Properties

Label 43.2.e.a.16.1
Level $43$
Weight $2$
Character 43.16
Analytic conductor $0.343$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 43.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.343356728692\)
Analytic rank: \(0\)
Dimension: \(6\)
Coefficient field: \(\Q(\zeta_{14})\)
Defining polynomial: \(x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1\)
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 16.1
Root \(0.900969 + 0.433884i\) of defining polynomial
Character \(\chi\) \(=\) 43.16
Dual form 43.2.e.a.35.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0990311 - 0.433884i) q^{2} +(-0.400969 + 1.75676i) q^{3} +(1.62349 - 0.781831i) q^{4} +(-0.500000 - 0.626980i) q^{5} +0.801938 q^{6} -3.04892 q^{7} +(-1.05496 - 1.32288i) q^{8} +(-0.222521 - 0.107160i) q^{9} +O(q^{10})\) \(q+(-0.0990311 - 0.433884i) q^{2} +(-0.400969 + 1.75676i) q^{3} +(1.62349 - 0.781831i) q^{4} +(-0.500000 - 0.626980i) q^{5} +0.801938 q^{6} -3.04892 q^{7} +(-1.05496 - 1.32288i) q^{8} +(-0.222521 - 0.107160i) q^{9} +(-0.222521 + 0.279032i) q^{10} +(-4.77144 - 2.29780i) q^{11} +(0.722521 + 3.16557i) q^{12} +(2.46950 + 3.09666i) q^{13} +(0.301938 + 1.32288i) q^{14} +(1.30194 - 0.626980i) q^{15} +(1.77748 - 2.22889i) q^{16} +(-0.554958 + 0.695895i) q^{17} +(-0.0244587 + 0.107160i) q^{18} +(2.48039 - 1.19449i) q^{19} +(-1.30194 - 0.626980i) q^{20} +(1.22252 - 5.35621i) q^{21} +(-0.524459 + 2.29780i) q^{22} +(3.94989 + 1.90216i) q^{23} +(2.74698 - 1.32288i) q^{24} +(0.969501 - 4.24766i) q^{25} +(1.09903 - 1.37814i) q^{26} +(-3.09299 + 3.87849i) q^{27} +(-4.94989 + 2.38374i) q^{28} +(1.33513 + 5.84957i) q^{29} +(-0.400969 - 0.502799i) q^{30} +(1.54623 + 6.77447i) q^{31} +(-4.19202 - 2.01877i) q^{32} +(5.94989 - 7.46092i) q^{33} +(0.356896 + 0.171872i) q^{34} +(1.52446 + 1.91161i) q^{35} -0.445042 q^{36} -3.46681 q^{37} +(-0.763906 - 0.957907i) q^{38} +(-6.43027 + 3.09666i) q^{39} +(-0.301938 + 1.32288i) q^{40} +(-1.58211 - 6.93166i) q^{41} -2.44504 q^{42} +(-4.25786 - 4.98704i) q^{43} -9.54288 q^{44} +(0.0440730 + 0.193096i) q^{45} +(0.434157 - 1.90216i) q^{46} +(8.02930 - 3.86671i) q^{47} +(3.20291 + 4.01632i) q^{48} +2.29590 q^{49} -1.93900 q^{50} +(-1.00000 - 1.25396i) q^{51} +(6.43027 + 3.09666i) q^{52} +(-1.29105 + 1.61893i) q^{53} +(1.98911 + 0.957907i) q^{54} +(0.945042 + 4.14050i) q^{55} +(3.21648 + 4.03334i) q^{56} +(1.10388 + 4.83639i) q^{57} +(2.40581 - 1.15858i) q^{58} +(-0.538032 + 0.674671i) q^{59} +(1.62349 - 2.03579i) q^{60} +(0.307979 - 1.34934i) q^{61} +(2.78621 - 1.34177i) q^{62} +(0.678448 + 0.326723i) q^{63} +(0.807979 - 3.53999i) q^{64} +(0.706791 - 3.09666i) q^{65} +(-3.82640 - 1.84270i) q^{66} +(-6.04892 + 2.91301i) q^{67} +(-0.356896 + 1.56366i) q^{68} +(-4.92543 + 6.17629i) q^{69} +(0.678448 - 0.850747i) q^{70} +(14.9487 - 7.19891i) q^{71} +(0.0929903 + 0.407417i) q^{72} +(-7.76540 - 9.73750i) q^{73} +(0.343322 + 1.50419i) q^{74} +(7.07338 + 3.40636i) q^{75} +(3.09299 - 3.87849i) q^{76} +(14.5477 + 7.00581i) q^{77} +(1.98039 + 2.48333i) q^{78} -7.85086 q^{79} -2.28621 q^{80} +(-6.03534 - 7.56808i) q^{81} +(-2.85086 + 1.37290i) q^{82} +(-1.63922 + 7.18189i) q^{83} +(-2.20291 - 9.65156i) q^{84} +0.713792 q^{85} +(-1.74214 + 2.34129i) q^{86} -10.8116 q^{87} +(1.99396 + 8.73611i) q^{88} +(-3.13922 + 13.7538i) q^{89} +(0.0794168 - 0.0382451i) q^{90} +(-7.52930 - 9.44145i) q^{91} +7.89977 q^{92} -12.5211 q^{93} +(-2.47285 - 3.10086i) q^{94} +(-1.98911 - 0.957907i) q^{95} +(5.22737 - 6.55491i) q^{96} +(8.44989 + 4.06925i) q^{97} +(-0.227365 - 0.996152i) q^{98} +(0.815511 + 1.02262i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6 q - 5 q^{2} + 2 q^{3} + 5 q^{4} - 3 q^{5} - 4 q^{6} - 7 q^{8} - q^{9} + O(q^{10}) \) \( 6 q - 5 q^{2} + 2 q^{3} + 5 q^{4} - 3 q^{5} - 4 q^{6} - 7 q^{8} - q^{9} - q^{10} - 10 q^{11} + 4 q^{12} + 5 q^{13} - 7 q^{14} - q^{15} + 11 q^{16} - 4 q^{17} + 9 q^{18} + 2 q^{19} + q^{20} + 7 q^{21} + 6 q^{22} + q^{23} + 7 q^{24} - 4 q^{25} + 11 q^{26} - 4 q^{27} - 7 q^{28} + 6 q^{29} + 2 q^{30} - 6 q^{31} - 15 q^{32} + 13 q^{33} - 6 q^{34} - 2 q^{36} - 14 q^{37} - 11 q^{38} - 3 q^{39} + 7 q^{40} + 2 q^{41} - 14 q^{42} - 13 q^{43} - 20 q^{44} + 4 q^{45} + 5 q^{46} + 17 q^{47} + 6 q^{48} - 14 q^{49} + 8 q^{50} - 6 q^{51} + 3 q^{52} - 2 q^{53} + 15 q^{54} + 5 q^{55} - 11 q^{57} - 12 q^{58} + 12 q^{59} + 5 q^{60} + 12 q^{61} + 33 q^{62} + 15 q^{64} + 29 q^{65} - 5 q^{66} - 18 q^{67} + 6 q^{68} - 16 q^{69} + 26 q^{71} - 14 q^{72} - 9 q^{73} + 15 q^{75} + 4 q^{76} + 28 q^{77} - q^{78} - 20 q^{79} - 30 q^{80} - 24 q^{81} + 10 q^{82} + 20 q^{83} - 12 q^{85} - 23 q^{86} - 12 q^{87} - 7 q^{88} + 11 q^{89} - 8 q^{90} - 14 q^{91} + 2 q^{92} - 44 q^{93} - 27 q^{94} - 15 q^{95} + 9 q^{96} + 28 q^{97} + 21 q^{98} - 10 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{4}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0990311 0.433884i −0.0700256 0.306802i 0.927771 0.373150i \(-0.121722\pi\)
−0.997797 + 0.0663480i \(0.978865\pi\)
\(3\) −0.400969 + 1.75676i −0.231499 + 1.01427i 0.716897 + 0.697179i \(0.245562\pi\)
−0.948397 + 0.317087i \(0.897295\pi\)
\(4\) 1.62349 0.781831i 0.811745 0.390916i
\(5\) −0.500000 0.626980i −0.223607 0.280394i 0.657355 0.753581i \(-0.271675\pi\)
−0.880962 + 0.473187i \(0.843104\pi\)
\(6\) 0.801938 0.327390
\(7\) −3.04892 −1.15238 −0.576191 0.817315i \(-0.695462\pi\)
−0.576191 + 0.817315i \(0.695462\pi\)
\(8\) −1.05496 1.32288i −0.372984 0.467707i
\(9\) −0.222521 0.107160i −0.0741736 0.0357201i
\(10\) −0.222521 + 0.279032i −0.0703673 + 0.0882378i
\(11\) −4.77144 2.29780i −1.43864 0.692814i −0.458060 0.888921i \(-0.651456\pi\)
−0.980582 + 0.196107i \(0.937170\pi\)
\(12\) 0.722521 + 3.16557i 0.208574 + 0.913822i
\(13\) 2.46950 + 3.09666i 0.684916 + 0.858858i 0.995797 0.0915912i \(-0.0291953\pi\)
−0.310880 + 0.950449i \(0.600624\pi\)
\(14\) 0.301938 + 1.32288i 0.0806963 + 0.353553i
\(15\) 1.30194 0.626980i 0.336159 0.161886i
\(16\) 1.77748 2.22889i 0.444370 0.557222i
\(17\) −0.554958 + 0.695895i −0.134597 + 0.168779i −0.844562 0.535457i \(-0.820139\pi\)
0.709965 + 0.704237i \(0.248711\pi\)
\(18\) −0.0244587 + 0.107160i −0.00576496 + 0.0252580i
\(19\) 2.48039 1.19449i 0.569039 0.274035i −0.127161 0.991882i \(-0.540587\pi\)
0.696201 + 0.717847i \(0.254872\pi\)
\(20\) −1.30194 0.626980i −0.291122 0.140197i
\(21\) 1.22252 5.35621i 0.266776 1.16882i
\(22\) −0.524459 + 2.29780i −0.111815 + 0.489893i
\(23\) 3.94989 + 1.90216i 0.823608 + 0.396629i 0.797714 0.603036i \(-0.206042\pi\)
0.0258941 + 0.999665i \(0.491757\pi\)
\(24\) 2.74698 1.32288i 0.560725 0.270031i
\(25\) 0.969501 4.24766i 0.193900 0.849532i
\(26\) 1.09903 1.37814i 0.215538 0.270276i
\(27\) −3.09299 + 3.87849i −0.595246 + 0.746415i
\(28\) −4.94989 + 2.38374i −0.935441 + 0.450484i
\(29\) 1.33513 + 5.84957i 0.247927 + 1.08624i 0.933597 + 0.358325i \(0.116652\pi\)
−0.685670 + 0.727912i \(0.740491\pi\)
\(30\) −0.400969 0.502799i −0.0732066 0.0917981i
\(31\) 1.54623 + 6.77447i 0.277711 + 1.21673i 0.900679 + 0.434484i \(0.143069\pi\)
−0.622969 + 0.782247i \(0.714074\pi\)
\(32\) −4.19202 2.01877i −0.741052 0.356872i
\(33\) 5.94989 7.46092i 1.03574 1.29878i
\(34\) 0.356896 + 0.171872i 0.0612071 + 0.0294758i
\(35\) 1.52446 + 1.91161i 0.257681 + 0.323121i
\(36\) −0.445042 −0.0741736
\(37\) −3.46681 −0.569940 −0.284970 0.958536i \(-0.591984\pi\)
−0.284970 + 0.958536i \(0.591984\pi\)
\(38\) −0.763906 0.957907i −0.123922 0.155393i
\(39\) −6.43027 + 3.09666i −1.02967 + 0.495862i
\(40\) −0.301938 + 1.32288i −0.0477405 + 0.209165i
\(41\) −1.58211 6.93166i −0.247083 1.08254i −0.934411 0.356196i \(-0.884074\pi\)
0.687328 0.726347i \(-0.258783\pi\)
\(42\) −2.44504 −0.377278
\(43\) −4.25786 4.98704i −0.649318 0.760517i
\(44\) −9.54288 −1.43864
\(45\) 0.0440730 + 0.193096i 0.00657001 + 0.0287851i
\(46\) 0.434157 1.90216i 0.0640129 0.280459i
\(47\) 8.02930 3.86671i 1.17119 0.564017i 0.255861 0.966714i \(-0.417641\pi\)
0.915334 + 0.402696i \(0.131927\pi\)
\(48\) 3.20291 + 4.01632i 0.462300 + 0.579706i
\(49\) 2.29590 0.327985
\(50\) −1.93900 −0.274216
\(51\) −1.00000 1.25396i −0.140028 0.175590i
\(52\) 6.43027 + 3.09666i 0.891718 + 0.429429i
\(53\) −1.29105 + 1.61893i −0.177340 + 0.222377i −0.862555 0.505964i \(-0.831137\pi\)
0.685215 + 0.728341i \(0.259708\pi\)
\(54\) 1.98911 + 0.957907i 0.270684 + 0.130355i
\(55\) 0.945042 + 4.14050i 0.127429 + 0.558305i
\(56\) 3.21648 + 4.03334i 0.429820 + 0.538978i
\(57\) 1.10388 + 4.83639i 0.146212 + 0.640596i
\(58\) 2.40581 1.15858i 0.315899 0.152129i
\(59\) −0.538032 + 0.674671i −0.0700458 + 0.0878347i −0.815620 0.578588i \(-0.803604\pi\)
0.745574 + 0.666423i \(0.232175\pi\)
\(60\) 1.62349 2.03579i 0.209592 0.262820i
\(61\) 0.307979 1.34934i 0.0394326 0.172766i −0.951377 0.308029i \(-0.900331\pi\)
0.990810 + 0.135263i \(0.0431879\pi\)
\(62\) 2.78621 1.34177i 0.353849 0.170405i
\(63\) 0.678448 + 0.326723i 0.0854764 + 0.0411633i
\(64\) 0.807979 3.53999i 0.100997 0.442498i
\(65\) 0.706791 3.09666i 0.0876667 0.384093i
\(66\) −3.82640 1.84270i −0.470997 0.226820i
\(67\) −6.04892 + 2.91301i −0.738993 + 0.355880i −0.765214 0.643776i \(-0.777367\pi\)
0.0262212 + 0.999656i \(0.491653\pi\)
\(68\) −0.356896 + 1.56366i −0.0432800 + 0.189622i
\(69\) −4.92543 + 6.17629i −0.592952 + 0.743538i
\(70\) 0.678448 0.850747i 0.0810900 0.101684i
\(71\) 14.9487 7.19891i 1.77408 0.854353i 0.811047 0.584981i \(-0.198898\pi\)
0.963036 0.269372i \(-0.0868162\pi\)
\(72\) 0.0929903 + 0.407417i 0.0109590 + 0.0480146i
\(73\) −7.76540 9.73750i −0.908871 1.13969i −0.989728 0.142963i \(-0.954337\pi\)
0.0808571 0.996726i \(-0.474234\pi\)
\(74\) 0.343322 + 1.50419i 0.0399104 + 0.174859i
\(75\) 7.07338 + 3.40636i 0.816763 + 0.393332i
\(76\) 3.09299 3.87849i 0.354790 0.444893i
\(77\) 14.5477 + 7.00581i 1.65787 + 0.798387i
\(78\) 1.98039 + 2.48333i 0.224235 + 0.281181i
\(79\) −7.85086 −0.883290 −0.441645 0.897190i \(-0.645605\pi\)
−0.441645 + 0.897190i \(0.645605\pi\)
\(80\) −2.28621 −0.255606
\(81\) −6.03534 7.56808i −0.670594 0.840898i
\(82\) −2.85086 + 1.37290i −0.314824 + 0.151611i
\(83\) −1.63922 + 7.18189i −0.179928 + 0.788315i 0.801734 + 0.597681i \(0.203911\pi\)
−0.981661 + 0.190633i \(0.938946\pi\)
\(84\) −2.20291 9.65156i −0.240357 1.05307i
\(85\) 0.713792 0.0774216
\(86\) −1.74214 + 2.34129i −0.187859 + 0.252468i
\(87\) −10.8116 −1.15913
\(88\) 1.99396 + 8.73611i 0.212557 + 0.931272i
\(89\) −3.13922 + 13.7538i −0.332757 + 1.45790i 0.481013 + 0.876714i \(0.340269\pi\)
−0.813769 + 0.581188i \(0.802588\pi\)
\(90\) 0.0794168 0.0382451i 0.00837127 0.00403139i
\(91\) −7.52930 9.44145i −0.789285 0.989733i
\(92\) 7.89977 0.823608
\(93\) −12.5211 −1.29838
\(94\) −2.47285 3.10086i −0.255055 0.319829i
\(95\) −1.98911 0.957907i −0.204079 0.0982792i
\(96\) 5.22737 6.55491i 0.533516 0.669008i
\(97\) 8.44989 + 4.06925i 0.857956 + 0.413170i 0.810525 0.585705i \(-0.199182\pi\)
0.0474314 + 0.998874i \(0.484896\pi\)
\(98\) −0.227365 0.996152i −0.0229674 0.100627i
\(99\) 0.815511 + 1.02262i 0.0819620 + 0.102777i
\(100\) −1.74698 7.65402i −0.174698 0.765402i
\(101\) −11.2811 + 5.43270i −1.12251 + 0.540574i −0.900668 0.434507i \(-0.856922\pi\)
−0.221846 + 0.975082i \(0.571208\pi\)
\(102\) −0.445042 + 0.558065i −0.0440657 + 0.0552567i
\(103\) 2.73341 3.42758i 0.269331 0.337730i −0.628712 0.777638i \(-0.716418\pi\)
0.898043 + 0.439908i \(0.144989\pi\)
\(104\) 1.49127 6.53368i 0.146231 0.640680i
\(105\) −3.96950 + 1.91161i −0.387384 + 0.186554i
\(106\) 0.830281 + 0.399842i 0.0806440 + 0.0388361i
\(107\) −0.143104 + 0.626980i −0.0138344 + 0.0606125i −0.981374 0.192107i \(-0.938468\pi\)
0.967540 + 0.252720i \(0.0813250\pi\)
\(108\) −1.98911 + 8.71488i −0.191403 + 0.838590i
\(109\) 1.69202 + 0.814835i 0.162066 + 0.0780470i 0.513158 0.858294i \(-0.328475\pi\)
−0.351092 + 0.936341i \(0.614190\pi\)
\(110\) 1.70291 0.820077i 0.162366 0.0781912i
\(111\) 1.39008 6.09035i 0.131941 0.578071i
\(112\) −5.41939 + 6.79570i −0.512084 + 0.642133i
\(113\) 7.87382 9.87346i 0.740707 0.928817i −0.258602 0.965984i \(-0.583262\pi\)
0.999309 + 0.0371669i \(0.0118333\pi\)
\(114\) 1.98911 0.957907i 0.186298 0.0897162i
\(115\) −0.782323 3.42758i −0.0729520 0.319624i
\(116\) 6.74094 + 8.45287i 0.625880 + 0.784829i
\(117\) −0.217677 0.953703i −0.0201242 0.0881699i
\(118\) 0.346011 + 0.166630i 0.0318529 + 0.0153395i
\(119\) 1.69202 2.12173i 0.155107 0.194498i
\(120\) −2.20291 1.06086i −0.201097 0.0968432i
\(121\) 10.6283 + 13.3275i 0.966212 + 1.21159i
\(122\) −0.615957 −0.0557661
\(123\) 12.8116 1.15519
\(124\) 7.80678 + 9.78940i 0.701070 + 0.879114i
\(125\) −6.76055 + 3.25571i −0.604682 + 0.291200i
\(126\) 0.0745725 0.326723i 0.00664344 0.0291068i
\(127\) −1.60603 7.03648i −0.142512 0.624387i −0.994847 0.101390i \(-0.967671\pi\)
0.852335 0.522997i \(-0.175186\pi\)
\(128\) −10.9215 −0.965337
\(129\) 10.4683 5.48040i 0.921683 0.482522i
\(130\) −1.41358 −0.123979
\(131\) 2.03199 + 8.90274i 0.177536 + 0.777836i 0.982763 + 0.184869i \(0.0591862\pi\)
−0.805227 + 0.592966i \(0.797957\pi\)
\(132\) 3.82640 16.7645i 0.333045 1.45917i
\(133\) −7.56249 + 3.64190i −0.655751 + 0.315793i
\(134\) 1.86294 + 2.33605i 0.160933 + 0.201804i
\(135\) 3.97823 0.342392
\(136\) 1.50604 0.129142
\(137\) −3.79859 4.76328i −0.324535 0.406954i 0.592622 0.805481i \(-0.298093\pi\)
−0.917157 + 0.398527i \(0.869522\pi\)
\(138\) 3.16756 + 1.52542i 0.269641 + 0.129852i
\(139\) 4.45593 5.58756i 0.377947 0.473930i −0.556082 0.831127i \(-0.687696\pi\)
0.934029 + 0.357197i \(0.116268\pi\)
\(140\) 3.96950 + 1.91161i 0.335484 + 0.161561i
\(141\) 3.57338 + 15.6560i 0.300933 + 1.31847i
\(142\) −4.60388 5.77308i −0.386349 0.484466i
\(143\) −4.66756 20.4499i −0.390321 1.71011i
\(144\) −0.634375 + 0.305499i −0.0528646 + 0.0254582i
\(145\) 3.00000 3.76188i 0.249136 0.312407i
\(146\) −3.45593 + 4.33360i −0.286015 + 0.358651i
\(147\) −0.920583 + 4.03334i −0.0759284 + 0.332664i
\(148\) −5.62833 + 2.71046i −0.462646 + 0.222799i
\(149\) 4.00484 + 1.92863i 0.328090 + 0.158000i 0.590676 0.806909i \(-0.298861\pi\)
−0.262586 + 0.964909i \(0.584575\pi\)
\(150\) 0.777479 3.40636i 0.0634809 0.278128i
\(151\) −3.16003 + 13.8450i −0.257160 + 1.12669i 0.667113 + 0.744957i \(0.267530\pi\)
−0.924273 + 0.381733i \(0.875327\pi\)
\(152\) −4.19687 2.02110i −0.340411 0.163933i
\(153\) 0.198062 0.0953818i 0.0160124 0.00771116i
\(154\) 1.59903 7.00581i 0.128854 0.564545i
\(155\) 3.47434 4.35669i 0.279066 0.349938i
\(156\) −8.01842 + 10.0548i −0.641987 + 0.805027i
\(157\) 6.70560 3.22924i 0.535165 0.257722i −0.146724 0.989177i \(-0.546873\pi\)
0.681889 + 0.731456i \(0.261159\pi\)
\(158\) 0.777479 + 3.40636i 0.0618529 + 0.270995i
\(159\) −2.32640 2.91721i −0.184495 0.231350i
\(160\) 0.830281 + 3.63770i 0.0656395 + 0.287585i
\(161\) −12.0429 5.79954i −0.949112 0.457068i
\(162\) −2.68598 + 3.36811i −0.211031 + 0.264624i
\(163\) 3.01573 + 1.45230i 0.236210 + 0.113753i 0.548245 0.836318i \(-0.315296\pi\)
−0.312035 + 0.950071i \(0.601010\pi\)
\(164\) −7.98792 10.0165i −0.623752 0.782160i
\(165\) −7.65279 −0.595769
\(166\) 3.27844 0.254456
\(167\) −1.26995 1.59246i −0.0982714 0.123228i 0.730264 0.683165i \(-0.239397\pi\)
−0.828536 + 0.559936i \(0.810826\pi\)
\(168\) −8.37531 + 4.03334i −0.646169 + 0.311179i
\(169\) −0.598072 + 2.62032i −0.0460055 + 0.201563i
\(170\) −0.0706876 0.309703i −0.00542149 0.0237531i
\(171\) −0.679940 −0.0519963
\(172\) −10.8116 4.76748i −0.824379 0.363517i
\(173\) 1.02715 0.0780925 0.0390463 0.999237i \(-0.487568\pi\)
0.0390463 + 0.999237i \(0.487568\pi\)
\(174\) 1.07069 + 4.69099i 0.0811686 + 0.355623i
\(175\) −2.95593 + 12.9508i −0.223447 + 0.978986i
\(176\) −13.6027 + 6.55070i −1.02534 + 0.493778i
\(177\) −0.969501 1.21572i −0.0728721 0.0913788i
\(178\) 6.27844 0.470589
\(179\) 9.75600 0.729198 0.364599 0.931165i \(-0.381206\pi\)
0.364599 + 0.931165i \(0.381206\pi\)
\(180\) 0.222521 + 0.279032i 0.0165857 + 0.0207978i
\(181\) −7.55980 3.64061i −0.561916 0.270604i 0.131290 0.991344i \(-0.458088\pi\)
−0.693206 + 0.720740i \(0.743802\pi\)
\(182\) −3.35086 + 4.20184i −0.248382 + 0.311461i
\(183\) 2.24698 + 1.08209i 0.166102 + 0.0799903i
\(184\) −1.65064 7.23191i −0.121687 0.533144i
\(185\) 1.73341 + 2.17362i 0.127443 + 0.159808i
\(186\) 1.23998 + 5.43270i 0.0909197 + 0.398345i
\(187\) 4.24698 2.04524i 0.310570 0.149563i
\(188\) 10.0124 12.5551i 0.730228 0.915677i
\(189\) 9.43027 11.8252i 0.685951 0.860156i
\(190\) −0.218636 + 0.957907i −0.0158615 + 0.0694939i
\(191\) 12.3056 5.92606i 0.890401 0.428794i 0.0679884 0.997686i \(-0.478342\pi\)
0.822413 + 0.568892i \(0.192628\pi\)
\(192\) 5.89493 + 2.83885i 0.425430 + 0.204876i
\(193\) −0.909698 + 3.98565i −0.0654815 + 0.286893i −0.997058 0.0766525i \(-0.975577\pi\)
0.931576 + 0.363546i \(0.118434\pi\)
\(194\) 0.928780 4.06925i 0.0666825 0.292155i
\(195\) 5.15668 + 2.48333i 0.369277 + 0.177835i
\(196\) 3.72737 1.79500i 0.266240 0.128215i
\(197\) −1.90970 + 8.36693i −0.136060 + 0.596119i 0.860218 + 0.509926i \(0.170327\pi\)
−0.996278 + 0.0861931i \(0.972530\pi\)
\(198\) 0.362937 0.455108i 0.0257928 0.0323431i
\(199\) −3.55980 + 4.46385i −0.252348 + 0.316434i −0.891829 0.452373i \(-0.850578\pi\)
0.639481 + 0.768807i \(0.279149\pi\)
\(200\) −6.64191 + 3.19857i −0.469654 + 0.226173i
\(201\) −2.69202 11.7945i −0.189881 0.831921i
\(202\) 3.47434 + 4.35669i 0.244454 + 0.306536i
\(203\) −4.07069 17.8348i −0.285706 1.25176i
\(204\) −2.60388 1.25396i −0.182308 0.0877948i
\(205\) −3.55496 + 4.45778i −0.248289 + 0.311345i
\(206\) −1.75786 0.846543i −0.122476 0.0589814i
\(207\) −0.675096 0.846543i −0.0469224 0.0588388i
\(208\) 11.2916 0.782931
\(209\) −14.5797 −1.00850
\(210\) 1.22252 + 1.53299i 0.0843620 + 0.105787i
\(211\) 17.2594 8.31167i 1.18818 0.572199i 0.267898 0.963447i \(-0.413671\pi\)
0.920285 + 0.391248i \(0.127957\pi\)
\(212\) −0.830281 + 3.63770i −0.0570240 + 0.249838i
\(213\) 6.65279 + 29.1478i 0.455842 + 1.99717i
\(214\) 0.286208 0.0195648
\(215\) −0.997844 + 5.16312i −0.0680524 + 0.352122i
\(216\) 8.39373 0.571121
\(217\) −4.71432 20.6548i −0.320029 1.40214i
\(218\) 0.185981 0.814835i 0.0125962 0.0551876i
\(219\) 20.2201 9.73750i 1.36635 0.657999i
\(220\) 4.77144 + 5.98319i 0.321690 + 0.403387i
\(221\) −3.52542 −0.237145
\(222\) −2.78017 −0.186593
\(223\) 0.0643513 + 0.0806940i 0.00430928 + 0.00540367i 0.783981 0.620784i \(-0.213186\pi\)
−0.779672 + 0.626188i \(0.784614\pi\)
\(224\) 12.7811 + 6.15507i 0.853975 + 0.411253i
\(225\) −0.670915 + 0.841301i −0.0447277 + 0.0560867i
\(226\) −5.06369 2.43854i −0.336831 0.162209i
\(227\) −2.97166 13.0197i −0.197236 0.864146i −0.972573 0.232599i \(-0.925277\pi\)
0.775337 0.631548i \(-0.217580\pi\)
\(228\) 5.57338 + 6.98879i 0.369106 + 0.462844i
\(229\) 6.31671 + 27.6753i 0.417420 + 1.82884i 0.546829 + 0.837244i \(0.315835\pi\)
−0.129409 + 0.991591i \(0.541308\pi\)
\(230\) −1.40970 + 0.678875i −0.0929527 + 0.0447637i
\(231\) −18.1407 + 22.7477i −1.19357 + 1.49669i
\(232\) 6.32975 7.93725i 0.415568 0.521106i
\(233\) −2.43967 + 10.6889i −0.159828 + 0.700251i 0.829974 + 0.557802i \(0.188355\pi\)
−0.989802 + 0.142450i \(0.954502\pi\)
\(234\) −0.392240 + 0.188893i −0.0256415 + 0.0123483i
\(235\) −6.43900 3.10086i −0.420034 0.202278i
\(236\) −0.346011 + 1.51597i −0.0225234 + 0.0986814i
\(237\) 3.14795 13.7921i 0.204481 0.895891i
\(238\) −1.08815 0.524023i −0.0705340 0.0339674i
\(239\) −17.4976 + 8.42640i −1.13183 + 0.545059i −0.903527 0.428532i \(-0.859031\pi\)
−0.228300 + 0.973591i \(0.573317\pi\)
\(240\) 0.916698 4.01632i 0.0591726 0.259252i
\(241\) −2.17845 + 2.73169i −0.140326 + 0.175963i −0.847028 0.531548i \(-0.821611\pi\)
0.706702 + 0.707511i \(0.250182\pi\)
\(242\) 4.73005 5.93130i 0.304059 0.381278i
\(243\) 2.30678 1.11089i 0.147980 0.0712635i
\(244\) −0.554958 2.43143i −0.0355276 0.155656i
\(245\) −1.14795 1.43948i −0.0733397 0.0919651i
\(246\) −1.26875 5.55876i −0.0808925 0.354413i
\(247\) 9.82424 + 4.73110i 0.625101 + 0.301033i
\(248\) 7.33058 9.19225i 0.465492 0.583709i
\(249\) −11.9596 5.75943i −0.757907 0.364989i
\(250\) 2.08211 + 2.61088i 0.131684 + 0.165126i
\(251\) 1.25129 0.0789808 0.0394904 0.999220i \(-0.487427\pi\)
0.0394904 + 0.999220i \(0.487427\pi\)
\(252\) 1.35690 0.0854764
\(253\) −14.4758 18.1521i −0.910088 1.14121i
\(254\) −2.89397 + 1.39366i −0.181584 + 0.0874461i
\(255\) −0.286208 + 1.25396i −0.0179231 + 0.0785260i
\(256\) −0.534384 2.34129i −0.0333990 0.146331i
\(257\) −7.74094 −0.482866 −0.241433 0.970417i \(-0.577617\pi\)
−0.241433 + 0.970417i \(0.577617\pi\)
\(258\) −3.41454 3.99930i −0.212580 0.248985i
\(259\) 10.5700 0.656789
\(260\) −1.27359 5.57998i −0.0789850 0.346056i
\(261\) 0.329749 1.44472i 0.0204109 0.0894262i
\(262\) 3.66152 1.76330i 0.226210 0.108937i
\(263\) 0.797093 + 0.999524i 0.0491509 + 0.0616333i 0.805799 0.592189i \(-0.201736\pi\)
−0.756648 + 0.653822i \(0.773165\pi\)
\(264\) −16.1468 −0.993764
\(265\) 1.66056 0.102008
\(266\) 2.32908 + 2.92058i 0.142805 + 0.179072i
\(267\) −22.9034 11.0297i −1.40167 0.675007i
\(268\) −7.54288 + 9.45847i −0.460755 + 0.577768i
\(269\) −22.8642 11.0108i −1.39405 0.671341i −0.422108 0.906545i \(-0.638710\pi\)
−0.971946 + 0.235204i \(0.924424\pi\)
\(270\) −0.393969 1.72609i −0.0239762 0.105046i
\(271\) −5.58091 6.99824i −0.339016 0.425113i 0.582875 0.812562i \(-0.301928\pi\)
−0.921891 + 0.387449i \(0.873356\pi\)
\(272\) 0.564647 + 2.47388i 0.0342367 + 0.150001i
\(273\) 19.6054 9.44145i 1.18657 0.571422i
\(274\) −1.69053 + 2.11986i −0.102129 + 0.128065i
\(275\) −14.3862 + 18.0397i −0.867520 + 1.08784i
\(276\) −3.16756 + 13.8780i −0.190665 + 0.835357i
\(277\) 6.03415 2.90589i 0.362557 0.174598i −0.243732 0.969843i \(-0.578372\pi\)
0.606289 + 0.795244i \(0.292657\pi\)
\(278\) −2.86563 1.38001i −0.171869 0.0827676i
\(279\) 0.381887 1.67316i 0.0228630 0.100169i
\(280\) 0.920583 4.03334i 0.0550154 0.241038i
\(281\) 20.1516 + 9.70450i 1.20214 + 0.578922i 0.924286 0.381701i \(-0.124661\pi\)
0.277857 + 0.960622i \(0.410376\pi\)
\(282\) 6.43900 3.10086i 0.383437 0.184653i
\(283\) −6.49934 + 28.4755i −0.386345 + 1.69269i 0.290754 + 0.956798i \(0.406094\pi\)
−0.677099 + 0.735892i \(0.736763\pi\)
\(284\) 18.6407 23.3747i 1.10612 1.38703i
\(285\) 2.48039 3.11031i 0.146925 0.184239i
\(286\) −8.41066 + 4.05036i −0.497333 + 0.239503i
\(287\) 4.82371 + 21.1340i 0.284734 + 1.24750i
\(288\) 0.716480 + 0.898438i 0.0422190 + 0.0529409i
\(289\) 3.60656 + 15.8014i 0.212151 + 0.929493i
\(290\) −1.92931 0.929108i −0.113293 0.0545591i
\(291\) −10.5368 + 13.2128i −0.617680 + 0.774547i
\(292\) −20.2201 9.73750i −1.18329 0.569844i
\(293\) −6.02177 7.55106i −0.351796 0.441138i 0.574175 0.818732i \(-0.305323\pi\)
−0.925971 + 0.377595i \(0.876751\pi\)
\(294\) 1.84117 0.107379
\(295\) 0.692021 0.0402910
\(296\) 3.65734 + 4.58616i 0.212579 + 0.266565i
\(297\) 23.6700 11.3989i 1.37347 0.661430i
\(298\) 0.440198 1.92863i 0.0255000 0.111723i
\(299\) 3.86390 + 16.9288i 0.223455 + 0.979020i
\(300\) 14.1468 0.816763
\(301\) 12.9819 + 15.2051i 0.748263 + 0.876406i
\(302\) 6.32006 0.363679
\(303\) −5.02057 21.9966i −0.288424 1.26367i
\(304\) 1.74645 7.65168i 0.100166 0.438854i
\(305\) −1.00000 + 0.481575i −0.0572598 + 0.0275749i
\(306\) −0.0609989 0.0764902i −0.00348708 0.00437266i
\(307\) −12.9855 −0.741123 −0.370562 0.928808i \(-0.620835\pi\)
−0.370562 + 0.928808i \(0.620835\pi\)
\(308\) 29.0954 1.65787
\(309\) 4.92543 + 6.17629i 0.280198 + 0.351357i
\(310\) −2.23437 1.07601i −0.126903 0.0611135i
\(311\) −3.68933 + 4.62628i −0.209203 + 0.262332i −0.875352 0.483487i \(-0.839370\pi\)
0.666149 + 0.745819i \(0.267942\pi\)
\(312\) 10.8802 + 5.23961i 0.615968 + 0.296634i
\(313\) −4.57673 20.0520i −0.258692 1.13340i −0.922651 0.385635i \(-0.873982\pi\)
0.663959 0.747769i \(-0.268875\pi\)
\(314\) −2.06518 2.58965i −0.116545 0.146143i
\(315\) −0.134375 0.588735i −0.00757117 0.0331715i
\(316\) −12.7458 + 6.13805i −0.717006 + 0.345292i
\(317\) 11.4487 14.3562i 0.643022 0.806325i −0.348355 0.937363i \(-0.613260\pi\)
0.991377 + 0.131038i \(0.0418310\pi\)
\(318\) −1.03534 + 1.29828i −0.0580592 + 0.0728039i
\(319\) 7.07069 30.9787i 0.395883 1.73447i
\(320\) −2.62349 + 1.26341i −0.146658 + 0.0706265i
\(321\) −1.04407 0.502799i −0.0582745 0.0280635i
\(322\) −1.32371 + 5.79954i −0.0737674 + 0.323196i
\(323\) −0.545269 + 2.38898i −0.0303396 + 0.132926i
\(324\) −15.7153 7.56808i −0.873071 0.420449i
\(325\) 15.5477 7.48739i 0.862432 0.415326i
\(326\) 0.331478 1.45230i 0.0183589 0.0804354i
\(327\) −2.10992 + 2.64575i −0.116679 + 0.146310i
\(328\) −7.50066 + 9.40554i −0.414155 + 0.519334i
\(329\) −24.4807 + 11.7893i −1.34966 + 0.649964i
\(330\) 0.757865 + 3.32042i 0.0417191 + 0.182783i
\(331\) 1.02781 + 1.28883i 0.0564936 + 0.0708407i 0.809276 0.587429i \(-0.199860\pi\)
−0.752782 + 0.658270i \(0.771289\pi\)
\(332\) 2.95377 + 12.9413i 0.162109 + 0.710247i
\(333\) 0.771438 + 0.371505i 0.0422746 + 0.0203584i
\(334\) −0.565179 + 0.708712i −0.0309252 + 0.0387790i
\(335\) 4.85086 + 2.33605i 0.265031 + 0.127632i
\(336\) −9.76540 12.2454i −0.532746 0.668042i
\(337\) 29.1444 1.58759 0.793797 0.608183i \(-0.208101\pi\)
0.793797 + 0.608183i \(0.208101\pi\)
\(338\) 1.19614 0.0650616
\(339\) 14.1881 + 17.7914i 0.770594 + 0.966294i
\(340\) 1.15883 0.558065i 0.0628466 0.0302653i
\(341\) 8.18867 35.8769i 0.443441 1.94284i
\(342\) 0.0673352 + 0.295015i 0.00364107 + 0.0159526i
\(343\) 14.3424 0.774418
\(344\) −2.10537 + 10.8937i −0.113514 + 0.587351i
\(345\) 6.33513 0.341072
\(346\) −0.101720 0.445662i −0.00546848 0.0239590i
\(347\) 5.60992 24.5786i 0.301156 1.31945i −0.567229 0.823560i \(-0.691984\pi\)
0.868385 0.495891i \(-0.165158\pi\)
\(348\) −17.5526 + 8.45287i −0.940916 + 0.453121i
\(349\) 0.163014 + 0.204413i 0.00872594 + 0.0109420i 0.786175 0.618004i \(-0.212058\pi\)
−0.777449 + 0.628946i \(0.783487\pi\)
\(350\) 5.91185 0.316002
\(351\) −19.6485 −1.04876
\(352\) 15.3632 + 19.2649i 0.818863 + 1.02682i
\(353\) 12.8714 + 6.19855i 0.685077 + 0.329916i 0.743841 0.668356i \(-0.233002\pi\)
−0.0587644 + 0.998272i \(0.518716\pi\)
\(354\) −0.431468 + 0.541044i −0.0229323 + 0.0287562i
\(355\) −11.9879 5.77308i −0.636253 0.306403i
\(356\) 5.65668 + 24.7835i 0.299803 + 1.31352i
\(357\) 3.04892 + 3.82322i 0.161366 + 0.202346i
\(358\) −0.966148 4.23297i −0.0510625 0.223720i
\(359\) 0.862937 0.415568i 0.0455441 0.0219329i −0.410973 0.911647i \(-0.634811\pi\)
0.456517 + 0.889715i \(0.349097\pi\)
\(360\) 0.208947 0.262012i 0.0110125 0.0138092i
\(361\) −7.12080 + 8.92920i −0.374779 + 0.469958i
\(362\) −0.830945 + 3.64061i −0.0436735 + 0.191346i
\(363\) −27.6749 + 13.3275i −1.45255 + 0.699513i
\(364\) −19.6054 9.44145i −1.02760 0.494866i
\(365\) −2.22252 + 9.73750i −0.116332 + 0.509684i
\(366\) 0.246980 1.08209i 0.0129098 0.0565617i
\(367\) −11.0930 5.34210i −0.579049 0.278855i 0.121346 0.992610i \(-0.461279\pi\)
−0.700396 + 0.713755i \(0.746993\pi\)
\(368\) 11.2606 5.42280i 0.586997 0.282683i
\(369\) −0.390748 + 1.71198i −0.0203415 + 0.0891220i
\(370\) 0.771438 0.967353i 0.0401052 0.0502903i
\(371\) 3.93631 4.93598i 0.204363 0.256263i
\(372\) −20.3279 + 9.78940i −1.05395 + 0.507556i
\(373\) −2.43953 10.6883i −0.126314 0.553419i −0.997992 0.0633395i \(-0.979825\pi\)
0.871678 0.490079i \(-0.163032\pi\)
\(374\) −1.30798 1.64015i −0.0676340 0.0848103i
\(375\) −3.00873 13.1821i −0.155370 0.680721i
\(376\) −13.5858 6.54255i −0.700632 0.337406i
\(377\) −14.8170 + 18.5799i −0.763114 + 0.956915i
\(378\) −6.06465 2.92058i −0.311932 0.150218i
\(379\) −6.92609 8.68504i −0.355769 0.446121i 0.571451 0.820636i \(-0.306381\pi\)
−0.927221 + 0.374515i \(0.877809\pi\)
\(380\) −3.97823 −0.204079
\(381\) 13.0054 0.666286
\(382\) −3.78986 4.75233i −0.193906 0.243150i
\(383\) 7.17510 3.45534i 0.366630 0.176560i −0.241493 0.970403i \(-0.577637\pi\)
0.608123 + 0.793843i \(0.291923\pi\)
\(384\) 4.37920 19.1865i 0.223475 0.979108i
\(385\) −2.88135 12.6240i −0.146847 0.643381i
\(386\) 1.81940 0.0926048
\(387\) 0.413050 + 1.56600i 0.0209965 + 0.0796040i
\(388\) 16.8998 0.857956
\(389\) 2.53774 + 11.1186i 0.128668 + 0.563733i 0.997627 + 0.0688484i \(0.0219325\pi\)
−0.868959 + 0.494884i \(0.835210\pi\)
\(390\) 0.566803 2.48333i 0.0287012 0.125748i
\(391\) −3.51573 + 1.69309i −0.177798 + 0.0856230i
\(392\) −2.42208 3.03719i −0.122333 0.153401i
\(393\) −16.4547 −0.830031
\(394\) 3.81940 0.192418
\(395\) 3.92543 + 4.92233i 0.197510 + 0.247669i
\(396\) 2.12349 + 1.02262i 0.106709 + 0.0513885i
\(397\) −5.92543 + 7.43025i −0.297389 + 0.372914i −0.907967 0.419043i \(-0.862366\pi\)
0.610578 + 0.791956i \(0.290937\pi\)
\(398\) 2.28932 + 1.10248i 0.114753 + 0.0552623i
\(399\) −3.36563 14.7458i −0.168492 0.738212i
\(400\) −7.74429 9.71103i −0.387215 0.485552i
\(401\) −2.41789 10.5935i −0.120744 0.529014i −0.998733 0.0503321i \(-0.983972\pi\)
0.877989 0.478681i \(-0.158885\pi\)
\(402\) −4.85086 + 2.33605i −0.241939 + 0.116512i
\(403\) −17.1598 + 21.5177i −0.854790 + 1.07187i
\(404\) −14.0673 + 17.6399i −0.699876 + 0.877617i
\(405\) −1.72737 + 7.56808i −0.0858335 + 0.376061i
\(406\) −7.33513 + 3.53241i −0.364036 + 0.175311i
\(407\) 16.5417 + 7.96605i 0.819941 + 0.394863i
\(408\) −0.603875 + 2.64575i −0.0298963 + 0.130984i
\(409\) 4.71164 20.6430i 0.232975 1.02073i −0.714181 0.699961i \(-0.753201\pi\)
0.947157 0.320771i \(-0.103942\pi\)
\(410\) 2.28621 + 1.10098i 0.112908 + 0.0543735i
\(411\) 9.89104 4.76328i 0.487889 0.234955i
\(412\) 1.75786 7.70171i 0.0866038 0.379436i
\(413\) 1.64042 2.05702i 0.0807196 0.101219i
\(414\) −0.300446 + 0.376747i −0.0147661 + 0.0185161i
\(415\) 5.32251 2.56319i 0.261272 0.125822i
\(416\) −4.10076 17.9666i −0.201056 0.880885i
\(417\) 8.02930 + 10.0684i 0.393197 + 0.493053i
\(418\) 1.44385 + 6.32590i 0.0706208 + 0.309410i
\(419\) 28.9279 + 13.9309i 1.41322 + 0.680571i 0.975796 0.218685i \(-0.0701767\pi\)
0.437424 + 0.899255i \(0.355891\pi\)
\(420\) −4.94989 + 6.20696i −0.241530 + 0.302869i
\(421\) −13.7126 6.60364i −0.668311 0.321842i 0.0687832 0.997632i \(-0.478088\pi\)
−0.737094 + 0.675790i \(0.763803\pi\)
\(422\) −5.31551 6.66544i −0.258755 0.324469i
\(423\) −2.20105 −0.107019
\(424\) 3.50365 0.170152
\(425\) 2.41789 + 3.03194i 0.117285 + 0.147071i
\(426\) 11.9879 5.77308i 0.580817 0.279707i
\(427\) −0.939001 + 4.11403i −0.0454414 + 0.199092i
\(428\) 0.257865 + 1.12978i 0.0124644 + 0.0546099i
\(429\) 37.7972 1.82486
\(430\) 2.33901 0.0783611i 0.112797 0.00377891i
\(431\) 37.4819 1.80544 0.902719 0.430230i \(-0.141568\pi\)
0.902719 + 0.430230i \(0.141568\pi\)
\(432\) 3.14699 + 13.7879i 0.151410 + 0.663369i
\(433\) −5.11141 + 22.3945i −0.245639 + 1.07621i 0.690154 + 0.723662i \(0.257543\pi\)
−0.935793 + 0.352551i \(0.885314\pi\)
\(434\) −8.49492 + 4.09094i −0.407769 + 0.196371i
\(435\) 5.40581 + 6.77868i 0.259189 + 0.325013i
\(436\) 3.38404 0.162066
\(437\) 12.0694 0.577356
\(438\) −6.22737 7.80887i −0.297555 0.373122i
\(439\) −1.31282 0.632222i −0.0626576 0.0301743i 0.402293 0.915511i \(-0.368213\pi\)
−0.464950 + 0.885337i \(0.653928\pi\)
\(440\) 4.48039 5.61823i 0.213594 0.267838i
\(441\) −0.510885 0.246029i −0.0243279 0.0117157i
\(442\) 0.349126 + 1.52962i 0.0166062 + 0.0727567i
\(443\) −13.0640 16.3817i −0.620689 0.778319i 0.367753 0.929924i \(-0.380127\pi\)
−0.988441 + 0.151605i \(0.951556\pi\)
\(444\) −2.50484 10.9744i −0.118875 0.520824i
\(445\) 10.1930 4.90868i 0.483194 0.232694i
\(446\) 0.0286390 0.0359122i 0.00135610 0.00170049i
\(447\) −4.99396 + 6.26223i −0.236206 + 0.296193i
\(448\) −2.46346 + 10.7931i −0.116388 + 0.509927i
\(449\) −7.87316 + 3.79151i −0.371557 + 0.178933i −0.610338 0.792141i \(-0.708966\pi\)
0.238781 + 0.971073i \(0.423252\pi\)
\(450\) 0.431468 + 0.207784i 0.0203396 + 0.00979504i
\(451\) −8.37867 + 36.7093i −0.394536 + 1.72858i
\(452\) 5.06369 22.1855i 0.238176 1.04352i
\(453\) −23.0553 11.1028i −1.08323 0.521656i
\(454\) −5.35474 + 2.57871i −0.251310 + 0.121025i
\(455\) −2.15495 + 9.44145i −0.101026 + 0.442622i
\(456\) 5.23341 6.56248i 0.245077 0.307316i
\(457\) 19.7461 24.7608i 0.923683 1.15826i −0.0633902 0.997989i \(-0.520191\pi\)
0.987073 0.160273i \(-0.0512373\pi\)
\(458\) 11.3823 5.48143i 0.531861 0.256131i
\(459\) −0.982542 4.30480i −0.0458611 0.200931i
\(460\) −3.94989 4.95300i −0.184164 0.230935i
\(461\) −7.56010 33.1230i −0.352109 1.54269i −0.772302 0.635255i \(-0.780895\pi\)
0.420193 0.907435i \(-0.361962\pi\)
\(462\) 11.6664 + 5.61823i 0.542768 + 0.261384i
\(463\) −3.99061 + 5.00406i −0.185459 + 0.232559i −0.865866 0.500276i \(-0.833232\pi\)
0.680407 + 0.732835i \(0.261803\pi\)
\(464\) 15.4112 + 7.42164i 0.715447 + 0.344541i
\(465\) 6.26055 + 7.85049i 0.290326 + 0.364058i
\(466\) 4.87933 0.226031
\(467\) −40.9506 −1.89497 −0.947484 0.319803i \(-0.896383\pi\)
−0.947484 + 0.319803i \(0.896383\pi\)
\(468\) −1.09903 1.37814i −0.0508027 0.0637046i
\(469\) 18.4426 8.88151i 0.851602 0.410110i
\(470\) −0.707751 + 3.10086i −0.0326461 + 0.143032i
\(471\) 2.98427 + 13.0749i 0.137508 + 0.602462i
\(472\) 1.46011 0.0672069
\(473\) 8.85690 + 33.5791i 0.407241 + 1.54397i
\(474\) −6.29590 −0.289180
\(475\) −2.66905 11.6939i −0.122465 0.536553i
\(476\) 1.08815 4.76748i 0.0498751 0.218517i
\(477\) 0.460771 0.221896i 0.0210973 0.0101599i
\(478\) 5.38889 + 6.75745i 0.246482 + 0.309079i
\(479\) −19.8495 −0.906948 −0.453474 0.891269i \(-0.649816\pi\)
−0.453474 + 0.891269i \(0.649816\pi\)
\(480\) −6.72348 −0.306883
\(481\) −8.56129 10.7355i −0.390361 0.489498i
\(482\) 1.40097 + 0.674671i 0.0638124 + 0.0307304i
\(483\) 15.0172 18.8310i 0.683307 0.856840i
\(484\) 27.6749 + 13.3275i 1.25795 + 0.605796i
\(485\) −1.67360 7.33254i −0.0759944 0.332953i
\(486\) −0.710439 0.890863i −0.0322262 0.0404104i
\(487\) 3.20291 + 14.0329i 0.145138 + 0.635889i 0.994195 + 0.107589i \(0.0343132\pi\)
−0.849058 + 0.528300i \(0.822830\pi\)
\(488\) −2.10992 + 1.01608i −0.0955114 + 0.0459959i
\(489\) −3.76055 + 4.71558i −0.170058 + 0.213246i
\(490\) −0.510885 + 0.640630i −0.0230794 + 0.0289407i
\(491\) 8.55137 37.4660i 0.385918 1.69082i −0.292602 0.956234i \(-0.594521\pi\)
0.678520 0.734582i \(-0.262622\pi\)
\(492\) 20.7995 10.0165i 0.937716 0.451580i
\(493\) −4.81163 2.31716i −0.216705 0.104360i
\(494\) 1.07984 4.73110i 0.0485845 0.212862i
\(495\) 0.233406 1.02262i 0.0104908 0.0459633i
\(496\) 17.8479 + 8.59511i 0.801396 + 0.385932i
\(497\) −45.5773 + 21.9489i −2.04442 + 0.984542i
\(498\) −1.31455 + 5.75943i −0.0589065 + 0.258086i
\(499\) −13.1670 + 16.5109i −0.589437 + 0.739131i −0.983690 0.179871i \(-0.942432\pi\)
0.394253 + 0.919002i \(0.371003\pi\)
\(500\) −8.43027 + 10.5712i −0.377013 + 0.472760i
\(501\) 3.30678 1.59246i 0.147736 0.0711460i
\(502\) −0.123917 0.542915i −0.00553068 0.0242315i
\(503\) 4.40664 + 5.52575i 0.196482 + 0.246381i 0.870306 0.492511i \(-0.163921\pi\)
−0.673824 + 0.738892i \(0.735349\pi\)
\(504\) −0.283520 1.24218i −0.0126290 0.0553312i
\(505\) 9.04676 + 4.35669i 0.402576 + 0.193870i
\(506\) −6.44235 + 8.07846i −0.286398 + 0.359131i
\(507\) −4.36347 2.10134i −0.193788 0.0933236i
\(508\) −8.10872 10.1680i −0.359766 0.451133i
\(509\) −27.6136 −1.22395 −0.611975 0.790877i \(-0.709625\pi\)
−0.611975 + 0.790877i \(0.709625\pi\)
\(510\) 0.572417 0.0253470
\(511\) 23.6761 + 29.6888i 1.04737 + 1.31336i
\(512\) −20.6429 + 9.94108i −0.912294 + 0.439338i
\(513\) −3.03899 + 13.3147i −0.134175 + 0.587858i
\(514\) 0.766594 + 3.35867i 0.0338130 + 0.148144i
\(515\) −3.51573 −0.154922
\(516\) 12.7104 17.0818i 0.559546 0.751985i
\(517\) −47.1963 −2.07569
\(518\) −1.04676 4.58616i −0.0459921 0.201504i
\(519\) −0.411854 + 1.80445i −0.0180784 + 0.0792066i
\(520\) −4.84213 + 2.33184i −0.212341 + 0.102258i
\(521\) −26.8925 33.7222i −1.17818 1.47740i −0.845190 0.534466i \(-0.820513\pi\)
−0.332993 0.942929i \(-0.608059\pi\)
\(522\) −0.659498 −0.0288654
\(523\) 13.6420 0.596525 0.298262 0.954484i \(-0.403593\pi\)
0.298262 + 0.954484i \(0.403593\pi\)
\(524\) 10.2594 + 12.8648i 0.448182 + 0.562003i
\(525\) −21.5661 10.3857i −0.941223 0.453269i
\(526\) 0.354740 0.444830i 0.0154674 0.0193955i
\(527\) −5.57242 2.68353i −0.242738 0.116897i
\(528\) −6.05376 26.5233i −0.263456 1.15428i
\(529\) −2.35690 2.95545i −0.102474 0.128498i
\(530\) −0.164447 0.720491i −0.00714314 0.0312961i
\(531\) 0.192021 0.0924727i 0.00833302 0.00401297i
\(532\) −9.43027 + 11.8252i −0.408854 + 0.512687i
\(533\) 17.5579 22.0170i 0.760519 0.953661i
\(534\) −2.51746 + 11.0297i −0.108941 + 0.477302i
\(535\) 0.464656 0.223767i 0.0200888 0.00967428i
\(536\) 10.2349 + 4.92887i 0.442080 + 0.212895i
\(537\) −3.91185 + 17.1390i −0.168809 + 0.739600i
\(538\) −2.51315 + 11.0108i −0.108349 + 0.474710i
\(539\) −10.9547 5.27552i −0.471854 0.227233i
\(540\) 6.45862 3.11031i 0.277935 0.133846i
\(541\) 5.46562 23.9464i 0.234985 1.02954i −0.710455 0.703742i \(-0.751511\pi\)
0.945440 0.325795i \(-0.105632\pi\)
\(542\) −2.48374 + 3.11451i −0.106686 + 0.133780i
\(543\) 9.42692 11.8210i 0.404548 0.507287i
\(544\) 3.73125 1.79688i 0.159976 0.0770404i
\(545\) −0.335126 1.46828i −0.0143552 0.0628943i
\(546\) −6.03803 7.57145i −0.258404 0.324028i
\(547\) −4.85517 21.2719i −0.207592 0.909520i −0.966164 0.257930i \(-0.916960\pi\)
0.758572 0.651590i \(-0.225898\pi\)
\(548\) −9.89104 4.76328i −0.422524 0.203477i
\(549\) −0.213128 + 0.267254i −0.00909607 + 0.0114061i
\(550\) 9.25182 + 4.45544i 0.394499 + 0.189981i
\(551\) 10.2989 + 12.9144i 0.438747 + 0.550171i
\(552\) 13.3666 0.568920
\(553\) 23.9366 1.01789
\(554\) −1.85839 2.33034i −0.0789553 0.0990069i
\(555\) −4.51357 + 2.17362i −0.191591 + 0.0922651i
\(556\) 2.86563 12.5551i 0.121530 0.532456i
\(557\) 9.10065 + 39.8726i 0.385607 + 1.68946i 0.679548 + 0.733631i \(0.262176\pi\)
−0.293940 + 0.955824i \(0.594967\pi\)
\(558\) −0.763774 −0.0323331
\(559\) 4.92835 25.5006i 0.208447 1.07856i
\(560\) 6.97046 0.294556
\(561\) 1.89008 + 8.28100i 0.0797994 + 0.349624i
\(562\) 2.21499 9.70450i 0.0934336 0.409360i
\(563\) −0.612605 + 0.295015i −0.0258182 + 0.0124334i −0.446748 0.894660i \(-0.647418\pi\)
0.420930 + 0.907093i \(0.361704\pi\)
\(564\) 18.0417 + 22.6236i 0.759692 + 0.952623i
\(565\) −10.1274 −0.426062
\(566\) 12.9987 0.546375
\(567\) 18.4013 + 23.0745i 0.772780 + 0.969036i
\(568\) −25.2935 12.1807i −1.06129 0.511091i
\(569\) −10.2476 + 12.8501i −0.429604 + 0.538706i −0.948770 0.315967i \(-0.897671\pi\)
0.519167 + 0.854673i \(0.326242\pi\)
\(570\) −1.59515 0.768182i −0.0668133 0.0321756i
\(571\) −4.67821 20.4966i −0.195777 0.857755i −0.973416 0.229044i \(-0.926440\pi\)
0.777639 0.628711i \(-0.216417\pi\)
\(572\) −23.5661 29.5510i −0.985350 1.23559i
\(573\) 5.47650 + 23.9941i 0.228784 + 1.00237i
\(574\) 8.69202 4.18586i 0.362798 0.174714i
\(575\) 11.9092 14.9336i 0.496647 0.622775i
\(576\) −0.559138 + 0.701137i −0.0232974 + 0.0292141i
\(577\) −9.11237 + 39.9239i −0.379353 + 1.66205i 0.320107 + 0.947381i \(0.396281\pi\)
−0.699460 + 0.714672i \(0.746576\pi\)
\(578\) 6.49880 3.12966i 0.270315 0.130177i
\(579\) −6.63706 3.19624i −0.275827 0.132831i
\(580\) 1.92931 8.45287i 0.0801103 0.350986i
\(581\) 4.99784 21.8970i 0.207346 0.908440i
\(582\) 6.77628 + 3.26329i 0.280886 + 0.135268i
\(583\) 9.88016 4.75803i 0.409194 0.197058i
\(584\) −4.68933 + 20.5453i −0.194046 + 0.850171i
\(585\) −0.489115 + 0.613331i −0.0202224 + 0.0253581i
\(586\) −2.67994 + 3.36054i −0.110707 + 0.138823i
\(587\) 7.40097 3.56412i 0.305471 0.147107i −0.274868 0.961482i \(-0.588634\pi\)
0.580339 + 0.814375i \(0.302920\pi\)
\(588\) 1.65883 + 7.26782i 0.0684091 + 0.299720i
\(589\) 11.9273 + 14.9563i 0.491455 + 0.616266i
\(590\) −0.0685317 0.300257i −0.00282140 0.0123614i
\(591\) −13.9330 6.70976i −0.573125 0.276003i
\(592\) −6.16219 + 7.72714i −0.253264 + 0.317583i
\(593\) 16.0661 + 7.73704i 0.659757 + 0.317722i 0.733634 0.679545i \(-0.237823\pi\)
−0.0738765 + 0.997267i \(0.523537\pi\)
\(594\) −7.28986 9.14119i −0.299106 0.375068i
\(595\) −2.17629 −0.0892193
\(596\) 8.00969 0.328090
\(597\) −6.41454 8.04358i −0.262530 0.329202i
\(598\) 6.96250 3.35296i 0.284718 0.137113i
\(599\) −7.94020 + 34.7883i −0.324428 + 1.42141i 0.505156 + 0.863028i \(0.331435\pi\)
−0.829584 + 0.558382i \(0.811422\pi\)
\(600\) −2.95593 12.9508i −0.120675 0.528713i
\(601\) −8.47219 −0.345588 −0.172794 0.984958i \(-0.555279\pi\)
−0.172794 + 0.984958i \(0.555279\pi\)
\(602\) 5.31163 7.13840i 0.216486 0.290940i
\(603\) 1.65817 0.0675259
\(604\) 5.69418 + 24.9478i 0.231693 + 1.01511i
\(605\) 3.04192 13.3275i 0.123672 0.541840i
\(606\) −9.04676 + 4.35669i −0.367500 + 0.176978i
\(607\) 21.0993 + 26.4577i 0.856395 + 1.07389i 0.996487 + 0.0837472i \(0.0266888\pi\)
−0.140092 + 0.990139i \(0.544740\pi\)
\(608\) −12.8092 −0.519483
\(609\) 32.9638 1.33576
\(610\) 0.307979 + 0.386193i 0.0124697 + 0.0156365i
\(611\) 31.8022 + 15.3151i 1.28658 + 0.619585i
\(612\) 0.246980 0.309703i 0.00998356 0.0125190i
\(613\) 32.2630 + 15.5370i 1.30309 + 0.627535i 0.951220 0.308513i \(-0.0998315\pi\)
0.351870 + 0.936049i \(0.385546\pi\)
\(614\) 1.28597 + 5.63421i 0.0518976 + 0.227378i
\(615\) −6.40581 8.03264i −0.258307 0.323907i
\(616\) −6.07942 26.6357i −0.244947 1.07318i
\(617\) −3.56638 + 1.71748i −0.143577 + 0.0691430i −0.504293 0.863533i \(-0.668247\pi\)
0.360716 + 0.932676i \(0.382532\pi\)
\(618\) 2.19202 2.74871i 0.0881760 0.110569i
\(619\) 14.0233 17.5846i 0.563642 0.706785i −0.415584 0.909555i \(-0.636423\pi\)
0.979227 + 0.202769i \(0.0649942\pi\)
\(620\) 2.23437 9.78940i 0.0897343 0.393152i
\(621\) −19.5945 + 9.43621i −0.786299 + 0.378662i
\(622\) 2.37263 + 1.14260i 0.0951336 + 0.0458139i
\(623\) 9.57122 41.9343i 0.383463 1.68006i
\(624\) −4.52757 + 19.8366i −0.181248 + 0.794099i
\(625\) −14.2056 6.84105i −0.568224 0.273642i
\(626\) −8.24698 + 3.97154i −0.329616 + 0.158735i
\(627\) 5.84601 25.6130i 0.233467 1.02289i
\(628\) 8.36174 10.4853i 0.333670 0.418409i
\(629\) 1.92394 2.41254i 0.0767123 0.0961942i
\(630\) −0.242135 + 0.116606i −0.00964690 + 0.00464570i
\(631\) −2.60776 11.4253i −0.103813 0.454836i −0.999939 0.0110357i \(-0.996487\pi\)
0.896126 0.443800i \(-0.146370\pi\)
\(632\) 8.28232 + 10.3857i 0.329453 + 0.413121i
\(633\) 7.68114 + 33.6533i 0.305298 + 1.33760i
\(634\) −7.36270 3.54569i −0.292410 0.140817i
\(635\) −3.60872 + 4.52519i −0.143208 + 0.179577i
\(636\) −6.05765 2.91721i −0.240201 0.115675i
\(637\) 5.66972 + 7.10960i 0.224642 + 0.281693i
\(638\) −14.1414 −0.559862
\(639\) −4.09783 −0.162108
\(640\) 5.46077 + 6.84759i 0.215856 + 0.270675i
\(641\) −37.8303 + 18.2181i −1.49421 + 0.719573i −0.989610 0.143781i \(-0.954074\pi\)
−0.504599 + 0.863354i \(0.668360\pi\)
\(642\) −0.114761 + 0.502799i −0.00452924 + 0.0198439i
\(643\) −4.28083 18.7555i −0.168820 0.739647i −0.986471 0.163934i \(-0.947582\pi\)
0.817652 0.575713i \(-0.195275\pi\)
\(644\) −24.0858 −0.949112
\(645\) −8.67025 3.82322i −0.341391 0.150539i
\(646\) 1.09054 0.0429067
\(647\) −3.49193 15.2992i −0.137282 0.601472i −0.996026 0.0890667i \(-0.971612\pi\)
0.858744 0.512406i \(-0.171246\pi\)
\(648\) −3.64460 + 15.9680i −0.143173 + 0.627283i
\(649\) 4.11745 1.98286i 0.161624 0.0778340i
\(650\) −4.78836 6.00442i −0.187815 0.235513i
\(651\) 38.1758 1.49623
\(652\) 6.03146 0.236210
\(653\) −28.8267 36.1475i −1.12808 1.41456i −0.897225 0.441573i \(-0.854421\pi\)
−0.230850 0.972989i \(-0.574151\pi\)
\(654\) 1.35690 + 0.653447i 0.0530588 + 0.0255518i
\(655\) 4.56584 5.72539i 0.178402 0.223709i
\(656\) −18.2620 8.79454i −0.713013 0.343369i
\(657\) 0.684489 + 2.99894i 0.0267044 + 0.117000i
\(658\) 7.53952 + 9.45426i 0.293921 + 0.368566i
\(659\) −1.76218 7.72060i −0.0686447 0.300752i 0.928939 0.370234i \(-0.120722\pi\)
−0.997583 + 0.0694821i \(0.977865\pi\)
\(660\) −12.4242 + 5.98319i −0.483613 + 0.232896i
\(661\) 24.7521 31.0382i 0.962746 1.20725i −0.0155177 0.999880i \(-0.504940\pi\)
0.978264 0.207366i \(-0.0664889\pi\)
\(662\) 0.457419 0.573585i 0.0177781 0.0222930i
\(663\) 1.41358 6.19331i 0.0548990 0.240528i
\(664\) 11.2301 5.40811i 0.435811 0.209875i
\(665\) 6.06465 + 2.92058i 0.235177 + 0.113255i
\(666\) 0.0847936 0.371505i 0.00328569 0.0143955i
\(667\) −5.85325 + 25.6448i −0.226639 + 0.992969i
\(668\) −3.30678 1.59246i −0.127943 0.0616142i
\(669\) −0.167563 + 0.0806940i −0.00647835 + 0.00311981i
\(670\) 0.533188 2.33605i 0.0205988 0.0902494i
\(671\) −4.57002 + 5.73063i −0.176424 + 0.221228i
\(672\) −15.9378 + 19.9854i −0.614814 + 0.770953i
\(673\) −27.3702 + 13.1808i −1.05504 + 0.508083i −0.879258 0.476345i \(-0.841961\pi\)
−0.175787 + 0.984428i \(0.556247\pi\)
\(674\) −2.88620 12.6453i −0.111172 0.487077i
\(675\) 13.4758 + 16.8982i 0.518685 + 0.650411i
\(676\) 1.07769 + 4.72166i 0.0414495 + 0.181602i
\(677\) 10.6184 + 5.11356i 0.408099 + 0.196530i 0.626659 0.779293i \(-0.284422\pi\)
−0.218561 + 0.975823i \(0.570136\pi\)
\(678\) 6.31431 7.91790i 0.242500 0.304085i
\(679\) −25.7630 12.4068i −0.988693 0.476130i
\(680\) −0.753020 0.944258i −0.0288770 0.0362106i
\(681\) 24.0640 0.922134
\(682\) −16.3773 −0.627121
\(683\) −10.3319 12.9558i −0.395339 0.495740i 0.543829 0.839196i \(-0.316974\pi\)
−0.939169 + 0.343456i \(0.888402\pi\)
\(684\) −1.10388 + 0.531598i −0.0422077 + 0.0203262i
\(685\) −1.08719 + 4.76328i −0.0415393 + 0.181995i
\(686\) −1.42035 6.22294i −0.0542291 0.237593i
\(687\) −51.1517 −1.95156
\(688\) −18.6838 + 0.625942i −0.712314 + 0.0238638i
\(689\) −8.20152 −0.312453
\(690\) −0.627375 2.74871i −0.0238837 0.104642i
\(691\) −4.19537 + 18.3811i −0.159600 + 0.699251i 0.830281 + 0.557346i \(0.188180\pi\)
−0.989880 + 0.141906i \(0.954677\pi\)
\(692\) 1.66756 0.803056i 0.0633912 0.0305276i
\(693\) −2.48643 3.11788i −0.0944515 0.118438i
\(694\) −11.2198 −0.425899
\(695\) −5.73125 −0.217399
\(696\) 11.4058 + 14.3024i 0.432336 + 0.542132i
\(697\) 5.70171 + 2.74580i 0.215968 + 0.104005i
\(698\) 0.0725480 0.0909724i 0.00274598 0.00344335i
\(699\) −17.7995 8.57181i −0.673241 0.324216i
\(700\) 5.32640 + 23.3365i 0.201319 + 0.882036i
\(701\) 18.8545 + 23.6428i 0.712125 + 0.892976i 0.997864 0.0653313i \(-0.0208104\pi\)
−0.285739 + 0.958308i \(0.592239\pi\)
\(702\) 1.94581 + 8.52516i 0.0734399 + 0.321761i
\(703\) −8.59903 + 4.14108i −0.324319 + 0.156184i
\(704\) −11.9894 + 15.0342i −0.451868 + 0.566624i
\(705\) 8.02930 10.0684i 0.302401 0.379199i
\(706\) 1.41478 6.19855i 0.0532459 0.233286i
\(707\) 34.3952 16.5639i 1.29357 0.622948i
\(708\) −2.52446 1.21572i −0.0948750 0.0456894i
\(709\) 0.0151970 0.0665824i 0.000570735 0.00250055i −0.974642 0.223771i \(-0.928163\pi\)
0.975212 + 0.221270i \(0.0710204\pi\)
\(710\) −1.31767 + 5.77308i −0.0494512 + 0.216660i
\(711\) 1.74698 + 0.841301i 0.0655169 + 0.0315513i
\(712\) 21.5063 10.3569i 0.805984 0.388141i
\(713\) −6.77873 + 29.6996i −0.253866 + 1.11226i
\(714\) 1.35690 1.70149i 0.0507806 0.0636768i
\(715\) −10.4879 + 13.1514i −0.392226 + 0.491836i
\(716\) 15.8388 7.62755i 0.591923 0.285055i
\(717\) −7.78717 34.1178i −0.290817 1.27415i
\(718\) −0.265766 0.333260i −0.00991830 0.0124372i
\(719\) −5.97339 26.1711i −0.222770 0.976018i −0.955382 0.295372i \(-0.904556\pi\)
0.732613 0.680646i \(-0.238301\pi\)
\(720\) 0.508729 + 0.244991i 0.0189592 + 0.00913028i
\(721\) −8.33393 + 10.4504i −0.310372 + 0.389194i
\(722\) 4.57942 + 2.20533i 0.170428 + 0.0820739i
\(723\) −3.92543 4.92233i −0.145988 0.183063i
\(724\) −15.1196 −0.561916
\(725\) 26.1414 0.970866
\(726\) 8.52326 + 10.6878i 0.316328 + 0.396663i
\(727\) 7.03630 3.38851i 0.260962 0.125673i −0.298829 0.954307i \(-0.596596\pi\)
0.559791 + 0.828634i \(0.310882\pi\)
\(728\) −4.54676 + 19.9207i −0.168514 + 0.738309i
\(729\) −5.43535 23.8138i −0.201309 0.881994i
\(730\) 4.44504 0.164518
\(731\) 5.83340 0.195429i 0.215756 0.00722822i
\(732\) 4.49396 0.166102
\(733\) 2.73609 + 11.9876i 0.101060 + 0.442773i 0.999989 + 0.00467846i \(0.00148920\pi\)
−0.898929 + 0.438094i \(0.855654\pi\)
\(734\) −1.21930 + 5.34210i −0.0450052 + 0.197181i
\(735\) 2.98911 1.43948i 0.110255 0.0530961i
\(736\) −12.7180 15.9478i −0.468791 0.587845i
\(737\) 35.5555 1.30971
\(738\) 0.781495 0.0287672
\(739\) −2.44571 3.06682i −0.0899667 0.112815i 0.734811 0.678272i \(-0.237271\pi\)
−0.824777 + 0.565458i \(0.808700\pi\)
\(740\) 4.51357 + 2.17362i 0.165922 + 0.0799040i
\(741\) −12.2506 + 15.3618i −0.450038 + 0.564330i
\(742\) −2.53146 1.21909i −0.0929328 0.0447541i
\(743\) 5.01195 + 21.9588i 0.183871 + 0.805590i 0.979765 + 0.200154i \(0.0641441\pi\)
−0.795894 + 0.605436i \(0.792999\pi\)
\(744\) 13.2092 + 16.5639i 0.484274 + 0.607261i
\(745\) −0.793209 3.47527i −0.0290609 0.127324i
\(746\) −4.39589 + 2.11695i −0.160945 + 0.0775070i
\(747\) 1.13437 1.42246i 0.0415046 0.0520451i
\(748\) 5.29590 6.64084i 0.193637 0.242813i
\(749\) 0.436313 1.91161i 0.0159425 0.0698487i
\(750\) −5.42154 + 2.61088i −0.197967 + 0.0953358i
\(751\) −2.33244 1.12324i −0.0851118 0.0409877i 0.390844 0.920457i \(-0.372183\pi\)
−0.475955 + 0.879469i \(0.657898\pi\)
\(752\) 5.65346 24.7694i 0.206160 0.903248i
\(753\) −0.501729 + 2.19822i −0.0182840 + 0.0801075i
\(754\) 9.52888 + 4.58886i 0.347021 + 0.167117i
\(755\) 10.2606 4.94122i 0.373420 0.179829i
\(756\) 6.06465 26.5710i 0.220569 0.966376i
\(757\) 6.98978 8.76491i 0.254048 0.318566i −0.638410 0.769696i \(-0.720408\pi\)
0.892458 + 0.451130i \(0.148979\pi\)
\(758\) −3.08240 + 3.86521i −0.111958 + 0.140391i
\(759\) 37.6933 18.1521i 1.36818 0.658880i
\(760\) 0.831241 + 3.64190i 0.0301523 + 0.132106i
\(761\) −6.52260 8.17908i −0.236444 0.296491i 0.649426 0.760425i \(-0.275009\pi\)
−0.885870 + 0.463933i \(0.846438\pi\)
\(762\) −1.28794 5.64282i −0.0466570 0.204418i
\(763\) −5.15883 2.48436i −0.186762 0.0899400i
\(764\) 15.3448 19.2418i 0.555156 0.696143i
\(765\) −0.158834 0.0764902i −0.00574264 0.00276551i
\(766\) −2.20978 2.77097i −0.0798424 0.100119i
\(767\) −3.41789 −0.123413
\(768\) 4.32736 0.156150
\(769\) −5.59150 7.01152i −0.201635 0.252842i 0.670725 0.741706i \(-0.265983\pi\)
−0.872360 + 0.488864i \(0.837411\pi\)
\(770\) −5.19202 + 2.50035i −0.187107 + 0.0901062i
\(771\) 3.10388 13.5990i 0.111783 0.489755i
\(772\) 1.63922 + 7.18189i 0.0589968 + 0.258482i