Properties

Label 43.2.e.a.35.1
Level $43$
Weight $2$
Character 43.35
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 35.1
Root \(0.900969 - 0.433884i\) of defining polynomial
Character \(\chi\) \(=\) 43.35
Dual form 43.2.e.a.16.1

$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

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

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 −0.997797 0.0663480i \(-0.978865\pi\)
0.927771 + 0.373150i \(0.121722\pi\)
\(3\) −0.400969 1.75676i −0.231499 1.01427i −0.948397 0.317087i \(-0.897295\pi\)
0.716897 0.697179i \(-0.245562\pi\)
\(4\) 1.62349 + 0.781831i 0.811745 + 0.390916i
\(5\) −0.500000 + 0.626980i −0.223607 + 0.280394i −0.880962 0.473187i \(-0.843104\pi\)
0.657355 + 0.753581i \(0.271675\pi\)
\(6\) 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 −0.980582 0.196107i \(-0.937170\pi\)
−0.458060 + 0.888921i \(0.651456\pi\)
\(12\) 0.722521 3.16557i 0.208574 0.913822i
\(13\) 2.46950 3.09666i 0.684916 0.858858i −0.310880 0.950449i \(-0.600624\pi\)
0.995797 + 0.0915912i \(0.0291953\pi\)
\(14\) 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 0.709965 0.704237i \(-0.248711\pi\)
−0.844562 + 0.535457i \(0.820139\pi\)
\(18\) −0.0244587 0.107160i −0.00576496 0.0252580i
\(19\) 2.48039 + 1.19449i 0.569039 + 0.274035i 0.696201 0.717847i \(-0.254872\pi\)
−0.127161 + 0.991882i \(0.540587\pi\)
\(20\) −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 0.0258941 0.999665i \(-0.491757\pi\)
0.797714 + 0.603036i \(0.206042\pi\)
\(24\) 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 −0.685670 0.727912i \(-0.740491\pi\)
0.933597 0.358325i \(-0.116652\pi\)
\(30\) −0.400969 + 0.502799i −0.0732066 + 0.0917981i
\(31\) 1.54623 6.77447i 0.277711 1.21673i −0.622969 0.782247i \(-0.714074\pi\)
0.900679 0.434484i \(-0.143069\pi\)
\(32\) −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 0.687328 + 0.726347i \(0.258783\pi\)
−0.934411 + 0.356196i \(0.884074\pi\)
\(42\) −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 0.915334 0.402696i \(-0.131927\pi\)
0.255861 + 0.966714i \(0.417641\pi\)
\(48\) 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 0.685215 0.728341i \(-0.259708\pi\)
−0.862555 + 0.505964i \(0.831137\pi\)
\(54\) 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 0.745574 0.666423i \(-0.232175\pi\)
−0.815620 + 0.578588i \(0.803604\pi\)
\(60\) 1.62349 + 2.03579i 0.209592 + 0.262820i
\(61\) 0.307979 + 1.34934i 0.0394326 + 0.172766i 0.990810 0.135263i \(-0.0431879\pi\)
−0.951377 + 0.308029i \(0.900331\pi\)
\(62\) 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 0.0262212 0.999656i \(-0.491653\pi\)
−0.765214 + 0.643776i \(0.777367\pi\)
\(68\) −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 0.963036 + 0.269372i \(0.0868162\pi\)
0.811047 + 0.584981i \(0.198898\pi\)
\(72\) 0.0929903 0.407417i 0.0109590 0.0480146i
\(73\) −7.76540 + 9.73750i −0.908871 + 1.13969i 0.0808571 + 0.996726i \(0.474234\pi\)
−0.989728 + 0.142963i \(0.954337\pi\)
\(74\) 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 −0.981661 0.190633i \(-0.938946\pi\)
0.801734 0.597681i \(-0.203911\pi\)
\(84\) −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 −0.813769 0.581188i \(-0.802588\pi\)
0.481013 0.876714i \(-0.340269\pi\)
\(90\) 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 0.0474314 0.998874i \(-0.484896\pi\)
0.810525 + 0.585705i \(0.199182\pi\)
\(98\) −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 −0.221846 0.975082i \(-0.571208\pi\)
−0.900668 + 0.434507i \(0.856922\pi\)
\(102\) −0.445042 0.558065i −0.0440657 0.0552567i
\(103\) 2.73341 + 3.42758i 0.269331 + 0.337730i 0.898043 0.439908i \(-0.144989\pi\)
−0.628712 + 0.777638i \(0.716418\pi\)
\(104\) 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 0.967540 0.252720i \(-0.0813250\pi\)
−0.981374 + 0.192107i \(0.938468\pi\)
\(108\) −1.98911 8.71488i −0.191403 0.838590i
\(109\) 1.69202 0.814835i 0.162066 0.0780470i −0.351092 0.936341i \(-0.614190\pi\)
0.513158 + 0.858294i \(0.328475\pi\)
\(110\) 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 0.999309 0.0371669i \(-0.0118333\pi\)
−0.258602 + 0.965984i \(0.583262\pi\)
\(114\) 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 0.852335 + 0.522997i \(0.175186\pi\)
−0.994847 + 0.101390i \(0.967671\pi\)
\(128\) −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 −0.805227 0.592966i \(-0.797957\pi\)
0.982763 0.184869i \(-0.0591862\pi\)
\(132\) 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 −0.917157 0.398527i \(-0.869522\pi\)
0.592622 + 0.805481i \(0.298093\pi\)
\(138\) 3.16756 1.52542i 0.269641 0.129852i
\(139\) 4.45593 + 5.58756i 0.377947 + 0.473930i 0.934029 0.357197i \(-0.116268\pi\)
−0.556082 + 0.831127i \(0.687696\pi\)
\(140\) 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 −0.262586 0.964909i \(-0.584575\pi\)
0.590676 + 0.806909i \(0.298861\pi\)
\(150\) 0.777479 + 3.40636i 0.0634809 + 0.278128i
\(151\) −3.16003 13.8450i −0.257160 1.12669i −0.924273 0.381733i \(-0.875327\pi\)
0.667113 0.744957i \(-0.267530\pi\)
\(152\) −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 0.681889 0.731456i \(-0.261159\pi\)
−0.146724 + 0.989177i \(0.546873\pi\)
\(158\) 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 −0.312035 0.950071i \(-0.601010\pi\)
0.548245 + 0.836318i \(0.315296\pi\)
\(164\) −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 −0.828536 0.559936i \(-0.810826\pi\)
0.730264 + 0.683165i \(0.239397\pi\)
\(168\) −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 −0.693206 0.720740i \(-0.743802\pi\)
0.131290 + 0.991344i \(0.458088\pi\)
\(182\) −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 0.822413 0.568892i \(-0.192628\pi\)
0.0679884 + 0.997686i \(0.478342\pi\)
\(192\) 5.89493 2.83885i 0.425430 0.204876i
\(193\) −0.909698 3.98565i −0.0654815 0.286893i 0.931576 0.363546i \(-0.118434\pi\)
−0.997058 + 0.0766525i \(0.975577\pi\)
\(194\) 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 −0.996278 0.0861931i \(-0.972530\pi\)
0.860218 0.509926i \(-0.170327\pi\)
\(198\) 0.362937 + 0.455108i 0.0257928 + 0.0323431i
\(199\) −3.55980 4.46385i −0.252348 0.316434i 0.639481 0.768807i \(-0.279149\pi\)
−0.891829 + 0.452373i \(0.850578\pi\)
\(200\) −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 0.920285 0.391248i \(-0.127957\pi\)
0.267898 + 0.963447i \(0.413671\pi\)
\(212\) −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 −0.779672 0.626188i \(-0.784614\pi\)
0.783981 + 0.620784i \(0.213186\pi\)
\(224\) 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 0.775337 + 0.631548i \(0.217580\pi\)
−0.972573 + 0.232599i \(0.925277\pi\)
\(228\) 5.57338 6.98879i 0.369106 0.462844i
\(229\) 6.31671 27.6753i 0.417420 1.82884i −0.129409 0.991591i \(-0.541308\pi\)
0.546829 0.837244i \(-0.315835\pi\)
\(230\) −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 −0.989802 0.142450i \(-0.954502\pi\)
0.829974 0.557802i \(-0.188355\pi\)
\(234\) −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 −0.228300 0.973591i \(-0.573317\pi\)
−0.903527 + 0.428532i \(0.859031\pi\)
\(240\) 0.916698 + 4.01632i 0.0591726 + 0.259252i
\(241\) −2.17845 2.73169i −0.140326 0.175963i 0.706702 0.707511i \(-0.250182\pi\)
−0.847028 + 0.531548i \(0.821611\pi\)
\(242\) 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 −0.756648 0.653822i \(-0.773165\pi\)
0.805799 + 0.592189i \(0.201736\pi\)
\(264\) −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 −0.971946 0.235204i \(-0.924424\pi\)
−0.422108 + 0.906545i \(0.638710\pi\)
\(270\) −0.393969 + 1.72609i −0.0239762 + 0.105046i
\(271\) −5.58091 + 6.99824i −0.339016 + 0.425113i −0.921891 0.387449i \(-0.873356\pi\)
0.582875 + 0.812562i \(0.301928\pi\)
\(272\) 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 0.606289 0.795244i \(-0.292657\pi\)
−0.243732 + 0.969843i \(0.578372\pi\)
\(278\) −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 0.277857 0.960622i \(-0.410376\pi\)
0.924286 + 0.381701i \(0.124661\pi\)
\(282\) 6.43900 + 3.10086i 0.383437 + 0.184653i
\(283\) −6.49934 28.4755i −0.386345 1.69269i −0.677099 0.735892i \(-0.736763\pi\)
0.290754 0.956798i \(-0.406094\pi\)
\(284\) 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 −0.925971 0.377595i \(-0.876751\pi\)
0.574175 + 0.818732i \(0.305323\pi\)
\(294\) 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 0.666149 0.745819i \(-0.267942\pi\)
−0.875352 + 0.483487i \(0.839370\pi\)
\(312\) 10.8802 5.23961i 0.615968 0.296634i
\(313\) −4.57673 + 20.0520i −0.258692 + 1.13340i 0.663959 + 0.747769i \(0.268875\pi\)
−0.922651 + 0.385635i \(0.873982\pi\)
\(314\) −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 0.991377 0.131038i \(-0.0418310\pi\)
−0.348355 + 0.937363i \(0.613260\pi\)
\(318\) −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 −0.752782 0.658270i \(-0.771289\pi\)
0.809276 + 0.587429i \(0.199860\pi\)
\(332\) 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 0.868385 + 0.495891i \(0.165158\pi\)
−0.567229 + 0.823560i \(0.691984\pi\)
\(348\) −17.5526 8.45287i −0.940916 0.453121i
\(349\) 0.163014 0.204413i 0.00872594 0.0109420i −0.777449 0.628946i \(-0.783487\pi\)
0.786175 + 0.618004i \(0.212058\pi\)
\(350\) 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 −0.0587644 0.998272i \(-0.518716\pi\)
0.743841 + 0.668356i \(0.233002\pi\)
\(354\) −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 0.456517 0.889715i \(-0.349097\pi\)
−0.410973 + 0.911647i \(0.634811\pi\)
\(360\) 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 −0.700396 0.713755i \(-0.746993\pi\)
0.121346 + 0.992610i \(0.461279\pi\)
\(368\) 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 0.871678 + 0.490079i \(0.163032\pi\)
−0.997992 + 0.0633395i \(0.979825\pi\)
\(374\) −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 −0.927221 0.374515i \(-0.877809\pi\)
0.571451 + 0.820636i \(0.306381\pi\)
\(380\) −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 0.608123 0.793843i \(-0.291923\pi\)
−0.241493 + 0.970403i \(0.577637\pi\)
\(384\) 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 −0.868959 0.494884i \(-0.835210\pi\)
0.997627 0.0688484i \(-0.0219325\pi\)
\(390\) 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 0.610578 0.791956i \(-0.290937\pi\)
−0.907967 + 0.419043i \(0.862366\pi\)
\(398\) 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 0.877989 + 0.478681i \(0.158885\pi\)
−0.998733 + 0.0503321i \(0.983972\pi\)
\(402\) −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 0.947157 + 0.320771i \(0.103942\pi\)
−0.714181 + 0.699961i \(0.753201\pi\)
\(410\) 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 0.437424 0.899255i \(-0.355891\pi\)
0.975796 + 0.218685i \(0.0701767\pi\)
\(420\) −4.94989 6.20696i −0.241530 0.302869i
\(421\) −13.7126 + 6.60364i −0.668311 + 0.321842i −0.737094 0.675790i \(-0.763803\pi\)
0.0687832 + 0.997632i \(0.478088\pi\)
\(422\) −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 −0.935793 0.352551i \(-0.885314\pi\)
0.690154 0.723662i \(-0.257543\pi\)
\(434\) −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 −0.464950 0.885337i \(-0.653928\pi\)
0.402293 + 0.915511i \(0.368213\pi\)
\(440\) 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 −0.988441 0.151605i \(-0.951556\pi\)
0.367753 + 0.929924i \(0.380127\pi\)
\(444\) −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 0.238781 0.971073i \(-0.423252\pi\)
−0.610338 + 0.792141i \(0.708966\pi\)
\(450\) 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 0.987073 + 0.160273i \(0.0512373\pi\)
−0.0633902 + 0.997989i \(0.520191\pi\)
\(458\) 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 0.420193 + 0.907435i \(0.361962\pi\)
−0.772302 + 0.635255i \(0.780895\pi\)
\(462\) 11.6664 5.61823i 0.542768 0.261384i
\(463\) −3.99061 5.00406i −0.185459 0.232559i 0.680407 0.732835i \(-0.261803\pi\)
−0.865866 + 0.500276i \(0.833232\pi\)
\(464\) 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 −0.849058 0.528300i \(-0.822830\pi\)
0.994195 0.107589i \(-0.0343132\pi\)
\(488\) −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 0.678520 + 0.734582i \(0.262622\pi\)
−0.292602 + 0.956234i \(0.594521\pi\)
\(492\) 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 0.394253 0.919002i \(-0.371003\pi\)
−0.983690 + 0.179871i \(0.942432\pi\)
\(500\) −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 −0.673824 0.738892i \(-0.735349\pi\)
0.870306 + 0.492511i \(0.163921\pi\)
\(504\) −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 −0.332993 + 0.942929i \(0.608059\pi\)
−0.845190 + 0.534466i \(0.820513\pi\)
\(522\) −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 0.945440 + 0.325795i \(0.105632\pi\)
−0.710455 + 0.703742i \(0.751511\pi\)
\(542\) −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 0.758572 + 0.651590i \(0.225898\pi\)
−0.966164 + 0.257930i \(0.916960\pi\)
\(548\) −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 −0.293940 0.955824i \(-0.594967\pi\)
0.679548 0.733631i \(-0.262176\pi\)
\(558\) −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 0.420930 0.907093i \(-0.361704\pi\)
−0.446748 + 0.894660i \(0.647418\pi\)
\(564\) 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 0.519167 0.854673i \(-0.326242\pi\)
−0.948770 + 0.315967i \(0.897671\pi\)
\(570\) −1.59515 + 0.768182i −0.0668133 + 0.0321756i
\(571\) −4.67821 + 20.4966i −0.195777 + 0.857755i 0.777639 + 0.628711i \(0.216417\pi\)
−0.973416 + 0.229044i \(0.926440\pi\)
\(572\) −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 −0.699460 0.714672i \(-0.746576\pi\)
0.320107 0.947381i \(-0.396281\pi\)
\(578\) 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 0.580339 0.814375i \(-0.302920\pi\)
−0.274868 + 0.961482i \(0.588634\pi\)
\(588\) 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 −0.0738765 0.997267i \(-0.523537\pi\)
0.733634 + 0.679545i \(0.237823\pi\)
\(594\) −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 −0.829584 0.558382i \(-0.811422\pi\)
0.505156 0.863028i \(-0.331435\pi\)
\(600\) −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 −0.140092 0.990139i \(-0.544740\pi\)
0.996487 0.0837472i \(-0.0266888\pi\)
\(608\) −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 0.351870 0.936049i \(-0.385546\pi\)
0.951220 + 0.308513i \(0.0998315\pi\)
\(614\) 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 0.360716 0.932676i \(-0.382532\pi\)
−0.504293 + 0.863533i \(0.668247\pi\)
\(618\) 2.19202 + 2.74871i 0.0881760 + 0.110569i
\(619\) 14.0233 + 17.5846i 0.563642 + 0.706785i 0.979227 0.202769i \(-0.0649942\pi\)
−0.415584 + 0.909555i \(0.636423\pi\)
\(620\) 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 0.896126 + 0.443800i \(0.146370\pi\)
−0.999939 + 0.0110357i \(0.996487\pi\)
\(632\) 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 −0.504599 0.863354i \(-0.668360\pi\)
−0.989610 + 0.143781i \(0.954074\pi\)
\(642\) −0.114761 0.502799i −0.00452924 0.0198439i
\(643\) −4.28083 + 18.7555i −0.168820 + 0.739647i 0.817652 + 0.575713i \(0.195275\pi\)
−0.986471 + 0.163934i \(0.947582\pi\)
\(644\) −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 0.858744 + 0.512406i \(0.171246\pi\)
−0.996026 + 0.0890667i \(0.971612\pi\)
\(648\) −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 −0.230850 + 0.972989i \(0.574151\pi\)
−0.897225 + 0.441573i \(0.854421\pi\)
\(654\) 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 −0.997583 0.0694821i \(-0.977865\pi\)
0.928939 + 0.370234i \(0.120722\pi\)
\(660\) −12.4242 5.98319i −0.483613 0.232896i
\(661\) 24.7521 + 31.0382i 0.962746 + 1.20725i 0.978264 + 0.207366i \(0.0664889\pi\)
−0.0155177 + 0.999880i \(0.504940\pi\)
\(662\) 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 −0.175787 0.984428i \(-0.556247\pi\)
−0.879258 + 0.476345i \(0.841961\pi\)
\(674\) −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 −0.218561 0.975823i \(-0.570136\pi\)
0.626659 + 0.779293i \(0.284422\pi\)
\(678\) 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 −0.939169 0.343456i \(-0.888402\pi\)
0.543829 + 0.839196i \(0.316974\pi\)
\(684\) −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 −0.989880 0.141906i \(-0.954677\pi\)
0.830281 0.557346i \(-0.188180\pi\)
\(692\) 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 −0.285739 0.958308i \(-0.592239\pi\)
0.997864 + 0.0653313i \(0.0208104\pi\)
\(702\) 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 0.975212 0.221270i \(-0.0710204\pi\)
−0.974642 + 0.223771i \(0.928163\pi\)
\(710\) −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 0.732613 + 0.680646i \(0.238301\pi\)
−0.955382 + 0.295372i \(0.904556\pi\)
\(720\) 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 0.559791 0.828634i \(-0.310882\pi\)
−0.298829 + 0.954307i \(0.596596\pi\)
\(728\) −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 −0.898929 0.438094i \(-0.855654\pi\)
0.999989 0.00467846i \(-0.00148920\pi\)
\(734\) −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 −0.824777 0.565458i \(-0.808700\pi\)
0.734811 + 0.678272i \(0.237271\pi\)
\(740\) 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 −0.795894 0.605436i \(-0.792999\pi\)
0.979765 0.200154i \(-0.0641441\pi\)
\(744\) 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 −0.475955 0.879469i \(-0.657898\pi\)
0.390844 + 0.920457i \(0.372183\pi\)
\(752\) 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 0.892458 0.451130i \(-0.148979\pi\)
−0.638410 + 0.769696i \(0.720408\pi\)
\(758\) −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 −0.885870 0.463933i \(-0.846438\pi\)
0.649426 + 0.760425i \(0.275009\pi\)
\(762\) −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 −0.872360 0.488864i \(-0.837411\pi\)
0.670725 + 0.741706i \(0.265983\pi\)
\(770\) −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