Properties

Label 483.2.y.a.25.14
Level $483$
Weight $2$
Character 483.25
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 25.14
Character \(\chi\) \(=\) 483.25
Dual form 483.2.y.a.58.14

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0924412 - 1.94058i) q^{2} +(-0.928368 - 0.371662i) q^{3} +(-1.76636 - 0.168667i) q^{4} +(0.940033 + 3.87487i) q^{5} +(-0.807060 + 1.76721i) q^{6} +(-1.58926 - 2.11524i) q^{7} +(0.0623778 - 0.433847i) q^{8} +(0.723734 + 0.690079i) q^{9} +O(q^{10})\) \(q+(0.0924412 - 1.94058i) q^{2} +(-0.928368 - 0.371662i) q^{3} +(-1.76636 - 0.168667i) q^{4} +(0.940033 + 3.87487i) q^{5} +(-0.807060 + 1.76721i) q^{6} +(-1.58926 - 2.11524i) q^{7} +(0.0623778 - 0.433847i) q^{8} +(0.723734 + 0.690079i) q^{9} +(7.60638 - 1.46601i) q^{10} +(-0.161604 - 3.39248i) q^{11} +(1.57714 + 0.813073i) q^{12} +(-2.43028 - 2.80470i) q^{13} +(-4.25171 + 2.88855i) q^{14} +(0.567447 - 3.94668i) q^{15} +(-4.32080 - 0.832766i) q^{16} +(-1.66660 - 2.34041i) q^{17} +(1.40606 - 1.34067i) q^{18} +(2.81544 - 3.95373i) q^{19} +(-1.00687 - 7.00295i) q^{20} +(0.689263 + 2.55439i) q^{21} -6.59831 q^{22} +(0.0390912 - 4.79567i) q^{23} +(-0.219154 + 0.379586i) q^{24} +(-9.68676 + 4.99387i) q^{25} +(-5.66739 + 4.45689i) q^{26} +(-0.415415 - 0.909632i) q^{27} +(2.45043 + 4.00433i) q^{28} +(3.14457 - 6.88565i) q^{29} +(-7.60638 - 1.46601i) q^{30} +(5.49009 + 4.31745i) q^{31} +(-1.80880 + 7.45596i) q^{32} +(-1.11083 + 3.20953i) q^{33} +(-4.69582 + 3.01782i) q^{34} +(6.70232 - 8.14657i) q^{35} +(-1.16198 - 1.34100i) q^{36} +(-4.04011 - 3.85224i) q^{37} +(-7.41226 - 5.82907i) q^{38} +(1.21380 + 3.50703i) q^{39} +(1.73974 - 0.166125i) q^{40} +(8.04593 + 2.36250i) q^{41} +(5.02071 - 1.10144i) q^{42} +(0.792764 + 5.51379i) q^{43} +(-0.286748 + 6.01959i) q^{44} +(-1.99363 + 3.45307i) q^{45} +(-9.30277 - 0.519177i) q^{46} +(1.81624 + 3.14583i) q^{47} +(3.70178 + 2.37899i) q^{48} +(-1.94850 + 6.72334i) q^{49} +(8.79554 + 19.2596i) q^{50} +(0.677375 + 2.79218i) q^{51} +(3.81969 + 5.36400i) q^{52} +(1.16363 + 3.36210i) q^{53} +(-1.80361 + 0.722058i) q^{54} +(12.9935 - 3.81523i) q^{55} +(-1.01683 + 0.557552i) q^{56} +(-4.08322 + 2.62412i) q^{57} +(-13.0715 - 6.73881i) q^{58} +(7.25656 - 1.39859i) q^{59} +(-1.66799 + 6.87553i) q^{60} +(-10.0672 + 4.03031i) q^{61} +(8.88587 - 10.2548i) q^{62} +(0.309482 - 2.62759i) q^{63} +(5.85752 + 1.71992i) q^{64} +(8.58328 - 12.0535i) q^{65} +(6.12566 + 2.45235i) q^{66} +(-6.11412 + 3.15205i) q^{67} +(2.54906 + 4.41511i) q^{68} +(-1.81866 + 4.43762i) q^{69} +(-15.1895 - 13.7595i) q^{70} +(-1.06578 - 0.684937i) q^{71} +(0.344534 - 0.270944i) q^{72} +(-10.8644 - 1.03742i) q^{73} +(-7.84904 + 7.48405i) q^{74} +(10.8489 - 1.03595i) q^{75} +(-5.63993 + 6.50883i) q^{76} +(-6.91909 + 5.73337i) q^{77} +(6.91788 - 2.03127i) q^{78} +(1.62220 - 4.68704i) q^{79} +(-0.834835 - 17.5253i) q^{80} +(0.0475819 + 0.998867i) q^{81} +(5.32839 - 15.3954i) q^{82} +(4.29313 - 1.26058i) q^{83} +(-0.786644 - 4.62822i) q^{84} +(7.50214 - 8.65793i) q^{85} +(10.7732 - 1.02872i) q^{86} +(-5.47846 + 5.22370i) q^{87} +(-1.48190 - 0.141504i) q^{88} +(3.11101 - 2.44652i) q^{89} +(6.51666 + 4.18800i) q^{90} +(-2.07026 + 9.59803i) q^{91} +(-0.877919 + 8.46427i) q^{92} +(-3.49219 - 6.04865i) q^{93} +(6.27262 - 3.23376i) q^{94} +(17.9668 + 7.19282i) q^{95} +(4.45033 - 6.24961i) q^{96} +(10.1814 + 2.98952i) q^{97} +(12.8671 + 4.40273i) q^{98} +(2.22412 - 2.56677i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 2 q^{2} - 16 q^{3} + 18 q^{4} - 2 q^{5} - 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 2 q^{2} - 16 q^{3} + 18 q^{4} - 2 q^{5} - 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9} + 8 q^{10} - 6 q^{11} - 18 q^{12} - 10 q^{14} + 18 q^{15} + 8 q^{16} + 4 q^{17} + 2 q^{18} + 18 q^{20} + 4 q^{21} - 176 q^{22} - 18 q^{23} - 6 q^{24} + 8 q^{25} - 14 q^{26} + 32 q^{27} + 46 q^{28} + 34 q^{29} - 8 q^{30} + 52 q^{31} - 8 q^{32} - 5 q^{33} - 24 q^{34} - 12 q^{35} - 14 q^{36} - 30 q^{37} - 157 q^{38} + 88 q^{40} - 28 q^{41} - 45 q^{42} + 64 q^{43} - 71 q^{44} - 2 q^{45} + 4 q^{46} + 36 q^{47} + 60 q^{48} + 28 q^{49} + 210 q^{50} - 26 q^{51} - 198 q^{52} - 10 q^{53} - 2 q^{54} - 4 q^{55} + 44 q^{57} + 31 q^{58} + 10 q^{59} - 2 q^{60} - 34 q^{61} - 8 q^{62} + 2 q^{63} + 84 q^{64} + 38 q^{65} - 12 q^{67} - 22 q^{68} + 8 q^{69} - 336 q^{70} - 144 q^{71} + 6 q^{72} - 16 q^{73} - 68 q^{74} - 30 q^{75} + 8 q^{76} + 98 q^{77} + 16 q^{78} + 26 q^{79} + 225 q^{80} + 16 q^{81} - 122 q^{82} + 44 q^{84} - 240 q^{85} - 26 q^{86} - 16 q^{87} + 43 q^{88} + 68 q^{89} - 16 q^{90} + 40 q^{91} - 222 q^{92} - 8 q^{93} + 137 q^{94} - 49 q^{95} + 30 q^{96} - 8 q^{97} + 137 q^{98} - 10 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0924412 1.94058i 0.0653658 1.37220i −0.693268 0.720679i \(-0.743830\pi\)
0.758634 0.651517i \(-0.225867\pi\)
\(3\) −0.928368 0.371662i −0.535993 0.214579i
\(4\) −1.76636 0.168667i −0.883178 0.0843333i
\(5\) 0.940033 + 3.87487i 0.420395 + 1.73289i 0.650298 + 0.759680i \(0.274644\pi\)
−0.229902 + 0.973214i \(0.573841\pi\)
\(6\) −0.807060 + 1.76721i −0.329481 + 0.721462i
\(7\) −1.58926 2.11524i −0.600684 0.799486i
\(8\) 0.0623778 0.433847i 0.0220539 0.153388i
\(9\) 0.723734 + 0.690079i 0.241245 + 0.230026i
\(10\) 7.60638 1.46601i 2.40535 0.463593i
\(11\) −0.161604 3.39248i −0.0487254 1.02287i −0.882366 0.470564i \(-0.844051\pi\)
0.833641 0.552307i \(-0.186253\pi\)
\(12\) 1.57714 + 0.813073i 0.455282 + 0.234714i
\(13\) −2.43028 2.80470i −0.674039 0.777883i 0.310963 0.950422i \(-0.399348\pi\)
−0.985003 + 0.172539i \(0.944803\pi\)
\(14\) −4.25171 + 2.88855i −1.13632 + 0.771998i
\(15\) 0.567447 3.94668i 0.146514 1.01903i
\(16\) −4.32080 0.832766i −1.08020 0.208191i
\(17\) −1.66660 2.34041i −0.404210 0.567634i 0.561427 0.827526i \(-0.310252\pi\)
−0.965638 + 0.259892i \(0.916313\pi\)
\(18\) 1.40606 1.34067i 0.331410 0.315999i
\(19\) 2.81544 3.95373i 0.645906 0.907048i −0.353693 0.935362i \(-0.615074\pi\)
0.999599 + 0.0283135i \(0.00901367\pi\)
\(20\) −1.00687 7.00295i −0.225143 1.56591i
\(21\) 0.689263 + 2.55439i 0.150410 + 0.557414i
\(22\) −6.59831 −1.40677
\(23\) 0.0390912 4.79567i 0.00815108 0.999967i
\(24\) −0.219154 + 0.379586i −0.0447347 + 0.0774827i
\(25\) −9.68676 + 4.99387i −1.93735 + 0.998774i
\(26\) −5.66739 + 4.45689i −1.11147 + 0.874067i
\(27\) −0.415415 0.909632i −0.0799467 0.175059i
\(28\) 2.45043 + 4.00433i 0.463088 + 0.756747i
\(29\) 3.14457 6.88565i 0.583932 1.27863i −0.355108 0.934825i \(-0.615556\pi\)
0.939040 0.343808i \(-0.111717\pi\)
\(30\) −7.60638 1.46601i −1.38873 0.267656i
\(31\) 5.49009 + 4.31745i 0.986049 + 0.775438i 0.974475 0.224495i \(-0.0720733\pi\)
0.0115741 + 0.999933i \(0.496316\pi\)
\(32\) −1.80880 + 7.45596i −0.319753 + 1.31804i
\(33\) −1.11083 + 3.20953i −0.193371 + 0.558708i
\(34\) −4.69582 + 3.01782i −0.805327 + 0.517552i
\(35\) 6.70232 8.14657i 1.13290 1.37702i
\(36\) −1.16198 1.34100i −0.193663 0.223499i
\(37\) −4.04011 3.85224i −0.664190 0.633304i 0.281045 0.959695i \(-0.409319\pi\)
−0.945235 + 0.326391i \(0.894168\pi\)
\(38\) −7.41226 5.82907i −1.20243 0.945600i
\(39\) 1.21380 + 3.50703i 0.194363 + 0.561575i
\(40\) 1.73974 0.166125i 0.275077 0.0262666i
\(41\) 8.04593 + 2.36250i 1.25656 + 0.368960i 0.841214 0.540702i \(-0.181841\pi\)
0.415349 + 0.909662i \(0.363660\pi\)
\(42\) 5.02071 1.10144i 0.774713 0.169956i
\(43\) 0.792764 + 5.51379i 0.120895 + 0.840846i 0.956545 + 0.291583i \(0.0941821\pi\)
−0.835650 + 0.549262i \(0.814909\pi\)
\(44\) −0.286748 + 6.01959i −0.0432289 + 0.907487i
\(45\) −1.99363 + 3.45307i −0.297193 + 0.514753i
\(46\) −9.30277 0.519177i −1.37162 0.0765485i
\(47\) 1.81624 + 3.14583i 0.264926 + 0.458866i 0.967544 0.252701i \(-0.0813190\pi\)
−0.702618 + 0.711567i \(0.747986\pi\)
\(48\) 3.70178 + 2.37899i 0.534306 + 0.343378i
\(49\) −1.94850 + 6.72334i −0.278357 + 0.960478i
\(50\) 8.79554 + 19.2596i 1.24388 + 2.72371i
\(51\) 0.677375 + 2.79218i 0.0948515 + 0.390983i
\(52\) 3.81969 + 5.36400i 0.529695 + 0.743853i
\(53\) 1.16363 + 3.36210i 0.159837 + 0.461819i 0.996274 0.0862440i \(-0.0274865\pi\)
−0.836437 + 0.548063i \(0.815365\pi\)
\(54\) −1.80361 + 0.722058i −0.245441 + 0.0982597i
\(55\) 12.9935 3.81523i 1.75204 0.514446i
\(56\) −1.01683 + 0.557552i −0.135879 + 0.0745061i
\(57\) −4.08322 + 2.62412i −0.540835 + 0.347574i
\(58\) −13.0715 6.73881i −1.71637 0.884849i
\(59\) 7.25656 1.39859i 0.944724 0.182081i 0.306447 0.951888i \(-0.400860\pi\)
0.638277 + 0.769807i \(0.279648\pi\)
\(60\) −1.66799 + 6.87553i −0.215336 + 0.887627i
\(61\) −10.0672 + 4.03031i −1.28898 + 0.516029i −0.911999 0.410193i \(-0.865461\pi\)
−0.376979 + 0.926222i \(0.623037\pi\)
\(62\) 8.88587 10.2548i 1.12851 1.30237i
\(63\) 0.309482 2.62759i 0.0389910 0.331045i
\(64\) 5.85752 + 1.71992i 0.732191 + 0.214991i
\(65\) 8.58328 12.0535i 1.06462 1.49506i
\(66\) 6.12566 + 2.45235i 0.754017 + 0.301863i
\(67\) −6.11412 + 3.15205i −0.746959 + 0.385084i −0.789291 0.614020i \(-0.789552\pi\)
0.0423321 + 0.999104i \(0.486521\pi\)
\(68\) 2.54906 + 4.41511i 0.309119 + 0.535410i
\(69\) −1.81866 + 4.43762i −0.218941 + 0.534227i
\(70\) −15.1895 13.7595i −1.81549 1.64457i
\(71\) −1.06578 0.684937i −0.126485 0.0812870i 0.475868 0.879516i \(-0.342134\pi\)
−0.602353 + 0.798229i \(0.705770\pi\)
\(72\) 0.344534 0.270944i 0.0406037 0.0319311i
\(73\) −10.8644 1.03742i −1.27158 0.121421i −0.562648 0.826696i \(-0.690217\pi\)
−0.708934 + 0.705275i \(0.750823\pi\)
\(74\) −7.84904 + 7.48405i −0.912433 + 0.870003i
\(75\) 10.8489 1.03595i 1.25272 0.119621i
\(76\) −5.63993 + 6.50883i −0.646944 + 0.746614i
\(77\) −6.91909 + 5.73337i −0.788503 + 0.653378i
\(78\) 6.91788 2.03127i 0.783296 0.229996i
\(79\) 1.62220 4.68704i 0.182512 0.527333i −0.816217 0.577746i \(-0.803933\pi\)
0.998728 + 0.0504129i \(0.0160537\pi\)
\(80\) −0.834835 17.5253i −0.0933374 1.95939i
\(81\) 0.0475819 + 0.998867i 0.00528688 + 0.110985i
\(82\) 5.32839 15.3954i 0.588422 1.70013i
\(83\) 4.29313 1.26058i 0.471232 0.138366i −0.0374898 0.999297i \(-0.511936\pi\)
0.508722 + 0.860931i \(0.330118\pi\)
\(84\) −0.786644 4.62822i −0.0858299 0.504980i
\(85\) 7.50214 8.65793i 0.813721 0.939084i
\(86\) 10.7732 1.02872i 1.16171 0.110930i
\(87\) −5.47846 + 5.22370i −0.587352 + 0.560039i
\(88\) −1.48190 0.141504i −0.157971 0.0150844i
\(89\) 3.11101 2.44652i 0.329766 0.259331i −0.439524 0.898231i \(-0.644853\pi\)
0.769290 + 0.638900i \(0.220610\pi\)
\(90\) 6.51666 + 4.18800i 0.686916 + 0.441454i
\(91\) −2.07026 + 9.59803i −0.217022 + 1.00615i
\(92\) −0.877919 + 8.46427i −0.0915293 + 0.882461i
\(93\) −3.49219 6.04865i −0.362123 0.627215i
\(94\) 6.27262 3.23376i 0.646971 0.333537i
\(95\) 17.9668 + 7.19282i 1.84335 + 0.737967i
\(96\) 4.45033 6.24961i 0.454210 0.637849i
\(97\) 10.1814 + 2.98952i 1.03376 + 0.303540i 0.754239 0.656600i \(-0.228006\pi\)
0.279522 + 0.960139i \(0.409824\pi\)
\(98\) 12.8671 + 4.40273i 1.29977 + 0.444743i
\(99\) 2.22412 2.56677i 0.223533 0.257970i
\(100\) 17.9526 7.18712i 1.79526 0.718712i
\(101\) 0.214122 0.882621i 0.0213059 0.0878241i −0.960166 0.279430i \(-0.909854\pi\)
0.981472 + 0.191606i \(0.0613696\pi\)
\(102\) 5.48106 1.05639i 0.542706 0.104598i
\(103\) −13.5010 6.96024i −1.33029 0.685813i −0.361194 0.932491i \(-0.617631\pi\)
−0.969098 + 0.246677i \(0.920661\pi\)
\(104\) −1.36841 + 0.879421i −0.134183 + 0.0862343i
\(105\) −9.25000 + 5.07201i −0.902707 + 0.494978i
\(106\) 6.63198 1.94732i 0.644155 0.189141i
\(107\) 5.51288 2.20702i 0.532950 0.213361i −0.0895480 0.995983i \(-0.528542\pi\)
0.622498 + 0.782622i \(0.286118\pi\)
\(108\) 0.580346 + 1.67680i 0.0558439 + 0.161350i
\(109\) 9.25195 + 12.9925i 0.886176 + 1.24446i 0.968791 + 0.247879i \(0.0797334\pi\)
−0.0826151 + 0.996582i \(0.526327\pi\)
\(110\) −6.20263 25.5676i −0.591398 2.43777i
\(111\) 2.31898 + 5.07785i 0.220108 + 0.481968i
\(112\) 5.10538 + 10.4630i 0.482413 + 0.988662i
\(113\) −15.4901 9.95487i −1.45718 0.936475i −0.998862 0.0476886i \(-0.984814\pi\)
−0.458321 0.888786i \(-0.651549\pi\)
\(114\) 4.71486 + 8.16638i 0.441587 + 0.764852i
\(115\) 18.6193 4.35661i 1.73626 0.406256i
\(116\) −6.71581 + 11.6321i −0.623548 + 1.08002i
\(117\) 0.176583 3.70694i 0.0163251 0.342707i
\(118\) −2.04326 14.2112i −0.188098 1.30825i
\(119\) −2.30188 + 7.24480i −0.211013 + 0.664129i
\(120\) −1.67686 0.492370i −0.153076 0.0449470i
\(121\) −0.532614 + 0.0508584i −0.0484194 + 0.00462349i
\(122\) 6.89052 + 19.9088i 0.623838 + 1.80246i
\(123\) −6.59153 5.18364i −0.594338 0.467393i
\(124\) −8.96925 8.55216i −0.805462 0.768007i
\(125\) −15.4009 17.7736i −1.37750 1.58972i
\(126\) −5.07043 0.843471i −0.451710 0.0751424i
\(127\) 6.95635 4.47057i 0.617276 0.396699i −0.194303 0.980942i \(-0.562245\pi\)
0.811579 + 0.584242i \(0.198608\pi\)
\(128\) −1.13956 + 3.29253i −0.100724 + 0.291022i
\(129\) 1.31329 5.41347i 0.115629 0.476629i
\(130\) −22.5974 17.7708i −1.98192 1.55860i
\(131\) −8.19382 1.57923i −0.715897 0.137978i −0.181720 0.983350i \(-0.558166\pi\)
−0.534177 + 0.845372i \(0.679379\pi\)
\(132\) 2.50346 5.48182i 0.217898 0.477131i
\(133\) −12.8376 + 0.328176i −1.11316 + 0.0284565i
\(134\) 5.55160 + 12.1563i 0.479585 + 1.05015i
\(135\) 3.13420 2.46476i 0.269749 0.212133i
\(136\) −1.11934 + 0.577061i −0.0959827 + 0.0494825i
\(137\) −1.28960 + 2.23365i −0.110178 + 0.190833i −0.915842 0.401539i \(-0.868475\pi\)
0.805664 + 0.592373i \(0.201809\pi\)
\(138\) 8.44343 + 3.93948i 0.718753 + 0.335350i
\(139\) −5.11214 −0.433606 −0.216803 0.976215i \(-0.569563\pi\)
−0.216803 + 0.976215i \(0.569563\pi\)
\(140\) −13.2127 + 13.2593i −1.11668 + 1.12061i
\(141\) −0.516957 3.59551i −0.0435356 0.302797i
\(142\) −1.42770 + 2.00492i −0.119810 + 0.168249i
\(143\) −9.12213 + 8.69794i −0.762831 + 0.727358i
\(144\) −2.55244 3.58439i −0.212703 0.298699i
\(145\) 29.6370 + 5.71206i 2.46122 + 0.474361i
\(146\) −3.01752 + 20.9873i −0.249732 + 1.73692i
\(147\) 4.30774 5.51755i 0.355296 0.455080i
\(148\) 6.48653 + 7.48586i 0.533190 + 0.615334i
\(149\) 1.17307 + 0.604762i 0.0961020 + 0.0495440i 0.505607 0.862764i \(-0.331268\pi\)
−0.409505 + 0.912308i \(0.634299\pi\)
\(150\) −1.00745 21.1489i −0.0822577 1.72680i
\(151\) 13.8443 2.66826i 1.12663 0.217140i 0.408304 0.912846i \(-0.366120\pi\)
0.718327 + 0.695706i \(0.244908\pi\)
\(152\) −1.53969 1.46810i −0.124886 0.119078i
\(153\) 0.408895 2.84393i 0.0330572 0.229918i
\(154\) 10.4864 + 13.9570i 0.845022 + 1.12469i
\(155\) −11.5687 + 25.3319i −0.929220 + 2.03471i
\(156\) −1.55248 6.39940i −0.124298 0.512362i
\(157\) 14.8901 + 1.42183i 1.18836 + 0.113475i 0.670446 0.741958i \(-0.266103\pi\)
0.517914 + 0.855433i \(0.326709\pi\)
\(158\) −8.94561 3.58128i −0.711674 0.284911i
\(159\) 0.169286 3.55374i 0.0134252 0.281830i
\(160\) −30.5912 −2.41845
\(161\) −10.2061 + 7.53889i −0.804356 + 0.594148i
\(162\) 1.94278 0.152639
\(163\) −0.289952 + 6.08684i −0.0227108 + 0.476758i 0.958650 + 0.284586i \(0.0918562\pi\)
−0.981361 + 0.192172i \(0.938447\pi\)
\(164\) −13.8135 5.53009i −1.07865 0.431828i
\(165\) −13.4807 1.28725i −1.04947 0.100213i
\(166\) −2.04939 8.44769i −0.159063 0.655668i
\(167\) 1.60797 3.52096i 0.124428 0.272460i −0.837159 0.546960i \(-0.815785\pi\)
0.961587 + 0.274500i \(0.0885123\pi\)
\(168\) 1.15121 0.139698i 0.0888178 0.0107779i
\(169\) −0.109952 + 0.764732i −0.00845784 + 0.0588256i
\(170\) −16.1079 15.3588i −1.23542 1.17797i
\(171\) 4.76602 0.918574i 0.364466 0.0702451i
\(172\) −0.470311 9.87304i −0.0358609 0.752812i
\(173\) 13.8639 + 7.14734i 1.05405 + 0.543402i 0.896012 0.444030i \(-0.146452\pi\)
0.158041 + 0.987433i \(0.449482\pi\)
\(174\) 9.63056 + 11.1143i 0.730091 + 0.842570i
\(175\) 25.9580 + 12.5533i 1.96224 + 0.948938i
\(176\) −2.12688 + 14.7928i −0.160320 + 1.11505i
\(177\) −7.25656 1.39859i −0.545436 0.105124i
\(178\) −4.46009 6.26331i −0.334298 0.469455i
\(179\) 18.3653 17.5113i 1.37269 1.30886i 0.467409 0.884041i \(-0.345187\pi\)
0.905280 0.424816i \(-0.139661\pi\)
\(180\) 4.10388 5.76309i 0.305885 0.429556i
\(181\) 3.52978 + 24.5501i 0.262366 + 1.82480i 0.514948 + 0.857221i \(0.327811\pi\)
−0.252582 + 0.967575i \(0.581280\pi\)
\(182\) 18.4344 + 4.90475i 1.36645 + 0.363564i
\(183\) 10.8440 0.801613
\(184\) −2.07815 0.316103i −0.153203 0.0233034i
\(185\) 11.1291 19.2761i 0.818226 1.41721i
\(186\) −12.0607 + 6.21772i −0.884333 + 0.455905i
\(187\) −7.67048 + 6.03213i −0.560921 + 0.441113i
\(188\) −2.67754 5.86299i −0.195280 0.427602i
\(189\) −1.26389 + 2.32435i −0.0919344 + 0.169071i
\(190\) 15.6191 34.2010i 1.13313 2.48120i
\(191\) −3.95014 0.761328i −0.285822 0.0550877i 0.0443249 0.999017i \(-0.485886\pi\)
−0.330147 + 0.943929i \(0.607098\pi\)
\(192\) −4.79871 3.77374i −0.346317 0.272347i
\(193\) 1.15624 4.76607i 0.0832276 0.343069i −0.914939 0.403592i \(-0.867762\pi\)
0.998167 + 0.0605227i \(0.0192768\pi\)
\(194\) 6.74258 19.4814i 0.484089 1.39868i
\(195\) −12.4483 + 8.00003i −0.891440 + 0.572894i
\(196\) 4.57574 11.5472i 0.326839 0.824798i
\(197\) 17.6086 + 20.3214i 1.25456 + 1.44784i 0.844298 + 0.535874i \(0.180018\pi\)
0.410264 + 0.911967i \(0.365437\pi\)
\(198\) −4.77542 4.55336i −0.339375 0.323593i
\(199\) −3.66118 2.87918i −0.259534 0.204100i 0.479910 0.877318i \(-0.340669\pi\)
−0.739444 + 0.673218i \(0.764912\pi\)
\(200\) 1.56234 + 4.51408i 0.110474 + 0.319194i
\(201\) 6.84765 0.653871i 0.482996 0.0461205i
\(202\) −1.69300 0.497110i −0.119119 0.0349766i
\(203\) −19.5624 + 4.29157i −1.37301 + 0.301209i
\(204\) −0.725539 5.04623i −0.0507979 0.353307i
\(205\) −1.59093 + 33.3977i −0.111115 + 2.33260i
\(206\) −14.7549 + 25.5563i −1.02803 + 1.78059i
\(207\) 3.33768 3.44382i 0.231985 0.239362i
\(208\) 8.16511 + 14.1424i 0.566149 + 0.980598i
\(209\) −13.8679 8.91238i −0.959265 0.616482i
\(210\) 8.98756 + 18.4192i 0.620201 + 1.27105i
\(211\) −4.48777 9.82684i −0.308951 0.676508i 0.689927 0.723879i \(-0.257643\pi\)
−0.998877 + 0.0473715i \(0.984916\pi\)
\(212\) −1.48832 6.13493i −0.102218 0.421348i
\(213\) 0.734873 + 1.03198i 0.0503527 + 0.0707104i
\(214\) −3.77328 10.9022i −0.257936 0.745258i
\(215\) −20.6200 + 8.25500i −1.40627 + 0.562986i
\(216\) −0.420554 + 0.123486i −0.0286151 + 0.00840214i
\(217\) 0.407274 18.4744i 0.0276475 1.25413i
\(218\) 26.0683 16.7531i 1.76557 1.13466i
\(219\) 9.70059 + 5.00100i 0.655505 + 0.337936i
\(220\) −23.5946 + 4.54750i −1.59075 + 0.306592i
\(221\) −2.51384 + 10.3622i −0.169099 + 0.697036i
\(222\) 10.0683 4.03075i 0.675743 0.270527i
\(223\) 9.00754 10.3953i 0.603189 0.696117i −0.369235 0.929336i \(-0.620380\pi\)
0.972424 + 0.233219i \(0.0749257\pi\)
\(224\) 18.6458 8.02343i 1.24583 0.536088i
\(225\) −10.4568 3.07039i −0.697120 0.204693i
\(226\) −20.7501 + 29.1395i −1.38028 + 1.93833i
\(227\) 9.06406 + 3.62870i 0.601603 + 0.240845i 0.652414 0.757863i \(-0.273756\pi\)
−0.0508112 + 0.998708i \(0.516181\pi\)
\(228\) 7.65502 3.94644i 0.506966 0.261359i
\(229\) −7.52223 13.0289i −0.497083 0.860973i 0.502911 0.864338i \(-0.332262\pi\)
−0.999994 + 0.00336494i \(0.998929\pi\)
\(230\) −6.73316 36.5350i −0.443971 2.40905i
\(231\) 8.55433 2.75111i 0.562834 0.181010i
\(232\) −2.79117 1.79378i −0.183249 0.117767i
\(233\) 15.9820 12.5684i 1.04702 0.823382i 0.0623883 0.998052i \(-0.480128\pi\)
0.984627 + 0.174670i \(0.0558859\pi\)
\(234\) −7.17729 0.685348i −0.469194 0.0448026i
\(235\) −10.4823 + 9.99488i −0.683792 + 0.651994i
\(236\) −13.0536 + 1.24646i −0.849715 + 0.0811379i
\(237\) −3.24799 + 3.74838i −0.210980 + 0.243484i
\(238\) 13.8463 + 5.13669i 0.897523 + 0.332962i
\(239\) −2.42779 + 0.712865i −0.157041 + 0.0461114i −0.359308 0.933219i \(-0.616987\pi\)
0.202267 + 0.979330i \(0.435169\pi\)
\(240\) −5.73848 + 16.5802i −0.370417 + 1.07025i
\(241\) −0.578919 12.1530i −0.0372914 0.782844i −0.937626 0.347645i \(-0.886981\pi\)
0.900335 0.435198i \(-0.143322\pi\)
\(242\) 0.0494594 + 1.03828i 0.00317937 + 0.0667432i
\(243\) 0.327068 0.945001i 0.0209814 0.0606218i
\(244\) 18.4621 5.42096i 1.18192 0.347042i
\(245\) −27.8837 1.23001i −1.78143 0.0785822i
\(246\) −10.6686 + 12.3122i −0.680204 + 0.784997i
\(247\) −17.9313 + 1.71223i −1.14094 + 0.108947i
\(248\) 2.21558 2.11255i 0.140689 0.134147i
\(249\) −4.45412 0.425316i −0.282268 0.0269533i
\(250\) −35.9148 + 28.2437i −2.27145 + 1.78629i
\(251\) 15.1028 + 9.70600i 0.953283 + 0.612638i 0.922131 0.386877i \(-0.126446\pi\)
0.0311514 + 0.999515i \(0.490083\pi\)
\(252\) −0.989841 + 4.58906i −0.0623541 + 0.289084i
\(253\) −16.2755 + 0.642382i −1.02323 + 0.0403862i
\(254\) −8.03245 13.9126i −0.504001 0.872955i
\(255\) −10.1826 + 5.24948i −0.637657 + 0.328735i
\(256\) 17.6191 + 7.05362i 1.10119 + 0.440851i
\(257\) 2.65991 3.73533i 0.165921 0.233003i −0.723241 0.690595i \(-0.757349\pi\)
0.889162 + 0.457592i \(0.151288\pi\)
\(258\) −10.3839 3.04898i −0.646471 0.189821i
\(259\) −1.72762 + 14.6680i −0.107349 + 0.911427i
\(260\) −17.1942 + 19.8431i −1.06634 + 1.23062i
\(261\) 7.02748 2.81338i 0.434990 0.174144i
\(262\) −3.82207 + 15.7548i −0.236128 + 0.973333i
\(263\) −16.6471 + 3.20848i −1.02651 + 0.197843i −0.674594 0.738189i \(-0.735681\pi\)
−0.351914 + 0.936032i \(0.614469\pi\)
\(264\) 1.32316 + 0.682134i 0.0814346 + 0.0419824i
\(265\) −11.9338 + 7.66940i −0.733089 + 0.471128i
\(266\) −0.549867 + 24.9426i −0.0337145 + 1.52933i
\(267\) −3.79744 + 1.11503i −0.232400 + 0.0682387i
\(268\) 11.3314 4.53639i 0.692173 0.277104i
\(269\) 1.33105 + 3.84582i 0.0811557 + 0.234484i 0.978278 0.207299i \(-0.0664673\pi\)
−0.897122 + 0.441783i \(0.854346\pi\)
\(270\) −4.49333 6.31001i −0.273456 0.384015i
\(271\) −2.50489 10.3253i −0.152161 0.627217i −0.995900 0.0904625i \(-0.971165\pi\)
0.843739 0.536754i \(-0.180350\pi\)
\(272\) 5.25203 + 11.5004i 0.318451 + 0.697311i
\(273\) 5.48919 8.14107i 0.332221 0.492720i
\(274\) 4.21535 + 2.70904i 0.254659 + 0.163659i
\(275\) 18.5070 + 32.0551i 1.11602 + 1.93300i
\(276\) 3.96088 7.53167i 0.238417 0.453353i
\(277\) 0.662874 1.14813i 0.0398282 0.0689845i −0.845424 0.534096i \(-0.820652\pi\)
0.885252 + 0.465111i \(0.153986\pi\)
\(278\) −0.472572 + 9.92051i −0.0283430 + 0.594993i
\(279\) 0.993980 + 6.91328i 0.0595080 + 0.413888i
\(280\) −3.11629 3.41595i −0.186234 0.204142i
\(281\) −6.98789 2.05183i −0.416862 0.122402i 0.0665737 0.997782i \(-0.478793\pi\)
−0.483436 + 0.875380i \(0.660611\pi\)
\(282\) −7.02517 + 0.670822i −0.418342 + 0.0399469i
\(283\) 3.10565 + 8.97318i 0.184612 + 0.533400i 0.998891 0.0470723i \(-0.0149891\pi\)
−0.814280 + 0.580472i \(0.802868\pi\)
\(284\) 1.76703 + 1.38960i 0.104854 + 0.0824578i
\(285\) −14.0065 13.3552i −0.829673 0.791091i
\(286\) 16.0358 + 18.5063i 0.948215 + 1.09430i
\(287\) −7.78983 20.7737i −0.459819 1.22623i
\(288\) −6.45429 + 4.14792i −0.380323 + 0.244419i
\(289\) 2.86018 8.26393i 0.168246 0.486114i
\(290\) 13.8244 56.9849i 0.811796 3.34627i
\(291\) −8.34097 6.55941i −0.488956 0.384519i
\(292\) 19.0154 + 3.66492i 1.11279 + 0.214473i
\(293\) −3.52932 + 7.72813i −0.206185 + 0.451482i −0.984269 0.176678i \(-0.943465\pi\)
0.778084 + 0.628161i \(0.216192\pi\)
\(294\) −10.3090 8.86955i −0.601235 0.517283i
\(295\) 12.2407 + 26.8035i 0.712684 + 1.56056i
\(296\) −1.92330 + 1.51250i −0.111789 + 0.0879121i
\(297\) −3.01878 + 1.55629i −0.175167 + 0.0903049i
\(298\) 1.28203 2.22054i 0.0742659 0.128632i
\(299\) −13.5454 + 11.5452i −0.783351 + 0.667676i
\(300\) −19.3378 −1.11647
\(301\) 10.4031 10.4397i 0.599625 0.601737i
\(302\) −3.89820 27.1126i −0.224316 1.56015i
\(303\) −0.526821 + 0.739816i −0.0302651 + 0.0425013i
\(304\) −15.4575 + 14.7387i −0.886547 + 0.845321i
\(305\) −25.0805 35.2206i −1.43610 2.01672i
\(306\) −5.48106 1.05639i −0.313331 0.0603897i
\(307\) 3.58381 24.9260i 0.204539 1.42260i −0.586061 0.810267i \(-0.699322\pi\)
0.790600 0.612333i \(-0.209769\pi\)
\(308\) 13.1886 8.96015i 0.751490 0.510552i
\(309\) 9.94702 + 11.4795i 0.565866 + 0.653045i
\(310\) 48.0892 + 24.7917i 2.73128 + 1.40807i
\(311\) 0.978801 + 20.5476i 0.0555027 + 1.16515i 0.839136 + 0.543922i \(0.183061\pi\)
−0.783633 + 0.621224i \(0.786636\pi\)
\(312\) 1.59723 0.307841i 0.0904254 0.0174281i
\(313\) −12.2095 11.6417i −0.690120 0.658029i 0.261536 0.965194i \(-0.415771\pi\)
−0.951656 + 0.307165i \(0.900620\pi\)
\(314\) 4.13564 28.7640i 0.233387 1.62325i
\(315\) 10.4725 1.27082i 0.590057 0.0716025i
\(316\) −3.65593 + 8.00537i −0.205662 + 0.450337i
\(317\) 0.154116 + 0.635276i 0.00865603 + 0.0356807i 0.975976 0.217879i \(-0.0699138\pi\)
−0.967320 + 0.253560i \(0.918399\pi\)
\(318\) −6.88066 0.657024i −0.385849 0.0368441i
\(319\) −23.8676 9.55515i −1.33633 0.534986i
\(320\) −1.15821 + 24.3139i −0.0647462 + 1.35919i
\(321\) −5.93824 −0.331440
\(322\) 13.6863 + 20.5027i 0.762710 + 1.14257i
\(323\) −13.9456 −0.775953
\(324\) 0.0844289 1.77238i 0.00469050 0.0984656i
\(325\) 37.5478 + 15.0319i 2.08278 + 0.833819i
\(326\) 11.7852 + 1.12535i 0.652721 + 0.0623273i
\(327\) −3.76037 15.5005i −0.207949 0.857178i
\(328\) 1.52685 3.34334i 0.0843062 0.184605i
\(329\) 3.76770 8.84133i 0.207720 0.487439i
\(330\) −3.74419 + 26.0414i −0.206111 + 1.43353i
\(331\) −18.8699 17.9924i −1.03718 0.988950i −0.0372345 0.999307i \(-0.511855\pi\)
−0.999946 + 0.0103566i \(0.996703\pi\)
\(332\) −7.79582 + 1.50252i −0.427851 + 0.0824615i
\(333\) −0.265617 5.57599i −0.0145557 0.305562i
\(334\) −6.68405 3.44587i −0.365735 0.188550i
\(335\) −17.9612 20.7284i −0.981327 1.13251i
\(336\) −0.850958 11.6110i −0.0464235 0.633432i
\(337\) 3.06172 21.2947i 0.166783 1.16000i −0.718698 0.695322i \(-0.755262\pi\)
0.885481 0.464676i \(-0.153829\pi\)
\(338\) 1.47386 + 0.284063i 0.0801674 + 0.0154510i
\(339\) 10.6806 + 14.9989i 0.580093 + 0.814626i
\(340\) −14.7118 + 14.0276i −0.797857 + 0.760755i
\(341\) 13.7597 19.3227i 0.745127 1.04638i
\(342\) −1.34199 9.33374i −0.0725665 0.504711i
\(343\) 17.3182 6.56361i 0.935093 0.354401i
\(344\) 2.44159 0.131642
\(345\) −18.9048 2.87557i −1.01780 0.154815i
\(346\) 15.1516 26.2433i 0.814553 1.41085i
\(347\) −9.33136 + 4.81065i −0.500934 + 0.258249i −0.690124 0.723691i \(-0.742444\pi\)
0.189190 + 0.981940i \(0.439414\pi\)
\(348\) 10.5580 8.30288i 0.565967 0.445081i
\(349\) 11.2308 + 24.5920i 0.601170 + 1.31638i 0.928452 + 0.371452i \(0.121140\pi\)
−0.327282 + 0.944927i \(0.606133\pi\)
\(350\) 26.7602 49.2132i 1.43039 2.63055i
\(351\) −1.54167 + 3.37578i −0.0822880 + 0.180186i
\(352\) 25.5865 + 4.93140i 1.36377 + 0.262844i
\(353\) 15.0206 + 11.8124i 0.799468 + 0.628709i 0.931995 0.362471i \(-0.118067\pi\)
−0.132527 + 0.991179i \(0.542309\pi\)
\(354\) −3.38487 + 13.9526i −0.179904 + 0.741574i
\(355\) 1.65217 4.77363i 0.0876880 0.253358i
\(356\) −5.90779 + 3.79671i −0.313112 + 0.201225i
\(357\) 4.82961 5.87032i 0.255610 0.310690i
\(358\) −32.2844 37.2581i −1.70628 1.96915i
\(359\) 2.37793 + 2.26735i 0.125502 + 0.119666i 0.750231 0.661175i \(-0.229942\pi\)
−0.624729 + 0.780842i \(0.714791\pi\)
\(360\) 1.37375 + 1.08033i 0.0724028 + 0.0569382i
\(361\) −1.49100 4.30796i −0.0784737 0.226735i
\(362\) 47.9678 4.58037i 2.52113 0.240739i
\(363\) 0.513364 + 0.150737i 0.0269446 + 0.00791165i
\(364\) 5.27568 16.6044i 0.276521 0.870305i
\(365\) −6.19301 43.0733i −0.324157 2.25456i
\(366\) 1.00243 21.0437i 0.0523980 1.09997i
\(367\) −7.14585 + 12.3770i −0.373010 + 0.646072i −0.990027 0.140877i \(-0.955008\pi\)
0.617017 + 0.786950i \(0.288341\pi\)
\(368\) −4.16258 + 20.6886i −0.216989 + 1.07847i
\(369\) 4.19280 + 7.26215i 0.218269 + 0.378052i
\(370\) −36.3780 23.3787i −1.89120 1.21540i
\(371\) 5.26233 7.80461i 0.273207 0.405195i
\(372\) 5.14824 + 11.2731i 0.266924 + 0.584482i
\(373\) 1.79756 + 7.40964i 0.0930741 + 0.383657i 0.999228 0.0392920i \(-0.0125102\pi\)
−0.906154 + 0.422949i \(0.860995\pi\)
\(374\) 10.9968 + 15.4428i 0.568629 + 0.798528i
\(375\) 7.69195 + 22.2244i 0.397211 + 1.14766i
\(376\) 1.47810 0.591742i 0.0762272 0.0305168i
\(377\) −26.9544 + 7.91451i −1.38822 + 0.407618i
\(378\) 4.39374 + 2.66754i 0.225990 + 0.137204i
\(379\) −13.8587 + 8.90647i −0.711876 + 0.457495i −0.845802 0.533497i \(-0.820878\pi\)
0.133927 + 0.990991i \(0.457241\pi\)
\(380\) −30.5226 15.7355i −1.56577 0.807213i
\(381\) −8.11960 + 1.56492i −0.415979 + 0.0801735i
\(382\) −1.84257 + 7.59519i −0.0942742 + 0.388604i
\(383\) 14.1918 5.68152i 0.725165 0.290312i 0.0204381 0.999791i \(-0.493494\pi\)
0.704727 + 0.709479i \(0.251070\pi\)
\(384\) 2.28164 2.63315i 0.116434 0.134372i
\(385\) −28.7202 21.4210i −1.46372 1.09171i
\(386\) −9.14204 2.68435i −0.465318 0.136630i
\(387\) −3.23120 + 4.53759i −0.164251 + 0.230659i
\(388\) −17.4797 6.99781i −0.887397 0.355260i
\(389\) 24.4554 12.6076i 1.23994 0.639232i 0.291614 0.956536i \(-0.405808\pi\)
0.948324 + 0.317304i \(0.102778\pi\)
\(390\) 14.3739 + 24.8964i 0.727853 + 1.26068i
\(391\) −11.2890 + 7.90099i −0.570910 + 0.399570i
\(392\) 2.79536 + 1.26474i 0.141187 + 0.0638789i
\(393\) 7.01994 + 4.51144i 0.354109 + 0.227572i
\(394\) 41.0631 32.2924i 2.06873 1.62687i
\(395\) 19.6866 + 1.87984i 0.990539 + 0.0945850i
\(396\) −4.36152 + 4.15870i −0.219175 + 0.208983i
\(397\) 0.563666 0.0538236i 0.0282896 0.00270133i −0.0809017 0.996722i \(-0.525780\pi\)
0.109191 + 0.994021i \(0.465174\pi\)
\(398\) −5.92572 + 6.83865i −0.297030 + 0.342790i
\(399\) 12.0400 + 4.46657i 0.602752 + 0.223608i
\(400\) 46.0133 13.5107i 2.30066 0.675535i
\(401\) −6.27209 + 18.1220i −0.313213 + 0.904970i 0.673022 + 0.739622i \(0.264996\pi\)
−0.986235 + 0.165348i \(0.947125\pi\)
\(402\) −0.635884 13.3488i −0.0317150 0.665780i
\(403\) −1.23332 25.8907i −0.0614363 1.28971i
\(404\) −0.527084 + 1.52291i −0.0262234 + 0.0757675i
\(405\) −3.82575 + 1.12334i −0.190103 + 0.0558193i
\(406\) 6.51976 + 38.3590i 0.323570 + 1.90373i
\(407\) −12.4157 + 14.3285i −0.615426 + 0.710239i
\(408\) 1.25363 0.119707i 0.0620640 0.00592640i
\(409\) −28.2689 + 26.9543i −1.39781 + 1.33280i −0.519691 + 0.854354i \(0.673953\pi\)
−0.878115 + 0.478450i \(0.841199\pi\)
\(410\) 64.6638 + 6.17465i 3.19352 + 0.304944i
\(411\) 2.02738 1.59435i 0.100003 0.0786435i
\(412\) 22.6736 + 14.5714i 1.11705 + 0.717883i
\(413\) −14.4909 13.1267i −0.713052 0.645921i
\(414\) −6.37445 6.79539i −0.313287 0.333975i
\(415\) 8.92025 + 15.4503i 0.437878 + 0.758427i
\(416\) 25.3076 13.0470i 1.24081 0.639680i
\(417\) 4.74595 + 1.89999i 0.232410 + 0.0930429i
\(418\) −18.5771 + 26.0880i −0.908638 + 1.27600i
\(419\) 25.0372 + 7.35159i 1.22315 + 0.359149i 0.828660 0.559753i \(-0.189104\pi\)
0.394488 + 0.918901i \(0.370922\pi\)
\(420\) 17.1943 7.39882i 0.838995 0.361025i
\(421\) −12.7706 + 14.7381i −0.622403 + 0.718291i −0.976161 0.217046i \(-0.930358\pi\)
0.353759 + 0.935337i \(0.384903\pi\)
\(422\) −19.4846 + 7.80046i −0.948496 + 0.379721i
\(423\) −0.856391 + 3.53009i −0.0416392 + 0.171639i
\(424\) 1.53122 0.295119i 0.0743626 0.0143322i
\(425\) 27.8317 + 14.3482i 1.35004 + 0.695992i
\(426\) 2.07058 1.33068i 0.100320 0.0644717i
\(427\) 24.5246 + 14.8894i 1.18683 + 0.720550i
\(428\) −10.1100 + 2.96855i −0.488683 + 0.143490i
\(429\) 11.7014 4.68453i 0.564949 0.226171i
\(430\) 14.1133 + 40.7778i 0.680606 + 1.96648i
\(431\) 2.86531 + 4.02376i 0.138017 + 0.193818i 0.877799 0.479028i \(-0.159011\pi\)
−0.739782 + 0.672846i \(0.765072\pi\)
\(432\) 1.03741 + 4.27628i 0.0499126 + 0.205743i
\(433\) 1.33652 + 2.92657i 0.0642290 + 0.140642i 0.939024 0.343851i \(-0.111731\pi\)
−0.874795 + 0.484493i \(0.839004\pi\)
\(434\) −35.8134 2.49814i −1.71910 0.119915i
\(435\) −25.3911 16.3178i −1.21741 0.782381i
\(436\) −14.1508 24.5100i −0.677702 1.17381i
\(437\) −18.8507 13.6565i −0.901753 0.653278i
\(438\) 10.6016 18.3625i 0.506563 0.877392i
\(439\) −0.634343 + 13.3165i −0.0302755 + 0.635562i 0.931832 + 0.362891i \(0.118210\pi\)
−0.962107 + 0.272671i \(0.912093\pi\)
\(440\) −0.844723 5.87518i −0.0402706 0.280088i
\(441\) −6.04983 + 3.52130i −0.288087 + 0.167681i
\(442\) 19.8762 + 5.83619i 0.945417 + 0.277599i
\(443\) 4.24136 0.405001i 0.201513 0.0192422i 0.00618868 0.999981i \(-0.498030\pi\)
0.195324 + 0.980739i \(0.437424\pi\)
\(444\) −3.23968 9.36043i −0.153748 0.444226i
\(445\) 12.4044 + 9.75493i 0.588025 + 0.462428i
\(446\) −19.3401 18.4408i −0.915782 0.873196i
\(447\) −0.864277 0.997429i −0.0408789 0.0471768i
\(448\) −5.67108 15.1235i −0.267933 0.714518i
\(449\) 26.7750 17.2072i 1.26359 0.812059i 0.274817 0.961496i \(-0.411383\pi\)
0.988771 + 0.149437i \(0.0477462\pi\)
\(450\) −6.92498 + 20.0084i −0.326447 + 0.943206i
\(451\) 6.71447 27.6774i 0.316172 1.30328i
\(452\) 25.6819 + 20.1965i 1.20798 + 0.949964i
\(453\) −13.8443 2.66826i −0.650461 0.125366i
\(454\) 7.87967 17.2541i 0.369811 0.809774i
\(455\) −39.1372 + 1.00049i −1.83478 + 0.0469039i
\(456\) 0.883767 + 1.93518i 0.0413862 + 0.0906231i
\(457\) 26.3547 20.7256i 1.23282 0.969503i 0.232828 0.972518i \(-0.425202\pi\)
0.999995 + 0.00301528i \(0.000959793\pi\)
\(458\) −25.9789 + 13.3931i −1.21392 + 0.625817i
\(459\) −1.43658 + 2.48824i −0.0670540 + 0.116141i
\(460\) −33.6232 + 4.55487i −1.56769 + 0.212372i
\(461\) −27.1719 −1.26552 −0.632762 0.774347i \(-0.718079\pi\)
−0.632762 + 0.774347i \(0.718079\pi\)
\(462\) −4.54797 16.8547i −0.211591 0.784150i
\(463\) −5.01108 34.8528i −0.232885 1.61975i −0.685521 0.728052i \(-0.740426\pi\)
0.452637 0.891695i \(-0.350483\pi\)
\(464\) −19.3212 + 27.1328i −0.896964 + 1.25961i
\(465\) 20.1549 19.2177i 0.934663 0.891199i
\(466\) −22.9125 32.1762i −1.06140 1.49053i
\(467\) 3.59120 + 0.692147i 0.166181 + 0.0320288i 0.271663 0.962392i \(-0.412426\pi\)
−0.105482 + 0.994421i \(0.533639\pi\)
\(468\) −0.937146 + 6.51800i −0.0433196 + 0.301294i
\(469\) 16.3843 + 7.92342i 0.756556 + 0.365869i
\(470\) 18.4269 + 21.2657i 0.849967 + 0.980915i
\(471\) −13.2951 6.85408i −0.612604 0.315819i
\(472\) −0.154125 3.23548i −0.00709417 0.148925i
\(473\) 18.5773 3.58048i 0.854186 0.164631i
\(474\) 6.97379 + 6.64949i 0.320317 + 0.305421i
\(475\) −7.52805 + 52.3588i −0.345411 + 2.40238i
\(476\) 5.28789 12.4086i 0.242370 0.568749i
\(477\) −1.47795 + 3.23626i −0.0676707 + 0.148178i
\(478\) 1.15894 + 4.77722i 0.0530088 + 0.218505i
\(479\) 6.39137 + 0.610301i 0.292029 + 0.0278854i 0.240042 0.970762i \(-0.422839\pi\)
0.0519866 + 0.998648i \(0.483445\pi\)
\(480\) 28.3999 + 11.3696i 1.29627 + 0.518949i
\(481\) −0.985744 + 20.6933i −0.0449461 + 0.943534i
\(482\) −23.6374 −1.07665
\(483\) 12.2770 3.20563i 0.558621 0.145861i
\(484\) 0.949364 0.0431529
\(485\) −2.01317 + 42.2617i −0.0914135 + 1.91901i
\(486\) −1.80361 0.722058i −0.0818136 0.0327532i
\(487\) 12.6260 + 1.20564i 0.572140 + 0.0546328i 0.377117 0.926166i \(-0.376916\pi\)
0.195024 + 0.980799i \(0.437522\pi\)
\(488\) 1.12057 + 4.61904i 0.0507257 + 0.209094i
\(489\) 2.53143 5.54306i 0.114475 0.250666i
\(490\) −4.96453 + 53.9968i −0.224274 + 2.43933i
\(491\) 5.63005 39.1579i 0.254081 1.76717i −0.319081 0.947727i \(-0.603374\pi\)
0.573162 0.819442i \(-0.305717\pi\)
\(492\) 10.7687 + 10.2679i 0.485490 + 0.462914i
\(493\) −21.3560 + 4.11604i −0.961827 + 0.185377i
\(494\) 1.66513 + 34.9554i 0.0749179 + 1.57272i
\(495\) 12.0366 + 6.20532i 0.541007 + 0.278909i
\(496\) −20.1261 23.2268i −0.903691 1.04291i
\(497\) 0.245000 + 3.34293i 0.0109897 + 0.149951i
\(498\) −1.23710 + 8.60424i −0.0554359 + 0.385565i
\(499\) −0.469926 0.0905709i −0.0210368 0.00405451i 0.178722 0.983900i \(-0.442804\pi\)
−0.199759 + 0.979845i \(0.564016\pi\)
\(500\) 24.2057 + 33.9922i 1.08251 + 1.52018i
\(501\) −2.80139 + 2.67112i −0.125157 + 0.119337i
\(502\) 20.2314 28.4110i 0.902971 1.26805i
\(503\) 1.98898 + 13.8337i 0.0886843 + 0.616813i 0.984891 + 0.173176i \(0.0554029\pi\)
−0.896207 + 0.443637i \(0.853688\pi\)
\(504\) −1.12067 0.298171i −0.0499185 0.0132816i
\(505\) 3.62132 0.161147
\(506\) −0.257936 + 31.6433i −0.0114667 + 1.40672i
\(507\) 0.386298 0.669088i 0.0171561 0.0297152i
\(508\) −13.0414 + 6.72332i −0.578620 + 0.298299i
\(509\) −23.2593 + 18.2913i −1.03095 + 0.810749i −0.982158 0.188060i \(-0.939780\pi\)
−0.0487940 + 0.998809i \(0.515538\pi\)
\(510\) 9.24574 + 20.2453i 0.409408 + 0.896479i
\(511\) 15.0720 + 24.6296i 0.666745 + 1.08955i
\(512\) 12.4221 27.2006i 0.548984 1.20211i
\(513\) −4.76602 0.918574i −0.210425 0.0405560i
\(514\) −7.00281 5.50707i −0.308881 0.242906i
\(515\) 14.2786 58.8574i 0.629192 2.59357i
\(516\) −3.23282 + 9.34061i −0.142317 + 0.411197i
\(517\) 10.3786 6.66995i 0.456452 0.293344i
\(518\) 28.3048 + 4.70852i 1.24364 + 0.206880i
\(519\) −10.2144 11.7881i −0.448363 0.517438i
\(520\) −4.69398 4.47570i −0.205845 0.196273i
\(521\) −21.1867 16.6614i −0.928206 0.729949i 0.0348102 0.999394i \(-0.488917\pi\)
−0.963016 + 0.269445i \(0.913160\pi\)
\(522\) −4.80995 13.8974i −0.210526 0.608275i
\(523\) −31.7092 + 3.02787i −1.38655 + 0.132399i −0.761489 0.648178i \(-0.775531\pi\)
−0.625059 + 0.780577i \(0.714925\pi\)
\(524\) 14.2068 + 4.17151i 0.620629 + 0.182233i
\(525\) −19.4330 21.3017i −0.848127 0.929681i
\(526\) 4.68742 + 32.6017i 0.204381 + 1.42150i
\(527\) 0.954840 20.0446i 0.0415935 0.873155i
\(528\) 7.47246 12.9427i 0.325197 0.563258i
\(529\) −22.9969 0.374937i −0.999867 0.0163016i
\(530\) 13.7799 + 23.8675i 0.598561 + 1.03674i
\(531\) 6.21696 + 3.99539i 0.269793 + 0.173385i
\(532\) 22.7311 + 1.58559i 0.985517 + 0.0687441i
\(533\) −12.9278 28.3079i −0.559965 1.22615i
\(534\) 1.81276 + 7.47231i 0.0784459 + 0.323358i
\(535\) 13.7342 + 19.2870i 0.593781 + 0.833849i
\(536\) 0.986122 + 2.84921i 0.0425940 + 0.123067i
\(537\) −23.5581 + 9.43123i −1.01661 + 0.406988i
\(538\) 7.58616 2.22750i 0.327063 0.0960343i
\(539\) 23.1237 + 5.52372i 0.996008 + 0.237923i
\(540\) −5.95184 + 3.82501i −0.256126 + 0.164602i
\(541\) 2.77012 + 1.42809i 0.119097 + 0.0613986i 0.516745 0.856139i \(-0.327143\pi\)
−0.397649 + 0.917538i \(0.630174\pi\)
\(542\) −20.2686 + 3.90645i −0.870610 + 0.167796i
\(543\) 5.84743 24.1034i 0.250937 1.03438i
\(544\) 20.4646 8.19279i 0.877412 0.351263i
\(545\) −41.6472 + 48.0635i −1.78397 + 2.05881i
\(546\) −15.2910 11.4048i −0.654393 0.488079i
\(547\) 43.8152 + 12.8653i 1.87340 + 0.550081i 0.997742 + 0.0671567i \(0.0213928\pi\)
0.875662 + 0.482924i \(0.160425\pi\)
\(548\) 2.65463 3.72790i 0.113400 0.159248i
\(549\) −10.0672 4.03031i −0.429659 0.172010i
\(550\) 63.9163 32.9511i 2.72540 1.40504i
\(551\) −18.3707 31.8189i −0.782617 1.35553i
\(552\) 1.81180 + 1.06583i 0.0771155 + 0.0453648i
\(553\) −12.4923 + 4.01758i −0.531227 + 0.170845i
\(554\) −2.16676 1.39249i −0.0920569 0.0591614i
\(555\) −17.4961 + 13.7591i −0.742667 + 0.584040i
\(556\) 9.02986 + 0.862247i 0.382951 + 0.0365674i
\(557\) −7.96638 + 7.59593i −0.337547 + 0.321850i −0.839826 0.542855i \(-0.817343\pi\)
0.502280 + 0.864705i \(0.332495\pi\)
\(558\) 13.5077 1.28982i 0.571825 0.0546026i
\(559\) 13.5379 15.6235i 0.572591 0.660805i
\(560\) −35.7436 + 29.6182i −1.51044 + 1.25160i
\(561\) 9.36295 2.74921i 0.395304 0.116072i
\(562\) −4.62770 + 13.3709i −0.195208 + 0.564016i
\(563\) −0.365464 7.67204i −0.0154025 0.323338i −0.993399 0.114714i \(-0.963405\pi\)
0.977996 0.208623i \(-0.0668983\pi\)
\(564\) 0.306687 + 6.43815i 0.0129139 + 0.271095i
\(565\) 24.0126 69.3799i 1.01022 2.91883i
\(566\) 17.7002 5.19726i 0.743997 0.218457i
\(567\) 2.03723 1.68811i 0.0855555 0.0708939i
\(568\) −0.363639 + 0.419662i −0.0152580 + 0.0176086i
\(569\) 4.26851 0.407593i 0.178945 0.0170872i −0.00519869 0.999986i \(-0.501655\pi\)
0.184144 + 0.982899i \(0.441049\pi\)
\(570\) −27.2115 + 25.9461i −1.13976 + 1.08676i
\(571\) −2.92643 0.279440i −0.122467 0.0116942i 0.0336424 0.999434i \(-0.489289\pi\)
−0.156110 + 0.987740i \(0.549895\pi\)
\(572\) 17.5800 13.8251i 0.735056 0.578055i
\(573\) 3.38423 + 2.17491i 0.141378 + 0.0908583i
\(574\) −41.0331 + 13.1964i −1.71269 + 0.550808i
\(575\) 23.5703 + 46.6497i 0.982949 + 1.94543i
\(576\) 3.05241 + 5.28692i 0.127184 + 0.220288i
\(577\) −15.0781 + 7.77330i −0.627709 + 0.323607i −0.742563 0.669776i \(-0.766390\pi\)
0.114854 + 0.993382i \(0.463360\pi\)
\(578\) −15.7724 6.31432i −0.656046 0.262641i
\(579\) −2.84478 + 3.99493i −0.118225 + 0.166024i
\(580\) −51.3860 15.0883i −2.13369 0.626508i
\(581\) −9.48933 7.07763i −0.393684 0.293629i
\(582\) −13.5001 + 15.5799i −0.559597 + 0.645809i
\(583\) 11.2178 4.49093i 0.464594 0.185995i
\(584\) −1.12778 + 4.64878i −0.0466679 + 0.192368i
\(585\) 14.5299 2.80041i 0.600737 0.115783i
\(586\) 14.6708 + 7.56332i 0.606045 + 0.312438i
\(587\) 21.6261 13.8982i 0.892603 0.573641i −0.0119848 0.999928i \(-0.503815\pi\)
0.904588 + 0.426287i \(0.140179\pi\)
\(588\) −8.53963 + 9.01940i −0.352168 + 0.371954i
\(589\) 32.5271 9.55081i 1.34025 0.393534i
\(590\) 53.1458 21.2764i 2.18798 0.875935i
\(591\) −8.79456 25.4102i −0.361760 1.04524i
\(592\) 14.2485 + 20.0092i 0.585610 + 0.822374i
\(593\) 3.49435 + 14.4039i 0.143496 + 0.591497i 0.997464 + 0.0711724i \(0.0226740\pi\)
−0.853968 + 0.520325i \(0.825811\pi\)
\(594\) 2.74104 + 6.00204i 0.112466 + 0.246267i
\(595\) −30.2365 2.10913i −1.23957 0.0864657i
\(596\) −1.97006 1.26608i −0.0806970 0.0518608i
\(597\) 2.32884 + 4.03366i 0.0953129 + 0.165087i
\(598\) 21.1522 + 27.3532i 0.864979 + 1.11855i
\(599\) −7.54118 + 13.0617i −0.308124 + 0.533687i −0.977952 0.208830i \(-0.933035\pi\)
0.669828 + 0.742517i \(0.266368\pi\)
\(600\) 0.227289 4.77139i 0.00927904 0.194791i
\(601\) 0.530322 + 3.68847i 0.0216323 + 0.150456i 0.997775 0.0666753i \(-0.0212392\pi\)
−0.976142 + 0.217131i \(0.930330\pi\)
\(602\) −19.2975 21.1531i −0.786506 0.862136i
\(603\) −6.60016 1.93798i −0.268779 0.0789207i
\(604\) −24.9040 + 2.37804i −1.01333 + 0.0967611i
\(605\) −0.697744 2.01600i −0.0283673 0.0819620i
\(606\) 1.38697 + 1.09073i 0.0563419 + 0.0443077i
\(607\) 24.3766 + 23.2431i 0.989416 + 0.943407i 0.998400 0.0565531i \(-0.0180110\pi\)
−0.00898325 + 0.999960i \(0.502859\pi\)
\(608\) 24.3863 + 28.1433i 0.988995 + 1.14136i
\(609\) 19.7561 + 3.28644i 0.800557 + 0.133173i
\(610\) −70.6668 + 45.4148i −2.86121 + 1.83879i
\(611\) 4.40910 12.7393i 0.178373 0.515375i
\(612\) −1.20193 + 4.95442i −0.0485851 + 0.200270i
\(613\) −5.00972 3.93969i −0.202341 0.159122i 0.511847 0.859076i \(-0.328961\pi\)
−0.714188 + 0.699954i \(0.753204\pi\)
\(614\) −48.0395 9.25885i −1.93872 0.373657i
\(615\) 13.8896 30.4141i 0.560085 1.22641i
\(616\) 2.05581 + 3.35946i 0.0828309 + 0.135357i
\(617\) 5.78666 + 12.6710i 0.232962 + 0.510116i 0.989622 0.143692i \(-0.0458975\pi\)
−0.756660 + 0.653808i \(0.773170\pi\)
\(618\) 23.1963 18.2418i 0.933094 0.733793i
\(619\) 6.07621 3.13250i 0.244223 0.125906i −0.331770 0.943360i \(-0.607646\pi\)
0.575993 + 0.817454i \(0.304615\pi\)
\(620\) 24.7071 42.7939i 0.992261 1.71865i
\(621\) −4.37854 + 1.95664i −0.175705 + 0.0785171i
\(622\) 39.9646 1.60244
\(623\) −10.1192 2.69237i −0.405417 0.107867i
\(624\) −2.32403 16.1640i −0.0930358 0.647078i
\(625\) 22.7850 31.9971i 0.911402 1.27988i
\(626\) −23.7203 + 22.6173i −0.948055 + 0.903968i
\(627\) 9.56215 + 13.4282i 0.381876 + 0.536269i
\(628\) −26.0614 5.02293i −1.03996 0.200437i
\(629\) −2.28258 + 15.8757i −0.0910124 + 0.633005i
\(630\) −1.49804 20.4401i −0.0596832 0.814355i
\(631\) −25.2683 29.1612i −1.00592 1.16089i −0.986943 0.161070i \(-0.948506\pi\)
−0.0189738 0.999820i \(-0.506040\pi\)
\(632\) −1.93227 0.996153i −0.0768615 0.0396249i
\(633\) 0.514032 + 10.7909i 0.0204309 + 0.428898i
\(634\) 1.24705 0.240349i 0.0495267 0.00954548i
\(635\) 23.8621 + 22.7524i 0.946938 + 0.902903i
\(636\) −0.898416 + 6.24862i −0.0356245 + 0.247774i
\(637\) 23.5923 10.8747i 0.934762 0.430871i
\(638\) −20.7489 + 45.4337i −0.821456 + 1.79874i
\(639\) −0.298682 1.23119i −0.0118157 0.0487050i
\(640\) −13.8293 1.32054i −0.546653 0.0521990i
\(641\) −2.49457 0.998676i −0.0985297 0.0394453i 0.321874 0.946783i \(-0.395687\pi\)
−0.420404 + 0.907337i \(0.638112\pi\)
\(642\) −0.548938 + 11.5236i −0.0216649 + 0.454801i
\(643\) 23.7405 0.936235 0.468117 0.883666i \(-0.344932\pi\)
0.468117 + 0.883666i \(0.344932\pi\)
\(644\) 19.2992 11.5949i 0.760496 0.456904i
\(645\) 22.2110 0.874558
\(646\) −1.28915 + 27.0625i −0.0507208 + 1.06476i
\(647\) −10.9627 4.38882i −0.430990 0.172542i 0.146016 0.989282i \(-0.453355\pi\)
−0.577006 + 0.816740i \(0.695779\pi\)
\(648\) 0.436324 + 0.0416639i 0.0171404 + 0.00163671i
\(649\) −5.91737 24.3917i −0.232277 0.957459i
\(650\) 32.6415 71.4750i 1.28031 2.80348i
\(651\) −7.24435 + 16.9997i −0.283929 + 0.666271i
\(652\) 1.53880 10.7026i 0.0602642 0.419147i
\(653\) 11.3827 + 10.8534i 0.445440 + 0.424726i 0.879310 0.476249i \(-0.158004\pi\)
−0.433870 + 0.900975i \(0.642852\pi\)
\(654\) −30.4275 + 5.86442i −1.18981 + 0.229317i
\(655\) −1.58315 33.2345i −0.0618589 1.29858i
\(656\) −32.7974 16.9082i −1.28052 0.660156i
\(657\) −7.14703 8.24811i −0.278832 0.321790i
\(658\) −16.8090 8.12882i −0.655284 0.316894i
\(659\) 4.88905 34.0041i 0.190450 1.32461i −0.640369 0.768068i \(-0.721218\pi\)
0.830819 0.556543i \(-0.187872\pi\)
\(660\) 23.5946 + 4.54750i 0.918420 + 0.177011i
\(661\) 10.8934 + 15.2976i 0.423704 + 0.595008i 0.970156 0.242482i \(-0.0779615\pi\)
−0.546452 + 0.837490i \(0.684022\pi\)
\(662\) −36.6600 + 34.9552i −1.42483 + 1.35857i
\(663\) 6.18500 8.68562i 0.240206 0.337321i
\(664\) −0.279102 1.94120i −0.0108312 0.0753330i
\(665\) −13.3394 49.4354i −0.517279 1.91702i
\(666\) −10.8452 −0.420243
\(667\) −32.8984 15.3495i −1.27383 0.594335i
\(668\) −3.43411 + 5.94806i −0.132870 + 0.230137i
\(669\) −12.2258 + 6.30285i −0.472678 + 0.243682i
\(670\) −41.8854 + 32.9390i −1.61817 + 1.27255i
\(671\) 15.2997 + 33.5016i 0.590637 + 1.29331i
\(672\) −20.2922 + 0.518745i −0.782788 + 0.0200110i
\(673\) −8.88002 + 19.4445i −0.342300 + 0.749531i −0.999993 0.00375431i \(-0.998805\pi\)
0.657693 + 0.753286i \(0.271532\pi\)
\(674\) −41.0411 7.91002i −1.58084 0.304683i
\(675\) 8.56661 + 6.73685i 0.329729 + 0.259302i
\(676\) 0.323199 1.33224i 0.0124307 0.0512402i
\(677\) −2.25099 + 6.50381i −0.0865126 + 0.249962i −0.979956 0.199214i \(-0.936161\pi\)
0.893443 + 0.449176i \(0.148282\pi\)
\(678\) 30.0938 19.3401i 1.15575 0.742752i
\(679\) −9.85730 26.2872i −0.378288 1.00881i
\(680\) −3.28825 3.79484i −0.126099 0.145526i
\(681\) −7.06613 6.73754i −0.270775 0.258183i
\(682\) −36.2253 28.4879i −1.38714 1.09086i
\(683\) 13.7379 + 39.6930i 0.525665 + 1.51881i 0.825266 + 0.564744i \(0.191025\pi\)
−0.299601 + 0.954065i \(0.596854\pi\)
\(684\) −8.57342 + 0.818662i −0.327813 + 0.0313023i
\(685\) −9.86734 2.89731i −0.377012 0.110701i
\(686\) −11.1363 34.2140i −0.425185 1.30630i
\(687\) 2.14105 + 14.8913i 0.0816862 + 0.568140i
\(688\) 1.16633 24.4842i 0.0444657 0.933451i
\(689\) 6.60170 11.4345i 0.251505 0.435619i
\(690\) −7.32785 + 36.4204i −0.278966 + 1.38650i
\(691\) −14.6978 25.4573i −0.559130 0.968442i −0.997569 0.0696812i \(-0.977802\pi\)
0.438439 0.898761i \(-0.355532\pi\)
\(692\) −23.2831 14.9631i −0.885090 0.568813i
\(693\) −8.96405 0.625282i −0.340516 0.0237525i
\(694\) 8.47284 + 18.5529i 0.321625 + 0.704260i
\(695\) −4.80558 19.8089i −0.182286 0.751393i
\(696\) 1.92455 + 2.70266i 0.0729500 + 0.102444i
\(697\) −7.88013 22.7682i −0.298481 0.862405i
\(698\) 48.7609 19.5209i 1.84563 0.738877i
\(699\) −19.5084 + 5.72817i −0.737874 + 0.216659i
\(700\) −43.7338 26.5518i −1.65298 1.00356i
\(701\) −7.83550 + 5.03557i −0.295943 + 0.190191i −0.680183 0.733042i \(-0.738100\pi\)
0.384240 + 0.923233i \(0.374463\pi\)
\(702\) 6.40845 + 3.30378i 0.241871 + 0.124693i
\(703\) −26.6054 + 5.12777i −1.00344 + 0.193397i
\(704\) 4.88821 20.1495i 0.184231 0.759412i
\(705\) 13.4462 5.38304i 0.506412 0.202737i
\(706\) 24.3113 28.0568i 0.914969 1.05593i
\(707\) −2.20725 + 0.949797i −0.0830123 + 0.0357208i
\(708\) 12.5818 + 3.69434i 0.472852 + 0.138842i
\(709\) 0.624644 0.877189i 0.0234590 0.0329435i −0.802680 0.596410i \(-0.796593\pi\)
0.826139 + 0.563467i \(0.190533\pi\)
\(710\) −9.11087 3.64744i −0.341925 0.136886i
\(711\) 4.40847 2.27272i 0.165330 0.0852337i
\(712\) −0.867359 1.50231i −0.0325057 0.0563015i
\(713\) 20.9197 26.1599i 0.783449 0.979696i
\(714\) −10.9454 9.91490i −0.409620 0.371056i
\(715\) −42.2784 27.1707i −1.58112 1.01613i
\(716\) −35.3933 + 27.8336i −1.32271 + 1.04019i
\(717\) 2.51883 + 0.240519i 0.0940675 + 0.00898236i
\(718\) 4.61980 4.40497i 0.172409 0.164392i
\(719\) 19.6536 1.87669i 0.732957 0.0699889i 0.278098 0.960553i \(-0.410296\pi\)
0.454859 + 0.890564i \(0.349690\pi\)
\(720\) 11.4897 13.2598i 0.428195 0.494163i
\(721\) 6.73400 + 39.6195i 0.250787 + 1.47551i
\(722\) −8.49776 + 2.49517i −0.316254 + 0.0928606i
\(723\) −3.97937 + 11.4976i −0.147994 + 0.427601i
\(724\) −2.09406 43.9596i −0.0778250 1.63375i
\(725\) 3.92535 + 82.4032i 0.145784 + 3.06038i
\(726\) 0.339973 0.982288i 0.0126176 0.0364561i
\(727\) −10.4257 + 3.06127i −0.386669 + 0.113536i −0.469289 0.883045i \(-0.655490\pi\)
0.0826195 + 0.996581i \(0.473671\pi\)
\(728\) 4.03494 + 1.49688i 0.149545 + 0.0554780i
\(729\) −0.654861 + 0.755750i −0.0242541 + 0.0279907i
\(730\) −84.1597 + 8.03627i −3.11489 + 0.297436i
\(731\) 11.5833 11.0447i 0.428425 0.408503i
\(732\) −19.1544 1.82902i −0.707967 0.0676027i
\(733\) −25.2349 + 19.8450i −0.932073 + 0.732990i −0.963834 0.266505i \(-0.914131\pi\)
0.0317604 + 0.999496i \(0.489889\pi\)
\(734\) 23.3579 + 15.0112i 0.862156 + 0.554074i
\(735\) 25.4292 + 11.5052i 0.937970 + 0.424377i
\(736\) 35.6856 + 8.96586i 1.31539 + 0.330486i
\(737\) 11.6813 + 20.2326i 0.430287 + 0.745279i
\(738\) 14.4804 7.46514i 0.533029 0.274796i
\(739\) 2.41337 + 0.966167i 0.0887772 + 0.0355410i 0.415626 0.909536i \(-0.363563\pi\)
−0.326849 + 0.945077i \(0.605987\pi\)
\(740\) −22.9091 + 32.1714i −0.842157 + 1.18264i
\(741\) 17.2832 + 5.07482i 0.634916 + 0.186428i
\(742\) −14.6590 10.9334i −0.538149 0.401379i
\(743\) 3.78472 4.36780i 0.138848 0.160239i −0.682067 0.731290i \(-0.738919\pi\)
0.820915 + 0.571051i \(0.193464\pi\)
\(744\) −2.84202 + 1.13777i −0.104194 + 0.0417128i
\(745\) −1.24064 + 5.11400i −0.0454537 + 0.187363i
\(746\) 14.5452 2.80335i 0.532536 0.102638i
\(747\) 3.97698 + 2.05028i 0.145510 + 0.0750157i
\(748\) 14.5662 9.36114i 0.532594 0.342277i
\(749\) −13.4298 8.15353i −0.490714 0.297924i
\(750\) 43.8393 12.8724i 1.60078 0.470033i
\(751\) 1.45678 0.583205i 0.0531585 0.0212815i −0.344931 0.938628i \(-0.612098\pi\)
0.398089 + 0.917347i \(0.369673\pi\)
\(752\) −5.22789 15.1050i −0.190641 0.550822i
\(753\) −10.4136 14.6239i −0.379494 0.532925i
\(754\) 12.8670 + 53.0387i 0.468590 + 1.93156i
\(755\) 23.3532 + 51.1365i 0.849911 + 1.86105i
\(756\) 2.62452 3.89245i 0.0954528 0.141567i
\(757\) −23.8276 15.3130i −0.866027 0.556562i 0.0305079 0.999535i \(-0.490288\pi\)
−0.896535 + 0.442973i \(0.853924\pi\)
\(758\) 16.0026 + 27.7173i 0.581240 + 1.00674i
\(759\) 15.3484 + 5.45264i 0.557113 + 0.197918i
\(760\) 4.24131 7.34617i 0.153849 0.266473i
\(761\) 0.910772 19.1195i 0.0330155 0.693080i −0.920320 0.391167i \(-0.872072\pi\)
0.953335 0.301913i \(-0.0976254\pi\)
\(762\) 2.28627 + 15.9014i 0.0828229 + 0.576046i
\(763\) 12.7786 40.2187i 0.462617 1.45601i
\(764\) 6.84895 + 2.01103i 0.247786 + 0.0727566i
\(765\) 11.4042 1.08897i 0.412320 0.0393718i
\(766\) −9.71354 28.0654i −0.350964 1.01404i
\(767\) −21.5581 16.9535i −0.778418 0.612155i
\(768\) −13.7354 13.0967i −0.495635 0.472587i
\(769\) 12.1968 + 14.0759i 0.439828 + 0.507589i 0.931775 0.363036i \(-0.118260\pi\)
−0.491947 + 0.870625i \(0.663714\pi\)
\(770\) −44.2240 + 53.7536i −1.59372 + 1.93715i
\(771\) −3.85766 + 2.47917i