Properties

Label 637.2.bl.b.625.29
Level $637$
Weight $2$
Character 637.625
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 625.29
Character \(\chi\) \(=\) 637.625
Dual form 637.2.bl.b.53.29

$q$-expansion

\(f(q)\) \(=\) \(q+(2.30234 - 1.56971i) q^{2} +(-0.652644 + 0.605565i) q^{3} +(2.10611 - 5.36627i) q^{4} +(-3.46195 - 1.06787i) q^{5} +(-0.552048 + 2.41868i) q^{6} +(-2.11683 + 1.58714i) q^{7} +(-2.33439 - 10.2276i) q^{8} +(-0.164955 + 2.20118i) q^{9} +O(q^{10})\) \(q+(2.30234 - 1.56971i) q^{2} +(-0.652644 + 0.605565i) q^{3} +(2.10611 - 5.36627i) q^{4} +(-3.46195 - 1.06787i) q^{5} +(-0.552048 + 2.41868i) q^{6} +(-2.11683 + 1.58714i) q^{7} +(-2.33439 - 10.2276i) q^{8} +(-0.164955 + 2.20118i) q^{9} +(-9.64684 + 2.97565i) q^{10} +(-0.296786 - 3.96033i) q^{11} +(1.87509 + 4.77765i) q^{12} +(-0.900969 - 0.433884i) q^{13} +(-2.38233 + 6.97695i) q^{14} +(2.90608 - 1.39950i) q^{15} +(-12.9772 - 12.0411i) q^{16} +(-0.592848 - 0.0893574i) q^{17} +(3.07542 + 5.32679i) q^{18} +(2.14944 - 3.72293i) q^{19} +(-13.0217 + 16.3287i) q^{20} +(0.420422 - 2.31772i) q^{21} +(-6.89988 - 8.65217i) q^{22} +(3.46323 - 0.521998i) q^{23} +(7.71701 + 5.26137i) q^{24} +(6.71355 + 4.57722i) q^{25} +(-2.75541 + 0.415311i) q^{26} +(-2.89060 - 3.62469i) q^{27} +(4.05875 + 14.7022i) q^{28} +(1.94642 - 2.44074i) q^{29} +(4.49400 - 7.78383i) q^{30} +(-0.354521 - 0.614048i) q^{31} +(-28.0321 - 4.22515i) q^{32} +(2.59193 + 2.40496i) q^{33} +(-1.50520 + 0.724867i) q^{34} +(9.02323 - 3.23410i) q^{35} +(11.4647 + 5.52110i) q^{36} +(-0.299117 - 0.762138i) q^{37} +(-0.895188 - 11.9455i) q^{38} +(0.850756 - 0.262424i) q^{39} +(-2.84024 + 37.9003i) q^{40} +(1.60713 + 7.04130i) q^{41} +(-2.67019 - 5.99612i) q^{42} +(-0.644964 + 2.82577i) q^{43} +(-21.8773 - 6.74825i) q^{44} +(2.92164 - 7.44421i) q^{45} +(7.15416 - 6.63809i) q^{46} +(7.11986 - 4.85424i) q^{47} +15.7612 q^{48} +(1.96197 - 6.71942i) q^{49} +22.6418 q^{50} +(0.441030 - 0.300689i) q^{51} +(-4.22587 + 3.92104i) q^{52} +(0.911887 - 2.32345i) q^{53} +(-12.3449 - 3.80788i) q^{54} +(-3.20166 + 14.0274i) q^{55} +(21.1742 + 17.9452i) q^{56} +(0.851661 + 3.73137i) q^{57} +(0.650082 - 8.67474i) q^{58} +(7.00113 - 2.15956i) q^{59} +(-1.38955 - 18.5423i) q^{60} +(-1.62455 - 4.13928i) q^{61} +(-1.78010 - 0.857253i) q^{62} +(-3.14439 - 4.92133i) q^{63} +(-39.2720 + 18.9124i) q^{64} +(2.65578 + 2.46420i) q^{65} +(9.74262 + 1.46846i) q^{66} +(-6.97165 - 12.0753i) q^{67} +(-1.72812 + 2.99318i) q^{68} +(-1.94415 + 2.43789i) q^{69} +(15.6980 - 21.6098i) q^{70} +(8.29122 + 10.3969i) q^{71} +(22.8979 - 3.45130i) q^{72} +(-9.49640 - 6.47453i) q^{73} +(-1.88500 - 1.28517i) q^{74} +(-7.15336 + 1.07820i) q^{75} +(-15.4513 - 19.3753i) q^{76} +(6.91385 + 7.91233i) q^{77} +(1.54680 - 1.93963i) q^{78} +(-8.59524 + 14.8874i) q^{79} +(32.0681 + 55.5437i) q^{80} +(-2.46656 - 0.371775i) q^{81} +(14.7530 + 13.6888i) q^{82} +(-4.85228 + 2.33673i) q^{83} +(-11.5520 - 7.13746i) q^{84} +(1.95699 + 0.942435i) q^{85} +(2.95072 + 7.51830i) q^{86} +(0.207704 + 2.77162i) q^{87} +(-39.8120 + 12.2804i) q^{88} +(1.00374 - 13.3939i) q^{89} +(-4.95864 - 21.7252i) q^{90} +(2.59584 - 0.511504i) q^{91} +(4.49275 - 19.6840i) q^{92} +(0.603221 + 0.186069i) q^{93} +(8.77260 - 22.3522i) q^{94} +(-11.4168 + 10.5933i) q^{95} +(20.8536 - 14.2177i) q^{96} +8.83567 q^{97} +(-6.03042 - 18.5501i) q^{98} +8.76634 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 348 q + 3 q^{2} + 31 q^{4} + q^{5} - 4 q^{6} + 27 q^{7} - 12 q^{8} + 13 q^{9} + O(q^{10}) \) \( 348 q + 3 q^{2} + 31 q^{4} + q^{5} - 4 q^{6} + 27 q^{7} - 12 q^{8} + 13 q^{9} - 5 q^{10} + 2 q^{11} - 40 q^{12} - 58 q^{13} - 45 q^{14} - 14 q^{15} + 27 q^{16} - 12 q^{17} - 59 q^{18} - 24 q^{19} - 99 q^{20} - 2 q^{21} - 10 q^{22} - 14 q^{23} + 28 q^{25} + 3 q^{26} - 9 q^{27} - 37 q^{28} - 26 q^{29} - 83 q^{30} - 49 q^{31} + 33 q^{32} + 2 q^{33} - 130 q^{34} - 38 q^{35} - 74 q^{36} - 4 q^{37} + 92 q^{38} + 24 q^{40} + 20 q^{41} - 52 q^{42} + 2 q^{43} + 226 q^{44} - 23 q^{45} + 71 q^{46} + 24 q^{47} + 86 q^{48} + 25 q^{49} + 114 q^{50} - 54 q^{51} + 31 q^{52} + 36 q^{53} + 75 q^{54} + 38 q^{55} + 126 q^{56} + 27 q^{57} - 33 q^{58} + q^{59} - 179 q^{60} - 15 q^{61} + 158 q^{62} - 5 q^{63} - 24 q^{64} + q^{65} - 150 q^{66} - 151 q^{67} + 140 q^{68} - 98 q^{69} - 126 q^{70} - 31 q^{71} - 149 q^{72} - 9 q^{73} + 39 q^{74} + 85 q^{75} - 81 q^{76} + 46 q^{77} - 25 q^{78} - 69 q^{79} - 64 q^{80} + 71 q^{81} - 52 q^{82} - q^{83} - 47 q^{84} + 62 q^{85} + 97 q^{86} + 150 q^{87} - 12 q^{88} + 23 q^{89} + 107 q^{90} - q^{91} - 43 q^{92} + 316 q^{93} - 86 q^{94} - 29 q^{95} + 177 q^{96} + 114 q^{97} - 336 q^{98} + 102 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{16}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.30234 1.56971i 1.62800 1.10995i 0.717405 0.696657i \(-0.245330\pi\)
0.910597 0.413296i \(-0.135622\pi\)
\(3\) −0.652644 + 0.605565i −0.376804 + 0.349623i −0.845727 0.533616i \(-0.820833\pi\)
0.468923 + 0.883239i \(0.344642\pi\)
\(4\) 2.10611 5.36627i 1.05305 2.68313i
\(5\) −3.46195 1.06787i −1.54823 0.477566i −0.601305 0.799019i \(-0.705352\pi\)
−0.946925 + 0.321453i \(0.895829\pi\)
\(6\) −0.552048 + 2.41868i −0.225373 + 0.987421i
\(7\) −2.11683 + 1.58714i −0.800088 + 0.599883i
\(8\) −2.33439 10.2276i −0.825331 3.61601i
\(9\) −0.164955 + 2.20118i −0.0549851 + 0.733725i
\(10\) −9.64684 + 2.97565i −3.05060 + 0.940985i
\(11\) −0.296786 3.96033i −0.0894843 1.19409i −0.843463 0.537187i \(-0.819487\pi\)
0.753979 0.656899i \(-0.228132\pi\)
\(12\) 1.87509 + 4.77765i 0.541291 + 1.37919i
\(13\) −0.900969 0.433884i −0.249884 0.120338i
\(14\) −2.38233 + 6.97695i −0.636703 + 1.86467i
\(15\) 2.90608 1.39950i 0.750348 0.361348i
\(16\) −12.9772 12.0411i −3.24430 3.01027i
\(17\) −0.592848 0.0893574i −0.143787 0.0216723i 0.0767545 0.997050i \(-0.475544\pi\)
−0.220541 + 0.975378i \(0.570782\pi\)
\(18\) 3.07542 + 5.32679i 0.724884 + 1.25554i
\(19\) 2.14944 3.72293i 0.493114 0.854099i −0.506854 0.862032i \(-0.669192\pi\)
0.999969 + 0.00793257i \(0.00252504\pi\)
\(20\) −13.0217 + 16.3287i −2.91174 + 3.65121i
\(21\) 0.420422 2.31772i 0.0917436 0.505767i
\(22\) −6.89988 8.65217i −1.47106 1.84465i
\(23\) 3.46323 0.521998i 0.722134 0.108844i 0.222316 0.974975i \(-0.428638\pi\)
0.499818 + 0.866131i \(0.333400\pi\)
\(24\) 7.71701 + 5.26137i 1.57523 + 1.07397i
\(25\) 6.71355 + 4.57722i 1.34271 + 0.915445i
\(26\) −2.75541 + 0.415311i −0.540380 + 0.0814492i
\(27\) −2.89060 3.62469i −0.556295 0.697572i
\(28\) 4.05875 + 14.7022i 0.767031 + 2.77845i
\(29\) 1.94642 2.44074i 0.361442 0.453234i −0.567547 0.823341i \(-0.692108\pi\)
0.928989 + 0.370107i \(0.120679\pi\)
\(30\) 4.49400 7.78383i 0.820488 1.42113i
\(31\) −0.354521 0.614048i −0.0636738 0.110286i 0.832431 0.554128i \(-0.186948\pi\)
−0.896105 + 0.443842i \(0.853615\pi\)
\(32\) −28.0321 4.22515i −4.95542 0.746909i
\(33\) 2.59193 + 2.40496i 0.451198 + 0.418650i
\(34\) −1.50520 + 0.724867i −0.258140 + 0.124314i
\(35\) 9.02323 3.23410i 1.52520 0.546662i
\(36\) 11.4647 + 5.52110i 1.91078 + 0.920184i
\(37\) −0.299117 0.762138i −0.0491745 0.125295i 0.904176 0.427160i \(-0.140486\pi\)
−0.953351 + 0.301865i \(0.902391\pi\)
\(38\) −0.895188 11.9455i −0.145219 1.93781i
\(39\) 0.850756 0.262424i 0.136230 0.0420214i
\(40\) −2.84024 + 37.9003i −0.449081 + 5.99257i
\(41\) 1.60713 + 7.04130i 0.250992 + 1.09967i 0.930585 + 0.366077i \(0.119299\pi\)
−0.679593 + 0.733590i \(0.737844\pi\)
\(42\) −2.67019 5.99612i −0.412019 0.925221i
\(43\) −0.644964 + 2.82577i −0.0983561 + 0.430926i −0.999999 0.00155543i \(-0.999505\pi\)
0.901643 + 0.432482i \(0.142362\pi\)
\(44\) −21.8773 6.74825i −3.29812 1.01734i
\(45\) 2.92164 7.44421i 0.435532 1.10972i
\(46\) 7.15416 6.63809i 1.05482 0.978733i
\(47\) 7.11986 4.85424i 1.03854 0.708063i 0.0811012 0.996706i \(-0.474156\pi\)
0.957437 + 0.288643i \(0.0932039\pi\)
\(48\) 15.7612 2.27493
\(49\) 1.96197 6.71942i 0.280282 0.959918i
\(50\) 22.6418 3.20204
\(51\) 0.441030 0.300689i 0.0617565 0.0421049i
\(52\) −4.22587 + 3.92104i −0.586023 + 0.543750i
\(53\) 0.911887 2.32345i 0.125257 0.319151i −0.854465 0.519508i \(-0.826115\pi\)
0.979723 + 0.200358i \(0.0642104\pi\)
\(54\) −12.3449 3.80788i −1.67992 0.518187i
\(55\) −3.20166 + 14.0274i −0.431712 + 1.89145i
\(56\) 21.1742 + 17.9452i 2.82952 + 2.39803i
\(57\) 0.851661 + 3.73137i 0.112805 + 0.494232i
\(58\) 0.650082 8.67474i 0.0853599 1.13905i
\(59\) 7.00113 2.15956i 0.911469 0.281151i 0.196661 0.980472i \(-0.436990\pi\)
0.714808 + 0.699320i \(0.246514\pi\)
\(60\) −1.38955 18.5423i −0.179391 2.39380i
\(61\) −1.62455 4.13928i −0.208002 0.529980i 0.788359 0.615215i \(-0.210931\pi\)
−0.996361 + 0.0852355i \(0.972836\pi\)
\(62\) −1.78010 0.857253i −0.226073 0.108871i
\(63\) −3.14439 4.92133i −0.396156 0.620029i
\(64\) −39.2720 + 18.9124i −4.90900 + 2.36405i
\(65\) 2.65578 + 2.46420i 0.329409 + 0.305647i
\(66\) 9.74262 + 1.46846i 1.19923 + 0.180755i
\(67\) −6.97165 12.0753i −0.851723 1.47523i −0.879652 0.475618i \(-0.842225\pi\)
0.0279292 0.999610i \(-0.491109\pi\)
\(68\) −1.72812 + 2.99318i −0.209565 + 0.362977i
\(69\) −1.94415 + 2.43789i −0.234048 + 0.293488i
\(70\) 15.6980 21.6098i 1.87627 2.58287i
\(71\) 8.29122 + 10.3969i 0.983987 + 1.23388i 0.972249 + 0.233950i \(0.0751651\pi\)
0.0117383 + 0.999931i \(0.496264\pi\)
\(72\) 22.8979 3.45130i 2.69854 0.406739i
\(73\) −9.49640 6.47453i −1.11147 0.757787i −0.138878 0.990309i \(-0.544350\pi\)
−0.972591 + 0.232523i \(0.925302\pi\)
\(74\) −1.88500 1.28517i −0.219127 0.149398i
\(75\) −7.15336 + 1.07820i −0.825999 + 0.124499i
\(76\) −15.4513 19.3753i −1.77239 2.22250i
\(77\) 6.91385 + 7.91233i 0.787906 + 0.901694i
\(78\) 1.54680 1.93963i 0.175141 0.219620i
\(79\) −8.59524 + 14.8874i −0.967040 + 1.67496i −0.263007 + 0.964794i \(0.584714\pi\)
−0.704033 + 0.710168i \(0.748619\pi\)
\(80\) 32.0681 + 55.5437i 3.58533 + 6.20997i
\(81\) −2.46656 0.371775i −0.274063 0.0413083i
\(82\) 14.7530 + 13.6888i 1.62919 + 1.51167i
\(83\) −4.85228 + 2.33673i −0.532607 + 0.256490i −0.680801 0.732468i \(-0.738368\pi\)
0.148194 + 0.988958i \(0.452654\pi\)
\(84\) −11.5520 7.13746i −1.26043 0.778760i
\(85\) 1.95699 + 0.942435i 0.212265 + 0.102221i
\(86\) 2.95072 + 7.51830i 0.318184 + 0.810719i
\(87\) 0.207704 + 2.77162i 0.0222682 + 0.297149i
\(88\) −39.8120 + 12.2804i −4.24397 + 1.30909i
\(89\) 1.00374 13.3939i 0.106396 1.41975i −0.647152 0.762361i \(-0.724040\pi\)
0.753548 0.657393i \(-0.228341\pi\)
\(90\) −4.95864 21.7252i −0.522687 2.29004i
\(91\) 2.59584 0.511504i 0.272118 0.0536202i
\(92\) 4.49275 19.6840i 0.468401 2.05220i
\(93\) 0.603221 + 0.186069i 0.0625511 + 0.0192945i
\(94\) 8.77260 22.3522i 0.904825 2.30546i
\(95\) −11.4168 + 10.5933i −1.17134 + 1.08685i
\(96\) 20.8536 14.2177i 2.12836 1.45109i
\(97\) 8.83567 0.897126 0.448563 0.893751i \(-0.351936\pi\)
0.448563 + 0.893751i \(0.351936\pi\)
\(98\) −6.03042 18.5501i −0.609164 1.87385i
\(99\) 8.76634 0.881051
\(100\) 38.7021 26.3866i 3.87021 2.63866i
\(101\) −0.677254 + 0.628400i −0.0673893 + 0.0625281i −0.713148 0.701013i \(-0.752731\pi\)
0.645759 + 0.763541i \(0.276541\pi\)
\(102\) 0.543407 1.38458i 0.0538053 0.137094i
\(103\) 2.78741 + 0.859803i 0.274652 + 0.0847189i 0.429021 0.903294i \(-0.358858\pi\)
−0.154370 + 0.988013i \(0.549335\pi\)
\(104\) −2.33439 + 10.2276i −0.228906 + 1.00290i
\(105\) −3.93050 + 7.57486i −0.383578 + 0.739231i
\(106\) −1.54767 6.78078i −0.150323 0.658607i
\(107\) 0.889085 11.8640i 0.0859511 1.14694i −0.772836 0.634605i \(-0.781163\pi\)
0.858787 0.512332i \(-0.171218\pi\)
\(108\) −25.5390 + 7.87773i −2.45749 + 0.758035i
\(109\) −0.0811924 1.08344i −0.00777683 0.103775i 0.991965 0.126516i \(-0.0403795\pi\)
−0.999741 + 0.0227416i \(0.992760\pi\)
\(110\) 14.6476 + 37.3216i 1.39660 + 3.55847i
\(111\) 0.656741 + 0.316270i 0.0623351 + 0.0300190i
\(112\) 46.5815 + 4.89234i 4.40154 + 0.462283i
\(113\) −3.65106 + 1.75826i −0.343463 + 0.165403i −0.597660 0.801749i \(-0.703903\pi\)
0.254198 + 0.967152i \(0.418189\pi\)
\(114\) 7.81799 + 7.25403i 0.732222 + 0.679402i
\(115\) −12.5470 1.89115i −1.17001 0.176351i
\(116\) −8.99829 15.5855i −0.835470 1.44708i
\(117\) 1.10367 1.91162i 0.102035 0.176729i
\(118\) 12.7291 15.9618i 1.17181 1.46940i
\(119\) 1.39678 0.751777i 0.128043 0.0689153i
\(120\) −21.0975 26.4554i −1.92593 2.41503i
\(121\) −4.71902 + 0.711278i −0.429002 + 0.0646617i
\(122\) −10.2377 6.97996i −0.926880 0.631936i
\(123\) −5.31285 3.62224i −0.479044 0.326606i
\(124\) −4.04180 + 0.609204i −0.362965 + 0.0547081i
\(125\) −7.05988 8.85281i −0.631455 0.791820i
\(126\) −14.9645 6.39480i −1.33315 0.569694i
\(127\) −10.5019 + 13.1689i −0.931890 + 1.16855i 0.0535557 + 0.998565i \(0.482945\pi\)
−0.985446 + 0.169989i \(0.945627\pi\)
\(128\) −32.3818 + 56.0870i −2.86218 + 4.95744i
\(129\) −1.29026 2.23479i −0.113601 0.196762i
\(130\) 9.98259 + 1.50463i 0.875531 + 0.131965i
\(131\) 12.3690 + 11.4768i 1.08069 + 1.00273i 0.999982 + 0.00599124i \(0.00190708\pi\)
0.0807032 + 0.996738i \(0.474283\pi\)
\(132\) 18.3646 8.84391i 1.59843 0.769764i
\(133\) 1.35882 + 11.2923i 0.117824 + 0.979165i
\(134\) −35.0058 16.8579i −3.02404 1.45630i
\(135\) 6.13640 + 15.6353i 0.528137 + 1.34567i
\(136\) 0.470023 + 6.27202i 0.0403041 + 0.537821i
\(137\) 18.2059 5.61577i 1.55543 0.479787i 0.606452 0.795120i \(-0.292592\pi\)
0.948981 + 0.315333i \(0.102116\pi\)
\(138\) −0.649323 + 8.66461i −0.0552740 + 0.737581i
\(139\) 1.47027 + 6.44168i 0.124707 + 0.546376i 0.998223 + 0.0595817i \(0.0189767\pi\)
−0.873517 + 0.486794i \(0.838166\pi\)
\(140\) 1.64885 55.2324i 0.139353 4.66799i
\(141\) −1.70718 + 7.47962i −0.143770 + 0.629898i
\(142\) 35.4093 + 10.9223i 2.97148 + 0.916581i
\(143\) −1.45093 + 3.69691i −0.121333 + 0.309151i
\(144\) 28.6452 26.5789i 2.38710 2.21491i
\(145\) −9.34481 + 6.37119i −0.776045 + 0.529098i
\(146\) −32.0271 −2.65058
\(147\) 2.78858 + 5.57349i 0.229998 + 0.459694i
\(148\) −4.71981 −0.387966
\(149\) −3.22786 + 2.20072i −0.264436 + 0.180290i −0.688279 0.725446i \(-0.741633\pi\)
0.423842 + 0.905736i \(0.360681\pi\)
\(150\) −14.7770 + 13.7111i −1.20654 + 1.11951i
\(151\) 3.10681 7.91602i 0.252828 0.644196i −0.746958 0.664871i \(-0.768486\pi\)
0.999786 + 0.0206751i \(0.00658156\pi\)
\(152\) −43.0944 13.2929i −3.49542 1.07819i
\(153\) 0.294485 1.29022i 0.0238077 0.104308i
\(154\) 28.3381 + 7.36414i 2.28355 + 0.593419i
\(155\) 0.571609 + 2.50438i 0.0459128 + 0.201157i
\(156\) 0.383547 5.11808i 0.0307083 0.409774i
\(157\) 3.82693 1.18045i 0.305422 0.0942103i −0.138256 0.990397i \(-0.544150\pi\)
0.443678 + 0.896186i \(0.353673\pi\)
\(158\) 3.57971 + 47.7679i 0.284786 + 3.80021i
\(159\) 0.811863 + 2.06859i 0.0643849 + 0.164050i
\(160\) 92.5337 + 44.5619i 7.31543 + 3.52293i
\(161\) −6.50260 + 6.60162i −0.512477 + 0.520280i
\(162\) −6.26245 + 3.01584i −0.492024 + 0.236946i
\(163\) 1.00821 + 0.935484i 0.0789693 + 0.0732728i 0.718670 0.695351i \(-0.244751\pi\)
−0.639701 + 0.768624i \(0.720942\pi\)
\(164\) 41.1703 + 6.20543i 3.21486 + 0.484562i
\(165\) −6.40496 11.0937i −0.498625 0.863644i
\(166\) −7.50361 + 12.9966i −0.582393 + 1.00873i
\(167\) −7.67510 + 9.62428i −0.593917 + 0.744749i −0.984416 0.175855i \(-0.943731\pi\)
0.390499 + 0.920603i \(0.372303\pi\)
\(168\) −24.6862 + 1.11053i −1.90458 + 0.0856795i
\(169\) 0.623490 + 0.781831i 0.0479608 + 0.0601409i
\(170\) 5.98500 0.902094i 0.459029 0.0691874i
\(171\) 7.84027 + 5.34540i 0.599560 + 0.408773i
\(172\) 13.8055 + 9.41243i 1.05266 + 0.717691i
\(173\) −20.8466 + 3.14212i −1.58494 + 0.238891i −0.881611 0.471977i \(-0.843540\pi\)
−0.703326 + 0.710868i \(0.748302\pi\)
\(174\) 4.82884 + 6.05518i 0.366074 + 0.459042i
\(175\) −21.4762 + 0.966128i −1.62345 + 0.0730324i
\(176\) −43.8353 + 54.9677i −3.30421 + 4.14335i
\(177\) −3.26149 + 5.64906i −0.245148 + 0.424610i
\(178\) −18.7136 32.4130i −1.40265 2.42946i
\(179\) 16.5220 + 2.49030i 1.23491 + 0.186133i 0.733871 0.679289i \(-0.237712\pi\)
0.501043 + 0.865422i \(0.332950\pi\)
\(180\) −33.7943 31.3566i −2.51888 2.33718i
\(181\) 5.23025 2.51875i 0.388761 0.187218i −0.229285 0.973359i \(-0.573639\pi\)
0.618046 + 0.786142i \(0.287924\pi\)
\(182\) 5.17359 5.25237i 0.383492 0.389331i
\(183\) 3.56685 + 1.71770i 0.263669 + 0.126976i
\(184\) −13.4233 34.2021i −0.989581 2.52141i
\(185\) 0.221664 + 2.95790i 0.0162971 + 0.217469i
\(186\) 1.68090 0.518488i 0.123249 0.0380174i
\(187\) −0.177936 + 2.37439i −0.0130120 + 0.173633i
\(188\) −11.0540 48.4306i −0.806194 3.53217i
\(189\) 11.8718 + 3.08509i 0.863547 + 0.224407i
\(190\) −9.65710 + 42.3105i −0.700599 + 3.06953i
\(191\) 12.0757 + 3.72486i 0.873767 + 0.269522i 0.699029 0.715093i \(-0.253616\pi\)
0.174738 + 0.984615i \(0.444092\pi\)
\(192\) 14.1779 36.1248i 1.02320 2.60708i
\(193\) 0.303765 0.281853i 0.0218655 0.0202882i −0.669164 0.743114i \(-0.733348\pi\)
0.691030 + 0.722826i \(0.257157\pi\)
\(194\) 20.3427 13.8694i 1.46052 0.995767i
\(195\) −3.22551 −0.230984
\(196\) −31.9261 24.6803i −2.28044 1.76288i
\(197\) −3.23112 −0.230208 −0.115104 0.993353i \(-0.536720\pi\)
−0.115104 + 0.993353i \(0.536720\pi\)
\(198\) 20.1831 13.7606i 1.43435 0.977925i
\(199\) 0.407065 0.377701i 0.0288560 0.0267745i −0.665613 0.746297i \(-0.731830\pi\)
0.694469 + 0.719523i \(0.255639\pi\)
\(200\) 31.1421 79.3487i 2.20208 5.61080i
\(201\) 11.8624 + 3.65905i 0.836706 + 0.258090i
\(202\) −0.572864 + 2.50988i −0.0403066 + 0.176595i
\(203\) −0.246463 + 8.25589i −0.0172983 + 0.579450i
\(204\) −0.684723 2.99997i −0.0479402 0.210040i
\(205\) 1.95539 26.0928i 0.136570 1.82240i
\(206\) 7.76721 2.39587i 0.541167 0.166928i
\(207\) 0.577731 + 7.70929i 0.0401551 + 0.535832i
\(208\) 6.46763 + 16.4793i 0.448450 + 1.14263i
\(209\) −15.3820 7.40757i −1.06399 0.512392i
\(210\) 2.84098 + 23.6097i 0.196046 + 1.62922i
\(211\) 6.51633 3.13810i 0.448603 0.216036i −0.195922 0.980620i \(-0.562770\pi\)
0.644524 + 0.764584i \(0.277055\pi\)
\(212\) −10.5477 9.78687i −0.724421 0.672165i
\(213\) −11.7072 1.76457i −0.802163 0.120907i
\(214\) −16.5761 28.7106i −1.13312 1.96262i
\(215\) 5.25039 9.09395i 0.358074 0.620202i
\(216\) −30.3242 + 38.0254i −2.06330 + 2.58730i
\(217\) 1.72504 + 0.737163i 0.117103 + 0.0500419i
\(218\) −1.88762 2.36700i −0.127845 0.160313i
\(219\) 10.1185 1.52512i 0.683746 0.103058i
\(220\) 68.5318 + 46.7242i 4.62041 + 3.15014i
\(221\) 0.495366 + 0.337735i 0.0333220 + 0.0227185i
\(222\) 2.00849 0.302732i 0.134801 0.0203180i
\(223\) −5.62961 7.05931i −0.376987 0.472726i 0.556754 0.830678i \(-0.312047\pi\)
−0.933740 + 0.357951i \(0.883475\pi\)
\(224\) 66.0452 35.5469i 4.41283 2.37508i
\(225\) −11.1827 + 14.0227i −0.745514 + 0.934845i
\(226\) −5.64603 + 9.77922i −0.375569 + 0.650504i
\(227\) −8.55609 14.8196i −0.567887 0.983610i −0.996775 0.0802518i \(-0.974428\pi\)
0.428887 0.903358i \(-0.358906\pi\)
\(228\) 21.8172 + 3.28842i 1.44488 + 0.217781i
\(229\) −10.6885 9.91745i −0.706314 0.655364i 0.242880 0.970056i \(-0.421908\pi\)
−0.949194 + 0.314693i \(0.898098\pi\)
\(230\) −31.8559 + 15.3410i −2.10052 + 1.01156i
\(231\) −9.30371 0.977146i −0.612139 0.0642915i
\(232\) −29.5067 14.2097i −1.93721 0.932910i
\(233\) −4.15976 10.5989i −0.272515 0.694357i −0.999966 0.00819759i \(-0.997391\pi\)
0.727451 0.686159i \(-0.240705\pi\)
\(234\) −0.459653 6.13365i −0.0300485 0.400969i
\(235\) −29.8323 + 9.20204i −1.94604 + 0.600275i
\(236\) 3.15632 42.1182i 0.205459 2.74166i
\(237\) −3.40565 14.9211i −0.221221 0.969232i
\(238\) 2.03580 3.92339i 0.131961 0.254316i
\(239\) −0.666439 + 2.91986i −0.0431083 + 0.188870i −0.991898 0.127040i \(-0.959452\pi\)
0.948789 + 0.315910i \(0.102310\pi\)
\(240\) −54.5644 16.8309i −3.52211 1.08643i
\(241\) 6.70198 17.0764i 0.431712 1.09998i −0.535166 0.844747i \(-0.679751\pi\)
0.966878 0.255238i \(-0.0821538\pi\)
\(242\) −9.74830 + 9.04510i −0.626645 + 0.581441i
\(243\) 13.3266 9.08595i 0.854904 0.582864i
\(244\) −25.6339 −1.64104
\(245\) −13.9677 + 21.1672i −0.892365 + 1.35232i
\(246\) −17.9179 −1.14240
\(247\) −3.55189 + 2.42164i −0.226002 + 0.154085i
\(248\) −5.45266 + 5.05933i −0.346244 + 0.321268i
\(249\) 1.75177 4.46343i 0.111014 0.282858i
\(250\) −30.1506 9.30023i −1.90689 0.588198i
\(251\) −0.166453 + 0.729278i −0.0105064 + 0.0460316i −0.979909 0.199443i \(-0.936087\pi\)
0.969403 + 0.245475i \(0.0789438\pi\)
\(252\) −33.0316 + 6.50881i −2.08080 + 0.410016i
\(253\) −3.09513 13.5606i −0.194589 0.852550i
\(254\) −3.50749 + 46.8043i −0.220080 + 2.93676i
\(255\) −1.84792 + 0.570008i −0.115721 + 0.0356953i
\(256\) 6.97149 + 93.0280i 0.435718 + 5.81425i
\(257\) −5.18305 13.2062i −0.323310 0.823780i −0.996444 0.0842593i \(-0.973148\pi\)
0.673134 0.739520i \(-0.264948\pi\)
\(258\) −6.47859 3.11992i −0.403339 0.194238i
\(259\) 1.84280 + 1.13858i 0.114506 + 0.0707478i
\(260\) 18.8169 9.06175i 1.16698 0.561986i
\(261\) 5.05142 + 4.68703i 0.312675 + 0.290120i
\(262\) 46.4929 + 7.00767i 2.87234 + 0.432935i
\(263\) −8.90535 15.4245i −0.549127 0.951117i −0.998335 0.0576889i \(-0.981627\pi\)
0.449207 0.893428i \(-0.351706\pi\)
\(264\) 18.5465 32.1235i 1.14146 1.97706i
\(265\) −5.63805 + 7.06989i −0.346343 + 0.434300i
\(266\) 20.8541 + 23.8658i 1.27865 + 1.46330i
\(267\) 7.45581 + 9.34929i 0.456288 + 0.572167i
\(268\) −79.4821 + 11.9800i −4.85514 + 0.731795i
\(269\) 12.9297 + 8.81529i 0.788335 + 0.537478i 0.889252 0.457417i \(-0.151225\pi\)
−0.100917 + 0.994895i \(0.532178\pi\)
\(270\) 38.6709 + 26.3654i 2.35344 + 1.60455i
\(271\) 14.2607 2.14945i 0.866274 0.130570i 0.299154 0.954205i \(-0.403296\pi\)
0.567120 + 0.823635i \(0.308058\pi\)
\(272\) 6.61755 + 8.29815i 0.401248 + 0.503149i
\(273\) −1.38441 + 1.90578i −0.0837881 + 0.115343i
\(274\) 33.1010 41.5074i 1.99971 2.50755i
\(275\) 16.1348 27.9464i 0.972968 1.68523i
\(276\) 8.98779 + 15.5673i 0.541001 + 0.937042i
\(277\) −13.5068 2.03582i −0.811545 0.122321i −0.269857 0.962900i \(-0.586976\pi\)
−0.541688 + 0.840580i \(0.682215\pi\)
\(278\) 13.4966 + 12.5230i 0.809474 + 0.751082i
\(279\) 1.41011 0.679071i 0.0844209 0.0406549i
\(280\) −54.1408 84.7366i −3.23553 5.06398i
\(281\) 27.2301 + 13.1133i 1.62441 + 0.782276i 0.999999 + 0.00118109i \(0.000375954\pi\)
0.624413 + 0.781095i \(0.285338\pi\)
\(282\) 7.81034 + 19.9004i 0.465099 + 1.18505i
\(283\) 1.41278 + 18.8523i 0.0839812 + 1.12065i 0.866885 + 0.498508i \(0.166119\pi\)
−0.782904 + 0.622143i \(0.786262\pi\)
\(284\) 73.2546 22.5960i 4.34686 1.34083i
\(285\) 1.03621 13.8273i 0.0613799 0.819058i
\(286\) 2.46254 + 10.7891i 0.145613 + 0.637972i
\(287\) −14.5776 12.3545i −0.860486 0.729265i
\(288\) 13.9243 61.0065i 0.820500 3.59484i
\(289\) −15.9013 4.90489i −0.935368 0.288523i
\(290\) −11.5140 + 29.3373i −0.676128 + 1.72275i
\(291\) −5.76654 + 5.35057i −0.338041 + 0.313656i
\(292\) −54.7445 + 37.3242i −3.20368 + 2.18423i
\(293\) −9.23444 −0.539481 −0.269741 0.962933i \(-0.586938\pi\)
−0.269741 + 0.962933i \(0.586938\pi\)
\(294\) 15.1690 + 8.45482i 0.884676 + 0.493095i
\(295\) −26.5437 −1.54543
\(296\) −7.09660 + 4.83838i −0.412482 + 0.281225i
\(297\) −13.4971 + 12.5235i −0.783181 + 0.726686i
\(298\) −3.97715 + 10.1336i −0.230390 + 0.587024i
\(299\) −3.34675 1.03234i −0.193548 0.0597015i
\(300\) −9.27985 + 40.6577i −0.535772 + 2.34737i
\(301\) −3.11962 7.00534i −0.179812 0.403781i
\(302\) −5.27292 23.1022i −0.303422 1.32938i
\(303\) 0.0614687 0.820242i 0.00353128 0.0471217i
\(304\) −72.7219 + 22.4317i −4.17089 + 1.28655i
\(305\) 1.20389 + 16.0648i 0.0689344 + 0.919866i
\(306\) −1.34727 3.43279i −0.0770182 0.196239i
\(307\) 21.7924 + 10.4947i 1.24376 + 0.598964i 0.935832 0.352446i \(-0.114650\pi\)
0.307928 + 0.951410i \(0.400364\pi\)
\(308\) 57.0210 20.4374i 3.24907 1.16453i
\(309\) −2.33985 + 1.12681i −0.133110 + 0.0641022i
\(310\) 5.24720 + 4.86869i 0.298021 + 0.276523i
\(311\) 10.2635 + 1.54697i 0.581989 + 0.0877207i 0.433437 0.901184i \(-0.357301\pi\)
0.148552 + 0.988905i \(0.452539\pi\)
\(312\) −4.66997 8.08862i −0.264385 0.457928i
\(313\) 4.04084 6.99894i 0.228402 0.395603i −0.728933 0.684585i \(-0.759983\pi\)
0.957335 + 0.288982i \(0.0933167\pi\)
\(314\) 6.95793 8.72497i 0.392659 0.492379i
\(315\) 5.63038 + 20.3952i 0.317236 + 1.14914i
\(316\) 61.7872 + 77.4788i 3.47580 + 4.35852i
\(317\) 8.44336 1.27263i 0.474227 0.0714781i 0.0924194 0.995720i \(-0.470540\pi\)
0.381807 + 0.924242i \(0.375302\pi\)
\(318\) 5.11628 + 3.48822i 0.286907 + 0.195610i
\(319\) −10.2438 6.98411i −0.573543 0.391035i
\(320\) 156.154 23.5364i 8.72925 1.31572i
\(321\) 6.60417 + 8.28137i 0.368609 + 0.462221i
\(322\) −4.60859 + 25.4064i −0.256827 + 1.41584i
\(323\) −1.60696 + 2.01506i −0.0894136 + 0.112121i
\(324\) −7.18989 + 12.4532i −0.399438 + 0.691847i
\(325\) −4.06272 7.03684i −0.225359 0.390334i
\(326\) 3.78969 + 0.571203i 0.209891 + 0.0316360i
\(327\) 0.709082 + 0.657932i 0.0392123 + 0.0363837i
\(328\) 68.2641 32.8743i 3.76926 1.81518i
\(329\) −7.36720 + 21.5758i −0.406167 + 1.18951i
\(330\) −32.1603 15.4876i −1.77037 0.852564i
\(331\) 3.02675 + 7.71203i 0.166365 + 0.423892i 0.989607 0.143800i \(-0.0459320\pi\)
−0.823242 + 0.567691i \(0.807837\pi\)
\(332\) 2.32014 + 30.9601i 0.127334 + 1.69915i
\(333\) 1.72694 0.532690i 0.0946357 0.0291912i
\(334\) −2.56339 + 34.2061i −0.140262 + 1.87167i
\(335\) 11.2407 + 49.2487i 0.614145 + 2.69075i
\(336\) −33.3638 + 25.0152i −1.82014 + 1.36469i
\(337\) −0.720109 + 3.15500i −0.0392268 + 0.171864i −0.990747 0.135723i \(-0.956664\pi\)
0.951520 + 0.307587i \(0.0995215\pi\)
\(338\) 2.66274 + 0.821345i 0.144834 + 0.0446753i
\(339\) 1.31810 3.35847i 0.0715895 0.182407i
\(340\) 9.17898 8.51685i 0.497800 0.461891i
\(341\) −2.32662 + 1.58626i −0.125993 + 0.0859008i
\(342\) 26.4417 1.42980
\(343\) 6.51150 + 17.3378i 0.351588 + 0.936155i
\(344\) 30.4065 1.63941
\(345\) 9.33391 6.36375i 0.502521 0.342613i
\(346\) −43.0637 + 39.9573i −2.31512 + 2.14812i
\(347\) −9.53287 + 24.2894i −0.511751 + 1.30392i 0.408559 + 0.912732i \(0.366031\pi\)
−0.920310 + 0.391189i \(0.872064\pi\)
\(348\) 15.3107 + 4.72273i 0.820740 + 0.253165i
\(349\) 1.73350 7.59496i 0.0927922 0.406549i −0.907105 0.420905i \(-0.861713\pi\)
0.999897 + 0.0143558i \(0.00456975\pi\)
\(350\) −47.9289 + 35.9357i −2.56191 + 1.92085i
\(351\) 1.03164 + 4.51992i 0.0550650 + 0.241255i
\(352\) −8.41350 + 112.270i −0.448441 + 5.98403i
\(353\) 28.9051 8.91604i 1.53846 0.474553i 0.594359 0.804200i \(-0.297406\pi\)
0.944104 + 0.329647i \(0.106930\pi\)
\(354\) 1.35833 + 18.1257i 0.0721945 + 0.963368i
\(355\) −17.6013 44.8474i −0.934180 2.38025i
\(356\) −69.7615 33.5954i −3.69735 1.78055i
\(357\) −0.456351 + 1.33649i −0.0241527 + 0.0707343i
\(358\) 41.9484 20.2013i 2.21704 1.06767i
\(359\) −4.49811 4.17364i −0.237401 0.220276i 0.552496 0.833516i \(-0.313676\pi\)
−0.789897 + 0.613240i \(0.789866\pi\)
\(360\) −82.9568 12.5037i −4.37221 0.659004i
\(361\) 0.259849 + 0.450072i 0.0136763 + 0.0236880i
\(362\) 8.08810 14.0090i 0.425101 0.736297i
\(363\) 2.64912 3.32189i 0.139043 0.174354i
\(364\) 2.72224 15.0072i 0.142684 0.786593i
\(365\) 25.9621 + 32.5554i 1.35892 + 1.70403i
\(366\) 10.9084 1.64418i 0.570191 0.0859425i
\(367\) 4.62298 + 3.15190i 0.241318 + 0.164528i 0.677940 0.735117i \(-0.262873\pi\)
−0.436622 + 0.899645i \(0.643825\pi\)
\(368\) −51.2285 34.9270i −2.67047 1.82070i
\(369\) −15.7642 + 2.37608i −0.820654 + 0.123694i
\(370\) 5.15339 + 6.46215i 0.267912 + 0.335951i
\(371\) 1.75733 + 6.36565i 0.0912359 + 0.330488i
\(372\) 2.26895 2.84517i 0.117639 0.147515i
\(373\) −16.3013 + 28.2348i −0.844052 + 1.46194i 0.0423904 + 0.999101i \(0.486503\pi\)
−0.886442 + 0.462839i \(0.846831\pi\)
\(374\) 3.31744 + 5.74597i 0.171541 + 0.297117i
\(375\) 9.96854 + 1.50252i 0.514773 + 0.0775896i
\(376\) −66.2678 61.4876i −3.41750 3.17098i
\(377\) −2.81266 + 1.35451i −0.144860 + 0.0697607i
\(378\) 32.1757 11.5324i 1.65494 0.593160i
\(379\) −5.28211 2.54373i −0.271324 0.130663i 0.293275 0.956028i \(-0.405255\pi\)
−0.564599 + 0.825366i \(0.690969\pi\)
\(380\) 32.8013 + 83.5765i 1.68267 + 4.28738i
\(381\) −1.12066 14.9542i −0.0574132 0.766126i
\(382\) 33.6494 10.3795i 1.72165 0.531059i
\(383\) −0.0631402 + 0.842548i −0.00322631 + 0.0430522i −0.998585 0.0531866i \(-0.983062\pi\)
0.995358 + 0.0962388i \(0.0306812\pi\)
\(384\) −12.8305 56.2141i −0.654754 2.86866i
\(385\) −15.4861 34.7752i −0.789243 1.77231i
\(386\) 0.256944 1.12574i 0.0130781 0.0572988i
\(387\) −6.11363 1.88581i −0.310773 0.0958609i
\(388\) 18.6088 47.4146i 0.944721 2.40711i
\(389\) 0.381782 0.354242i 0.0193571 0.0179608i −0.670435 0.741968i \(-0.733892\pi\)
0.689792 + 0.724008i \(0.257702\pi\)
\(390\) −7.42623 + 5.06312i −0.376042 + 0.256381i
\(391\) −2.09981 −0.106192
\(392\) −73.3038 4.38057i −3.70240 0.221252i
\(393\) −15.0225 −0.757784
\(394\) −7.43914 + 5.07192i −0.374779 + 0.255520i
\(395\) 45.6541 42.3608i 2.29711 2.13140i
\(396\) 18.4628 47.0426i 0.927793 2.36398i
\(397\) −20.2322 6.24082i −1.01543 0.313218i −0.258005 0.966144i \(-0.583065\pi\)
−0.757422 + 0.652926i \(0.773541\pi\)
\(398\) 0.344321 1.50857i 0.0172593 0.0756178i
\(399\) −7.72504 6.54699i −0.386735 0.327759i
\(400\) −32.0084 140.238i −1.60042 7.01191i
\(401\) 1.62531 21.6882i 0.0811639 1.08306i −0.796772 0.604279i \(-0.793461\pi\)
0.877936 0.478777i \(-0.158920\pi\)
\(402\) 33.0549 10.1961i 1.64863 0.508534i
\(403\) 0.0529867 + 0.707059i 0.00263946 + 0.0352211i
\(404\) 1.94579 + 4.95780i 0.0968069 + 0.246660i
\(405\) 8.14211 + 3.92103i 0.404585 + 0.194838i
\(406\) 12.3919 + 19.3947i 0.615000 + 0.962545i
\(407\) −2.92955 + 1.41079i −0.145212 + 0.0699305i
\(408\) −4.10487 3.80876i −0.203221 0.188562i
\(409\) −21.3946 3.22471i −1.05789 0.159452i −0.403020 0.915191i \(-0.632040\pi\)
−0.654873 + 0.755739i \(0.727278\pi\)
\(410\) −36.4562 63.1440i −1.80044 3.11846i
\(411\) −8.48124 + 14.6899i −0.418349 + 0.724601i
\(412\) 10.4845 13.1472i 0.516535 0.647714i
\(413\) −11.3927 + 15.6832i −0.560598 + 0.771720i
\(414\) 13.4315 + 16.8425i 0.660121 + 0.827766i
\(415\) 19.2937 2.90805i 0.947089 0.142751i
\(416\) 23.4228 + 15.9694i 1.14840 + 0.782964i
\(417\) −4.86042 3.31378i −0.238016 0.162276i
\(418\) −47.0423 + 7.09049i −2.30091 + 0.346807i
\(419\) −15.8230 19.8414i −0.773004 0.969316i 0.226985 0.973898i \(-0.427113\pi\)
−0.999990 + 0.00458170i \(0.998542\pi\)
\(420\) 32.3707 + 37.0456i 1.57953 + 1.80764i
\(421\) 6.16401 7.72942i 0.300415 0.376709i −0.608596 0.793480i \(-0.708267\pi\)
0.909011 + 0.416771i \(0.136838\pi\)
\(422\) 10.0769 17.4537i 0.490536 0.849634i
\(423\) 9.51057 + 16.4728i 0.462420 + 0.800934i
\(424\) −25.8921 3.90260i −1.25743 0.189527i
\(425\) −3.57110 3.31350i −0.173224 0.160728i
\(426\) −29.7238 + 14.3142i −1.44012 + 0.693527i
\(427\) 10.0085 + 6.18378i 0.484345 + 0.299254i
\(428\) −61.7930 29.7579i −2.98688 1.43840i
\(429\) −1.29178 3.29140i −0.0623676 0.158910i
\(430\) −2.18666 29.1790i −0.105450 1.40713i
\(431\) −22.5478 + 6.95508i −1.08609 + 0.335015i −0.785578 0.618763i \(-0.787634\pi\)
−0.300513 + 0.953778i \(0.597158\pi\)
\(432\) −6.13339 + 81.8444i −0.295093 + 3.93774i
\(433\) −3.70965 16.2530i −0.178274 0.781070i −0.982427 0.186648i \(-0.940238\pi\)
0.804153 0.594423i \(-0.202619\pi\)
\(434\) 5.12877 1.01061i 0.246189 0.0485109i
\(435\) 2.24067 9.81701i 0.107432 0.470689i
\(436\) −5.98502 1.84613i −0.286630 0.0884138i
\(437\) 5.50063 14.0154i 0.263131 0.670447i
\(438\) 20.9023 19.3945i 0.998750 0.926704i
\(439\) 15.2149 10.3733i 0.726167 0.495092i −0.142931 0.989733i \(-0.545653\pi\)
0.869098 + 0.494640i \(0.164700\pi\)
\(440\) 150.941 7.19583
\(441\) 14.4670 + 5.42705i 0.688904 + 0.258431i
\(442\) 1.67065 0.0794647
\(443\) 21.9161 14.9422i 1.04127 0.709924i 0.0832187 0.996531i \(-0.473480\pi\)
0.958048 + 0.286608i \(0.0925276\pi\)
\(444\) 3.08035 2.85815i 0.146187 0.135642i
\(445\) −17.7779 + 45.2973i −0.842751 + 2.14730i
\(446\) −24.0424 7.41608i −1.13844 0.351162i
\(447\) 0.773965 3.39096i 0.0366073 0.160387i
\(448\) 53.1156 102.364i 2.50948 4.83627i
\(449\) −0.495476 2.17082i −0.0233830 0.102447i 0.961890 0.273437i \(-0.0881606\pi\)
−0.985273 + 0.170990i \(0.945303\pi\)
\(450\) −3.73489 + 49.8386i −0.176064 + 2.34941i
\(451\) 27.4089 8.45454i 1.29064 0.398109i
\(452\) 1.74577 + 23.2957i 0.0821140 + 1.09574i
\(453\) 2.76602 + 7.04771i 0.129959 + 0.331130i
\(454\) −42.9615 20.6892i −2.01628 0.970990i
\(455\) −9.53287 1.00121i −0.446908 0.0469377i
\(456\) 36.1750 17.4209i 1.69405 0.815810i
\(457\) 26.6001 + 24.6813i 1.24430 + 1.15454i 0.981863 + 0.189594i \(0.0607172\pi\)
0.262439 + 0.964949i \(0.415473\pi\)
\(458\) −40.1760 6.05556i −1.87730 0.282958i
\(459\) 1.38979 + 2.40719i 0.0648698 + 0.112358i
\(460\) −36.5736 + 63.3474i −1.70525 + 2.95359i
\(461\) −14.9761 + 18.7795i −0.697508 + 0.874647i −0.996835 0.0795036i \(-0.974666\pi\)
0.299327 + 0.954151i \(0.403238\pi\)
\(462\) −22.9542 + 12.3544i −1.06792 + 0.574779i
\(463\) −5.74256 7.20094i −0.266879 0.334656i 0.630276 0.776371i \(-0.282942\pi\)
−0.897155 + 0.441715i \(0.854370\pi\)
\(464\) −54.6483 + 8.23691i −2.53699 + 0.382389i
\(465\) −1.88962 1.28832i −0.0876292 0.0597446i
\(466\) −26.2144 17.8727i −1.21436 0.827935i
\(467\) 26.1368 3.93948i 1.20947 0.182298i 0.486811 0.873507i \(-0.338160\pi\)
0.722654 + 0.691210i \(0.242922\pi\)
\(468\) −7.93381 9.94868i −0.366740 0.459878i
\(469\) 33.9230 + 14.4963i 1.56642 + 0.669378i
\(470\) −54.2396 + 68.0143i −2.50189 + 3.13726i
\(471\) −1.78278 + 3.08787i −0.0821462 + 0.142281i
\(472\) −38.4305 66.5637i −1.76891 3.06384i
\(473\) 11.3824 + 1.71562i 0.523364 + 0.0788845i
\(474\) −31.2628 29.0077i −1.43595 1.33237i
\(475\) 31.4710 15.1557i 1.44399 0.695389i
\(476\) −1.09247 9.07883i −0.0500732 0.416128i
\(477\) 4.96390 + 2.39049i 0.227281 + 0.109453i
\(478\) 3.04896 + 7.76863i 0.139456 + 0.355329i
\(479\) 0.691855 + 9.23216i 0.0316117 + 0.421828i 0.990450 + 0.137875i \(0.0440271\pi\)
−0.958838 + 0.283954i \(0.908354\pi\)
\(480\) −87.3767 + 26.9521i −3.98818 + 1.23019i
\(481\) −0.0611840 + 0.816444i −0.00278975 + 0.0372267i
\(482\) −11.3747 49.8358i −0.518103 2.26996i
\(483\) 0.246175 8.24625i 0.0112014 0.375217i
\(484\) −6.12185 + 26.8216i −0.278266 + 1.21916i
\(485\) −30.5886 9.43534i −1.38896 0.428437i
\(486\) 16.4202 41.8379i 0.744834 1.89781i
\(487\) 21.2044 19.6748i 0.960865 0.891552i −0.0332979 0.999445i \(-0.510601\pi\)
0.994162 + 0.107893i \(0.0344105\pi\)
\(488\) −38.5426 + 26.2779i −1.74474 + 1.18955i
\(489\) −1.22450 −0.0553738
\(490\) 1.06786 + 70.6593i 0.0482410 + 3.19206i
\(491\) 41.3087 1.86424 0.932119 0.362152i \(-0.117958\pi\)
0.932119 + 0.362152i \(0.117958\pi\)
\(492\) −30.6273 + 20.8814i −1.38079 + 0.941405i
\(493\) −1.37203 + 1.27306i −0.0617932 + 0.0573357i
\(494\) −4.37640 + 11.1509i −0.196904 + 0.501702i
\(495\) −30.3486 9.36132i −1.36407 0.420760i
\(496\) −2.79312 + 12.2374i −0.125415 + 0.549478i
\(497\) −34.0524 8.84910i −1.52746 0.396937i
\(498\) −2.97312 13.0261i −0.133229 0.583713i
\(499\) 0.563719 7.52231i 0.0252355 0.336745i −0.970269 0.242030i \(-0.922187\pi\)
0.995504 0.0947152i \(-0.0301941\pi\)
\(500\) −62.3754 + 19.2403i −2.78951 + 0.860451i
\(501\) −0.819015 10.9290i −0.0365909 0.488272i
\(502\) 0.761524 + 1.94033i 0.0339885 + 0.0866012i
\(503\) 33.6488 + 16.2044i 1.50033 + 0.722520i 0.990469 0.137738i \(-0.0439833\pi\)
0.509859 + 0.860258i \(0.329698\pi\)
\(504\) −42.9933 + 43.6479i −1.91507 + 1.94423i
\(505\) 3.01567 1.45227i 0.134195 0.0646251i
\(506\) −28.4123 26.3628i −1.26308 1.17197i
\(507\) −0.880366 0.132694i −0.0390984 0.00589314i
\(508\) 48.5500 + 84.0910i 2.15406 + 3.73094i
\(509\) −12.0975 + 20.9535i −0.536213 + 0.928748i 0.462891 + 0.886415i \(0.346812\pi\)
−0.999104 + 0.0423324i \(0.986521\pi\)
\(510\) −3.35980 + 4.21305i −0.148774 + 0.186557i
\(511\) 30.3783 1.36660i 1.34386 0.0604548i
\(512\) 81.3188 + 101.971i 3.59382 + 4.50651i
\(513\) −19.7076 + 2.97045i −0.870113 + 0.131148i
\(514\) −32.6630 22.2693i −1.44071 0.982256i
\(515\) −8.73172 5.95319i −0.384766 0.262329i
\(516\) −14.7099 + 2.21716i −0.647568 + 0.0976051i
\(517\) −21.3375 26.7563i −0.938421 1.17674i
\(518\) 6.02999 0.271266i 0.264943 0.0119187i
\(519\) 11.7026 14.6746i 0.513689 0.644145i
\(520\) 19.0033 32.9147i 0.833350 1.44340i
\(521\) −4.81172 8.33415i −0.210805 0.365126i 0.741161 0.671327i \(-0.234275\pi\)
−0.951967 + 0.306201i \(0.900942\pi\)
\(522\) 18.9874 + 2.86189i 0.831055 + 0.125261i
\(523\) −1.50275 1.39435i −0.0657107 0.0609706i 0.646634 0.762801i \(-0.276176\pi\)
−0.712345 + 0.701830i \(0.752367\pi\)
\(524\) 87.6378 42.2042i 3.82848 1.84370i
\(525\) 13.4312 13.6358i 0.586187 0.595113i
\(526\) −44.7152 21.5337i −1.94967 0.938914i
\(527\) 0.155307 + 0.395716i 0.00676528 + 0.0172376i
\(528\) −4.67769 62.4195i −0.203570 2.71646i
\(529\) −10.2567 + 3.16377i −0.445943 + 0.137555i
\(530\) −1.88304 + 25.1274i −0.0817940 + 1.09147i
\(531\) 3.59870 + 15.7669i 0.156170 + 0.684227i
\(532\) 63.4593 + 16.4910i 2.75131 + 0.714974i
\(533\) 1.60713 7.04130i 0.0696126 0.304993i
\(534\) 31.8415 + 9.82180i 1.37792 + 0.425031i
\(535\) −15.7472 + 40.1232i −0.680810 + 1.73468i
\(536\) −107.227 + 99.4918i −4.63149 + 4.29739i
\(537\) −12.2910 + 8.37989i −0.530397 + 0.361619i
\(538\) 43.6059 1.87999
\(539\) −27.1934 5.77584i −1.17130 0.248783i
\(540\) 96.8270 4.16677
\(541\) 29.5422 20.1415i 1.27012 0.865953i 0.274697 0.961531i \(-0.411422\pi\)
0.995422 + 0.0955781i \(0.0304700\pi\)
\(542\) 29.4589 27.3339i 1.26537 1.17409i
\(543\) −1.88822 + 4.81110i −0.0810312 + 0.206464i
\(544\) 16.2412 + 5.00975i 0.696335 + 0.214791i
\(545\) −0.875887 + 3.83751i −0.0375189 + 0.164381i
\(546\) −0.195861 + 6.56087i −0.00838209 + 0.280779i
\(547\) −0.850347 3.72561i −0.0363582 0.159296i 0.953490 0.301425i \(-0.0974623\pi\)
−0.989848 + 0.142129i \(0.954605\pi\)
\(548\) 8.20777 109.525i 0.350618 4.67868i
\(549\) 9.37925 2.89311i 0.400296 0.123475i
\(550\) −6.71977 89.6691i −0.286532 3.82350i
\(551\) −4.90299 12.4926i −0.208874 0.532203i
\(552\) 29.4722 + 14.1931i 1.25442 + 0.604098i
\(553\) −5.43368 45.1560i −0.231063 1.92023i
\(554\) −34.2929 + 16.5146i −1.45697 + 0.701638i
\(555\) −1.93587 1.79622i −0.0821730 0.0762454i
\(556\) 37.6643 + 5.67698i 1.59732 + 0.240758i
\(557\) −10.5353 18.2477i −0.446396 0.773181i 0.551752 0.834008i \(-0.313959\pi\)
−0.998148 + 0.0608274i \(0.980626\pi\)
\(558\) 2.18060 3.77691i 0.0923122 0.159889i
\(559\) 1.80715 2.26609i 0.0764343 0.0958456i
\(560\) −156.038 66.6801i −6.59383 2.81775i
\(561\) −1.32172 1.65739i −0.0558031 0.0699749i
\(562\) 83.2771 12.5520i 3.51283 0.529475i
\(563\) 14.2883 + 9.74158i 0.602179 + 0.410559i 0.825675 0.564146i \(-0.190795\pi\)
−0.223496 + 0.974705i \(0.571747\pi\)
\(564\) 36.5422 + 24.9140i 1.53870 + 1.04907i
\(565\) 14.5174 2.18814i 0.610751 0.0920558i
\(566\) 32.8453 + 41.1867i 1.38059 + 1.73121i
\(567\) 5.81136 3.12780i 0.244054 0.131355i
\(568\) 86.9803 109.070i 3.64961 4.57647i
\(569\) 23.8274 41.2703i 0.998897 1.73014i 0.458785 0.888547i \(-0.348285\pi\)
0.540112 0.841593i \(-0.318382\pi\)
\(570\) −19.3191 33.4617i −0.809189 1.40156i
\(571\) 10.5254 + 1.58645i 0.440475 + 0.0663909i 0.365536 0.930797i \(-0.380886\pi\)
0.0749391 + 0.997188i \(0.476124\pi\)
\(572\) 16.7828 + 15.5722i 0.701724 + 0.651105i
\(573\) −10.1368 + 4.88162i −0.423470 + 0.203932i
\(574\) −52.9556 5.56179i −2.21032 0.232145i
\(575\) 25.6399 + 12.3475i 1.06926 + 0.514927i
\(576\) −35.1513 89.5642i −1.46464 3.73184i
\(577\) −0.173747 2.31850i −0.00723320 0.0965203i 0.992419 0.122903i \(-0.0392203\pi\)
−0.999652 + 0.0263824i \(0.991601\pi\)
\(578\) −44.3094 + 13.6676i −1.84303 + 0.568498i
\(579\) −0.0275702 + 0.367899i −0.00114578 + 0.0152893i
\(580\) 14.5083 + 63.5652i 0.602426 + 2.63940i
\(581\) 6.56275 12.6477i 0.272269 0.524716i
\(582\) −4.87771 + 21.3706i −0.202188 + 0.885842i
\(583\) −9.47228 2.92181i −0.392302 0.121009i
\(584\) −44.0508 + 112.240i −1.82284 + 4.64451i
\(585\) −5.86222 + 5.43935i −0.242373 + 0.224889i
\(586\) −21.2608 + 14.4954i −0.878277 + 0.598799i
\(587\) 13.7602 0.567943 0.283972 0.958833i \(-0.408348\pi\)
0.283972 + 0.958833i \(0.408348\pi\)
\(588\) 35.7819 3.22590i 1.47562 0.133034i
\(589\) −3.04808 −0.125594
\(590\) −61.1126 + 41.6659i −2.51597 + 1.71536i
\(591\) 2.10877 1.95665i 0.0867432 0.0804860i
\(592\) −5.29527 + 13.4921i −0.217634 + 0.554523i
\(593\) −22.6192 6.97711i −0.928861 0.286516i −0.206830 0.978377i \(-0.566315\pi\)
−0.722030 + 0.691861i \(0.756791\pi\)
\(594\) −11.4167 + 50.0199i −0.468433 + 2.05234i
\(595\) −5.63839 + 1.11103i −0.231151 + 0.0455479i
\(596\) 5.01143 + 21.9565i 0.205276 + 0.899373i
\(597\) −0.0369459 + 0.493008i −0.00151209 + 0.0201775i
\(598\) −9.32583 + 2.87664i −0.381362 + 0.117634i
\(599\) 1.24144 + 16.5658i 0.0507237 + 0.676861i 0.963381 + 0.268136i \(0.0864075\pi\)
−0.912657 + 0.408725i \(0.865973\pi\)
\(600\) 27.7261 + 70.6450i 1.13191 + 2.88407i
\(601\) −10.1721 4.89863i −0.414929 0.199819i 0.214760 0.976667i \(-0.431103\pi\)
−0.629688 + 0.776848i \(0.716817\pi\)
\(602\) −18.1788 11.2318i −0.740912 0.457774i
\(603\) 27.7298 13.3540i 1.12924 0.543815i
\(604\) −35.9362 33.3439i −1.46222 1.35675i
\(605\) 17.0966 + 2.57689i 0.695074 + 0.104766i
\(606\) −1.14602 1.98497i −0.0465539 0.0806337i
\(607\) −22.3672 + 38.7411i −0.907857 + 1.57245i −0.0908217 + 0.995867i \(0.528949\pi\)
−0.817035 + 0.576587i \(0.804384\pi\)
\(608\) −75.9831 + 95.2798i −3.08152 + 3.86411i
\(609\) −4.83862 5.53740i −0.196071 0.224387i
\(610\) 27.9888 + 35.0968i 1.13323 + 1.42103i
\(611\) −8.52095 + 1.28433i −0.344721 + 0.0519583i
\(612\) −6.30346 4.29763i −0.254802 0.173721i
\(613\) −20.3331 13.8629i −0.821245 0.559915i 0.0782058 0.996937i \(-0.475081\pi\)
−0.899451 + 0.437022i \(0.856033\pi\)
\(614\) 66.6473 10.0455i 2.68967 0.405402i
\(615\) 14.5247 + 18.2134i 0.585694 + 0.734437i
\(616\) 64.7847 89.1827i 2.61025 3.59327i
\(617\) −10.7192 + 13.4414i −0.431539 + 0.541132i −0.949291 0.314398i \(-0.898197\pi\)
0.517753 + 0.855530i \(0.326769\pi\)
\(618\) −3.61837 + 6.26720i −0.145552 + 0.252104i
\(619\) −7.89190 13.6692i −0.317202 0.549410i 0.662701 0.748884i \(-0.269410\pi\)
−0.979903 + 0.199474i \(0.936077\pi\)
\(620\) 14.6431 + 2.20709i 0.588080 + 0.0886388i
\(621\) −11.9029 11.0443i −0.477646 0.443191i
\(622\) 26.0584 12.5490i 1.04484 0.503171i
\(623\) 19.1333 + 29.9458i 0.766560 + 1.19975i
\(624\) −14.2003 6.83851i −0.568468 0.273760i
\(625\) 0.144519 + 0.368230i 0.00578078 + 0.0147292i
\(626\) −1.68291 22.4569i −0.0672626 0.897558i
\(627\) 14.5247 4.48028i 0.580061 0.178925i
\(628\) 1.72530 23.0225i 0.0688468 0.918697i
\(629\) 0.109228 + 0.478560i 0.00435521 + 0.0190814i
\(630\) 44.9776 + 38.1186i 1.79195 + 1.51868i
\(631\) 1.24315 5.44658i 0.0494889 0.216825i −0.944137 0.329553i \(-0.893102\pi\)
0.993626 + 0.112728i \(0.0359590\pi\)
\(632\) 172.327 + 53.1559i 6.85481 + 2.11443i
\(633\) −2.35252 + 5.99412i −0.0935043 + 0.238245i
\(634\) 17.4418 16.1837i 0.692704 0.642735i
\(635\) 50.4196 34.3755i 2.00084 1.36415i
\(636\) 12.8105 0.507969
\(637\) −4.68313 + 5.20272i −0.185552 + 0.206139i
\(638\) −34.5478 −1.36776
\(639\) −24.2530 + 16.5354i −0.959434 + 0.654131i
\(640\) 171.998 159.591i 6.79881 6.30838i
\(641\) 8.03350 20.4690i 0.317304 0.808478i −0.679869 0.733334i \(-0.737963\pi\)
0.997173 0.0751439i \(-0.0239416\pi\)
\(642\) 28.2044 + 8.69991i 1.11314 + 0.343358i
\(643\) −8.99751 + 39.4207i −0.354827 + 1.55460i 0.411050 + 0.911613i \(0.365162\pi\)
−0.765877 + 0.642987i \(0.777695\pi\)
\(644\) 21.7309 + 48.7984i 0.856317 + 1.92293i
\(645\) 2.08034 + 9.11456i 0.0819133 + 0.358885i
\(646\) −0.536705 + 7.16182i −0.0211164 + 0.281778i
\(647\) 37.6158 11.6029i 1.47883 0.456158i 0.552704 0.833378i \(-0.313596\pi\)
0.926124 + 0.377219i \(0.123120\pi\)
\(648\) 1.95555 + 26.0949i 0.0768211 + 1.02511i
\(649\) −10.6304 27.0859i −0.417281 1.06321i
\(650\) −20.3996 9.82391i −0.800137 0.385326i
\(651\) −1.57224 + 0.563519i −0.0616208 + 0.0220861i
\(652\) 7.14346 3.44011i 0.279760 0.134725i
\(653\) −16.3252 15.1476i −0.638854 0.592770i 0.292775 0.956181i \(-0.405421\pi\)
−0.931629 + 0.363411i \(0.881612\pi\)
\(654\) 2.66531 + 0.401731i 0.104222 + 0.0157089i
\(655\) −30.5652 52.9405i −1.19428 2.06856i
\(656\) 63.9289 110.728i 2.49600 4.32321i
\(657\) 15.8181 19.8352i 0.617121 0.773846i
\(658\) 16.9060 + 61.2393i 0.659063 + 2.38736i
\(659\) −28.6509 35.9270i −1.11608 1.39952i −0.906747 0.421674i \(-0.861443\pi\)
−0.209331 0.977845i \(-0.567129\pi\)
\(660\) −73.0214 + 11.0062i −2.84235 + 0.428416i
\(661\) 11.8619 + 8.08729i 0.461373 + 0.314559i 0.771605 0.636102i \(-0.219454\pi\)
−0.310232 + 0.950661i \(0.600407\pi\)
\(662\) 19.0743 + 13.0046i 0.741342 + 0.505439i
\(663\) −0.527818 + 0.0795558i −0.0204988 + 0.00308969i
\(664\) 35.2264 + 44.1724i 1.36705 + 1.71422i
\(665\) 7.35454 40.5444i 0.285197 1.57224i
\(666\) 3.13984 3.93723i 0.121666 0.152565i
\(667\) 5.46686 9.46887i 0.211678 0.366636i
\(668\) 35.4819 + 61.4564i 1.37284 + 2.37782i
\(669\) 7.94900 + 1.19812i 0.307326 + 0.0463219i
\(670\) 103.186 + 95.7428i 3.98643 + 3.69887i
\(671\) −15.9108 + 7.66222i −0.614228 + 0.295797i
\(672\) −21.5780 + 63.1941i −0.832390 + 2.43776i
\(673\) 14.6520 + 7.05601i 0.564791 + 0.271989i 0.694416 0.719574i \(-0.255663\pi\)
−0.129624 + 0.991563i \(0.541377\pi\)
\(674\) 3.29450 + 8.39425i 0.126899 + 0.323335i
\(675\) −2.81514 37.5655i −0.108355 1.44590i
\(676\) 5.50865 1.69919i 0.211871 0.0653536i
\(677\) −2.05525 + 27.4255i −0.0789898 + 1.05405i 0.807064 + 0.590464i \(0.201055\pi\)
−0.886054 + 0.463582i \(0.846564\pi\)
\(678\) −2.23710 9.80138i −0.0859154 0.376420i
\(679\) −18.7036 + 14.0234i −0.717780 + 0.538170i
\(680\) 5.07050 22.2153i 0.194445 0.851919i
\(681\) 14.5583 + 4.49064i 0.557875 + 0.172082i
\(682\) −2.86670 + 7.30423i −0.109772 + 0.279693i
\(683\) −0.801439 + 0.743627i −0.0306662 + 0.0284541i −0.695357 0.718664i \(-0.744754\pi\)
0.664691 + 0.747119i \(0.268563\pi\)
\(684\) 45.1973 30.8150i 1.72816 1.17824i
\(685\) −69.0247 −2.63730
\(686\) 42.2071 + 29.6964i 1.61147 + 1.13382i
\(687\) 12.9814 0.495272
\(688\) 42.3953 28.9046i 1.61630 1.10198i
\(689\) −1.82969 + 1.69770i −0.0697056 + 0.0646774i
\(690\) 11.5006 29.3031i 0.437820 1.11555i
\(691\) −4.99224 1.53990i −0.189914 0.0585806i 0.198339 0.980133i \(-0.436445\pi\)
−0.388253 + 0.921553i \(0.626921\pi\)
\(692\) −27.0437 + 118.486i −1.02805 + 4.50416i
\(693\) −18.5569 + 13.9134i −0.704918 + 0.528527i
\(694\) 16.1793 + 70.8862i 0.614159 + 2.69080i
\(695\) 1.78887 23.8708i 0.0678557 0.905472i
\(696\) 27.8622 8.59436i 1.05611 0.325768i
\(697\) −0.323591 4.31803i −0.0122569 0.163557i
\(698\) −7.93078 20.2073i −0.300184 0.764857i
\(699\) 9.13316 + 4.39830i 0.345448 + 0.166359i
\(700\) −40.0466 + 117.282i −1.51362 + 4.43283i
\(701\) 6.70955 3.23115i 0.253416 0.122039i −0.302864 0.953034i \(-0.597943\pi\)
0.556280 + 0.830995i \(0.312228\pi\)
\(702\) 9.47015 + 8.78702i 0.357428 + 0.331645i
\(703\) −3.48032 0.524574i −0.131263 0.0197847i
\(704\) 86.5547 + 149.917i 3.26215 + 5.65022i
\(705\) 13.8974 24.0710i 0.523407 0.906568i
\(706\) 52.5538 65.9004i 1.97789 2.48019i
\(707\) 0.436276 2.40511i 0.0164078 0.0904536i
\(708\) 23.4454 + 29.3995i 0.881130 + 1.10490i
\(709\) −11.9656 + 1.80352i −0.449377 + 0.0677326i −0.369832 0.929099i \(-0.620585\pi\)
−0.0795447 + 0.996831i \(0.525347\pi\)
\(710\) −110.922 75.6250i −4.16281 2.83816i
\(711\) −31.3519 21.3754i −1.17579 0.801639i
\(712\) −139.331 + 21.0008i −5.22166 + 0.787038i
\(713\) −1.54832 1.94153i −0.0579850 0.0727109i
\(714\) 1.04722 + 3.79338i 0.0391911 + 0.141964i
\(715\) 8.97086 11.2491i 0.335491 0.420693i
\(716\) 48.1607 83.4168i 1.79985 3.11743i
\(717\) −1.33322 2.30920i −0.0497899 0.0862386i
\(718\) −16.9076 2.54841i −0.630986 0.0951058i
\(719\) 27.6490 + 25.6545i 1.03113 + 0.956751i 0.999086 0.0427356i \(-0.0136073\pi\)
0.0320457 + 0.999486i \(0.489798\pi\)
\(720\) −127.551 + 61.4254i −4.75355 + 2.28919i
\(721\) −7.26511 + 2.60395i −0.270567 + 0.0969763i
\(722\) 1.30474 + 0.628331i 0.0485575 + 0.0233841i
\(723\) 5.96684 + 15.2033i 0.221909 + 0.565415i
\(724\) −2.50086 33.3717i −0.0929438 1.24025i
\(725\) 24.2392 7.47681i 0.900222 0.277682i
\(726\) 0.884772 11.8065i 0.0328370 0.438179i
\(727\) −2.50035 10.9547i −0.0927328 0.406289i 0.907162 0.420781i \(-0.138244\pi\)
−0.999895 + 0.0144923i \(0.995387\pi\)
\(728\) −11.2912 25.3552i −0.418478 0.939726i
\(729\) −1.53023 + 6.70438i −0.0566752 + 0.248310i
\(730\) 110.876 + 34.2008i 4.10371 + 1.26583i
\(731\) 0.634869 1.61762i 0.0234815 0.0598299i
\(732\) 16.7298 15.5230i 0.618352 0.573747i
\(733\) 9.39954 6.40849i 0.347180 0.236703i −0.377157 0.926149i \(-0.623098\pi\)
0.724337 + 0.689446i \(0.242146\pi\)
\(734\) 15.5913 0.575484
\(735\) −3.70215 22.2730i −0.136556 0.821551i
\(736\) −99.2871 −3.65977
\(737\) −45.7530 + 31.1938i −1.68533 + 1.14904i
\(738\) −32.5649 + 30.2158i −1.19873 + 1.11226i
\(739\) −6.08484 + 15.5039i −0.223834 + 0.570321i −0.998038 0.0626163i \(-0.980056\pi\)
0.774203 + 0.632937i \(0.218151\pi\)
\(740\) 16.3397 + 5.04014i 0.600661 + 0.185279i
\(741\) 0.851661 3.73137i 0.0312866 0.137075i
\(742\) 14.0382 + 11.8974i 0.515359 + 0.436768i
\(743\) −4.61545 20.2216i −0.169325 0.741859i −0.986270 0.165144i \(-0.947191\pi\)
0.816945 0.576716i \(-0.195666\pi\)
\(744\) 0.494892 6.60388i 0.0181436 0.242110i
\(745\) 13.5248 4.17184i 0.495509 0.152844i
\(746\) 6.78912 + 90.5945i 0.248567 + 3.31690i
\(747\) −4.34315 11.0662i −0.158908 0.404890i
\(748\) 12.3669 + 5.95558i 0.452178 + 0.217758i
\(749\) 16.9478 + 26.5252i 0.619259 + 0.969211i
\(750\) 25.3095 12.1884i 0.924172 0.445058i
\(751\) −11.5701 10.7355i −0.422200 0.391745i 0.440259 0.897871i \(-0.354887\pi\)
−0.862460 + 0.506126i \(0.831077\pi\)
\(752\) −150.846 22.7364i −5.50080 0.829112i
\(753\) −0.332991 0.576757i −0.0121349 0.0210182i
\(754\) −4.34953 + 7.53361i −0.158401 + 0.274358i
\(755\) −19.2089 + 24.0872i −0.699083 + 0.876622i
\(756\) 41.5587 57.2098i 1.51148 2.08070i
\(757\) 6.11423 + 7.66701i 0.222226 + 0.278662i 0.880429 0.474178i \(-0.157255\pi\)
−0.658203 + 0.752840i \(0.728683\pi\)
\(758\) −16.1541 + 2.43484i −0.586744 + 0.0884375i
\(759\) 10.2319 + 6.97596i 0.371393 + 0.253211i
\(760\) 134.996 + 92.0384i 4.89680 + 3.33858i
\(761\) −44.7757 + 6.74885i −1.62312 + 0.244645i −0.896710 0.442619i \(-0.854049\pi\)
−0.726407 + 0.687265i \(0.758811\pi\)
\(762\) −26.0539 32.6705i −0.943832 1.18353i
\(763\) 1.89144 + 2.16459i 0.0684747 + 0.0783636i
\(764\) 45.4213 56.9565i 1.64329 2.06062i
\(765\) −2.39728 + 4.15221i −0.0866738 + 0.150123i
\(766\) 1.17718 + 2.03894i 0.0425334 + 0.0736700i
\(767\) −7.24480 1.09198i −0.261594 0.0394290i
\(768\) −60.8844 56.4925i −2.19698 2.03850i
\(769\) 2.02056 0.973050i 0.0728632 0.0350891i −0.397097 0.917777i \(-0.629982\pi\)
0.469960 + 0.882687i \(0.344268\pi\)
\(770\) −90.2412 55.7557i −3.25207 2.00930i
\(771\) 11.3799 + 5.48027i 0.409837 + 0.197367i
\(772\) −0.872736 2.22370i −0.0314105 0.0800326i
\(773\) 3.08172 + 41.1227i 0.110842 + 1.47908i