Properties

Label 930.2.br.b.11.18
Level $930$
Weight $2$
Character 930.11
Analytic conductor $7.426$
Analytic rank $0$
Dimension $176$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.br (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(22\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 11.18
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.b.761.18

$q$-expansion

\(f(q)\) \(=\) \(q+(0.951057 - 0.309017i) q^{2} +(1.04856 + 1.37859i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(1.42325 + 0.987098i) q^{6} +(0.426617 + 4.05899i) q^{7} +(0.587785 - 0.809017i) q^{8} +(-0.801042 + 2.89108i) q^{9} +O(q^{10})\) \(q+(0.951057 - 0.309017i) q^{2} +(1.04856 + 1.37859i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(1.42325 + 0.987098i) q^{6} +(0.426617 + 4.05899i) q^{7} +(0.587785 - 0.809017i) q^{8} +(-0.801042 + 2.89108i) q^{9} +(0.669131 - 0.743145i) q^{10} +(3.30515 + 1.47155i) q^{11} +(1.65862 + 0.498978i) q^{12} +(-0.315521 - 1.48441i) q^{13} +(1.66003 + 3.72850i) q^{14} +(1.59738 + 0.669617i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-0.831557 + 0.370233i) q^{17} +(0.131556 + 2.99711i) q^{18} +(-5.99902 - 1.27513i) q^{19} +(0.406737 - 0.913545i) q^{20} +(-5.14837 + 4.84423i) q^{21} +(3.59812 + 0.378178i) q^{22} +(-5.09792 - 3.70386i) q^{23} +(1.73163 - 0.0379860i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-0.758786 - 1.31426i) q^{26} +(-4.82556 + 1.92716i) q^{27} +(2.73096 + 3.03303i) q^{28} +(0.234766 + 0.722537i) q^{29} +(1.72612 + 0.143227i) q^{30} +(3.18326 - 4.56803i) q^{31} -1.00000i q^{32} +(1.43698 + 6.09947i) q^{33} +(-0.676450 + 0.609078i) q^{34} +(2.39896 + 3.30188i) q^{35} +(1.05128 + 2.80977i) q^{36} +(6.51379 + 3.76074i) q^{37} +(-6.09945 + 0.641078i) q^{38} +(1.71555 - 1.99147i) q^{39} +(0.104528 - 0.994522i) q^{40} +(4.77654 + 4.30082i) q^{41} +(-3.39944 + 6.19807i) q^{42} +(2.06985 - 9.73786i) q^{43} +(3.53888 - 0.752212i) q^{44} +(0.751816 + 2.90427i) q^{45} +(-5.99297 - 1.94723i) q^{46} +(9.32882 + 3.03112i) q^{47} +(1.63514 - 0.571231i) q^{48} +(-9.44638 + 2.00789i) q^{49} +(0.207912 - 0.978148i) q^{50} +(-1.38234 - 0.758168i) q^{51} +(-1.12778 - 1.01545i) q^{52} +(-1.09808 + 10.4475i) q^{53} +(-3.99386 + 3.32402i) q^{54} +(3.59812 - 0.378178i) q^{55} +(3.53455 + 2.04068i) q^{56} +(-4.53245 - 9.60727i) q^{57} +(0.446552 + 0.614627i) q^{58} +(6.39219 - 5.75555i) q^{59} +(1.68590 - 0.397183i) q^{60} -10.8474i q^{61} +(1.61586 - 5.32813i) q^{62} +(-12.0766 - 2.01804i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(-1.01545 - 1.12778i) q^{65} +(3.25149 + 5.35689i) q^{66} +(-3.17730 - 5.50324i) q^{67} +(-0.455126 + 0.788302i) q^{68} +(-0.239364 - 10.9117i) q^{69} +(3.30188 + 2.39896i) q^{70} +(2.69884 + 0.283660i) q^{71} +(1.86809 + 2.34739i) q^{72} +(-4.41226 + 9.91010i) q^{73} +(7.35712 + 1.56380i) q^{74} +(1.71818 - 0.218783i) q^{75} +(-5.60282 + 2.49453i) q^{76} +(-4.56297 + 14.0434i) q^{77} +(1.01619 - 2.42413i) q^{78} +(-5.32318 - 11.9561i) q^{79} +(-0.207912 - 0.978148i) q^{80} +(-7.71666 - 4.63175i) q^{81} +(5.87179 + 2.61429i) q^{82} +(4.85446 - 5.39142i) q^{83} +(-1.31775 + 6.94520i) q^{84} +(-0.535033 + 0.736410i) q^{85} +(-1.04062 - 9.90088i) q^{86} +(-0.749918 + 1.08127i) q^{87} +(3.13323 - 1.80897i) q^{88} +(5.08325 - 3.69320i) q^{89} +(1.61249 + 2.52980i) q^{90} +(5.89060 - 1.91397i) q^{91} -6.30138 q^{92} +(9.63529 - 0.401428i) q^{93} +9.80891 q^{94} +(-5.83287 + 1.89522i) q^{95} +(1.37859 - 1.04856i) q^{96} +(10.0834 - 7.32599i) q^{97} +(-8.36357 + 4.82871i) q^{98} +(-6.90193 + 8.37669i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176q + 44q^{4} + 4q^{7} + 4q^{9} + O(q^{10}) \) \( 176q + 44q^{4} + 4q^{7} + 4q^{9} + 22q^{10} + 38q^{13} - 44q^{16} + 4q^{18} + 8q^{19} - 42q^{21} + 4q^{22} + 88q^{25} + 30q^{27} + 36q^{28} + 32q^{31} - 70q^{33} + 14q^{34} - 4q^{36} + 42q^{37} + 58q^{39} - 22q^{40} - 12q^{42} - 46q^{43} + 16q^{45} + 10q^{46} + 38q^{49} + 38q^{51} + 2q^{52} + 4q^{55} + 78q^{57} - 40q^{58} + 16q^{63} + 44q^{64} + 34q^{66} - 76q^{67} + 148q^{69} - 8q^{70} - 4q^{72} - 52q^{73} + 12q^{76} + 60q^{78} + 8q^{79} - 108q^{81} - 40q^{82} - 8q^{84} + 28q^{87} + 6q^{88} + 24q^{90} - 20q^{91} - 28q^{93} - 20q^{94} - 112q^{97} - 132q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{30}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.951057 0.309017i 0.672499 0.218508i
\(3\) 1.04856 + 1.37859i 0.605387 + 0.795932i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) 0.866025 0.500000i 0.387298 0.223607i
\(6\) 1.42325 + 0.987098i 0.581039 + 0.402981i
\(7\) 0.426617 + 4.05899i 0.161246 + 1.53415i 0.713605 + 0.700548i \(0.247061\pi\)
−0.552359 + 0.833607i \(0.686272\pi\)
\(8\) 0.587785 0.809017i 0.207813 0.286031i
\(9\) −0.801042 + 2.89108i −0.267014 + 0.963693i
\(10\) 0.669131 0.743145i 0.211598 0.235003i
\(11\) 3.30515 + 1.47155i 0.996542 + 0.443689i 0.839181 0.543852i \(-0.183035\pi\)
0.157361 + 0.987541i \(0.449701\pi\)
\(12\) 1.65862 + 0.498978i 0.478802 + 0.144042i
\(13\) −0.315521 1.48441i −0.0875098 0.411701i −0.999997 0.00259505i \(-0.999174\pi\)
0.912487 0.409106i \(-0.134159\pi\)
\(14\) 1.66003 + 3.72850i 0.443663 + 0.996483i
\(15\) 1.59738 + 0.669617i 0.412441 + 0.172894i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) −0.831557 + 0.370233i −0.201682 + 0.0897947i −0.505092 0.863065i \(-0.668542\pi\)
0.303410 + 0.952860i \(0.401875\pi\)
\(18\) 0.131556 + 2.99711i 0.0310080 + 0.706427i
\(19\) −5.99902 1.27513i −1.37627 0.292535i −0.540375 0.841424i \(-0.681718\pi\)
−0.835895 + 0.548889i \(0.815051\pi\)
\(20\) 0.406737 0.913545i 0.0909491 0.204275i
\(21\) −5.14837 + 4.84423i −1.12347 + 1.05710i
\(22\) 3.59812 + 0.378178i 0.767122 + 0.0806278i
\(23\) −5.09792 3.70386i −1.06299 0.772308i −0.0883513 0.996089i \(-0.528160\pi\)
−0.974639 + 0.223781i \(0.928160\pi\)
\(24\) 1.73163 0.0379860i 0.353468 0.00775385i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) −0.758786 1.31426i −0.148810 0.257747i
\(27\) −4.82556 + 1.92716i −0.928680 + 0.370882i
\(28\) 2.73096 + 3.03303i 0.516102 + 0.573190i
\(29\) 0.234766 + 0.722537i 0.0435950 + 0.134172i 0.970485 0.241161i \(-0.0775283\pi\)
−0.926890 + 0.375333i \(0.877528\pi\)
\(30\) 1.72612 + 0.143227i 0.315145 + 0.0261496i
\(31\) 3.18326 4.56803i 0.571730 0.820442i
\(32\) 1.00000i 0.176777i
\(33\) 1.43698 + 6.09947i 0.250147 + 1.06178i
\(34\) −0.676450 + 0.609078i −0.116010 + 0.104456i
\(35\) 2.39896 + 3.30188i 0.405498 + 0.558120i
\(36\) 1.05128 + 2.80977i 0.175213 + 0.468295i
\(37\) 6.51379 + 3.76074i 1.07086 + 0.618262i 0.928416 0.371541i \(-0.121171\pi\)
0.142444 + 0.989803i \(0.454504\pi\)
\(38\) −6.09945 + 0.641078i −0.989461 + 0.103997i
\(39\) 1.71555 1.99147i 0.274709 0.318890i
\(40\) 0.104528 0.994522i 0.0165274 0.157248i
\(41\) 4.77654 + 4.30082i 0.745971 + 0.671675i 0.951733 0.306927i \(-0.0993007\pi\)
−0.205762 + 0.978602i \(0.565967\pi\)
\(42\) −3.39944 + 6.19807i −0.524545 + 0.956383i
\(43\) 2.06985 9.73786i 0.315649 1.48501i −0.478932 0.877852i \(-0.658976\pi\)
0.794581 0.607158i \(-0.207691\pi\)
\(44\) 3.53888 0.752212i 0.533506 0.113400i
\(45\) 0.751816 + 2.90427i 0.112074 + 0.432943i
\(46\) −5.99297 1.94723i −0.883615 0.287104i
\(47\) 9.32882 + 3.03112i 1.36075 + 0.442134i 0.896293 0.443462i \(-0.146250\pi\)
0.464456 + 0.885596i \(0.346250\pi\)
\(48\) 1.63514 0.571231i 0.236013 0.0824501i
\(49\) −9.44638 + 2.00789i −1.34948 + 0.286842i
\(50\) 0.207912 0.978148i 0.0294032 0.138331i
\(51\) −1.38234 0.758168i −0.193566 0.106165i
\(52\) −1.12778 1.01545i −0.156394 0.140818i
\(53\) −1.09808 + 10.4475i −0.150833 + 1.43508i 0.613213 + 0.789918i \(0.289877\pi\)
−0.764046 + 0.645162i \(0.776790\pi\)
\(54\) −3.99386 + 3.32402i −0.543495 + 0.452341i
\(55\) 3.59812 0.378178i 0.485171 0.0509935i
\(56\) 3.53455 + 2.04068i 0.472325 + 0.272697i
\(57\) −4.53245 9.60727i −0.600338 1.27251i
\(58\) 0.446552 + 0.614627i 0.0586352 + 0.0807044i
\(59\) 6.39219 5.75555i 0.832192 0.749309i −0.138313 0.990389i \(-0.544168\pi\)
0.970505 + 0.241080i \(0.0775015\pi\)
\(60\) 1.68590 0.397183i 0.217648 0.0512761i
\(61\) 10.8474i 1.38887i −0.719556 0.694435i \(-0.755654\pi\)
0.719556 0.694435i \(-0.244346\pi\)
\(62\) 1.61586 5.32813i 0.205215 0.676673i
\(63\) −12.0766 2.01804i −1.52151 0.254249i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) −1.01545 1.12778i −0.125952 0.139883i
\(66\) 3.25149 + 5.35689i 0.400231 + 0.659388i
\(67\) −3.17730 5.50324i −0.388169 0.672328i 0.604035 0.796958i \(-0.293559\pi\)
−0.992203 + 0.124630i \(0.960226\pi\)
\(68\) −0.455126 + 0.788302i −0.0551922 + 0.0955957i
\(69\) −0.239364 10.9117i −0.0288160 1.31361i
\(70\) 3.30188 + 2.39896i 0.394650 + 0.286730i
\(71\) 2.69884 + 0.283660i 0.320293 + 0.0336642i 0.263311 0.964711i \(-0.415185\pi\)
0.0569824 + 0.998375i \(0.481852\pi\)
\(72\) 1.86809 + 2.34739i 0.220157 + 0.276643i
\(73\) −4.41226 + 9.91010i −0.516416 + 1.15989i 0.447646 + 0.894211i \(0.352262\pi\)
−0.964062 + 0.265678i \(0.914404\pi\)
\(74\) 7.35712 + 1.56380i 0.855247 + 0.181788i
\(75\) 1.71818 0.218783i 0.198398 0.0252629i
\(76\) −5.60282 + 2.49453i −0.642687 + 0.286143i
\(77\) −4.56297 + 14.0434i −0.519999 + 1.60039i
\(78\) 1.01619 2.42413i 0.115061 0.274479i
\(79\) −5.32318 11.9561i −0.598904 1.34516i −0.917676 0.397329i \(-0.869937\pi\)
0.318772 0.947831i \(-0.396730\pi\)
\(80\) −0.207912 0.978148i −0.0232452 0.109360i
\(81\) −7.71666 4.63175i −0.857407 0.514639i
\(82\) 5.87179 + 2.61429i 0.648431 + 0.288700i
\(83\) 4.85446 5.39142i 0.532846 0.591785i −0.415275 0.909696i \(-0.636315\pi\)
0.948121 + 0.317911i \(0.102981\pi\)
\(84\) −1.31775 + 6.94520i −0.143778 + 0.757783i
\(85\) −0.535033 + 0.736410i −0.0580325 + 0.0798749i
\(86\) −1.04062 9.90088i −0.112213 1.06764i
\(87\) −0.749918 + 1.08127i −0.0803997 + 0.115924i
\(88\) 3.13323 1.80897i 0.334003 0.192837i
\(89\) 5.08325 3.69320i 0.538823 0.391478i −0.284825 0.958580i \(-0.591935\pi\)
0.823648 + 0.567102i \(0.191935\pi\)
\(90\) 1.61249 + 2.52980i 0.169971 + 0.266664i
\(91\) 5.89060 1.91397i 0.617503 0.200639i
\(92\) −6.30138 −0.656964
\(93\) 9.63529 0.401428i 0.999133 0.0416261i
\(94\) 9.80891 1.01171
\(95\) −5.83287 + 1.89522i −0.598440 + 0.194445i
\(96\) 1.37859 1.04856i 0.140702 0.107018i
\(97\) 10.0834 7.32599i 1.02381 0.743841i 0.0567493 0.998388i \(-0.481926\pi\)
0.967060 + 0.254547i \(0.0819264\pi\)
\(98\) −8.36357 + 4.82871i −0.844848 + 0.487773i
\(99\) −6.90193 + 8.37669i −0.693670 + 0.841889i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) −4.70947 + 6.48203i −0.468610 + 0.644986i −0.976266 0.216573i \(-0.930512\pi\)
0.507656 + 0.861560i \(0.330512\pi\)
\(102\) −1.54897 0.293894i −0.153371 0.0290999i
\(103\) −11.2903 + 12.5392i −1.11247 + 1.23552i −0.143153 + 0.989701i \(0.545724\pi\)
−0.969315 + 0.245820i \(0.920943\pi\)
\(104\) −1.38637 0.617252i −0.135945 0.0605265i
\(105\) −2.03650 + 6.76941i −0.198742 + 0.660627i
\(106\) 2.18413 + 10.2755i 0.212142 + 0.998047i
\(107\) −6.39157 14.3557i −0.617897 1.38782i −0.903133 0.429362i \(-0.858739\pi\)
0.285236 0.958457i \(-0.407928\pi\)
\(108\) −2.77121 + 4.39550i −0.266660 + 0.422957i
\(109\) 2.59598 7.98961i 0.248650 0.765265i −0.746365 0.665537i \(-0.768203\pi\)
0.995015 0.0997284i \(-0.0317974\pi\)
\(110\) 3.30515 1.47155i 0.315134 0.140307i
\(111\) 1.64557 + 12.9232i 0.156191 + 1.22662i
\(112\) 3.99216 + 0.848560i 0.377224 + 0.0801814i
\(113\) −7.80569 + 17.5319i −0.734298 + 1.64926i 0.0259801 + 0.999662i \(0.491729\pi\)
−0.760278 + 0.649598i \(0.774937\pi\)
\(114\) −7.27943 7.73645i −0.681781 0.724585i
\(115\) −6.26686 0.658674i −0.584388 0.0614216i
\(116\) 0.614627 + 0.446552i 0.0570667 + 0.0414613i
\(117\) 4.54429 + 0.276879i 0.420120 + 0.0255975i
\(118\) 4.30077 7.44915i 0.395918 0.685750i
\(119\) −1.85753 3.21734i −0.170280 0.294933i
\(120\) 1.48065 0.898714i 0.135164 0.0820410i
\(121\) 1.39815 + 1.55281i 0.127105 + 0.141164i
\(122\) −3.35204 10.3165i −0.303479 0.934013i
\(123\) −0.920589 + 11.0946i −0.0830067 + 1.00036i
\(124\) −0.109707 5.56668i −0.00985196 0.499903i
\(125\) 1.00000i 0.0894427i
\(126\) −12.1091 + 1.81260i −1.07877 + 0.161480i
\(127\) 3.15317 2.83912i 0.279798 0.251931i −0.517268 0.855824i \(-0.673051\pi\)
0.797066 + 0.603892i \(0.206384\pi\)
\(128\) −0.587785 0.809017i −0.0519534 0.0715077i
\(129\) 15.5949 7.35726i 1.37306 0.647771i
\(130\) −1.31426 0.758786i −0.115268 0.0665499i
\(131\) −1.79029 + 0.188168i −0.156419 + 0.0164403i −0.182414 0.983222i \(-0.558391\pi\)
0.0259954 + 0.999662i \(0.491724\pi\)
\(132\) 4.74773 + 4.08994i 0.413237 + 0.355984i
\(133\) 2.61646 24.8940i 0.226876 2.15858i
\(134\) −4.72238 4.25205i −0.407952 0.367322i
\(135\) −3.21548 + 4.08175i −0.276745 + 0.351301i
\(136\) −0.189252 + 0.890362i −0.0162282 + 0.0763479i
\(137\) 4.46170 0.948363i 0.381188 0.0810241i −0.0133323 0.999911i \(-0.504244\pi\)
0.394521 + 0.918887i \(0.370911\pi\)
\(138\) −3.59955 10.3037i −0.306414 0.877106i
\(139\) −1.00223 0.325643i −0.0850077 0.0276207i 0.266204 0.963917i \(-0.414230\pi\)
−0.351212 + 0.936296i \(0.614230\pi\)
\(140\) 3.88159 + 1.26121i 0.328055 + 0.106591i
\(141\) 5.60315 + 16.0390i 0.471871 + 1.35073i
\(142\) 2.65441 0.564211i 0.222753 0.0473476i
\(143\) 1.14154 5.37051i 0.0954601 0.449104i
\(144\) 2.50204 + 1.65523i 0.208504 + 0.137936i
\(145\) 0.564582 + 0.508352i 0.0468860 + 0.0422163i
\(146\) −1.13392 + 10.7885i −0.0938439 + 0.892865i
\(147\) −12.6732 10.9173i −1.04527 0.900446i
\(148\) 7.48027 0.786208i 0.614875 0.0646259i
\(149\) −20.3089 11.7253i −1.66377 0.960577i −0.970891 0.239521i \(-0.923010\pi\)
−0.692877 0.721056i \(-0.743657\pi\)
\(150\) 1.56648 0.739021i 0.127902 0.0603408i
\(151\) 0.758279 + 1.04368i 0.0617078 + 0.0849336i 0.838756 0.544508i \(-0.183284\pi\)
−0.777048 + 0.629442i \(0.783284\pi\)
\(152\) −4.55774 + 4.10381i −0.369682 + 0.332863i
\(153\) −0.404260 2.70067i −0.0326825 0.218336i
\(154\) 14.7661i 1.18989i
\(155\) 0.472771 5.54766i 0.0379739 0.445598i
\(156\) 0.217358 2.61951i 0.0174025 0.209729i
\(157\) 3.84289 + 11.8272i 0.306696 + 0.943913i 0.979039 + 0.203673i \(0.0652880\pi\)
−0.672343 + 0.740240i \(0.734712\pi\)
\(158\) −8.75727 9.72593i −0.696691 0.773753i
\(159\) −15.5543 + 9.44107i −1.23354 + 0.748725i
\(160\) −0.500000 0.866025i −0.0395285 0.0684653i
\(161\) 12.8591 22.2726i 1.01344 1.75532i
\(162\) −8.77027 2.02048i −0.689058 0.158744i
\(163\) −18.1316 13.1734i −1.42018 1.03182i −0.991742 0.128249i \(-0.959064\pi\)
−0.428437 0.903572i \(-0.640936\pi\)
\(164\) 6.39226 + 0.671854i 0.499152 + 0.0524630i
\(165\) 4.29420 + 4.56381i 0.334303 + 0.355292i
\(166\) 2.95082 6.62766i 0.229028 0.514406i
\(167\) 5.16142 + 1.09709i 0.399402 + 0.0848956i 0.403234 0.915097i \(-0.367886\pi\)
−0.00383121 + 0.999993i \(0.501220\pi\)
\(168\) 0.892930 + 7.01248i 0.0688910 + 0.541025i
\(169\) 9.77217 4.35085i 0.751706 0.334681i
\(170\) −0.281284 + 0.865702i −0.0215735 + 0.0663963i
\(171\) 8.49198 16.3222i 0.649398 1.24819i
\(172\) −4.04923 9.09472i −0.308751 0.693466i
\(173\) 1.25640 + 5.91088i 0.0955221 + 0.449396i 0.999750 + 0.0223465i \(0.00711370\pi\)
−0.904228 + 0.427050i \(0.859553\pi\)
\(174\) −0.379083 + 1.26009i −0.0287382 + 0.0955270i
\(175\) 3.72850 + 1.66003i 0.281848 + 0.125487i
\(176\) 2.42088 2.68865i 0.182480 0.202665i
\(177\) 14.6372 + 2.77719i 1.10020 + 0.208746i
\(178\) 3.69320 5.08325i 0.276817 0.381005i
\(179\) 1.37631 + 13.0947i 0.102870 + 0.978747i 0.917222 + 0.398375i \(0.130426\pi\)
−0.814352 + 0.580371i \(0.802907\pi\)
\(180\) 2.31532 + 1.90770i 0.172574 + 0.142191i
\(181\) −17.2702 + 9.97095i −1.28368 + 0.741135i −0.977520 0.210845i \(-0.932379\pi\)
−0.306163 + 0.951979i \(0.599045\pi\)
\(182\) 5.01084 3.64059i 0.371428 0.269859i
\(183\) 14.9542 11.3742i 1.10545 0.840803i
\(184\) −5.99297 + 1.94723i −0.441808 + 0.143552i
\(185\) 7.52148 0.552990
\(186\) 9.03966 3.35925i 0.662820 0.246312i
\(187\) −3.29324 −0.240826
\(188\) 9.32882 3.03112i 0.680374 0.221067i
\(189\) −9.88099 18.7648i −0.718736 1.36494i
\(190\) −4.96174 + 3.60491i −0.359962 + 0.261528i
\(191\) −3.61957 + 2.08976i −0.261903 + 0.151210i −0.625202 0.780463i \(-0.714984\pi\)
0.363299 + 0.931673i \(0.381650\pi\)
\(192\) 0.987098 1.42325i 0.0712376 0.102714i
\(193\) −0.312514 2.97337i −0.0224952 0.214028i −0.999995 0.00309239i \(-0.999016\pi\)
0.977500 0.210936i \(-0.0676510\pi\)
\(194\) 7.32599 10.0834i 0.525975 0.723943i
\(195\) 0.489980 2.58244i 0.0350882 0.184932i
\(196\) −6.46208 + 7.17686i −0.461577 + 0.512633i
\(197\) 1.85500 + 0.825899i 0.132163 + 0.0588429i 0.471753 0.881731i \(-0.343621\pi\)
−0.339590 + 0.940574i \(0.610288\pi\)
\(198\) −3.97559 + 10.0995i −0.282533 + 0.717741i
\(199\) −2.85520 13.4327i −0.202400 0.952216i −0.955655 0.294488i \(-0.904851\pi\)
0.753255 0.657728i \(-0.228482\pi\)
\(200\) −0.406737 0.913545i −0.0287606 0.0645974i
\(201\) 4.25515 10.1507i 0.300135 0.715974i
\(202\) −2.47592 + 7.62009i −0.174205 + 0.536147i
\(203\) −2.83262 + 1.26116i −0.198811 + 0.0885162i
\(204\) −1.56398 + 0.199148i −0.109500 + 0.0139431i
\(205\) 6.28702 + 1.33635i 0.439104 + 0.0933345i
\(206\) −6.86291 + 15.4144i −0.478162 + 1.07397i
\(207\) 14.7918 11.7715i 1.02810 0.818179i
\(208\) −1.50926 0.158629i −0.104648 0.0109990i
\(209\) −17.9513 13.0424i −1.24172 0.902160i
\(210\) 0.155034 + 7.06741i 0.0106984 + 0.487697i
\(211\) 1.52165 2.63558i 0.104755 0.181440i −0.808883 0.587969i \(-0.799928\pi\)
0.913638 + 0.406529i \(0.133261\pi\)
\(212\) 5.25254 + 9.09767i 0.360746 + 0.624831i
\(213\) 2.43885 + 4.01804i 0.167107 + 0.275311i
\(214\) −10.5149 11.6780i −0.718784 0.798291i
\(215\) −3.07639 9.46816i −0.209808 0.645723i
\(216\) −1.27729 + 5.03672i −0.0869087 + 0.342705i
\(217\) 19.8996 + 10.9720i 1.35087 + 0.744830i
\(218\) 8.40077i 0.568972i
\(219\) −18.2885 + 4.30862i −1.23582 + 0.291150i
\(220\) 2.68865 2.42088i 0.181269 0.163215i
\(221\) 0.811951 + 1.11756i 0.0546178 + 0.0751749i
\(222\) 5.55853 + 11.7822i 0.373064 + 0.790771i
\(223\) 9.66341 + 5.57917i 0.647110 + 0.373609i 0.787348 0.616509i \(-0.211453\pi\)
−0.140238 + 0.990118i \(0.544787\pi\)
\(224\) 4.05899 0.426617i 0.271203 0.0285046i
\(225\) 2.10323 + 2.13926i 0.140215 + 0.142617i
\(226\) −2.00601 + 19.0859i −0.133438 + 1.26958i
\(227\) 13.3073 + 11.9820i 0.883237 + 0.795270i 0.979784 0.200058i \(-0.0641132\pi\)
−0.0965472 + 0.995328i \(0.530780\pi\)
\(228\) −9.31384 5.10834i −0.616824 0.338308i
\(229\) 1.48170 6.97085i 0.0979134 0.460647i −0.901687 0.432389i \(-0.857671\pi\)
0.999601 0.0282577i \(-0.00899589\pi\)
\(230\) −6.16368 + 1.31013i −0.406421 + 0.0863875i
\(231\) −24.1447 + 8.43485i −1.58860 + 0.554972i
\(232\) 0.722537 + 0.234766i 0.0474369 + 0.0154132i
\(233\) 1.68590 + 0.547783i 0.110447 + 0.0358865i 0.363719 0.931509i \(-0.381507\pi\)
−0.253272 + 0.967395i \(0.581507\pi\)
\(234\) 4.40744 1.14093i 0.288123 0.0745852i
\(235\) 9.59456 2.03939i 0.625880 0.133035i
\(236\) 1.78836 8.41357i 0.116412 0.547677i
\(237\) 10.9009 19.8751i 0.708087 1.29103i
\(238\) −2.76083 2.48586i −0.178958 0.161134i
\(239\) −0.545577 + 5.19082i −0.0352904 + 0.335766i 0.962604 + 0.270911i \(0.0873251\pi\)
−0.997895 + 0.0648547i \(0.979342\pi\)
\(240\) 1.13046 1.31227i 0.0729709 0.0847068i
\(241\) 1.83884 0.193270i 0.118450 0.0124496i −0.0451178 0.998982i \(-0.514366\pi\)
0.163568 + 0.986532i \(0.447700\pi\)
\(242\) 1.80956 + 1.04475i 0.116323 + 0.0671592i
\(243\) −1.70608 15.4948i −0.109445 0.993993i
\(244\) −6.37595 8.77575i −0.408179 0.561810i
\(245\) −7.17686 + 6.46208i −0.458513 + 0.412847i
\(246\) 2.55288 + 10.8361i 0.162766 + 0.690881i
\(247\) 9.30734i 0.592212i
\(248\) −1.82454 5.26033i −0.115858 0.334031i
\(249\) 12.5228 + 1.03910i 0.793599 + 0.0658500i
\(250\) −0.309017 0.951057i −0.0195440 0.0601501i
\(251\) −5.66127 6.28748i −0.357336 0.396862i 0.537495 0.843267i \(-0.319371\pi\)
−0.894831 + 0.446405i \(0.852704\pi\)
\(252\) −10.9564 + 5.46582i −0.690185 + 0.344314i
\(253\) −11.3990 19.7437i −0.716650 1.24127i
\(254\) 2.12150 3.67455i 0.133115 0.230562i
\(255\) −1.57623 + 0.0345768i −0.0987070 + 0.00216529i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) −28.2834 2.97271i −1.76427 0.185432i −0.833866 0.551967i \(-0.813878\pi\)
−0.930405 + 0.366534i \(0.880544\pi\)
\(258\) 12.5581 11.8163i 0.781835 0.735648i
\(259\) −12.4859 + 28.0438i −0.775837 + 1.74256i
\(260\) −1.48441 0.315521i −0.0920591 0.0195678i
\(261\) −2.27697 + 0.0999455i −0.140941 + 0.00618647i
\(262\) −1.64452 + 0.732189i −0.101599 + 0.0452348i
\(263\) 2.42838 7.47379i 0.149740 0.460854i −0.847850 0.530237i \(-0.822103\pi\)
0.997590 + 0.0693831i \(0.0221031\pi\)
\(264\) 5.77922 + 2.42264i 0.355686 + 0.149103i
\(265\) 4.27280 + 9.59687i 0.262476 + 0.589531i
\(266\) −5.20426 24.4841i −0.319094 1.50122i
\(267\) 10.4215 + 3.13520i 0.637786 + 0.191871i
\(268\) −5.80521 2.58465i −0.354610 0.157882i
\(269\) −16.8556 + 18.7200i −1.02770 + 1.14138i −0.0378492 + 0.999283i \(0.512051\pi\)
−0.989853 + 0.142095i \(0.954616\pi\)
\(270\) −1.79678 + 4.87561i −0.109348 + 0.296720i
\(271\) −6.39274 + 8.79886i −0.388332 + 0.534493i −0.957768 0.287543i \(-0.907162\pi\)
0.569436 + 0.822036i \(0.307162\pi\)
\(272\) 0.0951473 + 0.905266i 0.00576915 + 0.0548898i
\(273\) 8.81524 + 6.11383i 0.533522 + 0.370026i
\(274\) 3.95027 2.28069i 0.238644 0.137781i
\(275\) 2.92698 2.12657i 0.176503 0.128237i
\(276\) −6.60738 8.68704i −0.397717 0.522899i
\(277\) −10.7453 + 3.49136i −0.645622 + 0.209775i −0.613483 0.789708i \(-0.710232\pi\)
−0.0321394 + 0.999483i \(0.510232\pi\)
\(278\) −1.05380 −0.0632029
\(279\) 10.6566 + 12.8622i 0.637993 + 0.770042i
\(280\) 4.08135 0.243907
\(281\) 6.38416 2.07434i 0.380847 0.123745i −0.112336 0.993670i \(-0.535833\pi\)
0.493183 + 0.869926i \(0.335833\pi\)
\(282\) 10.2852 + 13.5225i 0.612477 + 0.805253i
\(283\) −12.0044 + 8.72171i −0.713588 + 0.518452i −0.884329 0.466864i \(-0.845384\pi\)
0.170742 + 0.985316i \(0.445384\pi\)
\(284\) 2.35014 1.35685i 0.139455 0.0805144i
\(285\) −8.72885 6.05392i −0.517053 0.358603i
\(286\) −0.573912 5.46041i −0.0339361 0.322881i
\(287\) −15.4192 + 21.2228i −0.910169 + 1.25274i
\(288\) 2.89108 + 0.801042i 0.170358 + 0.0472019i
\(289\) −10.8208 + 12.0177i −0.636518 + 0.706925i
\(290\) 0.694039 + 0.309006i 0.0407554 + 0.0181455i
\(291\) 20.6726 + 6.21911i 1.21185 + 0.364571i
\(292\) 2.25542 + 10.6109i 0.131988 + 0.620956i
\(293\) 2.17429 + 4.88353i 0.127023 + 0.285299i 0.965851 0.259098i \(-0.0834252\pi\)
−0.838828 + 0.544397i \(0.816759\pi\)
\(294\) −15.4265 6.46678i −0.899694 0.377150i
\(295\) 2.65802 8.18055i 0.154756 0.476290i
\(296\) 6.87121 3.05926i 0.399381 0.177816i
\(297\) −18.7851 0.731503i −1.09002 0.0424461i
\(298\) −22.9382 4.87567i −1.32878 0.282440i
\(299\) −3.88954 + 8.73605i −0.224938 + 0.505219i
\(300\) 1.26144 1.18692i 0.0728291 0.0685268i
\(301\) 40.4089 + 4.24715i 2.32913 + 0.244802i
\(302\) 1.04368 + 0.758279i 0.0600571 + 0.0436340i
\(303\) −13.8743 + 0.304352i −0.797055 + 0.0174846i
\(304\) −3.06652 + 5.31137i −0.175877 + 0.304628i
\(305\) −5.42371 9.39414i −0.310561 0.537907i
\(306\) −1.21903 2.44357i −0.0696871 0.139689i
\(307\) 0.251142 + 0.278921i 0.0143334 + 0.0159189i 0.750269 0.661133i \(-0.229924\pi\)
−0.735935 + 0.677052i \(0.763257\pi\)
\(308\) 4.56297 + 14.0434i 0.260000 + 0.800196i
\(309\) −29.1250 2.41669i −1.65686 0.137481i
\(310\) −1.26469 5.42223i −0.0718294 0.307962i
\(311\) 0.311811i 0.0176812i 0.999961 + 0.00884058i \(0.00281408\pi\)
−0.999961 + 0.00884058i \(0.997186\pi\)
\(312\) −0.602754 2.55847i −0.0341242 0.144845i
\(313\) 17.5610 15.8120i 0.992607 0.893747i −0.00173241 0.999998i \(-0.500551\pi\)
0.994339 + 0.106251i \(0.0338848\pi\)
\(314\) 7.30961 + 10.0608i 0.412505 + 0.567765i
\(315\) −11.4677 + 4.29063i −0.646130 + 0.241749i
\(316\) −11.3341 6.54376i −0.637595 0.368115i
\(317\) 4.06266 0.427003i 0.228182 0.0239829i 0.0102524 0.999947i \(-0.496736\pi\)
0.217929 + 0.975965i \(0.430070\pi\)
\(318\) −11.8756 + 13.7855i −0.665950 + 0.773055i
\(319\) −0.287309 + 2.73357i −0.0160862 + 0.153050i
\(320\) −0.743145 0.669131i −0.0415431 0.0374055i
\(321\) 13.0887 23.8642i 0.730543 1.33197i
\(322\) 5.34710 25.1561i 0.297982 1.40190i
\(323\) 5.46063 1.16069i 0.303837 0.0645827i
\(324\) −8.96539 + 0.788574i −0.498077 + 0.0438097i
\(325\) −1.44330 0.468955i −0.0800597 0.0260130i
\(326\) −21.3150 6.92567i −1.18053 0.383577i
\(327\) 13.7365 4.79878i 0.759628 0.265373i
\(328\) 6.28702 1.33635i 0.347142 0.0737874i
\(329\) −8.32345 + 39.1588i −0.458887 + 2.15889i
\(330\) 5.49432 + 3.01346i 0.302453 + 0.165885i
\(331\) −9.95997 8.96800i −0.547449 0.492926i 0.348362 0.937360i \(-0.386738\pi\)
−0.895811 + 0.444434i \(0.853405\pi\)
\(332\) 0.758341 7.21513i 0.0416194 0.395982i
\(333\) −16.0904 + 15.8194i −0.881749 + 0.866896i
\(334\) 5.24782 0.551568i 0.287148 0.0301805i
\(335\) −5.50324 3.17730i −0.300674 0.173594i
\(336\) 3.01620 + 6.39334i 0.164547 + 0.348785i
\(337\) 15.8462 + 21.8104i 0.863197 + 1.18809i 0.980798 + 0.195027i \(0.0624795\pi\)
−0.117601 + 0.993061i \(0.537520\pi\)
\(338\) 7.94940 7.15767i 0.432390 0.389326i
\(339\) −32.3541 + 7.62235i −1.75723 + 0.413989i
\(340\) 0.910253i 0.0493654i
\(341\) 17.2432 10.4137i 0.933774 0.563934i
\(342\) 3.03251 18.1475i 0.163979 0.981305i
\(343\) −3.35156 10.3150i −0.180967 0.556960i
\(344\) −6.66147 7.39831i −0.359162 0.398890i
\(345\) −5.66314 9.33012i −0.304893 0.502317i
\(346\) 3.02147 + 5.23334i 0.162435 + 0.281346i
\(347\) 13.8284 23.9514i 0.742346 1.28578i −0.209079 0.977899i \(-0.567047\pi\)
0.951425 0.307882i \(-0.0996201\pi\)
\(348\) 0.0288587 + 1.31556i 0.00154699 + 0.0705213i
\(349\) −16.3863 11.9053i −0.877139 0.637278i 0.0553543 0.998467i \(-0.482371\pi\)
−0.932493 + 0.361188i \(0.882371\pi\)
\(350\) 4.05899 + 0.426617i 0.216962 + 0.0228037i
\(351\) 4.38326 + 6.55505i 0.233961 + 0.349883i
\(352\) 1.47155 3.30515i 0.0784339 0.176165i
\(353\) 16.3938 + 3.48461i 0.872554 + 0.185467i 0.622362 0.782729i \(-0.286173\pi\)
0.250192 + 0.968196i \(0.419506\pi\)
\(354\) 14.7790 1.88187i 0.785493 0.100020i
\(355\) 2.47909 1.10376i 0.131577 0.0585817i
\(356\) 1.94163 5.97572i 0.102906 0.316712i
\(357\) 2.48767 5.93435i 0.131661 0.314079i
\(358\) 5.35545 + 12.0285i 0.283044 + 0.635728i
\(359\) 1.47596 + 6.94385i 0.0778982 + 0.366482i 0.999780 0.0209898i \(-0.00668174\pi\)
−0.921882 + 0.387472i \(0.873348\pi\)
\(360\) 2.79151 + 1.09885i 0.147125 + 0.0579147i
\(361\) 17.0050 + 7.57110i 0.894998 + 0.398479i
\(362\) −13.3437 + 14.8197i −0.701331 + 0.778907i
\(363\) −0.674641 + 3.55569i −0.0354095 + 0.186626i
\(364\) 3.64059 5.01084i 0.190819 0.262640i
\(365\) 1.13392 + 10.7885i 0.0593521 + 0.564697i
\(366\) 10.7075 15.4386i 0.559688 0.806987i
\(367\) −15.3589 + 8.86747i −0.801729 + 0.462878i −0.844075 0.536225i \(-0.819850\pi\)
0.0423466 + 0.999103i \(0.486517\pi\)
\(368\) −5.09792 + 3.70386i −0.265748 + 0.193077i
\(369\) −16.2602 + 10.3642i −0.846473 + 0.539540i
\(370\) 7.15335 2.32426i 0.371885 0.120833i
\(371\) −42.8749 −2.22596
\(372\) 7.55916 5.98824i 0.391924 0.310476i
\(373\) 19.7139 1.02075 0.510373 0.859953i \(-0.329507\pi\)
0.510373 + 0.859953i \(0.329507\pi\)
\(374\) −3.13206 + 1.01767i −0.161955 + 0.0526224i
\(375\) 1.37859 1.04856i 0.0711903 0.0541474i
\(376\) 7.93557 5.76553i 0.409246 0.297335i
\(377\) 0.998467 0.576465i 0.0514237 0.0296895i
\(378\) −15.1960 14.7930i −0.781598 0.760868i
\(379\) −1.53231 14.5790i −0.0787096 0.748872i −0.960697 0.277599i \(-0.910461\pi\)
0.881988 0.471273i \(-0.156205\pi\)
\(380\) −3.60491 + 4.96174i −0.184928 + 0.254532i
\(381\) 7.22028 + 1.36994i 0.369906 + 0.0701843i
\(382\) −2.79665 + 3.10599i −0.143089 + 0.158916i
\(383\) 18.5617 + 8.26419i 0.948458 + 0.422281i 0.821870 0.569675i \(-0.192931\pi\)
0.126588 + 0.991955i \(0.459598\pi\)
\(384\) 0.498978 1.65862i 0.0254633 0.0846411i
\(385\) 3.07004 + 14.4434i 0.156464 + 0.736105i
\(386\) −1.21604 2.73127i −0.0618948 0.139018i
\(387\) 26.4949 + 13.7845i 1.34681 + 0.700707i
\(388\) 3.85150 11.8537i 0.195530 0.601780i
\(389\) 19.6680 8.75676i 0.997207 0.443985i 0.157790 0.987473i \(-0.449563\pi\)
0.839417 + 0.543488i \(0.182897\pi\)
\(390\) −0.332019 2.60746i −0.0168124 0.132034i
\(391\) 5.61051 + 1.19255i 0.283736 + 0.0603099i
\(392\) −3.92803 + 8.82249i −0.198395 + 0.445603i
\(393\) −2.13664 2.27078i −0.107779 0.114546i
\(394\) 2.01943 + 0.212250i 0.101737 + 0.0106930i
\(395\) −10.5880 7.69266i −0.532742 0.387060i
\(396\) −0.660089 + 10.8337i −0.0331707 + 0.544416i
\(397\) −15.9955 + 27.7050i −0.802790 + 1.39047i 0.114984 + 0.993367i \(0.463318\pi\)
−0.917773 + 0.397105i \(0.870015\pi\)
\(398\) −6.86638 11.8929i −0.344180 0.596138i
\(399\) 37.0622 22.4958i 1.85543 1.12620i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) −3.66934 11.2931i −0.183238 0.563949i 0.816676 0.577097i \(-0.195815\pi\)
−0.999914 + 0.0131485i \(0.995815\pi\)
\(402\) 0.910151 10.9688i 0.0453942 0.547073i
\(403\) −7.78520 3.28395i −0.387809 0.163585i
\(404\) 8.01223i 0.398624i
\(405\) −8.99870 0.152884i −0.447149 0.00759685i
\(406\) −2.30426 + 2.07476i −0.114358 + 0.102969i
\(407\) 15.9950 + 22.0152i 0.792841 + 1.09125i
\(408\) −1.42589 + 0.672696i −0.0705921 + 0.0333034i
\(409\) −17.2967 9.98626i −0.855267 0.493789i 0.00715718 0.999974i \(-0.497722\pi\)
−0.862425 + 0.506185i \(0.831055\pi\)
\(410\) 6.39226 0.671854i 0.315691 0.0331805i
\(411\) 5.98577 + 5.15645i 0.295256 + 0.254349i
\(412\) −1.76372 + 16.7807i −0.0868923 + 0.826725i
\(413\) 26.0888 + 23.4904i 1.28374 + 1.15589i
\(414\) 10.4302 15.7663i 0.512618 0.774873i
\(415\) 1.50837 7.09634i 0.0740431 0.348345i
\(416\) −1.48441 + 0.315521i −0.0727791 + 0.0154697i
\(417\) −0.601965 1.72312i −0.0294783 0.0843815i
\(418\) −21.1030 6.85678i −1.03218 0.335376i
\(419\) −1.39230 0.452387i −0.0680185 0.0221006i 0.274810 0.961499i \(-0.411385\pi\)
−0.342829 + 0.939398i \(0.611385\pi\)
\(420\) 2.33139 + 6.67359i 0.113760 + 0.325638i
\(421\) 3.89011 0.826869i 0.189593 0.0402991i −0.112137 0.993693i \(-0.535769\pi\)
0.301729 + 0.953394i \(0.402436\pi\)
\(422\) 0.632738 2.97680i 0.0308012 0.144908i
\(423\) −16.2360 + 24.5423i −0.789421 + 1.19329i
\(424\) 7.80680 + 7.02928i 0.379132 + 0.341372i
\(425\) −0.0951473 + 0.905266i −0.00461532 + 0.0439119i
\(426\) 3.56112 + 3.06774i 0.172537 + 0.148632i
\(427\) 44.0296 4.62770i 2.13074 0.223950i
\(428\) −13.6090 7.85714i −0.657814 0.379789i
\(429\) 8.60072 4.05758i 0.415247 0.195902i
\(430\) −5.85164 8.05410i −0.282191 0.388403i
\(431\) −21.8945 + 19.7139i −1.05462 + 0.949584i −0.998806 0.0488569i \(-0.984442\pi\)
−0.0558144 + 0.998441i \(0.517775\pi\)
\(432\) 0.341654 + 5.18491i 0.0164379 + 0.249459i
\(433\) 24.6658i 1.18536i 0.805438 + 0.592680i \(0.201930\pi\)
−0.805438 + 0.592680i \(0.798070\pi\)
\(434\) 22.3162 + 4.28570i 1.07121 + 0.205720i
\(435\) −0.108813 + 1.31137i −0.00521716 + 0.0628753i
\(436\) −2.59598 7.98961i −0.124325 0.382633i
\(437\) 25.8597 + 28.7201i 1.23704 + 1.37387i
\(438\) −16.0620 + 9.74920i −0.767471 + 0.465835i
\(439\) 3.75883 + 6.51048i 0.179399 + 0.310728i 0.941675 0.336524i \(-0.109251\pi\)
−0.762276 + 0.647252i \(0.775918\pi\)
\(440\) 1.80897 3.13323i 0.0862393 0.149371i
\(441\) 1.76198 28.9186i 0.0839040 1.37708i
\(442\) 1.11756 + 0.811951i 0.0531567 + 0.0386206i
\(443\) 21.9356 + 2.30552i 1.04219 + 0.109539i 0.610126 0.792304i \(-0.291119\pi\)
0.432064 + 0.901843i \(0.357785\pi\)
\(444\) 8.92738 + 9.48787i 0.423675 + 0.450275i
\(445\) 2.55562 5.74002i 0.121148 0.272103i
\(446\) 10.9145 + 2.31995i 0.516817 + 0.109853i
\(447\) −5.13061 40.2924i −0.242669 1.90577i
\(448\) 3.72850 1.66003i 0.176155 0.0784293i
\(449\) −3.36491 + 10.3561i −0.158800 + 0.488737i −0.998526 0.0542738i \(-0.982716\pi\)
0.839726 + 0.543010i \(0.182716\pi\)
\(450\) 2.66135 + 1.38463i 0.125457 + 0.0652719i
\(451\) 9.45835 + 21.2438i 0.445376 + 1.00033i
\(452\) 3.99004 + 18.7717i 0.187676 + 0.882945i
\(453\) −0.643711 + 2.13972i −0.0302442 + 0.100533i
\(454\) 16.3586 + 7.28333i 0.767748 + 0.341824i
\(455\) 4.14442 4.60285i 0.194294 0.215785i
\(456\) −10.4366 1.98018i −0.488736 0.0927306i
\(457\) 13.5484 18.6478i 0.633768 0.872307i −0.364496 0.931205i \(-0.618759\pi\)
0.998264 + 0.0588978i \(0.0187586\pi\)
\(458\) −0.744930 7.08754i −0.0348083 0.331179i
\(459\) 3.29924 3.38913i 0.153995 0.158191i
\(460\) −5.45716 + 3.15069i −0.254441 + 0.146902i
\(461\) 19.7483 14.3480i 0.919769 0.668251i −0.0236977 0.999719i \(-0.507544\pi\)
0.943466 + 0.331468i \(0.107544\pi\)
\(462\) −20.3564 + 15.4831i −0.947067 + 0.720341i
\(463\) −9.07616 + 2.94902i −0.421805 + 0.137053i −0.512226 0.858851i \(-0.671179\pi\)
0.0904208 + 0.995904i \(0.471179\pi\)
\(464\) 0.759720 0.0352691
\(465\) 8.14369 5.16529i 0.377655 0.239535i
\(466\) 1.77266 0.0821171
\(467\) −8.35410 + 2.71441i −0.386582 + 0.125608i −0.495858 0.868403i \(-0.665147\pi\)
0.109277 + 0.994011i \(0.465147\pi\)
\(468\) 3.83915 2.44707i 0.177465 0.113116i
\(469\) 20.9821 15.2444i 0.968864 0.703921i
\(470\) 8.49476 4.90445i 0.391834 0.226226i
\(471\) −12.2754 + 17.6993i −0.565621 + 0.815541i
\(472\) −0.899105 8.55442i −0.0413847 0.393749i
\(473\) 21.1709 29.1393i 0.973440 1.33982i
\(474\) 4.22558 22.2709i 0.194088 1.02294i
\(475\) −4.10381 + 4.55774i −0.188296 + 0.209123i
\(476\) −3.39388 1.51105i −0.155558 0.0692589i
\(477\) −29.3250 11.5436i −1.34270 0.528543i
\(478\) 1.08518 + 5.10535i 0.0496348 + 0.233513i
\(479\) 7.12197 + 15.9962i 0.325411 + 0.730885i 0.999973 0.00733307i \(-0.00233421\pi\)
−0.674562 + 0.738218i \(0.735668\pi\)
\(480\) 0.669617 1.59738i 0.0305637 0.0729099i
\(481\) 3.52724 10.8557i 0.160828 0.494978i
\(482\) 1.68912 0.752045i 0.0769373 0.0342547i
\(483\) 44.1883 5.62669i 2.01064 0.256023i
\(484\) 2.04384 + 0.434433i 0.0929020 + 0.0197469i
\(485\) 5.06945 11.3862i 0.230192 0.517019i
\(486\) −6.41074 14.2092i −0.290797 0.644544i
\(487\) 21.8795 + 2.29963i 0.991455 + 0.104206i 0.586345 0.810062i \(-0.300566\pi\)
0.405111 + 0.914268i \(0.367233\pi\)
\(488\) −8.77575 6.37595i −0.397259 0.288626i
\(489\) −0.851339 38.8093i −0.0384989 1.75502i
\(490\) −4.82871 + 8.36357i −0.218139 + 0.377828i
\(491\) 1.16691 + 2.02115i 0.0526619 + 0.0912131i 0.891155 0.453700i \(-0.149896\pi\)
−0.838493 + 0.544913i \(0.816563\pi\)
\(492\) 5.77646 + 9.51681i 0.260423 + 0.429051i
\(493\) −0.462729 0.513913i −0.0208403 0.0231455i
\(494\) 2.87613 + 8.85180i 0.129403 + 0.398261i
\(495\) −1.78891 + 10.7054i −0.0804054 + 0.481171i
\(496\) −3.36077 4.43906i −0.150903 0.199320i
\(497\) 11.0756i 0.496808i
\(498\) 12.2310 2.88151i 0.548083 0.129124i
\(499\) −2.81885 + 2.53810i −0.126189 + 0.113621i −0.729809 0.683651i \(-0.760391\pi\)
0.603620 + 0.797272i \(0.293724\pi\)
\(500\) −0.587785 0.809017i −0.0262866 0.0361803i
\(501\) 3.89961 + 8.26587i 0.174222 + 0.369292i
\(502\) −7.32713 4.23032i −0.327026 0.188808i
\(503\) −15.8829 + 1.66936i −0.708184 + 0.0744331i −0.451771 0.892134i \(-0.649207\pi\)
−0.256413 + 0.966567i \(0.582541\pi\)
\(504\) −8.73108 + 8.58400i −0.388913 + 0.382362i
\(505\) −0.837506 + 7.96834i −0.0372685 + 0.354587i
\(506\) −16.9422 15.2549i −0.753174 0.678161i
\(507\) 16.2448 + 8.90973i 0.721456 + 0.395695i
\(508\) 0.882170 4.15028i 0.0391400 0.184139i
\(509\) −24.1466 + 5.13251i −1.07028 + 0.227494i −0.709176 0.705032i \(-0.750933\pi\)
−0.361102 + 0.932526i \(0.617599\pi\)
\(510\) −1.48839 + 0.519965i −0.0659072 + 0.0230244i
\(511\) −42.1073 13.6815i −1.86272 0.605234i
\(512\) −0.951057 0.309017i −0.0420312 0.0136568i
\(513\) 31.4060 5.40783i 1.38661 0.238762i
\(514\) −27.8177 + 5.91284i −1.22699 + 0.260804i
\(515\) −3.50812 + 16.5044i −0.154586 + 0.727271i
\(516\) 8.29207 15.1186i 0.365038 0.665560i
\(517\) 26.3728 + 23.7461i 1.15987 + 1.04435i
\(518\) −3.20879 + 30.5296i −0.140986 + 1.34139i
\(519\) −6.83130 + 7.92998i −0.299861 + 0.348087i
\(520\) −1.50926 + 0.158629i −0.0661854 + 0.00695636i
\(521\) −28.8955 16.6828i −1.26593 0.730887i −0.291718 0.956504i \(-0.594227\pi\)
−0.974216 + 0.225617i \(0.927560\pi\)
\(522\) −2.13464 + 0.798676i −0.0934307 + 0.0349571i
\(523\) 14.0585 + 19.3498i 0.614733 + 0.846108i 0.996956 0.0779624i \(-0.0248414\pi\)
−0.382223 + 0.924070i \(0.624841\pi\)
\(524\) −1.33778 + 1.20454i −0.0584410 + 0.0526205i
\(525\) 1.62104 + 6.88073i 0.0707481 + 0.300300i
\(526\) 7.85841i 0.342643i
\(527\) −0.955828 + 4.97712i −0.0416365 + 0.216807i
\(528\) 6.24500 + 0.518188i 0.271779 + 0.0225512i
\(529\) 5.16287 + 15.8897i 0.224473 + 0.690856i
\(530\) 7.02928 + 7.80680i 0.305332 + 0.339106i
\(531\) 11.5193 + 23.0908i 0.499897 + 1.00205i
\(532\) −12.5156 21.6776i −0.542618 0.939842i
\(533\) 4.87708 8.44734i 0.211250 0.365895i
\(534\) 10.8803 0.238675i 0.470835 0.0103285i
\(535\) −12.7131 9.23662i −0.549636 0.399334i
\(536\) −6.31978 0.664236i −0.272973 0.0286906i
\(537\) −16.6092 + 15.6280i −0.716739 + 0.674398i
\(538\) −10.2458 + 23.0124i −0.441728 + 0.992137i
\(539\) −34.1765 7.26443i −1.47208 0.312901i
\(540\) −0.202188 + 5.19222i −0.00870077 + 0.223437i
\(541\) −22.8778 + 10.1858i −0.983592 + 0.437924i −0.834565 0.550910i \(-0.814281\pi\)
−0.149027 + 0.988833i \(0.547614\pi\)
\(542\) −3.36086 + 10.3437i −0.144361 + 0.444299i
\(543\) −31.8547 13.3534i −1.36702 0.573051i
\(544\) 0.370233 + 0.831557i 0.0158736 + 0.0356527i
\(545\) −1.74662 8.21719i −0.0748169 0.351986i
\(546\) 10.2731 + 3.09054i 0.439647 + 0.132263i
\(547\) −35.4599 15.7878i −1.51616 0.675036i −0.531106 0.847305i \(-0.678223\pi\)
−0.985050 + 0.172269i \(0.944890\pi\)
\(548\) 3.05215 3.38976i 0.130382 0.144803i
\(549\) 31.3607 + 8.68924i 1.33844 + 0.370848i
\(550\) 2.12657 2.92698i 0.0906774 0.124807i
\(551\) −0.487040 4.63387i −0.0207486 0.197410i
\(552\) −8.96843 6.22008i −0.381722 0.264744i
\(553\) 46.2586 26.7074i 1.96711 1.13571i
\(554\) −9.14050 + 6.64096i −0.388342 + 0.282147i
\(555\) 7.88672 + 10.3691i 0.334773 + 0.440142i
\(556\) −1.00223 + 0.325643i −0.0425038 + 0.0138103i
\(557\) 30.8934 1.30900 0.654499 0.756063i \(-0.272880\pi\)
0.654499 + 0.756063i \(0.272880\pi\)
\(558\) 14.1097 + 8.93964i 0.597310 + 0.378445i
\(559\) −15.1081 −0.639003
\(560\) 3.88159 1.26121i 0.164027 0.0532957i
\(561\) −3.45316 4.54004i −0.145793 0.191681i
\(562\) 5.43069 3.94563i 0.229080 0.166436i
\(563\) 16.1560 9.32770i 0.680896 0.393116i −0.119296 0.992859i \(-0.538064\pi\)
0.800193 + 0.599743i \(0.204731\pi\)
\(564\) 13.9605 + 9.68235i 0.587844 + 0.407700i
\(565\) 2.00601 + 19.0859i 0.0843934 + 0.802950i
\(566\) −8.72171 + 12.0044i −0.366601 + 0.504583i
\(567\) 15.5082 33.2979i 0.651282 1.39838i
\(568\) 1.81582 2.01668i 0.0761903 0.0846179i
\(569\) 32.4767 + 14.4596i 1.36149 + 0.606176i 0.951989 0.306132i \(-0.0990349\pi\)
0.409505 + 0.912308i \(0.365702\pi\)
\(570\) −10.1724 3.06025i −0.426075 0.128180i
\(571\) −4.71064 22.1618i −0.197134 0.927443i −0.959808 0.280659i \(-0.909447\pi\)
0.762673 0.646784i \(-0.223886\pi\)
\(572\) −2.23318 5.01581i −0.0933740 0.209722i
\(573\) −6.67628 2.79868i −0.278905 0.116917i
\(574\) −8.10637 + 24.9488i −0.338353 + 1.04134i
\(575\) −5.75660 + 2.56300i −0.240067 + 0.106885i
\(576\) 2.99711 0.131556i 0.124880 0.00548148i
\(577\) −36.0102 7.65420i −1.49912 0.318649i −0.615984 0.787759i \(-0.711241\pi\)
−0.883140 + 0.469110i \(0.844575\pi\)
\(578\) −6.57752 + 14.7733i −0.273589 + 0.614490i
\(579\) 3.77138 3.54859i 0.156733 0.147474i
\(580\) 0.755558 + 0.0794124i 0.0313729 + 0.00329742i
\(581\) 23.9547 + 17.4041i 0.993810 + 0.722045i
\(582\) 21.5826 0.473446i 0.894627 0.0196250i
\(583\) −19.0034 + 32.9149i −0.787040 + 1.36319i
\(584\) 5.42398 + 9.39460i 0.224446 + 0.388751i
\(585\) 4.07391 2.03236i 0.168435 0.0840277i
\(586\) 3.57697 + 3.97262i 0.147763 + 0.164108i
\(587\) 5.36028 + 16.4972i 0.221242 + 0.680914i 0.998651 + 0.0519183i \(0.0165336\pi\)
−0.777409 + 0.628995i \(0.783466\pi\)
\(588\) −16.6699 1.38321i −0.687453 0.0570424i
\(589\) −24.9213 + 23.3446i −1.02686 + 0.961898i
\(590\) 8.60154i 0.354120i
\(591\) 0.806500 + 3.42330i 0.0331750 + 0.140816i
\(592\) 5.58955 5.03285i 0.229729 0.206849i
\(593\) 9.32275 + 12.8317i 0.382839 + 0.526933i 0.956334 0.292276i \(-0.0944126\pi\)
−0.573495 + 0.819209i \(0.694413\pi\)
\(594\) −18.0918 + 5.10923i −0.742315 + 0.209634i
\(595\) −3.21734 1.85753i −0.131898 0.0761513i
\(596\) −23.3222 + 2.45126i −0.955315 + 0.100408i
\(597\) 15.5243 18.0211i 0.635369 0.737555i
\(598\) −0.999584 + 9.51041i −0.0408760 + 0.388910i
\(599\) −25.1003 22.6004i −1.02557 0.923426i −0.0284735 0.999595i \(-0.509065\pi\)
−0.997095 + 0.0761685i \(0.975731\pi\)
\(600\) 0.832920 1.51863i 0.0340038 0.0619979i
\(601\) −2.64159 + 12.4277i −0.107753 + 0.506937i 0.890860 + 0.454278i \(0.150103\pi\)
−0.998613 + 0.0526588i \(0.983230\pi\)
\(602\) 39.7436 8.44777i 1.61983 0.344305i
\(603\) 18.4554 4.77749i 0.751564 0.194554i
\(604\) 1.22692 + 0.398651i 0.0499227 + 0.0162209i
\(605\) 1.98724 + 0.645693i 0.0807927 + 0.0262511i
\(606\) −13.1012 + 4.57684i −0.532198 + 0.185921i
\(607\) −30.1846 + 6.41593i −1.22515 + 0.260415i −0.774668 0.632368i \(-0.782083\pi\)
−0.450487 + 0.892783i \(0.648750\pi\)
\(608\) −1.27513 + 5.99902i −0.0517134 + 0.243293i
\(609\) −4.70880 2.58262i −0.190810 0.104653i
\(610\) −8.06120 7.25834i −0.326389 0.293882i
\(611\) 1.55598 14.8042i 0.0629483 0.598913i
\(612\) −1.91447 1.94727i −0.0773877 0.0787137i
\(613\) 32.8955 3.45746i 1.32864 0.139646i 0.586531 0.809927i \(-0.300493\pi\)
0.742107 + 0.670281i \(0.233826\pi\)
\(614\) 0.325041 + 0.187663i 0.0131176 + 0.00757345i
\(615\) 4.75004 + 10.0685i 0.191540 + 0.406000i
\(616\) 8.67929 + 11.9460i 0.349699 + 0.481319i
\(617\) −12.0771 + 10.8743i −0.486206 + 0.437782i −0.875418 0.483366i \(-0.839414\pi\)
0.389212 + 0.921148i \(0.372747\pi\)
\(618\) −28.4463 + 6.70171i −1.14428 + 0.269582i
\(619\) 15.9164i 0.639735i −0.947462 0.319868i \(-0.896362\pi\)
0.947462 0.319868i \(-0.103638\pi\)
\(620\) −2.87835 4.76604i −0.115597 0.191409i
\(621\) 31.7383 + 8.04870i 1.27361 + 0.322983i
\(622\) 0.0963548 + 0.296550i 0.00386348 + 0.0118906i
\(623\) 17.1593 + 19.0573i 0.687471 + 0.763514i
\(624\) −1.36386 2.24699i −0.0545982 0.0899515i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 11.8153 20.4648i 0.472236 0.817936i
\(627\) −0.842871 38.4232i −0.0336610 1.53448i
\(628\) 10.0608 + 7.30961i 0.401470 + 0.291685i
\(629\) −6.80894 0.715649i −0.271490 0.0285348i
\(630\) −9.58052 + 7.62433i −0.381697 + 0.303761i
\(631\) −9.57691 + 21.5101i −0.381251 + 0.856303i 0.616376 + 0.787452i \(0.288600\pi\)
−0.997627 + 0.0688515i \(0.978067\pi\)
\(632\) −12.8015 2.72105i −0.509218 0.108238i
\(633\) 5.22893 0.665822i 0.207831 0.0264641i
\(634\) 3.73187 1.66153i 0.148211 0.0659879i
\(635\) 1.31116 4.03534i 0.0520318 0.160137i
\(636\) −7.03439 + 16.7806i −0.278932 + 0.665393i
\(637\) 5.96106 + 13.3888i 0.236186 + 0.530482i
\(638\) 0.571471 + 2.68856i 0.0226248 + 0.106441i
\(639\) −2.98197 + 7.57533i −0.117965 + 0.299676i
\(640\) −0.913545 0.406737i −0.0361111 0.0160777i
\(641\) 14.0213 15.5722i 0.553806 0.615064i −0.399623 0.916679i \(-0.630859\pi\)
0.953430 + 0.301615i \(0.0975258\pi\)
\(642\) 5.07369 26.7409i 0.200242 1.05538i
\(643\) 3.56059 4.90072i 0.140416 0.193266i −0.733017 0.680210i \(-0.761889\pi\)
0.873433 + 0.486944i \(0.161889\pi\)
\(644\) −2.68828 25.5773i −0.105933 1.00789i
\(645\) 9.82697 14.1690i 0.386936 0.557905i
\(646\) 4.83469 2.79131i 0.190218 0.109823i
\(647\) −21.4776 + 15.6044i −0.844371 + 0.613471i −0.923588 0.383386i \(-0.874758\pi\)
0.0792172 + 0.996857i \(0.474758\pi\)
\(648\) −8.28291 + 3.52044i −0.325383 + 0.138296i
\(649\) 29.5967 9.61657i 1.16177 0.377483i
\(650\) −1.51757 −0.0595241
\(651\) 5.73997 + 38.9383i 0.224967 + 1.52611i
\(652\) −22.4119 −0.877719
\(653\) −11.4812 + 3.73046i −0.449293 + 0.145984i −0.524919 0.851152i \(-0.675904\pi\)
0.0756261 + 0.997136i \(0.475904\pi\)
\(654\) 11.5812 8.80871i 0.452863 0.344448i
\(655\) −1.45636 + 1.05811i −0.0569046 + 0.0413436i
\(656\) 5.56636 3.21374i 0.217330 0.125475i
\(657\) −25.1165 20.6946i −0.979886 0.807373i
\(658\) 4.18465 + 39.8143i 0.163135 + 1.55212i
\(659\) 17.3549 23.8870i 0.676053 0.930507i −0.323826 0.946117i \(-0.604969\pi\)
0.999878 + 0.0156102i \(0.00496909\pi\)
\(660\) 6.15662 + 1.16813i 0.239646 + 0.0454694i
\(661\) −31.1022 + 34.5425i −1.20974 + 1.34355i −0.287088 + 0.957904i \(0.592687\pi\)
−0.922648 + 0.385644i \(0.873979\pi\)
\(662\) −12.2438 5.45127i −0.475867 0.211870i
\(663\) −0.689275 + 2.29118i −0.0267692 + 0.0889819i
\(664\) −1.50837 7.09634i −0.0585362 0.275391i
\(665\) −10.1811 22.8671i −0.394805 0.886746i
\(666\) −10.4144 + 20.0173i −0.403551 + 0.775655i
\(667\) 1.47935 4.55298i 0.0572808 0.176292i
\(668\) 4.82053 2.14624i 0.186512 0.0830404i
\(669\) 2.44126 + 19.1720i 0.0943844 + 0.741233i
\(670\) −6.21573 1.32119i −0.240135 0.0510422i
\(671\) 15.9625 35.8524i 0.616226 1.38407i
\(672\) 4.84423 + 5.14837i 0.186870 + 0.198603i
\(673\) −25.8039 2.71210i −0.994669 0.104544i −0.406814 0.913511i \(-0.633360\pi\)
−0.587854 + 0.808967i \(0.700027\pi\)
\(674\) 21.8104 + 15.8462i 0.840105 + 0.610372i
\(675\) −0.743814 + 5.14264i −0.0286294 + 0.197940i
\(676\) 5.34849 9.26385i 0.205711 0.356302i
\(677\) 11.0710 + 19.1756i 0.425494 + 0.736977i 0.996466 0.0839919i \(-0.0267670\pi\)
−0.570972 + 0.820969i \(0.693434\pi\)
\(678\) −28.4151 + 17.2472i −1.09128 + 0.662376i
\(679\) 34.0379 + 37.8029i 1.30625 + 1.45074i
\(680\) 0.281284 + 0.865702i 0.0107867 + 0.0331982i
\(681\) −2.56473 + 30.9092i −0.0982808 + 1.18444i
\(682\) 13.1813 15.2325i 0.504738 0.583282i
\(683\) 2.20750i 0.0844677i 0.999108 + 0.0422338i \(0.0134474\pi\)
−0.999108 + 0.0422338i \(0.986553\pi\)
\(684\) −2.72380 18.1964i −0.104147 0.695757i
\(685\) 3.38976 3.05215i 0.129516 0.116617i
\(686\) −6.37504 8.77449i −0.243400 0.335012i
\(687\) 11.1636 5.26669i 0.425919 0.200937i
\(688\) −8.62164 4.97771i −0.328697 0.189773i
\(689\) 15.8549 1.66642i 0.604023 0.0634854i
\(690\) −8.26913 7.12346i −0.314800 0.271186i
\(691\) −5.20613 + 49.5330i −0.198050 + 1.88432i 0.219417 + 0.975631i \(0.429585\pi\)
−0.417467 + 0.908692i \(0.637082\pi\)
\(692\) 4.49078 + 4.04351i 0.170714 + 0.153711i
\(693\) −36.9454 24.4413i −1.40344 0.928447i
\(694\) 5.75016 27.0524i 0.218273 1.02689i
\(695\) −1.03077 + 0.219098i −0.0390995 + 0.00831086i
\(696\) 0.433976 + 1.24225i 0.0164498 + 0.0470874i
\(697\) −5.56428 1.80794i −0.210762 0.0684807i
\(698\) −19.2633 6.25901i −0.729125 0.236907i
\(699\) 1.01260 + 2.89856i 0.0383001 + 0.109634i
\(700\) 3.99216 0.848560i 0.150890 0.0320726i
\(701\) −1.33306 + 6.27154i −0.0503489 + 0.236873i −0.996125 0.0879456i \(-0.971970\pi\)
0.945776 + 0.324818i \(0.105303\pi\)
\(702\) 6.19435 + 4.87972i 0.233791 + 0.184173i
\(703\) −34.2809 30.8667i −1.29293 1.16416i
\(704\) 0.378178 3.59812i 0.0142531 0.135609i
\(705\) 12.8720 + 11.0886i 0.484786 + 0.417620i
\(706\) 16.6682 1.75190i 0.627317 0.0659337i
\(707\) −28.3197 16.3504i −1.06507 0.614919i
\(708\) 13.4741 6.35672i 0.506388 0.238900i
\(709\) 3.87884 + 5.33877i 0.145673 + 0.200502i 0.875618 0.483004i \(-0.160454\pi\)
−0.729945 + 0.683506i \(0.760454\pi\)
\(710\) 2.01668 1.81582i 0.0756845 0.0681467i
\(711\) 38.8300 5.81242i 1.45624 0.217983i
\(712\) 6.28324i 0.235474i
\(713\) −33.1473 + 11.4971i −1.24138 + 0.430570i
\(714\) 0.532098 6.41264i 0.0199133 0.239987i
\(715\) −1.69665 5.22176i −0.0634513 0.195283i
\(716\) 8.81035 + 9.78489i 0.329258 + 0.365678i
\(717\) −7.72810 + 4.69076i −0.288611 + 0.175180i
\(718\) 3.54949 + 6.14789i 0.132466 + 0.229437i
\(719\) −7.51176 + 13.0108i −0.280141 + 0.485219i −0.971419 0.237370i \(-0.923715\pi\)
0.691278 + 0.722589i \(0.257048\pi\)
\(720\) 2.99445 + 0.182449i 0.111596 + 0.00679947i
\(721\) −55.7130 40.4779i −2.07486 1.50748i
\(722\) 18.5123 + 1.94572i 0.688955 + 0.0724121i
\(723\) 2.19458 + 2.33236i 0.0816173 + 0.0867415i
\(724\) −8.11110 + 18.2178i −0.301447 + 0.677060i
\(725\) 0.743119 + 0.157955i 0.0275987 + 0.00586629i
\(726\) 0.457148 + 3.59014i 0.0169664 + 0.133243i
\(727\) −4.39587 + 1.95717i −0.163034 + 0.0725874i −0.486631 0.873608i \(-0.661774\pi\)
0.323597 + 0.946195i \(0.395108\pi\)
\(728\) 1.91397 5.89060i 0.0709365 0.218320i
\(729\) 19.5721 18.5992i 0.724894 0.688861i
\(730\) 4.41226 + 9.91010i 0.163305 + 0.366789i
\(731\) 1.88408 + 8.86392i 0.0696854 + 0.327844i
\(732\) 5.41262 17.9917i 0.200056 0.664994i
\(733\) −1.31670 0.586235i −0.0486336 0.0216531i 0.382276 0.924048i \(-0.375140\pi\)
−0.430909 + 0.902395i \(0.641807\pi\)
\(734\) −11.8670 + 13.1796i −0.438019 + 0.486469i
\(735\) −16.4340 3.11810i −0.606175 0.115013i
\(736\) −3.70386 + 5.09792i −0.136526 + 0.187912i
\(737\) −2.40317 22.8646i −0.0885218 0.842229i
\(738\) −12.2617 + 14.8816i −0.451358 + 0.547801i
\(739\) 40.1286 23.1682i 1.47615 0.852258i 0.476516 0.879166i \(-0.341899\pi\)
0.999638 + 0.0269081i \(0.00856615\pi\)
\(740\) 6.08500 4.42101i 0.223689 0.162520i
\(741\) −12.8310 + 9.75930i −0.471360 + 0.358517i
\(742\) −40.7765 + 13.2491i −1.49695 + 0.486389i
\(743\) 1.55250 0.0569556 0.0284778 0.999594i \(-0.490934\pi\)
0.0284778 + 0.999594i \(0.490934\pi\)
\(744\) 5.33872 8.03107i 0.195727 0.294433i
\(745\) −23.4507 −0.859166
\(746\) 18.7490 6.09192i 0.686450 0.223041i
\(747\) 11.6984 + 18.3534i 0.428022 + 0.671515i
\(748\) −2.66429 + 1.93572i −0.0974161 + 0.0707769i
\(749\) 55.5430 32.0677i 2.02950 1.17173i
\(750\) 0.987098 1.42325i 0.0360437 0.0519697i
\(751\) 2.22312 + 21.1516i 0.0811229 + 0.771833i 0.957154 + 0.289579i \(0.0935152\pi\)
−0.876031 + 0.482254i \(0.839818\pi\)
\(752\) 5.76553 7.93557i 0.210247 0.289381i
\(753\) 2.73169 14.3974i 0.0995485 0.524670i
\(754\) 0.771461 0.856794i 0.0280949 0.0312026i
\(755\) 1.17853 + 0.524715i 0.0428911 + 0.0190963i
\(756\) −19.0235 9.37312i −0.691879 0.340897i
\(757\) 1.50186 + 7.06571i 0.0545862 + 0.256808i 0.996976 0.0777086i \(-0.0247604\pi\)
−0.942390 + 0.334516i \(0.891427\pi\)
\(758\) −5.96247 13.3919i −0.216567 0.486416i
\(759\) 15.2660 36.4170i 0.554119 1.32186i
\(760\) −1.89522 + 5.83287i −0.0687467 + 0.211581i
\(761\) 24.2538 10.7985i 0.879199 0.391445i 0.0830503 0.996545i \(-0.473534\pi\)
0.796149 + 0.605101i \(0.206867\pi\)
\(762\) 7.29023 0.928297i 0.264097 0.0336286i
\(763\) 33.5372 + 7.12856i 1.21413 + 0.258071i
\(764\) −1.69997 + 3.81819i −0.0615026 + 0.138137i
\(765\) −1.70043 2.13672i −0.0614793 0.0772532i
\(766\) 20.2070 + 2.12384i 0.730108 + 0.0767375i
\(767\) −10.5605 7.67263i −0.381316 0.277042i
\(768\) −0.0379860 1.73163i −0.00137070 0.0624850i
\(769\) −11.1980 + 19.3954i −0.403808 + 0.699417i −0.994182 0.107713i \(-0.965647\pi\)
0.590374 + 0.807130i \(0.298980\pi\)
\(770\) 7.38304 + 12.7878i 0.266066 + 0.460841i
\(771\) −25.5587 42.1084i −0.920474 1.51650i
\(772\) −2.00053 2.22182i −0.0720007 0.0799649i
\(773\) −5.07522 15.6199i −0.182543 0.561809i 0.817355 0.576135i \(-0.195440\pi\)