Properties

Label 637.2.bl.b.53.15
Level $637$
Weight $2$
Character 637.53
Analytic conductor $5.086$
Analytic rank $0$
Dimension $348$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(348\)
Relative dimension: \(29\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 53.15
Character \(\chi\) \(=\) 637.53
Dual form 637.2.bl.b.625.15

$q$-expansion

\(f(q)\) \(=\) \(q+(0.168293 + 0.114740i) q^{2} +(2.17291 + 2.01616i) q^{3} +(-0.715525 - 1.82313i) q^{4} +(0.954892 - 0.294545i) q^{5} +(0.134350 + 0.588628i) q^{6} +(-0.383890 + 2.61775i) q^{7} +(0.179417 - 0.786079i) q^{8} +(0.432422 + 5.77027i) q^{9} +O(q^{10})\) \(q+(0.168293 + 0.114740i) q^{2} +(2.17291 + 2.01616i) q^{3} +(-0.715525 - 1.82313i) q^{4} +(0.954892 - 0.294545i) q^{5} +(0.134350 + 0.588628i) q^{6} +(-0.383890 + 2.61775i) q^{7} +(0.179417 - 0.786079i) q^{8} +(0.432422 + 5.77027i) q^{9} +(0.194498 + 0.0599948i) q^{10} +(-0.109333 + 1.45895i) q^{11} +(2.12096 - 5.40411i) q^{12} +(-0.900969 + 0.433884i) q^{13} +(-0.364968 + 0.396503i) q^{14} +(2.66874 + 1.28520i) q^{15} +(-2.75099 + 2.55255i) q^{16} +(4.78751 - 0.721601i) q^{17} +(-0.589310 + 1.02072i) q^{18} +(0.372531 + 0.645243i) q^{19} +(-1.22024 - 1.53014i) q^{20} +(-6.11198 + 4.91415i) q^{21} +(-0.185801 + 0.232987i) q^{22} +(4.24105 + 0.639235i) q^{23} +(1.97472 - 1.34634i) q^{24} +(-3.30613 + 2.25408i) q^{25} +(-0.201411 - 0.0303578i) q^{26} +(-5.14977 + 6.45761i) q^{27} +(5.04718 - 1.17319i) q^{28} +(1.92439 + 2.41311i) q^{29} +(0.301668 + 0.522504i) q^{30} +(3.10680 - 5.38113i) q^{31} +(-2.35043 + 0.354270i) q^{32} +(-3.17906 + 2.94973i) q^{33} +(0.888504 + 0.427881i) q^{34} +(0.404473 + 2.61274i) q^{35} +(10.2105 - 4.91713i) q^{36} +(2.27071 - 5.78568i) q^{37} +(-0.0113409 + 0.151334i) q^{38} +(-2.83250 - 0.873712i) q^{39} +(-0.0602115 - 0.803467i) q^{40} +(1.39472 - 6.11066i) q^{41} +(-1.59246 + 0.125728i) q^{42} +(-0.925520 - 4.05497i) q^{43} +(2.73808 - 0.844587i) q^{44} +(2.11252 + 5.38262i) q^{45} +(0.640394 + 0.594199i) q^{46} +(-1.59745 - 1.08913i) q^{47} -11.1240 q^{48} +(-6.70526 - 2.00986i) q^{49} -0.815035 q^{50} +(11.8577 + 8.08444i) q^{51} +(1.43569 + 1.33213i) q^{52} +(-1.35157 - 3.44375i) q^{53} +(-1.60762 + 0.495886i) q^{54} +(0.325326 + 1.42534i) q^{55} +(1.98888 + 0.771438i) q^{56} +(-0.491440 + 2.15314i) q^{57} +(0.0469809 + 0.626917i) q^{58} +(-4.50835 - 1.39064i) q^{59} +(0.433530 - 5.78505i) q^{60} +(-1.97287 + 5.02679i) q^{61} +(1.14029 - 0.549133i) q^{62} +(-15.2712 - 1.08317i) q^{63} +(6.32609 + 3.04648i) q^{64} +(-0.732530 + 0.679688i) q^{65} +(-0.873468 + 0.131654i) q^{66} +(6.31976 - 10.9461i) q^{67} +(-4.74115 - 8.21192i) q^{68} +(7.92661 + 9.93965i) q^{69} +(-0.231717 + 0.486117i) q^{70} +(-6.88071 + 8.62814i) q^{71} +(4.61347 + 0.695369i) q^{72} +(-12.5906 + 8.58410i) q^{73} +(1.04600 - 0.713149i) q^{74} +(-11.7285 - 1.76779i) q^{75} +(0.909804 - 1.14086i) q^{76} +(-3.77720 - 0.846284i) q^{77} +(-0.376442 - 0.472043i) q^{78} +(-1.38801 - 2.40410i) q^{79} +(-1.87506 + 3.24770i) q^{80} +(-7.04412 + 1.06173i) q^{81} +(0.935861 - 0.868352i) q^{82} +(-13.0617 - 6.29017i) q^{83} +(13.3324 + 7.62672i) q^{84} +(4.35901 - 2.09919i) q^{85} +(0.309510 - 0.788619i) q^{86} +(-0.683702 + 9.12337i) q^{87} +(1.12723 + 0.347706i) q^{88} +(-0.106369 - 1.41940i) q^{89} +(-0.262081 + 1.14825i) q^{90} +(-0.789928 - 2.52508i) q^{91} +(-1.86917 - 8.18936i) q^{92} +(17.6000 - 5.42889i) q^{93} +(-0.143874 - 0.366586i) q^{94} +(0.545780 + 0.506410i) q^{95} +(-5.82154 - 3.96906i) q^{96} -3.09213 q^{97} +(-0.897839 - 1.10761i) q^{98} -8.46583 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 348q + 3q^{2} + 31q^{4} + q^{5} - 4q^{6} + 27q^{7} - 12q^{8} + 13q^{9} + O(q^{10}) \) \( 348q + 3q^{2} + 31q^{4} + q^{5} - 4q^{6} + 27q^{7} - 12q^{8} + 13q^{9} - 5q^{10} + 2q^{11} - 40q^{12} - 58q^{13} - 45q^{14} - 14q^{15} + 27q^{16} - 12q^{17} - 59q^{18} - 24q^{19} - 99q^{20} - 2q^{21} - 10q^{22} - 14q^{23} + 28q^{25} + 3q^{26} - 9q^{27} - 37q^{28} - 26q^{29} - 83q^{30} - 49q^{31} + 33q^{32} + 2q^{33} - 130q^{34} - 38q^{35} - 74q^{36} - 4q^{37} + 92q^{38} + 24q^{40} + 20q^{41} - 52q^{42} + 2q^{43} + 226q^{44} - 23q^{45} + 71q^{46} + 24q^{47} + 86q^{48} + 25q^{49} + 114q^{50} - 54q^{51} + 31q^{52} + 36q^{53} + 75q^{54} + 38q^{55} + 126q^{56} + 27q^{57} - 33q^{58} + q^{59} - 179q^{60} - 15q^{61} + 158q^{62} - 5q^{63} - 24q^{64} + q^{65} - 150q^{66} - 151q^{67} + 140q^{68} - 98q^{69} - 126q^{70} - 31q^{71} - 149q^{72} - 9q^{73} + 39q^{74} + 85q^{75} - 81q^{76} + 46q^{77} - 25q^{78} - 69q^{79} - 64q^{80} + 71q^{81} - 52q^{82} - q^{83} - 47q^{84} + 62q^{85} + 97q^{86} + 150q^{87} - 12q^{88} + 23q^{89} + 107q^{90} - q^{91} - 43q^{92} + 316q^{93} - 86q^{94} - 29q^{95} + 177q^{96} + 114q^{97} - 336q^{98} + 102q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.168293 + 0.114740i 0.119001 + 0.0811338i 0.621358 0.783527i \(-0.286581\pi\)
−0.502357 + 0.864660i \(0.667534\pi\)
\(3\) 2.17291 + 2.01616i 1.25453 + 1.16403i 0.979247 + 0.202670i \(0.0649618\pi\)
0.275282 + 0.961363i \(0.411229\pi\)
\(4\) −0.715525 1.82313i −0.357762 0.911564i
\(5\) 0.954892 0.294545i 0.427041 0.131725i −0.0737822 0.997274i \(-0.523507\pi\)
0.500823 + 0.865550i \(0.333031\pi\)
\(6\) 0.134350 + 0.588628i 0.0548483 + 0.240306i
\(7\) −0.383890 + 2.61775i −0.145097 + 0.989417i
\(8\) 0.179417 0.786079i 0.0634336 0.277921i
\(9\) 0.432422 + 5.77027i 0.144141 + 1.92342i
\(10\) 0.194498 + 0.0599948i 0.0615058 + 0.0189720i
\(11\) −0.109333 + 1.45895i −0.0329652 + 0.439890i 0.956163 + 0.292835i \(0.0945986\pi\)
−0.989128 + 0.147055i \(0.953020\pi\)
\(12\) 2.12096 5.40411i 0.612267 1.56003i
\(13\) −0.900969 + 0.433884i −0.249884 + 0.120338i
\(14\) −0.364968 + 0.396503i −0.0975419 + 0.105970i
\(15\) 2.66874 + 1.28520i 0.689067 + 0.331837i
\(16\) −2.75099 + 2.55255i −0.687748 + 0.638137i
\(17\) 4.78751 0.721601i 1.16114 0.175014i 0.459922 0.887959i \(-0.347877\pi\)
0.701220 + 0.712945i \(0.252639\pi\)
\(18\) −0.589310 + 1.02072i −0.138902 + 0.240585i
\(19\) 0.372531 + 0.645243i 0.0854645 + 0.148029i 0.905589 0.424156i \(-0.139429\pi\)
−0.820125 + 0.572185i \(0.806096\pi\)
\(20\) −1.22024 1.53014i −0.272854 0.342149i
\(21\) −6.11198 + 4.91415i −1.33374 + 1.07236i
\(22\) −0.185801 + 0.232987i −0.0396129 + 0.0496730i
\(23\) 4.24105 + 0.639235i 0.884320 + 0.133290i 0.575472 0.817822i \(-0.304818\pi\)
0.308848 + 0.951111i \(0.400057\pi\)
\(24\) 1.97472 1.34634i 0.403088 0.274821i
\(25\) −3.30613 + 2.25408i −0.661226 + 0.450817i
\(26\) −0.201411 0.0303578i −0.0395000 0.00595366i
\(27\) −5.14977 + 6.45761i −0.991074 + 1.24277i
\(28\) 5.04718 1.17319i 0.953827 0.221711i
\(29\) 1.92439 + 2.41311i 0.357351 + 0.448104i 0.927716 0.373288i \(-0.121770\pi\)
−0.570365 + 0.821391i \(0.693198\pi\)
\(30\) 0.301668 + 0.522504i 0.0550767 + 0.0953957i
\(31\) 3.10680 5.38113i 0.557997 0.966480i −0.439666 0.898161i \(-0.644903\pi\)
0.997664 0.0683184i \(-0.0217634\pi\)
\(32\) −2.35043 + 0.354270i −0.415501 + 0.0626268i
\(33\) −3.17906 + 2.94973i −0.553403 + 0.513483i
\(34\) 0.888504 + 0.427881i 0.152377 + 0.0733809i
\(35\) 0.404473 + 2.61274i 0.0683684 + 0.441634i
\(36\) 10.2105 4.91713i 1.70176 0.819522i
\(37\) 2.27071 5.78568i 0.373303 0.951159i −0.613567 0.789642i \(-0.710266\pi\)
0.986870 0.161517i \(-0.0516387\pi\)
\(38\) −0.0113409 + 0.151334i −0.00183974 + 0.0245497i
\(39\) −2.83250 0.873712i −0.453564 0.139906i
\(40\) −0.0602115 0.803467i −0.00952027 0.127039i
\(41\) 1.39472 6.11066i 0.217818 0.954324i −0.741268 0.671209i \(-0.765775\pi\)
0.959086 0.283115i \(-0.0913677\pi\)
\(42\) −1.59246 + 0.125728i −0.245722 + 0.0194003i
\(43\) −0.925520 4.05497i −0.141141 0.618377i −0.995171 0.0981544i \(-0.968706\pi\)
0.854031 0.520223i \(-0.174151\pi\)
\(44\) 2.73808 0.844587i 0.412782 0.127326i
\(45\) 2.11252 + 5.38262i 0.314916 + 0.802394i
\(46\) 0.640394 + 0.594199i 0.0944210 + 0.0876099i
\(47\) −1.59745 1.08913i −0.233013 0.158865i 0.441185 0.897416i \(-0.354558\pi\)
−0.674198 + 0.738551i \(0.735511\pi\)
\(48\) −11.1240 −1.60561
\(49\) −6.70526 2.00986i −0.957894 0.287122i
\(50\) −0.815035 −0.115263
\(51\) 11.8577 + 8.08444i 1.66041 + 1.13205i
\(52\) 1.43569 + 1.33213i 0.199094 + 0.184733i
\(53\) −1.35157 3.44375i −0.185653 0.473036i 0.807499 0.589870i \(-0.200821\pi\)
−0.993152 + 0.116834i \(0.962726\pi\)
\(54\) −1.60762 + 0.495886i −0.218770 + 0.0674815i
\(55\) 0.325326 + 1.42534i 0.0438669 + 0.192193i
\(56\) 1.98888 + 0.771438i 0.265776 + 0.103088i
\(57\) −0.491440 + 2.15314i −0.0650928 + 0.285190i
\(58\) 0.0469809 + 0.626917i 0.00616890 + 0.0823182i
\(59\) −4.50835 1.39064i −0.586937 0.181046i −0.0129580 0.999916i \(-0.504125\pi\)
−0.573979 + 0.818870i \(0.694601\pi\)
\(60\) 0.433530 5.78505i 0.0559685 0.746847i
\(61\) −1.97287 + 5.02679i −0.252600 + 0.643615i −0.999779 0.0210079i \(-0.993312\pi\)
0.747179 + 0.664623i \(0.231408\pi\)
\(62\) 1.14029 0.549133i 0.144817 0.0697400i
\(63\) −15.2712 1.08317i −1.92398 0.136467i
\(64\) 6.32609 + 3.04648i 0.790761 + 0.380810i
\(65\) −0.732530 + 0.679688i −0.0908591 + 0.0843049i
\(66\) −0.873468 + 0.131654i −0.107517 + 0.0162055i
\(67\) 6.31976 10.9461i 0.772082 1.33728i −0.164338 0.986404i \(-0.552549\pi\)
0.936420 0.350881i \(-0.114118\pi\)
\(68\) −4.74115 8.21192i −0.574949 0.995842i
\(69\) 7.92661 + 9.93965i 0.954251 + 1.19659i
\(70\) −0.231717 + 0.486117i −0.0276955 + 0.0581021i
\(71\) −6.88071 + 8.62814i −0.816590 + 1.02397i 0.182578 + 0.983191i \(0.441556\pi\)
−0.999168 + 0.0407800i \(0.987016\pi\)
\(72\) 4.61347 + 0.695369i 0.543703 + 0.0819500i
\(73\) −12.5906 + 8.58410i −1.47361 + 1.00469i −0.481900 + 0.876226i \(0.660053\pi\)
−0.991714 + 0.128467i \(0.958994\pi\)
\(74\) 1.04600 0.713149i 0.121595 0.0829018i
\(75\) −11.7285 1.76779i −1.35429 0.204127i
\(76\) 0.909804 1.14086i 0.104362 0.130865i
\(77\) −3.77720 0.846284i −0.430452 0.0964430i
\(78\) −0.376442 0.472043i −0.0426236 0.0534483i
\(79\) −1.38801 2.40410i −0.156163 0.270482i 0.777319 0.629107i \(-0.216579\pi\)
−0.933482 + 0.358625i \(0.883246\pi\)
\(80\) −1.87506 + 3.24770i −0.209638 + 0.363104i
\(81\) −7.04412 + 1.06173i −0.782680 + 0.117970i
\(82\) 0.935861 0.868352i 0.103349 0.0958935i
\(83\) −13.0617 6.29017i −1.43371 0.690436i −0.454023 0.890990i \(-0.650012\pi\)
−0.979683 + 0.200553i \(0.935726\pi\)
\(84\) 13.3324 + 7.62672i 1.45468 + 0.832143i
\(85\) 4.35901 2.09919i 0.472801 0.227689i
\(86\) 0.309510 0.788619i 0.0333753 0.0850390i
\(87\) −0.683702 + 9.12337i −0.0733005 + 0.978128i
\(88\) 1.12723 + 0.347706i 0.120164 + 0.0370655i
\(89\) −0.106369 1.41940i −0.0112751 0.150456i −1.00000 0.000710978i \(-0.999774\pi\)
0.988725 0.149745i \(-0.0478454\pi\)
\(90\) −0.262081 + 1.14825i −0.0276257 + 0.121036i
\(91\) −0.789928 2.52508i −0.0828069 0.264700i
\(92\) −1.86917 8.18936i −0.194874 0.853800i
\(93\) 17.6000 5.42889i 1.82504 0.562950i
\(94\) −0.143874 0.366586i −0.0148395 0.0378104i
\(95\) 0.545780 + 0.506410i 0.0559958 + 0.0519565i
\(96\) −5.82154 3.96906i −0.594158 0.405090i
\(97\) −3.09213 −0.313958 −0.156979 0.987602i \(-0.550176\pi\)
−0.156979 + 0.987602i \(0.550176\pi\)
\(98\) −0.897839 1.10761i −0.0906954 0.111886i
\(99\) −8.46583 −0.850847
\(100\) 6.47510 + 4.41465i 0.647510 + 0.441465i
\(101\) −0.510035 0.473243i −0.0507504 0.0470895i 0.654390 0.756157i \(-0.272926\pi\)
−0.705140 + 0.709068i \(0.749116\pi\)
\(102\) 1.06796 + 2.72112i 0.105744 + 0.269431i
\(103\) 16.4484 5.07367i 1.62071 0.499924i 0.654153 0.756363i \(-0.273025\pi\)
0.966560 + 0.256439i \(0.0825492\pi\)
\(104\) 0.179417 + 0.786079i 0.0175933 + 0.0770813i
\(105\) −4.38884 + 6.49274i −0.428307 + 0.633626i
\(106\) 0.167677 0.734641i 0.0162862 0.0713547i
\(107\) −1.11214 14.8405i −0.107515 1.43469i −0.746457 0.665433i \(-0.768247\pi\)
0.638942 0.769255i \(-0.279372\pi\)
\(108\) 15.4578 + 4.76811i 1.48743 + 0.458812i
\(109\) −0.0902910 + 1.20485i −0.00864831 + 0.115404i −0.999857 0.0169031i \(-0.994619\pi\)
0.991209 + 0.132307i \(0.0422384\pi\)
\(110\) −0.108795 + 0.277204i −0.0103732 + 0.0264304i
\(111\) 16.5989 7.99362i 1.57550 0.758721i
\(112\) −5.62586 8.18131i −0.531594 0.773061i
\(113\) −3.60697 1.73702i −0.339315 0.163406i 0.256464 0.966554i \(-0.417442\pi\)
−0.595779 + 0.803148i \(0.703157\pi\)
\(114\) −0.329758 + 0.305971i −0.0308847 + 0.0286568i
\(115\) 4.23803 0.638780i 0.395198 0.0595665i
\(116\) 3.02246 5.23506i 0.280628 0.486063i
\(117\) −2.89323 5.01122i −0.267479 0.463287i
\(118\) −0.599163 0.751326i −0.0551574 0.0691652i
\(119\) 0.0510970 + 12.8095i 0.00468405 + 1.17425i
\(120\) 1.48909 1.86726i 0.135934 0.170456i
\(121\) 8.76055 + 1.32044i 0.796414 + 0.120040i
\(122\) −0.908798 + 0.619608i −0.0822787 + 0.0560967i
\(123\) 15.3507 10.4659i 1.38412 0.943680i
\(124\) −12.0335 1.81375i −1.08064 0.162880i
\(125\) −5.60830 + 7.03258i −0.501621 + 0.629013i
\(126\) −2.44575 1.93451i −0.217885 0.172340i
\(127\) 9.90271 + 12.4176i 0.878724 + 1.10188i 0.994090 + 0.108562i \(0.0346245\pi\)
−0.115366 + 0.993323i \(0.536804\pi\)
\(128\) 3.09206 + 5.35561i 0.273302 + 0.473374i
\(129\) 6.16442 10.6771i 0.542747 0.940065i
\(130\) −0.201268 + 0.0303362i −0.0176523 + 0.00266066i
\(131\) 5.89841 5.47292i 0.515346 0.478171i −0.379094 0.925358i \(-0.623764\pi\)
0.894441 + 0.447187i \(0.147574\pi\)
\(132\) 7.65243 + 3.68522i 0.666059 + 0.320757i
\(133\) −1.83210 + 0.727492i −0.158863 + 0.0630816i
\(134\) 2.31954 1.11703i 0.200378 0.0964969i
\(135\) −3.01542 + 7.68316i −0.259526 + 0.661261i
\(136\) 0.291727 3.89283i 0.0250154 0.333807i
\(137\) −6.61164 2.03942i −0.564870 0.174239i −0.000849082 1.00000i \(-0.500270\pi\)
−0.564021 + 0.825760i \(0.690746\pi\)
\(138\) 0.193515 + 2.58228i 0.0164731 + 0.219818i
\(139\) 1.63890 7.18048i 0.139009 0.609040i −0.856644 0.515908i \(-0.827455\pi\)
0.995654 0.0931327i \(-0.0296881\pi\)
\(140\) 4.47395 2.60689i 0.378118 0.220322i
\(141\) −1.27527 5.58730i −0.107397 0.470536i
\(142\) −2.14797 + 0.662562i −0.180254 + 0.0556010i
\(143\) −0.534509 1.36191i −0.0446979 0.113888i
\(144\) −15.9185 14.7702i −1.32654 1.23085i
\(145\) 2.54836 + 1.73744i 0.211630 + 0.144287i
\(146\) −3.10385 −0.256877
\(147\) −10.5177 17.8861i −0.867486 1.47522i
\(148\) −12.1728 −1.00060
\(149\) 1.26562 + 0.862887i 0.103684 + 0.0706905i 0.614052 0.789266i \(-0.289538\pi\)
−0.510368 + 0.859956i \(0.670491\pi\)
\(150\) −1.77100 1.64324i −0.144601 0.134170i
\(151\) −4.50316 11.4739i −0.366462 0.933729i −0.988565 0.150794i \(-0.951817\pi\)
0.622103 0.782935i \(-0.286278\pi\)
\(152\) 0.574050 0.177071i 0.0465616 0.0143623i
\(153\) 6.23406 + 27.3132i 0.503994 + 2.20814i
\(154\) −0.538575 0.575822i −0.0433996 0.0464010i
\(155\) 1.38167 6.05349i 0.110978 0.486228i
\(156\) 0.433839 + 5.78918i 0.0347349 + 0.463505i
\(157\) −0.499128 0.153961i −0.0398348 0.0122874i 0.274774 0.961509i \(-0.411397\pi\)
−0.314609 + 0.949222i \(0.601873\pi\)
\(158\) 0.0422550 0.563854i 0.00336163 0.0448578i
\(159\) 4.00633 10.2080i 0.317723 0.809544i
\(160\) −2.14006 + 1.03060i −0.169187 + 0.0814759i
\(161\) −3.30145 + 10.8566i −0.260191 + 0.855621i
\(162\) −1.30730 0.629564i −0.102711 0.0494632i
\(163\) 1.31611 1.22117i 0.103086 0.0956495i −0.626947 0.779062i \(-0.715696\pi\)
0.730032 + 0.683413i \(0.239505\pi\)
\(164\) −12.1385 + 1.82958i −0.947854 + 0.142866i
\(165\) −2.16683 + 3.75305i −0.168687 + 0.292175i
\(166\) −1.47646 2.55730i −0.114595 0.198485i
\(167\) 3.55675 + 4.46003i 0.275230 + 0.345127i 0.900165 0.435550i \(-0.143446\pi\)
−0.624935 + 0.780677i \(0.714875\pi\)
\(168\) 2.76632 + 5.68618i 0.213426 + 0.438698i
\(169\) 0.623490 0.781831i 0.0479608 0.0601409i
\(170\) 0.974455 + 0.146875i 0.0747373 + 0.0112648i
\(171\) −3.56214 + 2.42862i −0.272403 + 0.185721i
\(172\) −6.73049 + 4.58877i −0.513195 + 0.349891i
\(173\) 12.4241 + 1.87263i 0.944585 + 0.142373i 0.603236 0.797563i \(-0.293878\pi\)
0.341350 + 0.939936i \(0.389116\pi\)
\(174\) −1.16188 + 1.45695i −0.0880821 + 0.110451i
\(175\) −4.63144 9.51995i −0.350104 0.719641i
\(176\) −3.42327 4.29264i −0.258038 0.323570i
\(177\) −6.99247 12.1113i −0.525586 0.910342i
\(178\) 0.144962 0.251081i 0.0108653 0.0188193i
\(179\) −17.3591 + 2.61646i −1.29748 + 0.195563i −0.761222 0.648492i \(-0.775400\pi\)
−0.536257 + 0.844055i \(0.680162\pi\)
\(180\) 8.30164 7.70280i 0.618768 0.574133i
\(181\) 6.29628 + 3.03213i 0.467999 + 0.225376i 0.652994 0.757363i \(-0.273513\pi\)
−0.184995 + 0.982739i \(0.559227\pi\)
\(182\) 0.156789 0.515590i 0.0116220 0.0382181i
\(183\) −14.4217 + 6.94513i −1.06608 + 0.513399i
\(184\) 1.26341 3.21911i 0.0931396 0.237316i
\(185\) 0.464140 6.19352i 0.0341243 0.455357i
\(186\) 3.58488 + 1.10579i 0.262856 + 0.0810804i
\(187\) 0.529347 + 7.06364i 0.0387097 + 0.516545i
\(188\) −0.842597 + 3.69166i −0.0614527 + 0.269242i
\(189\) −14.9275 15.9598i −1.08581 1.16091i
\(190\) 0.0337454 + 0.147848i 0.00244815 + 0.0107261i
\(191\) 24.5836 7.58304i 1.77881 0.548689i 0.781627 0.623746i \(-0.214390\pi\)
0.997179 + 0.0750563i \(0.0239137\pi\)
\(192\) 7.60380 + 19.3742i 0.548757 + 1.39821i
\(193\) −6.13370 5.69124i −0.441514 0.409665i 0.427841 0.903854i \(-0.359274\pi\)
−0.869354 + 0.494189i \(0.835465\pi\)
\(194\) −0.520385 0.354792i −0.0373614 0.0254726i
\(195\) −2.96208 −0.212119
\(196\) 1.13355 + 13.6626i 0.0809681 + 0.975903i
\(197\) −13.0826 −0.932094 −0.466047 0.884760i \(-0.654322\pi\)
−0.466047 + 0.884760i \(0.654322\pi\)
\(198\) −1.42474 0.971373i −0.101252 0.0690325i
\(199\) −11.3863 10.5650i −0.807156 0.748932i 0.164234 0.986421i \(-0.447485\pi\)
−0.971390 + 0.237490i \(0.923675\pi\)
\(200\) 1.17871 + 3.00330i 0.0833473 + 0.212365i
\(201\) 35.8015 11.0433i 2.52524 0.778935i
\(202\) −0.0315354 0.138165i −0.00221882 0.00972128i
\(203\) −7.05569 + 4.11122i −0.495212 + 0.288551i
\(204\) 6.25449 27.4027i 0.437902 1.91857i
\(205\) −0.468060 6.24582i −0.0326907 0.436227i
\(206\) 3.35032 + 1.03344i 0.233428 + 0.0720029i
\(207\) −1.85464 + 24.7484i −0.128906 + 1.72013i
\(208\) 1.37105 3.49338i 0.0950652 0.242222i
\(209\) −0.982107 + 0.472958i −0.0679338 + 0.0327152i
\(210\) −1.48359 + 0.589108i −0.102378 + 0.0406523i
\(211\) 17.4677 + 8.41199i 1.20252 + 0.579105i 0.924394 0.381438i \(-0.124571\pi\)
0.278130 + 0.960543i \(0.410285\pi\)
\(212\) −5.31132 + 4.92818i −0.364783 + 0.338469i
\(213\) −32.3469 + 4.87551i −2.21637 + 0.334064i
\(214\) 1.51564 2.62517i 0.103607 0.179453i
\(215\) −2.07814 3.59945i −0.141728 0.245481i
\(216\) 4.15223 + 5.20673i 0.282524 + 0.354273i
\(217\) 12.8938 + 10.1986i 0.875288 + 0.692325i
\(218\) −0.153440 + 0.192408i −0.0103923 + 0.0130315i
\(219\) −44.6651 6.73218i −3.01819 0.454919i
\(220\) 2.36581 1.61298i 0.159503 0.108747i
\(221\) −4.00031 + 2.72736i −0.269090 + 0.183462i
\(222\) 3.71068 + 0.559295i 0.249045 + 0.0375374i
\(223\) 4.14318 5.19538i 0.277448 0.347909i −0.623510 0.781815i \(-0.714294\pi\)
0.900958 + 0.433907i \(0.142865\pi\)
\(224\) −0.0250861 6.28885i −0.00167613 0.420191i
\(225\) −14.4363 18.1026i −0.962421 1.20684i
\(226\) −0.407722 0.706195i −0.0271213 0.0469754i
\(227\) −0.0882917 + 0.152926i −0.00586013 + 0.0101500i −0.868941 0.494916i \(-0.835199\pi\)
0.863080 + 0.505066i \(0.168532\pi\)
\(228\) 4.27708 0.644666i 0.283257 0.0426941i
\(229\) 3.63725 3.37488i 0.240357 0.223018i −0.550792 0.834643i \(-0.685674\pi\)
0.791148 + 0.611624i \(0.209484\pi\)
\(230\) 0.786526 + 0.378771i 0.0518620 + 0.0249754i
\(231\) −6.50127 9.45436i −0.427752 0.622051i
\(232\) 2.24217 1.07977i 0.147205 0.0708904i
\(233\) −5.61694 + 14.3117i −0.367978 + 0.937592i 0.620223 + 0.784426i \(0.287042\pi\)
−0.988200 + 0.153166i \(0.951053\pi\)
\(234\) 0.0880784 1.17532i 0.00575787 0.0768334i
\(235\) −1.84619 0.569475i −0.120432 0.0371485i
\(236\) 0.690519 + 9.21433i 0.0449490 + 0.599802i
\(237\) 1.83104 8.02233i 0.118939 0.521106i
\(238\) −1.46117 + 2.16162i −0.0947138 + 0.140117i
\(239\) −5.98366 26.2161i −0.387051 1.69578i −0.674740 0.738056i \(-0.735744\pi\)
0.287689 0.957724i \(-0.407113\pi\)
\(240\) −10.6222 + 3.27652i −0.685662 + 0.211499i
\(241\) 11.0457 + 28.1440i 0.711516 + 1.81291i 0.567564 + 0.823330i \(0.307886\pi\)
0.143953 + 0.989585i \(0.454019\pi\)
\(242\) 1.32284 + 1.22741i 0.0850351 + 0.0789010i
\(243\) 3.02633 + 2.06332i 0.194139 + 0.132362i
\(244\) 10.5761 0.677067
\(245\) −6.99479 + 0.0558050i −0.446881 + 0.00356525i
\(246\) 3.78428 0.241277
\(247\) −0.615599 0.419708i −0.0391696 0.0267054i
\(248\) −3.67258 3.40765i −0.233209 0.216386i
\(249\) −15.6998 40.0025i −0.994936 2.53505i
\(250\) −1.75076 + 0.540038i −0.110728 + 0.0341550i
\(251\) −1.18269 5.18170i −0.0746506 0.327066i 0.923789 0.382901i \(-0.125075\pi\)
−0.998440 + 0.0558353i \(0.982218\pi\)
\(252\) 8.95212 + 28.6163i 0.563931 + 1.80266i
\(253\) −1.39630 + 6.11759i −0.0877847 + 0.384610i
\(254\) 0.241759 + 3.22604i 0.0151693 + 0.202420i
\(255\) 13.7041 + 4.22714i 0.858181 + 0.264714i
\(256\) 0.955292 12.7475i 0.0597058 0.796718i
\(257\) −8.56230 + 21.8164i −0.534102 + 1.36087i 0.368193 + 0.929749i \(0.379976\pi\)
−0.902295 + 0.431119i \(0.858119\pi\)
\(258\) 2.26252 1.08957i 0.140859 0.0678339i
\(259\) 14.2738 + 8.16522i 0.886929 + 0.507362i
\(260\) 1.76330 + 0.849161i 0.109355 + 0.0526627i
\(261\) −13.0922 + 12.1478i −0.810385 + 0.751927i
\(262\) 1.62063 0.244270i 0.100123 0.0150911i
\(263\) −15.1267 + 26.2003i −0.932755 + 1.61558i −0.154167 + 0.988045i \(0.549269\pi\)
−0.778589 + 0.627535i \(0.784064\pi\)
\(264\) 1.74834 + 3.02822i 0.107603 + 0.186374i
\(265\) −2.30495 2.89031i −0.141592 0.177551i
\(266\) −0.391802 0.0877835i −0.0240230 0.00538235i
\(267\) 2.63062 3.29869i 0.160991 0.201876i
\(268\) −24.4782 3.68949i −1.49524 0.225372i
\(269\) −23.0413 + 15.7093i −1.40485 + 0.957813i −0.405816 + 0.913955i \(0.633013\pi\)
−0.999038 + 0.0438579i \(0.986035\pi\)
\(270\) −1.38904 + 0.947035i −0.0845346 + 0.0576347i
\(271\) 17.8010 + 2.68307i 1.08133 + 0.162985i 0.665456 0.746437i \(-0.268237\pi\)
0.415876 + 0.909421i \(0.363475\pi\)
\(272\) −11.3285 + 14.2055i −0.686890 + 0.861333i
\(273\) 3.37453 7.07939i 0.204236 0.428464i
\(274\) −0.878691 1.10184i −0.0530837 0.0665648i
\(275\) −2.92713 5.06993i −0.176512 0.305728i
\(276\) 12.4496 21.5633i 0.749376 1.29796i
\(277\) 5.15659 0.777231i 0.309830 0.0466993i 0.00771290 0.999970i \(-0.497545\pi\)
0.302117 + 0.953271i \(0.402307\pi\)
\(278\) 1.09971 1.02038i 0.0659561 0.0611983i
\(279\) 32.3940 + 15.6001i 1.93938 + 0.933957i
\(280\) 2.12639 + 0.150824i 0.127076 + 0.00901345i
\(281\) −6.95924 + 3.35140i −0.415154 + 0.199927i −0.629788 0.776767i \(-0.716858\pi\)
0.214634 + 0.976694i \(0.431144\pi\)
\(282\) 0.426471 1.08663i 0.0253960 0.0647079i
\(283\) −0.410701 + 5.48043i −0.0244137 + 0.325778i 0.971603 + 0.236615i \(0.0760381\pi\)
−0.996017 + 0.0891624i \(0.971581\pi\)
\(284\) 20.6535 + 6.37076i 1.22556 + 0.378035i
\(285\) 0.164925 + 2.20076i 0.00976929 + 0.130362i
\(286\) 0.0663115 0.290530i 0.00392108 0.0171794i
\(287\) 15.4608 + 5.99684i 0.912620 + 0.353982i
\(288\) −3.06062 13.4094i −0.180349 0.790159i
\(289\) 6.15483 1.89851i 0.362049 0.111677i
\(290\) 0.229517 + 0.584800i 0.0134777 + 0.0343406i
\(291\) −6.71891 6.23424i −0.393870 0.365458i
\(292\) 24.6588 + 16.8121i 1.44305 + 0.983852i
\(293\) −18.4065 −1.07532 −0.537660 0.843162i \(-0.680692\pi\)
−0.537660 + 0.843162i \(0.680692\pi\)
\(294\) 0.282203 4.21693i 0.0164584 0.245936i
\(295\) −4.71459 −0.274494
\(296\) −4.14059 2.82301i −0.240667 0.164084i
\(297\) −8.85830 8.21930i −0.514010 0.476932i
\(298\) 0.113988 + 0.290436i 0.00660314 + 0.0168245i
\(299\) −4.09841 + 1.26419i −0.237017 + 0.0731100i
\(300\) 5.16914 + 22.6475i 0.298441 + 1.30755i
\(301\) 10.9702 0.866122i 0.632312 0.0499224i
\(302\) 0.558664 2.44767i 0.0321475 0.140847i
\(303\) −0.154123 2.05663i −0.00885414 0.118150i
\(304\) −2.67184 0.824154i −0.153241 0.0472685i
\(305\) −0.403261 + 5.38114i −0.0230907 + 0.308123i
\(306\) −2.08478 + 5.31193i −0.119179 + 0.303663i
\(307\) 21.7944 10.4956i 1.24387 0.599018i 0.308010 0.951383i \(-0.400337\pi\)
0.935863 + 0.352365i \(0.114623\pi\)
\(308\) 1.15980 + 7.49186i 0.0660856 + 0.426888i
\(309\) 45.9703 + 22.1381i 2.61516 + 1.25939i
\(310\) 0.927106 0.860229i 0.0526561 0.0488577i
\(311\) 8.50424 1.28181i 0.482231 0.0726846i 0.0965720 0.995326i \(-0.469212\pi\)
0.385659 + 0.922641i \(0.373974\pi\)
\(312\) −1.19501 + 2.06981i −0.0676539 + 0.117180i
\(313\) 6.56756 + 11.3754i 0.371221 + 0.642973i 0.989754 0.142786i \(-0.0456060\pi\)
−0.618533 + 0.785759i \(0.712273\pi\)
\(314\) −0.0663345 0.0831808i −0.00374347 0.00469416i
\(315\) −14.9013 + 3.46373i −0.839596 + 0.195159i
\(316\) −3.38982 + 4.25070i −0.190692 + 0.239121i
\(317\) 34.6343 + 5.22027i 1.94525 + 0.293200i 0.999498 0.0316799i \(-0.0100857\pi\)
0.945755 + 0.324880i \(0.105324\pi\)
\(318\) 1.84550 1.25824i 0.103491 0.0705588i
\(319\) −3.73101 + 2.54376i −0.208897 + 0.142423i
\(320\) 6.93806 + 1.04574i 0.387849 + 0.0584589i
\(321\) 27.5044 34.4894i 1.53514 1.92501i
\(322\) −1.80131 + 1.44829i −0.100383 + 0.0807099i
\(323\) 2.24910 + 2.82029i 0.125144 + 0.156925i
\(324\) 6.97591 + 12.0826i 0.387551 + 0.671258i
\(325\) 2.00071 3.46534i 0.110980 0.192222i
\(326\) 0.361610 0.0545040i 0.0200277 0.00301869i
\(327\) −2.62537 + 2.43599i −0.145183 + 0.134710i
\(328\) −4.55322 2.19271i −0.251409 0.121072i
\(329\) 3.46431 3.76364i 0.190994 0.207496i
\(330\) −0.795290 + 0.382991i −0.0437793 + 0.0210830i
\(331\) 5.64820 14.3914i 0.310453 0.791021i −0.687446 0.726235i \(-0.741268\pi\)
0.997899 0.0647861i \(-0.0206365\pi\)
\(332\) −2.12183 + 28.3139i −0.116451 + 1.55393i
\(333\) 34.3668 + 10.6008i 1.88329 + 0.580918i
\(334\) 0.0868323 + 1.15870i 0.00475125 + 0.0634010i
\(335\) 2.81055 12.3138i 0.153557 0.672777i
\(336\) 4.27039 29.1199i 0.232969 1.58862i
\(337\) −5.33624 23.3796i −0.290684 1.27357i −0.883576 0.468287i \(-0.844871\pi\)
0.592893 0.805282i \(-0.297986\pi\)
\(338\) 0.194637 0.0600375i 0.0105869 0.00326561i
\(339\) −4.33549 11.0466i −0.235471 0.599971i
\(340\) −6.94607 6.44501i −0.376704 0.349530i
\(341\) 7.51113 + 5.12100i 0.406750 + 0.277318i
\(342\) −0.878145 −0.0474847
\(343\) 7.83539 16.7811i 0.423071 0.906096i
\(344\) −3.35358 −0.180813
\(345\) 10.4967 + 7.15655i 0.565125 + 0.385296i
\(346\) 1.87602 + 1.74070i 0.100856 + 0.0935804i
\(347\) 12.6199 + 32.1551i 0.677473 + 1.72617i 0.687459 + 0.726224i \(0.258726\pi\)
−0.00998523 + 0.999950i \(0.503178\pi\)
\(348\) 17.1223 5.28152i 0.917850 0.283119i
\(349\) 4.58575 + 20.0915i 0.245469 + 1.07547i 0.935953 + 0.352124i \(0.114541\pi\)
−0.690484 + 0.723348i \(0.742602\pi\)
\(350\) 0.312883 2.13356i 0.0167243 0.114044i
\(351\) 1.83793 8.05251i 0.0981016 0.429811i
\(352\) −0.259883 3.46790i −0.0138518 0.184840i
\(353\) −34.0599 10.5061i −1.81283 0.559183i −0.813090 0.582138i \(-0.802216\pi\)
−0.999737 + 0.0229547i \(0.992693\pi\)
\(354\) 0.212872 2.84057i 0.0113140 0.150975i
\(355\) −4.02896 + 10.2656i −0.213835 + 0.544842i
\(356\) −2.51164 + 1.20954i −0.133117 + 0.0641056i
\(357\) −25.7151 + 27.9370i −1.36099 + 1.47858i
\(358\) −3.22163 1.55146i −0.170269 0.0819970i
\(359\) 3.80959 3.53479i 0.201063 0.186559i −0.573215 0.819405i \(-0.694304\pi\)
0.774278 + 0.632846i \(0.218113\pi\)
\(360\) 4.61019 0.694874i 0.242978 0.0366231i
\(361\) 9.22244 15.9737i 0.485392 0.840723i
\(362\) 0.711714 + 1.23273i 0.0374069 + 0.0647906i
\(363\) 16.3737 + 20.5319i 0.859394 + 1.07765i
\(364\) −4.03832 + 3.24689i −0.211666 + 0.170183i
\(365\) −9.49422 + 11.9054i −0.496950 + 0.623156i
\(366\) −3.22397 0.485935i −0.168519 0.0254002i
\(367\) −20.0275 + 13.6545i −1.04543 + 0.712761i −0.958974 0.283495i \(-0.908506\pi\)
−0.0864546 + 0.996256i \(0.527554\pi\)
\(368\) −13.2988 + 9.06695i −0.693246 + 0.472647i
\(369\) 35.8633 + 5.40552i 1.86697 + 0.281400i
\(370\) 0.788760 0.989073i 0.0410057 0.0514195i
\(371\) 9.53375 2.21606i 0.494968 0.115052i
\(372\) −22.4908 28.2026i −1.16609 1.46224i
\(373\) 16.7499 + 29.0116i 0.867275 + 1.50216i 0.864770 + 0.502168i \(0.167464\pi\)
0.00250470 + 0.999997i \(0.499203\pi\)
\(374\) −0.721400 + 1.24950i −0.0373027 + 0.0646102i
\(375\) −26.3652 + 3.97391i −1.36149 + 0.205212i
\(376\) −1.14275 + 1.06032i −0.0589328 + 0.0546817i
\(377\) −2.78083 1.33918i −0.143220 0.0689711i
\(378\) −0.680957 4.39872i −0.0350246 0.226246i
\(379\) −28.6340 + 13.7894i −1.47083 + 0.708315i −0.986070 0.166332i \(-0.946808\pi\)
−0.484761 + 0.874647i \(0.661093\pi\)
\(380\) 0.532730 1.35738i 0.0273285 0.0696319i
\(381\) −3.51825 + 46.9478i −0.180246 + 2.40521i
\(382\) 5.00734 + 1.54456i 0.256198 + 0.0790265i
\(383\) −0.0977114 1.30387i −0.00499282 0.0666246i 0.994151 0.108001i \(-0.0344449\pi\)
−0.999144 + 0.0413761i \(0.986826\pi\)
\(384\) −4.07902 + 17.8714i −0.208157 + 0.911994i
\(385\) −3.85609 + 0.304447i −0.196524 + 0.0155160i
\(386\) −0.379245 1.66158i −0.0193031 0.0845723i
\(387\) 22.9981 7.09397i 1.16906 0.360607i
\(388\) 2.21249 + 5.63734i 0.112322 + 0.286193i
\(389\) 4.60498 + 4.27279i 0.233482 + 0.216639i 0.788233 0.615377i \(-0.210996\pi\)
−0.554751 + 0.832016i \(0.687187\pi\)
\(390\) −0.498499 0.339871i −0.0252425 0.0172100i
\(391\) 20.7653 1.05015
\(392\) −2.78294 + 4.91026i −0.140560 + 0.248005i
\(393\) 23.8510 1.20312
\(394\) −2.20171 1.50110i −0.110920 0.0756243i
\(395\) −2.03351 1.88682i −0.102317 0.0949363i
\(396\) 6.05751 + 15.4343i 0.304401 + 0.775602i
\(397\) −25.3248 + 7.81167i −1.27102 + 0.392057i −0.855630 0.517588i \(-0.826830\pi\)
−0.415387 + 0.909645i \(0.636354\pi\)
\(398\) −0.704015 3.08449i −0.0352891 0.154612i
\(399\) −5.44772 2.11303i −0.272727 0.105784i
\(400\) 3.34149 14.6400i 0.167074 0.732001i
\(401\) 2.16229 + 28.8537i 0.107979 + 1.44089i 0.743466 + 0.668774i \(0.233180\pi\)
−0.635487 + 0.772112i \(0.719200\pi\)
\(402\) 7.29227 + 2.24937i 0.363705 + 0.112188i
\(403\) −0.464342 + 6.19622i −0.0231305 + 0.308656i
\(404\) −0.497840 + 1.26848i −0.0247685 + 0.0631090i
\(405\) −6.41365 + 3.08865i −0.318697 + 0.153476i
\(406\) −1.65915 0.117682i −0.0823421 0.00584048i
\(407\) 8.19275 + 3.94542i 0.406100 + 0.195567i
\(408\) 8.48248 7.87059i 0.419945 0.389652i
\(409\) −24.6915 + 3.72164i −1.22091 + 0.184023i −0.727707 0.685888i \(-0.759414\pi\)
−0.493208 + 0.869911i \(0.664176\pi\)
\(410\) 0.637877 1.10484i 0.0315025 0.0545640i
\(411\) −10.2547 17.7616i −0.505826 0.876117i
\(412\) −21.0192 26.3573i −1.03554 1.29853i
\(413\) 5.37107 11.2679i 0.264293 0.554457i
\(414\) −3.15177 + 3.95219i −0.154901 + 0.194240i
\(415\) −14.3252 2.15918i −0.703198 0.105990i
\(416\) 1.96395 1.33900i 0.0962907 0.0656499i
\(417\) 18.0382 12.2982i 0.883335 0.602247i
\(418\) −0.219550 0.0330918i −0.0107385 0.00161857i
\(419\) −13.7951 + 17.2985i −0.673935 + 0.845087i −0.994780 0.102044i \(-0.967462\pi\)
0.320845 + 0.947132i \(0.396033\pi\)
\(420\) 14.9774 + 3.35570i 0.730823 + 0.163741i
\(421\) −13.9448 17.4862i −0.679628 0.852227i 0.315692 0.948862i \(-0.397763\pi\)
−0.995320 + 0.0966350i \(0.969192\pi\)
\(422\) 1.97450 + 3.41993i 0.0961171 + 0.166480i
\(423\) 5.59378 9.68871i 0.271979 0.471081i
\(424\) −2.94956 + 0.444574i −0.143243 + 0.0215904i
\(425\) −14.2016 + 13.1772i −0.688879 + 0.639186i
\(426\) −6.00319 2.89098i −0.290855 0.140069i
\(427\) −12.4015 7.09422i −0.600152 0.343313i
\(428\) −26.2604 + 12.6463i −1.26934 + 0.611284i
\(429\) 1.58439 4.03696i 0.0764951 0.194906i
\(430\) 0.0632649 0.844211i 0.00305090 0.0407115i
\(431\) 5.57952 + 1.72105i 0.268756 + 0.0829002i 0.426204 0.904627i \(-0.359851\pi\)
−0.157448 + 0.987527i \(0.550327\pi\)
\(432\) −2.31637 30.9099i −0.111447 1.48715i
\(433\) 7.64382 33.4898i 0.367338 1.60941i −0.366722 0.930331i \(-0.619520\pi\)
0.734060 0.679084i \(-0.237623\pi\)
\(434\) 0.999750 + 3.19580i 0.0479896 + 0.153403i
\(435\) 2.03438 + 8.91321i 0.0975412 + 0.427356i
\(436\) 2.26120 0.697488i 0.108292 0.0334036i
\(437\) 1.16746 + 2.97464i 0.0558472 + 0.142296i
\(438\) −6.74439 6.25788i −0.322259 0.299013i
\(439\) −20.6552 14.0825i −0.985817 0.672119i −0.0408097 0.999167i \(-0.512994\pi\)
−0.945008 + 0.327048i \(0.893946\pi\)
\(440\) 1.17880 0.0561972
\(441\) 8.69792 39.5603i 0.414187 1.88382i
\(442\) −0.986165 −0.0469071
\(443\) −34.5746 23.5726i −1.64269 1.11997i −0.882569 0.470182i \(-0.844188\pi\)
−0.760119 0.649784i \(-0.774859\pi\)
\(444\) −26.4503 24.5423i −1.25528 1.16473i
\(445\) −0.519649 1.32404i −0.0246337 0.0627657i
\(446\) 1.29339 0.398958i 0.0612438 0.0188912i
\(447\) 1.01036 + 4.42668i 0.0477884 + 0.209375i
\(448\) −10.4035 + 15.3906i −0.491517 + 0.727138i
\(449\) 3.69370 16.1832i 0.174317 0.763731i −0.809872 0.586607i \(-0.800463\pi\)
0.984189 0.177124i \(-0.0566794\pi\)
\(450\) −0.352439 4.70297i −0.0166141 0.221700i
\(451\) 8.76266 + 2.70292i 0.412617 + 0.127276i
\(452\) −0.585942 + 7.81885i −0.0275604 + 0.367768i
\(453\) 13.3482 34.0108i 0.627155 1.59796i
\(454\) −0.0324057 + 0.0156058i −0.00152087 + 0.000732414i
\(455\) −1.49804 2.17851i −0.0702294 0.102130i
\(456\) 1.60436 + 0.772620i 0.0751311 + 0.0361813i
\(457\) 0.168651 0.156485i 0.00788915 0.00732006i −0.676218 0.736701i \(-0.736382\pi\)
0.684107 + 0.729381i \(0.260192\pi\)
\(458\) 0.999361 0.150629i 0.0466971 0.00703845i
\(459\) −19.9948 + 34.6320i −0.933276 + 1.61648i
\(460\) −4.19699 7.26940i −0.195686 0.338937i
\(461\) 8.25009 + 10.3453i 0.384245 + 0.481828i 0.935911 0.352237i \(-0.114579\pi\)
−0.551666 + 0.834065i \(0.686008\pi\)
\(462\) −0.00932250 2.33706i −0.000433722 0.108730i
\(463\) −17.1266 + 21.4761i −0.795941 + 0.998078i 0.203877 + 0.978997i \(0.434646\pi\)
−0.999818 + 0.0190818i \(0.993926\pi\)
\(464\) −11.4536 1.72635i −0.531719 0.0801437i
\(465\) 15.2071 10.3680i 0.705211 0.480805i
\(466\) −2.58743 + 1.76408i −0.119860 + 0.0817194i
\(467\) −22.8491 3.44395i −1.05733 0.159367i −0.402712 0.915327i \(-0.631932\pi\)
−0.654618 + 0.755960i \(0.727170\pi\)
\(468\) −7.06591 + 8.86037i −0.326622 + 0.409571i
\(469\) 26.2282 + 20.7457i 1.21111 + 0.957947i
\(470\) −0.245360 0.307672i −0.0113176 0.0141919i
\(471\) −0.774150 1.34087i −0.0356710 0.0617839i
\(472\) −1.90203 + 3.29441i −0.0875480 + 0.151638i
\(473\) 6.01719 0.906946i 0.276671 0.0417014i
\(474\) 1.22864 1.14001i 0.0564333 0.0523624i
\(475\) −2.68607 1.29354i −0.123245 0.0593518i
\(476\) 23.3169 9.25870i 1.06873 0.424372i
\(477\) 19.2870 9.28811i 0.883089 0.425273i
\(478\) 2.00104 5.09857i 0.0915255 0.233203i
\(479\) −2.70672 + 36.1187i −0.123673 + 1.65031i 0.498108 + 0.867115i \(0.334028\pi\)
−0.621781 + 0.783191i \(0.713591\pi\)
\(480\) −6.72801 2.07532i −0.307090 0.0947248i
\(481\) 0.464471 + 6.19794i 0.0211781 + 0.282602i
\(482\) −1.37034 + 6.00384i −0.0624171 + 0.273467i
\(483\) −29.0625 + 16.9342i −1.32239 + 0.770531i
\(484\) −3.86106 16.9164i −0.175503 0.768928i
\(485\) −2.95265 + 0.910771i −0.134073 + 0.0413560i
\(486\) 0.272565 + 0.694485i 0.0123638 + 0.0315025i
\(487\) 11.8279 + 10.9746i 0.535971 + 0.497309i 0.901078 0.433657i \(-0.142777\pi\)
−0.365107 + 0.930966i \(0.618968\pi\)
\(488\) 3.59749 + 2.45272i 0.162851 + 0.111030i
\(489\) 5.32187 0.240663
\(490\) −1.18358 0.793194i −0.0534687 0.0358329i
\(491\) 19.6608 0.887278 0.443639 0.896206i \(-0.353687\pi\)
0.443639 + 0.896206i \(0.353687\pi\)
\(492\) −30.0645 20.4976i −1.35541 0.924104i
\(493\) 10.9544 + 10.1642i 0.493360 + 0.457771i
\(494\) −0.0554437 0.141268i −0.00249453 0.00635596i
\(495\) −8.08395 + 2.49357i −0.363346 + 0.112078i
\(496\) 5.18882 + 22.7337i 0.232985 + 1.02077i
\(497\) −19.9449 21.3242i −0.894651 0.956523i
\(498\) 1.94773 8.53356i 0.0872798 0.382398i
\(499\) −1.74508 23.2865i −0.0781205 1.04245i −0.889203 0.457513i \(-0.848740\pi\)
0.811082 0.584932i \(-0.198879\pi\)
\(500\) 16.8342 + 5.19265i 0.752847 + 0.232223i
\(501\) −1.26365 + 16.8622i −0.0564557 + 0.753349i
\(502\) 0.395512 1.00775i 0.0176526 0.0449780i
\(503\) −30.2479 + 14.5666i −1.34869 + 0.649494i −0.962084 0.272752i \(-0.912066\pi\)
−0.386604 + 0.922246i \(0.626352\pi\)
\(504\) −3.59137 + 11.8100i −0.159972 + 0.526059i
\(505\) −0.626420 0.301668i −0.0278753 0.0134240i
\(506\) −0.936924 + 0.869338i −0.0416513 + 0.0386468i
\(507\) 2.93109 0.441790i 0.130174 0.0196206i
\(508\) 15.5532 26.9390i 0.690064 1.19523i
\(509\) −0.221615 0.383848i −0.00982291 0.0170138i 0.861072 0.508483i \(-0.169793\pi\)
−0.870895 + 0.491469i \(0.836460\pi\)
\(510\) 1.82128 + 2.28381i 0.0806475 + 0.101129i
\(511\) −17.6377 36.2543i −0.780244 1.60380i
\(512\) 9.33490 11.7056i 0.412548 0.517319i
\(513\) −6.08518 0.917193i −0.268667 0.0404950i
\(514\) −3.94420 + 2.68911i −0.173971 + 0.118612i
\(515\) 14.2121 9.68962i 0.626258 0.426976i
\(516\) −23.8765 3.59880i −1.05110 0.158428i
\(517\) 1.76364 2.21153i 0.0775647 0.0972630i
\(518\) 1.46530 + 3.01193i 0.0643816 + 0.132337i
\(519\) 23.2209 + 29.1180i 1.01928 + 1.27814i
\(520\) 0.402860 + 0.697774i 0.0176666 + 0.0305994i
\(521\) 17.9319 31.0589i 0.785610 1.36072i −0.143024 0.989719i \(-0.545683\pi\)
0.928634 0.370997i \(-0.120984\pi\)
\(522\) −3.59717 + 0.542185i −0.157444 + 0.0237308i
\(523\) 6.35846 5.89979i 0.278036 0.257980i −0.528812 0.848739i \(-0.677362\pi\)
0.806848 + 0.590759i \(0.201172\pi\)
\(524\) −14.1983 6.83754i −0.620255 0.298699i
\(525\) 9.13010 30.0237i 0.398470 1.31034i
\(526\) −5.55197 + 2.67369i −0.242077 + 0.116578i
\(527\) 10.9908 28.0041i 0.478767 1.21988i
\(528\) 1.21622 16.2294i 0.0529294 0.706293i
\(529\) −4.40031 1.35732i −0.191318 0.0590137i
\(530\) −0.0562715 0.750891i −0.00244428 0.0326166i
\(531\) 6.07487 26.6158i 0.263627 1.15503i
\(532\) 2.63722 + 2.81961i 0.114338 + 0.122245i
\(533\) 1.39472 + 6.11066i 0.0604119 + 0.264682i
\(534\) 0.821208 0.253309i 0.0355372 0.0109618i
\(535\) −5.43318 13.8435i −0.234897 0.598508i
\(536\) −7.47066 6.93176i −0.322683 0.299406i
\(537\) −42.9949 29.3134i −1.85537 1.26497i
\(538\) −5.68019 −0.244890
\(539\) 3.66539 9.56290i 0.157880 0.411903i
\(540\) 16.1650 0.695630
\(541\) 27.8297 + 18.9739i 1.19649 + 0.815753i 0.986789 0.162012i \(-0.0517984\pi\)
0.209702 + 0.977765i \(0.432751\pi\)
\(542\) 2.68793 + 2.49403i 0.115456 + 0.107128i
\(543\) 7.56797 + 19.2829i 0.324773 + 0.827507i
\(544\) −10.9971 + 3.39215i −0.471496 + 0.145437i
\(545\) 0.268664 + 1.17710i 0.0115083 + 0.0504212i
\(546\) 1.38020 0.804219i 0.0590673 0.0344174i
\(547\) −1.50888 + 6.61083i −0.0645150 + 0.282659i −0.996887 0.0788410i \(-0.974878\pi\)
0.932372 + 0.361500i \(0.117735\pi\)
\(548\) 1.01267 + 13.5131i 0.0432590 + 0.577252i
\(549\) −29.8591 9.21031i −1.27435 0.393086i
\(550\) 0.0891104 1.18910i 0.00379968 0.0507032i
\(551\) −0.840147 + 2.14066i −0.0357915 + 0.0911952i
\(552\) 9.23552 4.44759i 0.393090 0.189302i
\(553\) 6.82617 2.71055i 0.290278 0.115264i
\(554\) 0.957000 + 0.460867i 0.0406590 + 0.0195804i
\(555\) 13.4957 12.5222i 0.572860 0.531537i
\(556\) −14.2636 + 2.14989i −0.604911 + 0.0911757i
\(557\) −2.78215 + 4.81883i −0.117883 + 0.204180i −0.918929 0.394424i \(-0.870944\pi\)
0.801045 + 0.598604i \(0.204278\pi\)
\(558\) 3.66173 + 6.34231i 0.155014 + 0.268491i
\(559\) 2.59325 + 3.25183i 0.109683 + 0.137538i
\(560\) −7.78186 6.15520i −0.328843 0.260105i
\(561\) −13.0912 + 16.4159i −0.552713 + 0.693080i
\(562\) −1.55574 0.234489i −0.0656247 0.00989134i
\(563\) 1.64746 1.12322i 0.0694322 0.0473381i −0.528106 0.849178i \(-0.677098\pi\)
0.597539 + 0.801840i \(0.296145\pi\)
\(564\) −9.27388 + 6.32283i −0.390501 + 0.266239i
\(565\) −3.95590 0.596256i −0.166426 0.0250847i
\(566\) −0.697945 + 0.875196i −0.0293368 + 0.0367872i
\(567\) −0.0751817 18.8474i −0.00315734 0.791515i
\(568\) 5.54787 + 6.95681i 0.232784 + 0.291901i
\(569\) 22.5241 + 39.0129i 0.944260 + 1.63551i 0.757226 + 0.653153i \(0.226554\pi\)
0.187034 + 0.982353i \(0.440112\pi\)
\(570\) −0.224761 + 0.389298i −0.00941421 + 0.0163059i
\(571\) −33.4759 + 5.04567i −1.40092 + 0.211155i −0.805660 0.592378i \(-0.798189\pi\)
−0.595261 + 0.803533i \(0.702951\pi\)
\(572\) −2.10048 + 1.94896i −0.0878253 + 0.0814900i
\(573\) 68.7066 + 33.0873i 2.87026 + 1.38224i
\(574\) 1.91386 + 2.78320i 0.0798831 + 0.116169i
\(575\) −15.4624 + 7.44628i −0.644825 + 0.310531i
\(576\) −14.8435 + 37.8206i −0.618479 + 1.57586i
\(577\) −0.720663 + 9.61658i −0.0300016 + 0.400343i 0.961906 + 0.273381i \(0.0881419\pi\)
−0.991907 + 0.126963i \(0.959477\pi\)
\(578\) 1.25365 + 0.386701i 0.0521451 + 0.0160846i
\(579\) −1.85349 24.7331i −0.0770284 1.02787i
\(580\) 1.34416 5.88916i 0.0558133 0.244534i
\(581\) 21.4804 31.7775i 0.891156 1.31835i
\(582\) −0.415429 1.82011i −0.0172201 0.0754461i
\(583\) 5.17204 1.59536i 0.214204 0.0660732i
\(584\) 4.48881 + 11.4373i 0.185748 + 0.473279i
\(585\) −4.23875 3.93298i −0.175251 0.162609i
\(586\) −3.09770 2.11197i −0.127965 0.0872448i
\(587\) −39.3944 −1.62598 −0.812991 0.582276i \(-0.802162\pi\)
−0.812991 + 0.582276i \(0.802162\pi\)
\(588\) −25.0830 + 31.9731i −1.03441 + 1.31855i
\(589\) 4.62951 0.190756
\(590\) −0.793435 0.540955i −0.0326652 0.0222708i
\(591\) −28.4272 26.3766i −1.16934 1.08499i
\(592\) 8.52151 + 21.7124i 0.350232 + 0.892376i
\(593\) −4.38961 + 1.35402i −0.180260 + 0.0556028i −0.383571 0.923511i \(-0.625306\pi\)
0.203311 + 0.979114i \(0.434830\pi\)
\(594\) −0.547706 2.39966i −0.0224727 0.0984592i
\(595\) 3.82178 + 12.2167i 0.156678 + 0.500835i
\(596\) 0.667569 2.92481i 0.0273447 0.119805i
\(597\) −3.44074 45.9135i −0.140820 1.87911i
\(598\) −0.834788 0.257498i −0.0341370 0.0105299i
\(599\) 2.40023 32.0289i 0.0980709 1.30866i −0.703470 0.710725i \(-0.748367\pi\)
0.801541 0.597940i \(-0.204014\pi\)
\(600\) −3.49392 + 8.90237i −0.142639 + 0.363438i
\(601\) 2.01976 0.972663i 0.0823876 0.0396758i −0.392236 0.919865i \(-0.628298\pi\)
0.474624 + 0.880189i \(0.342584\pi\)
\(602\) 1.94559 + 1.11296i 0.0792964 + 0.0453610i
\(603\) 65.8951 + 31.7334i 2.68346 + 1.29228i
\(604\) −17.6962 + 16.4197i −0.720047 + 0.668106i
\(605\) 8.75431 1.31950i 0.355913 0.0536453i
\(606\) 0.210041 0.363801i 0.00853232 0.0147784i
\(607\) 17.2459 + 29.8708i 0.699990 + 1.21242i 0.968469 + 0.249133i \(0.0801458\pi\)
−0.268479 + 0.963286i \(0.586521\pi\)
\(608\) −1.10420 1.38462i −0.0447812 0.0561538i
\(609\) −23.6203 5.29213i −0.957141 0.214448i
\(610\) −0.685301 + 0.859341i −0.0277470 + 0.0347937i
\(611\) 1.91181 + 0.288159i 0.0773436 + 0.0116577i
\(612\) 45.3349 30.9088i 1.83255 1.24941i
\(613\) 24.1835 16.4880i 0.976761 0.665944i 0.0340027 0.999422i \(-0.489175\pi\)
0.942758 + 0.333478i \(0.108222\pi\)
\(614\) 4.87213 + 0.734355i 0.196623 + 0.0296362i
\(615\) 11.5756 14.5153i 0.466772 0.585313i
\(616\) −1.34294 + 2.81734i −0.0541086 + 0.113514i
\(617\) 6.51403 + 8.16833i 0.262245 + 0.328845i 0.895469 0.445124i \(-0.146840\pi\)
−0.633224 + 0.773968i \(0.718269\pi\)
\(618\) 5.19636 + 9.00036i 0.209028 + 0.362048i
\(619\) 17.1869 29.7687i 0.690802 1.19650i −0.280774 0.959774i \(-0.590591\pi\)
0.971576 0.236730i \(-0.0760756\pi\)
\(620\) −12.0249 + 1.81246i −0.482932 + 0.0727902i
\(621\) −25.9684 + 24.0951i −1.04207 + 0.966904i
\(622\) 1.57828 + 0.760061i 0.0632834 + 0.0304757i
\(623\) 3.75648 + 0.266445i 0.150500 + 0.0106749i
\(624\) 10.0224 4.82653i 0.401217 0.193216i
\(625\) 4.02552 10.2569i 0.161021 0.410274i
\(626\) −0.199936 + 2.66796i −0.00799106 + 0.106633i
\(627\) −3.08759 0.952396i −0.123307 0.0380350i
\(628\) 0.0764487 + 1.02014i 0.00305064 + 0.0407079i
\(629\) 6.69610 29.3375i 0.266991 1.16976i
\(630\) −2.90523 1.12686i −0.115747 0.0448954i
\(631\) 1.19575 + 5.23890i 0.0476019 + 0.208557i 0.993136 0.116966i \(-0.0373168\pi\)
−0.945534 + 0.325523i \(0.894460\pi\)
\(632\) −2.13884 + 0.659745i −0.0850785 + 0.0262432i
\(633\) 20.9957 + 53.4962i 0.834504 + 2.12628i
\(634\) 5.22974 + 4.85249i 0.207699 + 0.192717i
\(635\) 13.1136 + 8.94068i 0.520396 + 0.354800i
\(636\) −21.4770 −0.851620
\(637\) 6.91327 1.09848i 0.273914 0.0435235i
\(638\) −0.919777 −0.0364143
\(639\) −52.7621 35.9726i −2.08724 1.42305i
\(640\) 4.53006 + 4.20328i 0.179066 + 0.166149i
\(641\) −4.59024 11.6957i −0.181304 0.461954i 0.811111 0.584893i \(-0.198863\pi\)
−0.992414 + 0.122939i \(0.960768\pi\)
\(642\) 8.58613 2.64847i 0.338868 0.104527i
\(643\) 4.14841 + 18.1754i 0.163597 + 0.716766i 0.988466 + 0.151442i \(0.0483918\pi\)
−0.824869 + 0.565324i \(0.808751\pi\)
\(644\) 22.1553 1.74921i 0.873040 0.0689284i
\(645\) 2.74147 12.0112i 0.107945 0.472939i
\(646\) 0.0549082 + 0.732699i 0.00216033 + 0.0288277i
\(647\) 37.8402 + 11.6722i 1.48765 + 0.458880i 0.928861 0.370429i \(-0.120789\pi\)
0.558791 + 0.829309i \(0.311266\pi\)
\(648\) −0.429234 + 5.72773i −0.0168619 + 0.225006i
\(649\) 2.52179 6.42542i 0.0989890 0.252220i
\(650\) 0.734321 0.353630i 0.0288024 0.0138705i
\(651\) 7.45502 + 48.1566i 0.292185 + 1.88741i
\(652\) −3.16806 1.52566i −0.124071 0.0597493i
\(653\) 21.8984 20.3187i 0.856949 0.795133i −0.123409 0.992356i \(-0.539383\pi\)
0.980359 + 0.197223i \(0.0631924\pi\)
\(654\) −0.721338 + 0.108724i −0.0282066 + 0.00425146i
\(655\) 4.02032 6.96340i 0.157087 0.272082i
\(656\) 11.7609 + 20.3704i 0.459185 + 0.795332i
\(657\) −54.9771 68.9390i −2.14486 2.68957i
\(658\) 1.01486 0.235899i 0.0395634 0.00919629i
\(659\) −1.70610 + 2.13938i −0.0664603 + 0.0833386i −0.813950 0.580934i \(-0.802687\pi\)
0.747490 + 0.664273i \(0.231259\pi\)
\(660\) 8.39271 + 1.26500i 0.326686 + 0.0492400i
\(661\) −0.694138 + 0.473256i −0.0269989 + 0.0184075i −0.576744 0.816925i \(-0.695677\pi\)
0.549745 + 0.835332i \(0.314725\pi\)
\(662\) 2.60183 1.77390i 0.101123 0.0689444i
\(663\) −14.1911 2.13897i −0.551138 0.0830706i
\(664\) −7.28806 + 9.13894i −0.282832 + 0.354660i
\(665\) −1.53517 + 1.23431i −0.0595315 + 0.0478645i
\(666\) 4.56738 + 5.72731i 0.176982 + 0.221929i
\(667\) 6.61890 + 11.4643i 0.256285 + 0.443898i
\(668\) 5.58625 9.67567i 0.216139 0.374363i
\(669\) 19.4775 2.93576i 0.753044 0.113503i
\(670\) 1.88589 1.74985i 0.0728585 0.0676028i
\(671\) −7.11814 3.42792i −0.274793 0.132333i
\(672\) 12.6248 13.7157i 0.487014 0.529094i
\(673\) −0.605600 + 0.291642i −0.0233442 + 0.0112420i −0.445519 0.895272i \(-0.646981\pi\)
0.422175 + 0.906514i \(0.361267\pi\)
\(674\) 1.78453 4.54692i 0.0687377 0.175141i
\(675\) 2.46984 32.9577i 0.0950642 1.26854i
\(676\) −1.87150 0.577282i −0.0719808 0.0222031i
\(677\) −1.16990 15.6113i −0.0449630 0.599990i −0.973491 0.228727i \(-0.926544\pi\)
0.928528 0.371263i \(-0.121075\pi\)
\(678\) 0.537863 2.35653i 0.0206565 0.0905021i
\(679\) 1.18704 8.09443i 0.0455543 0.310636i
\(680\) −0.868046 3.80316i −0.0332880 0.145844i
\(681\) −0.500173 + 0.154283i −0.0191667 + 0.00591214i
\(682\) 0.676487 + 1.72366i 0.0259040 + 0.0660024i
\(683\) −15.3750 14.2659i −0.588308 0.545870i 0.328856 0.944380i \(-0.393337\pi\)
−0.917164 + 0.398510i \(0.869527\pi\)
\(684\) 6.97649 + 4.75649i 0.266753 + 0.181869i
\(685\) −6.91410 −0.264174
\(686\) 3.24412 1.92512i 0.123861 0.0735014i
\(687\) 14.7077 0.561135
\(688\) 12.8966 + 8.79275i 0.491678 + 0.335221i
\(689\) 2.71191 + 2.51629i 0.103316 + 0.0958630i
\(690\) 0.945384 + 2.40880i 0.0359902 + 0.0917014i
\(691\) −25.7317 + 7.93718i −0.978880 + 0.301944i −0.742596 0.669740i \(-0.766406\pi\)
−0.236284 + 0.971684i \(0.575929\pi\)
\(692\) −5.47570 23.9906i −0.208155 0.911986i
\(693\) 3.24994 22.1614i 0.123455 0.841843i
\(694\) −1.56564 + 6.85950i −0.0594307 + 0.260383i
\(695\) −0.550005 7.33931i −0.0208629 0.278396i
\(696\) 7.04902 + 2.17433i 0.267192 + 0.0824179i
\(697\) 2.26777 30.2613i 0.0858979 1.14623i
\(698\) −1.53355 + 3.90743i −0.0580459 + 0.147899i
\(699\) −41.0599 + 19.7734i −1.55303 + 0.747899i
\(700\) −14.0422 + 15.2555i −0.530745 + 0.576603i
\(701\) −19.6770 9.47593i −0.743189 0.357901i 0.0236675 0.999720i \(-0.492466\pi\)
−0.766856 + 0.641819i \(0.778180\pi\)
\(702\) 1.23326 1.14430i 0.0465464 0.0431888i
\(703\) 4.57908 0.690185i 0.172703 0.0260308i
\(704\) −5.13632 + 8.89637i −0.193582 + 0.335295i
\(705\) −2.86345 4.95965i −0.107844 0.186791i
\(706\) −4.52659 5.67616i −0.170360 0.213625i
\(707\) 1.43463 1.15347i 0.0539549 0.0433808i
\(708\) −17.0772 + 21.4141i −0.641800 + 0.804792i
\(709\) 35.8089 + 5.39733i 1.34483 + 0.202701i 0.781694 0.623662i \(-0.214356\pi\)
0.563138 + 0.826363i \(0.309594\pi\)
\(710\) −1.85593 + 1.26535i −0.0696518 + 0.0474878i
\(711\) 13.2721 9.04876i 0.497742 0.339355i
\(712\) −1.13485 0.171050i −0.0425301 0.00641039i
\(713\) 16.6159 20.8357i 0.622270 0.780302i
\(714\) −7.53319 + 1.75104i −0.281922 + 0.0655312i
\(715\) −0.911542 1.14304i −0.0340897 0.0427472i
\(716\) 17.1910 + 29.7757i 0.642458 + 1.11277i
\(717\) 39.8541 69.0293i 1.48838 2.57795i
\(718\) 1.04671 0.157767i 0.0390630 0.00588780i
\(719\) −23.5389 + 21.8409i −0.877854 + 0.814529i −0.983693 0.179854i \(-0.942437\pi\)
0.105840 + 0.994383i \(0.466247\pi\)
\(720\) −19.5509 9.41523i −0.728620 0.350885i
\(721\) 6.96723 + 45.0057i 0.259473 + 1.67610i
\(722\) 3.38491 1.63009i 0.125973 0.0606656i
\(723\) −32.7416 + 83.4243i −1.21767 + 3.10258i
\(724\) 1.02281 13.6485i 0.0380125 0.507242i
\(725\) −11.8017 3.64033i −0.438302 0.135198i
\(726\) 0.399736 + 5.33411i 0.0148356 + 0.197967i
\(727\) −1.60929 + 7.05078i −0.0596854 + 0.261499i −0.995963 0.0897613i \(-0.971390\pi\)
0.936278 + 0.351260i \(0.114247\pi\)
\(728\) −2.12664 + 0.167903i −0.0788184 + 0.00622288i
\(729\) 7.17146 + 31.4202i 0.265610 + 1.16371i
\(730\) −2.96384 + 0.914225i −0.109697 + 0.0338370i
\(731\) −7.35701 18.7454i −0.272109 0.693322i
\(732\) 22.9809 + 21.3232i 0.849400 + 0.788128i
\(733\) 10.1321 + 6.90798i 0.374239 + 0.255152i 0.735803 0.677195i \(-0.236805\pi\)
−0.361564 + 0.932347i \(0.617757\pi\)
\(734\) −4.93723 −0.182236
\(735\) −15.3116 13.9814i −0.564775 0.515711i
\(736\) −10.1948 −0.375784
\(737\) 15.2789 + 10.4170i 0.562807 + 0.383715i
\(738\) 5.41532 + 5.02468i 0.199341 + 0.184961i
\(739\) −8.49920 21.6556i −0.312648 0.796614i −0.997679 0.0681000i \(-0.978306\pi\)
0.685030 0.728515i \(-0.259789\pi\)
\(740\) −11.6237 + 3.58543i −0.427295 + 0.131803i
\(741\) −0.491440 2.15314i −0.0180535 0.0790975i
\(742\) 1.85874 + 0.720958i 0.0682365 + 0.0264672i
\(743\) 0.251260 1.10084i 0.00921783 0.0403859i −0.970110 0.242666i \(-0.921978\pi\)
0.979328 + 0.202280i \(0.0648352\pi\)
\(744\) −1.10978 14.8090i −0.0406867 0.542926i
\(745\) 1.46269 + 0.451181i 0.0535889 + 0.0165300i
\(746\) −0.509916 + 6.80435i −0.0186693 + 0.249125i
\(747\) 30.6479 78.0895i 1.12135 2.85715i
\(748\) 12.4992 6.01928i 0.457014 0.220087i
\(749\) 39.2758 + 2.78581i 1.43511 + 0.101791i
\(750\) −4.89305 2.35637i −0.178669 0.0860424i
\(751\) 12.7721 11.8508i 0.466062 0.432442i −0.411859 0.911247i \(-0.635121\pi\)
0.877921 + 0.478805i \(0.158930\pi\)
\(752\) 7.17463 1.08140i 0.261632 0.0394347i
\(753\) 7.87728 13.6438i 0.287064 0.497209i
\(754\) −0.314337 0.544448i −0.0114475 0.0198276i
\(755\) −7.67960 9.62991i −0.279489 0.350468i
\(756\) −18.4158 + 38.6344i −0.669778 + 1.40512i
\(757\) 5.43413 6.81419i 0.197507 0.247666i −0.673209 0.739452i \(-0.735085\pi\)
0.870716 + 0.491786i \(0.163656\pi\)
\(758\) −6.40112 0.964814i −0.232499 0.0350436i
\(759\) −15.3681 + 10.4778i −0.557827 + 0.380320i
\(760\) 0.496000 0.338167i 0.0179918 0.0122666i
\(761\) −9.20501 1.38743i −0.333681 0.0502944i −0.0199353 0.999801i \(-0.506346\pi\)
−0.313746 + 0.949507i \(0.601584\pi\)
\(762\) −5.97892 + 7.49733i −0.216593 + 0.271599i
\(763\) −3.11934 0.698889i −0.112928 0.0253015i
\(764\) −31.4150 39.3932i −1.13656 1.42520i
\(765\) 13.9978 + 24.2450i 0.506093 + 0.876578i
\(766\) 0.133162 0.230644i 0.00481135 0.00833350i
\(767\) 4.66526 0.703175i 0.168453 0.0253902i
\(768\) 27.7768 25.7731i 1.00231 0.930007i
\(769\) −24.3872 11.7442i −0.879424 0.423508i −0.0610100 0.998137i \(-0.519432\pi\)
−0.818414 + 0.574629i \(0.805146\pi\)
\(770\) −0.683886 0.391213i −0.0246456 0.0140983i
\(771\) −62.5905 + 30.1420i −2.25414 + 1.08554i
\(772\) −5.98705 + 15.2547i −0.215479 + 0.549030i
\(773\) 1.97387