673770\pi\)
−0.519200 + 0.854653i \(0.673770\pi\)
\(240\) 8.15764 11.2145i 0.526574 0.723893i
\(241\) 3.64298 6.30983i 0.234665 0.406452i −0.724510 0.689264i \(-0.757934\pi\)
0.959175 + 0.282812i \(0.0912673\pi\)
\(242\) 0.265236 5.43595i 0.0170500 0.349436i
\(243\) 12.8782 + 8.78358i 0.826139 + 0.563467i
\(244\) 15.9737 + 11.4305i 1.02261 + 0.731761i
\(245\) 1.67988 13.9103i 0.107324 0.888697i
\(246\) 11.0474 + 17.4433i 0.704356 + 1.11214i
\(247\) −0.830491 + 0.479484i −0.0528429 + 0.0305089i
\(248\) 10.1328 12.7935i 0.643433 0.812385i
\(249\) −13.4599 6.23624i −0.852988 0.395205i
\(250\) 14.2621 + 9.18895i 0.902012 + 0.581160i
\(251\) 22.3471i 1.41053i 0.708942 + 0.705267i \(0.249173\pi\)
−0.708942 + 0.705267i \(0.750827\pi\)
\(252\) −10.9771 + 11.4675i −0.691490 + 0.722386i
\(253\) 5.48036i 0.344547i
\(254\) 13.6658 21.2105i 0.857466 1.33086i
\(255\) 17.8886 + 8.28814i 1.12023 + 0.519024i
\(256\) −2.13068 15.8575i −0.133168 0.991094i
\(257\) −2.61954 + 1.51239i −0.163402 + 0.0943404i −0.579471 0.814993i \(-0.696741\pi\)
0.416069 + 0.909333i \(0.363408\pi\)
\(258\) −14.0112 + 8.87375i −0.872300 + 0.552455i
\(259\) 1.70336 0.348318i 0.105842 0.0216434i
\(260\) −6.70401 4.79727i −0.415765 0.297514i
\(261\) −17.9577 21.1888i −1.11156 1.31155i
\(262\) −3.43816 0.167758i −0.212410 0.0103641i
\(263\) 10.7454 18.6116i 0.662590 1.14764i −0.317342 0.948311i \(-0.602790\pi\)
0.979933 0.199329i \(-0.0638762\pi\)
\(264\) −8.49985 16.8557i −0.523130 1.03739i
\(265\) −6.02755 −0.370270
\(266\) 0.631148 1.62413i 0.0386982 0.0995821i
\(267\) 1.45878 + 16.2149i 0.0892760 + 0.992333i
\(268\) −15.0590 1.47305i −0.919872 0.0899808i
\(269\) 10.9385 18.9460i 0.666929 1.15516i −0.311829 0.950138i \(-0.600942\pi\)
0.978758 0.205017i \(-0.0657250\pi\)
\(270\) −3.21592 14.3530i −0.195715 0.873497i
\(271\) 9.03323 5.21534i 0.548729 0.316809i −0.199880 0.979820i \(-0.564055\pi\)
0.748609 + 0.663011i \(0.230722\pi\)
\(272\) 21.5299 7.34043i 1.30544 0.445079i
\(273\) 6.86746 + 6.47206i 0.415637 + 0.391707i
\(274\) −2.01219 3.91420i −0.121561 0.236465i
\(275\) 3.31539 1.91414i 0.199925 0.115427i
\(276\) 2.43009 + 4.28574i 0.146274 + 0.257971i
\(277\) 18.7719 + 10.8380i 1.12790 + 0.651191i 0.943405 0.331643i \(-0.107603\pi\)
0.184492 + 0.982834i \(0.440936\pi\)
\(278\) −9.45706 6.09312i −0.567197 0.365441i
\(279\) −3.08962 17.0321i −0.184971 1.01969i
\(280\) 14.9558 0.830071i 0.893779 0.0496062i
\(281\) 8.35022i 0.498132i 0.968487 + 0.249066i \(0.0801236\pi\)
−0.968487 + 0.249066i \(0.919876\pi\)
\(282\) −7.79081 4.08205i −0.463936 0.243082i
\(283\) −11.3999 + 19.7453i −0.677656 + 1.17374i 0.298028 + 0.954557i \(0.403671\pi\)
−0.975685 + 0.219178i \(0.929662\pi\)
\(284\) −11.6080 25.5740i −0.688807 1.51754i
\(285\) 0.929295 + 1.32025i 0.0550467 + 0.0782050i
\(286\) −9.98022 + 5.13058i −0.590143 + 0.303378i
\(287\) −7.05538 + 21.1562i −0.416466 + 1.24881i
\(288\) −14.1211 9.41244i −0.832095 0.554633i
\(289\) 7.66938 + 13.2838i 0.451140 + 0.781398i
\(290\) −1.27723 + 26.1766i −0.0750017 + 1.53714i
\(291\) −3.03854 + 6.55821i −0.178122 + 0.384449i
\(292\) −8.04613 0.787063i −0.470864 0.0460594i
\(293\) −6.51811 −0.380792 −0.190396 0.981707i \(-0.560977\pi\)
−0.190396 + 0.981707i \(0.560977\pi\)
\(294\) −17.0927 1.35681i −0.996864 0.0791306i
\(295\) 13.2215i 0.769784i
\(296\) 0.684812 + 1.72790i 0.0398039 + 0.100432i
\(297\) −19.3781 5.03950i −1.12443 0.292421i
\(298\) −0.727389 + 14.9077i −0.0421365 + 0.863577i
\(299\) 2.53633 1.46435i 0.146680 0.0846858i
\(300\) 1.74393 2.96699i 0.100686 0.171299i
\(301\) −16.9936 5.66719i −0.979496 0.326652i
\(302\) 11.3844 + 22.1454i 0.655098 + 1.27432i
\(303\) 10.5216 + 14.9481i 0.604452 + 0.858747i
\(304\) 1.82746 + 0.360973i 0.104812 + 0.0207032i
\(305\) −17.0244 9.82906i −0.974817 0.562811i
\(306\) 9.23747 22.2883i 0.528071 1.27414i
\(307\) −12.7577 −0.728122 −0.364061 0.931375i \(-0.618610\pi\)
−0.364061 + 0.931375i \(0.618610\pi\)
\(308\) 8.30308 18.6229i 0.473112 1.06114i
\(309\) −1.65003 18.3406i −0.0938669 1.04336i
\(310\) −8.84635 + 13.7303i −0.502439 + 0.779829i
\(311\) −4.72369 + 8.18167i −0.267856 + 0.463940i −0.968308 0.249760i \(-0.919648\pi\)
0.700452 + 0.713699i \(0.252982\pi\)
\(312\) −5.52971 + 8.43760i −0.313058 + 0.477685i
\(313\) 2.87628 + 4.98187i 0.162577 + 0.281592i 0.935792 0.352552i \(-0.114686\pi\)
−0.773215 + 0.634144i \(0.781353\pi\)
\(314\) 1.59226 + 3.09733i 0.0898565 + 0.174792i
\(315\) 9.81649 12.4919i 0.553097 0.703836i
\(316\) 0.00916773 + 0.00656026i 0.000515725 + 0.000369043i
\(317\) 6.69015 + 11.5877i 0.375756 + 0.650829i 0.990440 0.137945i \(-0.0440496\pi\)
−0.614684 + 0.788774i \(0.710716\pi\)
\(318\) 0.302118 + 7.37003i 0.0169420 + 0.413291i
\(319\) 30.8959 + 17.8378i 1.72984 + 0.998723i
\(320\) 3.66733 + 15.5874i 0.205010 + 0.871362i
\(321\) −0.871974 9.69229i −0.0486688 0.540971i
\(322\) −1.92754 + 4.96013i −0.107417 + 0.276417i
\(323\) 2.64826i 0.147353i
\(324\) −17.3886 + 4.65159i −0.966032 + 0.258422i
\(325\) −1.77174 1.02292i −0.0982787 0.0567412i
\(326\) −0.666311 + 13.6559i −0.0369035 + 0.756329i
\(327\) −14.9654 + 10.5338i −0.827588 + 0.582520i
\(328\) −23.5869 3.47471i −1.30237 0.191859i
\(329\) −1.90329 9.30756i −0.104932 0.513142i
\(330\) 10.1087 + 15.9611i 0.556463 + 0.878628i
\(331\) 2.24337 + 3.88563i 0.123307 + 0.213573i 0.921070 0.389398i \(-0.127317\pi\)
−0.797763 + 0.602971i \(0.793983\pi\)
\(332\) 15.5978 7.07978i 0.856038 0.388554i
\(333\) 1.85580 + 0.665145i 0.101697 + 0.0364497i
\(334\) −15.1434 9.75676i −0.828607 0.533866i
\(335\) 15.1431 0.827358
\(336\) −1.76457 18.2452i −0.0962654 0.995356i
\(337\) −9.02628 −0.491693 −0.245846 0.969309i \(-0.579066\pi\)
−0.245846 + 0.969309i \(0.579066\pi\)
\(338\) −10.4136 6.70941i −0.566425 0.364944i
\(339\) 25.0043 + 11.5850i 1.35805 + 0.629209i
\(340\) −20.7299 + 9.40924i −1.12424 + 0.510288i
\(341\) 11.1170 + 19.2552i 0.602019 + 1.04273i
\(342\) 1.56772 1.20245i 0.0847728 0.0650208i
\(343\) −10.5355 15.2317i −0.568863 0.822432i
\(344\) 2.79104 18.9461i 0.150483 1.02150i
\(345\) −2.83808 4.03208i −0.152797 0.217080i
\(346\) 0.809831 16.5973i 0.0435368 0.892275i
\(347\) 0.882015 + 0.509232i 0.0473491 + 0.0273370i 0.523488 0.852033i \(-0.324631\pi\)
−0.476139 + 0.879370i \(0.657964\pi\)
\(348\) 32.0707 + 0.249657i 1.71917 + 0.0133830i
\(349\) 9.91220i 0.530588i 0.964168 + 0.265294i \(0.0854690\pi\)
−0.964168 + 0.265294i \(0.914531\pi\)
\(350\) 3.67391 0.566360i 0.196379 0.0302732i
\(351\) 2.84552 + 10.3148i 0.151883 + 0.550564i
\(352\) 21.1534 + 5.26123i 1.12748 + 0.280425i
\(353\) 20.6381 + 11.9154i 1.09845 + 0.634192i 0.935814 0.352494i \(-0.114666\pi\)
0.162638 + 0.986686i \(0.448000\pi\)
\(354\) −16.1662 + 0.662698i −0.859224 + 0.0352220i
\(355\) 14.0540 + 24.3422i 0.745909 + 1.29195i
\(356\) −15.2879 10.9398i −0.810259 0.579807i
\(357\) 24.9610 7.48761i 1.32107 0.396286i
\(358\) −6.64436 12.9249i −0.351165 0.683100i
\(359\) 1.66057 + 2.87619i 0.0876414 + 0.151799i 0.906514 0.422176i \(-0.138734\pi\)
−0.818872 + 0.573976i \(0.805400\pi\)
\(360\) 14.9826 + 7.99947i 0.789650 + 0.421609i
\(361\) 9.39157 16.2667i 0.494293 0.856140i
\(362\) −3.64864 + 5.66301i −0.191768 + 0.297641i
\(363\) 6.63876 0.597261i 0.348445 0.0313481i
\(364\) −10.8374 + 1.13335i −0.568032 + 0.0594035i
\(365\) 8.09111 0.423508
\(366\) −11.1649 + 21.3088i −0.583599 + 1.11383i
\(367\) −6.76756 3.90725i −0.353264 0.203957i 0.312858 0.949800i \(-0.398714\pi\)
−0.666122 + 0.745843i \(0.732047\pi\)
\(368\) −5.58108 1.10242i −0.290934 0.0574675i
\(369\) −19.2914 + 16.3497i −1.00427 + 0.851129i
\(370\) −0.850468 1.65436i −0.0442137 0.0860063i
\(371\) −5.96184 + 5.28518i −0.309524 + 0.274393i
\(372\) 17.2318 + 10.1284i 0.893426 + 0.525135i
\(373\) 27.0847 15.6374i 1.40239 0.809673i 0.407756 0.913091i \(-0.366311\pi\)
0.994638 + 0.103418i \(0.0329779\pi\)
\(374\) −1.51028 + 30.9528i −0.0780946 + 1.60053i
\(375\) −8.73525 + 18.8536i −0.451086 + 0.973598i
\(376\) 9.44162 3.74197i 0.486914 0.192977i
\(377\) 19.0650i 0.981898i
\(378\) −15.7661 11.3767i −0.810921 0.585155i
\(379\) 19.1714 0.984768 0.492384 0.870378i \(-0.336126\pi\)
0.492384 + 0.870378i \(0.336126\pi\)
\(380\) −1.85543 0.181496i −0.0951813 0.00931052i
\(381\) 28.0390 + 12.9910i 1.43648 + 0.665550i
\(382\) 0.164718 3.37585i 0.00842768 0.172723i
\(383\) −13.9774 24.2095i −0.714209 1.23705i −0.963264 0.268558i \(-0.913453\pi\)
0.249054 0.968490i \(-0.419880\pi\)
\(384\) 18.8753 5.26542i 0.963224 0.268700i
\(385\) −6.45587 + 19.3585i −0.329021 + 0.986602i
\(386\) 8.00257 4.11392i 0.407320 0.209393i
\(387\) −13.1328 15.4957i −0.667576 0.787690i
\(388\) −3.44955 7.59985i −0.175124 0.385824i
\(389\) −7.27120 + 12.5941i −0.368664 + 0.638545i −0.989357 0.145509i \(-0.953518\pi\)
0.620693 + 0.784054i \(0.286851\pi\)
\(390\) 4.68581 8.94313i 0.237275 0.452853i
\(391\) 8.08782i 0.409019i
\(392\) 14.0649 13.9348i 0.710385 0.703813i
\(393\) −0.377759 4.19892i −0.0190554 0.211808i
\(394\) −20.0972 12.9485i −1.01248 0.652337i
\(395\) −0.00977078 0.00564117i −0.000491622 0.000283838i
\(396\) 19.0093 13.1601i 0.955253 0.661320i
\(397\) −31.2547 + 18.0449i −1.56863 + 0.905647i −0.572297 + 0.820046i \(0.693948\pi\)
−0.996330 + 0.0856008i \(0.972719\pi\)
\(398\) 8.39722 + 16.3346i 0.420915 + 0.818780i
\(399\) 2.07681 + 0.491020i 0.103971 + 0.0245818i
\(400\) 1.28240 + 3.76136i 0.0641201 + 0.188068i
\(401\) 2.65616 1.53353i 0.132642 0.0765811i −0.432211 0.901773i \(-0.642266\pi\)
0.564853 + 0.825192i \(0.308933\pi\)
\(402\) −0.759018 18.5159i −0.0378564 0.923487i
\(403\) 5.94093 10.2900i 0.295939 0.512581i
\(404\) −21.0074 2.05492i −1.04516 0.102236i
\(405\) 16.8668 6.32749i 0.838120 0.314415i
\(406\) 21.6892 + 27.0111i 1.07642 + 1.34054i
\(407\) −2.53217 −0.125515
\(408\) 12.5439 + 24.8753i 0.621017 + 1.23151i
\(409\) −13.6122 + 23.5770i −0.673080 + 1.16581i 0.303947 + 0.952689i \(0.401696\pi\)
−0.977026 + 0.213119i \(0.931638\pi\)
\(410\) 23.8325 + 1.16286i 1.17700 + 0.0574296i
\(411\) 4.40782 3.10256i 0.217422 0.153038i
\(412\) 17.2922 + 12.3740i 0.851925 + 0.609622i
\(413\) −11.5931 13.0773i −0.570457 0.643494i
\(414\) −4.78786 + 3.67229i −0.235310 + 0.180483i
\(415\) −14.8465 + 8.57162i −0.728785 + 0.420764i
\(416\) −3.21728 11.1957i −0.157740 0.548914i
\(417\) 5.79228 12.5017i 0.283649 0.612211i
\(418\) −1.37449 + 2.13332i −0.0672284 + 0.104344i
\(419\) 8.16587i 0.398929i 0.979905 + 0.199465i \(0.0639203\pi\)
−0.979905 + 0.199465i \(0.936080\pi\)
\(420\) 3.53531 + 18.0013i 0.172505 + 0.878376i
\(421\) 7.30698i 0.356121i −0.984020 0.178060i \(-0.943018\pi\)
0.984020 0.178060i \(-0.0569822\pi\)
\(422\) 5.17026 + 3.33116i 0.251684 + 0.162158i
\(423\) 3.63450 10.1405i 0.176715 0.493049i
\(424\) −6.67679 5.28821i −0.324254 0.256818i
\(425\) −4.89279 + 2.82485i −0.237335 + 0.137026i
\(426\) 29.0594 18.4042i 1.40793 0.891689i
\(427\) −25.4573 + 5.20573i −1.23197 + 0.251923i
\(428\) 9.13822 + 6.53915i 0.441713 + 0.316082i
\(429\) −7.91075 11.2388i −0.381935 0.542616i
\(430\) −0.934060 + 19.1433i −0.0450444 + 0.923174i
\(431\) −1.44464 + 2.50219i −0.0695858 + 0.120526i −0.898719 0.438525i \(-0.855501\pi\)
0.829133 + 0.559051i \(0.188834\pi\)
\(432\) 9.03017 18.7205i 0.434464 0.900689i
\(433\) 23.0768 1.10900 0.554499 0.832184i \(-0.312910\pi\)
0.554499 + 0.832184i \(0.312910\pi\)
\(434\) 3.28932 + 21.3374i 0.157893 + 1.02423i
\(435\) −31.9686 + 2.87608i −1.53278 + 0.137898i
\(436\) 2.05730 21.0317i 0.0985267 1.00724i
\(437\) 0.331160 0.573586i 0.0158415 0.0274384i
\(438\) −0.405550 9.89318i −0.0193779 0.472715i
\(439\) 2.57178 1.48482i 0.122744 0.0708664i −0.437371 0.899281i \(-0.644090\pi\)
0.560115 + 0.828415i \(0.310757\pi\)
\(440\) −21.5827 3.17945i −1.02891 0.151574i
\(441\) −1.24384 20.9631i −0.0592304 0.998244i
\(442\) 14.7286 7.57163i 0.700569 0.360146i
\(443\) −17.0338 + 9.83448i −0.809301 + 0.467250i −0.846713 0.532050i \(-0.821422\pi\)
0.0374121 + 0.999300i \(0.488089\pi\)
\(444\) −1.98020 + 1.12281i −0.0939762 + 0.0532861i
\(445\) 16.2936 + 9.40711i 0.772390 + 0.445940i
\(446\) 19.7474 30.6497i 0.935065 1.45130i
\(447\) −18.2063 + 1.63794i −0.861127 + 0.0774719i
\(448\) 17.2950 + 12.2018i 0.817110 + 0.576482i
\(449\) 36.3243i 1.71425i −0.515111 0.857124i \(-0.672249\pi\)
0.515111 0.857124i \(-0.327751\pi\)
\(450\) 3.89385 + 1.61382i 0.183558 + 0.0760763i
\(451\) 16.2404 28.1293i 0.764733 1.32456i
\(452\) −28.9757 + 13.1520i −1.36290 + 0.618618i
\(453\) −24.9381 + 17.5534i −1.17170 + 0.824730i
\(454\) 1.05240 + 2.04717i 0.0493917 + 0.0960786i
\(455\) 10.6842 2.18480i 0.500884 0.102425i
\(456\) −0.128919 + 2.27777i −0.00603721 + 0.106666i
\(457\) −13.7632 23.8385i −0.643814 1.11512i −0.984574 0.174968i \(-0.944018\pi\)
0.340760 0.940150i \(-0.389316\pi\)
\(458\) −19.8556 0.968815i −0.927792 0.0452697i
\(459\) 28.5978 + 7.43720i 1.33483 + 0.347139i
\(460\) 5.66650 + 0.554290i 0.264202 + 0.0258439i
\(461\) −19.4067 −0.903861 −0.451931 0.892053i \(-0.649265\pi\)
−0.451931 + 0.892053i \(0.649265\pi\)
\(462\) 23.9937 + 6.92343i 1.11629 + 0.322107i
\(463\) 8.27807i 0.384715i −0.981325 0.192357i \(-0.938387\pi\)
0.981325 0.192357i \(-0.0616132\pi\)
\(464\) −24.3806 + 27.8755i −1.13184 + 1.29409i
\(465\) −18.1507 8.40957i −0.841719 0.389984i
\(466\) −25.4162 1.24013i −1.17738 0.0574481i
\(467\) −13.6618 + 7.88767i −0.632194 + 0.364998i −0.781601 0.623778i \(-0.785597\pi\)
0.149407 + 0.988776i \(0.452264\pi\)
\(468\) −11.1698 5.28120i −0.516326 0.244123i
\(469\) 14.9781 13.2780i 0.691622 0.613123i
\(470\) −9.03982 + 4.64715i −0.416976 + 0.214357i
\(471\) −3.48794 + 2.45508i −0.160716 + 0.113124i
\(472\) 11.5997 14.6456i 0.533921 0.674118i
\(473\) 22.5947 + 13.0450i 1.03890 + 0.599812i
\(474\) −0.00640784 + 0.0122297i −0.000294322 + 0.000561729i
\(475\) −0.462661 −0.0212283
\(476\) −12.2535 + 27.4834i −0.561640 + 1.25970i
\(477\) −8.88892 + 1.61245i −0.406996 + 0.0738289i
\(478\) 19.0846 + 12.2961i 0.872908 + 0.562409i
\(479\) −6.21288 + 10.7610i −0.283874 + 0.491684i −0.972335 0.233589i \(-0.924953\pi\)
0.688462 + 0.725273i \(0.258286\pi\)
\(480\) −18.2878 + 7.08375i −0.834722 + 0.323327i
\(481\) 0.676597 + 1.17190i 0.0308502 + 0.0534340i
\(482\) −9.16393 + 4.71095i −0.417405 + 0.214578i
\(483\) −6.34261 1.49959i −0.288599 0.0682335i
\(484\) −4.47901 + 6.25926i −0.203591 + 0.284512i
\(485\) 4.17643 + 7.23379i 0.189642 + 0.328470i
\(486\) −8.58218 20.3063i −0.389296 0.921113i
\(487\) 13.8846 + 8.01628i 0.629172 + 0.363252i 0.780431 0.625242i \(-0.215000\pi\)
−0.151260 + 0.988494i \(0.548333\pi\)
\(488\) −10.2347 25.8240i −0.463305 1.16900i
\(489\) −16.6775 + 1.50040i −0.754183 + 0.0678506i
\(490\) −12.6518 + 15.2503i −0.571548 + 0.688937i
\(491\) 9.44091i 0.426062i −0.977045 0.213031i \(-0.931666\pi\)
0.977045 0.213031i \(-0.0683336\pi\)
\(492\) 0.227301 29.1989i 0.0102475 1.31639i
\(493\) −45.5956 26.3247i −2.05352 1.18560i
\(494\) 1.35457 + 0.0660937i 0.0609452 + 0.00297370i
\(495\) −17.6521 + 14.9604i −0.793405 + 0.672419i
\(496\) −21.8454 + 7.44797i −0.980886 + 0.334424i
\(497\) 35.2449 + 11.7538i 1.58095 + 0.527231i
\(498\) 11.2249 + 17.7235i 0.502998 + 0.794209i
\(499\) 15.9322 + 27.5954i 0.713225 + 1.23534i 0.963640 + 0.267203i \(0.0860995\pi\)
−0.250415 + 0.968139i \(0.580567\pi\)
\(500\) −9.91683 21.8482i −0.443494 0.977080i
\(501\) 9.27503 20.0187i 0.414378 0.894368i
\(502\) 17.1168 26.5668i 0.763961 1.18574i
\(503\) −5.16274 −0.230195 −0.115098 0.993354i \(-0.536718\pi\)
−0.115098 + 0.993354i \(0.536718\pi\)
\(504\) 21.8335 5.22498i 0.972539 0.232739i
\(505\) 21.1248 0.940043
\(506\) 4.19771 6.51521i 0.186611 0.289636i
\(507\) 6.37814 13.7662i 0.283263 0.611378i
\(508\) −32.4925 + 14.7483i −1.44162 + 0.654348i
\(509\) 1.78554 + 3.09264i 0.0791426 + 0.137079i 0.902880 0.429892i \(-0.141448\pi\)
−0.823738 + 0.566971i \(0.808115\pi\)
\(510\) −14.9182 23.5551i −0.660588 1.04304i
\(511\) 8.00290 7.09458i 0.354028 0.313846i
\(512\) −9.61311 + 20.4839i −0.424843 + 0.905267i
\(513\) 1.72363 + 1.69840i 0.0761001 + 0.0749861i
\(514\) 4.27261 + 0.208473i 0.188457 + 0.00919536i
\(515\) −18.4297 10.6404i −0.812109 0.468871i
\(516\) 23.4538 + 0.182578i 1.03250 + 0.00803754i
\(517\) 13.8363i 0.608522i
\(518\) −2.29180 0.890608i −0.100696 0.0391311i
\(519\) 20.2698 1.82358i 0.889743 0.0800464i
\(520\) 4.29543 + 10.8381i 0.188367 + 0.475282i
\(521\) 5.95306 + 3.43700i 0.260808 + 0.150578i 0.624703 0.780862i \(-0.285220\pi\)
−0.363895 + 0.931440i \(0.618553\pi\)
\(522\) 5.11901 + 38.9446i 0.224053 + 1.70456i
\(523\) −6.59397 11.4211i −0.288334 0.499410i 0.685078 0.728470i \(-0.259768\pi\)
−0.973412 + 0.229060i \(0.926435\pi\)
\(524\) 3.95889 + 2.83291i 0.172945 + 0.123756i
\(525\) 1.30812 + 4.36078i 0.0570908 + 0.190320i
\(526\) −27.0301 + 13.8955i −1.17857 + 0.605873i
\(527\) −16.4063 28.4165i −0.714668 1.23784i
\(528\) −2.80580 + 26.5490i −0.122107 + 1.15540i
\(529\) 10.4886 18.1668i 0.456027 0.789863i
\(530\) 7.16573 + 4.61683i 0.311259 + 0.200542i
\(531\) −3.53691 19.4979i −0.153489 0.846137i
\(532\) −1.99434 + 1.44739i −0.0864656 + 0.0627522i
\(533\) −17.3578 −0.751850
\(534\) 10.6856 20.3940i 0.462411 0.882537i
\(535\) −9.73934 5.62301i −0.421069 0.243104i
\(536\) 16.7742 + 13.2857i 0.724536 + 0.573854i
\(537\) 14.5548 10.2448i 0.628087 0.442096i
\(538\) −27.5157 + 14.1451i −1.18629 + 0.609840i
\(539\) 10.5888 + 24.8082i 0.456091 + 1.06857i
\(540\) −7.17059 + 19.5265i −0.308573 + 0.840288i
\(541\) −2.61534 + 1.50996i −0.112442 + 0.0649185i −0.555166 0.831739i \(-0.687345\pi\)
0.442724 + 0.896658i \(0.354012\pi\)
\(542\) −14.7337 0.718900i −0.632865 0.0308794i
\(543\) −7.48619 3.46849i −0.321263 0.148847i
\(544\) −31.2178 7.76444i −1.33845 0.332897i
\(545\) 21.1493i 0.905936i
\(546\) −3.20693 12.9543i −0.137244 0.554394i
\(547\) −8.67520 −0.370925 −0.185462 0.982651i \(-0.559378\pi\)
−0.185462 + 0.982651i \(0.559378\pi\)
\(548\) −0.605945 + 6.19456i −0.0258847 + 0.264619i
\(549\) −27.7356 9.94081i −1.18373 0.424263i
\(550\) −5.40757 0.263852i −0.230580 0.0112507i
\(551\) −2.15575 3.73388i −0.0918382 0.159068i
\(552\) 0.393722 6.95634i 0.0167579 0.296082i
\(553\) −0.0146106 + 0.00298771i −0.000621308 + 0.000127050i
\(554\) −14.0152 27.2630i −0.595450 1.15829i
\(555\) 1.86300 1.31132i 0.0790799 0.0556625i
\(556\) 6.57577 + 14.4874i 0.278875 + 0.614401i
\(557\) −3.73163 + 6.46337i −0.158114 + 0.273862i −0.934189 0.356780i \(-0.883875\pi\)
0.776075 + 0.630641i \(0.217208\pi\)
\(558\) −9.37280 + 22.6148i −0.396782 + 0.957361i
\(559\) 13.9425i 0.589707i
\(560\) −18.4157 10.4686i −0.778204 0.442381i
\(561\) −37.8017 + 3.40086i −1.59599 + 0.143584i
\(562\) 6.39589 9.92698i 0.269794 0.418744i
\(563\) −35.8665 20.7076i −1.51159 0.872720i −0.999908 0.0135474i \(-0.995688\pi\)
−0.511687 0.859172i \(-0.670979\pi\)
\(564\) 6.13527 + 10.8203i 0.258342 + 0.455615i
\(565\) 27.5801 15.9234i 1.16030 0.669901i
\(566\) 28.6766 14.7419i 1.20537 0.619649i
\(567\) 11.1348 21.0480i 0.467617 0.883931i
\(568\) −5.78864 + 39.2943i −0.242886 + 1.64875i
\(569\) −29.0674 + 16.7821i −1.21857 + 0.703541i −0.964612 0.263674i \(-0.915066\pi\)
−0.253958 + 0.967215i \(0.581732\pi\)
\(570\) −0.0935191 2.28135i −0.00391708 0.0955553i
\(571\) 11.7720 20.3898i 0.492645 0.853286i −0.507319 0.861758i \(-0.669364\pi\)
0.999964 + 0.00847253i \(0.00269692\pi\)
\(572\) 15.7946 + 1.54501i 0.660404 + 0.0645999i
\(573\) 4.12282 0.370912i 0.172233 0.0154951i
\(574\) 24.5924 19.7470i 1.02647 0.824226i
\(575\) 1.41297 0.0589251
\(576\) 9.57810 + 22.0059i 0.399087 + 0.916913i
\(577\) 11.5230 19.9584i 0.479708 0.830879i −0.520021 0.854154i \(-0.674076\pi\)
0.999729 + 0.0232743i \(0.00740910\pi\)
\(578\) 1.05717 21.6665i 0.0439726 0.901208i
\(579\) 6.34318 + 9.01178i 0.263614 + 0.374517i
\(580\) 21.5685 30.1412i 0.895582 1.25154i
\(581\) −7.16873 + 21.4961i −0.297409 + 0.891809i
\(582\) 8.63559 5.46920i 0.357957 0.226706i
\(583\) 10.0491 5.80186i 0.416192 0.240289i
\(584\) 8.96262 + 7.09865i 0.370876 + 0.293744i
\(585\) 11.6404 + 4.17207i 0.481271 + 0.172494i
\(586\) 7.74891 + 4.99257i 0.320105 + 0.206241i
\(587\) 35.2560i 1.45517i −0.686017 0.727585i \(-0.740642\pi\)
0.686017 0.727585i \(-0.259358\pi\)
\(588\) 19.2810 + 14.7052i 0.795135 + 0.606433i
\(589\) 2.68705i 0.110718i
\(590\) −10.1270 + 15.7181i −0.416924 + 0.647103i
\(591\) 12.3092 26.5674i 0.506333 1.09284i
\(592\) 0.509367 2.57871i 0.0209348 0.105984i
\(593\) 15.9344 9.19971i 0.654346 0.377787i −0.135773 0.990740i \(-0.543352\pi\)
0.790119 + 0.612953i \(0.210019\pi\)
\(594\) 19.1772 + 20.8338i 0.786849 + 0.854822i
\(595\) 9.52745 28.5690i 0.390587 1.17121i
\(596\) 12.2833 17.1655i 0.503145 0.703126i
\(597\) −18.3946 + 12.9475i −0.752840 + 0.529907i
\(598\) −4.13690 0.201851i −0.169170 0.00825432i
\(599\) 3.46929 6.00898i 0.141751 0.245520i −0.786405 0.617711i \(-0.788060\pi\)
0.928156 + 0.372191i \(0.121393\pi\)
\(600\) −4.34581 + 2.19147i −0.177417 + 0.0894666i
\(601\) 17.3861 0.709194 0.354597 0.935019i \(-0.384618\pi\)
0.354597 + 0.935019i \(0.384618\pi\)
\(602\) 15.8617 + 19.7537i 0.646474 + 0.805099i
\(603\) 22.3318 4.05098i 0.909421 0.164969i
\(604\) 3.42825 35.0470i 0.139494 1.42604i
\(605\) 3.85150 6.67099i 0.156586 0.271214i
\(606\) −1.05884 25.8298i −0.0430124 1.04927i
\(607\) −21.1329 + 12.2011i −0.857757 + 0.495226i −0.863261 0.504758i \(-0.831582\pi\)
0.00550324 + 0.999985i \(0.498248\pi\)
\(608\) −1.89604 1.82888i −0.0768947 0.0741710i
\(609\) −29.0983 + 30.8760i −1.17912 + 1.25116i
\(610\) 12.7105 + 24.7250i 0.514634 + 1.00109i
\(611\) 6.40352 3.69707i 0.259059 0.149568i
\(612\) −28.0536 + 19.4214i −1.13400 + 0.785066i
\(613\) 7.71712 + 4.45548i 0.311692 + 0.179955i 0.647683 0.761910i \(-0.275738\pi\)
−0.335992 + 0.941865i \(0.609071\pi\)
\(614\) 15.1667 + 9.77183i 0.612080 + 0.394359i
\(615\) 2.61854 + 29.1059i 0.105590 + 1.17366i
\(616\) −24.1353 + 15.7797i −0.972437 + 0.635782i
\(617\) 43.3713i 1.74606i 0.487664 + 0.873031i \(0.337849\pi\)
−0.487664 + 0.873031i \(0.662151\pi\)
\(618\) −12.0865 + 23.0677i −0.486190 + 0.927920i
\(619\) −18.4061 + 31.8804i −0.739806 + 1.28138i 0.212777 + 0.977101i \(0.431749\pi\)
−0.952583 + 0.304280i \(0.901584\pi\)
\(620\) 21.0336 9.54709i 0.844729 0.383420i
\(621\) −5.26399 5.18694i −0.211237 0.208145i
\(622\) 11.8824 6.10847i 0.476442 0.244927i
\(623\) 24.3644 4.98225i 0.976141 0.199610i
\(624\) 13.0367 5.79536i 0.521886 0.232000i
\(625\) 9.52276 + 16.4939i 0.380910 + 0.659756i
\(626\) 0.396477 8.12569i 0.0158464 0.324768i
\(627\) −2.82014 1.30662i −0.112625 0.0521815i
\(628\) 0.479488 4.90179i 0.0191336 0.195603i
\(629\) 3.73693 0.149001
\(630\) −21.2383 + 7.33170i −0.846155 + 0.292102i
\(631\) 23.1113i 0.920045i 0.887907 + 0.460023i \(0.152159\pi\)
−0.887907 + 0.460023i \(0.847841\pi\)
\(632\) −0.00587399 0.0148211i −0.000233655 0.000589551i
\(633\) −3.16669 + 6.83479i −0.125865 + 0.271659i
\(634\) 0.922193 18.9001i 0.0366250 0.750620i
\(635\) 30.9275 17.8560i 1.22732 0.708593i
\(636\) 5.28594 8.99311i 0.209601 0.356600i
\(637\) 8.65203 11.5293i 0.342806 0.456807i
\(638\) −23.0670 44.8709i −0.913233 1.77646i
\(639\) 27.2375 + 32.1382i 1.07750 + 1.27137i
\(640\) 7.57941 21.3398i 0.299603 0.843528i
\(641\) 12.0471 + 6.95538i 0.475831 + 0.274721i 0.718677 0.695344i \(-0.244748\pi\)
−0.242847 + 0.970065i \(0.578081\pi\)
\(642\) −6.38722 + 12.1904i −0.252084 + 0.481115i
\(643\) 13.6551 0.538505 0.269252 0.963070i \(-0.413223\pi\)
0.269252 + 0.963070i \(0.413223\pi\)
\(644\) 6.09075 4.42034i 0.240009 0.174186i
\(645\) −23.3792 + 2.10332i −0.920554 + 0.0828183i
\(646\) 2.02844 3.14832i 0.0798081 0.123869i
\(647\) −15.7948 + 27.3574i −0.620958 + 1.07553i 0.368350 + 0.929687i \(0.379923\pi\)
−0.989308 + 0.145843i \(0.953411\pi\)
\(648\) 24.2350 + 7.78891i 0.952039 + 0.305977i
\(649\) 12.7264 + 22.0428i 0.499556 + 0.865256i
\(650\) 1.32279 + 2.57315i 0.0518842 + 0.100927i
\(651\) −25.3267 + 7.59731i −0.992630 + 0.297762i
\(652\) 11.2519 15.7241i 0.440659 0.615804i
\(653\) 15.3505 + 26.5879i 0.600713 + 1.04047i 0.992713 + 0.120500i \(0.0384498\pi\)
−0.392000 + 0.919965i \(0.628217\pi\)
\(654\) 25.8597 1.06006i 1.01119 0.0414517i
\(655\) −4.21931 2.43602i −0.164862 0.0951832i
\(656\) 25.3794 + 22.1973i 0.990897 + 0.866661i
\(657\) 11.9321 2.16447i 0.465514 0.0844442i
\(658\) −4.86648 + 12.5229i −0.189715 + 0.488194i
\(659\) 20.0419i 0.780720i −0.920662 0.390360i \(-0.872351\pi\)
0.920662 0.390360i \(-0.127649\pi\)
\(660\) 0.207986 26.7177i 0.00809585 1.03999i
\(661\) 27.8066 + 16.0541i 1.08155 + 0.624434i 0.931314 0.364216i \(-0.118663\pi\)
0.150237 + 0.988650i \(0.451996\pi\)
\(662\) 0.309234 6.33767i 0.0120187 0.246320i
\(663\) 11.6746 + 16.5861i 0.453402 + 0.644150i
\(664\) −23.9659 3.53053i −0.930056 0.137011i
\(665\) 1.84546 1.63600i 0.0715637 0.0634413i
\(666\) −1.69676 2.21220i −0.0657482 0.0857212i
\(667\) 6.58371 + 11.4033i 0.254922 + 0.441538i
\(668\) 10.5296 + 23.1982i 0.407403 + 0.897567i
\(669\) 40.5171 + 18.7724i 1.56648 + 0.725781i
\(670\) −18.0026 11.5990i −0.695501 0.448107i
\(671\) 37.8441 1.46096
\(672\) −11.8772 + 23.0420i −0.458173 + 0.888863i
\(673\) −39.5520 −1.52462 −0.762308 0.647214i \(-0.775934\pi\)
−0.762308 + 0.647214i \(0.775934\pi\)
\(674\) 10.7307 + 6.91372i 0.413331 + 0.266306i
\(675\) −1.29931 + 4.99615i −0.0500104 + 0.192302i
\(676\) 7.24088 + 15.9527i 0.278495 + 0.613565i
\(677\) −20.5606 35.6119i −0.790206 1.36868i −0.925839 0.377918i \(-0.876640\pi\)
0.135633 0.990759i \(-0.456693\pi\)
\(678\) −20.8523 32.9247i −0.800826 1.26446i
\(679\) 10.4738 + 3.49289i 0.401946 + 0.134045i
\(680\) 31.8513 + 4.69218i 1.22144 + 0.179937i
\(681\) −2.30535 + 1.62268i −0.0883411 + 0.0621812i
\(682\) 1.53240 31.4063i 0.0586788 1.20261i
\(683\) −1.63043 0.941329i −0.0623866 0.0360189i 0.468482 0.883473i \(-0.344801\pi\)
−0.530869 + 0.847454i \(0.678134\pi\)
\(684\) −2.78477 + 0.228696i −0.106478 + 0.00874441i
\(685\) 6.22919i 0.238005i
\(686\) 0.858147 + 26.1775i 0.0327642 + 0.999463i
\(687\) −2.18159 24.2491i −0.0832327 0.925159i
\(688\) −17.8299 + 20.3858i −0.679758 + 0.777202i
\(689\) −5.37025 3.10052i −0.204590 0.118120i
\(690\) 0.285609 + 6.96729i 0.0108729 + 0.265240i
\(691\) 4.71705 + 8.17016i 0.179445 + 0.310808i 0.941691 0.336480i \(-0.109237\pi\)
−0.762246 + 0.647288i \(0.775903\pi\)
\(692\) −13.6755 + 19.1110i −0.519865 + 0.726492i
\(693\) −4.34190 + 30.2753i −0.164935 + 1.15006i
\(694\) −0.658517 1.28097i −0.0249970 0.0486251i
\(695\) −7.96141 13.7896i −0.301993 0.523068i
\(696\) −37.9353 24.8615i −1.43794 0.942373i
\(697\) −23.9674 + 41.5127i −0.907829 + 1.57241i
\(698\) 7.59229 11.7839i 0.287372 0.446027i
\(699\) −2.79254 31.0401i −0.105624 1.17404i
\(700\) −4.80145 2.14074i −0.181478 0.0809124i
\(701\) 23.3839 0.883197 0.441598 0.897213i \(-0.354412\pi\)
0.441598 + 0.897213i \(0.354412\pi\)
\(702\) 4.51784 14.4421i 0.170515 0.545081i
\(703\) 0.265022 + 0.153011i 0.00999551 + 0.00577091i
\(704\) −21.1179 22.4573i −0.795912 0.846390i
\(705\) −7.16535 10.1798i −0.269863 0.383395i
\(706\) −15.4085 29.9732i −0.579905 1.12805i
\(707\) 20.8946 18.5230i 0.785821 0.696630i
\(708\) 19.7264 + 11.5947i 0.741365 + 0.435757i
\(709\) −19.2646 + 11.1224i −0.723496 + 0.417711i −0.816038 0.577998i \(-0.803834\pi\)
0.0925419 + 0.995709i \(0.470501\pi\)
\(710\) 1.93725 39.7035i 0.0727037 1.49004i
\(711\) −0.0159182 0.00570530i −0.000596979 0.000213965i
\(712\) 9.79537 + 24.7154i 0.367097 + 0.926248i
\(713\) 8.20631i 0.307329i
\(714\) −35.4095 10.2175i −1.32517 0.382379i
\(715\) −15.8829 −0.593985
\(716\) −2.00086 + 20.4547i −0.0747755 + 0.764429i
\(717\) −11.6890 + 25.2288i −0.436532 + 0.942185i
\(718\) 0.228898 4.69121i 0.00854240 0.175074i
\(719\) 21.5877 + 37.3910i 0.805086 + 1.39445i 0.916233 + 0.400645i \(0.131214\pi\)
−0.111148 + 0.993804i \(0.535453\pi\)
\(720\) −11.6845 20.9860i −0.435454 0.782101i
\(721\) −27.5586 + 5.63543i −1.02634 + 0.209874i
\(722\) −23.6245 + 12.1448i −0.879213 + 0.451982i
\(723\) −7.26373 10.3196i −0.270141 0.383790i
\(724\) 8.67522 3.93766i 0.322412 0.146342i
\(725\) 4.59902 7.96574i 0.170803 0.295840i
\(726\) −8.34982 4.37495i −0.309891 0.162370i
\(727\) 18.5349i 0.687423i 0.939075 + 0.343712i \(0.111684\pi\)
−0.939075 + 0.343712i \(0.888316\pi\)
\(728\) 13.7518 + 6.95356i 0.509677 + 0.257716i
\(729\) 23.1811 13.8433i 0.858558 0.512716i
\(730\) −9.61894 6.19742i −0.356013 0.229377i
\(731\) −33.3448 19.2516i −1.23330 0.712048i
\(732\) 29.5948 16.7807i 1.09385 0.620234i
\(733\) 7.89497 4.55816i 0.291607 0.168360i −0.347059 0.937843i \(-0.612820\pi\)
0.638666 + 0.769484i \(0.279486\pi\)
\(734\) 5.05269 + 9.82870i 0.186498 + 0.362784i
\(735\) −20.6378 12.7686i −0.761236 0.470979i
\(736\) 5.79055 + 5.58544i 0.213442 + 0.205882i
\(737\) −25.2466 + 14.5761i −0.929970 + 0.536919i
\(738\) 35.4573 4.66062i 1.30520 0.171560i
\(739\) −16.9014 + 29.2741i −0.621728 + 1.07686i 0.367436 + 0.930049i \(0.380236\pi\)
−0.989164 + 0.146815i \(0.953098\pi\)
\(740\) −0.256107 + 2.61818i −0.00941468 + 0.0962461i
\(741\) 0.148830 + 1.65430i 0.00546742 + 0.0607723i
\(742\) 11.1358 1.71667i 0.408809 0.0630209i
\(743\) 19.4548 0.713726 0.356863 0.934157i \(-0.383846\pi\)
0.356863 + 0.934157i \(0.383846\pi\)
\(744\) −12.7277 25.2397i −0.466620 0.925333i
\(745\) −10.5624 + 18.2947i −0.386977 + 0.670264i
\(746\) −44.1766 2.15551i −1.61742 0.0789188i
\(747\) −19.6013 + 16.6123i −0.717174 + 0.607813i
\(748\) 25.5039 35.6408i 0.932515 1.30316i
\(749\) −14.5636 + 2.97810i −0.532143 + 0.108817i
\(750\) 24.8258 15.7230i 0.906508 0.574121i
\(751\) 10.6440 6.14534i 0.388407 0.224247i −0.293063 0.956093i \(-0.594675\pi\)
0.681470 + 0.731847i \(0.261341\pi\)
\(752\) −14.0906 2.78329i −0.513833 0.101496i
\(753\) 35.1199 + 16.2717i 1.27984 + 0.592974i
\(754\) −14.6029 + 22.6650i −0.531807 + 0.825412i
\(755\) 35.2429i 1.28262i
\(756\) 10.0292 + 25.6011i 0.364757 + 0.931103i
\(757\) 10.4294i 0.379064i −0.981875 0.189532i \(-0.939303\pi\)
0.981875 0.189532i \(-0.0606970\pi\)
\(758\) −22.7915 14.6844i −0.827824 0.533362i
\(759\) 8.61275 + 3.99045i 0.312623 + 0.144844i
\(760\) 2.06677 + 1.63694i 0.0749695 + 0.0593780i
\(761\) 21.5087 12.4181i 0.779691 0.450155i −0.0566301 0.998395i \(-0.518036\pi\)
0.836321 + 0.548241i \(0.184702\pi\)
\(762\) −23.3831 36.9207i −0.847080 1.33750i
\(763\) 18.5445 + 20.9187i 0.671354 + 0.757308i
\(764\) −2.78157 + 3.88714i −0.100633 + 0.140632i
\(765\) 26.0507 22.0783i 0.941866 0.798241i
\(766\) −1.92669 + 39.4870i −0.0696140 + 1.42672i
\(767\) 6.80100 11.7797i 0.245570 0.425340i
\(768\) −26.4725 8.19791i −0.955245 0.295817i
\(769\) 0.929396 0.0335149 0.0167574 0.999860i \(-0.494666\pi\)
0.0167574 + 0.999860i \(0.494666\pi\)
\(770\) 22.5027 18.0691i 0.810940 0.651164i
\(771\) 0.469442 + 5.21800i 0.0169065 + 0.187922i
\(772\) −12.6648 1.23885i −0.455815 0.0445873i
\(773\) 15.9577 27.6396i 0.573959 0.994127i −0.422195