Properties

Label 770.2.w.b.139.2
Level $770$
Weight $2$
Character 770.139
Analytic conductor $6.148$
Analytic rank $0$
Dimension $96$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.w (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(96\)
Relative dimension: \(24\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 139.2
Character \(\chi\) \(=\) 770.139
Dual form 770.2.w.b.349.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.809017 + 0.587785i) q^{2} +(-0.934488 + 2.87606i) q^{3} +(0.309017 + 0.951057i) q^{4} +(2.04566 + 0.902928i) q^{5} +(-2.44652 + 1.77750i) q^{6} +(2.63792 - 0.203429i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-4.97140 - 3.61193i) q^{9} +O(q^{10})\) \(q+(0.809017 + 0.587785i) q^{2} +(-0.934488 + 2.87606i) q^{3} +(0.309017 + 0.951057i) q^{4} +(2.04566 + 0.902928i) q^{5} +(-2.44652 + 1.77750i) q^{6} +(2.63792 - 0.203429i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-4.97140 - 3.61193i) q^{9} +(1.12425 + 1.93289i) q^{10} +(-2.96415 + 1.48789i) q^{11} -3.02407 q^{12} +(-0.321642 + 0.442702i) q^{13} +(2.25369 + 1.38595i) q^{14} +(-4.50852 + 5.03966i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(3.59196 + 4.94391i) q^{17} +(-1.89891 - 5.84423i) q^{18} +(0.0567089 - 0.174532i) q^{19} +(-0.226592 + 2.22456i) q^{20} +(-1.88003 + 7.77691i) q^{21} +(-3.27261 - 0.538560i) q^{22} -8.00171i q^{23} +(-2.44652 - 1.77750i) q^{24} +(3.36944 + 3.69416i) q^{25} +(-0.520427 + 0.169097i) q^{26} +(7.69428 - 5.59022i) q^{27} +(1.00863 + 2.44595i) q^{28} +(-4.80026 + 1.55970i) q^{29} +(-6.60971 + 1.42713i) q^{30} +(-2.63979 + 3.63336i) q^{31} -1.00000 q^{32} +(-1.50928 - 9.91549i) q^{33} +6.11101i q^{34} +(5.57996 + 1.96570i) q^{35} +(1.89891 - 5.84423i) q^{36} +(4.53079 - 1.47214i) q^{37} +(0.148466 - 0.107867i) q^{38} +(-0.972667 - 1.33876i) q^{39} +(-1.49088 + 1.66652i) q^{40} +(3.44319 - 10.5971i) q^{41} +(-6.09213 + 5.18660i) q^{42} -2.20876 q^{43} +(-2.33104 - 2.35929i) q^{44} +(-6.90847 - 11.8776i) q^{45} +(4.70329 - 6.47352i) q^{46} +(0.0177794 - 0.0547195i) q^{47} +(-0.934488 - 2.87606i) q^{48} +(6.91723 - 1.07326i) q^{49} +(0.554562 + 4.96915i) q^{50} +(-17.5756 + 5.71067i) q^{51} +(-0.520427 - 0.169097i) q^{52} +(7.85350 - 10.8094i) q^{53} +9.51065 q^{54} +(-7.40710 + 0.367292i) q^{55} +(-0.621689 + 2.57167i) q^{56} +(0.448971 + 0.326196i) q^{57} +(-4.80026 - 1.55970i) q^{58} +(-5.59628 + 1.81834i) q^{59} +(-6.18621 - 2.73051i) q^{60} +(3.98101 - 2.89237i) q^{61} +(-4.27127 + 1.38782i) q^{62} +(-13.8489 - 8.51666i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(-1.05770 + 0.615198i) q^{65} +(4.60714 - 8.90893i) q^{66} +9.61579i q^{67} +(-3.59196 + 4.94391i) q^{68} +(23.0134 + 7.47751i) q^{69} +(3.35887 + 4.87011i) q^{70} +(0.266837 - 0.193869i) q^{71} +(4.97140 - 3.61193i) q^{72} +(-6.98448 + 2.26940i) q^{73} +(4.53079 + 1.47214i) q^{74} +(-13.7733 + 6.23857i) q^{75} +0.183514 q^{76} +(-7.51651 + 4.52792i) q^{77} -1.65480i q^{78} +(-2.23926 + 3.08208i) q^{79} +(-2.18570 + 0.471925i) q^{80} +(3.19088 + 9.82051i) q^{81} +(9.01440 - 6.54934i) q^{82} +(3.14192 + 4.32448i) q^{83} +(-7.97725 + 0.615183i) q^{84} +(2.88393 + 13.3568i) q^{85} +(-1.78692 - 1.29828i) q^{86} -15.2634i q^{87} +(-0.499090 - 3.27886i) q^{88} -1.52742i q^{89} +(1.39240 - 13.6699i) q^{90} +(-0.758407 + 1.23324i) q^{91} +(7.61008 - 2.47267i) q^{92} +(-7.98290 - 10.9875i) q^{93} +(0.0465472 - 0.0338185i) q^{94} +(0.273597 - 0.305829i) q^{95} +(0.934488 - 2.87606i) q^{96} +(8.96753 + 6.51530i) q^{97} +(6.22700 + 3.19756i) q^{98} +(20.1101 + 3.30945i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 96 q + 24 q^{2} - 24 q^{4} + 3 q^{7} + 24 q^{8} - 18 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 96 q + 24 q^{2} - 24 q^{4} + 3 q^{7} + 24 q^{8} - 18 q^{9} + 4 q^{11} - 3 q^{14} - 6 q^{15} - 24 q^{16} + 28 q^{18} - 4 q^{22} + 38 q^{25} - 2 q^{28} + 6 q^{30} - 96 q^{32} + 46 q^{35} - 28 q^{36} + 10 q^{39} - 24 q^{43} - 16 q^{44} + 37 q^{49} - 8 q^{50} - 30 q^{51} + 40 q^{53} + 2 q^{56} - 20 q^{57} + 14 q^{60} + 63 q^{63} - 24 q^{64} - 40 q^{65} + 39 q^{70} - 20 q^{71} + 18 q^{72} - 16 q^{77} - 126 q^{81} + 60 q^{85} - 36 q^{86} - 14 q^{88} - 31 q^{91} - 10 q^{92} + 20 q^{93} - 44 q^{95} + 18 q^{98} + 100 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(e\left(\frac{7}{10}\right)\) \(-1\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.809017 + 0.587785i 0.572061 + 0.415627i
\(3\) −0.934488 + 2.87606i −0.539527 + 1.66049i 0.194132 + 0.980976i \(0.437811\pi\)
−0.733659 + 0.679518i \(0.762189\pi\)
\(4\) 0.309017 + 0.951057i 0.154508 + 0.475528i
\(5\) 2.04566 + 0.902928i 0.914847 + 0.403801i
\(6\) −2.44652 + 1.77750i −0.998789 + 0.725662i
\(7\) 2.63792 0.203429i 0.997040 0.0768889i
\(8\) −0.309017 + 0.951057i −0.109254 + 0.336249i
\(9\) −4.97140 3.61193i −1.65713 1.20398i
\(10\) 1.12425 + 1.93289i 0.355518 + 0.611234i
\(11\) −2.96415 + 1.48789i −0.893725 + 0.448614i
\(12\) −3.02407 −0.872973
\(13\) −0.321642 + 0.442702i −0.0892074 + 0.122783i −0.851288 0.524699i \(-0.824178\pi\)
0.762081 + 0.647482i \(0.224178\pi\)
\(14\) 2.25369 + 1.38595i 0.602325 + 0.370411i
\(15\) −4.50852 + 5.03966i −1.16409 + 1.30124i
\(16\) −0.809017 + 0.587785i −0.202254 + 0.146946i
\(17\) 3.59196 + 4.94391i 0.871178 + 1.19907i 0.978787 + 0.204881i \(0.0656806\pi\)
−0.107609 + 0.994193i \(0.534319\pi\)
\(18\) −1.89891 5.84423i −0.447576 1.37750i
\(19\) 0.0567089 0.174532i 0.0130099 0.0400404i −0.944341 0.328969i \(-0.893299\pi\)
0.957351 + 0.288928i \(0.0932989\pi\)
\(20\) −0.226592 + 2.22456i −0.0506674 + 0.497426i
\(21\) −1.88003 + 7.77691i −0.410256 + 1.69706i
\(22\) −3.27261 0.538560i −0.697722 0.114821i
\(23\) 8.00171i 1.66847i −0.551407 0.834236i \(-0.685909\pi\)
0.551407 0.834236i \(-0.314091\pi\)
\(24\) −2.44652 1.77750i −0.499394 0.362831i
\(25\) 3.36944 + 3.69416i 0.673889 + 0.738833i
\(26\) −0.520427 + 0.169097i −0.102064 + 0.0331627i
\(27\) 7.69428 5.59022i 1.48076 1.07584i
\(28\) 1.00863 + 2.44595i 0.190614 + 0.462241i
\(29\) −4.80026 + 1.55970i −0.891386 + 0.289629i −0.718677 0.695344i \(-0.755252\pi\)
−0.172709 + 0.984973i \(0.555252\pi\)
\(30\) −6.60971 + 1.42713i −1.20676 + 0.260557i
\(31\) −2.63979 + 3.63336i −0.474120 + 0.652570i −0.977362 0.211576i \(-0.932141\pi\)
0.503242 + 0.864146i \(0.332141\pi\)
\(32\) −1.00000 −0.176777
\(33\) −1.50928 9.91549i −0.262732 1.72607i
\(34\) 6.11101i 1.04803i
\(35\) 5.57996 + 1.96570i 0.943186 + 0.332265i
\(36\) 1.89891 5.84423i 0.316484 0.974038i
\(37\) 4.53079 1.47214i 0.744858 0.242019i 0.0880906 0.996112i \(-0.471924\pi\)
0.656767 + 0.754094i \(0.271924\pi\)
\(38\) 0.148466 0.107867i 0.0240843 0.0174983i
\(39\) −0.972667 1.33876i −0.155751 0.214373i
\(40\) −1.49088 + 1.66652i −0.235729 + 0.263500i
\(41\) 3.44319 10.5971i 0.537736 1.65498i −0.199924 0.979811i \(-0.564070\pi\)
0.737661 0.675171i \(-0.235930\pi\)
\(42\) −6.09213 + 5.18660i −0.940036 + 0.800310i
\(43\) −2.20876 −0.336833 −0.168416 0.985716i \(-0.553865\pi\)
−0.168416 + 0.985716i \(0.553865\pi\)
\(44\) −2.33104 2.35929i −0.351417 0.355677i
\(45\) −6.90847 11.8776i −1.02985 1.77061i
\(46\) 4.70329 6.47352i 0.693462 0.954469i
\(47\) 0.0177794 0.0547195i 0.00259340 0.00798166i −0.949751 0.313005i \(-0.898664\pi\)
0.952345 + 0.305023i \(0.0986643\pi\)
\(48\) −0.934488 2.87606i −0.134882 0.415123i
\(49\) 6.91723 1.07326i 0.988176 0.153323i
\(50\) 0.554562 + 4.96915i 0.0784269 + 0.702744i
\(51\) −17.5756 + 5.71067i −2.46108 + 0.799653i
\(52\) −0.520427 0.169097i −0.0721703 0.0234496i
\(53\) 7.85350 10.8094i 1.07876 1.48479i 0.217884 0.975975i \(-0.430084\pi\)
0.860877 0.508813i \(-0.169916\pi\)
\(54\) 9.51065 1.29424
\(55\) −7.40710 + 0.367292i −0.998773 + 0.0495257i
\(56\) −0.621689 + 2.57167i −0.0830767 + 0.343654i
\(57\) 0.448971 + 0.326196i 0.0594676 + 0.0432058i
\(58\) −4.80026 1.55970i −0.630305 0.204799i
\(59\) −5.59628 + 1.81834i −0.728574 + 0.236728i −0.649736 0.760160i \(-0.725121\pi\)
−0.0788372 + 0.996888i \(0.525121\pi\)
\(60\) −6.18621 2.73051i −0.798637 0.352508i
\(61\) 3.98101 2.89237i 0.509716 0.370330i −0.303000 0.952991i \(-0.597988\pi\)
0.812716 + 0.582660i \(0.197988\pi\)
\(62\) −4.27127 + 1.38782i −0.542451 + 0.176253i
\(63\) −13.8489 8.51666i −1.74480 1.07300i
\(64\) −0.809017 0.587785i −0.101127 0.0734732i
\(65\) −1.05770 + 0.615198i −0.131191 + 0.0763059i
\(66\) 4.60714 8.90893i 0.567100 1.09661i
\(67\) 9.61579i 1.17476i 0.809313 + 0.587378i \(0.199840\pi\)
−0.809313 + 0.587378i \(0.800160\pi\)
\(68\) −3.59196 + 4.94391i −0.435589 + 0.599537i
\(69\) 23.0134 + 7.47751i 2.77049 + 0.900186i
\(70\) 3.35887 + 4.87011i 0.401462 + 0.582089i
\(71\) 0.266837 0.193869i 0.0316678 0.0230080i −0.571839 0.820366i \(-0.693770\pi\)
0.603507 + 0.797358i \(0.293770\pi\)
\(72\) 4.97140 3.61193i 0.585885 0.425670i
\(73\) −6.98448 + 2.26940i −0.817472 + 0.265613i −0.687759 0.725939i \(-0.741406\pi\)
−0.129713 + 0.991552i \(0.541406\pi\)
\(74\) 4.53079 + 1.47214i 0.526694 + 0.171133i
\(75\) −13.7733 + 6.23857i −1.59041 + 0.720368i
\(76\) 0.183514 0.0210505
\(77\) −7.51651 + 4.52792i −0.856586 + 0.516004i
\(78\) 1.65480i 0.187369i
\(79\) −2.23926 + 3.08208i −0.251937 + 0.346761i −0.916188 0.400748i \(-0.868750\pi\)
0.664252 + 0.747509i \(0.268750\pi\)
\(80\) −2.18570 + 0.471925i −0.244369 + 0.0527628i
\(81\) 3.19088 + 9.82051i 0.354542 + 1.09117i
\(82\) 9.01440 6.54934i 0.995474 0.723254i
\(83\) 3.14192 + 4.32448i 0.344870 + 0.474673i 0.945856 0.324587i \(-0.105225\pi\)
−0.600986 + 0.799260i \(0.705225\pi\)
\(84\) −7.97725 + 0.615183i −0.870389 + 0.0671219i
\(85\) 2.88393 + 13.3568i 0.312807 + 1.44875i
\(86\) −1.78692 1.29828i −0.192689 0.139997i
\(87\) 15.2634i 1.63640i
\(88\) −0.499090 3.27886i −0.0532032 0.349527i
\(89\) 1.52742i 0.161907i −0.996718 0.0809533i \(-0.974204\pi\)
0.996718 0.0809533i \(-0.0257965\pi\)
\(90\) 1.39240 13.6699i 0.146772 1.44093i
\(91\) −0.758407 + 1.23324i −0.0795026 + 0.129279i
\(92\) 7.61008 2.47267i 0.793406 0.257793i
\(93\) −7.98290 10.9875i −0.827788 1.13935i
\(94\) 0.0465472 0.0338185i 0.00480098 0.00348811i
\(95\) 0.273597 0.305829i 0.0280704 0.0313774i
\(96\) 0.934488 2.87606i 0.0953758 0.293537i
\(97\) 8.96753 + 6.51530i 0.910515 + 0.661528i 0.941145 0.338003i \(-0.109751\pi\)
−0.0306299 + 0.999531i \(0.509751\pi\)
\(98\) 6.22700 + 3.19756i 0.629022 + 0.323003i
\(99\) 20.1101 + 3.30945i 2.02114 + 0.332612i
\(100\) −2.47214 + 4.34609i −0.247214 + 0.434609i
\(101\) 10.4062 + 7.56052i 1.03545 + 0.752300i 0.969393 0.245516i \(-0.0789574\pi\)
0.0660593 + 0.997816i \(0.478957\pi\)
\(102\) −17.5756 5.71067i −1.74025 0.565440i
\(103\) 2.59604 + 7.98980i 0.255796 + 0.787258i 0.993672 + 0.112322i \(0.0358288\pi\)
−0.737876 + 0.674936i \(0.764171\pi\)
\(104\) −0.321642 0.442702i −0.0315396 0.0434105i
\(105\) −10.8679 + 14.2114i −1.06060 + 1.38689i
\(106\) 12.7072 4.12883i 1.23424 0.401027i
\(107\) 0.784019 2.41296i 0.0757939 0.233270i −0.905981 0.423319i \(-0.860865\pi\)
0.981775 + 0.190050i \(0.0608649\pi\)
\(108\) 7.69428 + 5.59022i 0.740382 + 0.537919i
\(109\) 13.2256i 1.26678i −0.773833 0.633390i \(-0.781663\pi\)
0.773833 0.633390i \(-0.218337\pi\)
\(110\) −6.20836 4.05664i −0.591944 0.386785i
\(111\) 14.4065i 1.36741i
\(112\) −2.01455 + 1.71511i −0.190357 + 0.162062i
\(113\) −3.31407 1.07681i −0.311762 0.101298i 0.148957 0.988844i \(-0.452408\pi\)
−0.460719 + 0.887546i \(0.652408\pi\)
\(114\) 0.171492 + 0.527797i 0.0160617 + 0.0494327i
\(115\) 7.22497 16.3688i 0.673732 1.52640i
\(116\) −2.96673 4.08335i −0.275454 0.379129i
\(117\) 3.19802 1.03910i 0.295657 0.0960648i
\(118\) −5.59628 1.81834i −0.515179 0.167392i
\(119\) 10.4810 + 12.3109i 0.960795 + 1.12854i
\(120\) −3.39979 5.84520i −0.310357 0.533591i
\(121\) 6.57239 8.82064i 0.597490 0.801876i
\(122\) 4.92080 0.445508
\(123\) 27.2601 + 19.8057i 2.45796 + 1.78582i
\(124\) −4.27127 1.38782i −0.383571 0.124630i
\(125\) 3.55717 + 10.5994i 0.318163 + 0.948036i
\(126\) −6.19804 15.0303i −0.552166 1.33901i
\(127\) 15.9399 11.5810i 1.41444 1.02765i 0.421777 0.906700i \(-0.361407\pi\)
0.992659 0.120948i \(-0.0385933\pi\)
\(128\) −0.309017 0.951057i −0.0273135 0.0840623i
\(129\) 2.06406 6.35253i 0.181730 0.559309i
\(130\) −1.21730 0.123993i −0.106764 0.0108749i
\(131\) −10.5056 −0.917880 −0.458940 0.888467i \(-0.651771\pi\)
−0.458940 + 0.888467i \(0.651771\pi\)
\(132\) 8.96380 4.49947i 0.780198 0.391628i
\(133\) 0.114089 0.471938i 0.00989274 0.0409222i
\(134\) −5.65202 + 7.77934i −0.488260 + 0.672033i
\(135\) 20.7874 4.48831i 1.78910 0.386292i
\(136\) −5.81191 + 1.88841i −0.498367 + 0.161929i
\(137\) −2.14585 2.95350i −0.183332 0.252335i 0.707452 0.706761i \(-0.249844\pi\)
−0.890784 + 0.454426i \(0.849844\pi\)
\(138\) 14.2231 + 19.5764i 1.21075 + 1.66645i
\(139\) −0.675103 2.07775i −0.0572615 0.176233i 0.918335 0.395804i \(-0.129534\pi\)
−0.975596 + 0.219571i \(0.929534\pi\)
\(140\) −0.145191 + 5.91430i −0.0122709 + 0.499849i
\(141\) 0.140762 + 0.102269i 0.0118543 + 0.00861264i
\(142\) 0.329829 0.0276786
\(143\) 0.294705 1.79080i 0.0246445 0.149754i
\(144\) 6.14499 0.512082
\(145\) −11.2280 1.14368i −0.932435 0.0949770i
\(146\) −6.98448 2.26940i −0.578040 0.187817i
\(147\) −3.37732 + 20.8973i −0.278557 + 1.72358i
\(148\) 2.80018 + 3.85412i 0.230174 + 0.316807i
\(149\) −3.29150 4.53036i −0.269650 0.371141i 0.652622 0.757684i \(-0.273669\pi\)
−0.922272 + 0.386543i \(0.873669\pi\)
\(150\) −14.8098 3.04866i −1.20922 0.248922i
\(151\) −0.647227 0.210297i −0.0526706 0.0171137i 0.282563 0.959249i \(-0.408815\pi\)
−0.335234 + 0.942135i \(0.608815\pi\)
\(152\) 0.148466 + 0.107867i 0.0120422 + 0.00874915i
\(153\) 37.5521i 3.03590i
\(154\) −8.74243 0.754935i −0.704485 0.0608344i
\(155\) −8.68076 + 5.04907i −0.697256 + 0.405551i
\(156\) 0.972667 1.33876i 0.0778757 0.107187i
\(157\) −7.09516 + 21.8367i −0.566256 + 1.74276i 0.0979350 + 0.995193i \(0.468776\pi\)
−0.664191 + 0.747563i \(0.731224\pi\)
\(158\) −3.62321 + 1.17725i −0.288247 + 0.0936570i
\(159\) 23.7495 + 32.6884i 1.88346 + 2.59236i
\(160\) −2.04566 0.902928i −0.161724 0.0713827i
\(161\) −1.62778 21.1079i −0.128287 1.66353i
\(162\) −3.19088 + 9.82051i −0.250699 + 0.771572i
\(163\) −9.87785 + 13.5957i −0.773693 + 1.06490i 0.222257 + 0.974988i \(0.428658\pi\)
−0.995950 + 0.0899093i \(0.971342\pi\)
\(164\) 11.1424 0.870076
\(165\) 5.86549 21.6465i 0.456628 1.68518i
\(166\) 5.34535i 0.414880i
\(167\) 11.9390 16.4326i 0.923868 1.27160i −0.0383353 0.999265i \(-0.512206\pi\)
0.962204 0.272331i \(-0.0877945\pi\)
\(168\) −6.81532 4.19121i −0.525814 0.323359i
\(169\) 3.92469 + 12.0790i 0.301899 + 0.929150i
\(170\) −5.51780 + 12.5010i −0.423196 + 0.958786i
\(171\) −0.912321 + 0.662840i −0.0697669 + 0.0506886i
\(172\) −0.682545 2.10066i −0.0520435 0.160174i
\(173\) 12.2105 + 3.96744i 0.928349 + 0.301639i 0.733887 0.679271i \(-0.237704\pi\)
0.194462 + 0.980910i \(0.437704\pi\)
\(174\) 8.97158 12.3483i 0.680134 0.936124i
\(175\) 9.63982 + 9.05946i 0.728702 + 0.684831i
\(176\) 1.52349 2.94601i 0.114838 0.222064i
\(177\) 17.7945i 1.33751i
\(178\) 0.897797 1.23571i 0.0672928 0.0926205i
\(179\) −1.54764 + 4.76313i −0.115676 + 0.356013i −0.992087 0.125549i \(-0.959931\pi\)
0.876412 + 0.481563i \(0.159931\pi\)
\(180\) 9.16143 10.2407i 0.682853 0.763299i
\(181\) 8.77710 + 12.0806i 0.652397 + 0.897947i 0.999200 0.0399908i \(-0.0127329\pi\)
−0.346803 + 0.937938i \(0.612733\pi\)
\(182\) −1.33845 + 0.551934i −0.0992122 + 0.0409121i
\(183\) 4.59843 + 14.1525i 0.339925 + 1.04618i
\(184\) 7.61008 + 2.47267i 0.561023 + 0.182287i
\(185\) 10.5977 + 1.07947i 0.779158 + 0.0793644i
\(186\) 13.5813i 0.995831i
\(187\) −18.0031 9.31007i −1.31652 0.680820i
\(188\) 0.0575355 0.00419621
\(189\) 19.1597 16.3118i 1.39366 1.18651i
\(190\) 0.401106 0.0866047i 0.0290993 0.00628297i
\(191\) 2.34919 + 7.23006i 0.169981 + 0.523149i 0.999369 0.0355249i \(-0.0113103\pi\)
−0.829387 + 0.558674i \(0.811310\pi\)
\(192\) 2.44652 1.77750i 0.176563 0.128280i
\(193\) −17.6808 + 12.8459i −1.27269 + 0.924666i −0.999306 0.0372384i \(-0.988144\pi\)
−0.273387 + 0.961904i \(0.588144\pi\)
\(194\) 3.42529 + 10.5420i 0.245922 + 0.756869i
\(195\) −0.780941 3.61690i −0.0559243 0.259011i
\(196\) 3.15827 + 6.24703i 0.225591 + 0.446216i
\(197\) 11.3983 0.812098 0.406049 0.913851i \(-0.366906\pi\)
0.406049 + 0.913851i \(0.366906\pi\)
\(198\) 14.3242 + 14.4978i 1.01798 + 1.03032i
\(199\) 26.1676i 1.85497i −0.373862 0.927484i \(-0.621967\pi\)
0.373862 0.927484i \(-0.378033\pi\)
\(200\) −4.55457 + 2.06297i −0.322057 + 0.145874i
\(201\) −27.6556 8.98585i −1.95068 0.633813i
\(202\) 3.97480 + 12.2332i 0.279666 + 0.860723i
\(203\) −12.3454 + 5.09087i −0.866478 + 0.357309i
\(204\) −10.8623 14.9507i −0.760515 1.04676i
\(205\) 16.6120 18.5690i 1.16023 1.29692i
\(206\) −2.59604 + 7.98980i −0.180875 + 0.556675i
\(207\) −28.9016 + 39.7797i −2.00880 + 2.76488i
\(208\) 0.547210i 0.0379422i
\(209\) 0.0915899 + 0.601716i 0.00633541 + 0.0416216i
\(210\) −17.1456 + 5.10926i −1.18316 + 0.352573i
\(211\) −9.81992 + 13.5160i −0.676031 + 0.930477i −0.999878 0.0156326i \(-0.995024\pi\)
0.323847 + 0.946110i \(0.395024\pi\)
\(212\) 12.7072 + 4.12883i 0.872736 + 0.283569i
\(213\) 0.308221 + 0.948608i 0.0211190 + 0.0649975i
\(214\) 2.05259 1.49129i 0.140312 0.101943i
\(215\) −4.51837 1.99435i −0.308150 0.136014i
\(216\) 2.93895 + 9.04517i 0.199970 + 0.615446i
\(217\) −6.22442 + 10.1215i −0.422541 + 0.687093i
\(218\) 7.77379 10.6997i 0.526508 0.724676i
\(219\) 22.2085i 1.50071i
\(220\) −2.63823 6.93107i −0.177870 0.467293i
\(221\) −3.34400 −0.224942
\(222\) −8.46794 + 11.6551i −0.568331 + 0.782241i
\(223\) 4.14293 12.7506i 0.277431 0.853846i −0.711134 0.703056i \(-0.751818\pi\)
0.988566 0.150790i \(-0.0481817\pi\)
\(224\) −2.63792 + 0.203429i −0.176253 + 0.0135922i
\(225\) −3.40778 30.5354i −0.227185 2.03569i
\(226\) −2.04821 2.81912i −0.136245 0.187525i
\(227\) −1.47387 + 0.478890i −0.0978244 + 0.0317851i −0.357520 0.933905i \(-0.616378\pi\)
0.259696 + 0.965690i \(0.416378\pi\)
\(228\) −0.171492 + 0.527797i −0.0113573 + 0.0349542i
\(229\) 6.26824 8.62749i 0.414217 0.570121i −0.550024 0.835149i \(-0.685381\pi\)
0.964241 + 0.265028i \(0.0853813\pi\)
\(230\) 15.4664 8.99589i 1.01983 0.593171i
\(231\) −5.99846 25.8492i −0.394670 1.70075i
\(232\) 5.04730i 0.331371i
\(233\) −5.49919 3.99540i −0.360264 0.261747i 0.392898 0.919582i \(-0.371473\pi\)
−0.753162 + 0.657835i \(0.771473\pi\)
\(234\) 3.19802 + 1.03910i 0.209061 + 0.0679281i
\(235\) 0.0857784 0.0958839i 0.00559557 0.00625478i
\(236\) −3.45869 4.76048i −0.225142 0.309881i
\(237\) −6.77169 9.32043i −0.439868 0.605427i
\(238\) 1.24316 + 16.1203i 0.0805818 + 1.04493i
\(239\) −6.84232 2.22320i −0.442593 0.143807i 0.0792388 0.996856i \(-0.474751\pi\)
−0.521832 + 0.853049i \(0.674751\pi\)
\(240\) 0.685229 6.72721i 0.0442313 0.434240i
\(241\) −18.9473 −1.22051 −0.610253 0.792207i \(-0.708932\pi\)
−0.610253 + 0.792207i \(0.708932\pi\)
\(242\) 10.5018 3.27289i 0.675082 0.210389i
\(243\) −2.69426 −0.172837
\(244\) 3.98101 + 2.89237i 0.254858 + 0.185165i
\(245\) 15.1194 + 4.05024i 0.965942 + 0.258760i
\(246\) 10.4125 + 32.0462i 0.663874 + 2.04319i
\(247\) 0.0590257 + 0.0812420i 0.00375572 + 0.00516930i
\(248\) −2.63979 3.63336i −0.167627 0.230718i
\(249\) −15.3735 + 4.99517i −0.974259 + 0.316556i
\(250\) −3.35234 + 10.6659i −0.212021 + 0.674572i
\(251\) −12.5752 + 17.3083i −0.793739 + 1.09249i 0.199894 + 0.979818i \(0.435940\pi\)
−0.993632 + 0.112670i \(0.964060\pi\)
\(252\) 3.82027 15.8029i 0.240655 0.995489i
\(253\) 11.9056 + 23.7183i 0.748501 + 1.49116i
\(254\) 19.7028 1.23626
\(255\) −41.1100 4.18744i −2.57441 0.262227i
\(256\) 0.309017 0.951057i 0.0193136 0.0594410i
\(257\) −8.99513 27.6842i −0.561101 1.72689i −0.679261 0.733896i \(-0.737700\pi\)
0.118160 0.992995i \(-0.462300\pi\)
\(258\) 5.40378 3.92608i 0.336425 0.244427i
\(259\) 11.6524 4.80509i 0.724044 0.298574i
\(260\) −0.911935 0.815823i −0.0565558 0.0505952i
\(261\) 29.4976 + 9.58434i 1.82585 + 0.593255i
\(262\) −8.49922 6.17505i −0.525084 0.381496i
\(263\) −7.06518 −0.435658 −0.217829 0.975987i \(-0.569897\pi\)
−0.217829 + 0.975987i \(0.569897\pi\)
\(264\) 9.89658 + 1.62864i 0.609093 + 0.100236i
\(265\) 25.8257 15.0212i 1.58646 0.922747i
\(266\) 0.369698 0.314746i 0.0226676 0.0192983i
\(267\) 4.39296 + 1.42736i 0.268845 + 0.0873530i
\(268\) −9.14516 + 2.97144i −0.558630 + 0.181510i
\(269\) 0.506012 + 0.696466i 0.0308521 + 0.0424643i 0.824164 0.566351i \(-0.191645\pi\)
−0.793312 + 0.608815i \(0.791645\pi\)
\(270\) 19.4556 + 8.58743i 1.18403 + 0.522614i
\(271\) −4.00444 12.3244i −0.243253 0.748655i −0.995919 0.0902525i \(-0.971233\pi\)
0.752666 0.658402i \(-0.228767\pi\)
\(272\) −5.81191 1.88841i −0.352399 0.114501i
\(273\) −2.83816 3.33367i −0.171773 0.201763i
\(274\) 3.65073i 0.220549i
\(275\) −15.4840 5.93672i −0.933723 0.357998i
\(276\) 24.1977i 1.45653i
\(277\) 6.92017 + 5.02780i 0.415793 + 0.302091i 0.775943 0.630803i \(-0.217274\pi\)
−0.360150 + 0.932894i \(0.617274\pi\)
\(278\) 0.675103 2.07775i 0.0404900 0.124615i
\(279\) 26.2469 8.52813i 1.57136 0.510566i
\(280\) −3.59380 + 4.69943i −0.214771 + 0.280844i
\(281\) −15.8666 21.8385i −0.946521 1.30277i −0.953056 0.302795i \(-0.902080\pi\)
0.00653485 0.999979i \(-0.497920\pi\)
\(282\) 0.0537662 + 0.165475i 0.00320173 + 0.00985392i
\(283\) −2.70732 0.879660i −0.160933 0.0522904i 0.227442 0.973792i \(-0.426964\pi\)
−0.388376 + 0.921501i \(0.626964\pi\)
\(284\) 0.266837 + 0.193869i 0.0158339 + 0.0115040i
\(285\) 0.623909 + 1.07267i 0.0369572 + 0.0635398i
\(286\) 1.29103 1.27557i 0.0763401 0.0754258i
\(287\) 6.92712 28.6546i 0.408895 1.69143i
\(288\) 4.97140 + 3.61193i 0.292942 + 0.212835i
\(289\) −6.28677 + 19.3487i −0.369810 + 1.13816i
\(290\) −8.41141 7.52490i −0.493935 0.441878i
\(291\) −27.1184 + 19.7027i −1.58971 + 1.15499i
\(292\) −4.31665 5.94136i −0.252613 0.347692i
\(293\) −10.9571 + 3.56019i −0.640123 + 0.207989i −0.611054 0.791589i \(-0.709254\pi\)
−0.0290691 + 0.999577i \(0.509254\pi\)
\(294\) −15.0154 + 14.9211i −0.875719 + 0.870219i
\(295\) −13.0899 1.33333i −0.762124 0.0776294i
\(296\) 4.76396i 0.276899i
\(297\) −14.4894 + 28.0185i −0.840761 + 1.62580i
\(298\) 5.59983i 0.324389i
\(299\) 3.54237 + 2.57369i 0.204861 + 0.148840i
\(300\) −10.1894 11.1714i −0.588287 0.644981i
\(301\) −5.82653 + 0.449326i −0.335836 + 0.0258987i
\(302\) −0.400008 0.550564i −0.0230179 0.0316814i
\(303\) −31.4689 + 22.8635i −1.80784 + 1.31348i
\(304\) 0.0567089 + 0.174532i 0.00325248 + 0.0100101i
\(305\) 10.7554 2.32224i 0.615852 0.132971i
\(306\) 22.0725 30.3803i 1.26180 1.73672i
\(307\) 8.19451i 0.467686i −0.972274 0.233843i \(-0.924870\pi\)
0.972274 0.233843i \(-0.0751301\pi\)
\(308\) −6.62903 5.74943i −0.377724 0.327604i
\(309\) −25.4051 −1.44525
\(310\) −9.99066 1.01764i −0.567431 0.0577981i
\(311\) −14.3278 4.65539i −0.812456 0.263983i −0.126818 0.991926i \(-0.540476\pi\)
−0.685637 + 0.727943i \(0.740476\pi\)
\(312\) 1.57381 0.511361i 0.0890993 0.0289501i
\(313\) 14.0535 10.2105i 0.794352 0.577131i −0.114900 0.993377i \(-0.536655\pi\)
0.909252 + 0.416247i \(0.136655\pi\)
\(314\) −18.5754 + 13.4958i −1.04827 + 0.761612i
\(315\) −20.6402 29.9268i −1.16295 1.68618i
\(316\) −3.62321 1.17725i −0.203821 0.0662255i
\(317\) 4.74691 6.53356i 0.266613 0.366961i −0.654630 0.755950i \(-0.727175\pi\)
0.921243 + 0.388988i \(0.127175\pi\)
\(318\) 40.4051i 2.26581i
\(319\) 11.9081 11.7654i 0.666723 0.658738i
\(320\) −1.12425 1.93289i −0.0628472 0.108052i
\(321\) 6.20716 + 4.50977i 0.346450 + 0.251711i
\(322\) 11.0900 18.0334i 0.618021 1.00496i
\(323\) 1.06657 0.346549i 0.0593454 0.0192825i
\(324\) −8.35383 + 6.06941i −0.464102 + 0.337190i
\(325\) −2.71917 + 0.303462i −0.150832 + 0.0168330i
\(326\) −15.9827 + 5.19310i −0.885200 + 0.287619i
\(327\) 38.0375 + 12.3591i 2.10348 + 0.683462i
\(328\) 9.01440 + 6.54934i 0.497737 + 0.361627i
\(329\) 0.0357692 0.147962i 0.00197202 0.00815743i
\(330\) 17.4688 14.0647i 0.961624 0.774238i
\(331\) 28.1074 1.54492 0.772460 0.635063i \(-0.219026\pi\)
0.772460 + 0.635063i \(0.219026\pi\)
\(332\) −3.14192 + 4.32448i −0.172435 + 0.237337i
\(333\) −27.8417 9.04630i −1.52571 0.495734i
\(334\) 19.3177 6.27671i 1.05702 0.343446i
\(335\) −8.68237 + 19.6706i −0.474368 + 1.07472i
\(336\) −3.05018 7.39671i −0.166401 0.403524i
\(337\) −7.35825 22.6464i −0.400829 1.23363i −0.924328 0.381599i \(-0.875373\pi\)
0.523499 0.852027i \(-0.324627\pi\)
\(338\) −3.92469 + 12.0790i −0.213475 + 0.657008i
\(339\) 6.19393 8.52521i 0.336408 0.463026i
\(340\) −11.8119 + 6.87027i −0.640591 + 0.372593i
\(341\) 2.41871 14.6975i 0.130981 0.795915i
\(342\) −1.12769 −0.0609785
\(343\) 18.0288 4.23833i 0.973462 0.228848i
\(344\) 0.682545 2.10066i 0.0368003 0.113260i
\(345\) 40.3259 + 36.0759i 2.17108 + 1.94226i
\(346\) 7.54652 + 10.3869i 0.405704 + 0.558403i
\(347\) 29.0544 21.1093i 1.55972 1.13320i 0.623485 0.781835i \(-0.285716\pi\)
0.936237 0.351369i \(-0.114284\pi\)
\(348\) 14.5163 4.71664i 0.778156 0.252838i
\(349\) −2.44948 + 7.53871i −0.131117 + 0.403538i −0.994966 0.100214i \(-0.968047\pi\)
0.863848 + 0.503752i \(0.168047\pi\)
\(350\) 2.47376 + 12.9954i 0.132228 + 0.694634i
\(351\) 5.20432i 0.277786i
\(352\) 2.96415 1.48789i 0.157990 0.0793046i
\(353\) 3.28664 0.174930 0.0874652 0.996168i \(-0.472123\pi\)
0.0874652 + 0.996168i \(0.472123\pi\)
\(354\) 10.4593 14.3960i 0.555906 0.765140i
\(355\) 0.720908 0.155654i 0.0382618 0.00826128i
\(356\) 1.45267 0.472000i 0.0769912 0.0250160i
\(357\) −45.2013 + 18.6397i −2.39231 + 0.986515i
\(358\) −4.05176 + 2.94378i −0.214142 + 0.155584i
\(359\) −19.1842 + 6.23332i −1.01250 + 0.328982i −0.767851 0.640629i \(-0.778674\pi\)
−0.244652 + 0.969611i \(0.578674\pi\)
\(360\) 13.4311 2.89997i 0.707881 0.152842i
\(361\) 15.3441 + 11.1481i 0.807583 + 0.586743i
\(362\) 14.9325i 0.784834i
\(363\) 19.2269 + 27.1454i 1.00915 + 1.42476i
\(364\) −1.40724 0.340195i −0.0737597 0.0178310i
\(365\) −16.3370 1.66407i −0.855116 0.0871015i
\(366\) −4.59843 + 14.1525i −0.240364 + 0.739763i
\(367\) 6.38721 + 19.6578i 0.333410 + 1.02613i 0.967500 + 0.252870i \(0.0813746\pi\)
−0.634091 + 0.773259i \(0.718625\pi\)
\(368\) 4.70329 + 6.47352i 0.245176 + 0.337456i
\(369\) −55.3934 + 40.2456i −2.88366 + 2.09510i
\(370\) 7.93922 + 7.10248i 0.412740 + 0.369240i
\(371\) 18.5180 30.1120i 0.961404 1.56334i
\(372\) 7.98290 10.9875i 0.413894 0.569676i
\(373\) 9.53934 0.493928 0.246964 0.969025i \(-0.420567\pi\)
0.246964 + 0.969025i \(0.420567\pi\)
\(374\) −9.09248 18.1140i −0.470161 0.936650i
\(375\) −33.8085 + 0.325651i −1.74587 + 0.0168166i
\(376\) 0.0465472 + 0.0338185i 0.00240049 + 0.00174406i
\(377\) 0.853483 2.62675i 0.0439566 0.135285i
\(378\) 25.0883 1.93474i 1.29040 0.0995124i
\(379\) 15.6278 11.3542i 0.802744 0.583227i −0.108974 0.994045i \(-0.534757\pi\)
0.911718 + 0.410817i \(0.134757\pi\)
\(380\) 0.375407 + 0.165700i 0.0192580 + 0.00850022i
\(381\) 18.4120 + 56.6663i 0.943276 + 2.90310i
\(382\) −2.34919 + 7.23006i −0.120195 + 0.369922i
\(383\) −8.21622 5.96944i −0.419829 0.305024i 0.357740 0.933821i \(-0.383547\pi\)
−0.777569 + 0.628797i \(0.783547\pi\)
\(384\) 3.02407 0.154321
\(385\) −19.4646 + 2.47570i −0.992008 + 0.126174i
\(386\) −21.8547 −1.11237
\(387\) 10.9806 + 7.97789i 0.558177 + 0.405539i
\(388\) −3.42529 + 10.5420i −0.173893 + 0.535187i
\(389\) −5.65907 17.4168i −0.286926 0.883068i −0.985815 0.167837i \(-0.946322\pi\)
0.698889 0.715230i \(-0.253678\pi\)
\(390\) 1.49416 3.38516i 0.0756599 0.171414i
\(391\) 39.5597 28.7418i 2.00062 1.45354i
\(392\) −1.11681 + 6.91033i −0.0564076 + 0.349025i
\(393\) 9.81738 30.2148i 0.495221 1.52413i
\(394\) 9.22145 + 6.69978i 0.464570 + 0.337530i
\(395\) −7.36367 + 4.28300i −0.370506 + 0.215501i
\(396\) 3.06690 + 20.1485i 0.154118 + 1.01250i
\(397\) 14.0720 0.706255 0.353127 0.935575i \(-0.385118\pi\)
0.353127 + 0.935575i \(0.385118\pi\)
\(398\) 15.3809 21.1700i 0.770975 1.06116i
\(399\) 1.25071 + 0.769146i 0.0626136 + 0.0385055i
\(400\) −4.89731 1.00813i −0.244866 0.0504066i
\(401\) 12.3390 8.96478i 0.616178 0.447680i −0.235406 0.971897i \(-0.575642\pi\)
0.851584 + 0.524217i \(0.175642\pi\)
\(402\) −17.0921 23.5253i −0.852476 1.17333i
\(403\) −0.759428 2.33728i −0.0378298 0.116428i
\(404\) −3.97480 + 12.2332i −0.197754 + 0.608623i
\(405\) −2.33976 + 22.9706i −0.116264 + 1.14142i
\(406\) −12.9800 3.13785i −0.644186 0.155729i
\(407\) −11.2396 + 11.1050i −0.557125 + 0.550452i
\(408\) 18.4801i 0.914901i
\(409\) 13.6177 + 9.89386i 0.673353 + 0.489220i 0.871146 0.491024i \(-0.163377\pi\)
−0.197793 + 0.980244i \(0.563377\pi\)
\(410\) 24.3540 5.25838i 1.20276 0.259693i
\(411\) 10.4997 3.41157i 0.517913 0.168280i
\(412\) −6.79653 + 4.93796i −0.334841 + 0.243276i
\(413\) −14.3926 + 5.93508i −0.708215 + 0.292046i
\(414\) −46.7639 + 15.1945i −2.29832 + 0.746769i
\(415\) 2.52260 + 11.6833i 0.123830 + 0.573512i
\(416\) 0.321642 0.442702i 0.0157698 0.0217053i
\(417\) 6.60662 0.323528
\(418\) −0.279582 + 0.540634i −0.0136748 + 0.0264433i
\(419\) 29.0361i 1.41851i 0.704954 + 0.709253i \(0.250968\pi\)
−0.704954 + 0.709253i \(0.749032\pi\)
\(420\) −16.8742 5.94442i −0.823376 0.290058i
\(421\) 6.74259 20.7516i 0.328614 1.01137i −0.641169 0.767400i \(-0.721550\pi\)
0.969783 0.243970i \(-0.0784498\pi\)
\(422\) −15.8890 + 5.16264i −0.773463 + 0.251313i
\(423\) −0.286032 + 0.207814i −0.0139073 + 0.0101043i
\(424\) 7.85350 + 10.8094i 0.381400 + 0.524952i
\(425\) −6.16070 + 29.9275i −0.298838 + 1.45170i
\(426\) −0.308221 + 0.948608i −0.0149334 + 0.0459602i
\(427\) 9.91318 8.43969i 0.479732 0.408425i
\(428\) 2.53714 0.122637
\(429\) 4.87506 + 2.52107i 0.235370 + 0.121719i
\(430\) −2.48319 4.26930i −0.119750 0.205884i
\(431\) 14.2378 19.5966i 0.685810 0.943936i −0.314176 0.949365i \(-0.601728\pi\)
0.999985 + 0.00542877i \(0.00172804\pi\)
\(432\) −2.93895 + 9.04517i −0.141400 + 0.435186i
\(433\) −2.20106 6.77417i −0.105776 0.325546i 0.884136 0.467230i \(-0.154748\pi\)
−0.989912 + 0.141685i \(0.954748\pi\)
\(434\) −10.9849 + 4.52985i −0.527294 + 0.217440i
\(435\) 13.7817 31.2236i 0.660782 1.49706i
\(436\) 12.5783 4.08693i 0.602390 0.195728i
\(437\) −1.39656 0.453768i −0.0668063 0.0217067i
\(438\) 13.0538 17.9671i 0.623736 0.858500i
\(439\) −15.6962 −0.749141 −0.374571 0.927198i \(-0.622210\pi\)
−0.374571 + 0.927198i \(0.622210\pi\)
\(440\) 1.93960 7.15807i 0.0924670 0.341248i
\(441\) −38.2649 19.6490i −1.82214 0.935666i
\(442\) −2.70536 1.96556i −0.128681 0.0934919i
\(443\) −37.1947 12.0853i −1.76717 0.574190i −0.769271 0.638923i \(-0.779380\pi\)
−0.997903 + 0.0647331i \(0.979380\pi\)
\(444\) −13.7014 + 4.45186i −0.650241 + 0.211276i
\(445\) 1.37915 3.12459i 0.0653781 0.148120i
\(446\) 10.8463 7.88033i 0.513589 0.373144i
\(447\) 16.1054 5.23298i 0.761761 0.247511i
\(448\) −2.25369 1.38595i −0.106477 0.0654801i
\(449\) −26.4877 19.2444i −1.25003 0.908200i −0.251806 0.967778i \(-0.581025\pi\)
−0.998224 + 0.0595777i \(0.981025\pi\)
\(450\) 15.1913 26.7067i 0.716124 1.25896i
\(451\) 5.56106 + 36.5344i 0.261860 + 1.72034i
\(452\) 3.48462i 0.163903i
\(453\) 1.20965 1.66494i 0.0568344 0.0782258i
\(454\) −1.47387 0.478890i −0.0691723 0.0224754i
\(455\) −2.66497 + 1.83801i −0.124936 + 0.0861672i
\(456\) −0.448971 + 0.326196i −0.0210250 + 0.0152755i
\(457\) −6.62484 + 4.81323i −0.309897 + 0.225153i −0.731852 0.681463i \(-0.761344\pi\)
0.421955 + 0.906617i \(0.361344\pi\)
\(458\) 10.1422 3.29541i 0.473915 0.153984i
\(459\) 55.2751 + 17.9600i 2.58002 + 0.838299i
\(460\) 17.8003 + 1.81312i 0.829942 + 0.0845372i
\(461\) −21.4665 −0.999797 −0.499898 0.866084i \(-0.666629\pi\)
−0.499898 + 0.866084i \(0.666629\pi\)
\(462\) 10.3409 24.4383i 0.481104 1.13697i
\(463\) 10.7819i 0.501076i −0.968107 0.250538i \(-0.919393\pi\)
0.968107 0.250538i \(-0.0806074\pi\)
\(464\) 2.96673 4.08335i 0.137727 0.189565i
\(465\) −6.40936 29.6847i −0.297227 1.37659i
\(466\) −2.10051 6.46469i −0.0973040 0.299471i
\(467\) −14.7633 + 10.7262i −0.683164 + 0.496347i −0.874406 0.485195i \(-0.838748\pi\)
0.191242 + 0.981543i \(0.438748\pi\)
\(468\) 1.97648 + 2.72040i 0.0913630 + 0.125750i
\(469\) 1.95613 + 25.3657i 0.0903257 + 1.17128i
\(470\) 0.125755 0.0271524i 0.00580066 0.00125245i
\(471\) −56.1732 40.8122i −2.58832 1.88053i
\(472\) 5.88428i 0.270846i
\(473\) 6.54710 3.28638i 0.301036 0.151108i
\(474\) 11.5207i 0.529162i
\(475\) 0.835828 0.378584i 0.0383504 0.0173706i
\(476\) −8.46957 + 13.7723i −0.388202 + 0.631254i
\(477\) −78.0858 + 25.3716i −3.57530 + 1.16169i
\(478\) −4.22878 5.82042i −0.193420 0.266220i
\(479\) 12.8918 9.36643i 0.589041 0.427963i −0.252931 0.967484i \(-0.581395\pi\)
0.841972 + 0.539521i \(0.181395\pi\)
\(480\) 4.50852 5.03966i 0.205785 0.230028i
\(481\) −0.805571 + 2.47929i −0.0367309 + 0.113046i
\(482\) −15.3287 11.1370i −0.698204 0.507275i
\(483\) 62.2286 + 15.0435i 2.83150 + 0.684502i
\(484\) 10.4199 + 3.52499i 0.473632 + 0.160227i
\(485\) 12.4617 + 21.4251i 0.565856 + 0.972864i
\(486\) −2.17971 1.58365i −0.0988734 0.0718358i
\(487\) −6.36839 2.06922i −0.288579 0.0937651i 0.161150 0.986930i \(-0.448480\pi\)
−0.449730 + 0.893165i \(0.648480\pi\)
\(488\) 1.52061 + 4.67995i 0.0688347 + 0.211852i
\(489\) −29.8713 41.1143i −1.35083 1.85925i
\(490\) 9.85116 + 12.1637i 0.445030 + 0.549498i
\(491\) −9.33984 + 3.03470i −0.421501 + 0.136954i −0.512085 0.858935i \(-0.671127\pi\)
0.0905840 + 0.995889i \(0.471127\pi\)
\(492\) −10.4125 + 32.0462i −0.469430 + 1.44476i
\(493\) −24.9534 18.1297i −1.12384 0.816520i
\(494\) 0.100421i 0.00451814i
\(495\) 38.1503 + 24.9280i 1.71473 + 1.12043i
\(496\) 4.49108i 0.201655i
\(497\) 0.664457 0.565692i 0.0298050 0.0253748i
\(498\) −15.3735 4.99517i −0.688905 0.223839i
\(499\) 6.65825 + 20.4920i 0.298064 + 0.917347i 0.982175 + 0.187969i \(0.0601904\pi\)
−0.684111 + 0.729378i \(0.739810\pi\)
\(500\) −8.98137 + 6.65845i −0.401659 + 0.297775i
\(501\) 36.1044 + 49.6934i 1.61302 + 2.22014i
\(502\) −20.3471 + 6.61117i −0.908135 + 0.295071i
\(503\) −31.0787 10.0981i −1.38573 0.450252i −0.481183 0.876620i \(-0.659793\pi\)
−0.904550 + 0.426368i \(0.859793\pi\)
\(504\) 12.3794 10.5393i 0.551421 0.469458i
\(505\) 14.4609 + 24.8623i 0.643500 + 1.10636i
\(506\) −4.30940 + 26.1865i −0.191576 + 1.16413i
\(507\) −38.4074 −1.70573
\(508\) 15.9399 + 11.5810i 0.707218 + 0.513824i
\(509\) 7.58289 + 2.46383i 0.336106 + 0.109207i 0.472207 0.881488i \(-0.343457\pi\)
−0.136102 + 0.990695i \(0.543457\pi\)
\(510\) −30.7974 27.5516i −1.36373 1.22000i
\(511\) −17.9628 + 7.40733i −0.794629 + 0.327681i
\(512\) 0.809017 0.587785i 0.0357538 0.0259767i
\(513\) −0.539339 1.65991i −0.0238124 0.0732870i
\(514\) 8.99513 27.6842i 0.396758 1.22110i
\(515\) −1.90359 + 18.6884i −0.0838822 + 0.823511i
\(516\) 6.67944 0.294046
\(517\) 0.0287154 + 0.188651i 0.00126290 + 0.00829685i
\(518\) 12.2513 + 2.96170i 0.538293 + 0.130130i
\(519\) −22.8212 + 31.4107i −1.00174 + 1.37878i
\(520\) −0.258242 1.19604i −0.0113247 0.0524497i
\(521\) 19.2169 6.24394i 0.841906 0.273552i 0.143854 0.989599i \(-0.454050\pi\)
0.698052 + 0.716047i \(0.254050\pi\)
\(522\) 18.2305 + 25.0921i 0.797927 + 1.09825i
\(523\) −14.1000 19.4069i −0.616548 0.848606i 0.380548 0.924761i \(-0.375735\pi\)
−0.997096 + 0.0761555i \(0.975735\pi\)
\(524\) −3.24641 9.99144i −0.141820 0.436478i
\(525\) −35.0639 + 19.2587i −1.53031 + 0.840520i
\(526\) −5.71585 4.15281i −0.249223 0.181071i
\(527\) −27.4450 −1.19552
\(528\) 7.04921 + 7.13467i 0.306778 + 0.310496i
\(529\) −41.0274 −1.78380
\(530\) 29.7227 + 3.02753i 1.29107 + 0.131508i
\(531\) 34.3891 + 11.1737i 1.49236 + 0.484897i
\(532\) 0.484095 0.0373320i 0.0209882 0.00161855i
\(533\) 3.58386 + 4.93277i 0.155234 + 0.213662i
\(534\) 2.71500 + 3.73688i 0.117490 + 0.161711i
\(535\) 3.78256 4.22818i 0.163534 0.182800i
\(536\) −9.14516 2.97144i −0.395011 0.128347i
\(537\) −12.2528 8.90219i −0.528748 0.384158i
\(538\) 0.860880i 0.0371152i
\(539\) −18.9068 + 13.4734i −0.814376 + 0.580338i
\(540\) 10.6923 + 18.3831i 0.460124 + 0.791081i
\(541\) 8.10276 11.1525i 0.348365 0.479483i −0.598496 0.801126i \(-0.704235\pi\)
0.946861 + 0.321642i \(0.104235\pi\)
\(542\) 4.00444 12.3244i 0.172006 0.529379i
\(543\) −42.9467 + 13.9542i −1.84302 + 0.598834i
\(544\) −3.59196 4.94391i −0.154004 0.211968i
\(545\) 11.9417 27.0550i 0.511528 1.15891i
\(546\) −0.336634 4.36523i −0.0144066 0.186814i
\(547\) −1.52982 + 4.70831i −0.0654105 + 0.201313i −0.978420 0.206625i \(-0.933752\pi\)
0.913010 + 0.407938i \(0.133752\pi\)
\(548\) 2.14585 2.95350i 0.0916660 0.126167i
\(549\) −30.2382 −1.29054
\(550\) −9.03733 13.9042i −0.385353 0.592877i
\(551\) 0.926249i 0.0394595i
\(552\) −14.2231 + 19.5764i −0.605374 + 0.833226i
\(553\) −5.28001 + 8.58582i −0.224529 + 0.365106i
\(554\) 2.64327 + 8.13515i 0.112302 + 0.345629i
\(555\) −13.0081 + 29.4708i −0.552161 + 1.25097i
\(556\) 1.76744 1.28412i 0.0749563 0.0544589i
\(557\) −13.0157 40.0583i −0.551494 1.69732i −0.705026 0.709181i \(-0.749065\pi\)
0.153532 0.988144i \(-0.450935\pi\)
\(558\) 26.2469 + 8.52813i 1.11112 + 0.361024i
\(559\) 0.710430 0.977823i 0.0300480 0.0413575i
\(560\) −5.66970 + 1.68953i −0.239588 + 0.0713958i
\(561\) 43.6000 43.0778i 1.84079 1.81875i
\(562\) 26.9938i 1.13867i
\(563\) 17.1541 23.6105i 0.722958 0.995066i −0.276463 0.961025i \(-0.589162\pi\)
0.999420 0.0340412i \(-0.0108377\pi\)
\(564\) −0.0537662 + 0.165475i −0.00226397 + 0.00696778i
\(565\) −5.80719 5.19515i −0.244310 0.218562i
\(566\) −1.67321 2.30298i −0.0703304 0.0968015i
\(567\) 10.4151 + 25.2566i 0.437391 + 1.06068i
\(568\) 0.101923 + 0.313686i 0.00427658 + 0.0131620i
\(569\) 14.6092 + 4.74682i 0.612449 + 0.198997i 0.598785 0.800910i \(-0.295650\pi\)
0.0136643 + 0.999907i \(0.495650\pi\)
\(570\) −0.125749 + 1.23454i −0.00526704 + 0.0517091i
\(571\) 21.3041i 0.891548i −0.895146 0.445774i \(-0.852928\pi\)
0.895146 0.445774i \(-0.147072\pi\)
\(572\) 1.79422 0.273107i 0.0750202 0.0114192i
\(573\) −22.9894 −0.960395
\(574\) 22.4469 19.1104i 0.936917 0.797654i
\(575\) 29.5596 26.9613i 1.23272 1.12436i
\(576\) 1.89891 + 5.84423i 0.0791211 + 0.243510i
\(577\) −3.60275 + 2.61755i −0.149984 + 0.108970i −0.660247 0.751049i \(-0.729548\pi\)
0.510262 + 0.860019i \(0.329548\pi\)
\(578\) −16.4590 + 11.9581i −0.684603 + 0.497393i
\(579\) −20.4230 62.8554i −0.848749 2.61218i
\(580\) −2.38194 11.0319i −0.0989048 0.458074i
\(581\) 9.16785 + 10.7685i 0.380346 + 0.446751i
\(582\) −33.5202 −1.38946
\(583\) −7.19580 + 43.7259i −0.298019 + 1.81094i
\(584\) 7.34392i 0.303894i
\(585\) 7.48029 + 0.761936i 0.309272 + 0.0315022i
\(586\) −10.9571 3.56019i −0.452636 0.147070i
\(587\) −7.52973 23.1741i −0.310785 0.956499i −0.977455 0.211145i \(-0.932281\pi\)
0.666669 0.745354i \(-0.267719\pi\)
\(588\) −20.9182 + 3.24560i −0.862651 + 0.133846i
\(589\) 0.484438 + 0.666771i 0.0199609 + 0.0274738i
\(590\) −9.80625 8.77274i −0.403717 0.361168i
\(591\) −10.6516 + 32.7823i −0.438149 + 1.34848i
\(592\) −2.80018 + 3.85412i −0.115087 + 0.158403i
\(593\) 28.1425i 1.15567i 0.816153 + 0.577836i \(0.196103\pi\)
−0.816153 + 0.577836i \(0.803897\pi\)
\(594\) −28.1910 + 14.1508i −1.15669 + 0.580613i
\(595\) 10.3248 + 34.6476i 0.423274 + 1.42041i
\(596\) 3.29150 4.53036i 0.134825 0.185571i
\(597\) 75.2594 + 24.4533i 3.08016 + 1.00081i
\(598\) 1.35307 + 4.16431i 0.0553310 + 0.170291i
\(599\) 13.6082 9.88694i 0.556016 0.403970i −0.273982 0.961735i \(-0.588341\pi\)
0.829999 + 0.557765i \(0.188341\pi\)
\(600\) −1.67703 15.0270i −0.0684646 0.613477i
\(601\) 2.49492 + 7.67857i 0.101770 + 0.313215i 0.988959 0.148191i \(-0.0473450\pi\)
−0.887189 + 0.461406i \(0.847345\pi\)
\(602\) −4.97787 3.06124i −0.202883 0.124767i
\(603\) 34.7316 47.8039i 1.41438 1.94673i
\(604\) 0.680534i 0.0276905i
\(605\) 21.4093 12.1096i 0.870411 0.492326i
\(606\) −38.8978 −1.58011
\(607\) −2.15762 + 2.96971i −0.0875752 + 0.120537i −0.850557 0.525884i \(-0.823735\pi\)
0.762981 + 0.646420i \(0.223735\pi\)
\(608\) −0.0567089 + 0.174532i −0.00229985 + 0.00707821i
\(609\) −3.10501 40.2635i −0.125821 1.63156i
\(610\) 10.0663 + 4.44312i 0.407571 + 0.179897i
\(611\) 0.0185058 + 0.0254711i 0.000748665 + 0.00103045i
\(612\) 35.7141 11.6042i 1.44366 0.469073i
\(613\) 13.8611 42.6600i 0.559843 1.72302i −0.122953 0.992412i \(-0.539237\pi\)
0.682797 0.730608i \(-0.260763\pi\)
\(614\) 4.81661 6.62950i 0.194383 0.267545i
\(615\) 37.8819 + 65.1296i 1.52755 + 2.62628i
\(616\) −1.98357 8.54783i −0.0799204 0.344402i
\(617\) 38.2963i 1.54175i 0.636987 + 0.770875i \(0.280181\pi\)
−0.636987 + 0.770875i \(0.719819\pi\)
\(618\) −20.5532 14.9327i −0.826769 0.600683i
\(619\) 0.797554 + 0.259141i 0.0320564 + 0.0104158i 0.325001 0.945714i \(-0.394635\pi\)
−0.292945 + 0.956129i \(0.594635\pi\)
\(620\) −7.48446 6.69565i −0.300583 0.268904i
\(621\) −44.7314 61.5674i −1.79501 2.47062i
\(622\) −8.85507 12.1880i −0.355056 0.488693i
\(623\) −0.310722 4.02922i −0.0124488 0.161427i
\(624\) 1.57381 + 0.511361i 0.0630027 + 0.0204708i
\(625\) −2.29370 + 24.8946i −0.0917480 + 0.995782i
\(626\) 17.3711 0.694289
\(627\) −1.81616 0.298878i −0.0725305 0.0119361i
\(628\) −22.9604 −0.916221
\(629\) 23.5526 + 17.1119i 0.939102 + 0.682298i
\(630\) 0.892198 36.3433i 0.0355460 1.44795i
\(631\) 5.38408 + 16.5705i 0.214337 + 0.659661i 0.999200 + 0.0399916i \(0.0127331\pi\)
−0.784863 + 0.619669i \(0.787267\pi\)
\(632\) −2.23926 3.08208i −0.0890731 0.122599i
\(633\) −29.6961 40.8732i −1.18031 1.62456i
\(634\) 7.68066 2.49560i 0.305038 0.0991129i
\(635\) 43.0644 9.29822i 1.70896 0.368989i
\(636\) −23.7495 + 32.6884i −0.941730 + 1.29618i
\(637\) −1.74974 + 3.40748i −0.0693272 + 0.135009i
\(638\) 16.5494 2.51905i 0.655196 0.0997303i
\(639\) −2.02680 −0.0801788
\(640\) 0.226592 2.22456i 0.00895682 0.0879334i
\(641\) 10.2392 31.5129i 0.404422 1.24468i −0.516954 0.856013i \(-0.672934\pi\)
0.921377 0.388671i \(-0.127066\pi\)
\(642\) 2.37093 + 7.29696i 0.0935730 + 0.287988i
\(643\) 7.87175 5.71916i 0.310431 0.225542i −0.421650 0.906759i \(-0.638549\pi\)
0.732082 + 0.681217i \(0.238549\pi\)
\(644\) 19.5718 8.07080i 0.771236 0.318034i
\(645\) 9.95824 11.1314i 0.392105 0.438299i
\(646\) 1.06657 + 0.346549i 0.0419635 + 0.0136348i
\(647\) 2.75076 + 1.99855i 0.108144 + 0.0785710i 0.640543 0.767922i \(-0.278709\pi\)
−0.532399 + 0.846493i \(0.678709\pi\)
\(648\) −10.3259 −0.405640
\(649\) 13.8827 13.7165i 0.544945 0.538418i
\(650\) −2.37822 1.35278i −0.0932816 0.0530604i
\(651\) −23.2934 27.3602i −0.912941 1.07233i
\(652\) −15.9827 5.19310i −0.625931 0.203377i
\(653\) −21.7037 + 7.05197i −0.849333 + 0.275965i −0.701167 0.712997i \(-0.747337\pi\)
−0.148166 + 0.988962i \(0.547337\pi\)
\(654\) 23.5085 + 32.3566i 0.919254 + 1.26525i
\(655\) −21.4909 9.48581i −0.839720 0.370641i
\(656\) 3.44319 + 10.5971i 0.134434 + 0.413746i
\(657\) 42.9196 + 13.9454i 1.67445 + 0.544062i
\(658\) 0.115908 0.0986795i 0.00451857 0.00384693i
\(659\) 17.6702i 0.688333i 0.938909 + 0.344166i \(0.111838\pi\)
−0.938909 + 0.344166i \(0.888162\pi\)
\(660\) 22.3996 1.11072i 0.871902 0.0432346i
\(661\) 17.8056i 0.692556i 0.938132 + 0.346278i \(0.112555\pi\)
−0.938132 + 0.346278i \(0.887445\pi\)
\(662\) 22.7393 + 16.5211i 0.883789 + 0.642111i
\(663\) 3.12493 9.61755i 0.121362 0.373515i
\(664\) −5.08373 + 1.65180i −0.197287 + 0.0641024i
\(665\) 0.659512 0.862410i 0.0255748 0.0334428i
\(666\) −17.2071 23.6835i −0.666761 0.917718i
\(667\) 12.4803 + 38.4103i 0.483238 + 1.48725i
\(668\) 19.3177 + 6.27671i 0.747425 + 0.242853i
\(669\) 32.8001 + 23.8307i 1.26812 + 0.921346i
\(670\) −18.5863 + 10.8105i −0.718051 + 0.417647i
\(671\) −7.49679 + 14.4967i −0.289410 + 0.559639i
\(672\) 1.88003 7.77691i 0.0725238 0.300001i
\(673\) 23.3139 + 16.9385i 0.898685 + 0.652933i 0.938128 0.346289i \(-0.112558\pi\)
−0.0394428 + 0.999222i \(0.512558\pi\)
\(674\) 7.35825 22.6464i 0.283429 0.872305i
\(675\) 46.5766 + 9.58800i 1.79274 + 0.369042i
\(676\) −10.2750 + 7.46520i −0.395191 + 0.287123i
\(677\) −8.05683 11.0893i −0.309649 0.426196i 0.625623 0.780126i \(-0.284845\pi\)
−0.935272 + 0.353930i \(0.884845\pi\)
\(678\) 10.0220 3.25634i 0.384892 0.125059i
\(679\) 24.9810 + 15.3626i 0.958684 + 0.589561i
\(680\) −13.5943 1.38470i −0.521317 0.0531010i
\(681\) 4.68646i 0.179586i
\(682\) 10.5958 10.4689i 0.405733 0.400873i
\(683\) 20.0456i 0.767024i −0.923536 0.383512i \(-0.874715\pi\)
0.923536 0.383512i \(-0.125285\pi\)
\(684\) −0.912321 0.662840i −0.0348834 0.0253443i
\(685\) −1.72287 7.97941i −0.0658275 0.304877i
\(686\) 17.0768 + 7.16816i 0.651996 + 0.273682i
\(687\) 18.9556 + 26.0901i 0.723201 + 0.995400i
\(688\) 1.78692 1.29828i 0.0681259 0.0494963i
\(689\) 2.25934 + 6.95352i 0.0860738 + 0.264908i
\(690\) 11.4195 + 52.8890i 0.434733 + 2.01345i
\(691\) 10.7938 14.8563i 0.410614 0.565162i −0.552754 0.833344i \(-0.686423\pi\)
0.963368 + 0.268183i \(0.0864231\pi\)
\(692\) 12.8389i 0.488062i
\(693\) 53.7221 + 4.63907i 2.04073 + 0.176224i
\(694\) 35.9132 1.36325
\(695\) 0.495030 4.85995i 0.0187776 0.184348i
\(696\) 14.5163 + 4.71664i 0.550240 + 0.178784i
\(697\) 64.7587 21.0414i 2.45291 0.796999i
\(698\) −6.41281 + 4.65918i −0.242728 + 0.176353i
\(699\) 16.6299 12.0824i 0.629002 0.456997i
\(700\) −5.63719 + 11.9675i −0.213066 + 0.452331i
\(701\) −16.9802 5.51720i −0.641334 0.208382i −0.0297445 0.999558i \(-0.509469\pi\)
−0.611589 + 0.791176i \(0.709469\pi\)
\(702\) −3.05902 + 4.21039i −0.115455 + 0.158911i
\(703\) 0.874252i 0.0329730i
\(704\) 3.27261 + 0.538560i 0.123341 + 0.0202978i
\(705\) 0.195609 + 0.336306i 0.00736706 + 0.0126660i
\(706\) 2.65895 + 1.93184i 0.100071 + 0.0727058i
\(707\) 28.9886 + 17.8271i 1.09023 + 0.670458i
\(708\) 16.9235 5.49879i 0.636025 0.206657i
\(709\) −22.6592 + 16.4629i −0.850986 + 0.618277i −0.925418 0.378949i \(-0.876286\pi\)
0.0744319 + 0.997226i \(0.476286\pi\)
\(710\) 0.674718 + 0.297812i 0.0253217 + 0.0111767i
\(711\) 22.2645 7.23419i 0.834986 0.271303i
\(712\) 1.45267 + 0.472000i 0.0544410 + 0.0176889i
\(713\) 29.0731 + 21.1228i 1.08880 + 0.791056i
\(714\) −47.5248 11.4889i −1.77857 0.429961i
\(715\) 2.21983 3.39727i 0.0830170 0.127051i
\(716\) −5.00826 −0.187167
\(717\) 12.7881 17.6014i 0.477582 0.657335i
\(718\) −19.1842 6.23332i −0.715948 0.232626i
\(719\) −22.7280 + 7.38477i −0.847611 + 0.275405i −0.700445 0.713707i \(-0.747015\pi\)
−0.147166 + 0.989112i \(0.547015\pi\)
\(720\) 12.5705 + 5.54848i 0.468477 + 0.206780i
\(721\) 8.47350 + 20.5483i 0.315570 + 0.765260i
\(722\) 5.86092 + 18.0380i 0.218121 + 0.671307i
\(723\) 17.7061 54.4937i 0.658496 2.02664i
\(724\) −8.77710 + 12.0806i −0.326198 + 0.448974i
\(725\) −21.9360 12.4776i −0.814683 0.463408i
\(726\) −0.400803 + 33.2623i −0.0148752 + 1.23448i
\(727\) 31.6705 1.17460 0.587298 0.809371i \(-0.300192\pi\)
0.587298 + 0.809371i \(0.300192\pi\)
\(728\) −0.938524 1.10238i −0.0347840 0.0408570i
\(729\) −7.05488 + 21.7127i −0.261292 + 0.804173i
\(730\) −12.2388 10.9489i −0.452977 0.405237i
\(731\) −7.93378 10.9199i −0.293441 0.403888i
\(732\) −12.0388 + 8.74673i −0.444968 + 0.323288i
\(733\) −33.4533 + 10.8696i −1.23562 + 0.401479i −0.852749 0.522321i \(-0.825066\pi\)
−0.382876 + 0.923800i \(0.625066\pi\)
\(734\) −6.38721 + 19.6578i −0.235756 + 0.725583i
\(735\) −25.7776 + 39.6993i −0.950822 + 1.46433i
\(736\) 8.00171i 0.294947i
\(737\) −14.3072 28.5027i −0.527012 1.04991i
\(738\) −68.4699 −2.52041
\(739\) 4.38429 6.03445i 0.161279 0.221981i −0.720728 0.693218i \(-0.756192\pi\)
0.882007 + 0.471237i \(0.156192\pi\)
\(740\) 2.24823 + 10.4126i 0.0826465 + 0.382774i
\(741\) −0.288816 + 0.0938419i −0.0106099 + 0.00344737i
\(742\) 32.6807 13.4765i 1.19975 0.494739i
\(743\) 16.3919 11.9094i 0.601362 0.436915i −0.245000 0.969523i \(-0.578788\pi\)
0.846362 + 0.532608i \(0.178788\pi\)
\(744\) 12.9166 4.19686i 0.473546 0.153864i
\(745\) −2.64270 12.2396i −0.0968209 0.448422i
\(746\) 7.71749 + 5.60708i 0.282557 + 0.205290i
\(747\) 32.8471i 1.20181i
\(748\) 3.29115 19.9989i 0.120336 0.731233i
\(749\) 1.57731 6.52469i 0.0576337 0.238407i
\(750\) −27.5431 19.6087i −1.00573 0.716009i
\(751\) −3.90941 + 12.0319i −0.142656 + 0.439051i −0.996702 0.0811465i \(-0.974142\pi\)
0.854046 + 0.520198i \(0.174142\pi\)
\(752\) 0.0177794 + 0.0547195i 0.000648350 + 0.00199541i
\(753\) −38.0282 52.3414i −1.38583 1.90743i
\(754\) 2.23445 1.62342i 0.0813738 0.0591215i
\(755\) −1.13412 1.01459i −0.0412749 0.0369249i
\(756\) 21.4341 + 13.1813i 0.779551 + 0.479400i
\(757\) 3.72903 5.13257i 0.135534 0.186547i −0.735855 0.677139i \(-0.763220\pi\)
0.871389 + 0.490592i \(0.163220\pi\)
\(758\) 19.3170 0.701624
\(759\) −79.3409 + 12.0768i −2.87989 + 0.438361i
\(760\) 0.206315 + 0.354712i 0.00748382 + 0.0128668i
\(761\) −11.5375 8.38248i −0.418234 0.303865i 0.358693 0.933456i \(-0.383223\pi\)
−0.776927 + 0.629591i \(0.783223\pi\)
\(762\) −18.4120 + 56.6663i −0.666997 + 2.05281i
\(763\) −2.69046 34.8880i −0.0974013 1.26303i
\(764\) −6.15026 + 4.46843i −0.222509 + 0.161662i
\(765\) 33.9068 76.8187i 1.22590 2.77739i
\(766\) −3.13832 9.65875i −0.113392 0.348985i
\(767\) 0.995014 3.06234i 0.0359279 0.110575i
\(768\) 2.44652 + 1.77750i 0.0882813 + 0.0641401i
\(769\) −43.4506 −1.56687 −0.783435 0.621474i \(-0.786534\pi\)
−0.783435 + 0.621474i \(0.786534\pi\)
\(770\) −17.2024 9.43812i −0.619931 0.340126i
\(771\) 88.0272 3.17022
\(772\) −17.6808 12.8459i −0.636347 0.462333i
\(773\) −10.1745 + 31.3138i −0.365950 + 1.12628i 0.583434 + 0.812160i \(0.