Properties

Label 403.2.bl.b.16.4
Level 403
Weight 2
Character 403.16
Analytic conductor 3.218
Analytic rank 0
Dimension 280
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.bl (of order \(15\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(280\)
Relative dimension: \(35\) over \(\Q(\zeta_{15})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 16.4
Character \(\chi\) = 403.16
Dual form 403.2.bl.b.126.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.07437 - 0.923570i) q^{2} +(0.0811184 - 0.771790i) q^{3} +(2.11178 + 2.34536i) q^{4} +2.89709 q^{5} +(-0.881072 + 1.52606i) q^{6} +(-1.22242 - 1.35763i) q^{7} +(-0.811140 - 2.49643i) q^{8} +(2.34536 + 0.498522i) q^{9} +O(q^{10})\) \(q+(-2.07437 - 0.923570i) q^{2} +(0.0811184 - 0.771790i) q^{3} +(2.11178 + 2.34536i) q^{4} +2.89709 q^{5} +(-0.881072 + 1.52606i) q^{6} +(-1.22242 - 1.35763i) q^{7} +(-0.811140 - 2.49643i) q^{8} +(2.34536 + 0.498522i) q^{9} +(-6.00965 - 2.67567i) q^{10} +(-0.592020 + 0.125838i) q^{11} +(1.98143 - 1.43960i) q^{12} +(2.79216 + 2.28119i) q^{13} +(1.28188 + 3.94522i) q^{14} +(0.235008 - 2.23595i) q^{15} +(0.0367597 - 0.349745i) q^{16} +(3.62886 + 0.771338i) q^{17} +(-4.40473 - 3.20023i) q^{18} +(0.537735 + 5.11621i) q^{19} +(6.11801 + 6.79474i) q^{20} +(-1.14697 + 0.833321i) q^{21} +(1.34429 + 0.285737i) q^{22} +(-4.24104 + 4.71015i) q^{23} +(-1.99252 + 0.423523i) q^{24} +3.39315 q^{25} +(-3.68513 - 7.31080i) q^{26} +(1.29444 - 3.98387i) q^{27} +(0.602670 - 5.73403i) q^{28} +(8.09087 + 3.60229i) q^{29} +(-2.55255 + 4.42114i) q^{30} +(3.60608 - 4.24219i) q^{31} +(-3.02417 + 5.23802i) q^{32} +(0.0490966 + 0.467123i) q^{33} +(-6.81522 - 4.95155i) q^{34} +(-3.54146 - 3.93319i) q^{35} +(3.78366 + 6.55350i) q^{36} +(-5.91946 - 10.2528i) q^{37} +(3.60971 - 11.1096i) q^{38} +(1.98710 - 1.96991i) q^{39} +(-2.34995 - 7.23240i) q^{40} +(-0.274572 - 0.122247i) q^{41} +(3.14887 - 0.669312i) q^{42} +(-0.976975 - 9.29529i) q^{43} +(-1.54535 - 1.12276i) q^{44} +(6.79474 + 1.44427i) q^{45} +(13.1477 - 5.85371i) q^{46} +(-2.48042 - 1.80213i) q^{47} +(-0.266948 - 0.0567415i) q^{48} +(0.382839 - 3.64247i) q^{49} +(-7.03866 - 3.13381i) q^{50} +(0.889679 - 2.73815i) q^{51} +(0.546181 + 11.3660i) q^{52} +(-0.363210 - 1.11785i) q^{53} +(-6.36452 + 7.06852i) q^{54} +(-1.71514 + 0.364564i) q^{55} +(-2.39769 + 4.15291i) q^{56} +3.99226 q^{57} +(-13.4565 - 14.9450i) q^{58} +(-7.63379 + 3.39878i) q^{59} +(5.74040 - 4.17064i) q^{60} +(-0.326351 + 0.565257i) q^{61} +(-11.3983 + 5.46941i) q^{62} +(-2.19020 - 3.79354i) q^{63} +(10.5419 - 7.65915i) q^{64} +(8.08915 + 6.60883i) q^{65} +(0.329576 - 1.01433i) q^{66} +(3.15571 + 5.46584i) q^{67} +(5.85427 + 10.1399i) q^{68} +(3.29123 + 3.65528i) q^{69} +(3.71373 + 11.4297i) q^{70} +(-1.51228 - 0.321445i) q^{71} +(-0.657891 - 6.25941i) q^{72} +(2.72661 - 8.39165i) q^{73} +(2.80998 + 26.7352i) q^{74} +(0.275247 - 2.61880i) q^{75} +(-10.8638 + 12.0655i) q^{76} +(0.894537 + 0.649919i) q^{77} +(-5.94134 + 2.25111i) q^{78} +(4.97581 + 15.3140i) q^{79} +(0.106496 - 1.01324i) q^{80} +(3.60168 + 1.60357i) q^{81} +(0.456660 + 0.507172i) q^{82} +(-1.27928 + 0.929449i) q^{83} +(-4.37658 - 0.930270i) q^{84} +(10.5132 + 2.23464i) q^{85} +(-6.55824 + 20.1842i) q^{86} +(3.43653 - 5.95225i) q^{87} +(0.794357 + 1.37587i) q^{88} +(-2.91894 + 0.620439i) q^{89} +(-12.7609 - 9.27136i) q^{90} +(-0.316161 - 6.57930i) q^{91} -20.0032 q^{92} +(-2.98156 - 3.12726i) q^{93} +(3.48092 + 6.02913i) q^{94} +(1.55787 + 14.8221i) q^{95} +(3.79734 + 2.75893i) q^{96} +(-11.1056 - 12.3340i) q^{97} +(-4.15822 + 7.20225i) q^{98} -1.45123 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 280q + q^{2} + 39q^{4} - 8q^{5} - 2q^{7} + 12q^{8} + 29q^{9} + O(q^{10}) \) \( 280q + q^{2} + 39q^{4} - 8q^{5} - 2q^{7} + 12q^{8} + 29q^{9} - 21q^{10} - q^{11} - 16q^{12} - 54q^{14} - 27q^{15} + 31q^{16} + 2q^{17} - 10q^{18} + 5q^{19} - 3q^{20} + 68q^{21} - 39q^{22} - 7q^{23} + 48q^{24} + 200q^{25} + 6q^{26} - 78q^{27} + 30q^{28} - 16q^{29} - 66q^{30} - 62q^{31} - 56q^{32} - 20q^{33} - 126q^{34} - 37q^{35} - 140q^{36} - 36q^{37} + 4q^{38} + 28q^{39} - 158q^{40} - 4q^{41} + 16q^{42} - 16q^{43} + 42q^{44} - 46q^{45} - 29q^{46} + 8q^{47} - 36q^{48} + 43q^{49} - 5q^{50} - 134q^{51} - q^{52} + 8q^{53} + 44q^{54} - 55q^{55} - 42q^{56} + 140q^{57} + 38q^{58} - 23q^{59} + 38q^{60} + 40q^{61} + 19q^{62} - 146q^{63} - 68q^{64} + 2q^{65} + 6q^{66} + 46q^{67} + 86q^{68} - 32q^{69} - 4q^{70} + 60q^{71} + 73q^{72} - 12q^{73} - 44q^{74} + 16q^{75} - 70q^{76} + 10q^{77} - 142q^{78} + 134q^{79} - 72q^{80} - 18q^{81} + 28q^{82} - 88q^{83} + 81q^{84} - 69q^{85} + 188q^{86} - 28q^{87} + 42q^{88} + 12q^{89} + 22q^{90} + 67q^{91} - 324q^{92} - 25q^{93} - 62q^{94} + 16q^{95} + 276q^{96} + 16q^{97} + 76q^{98} - 60q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.07437 0.923570i −1.46680 0.653062i −0.490889 0.871222i \(-0.663328\pi\)
−0.975913 + 0.218160i \(0.929995\pi\)
\(3\) 0.0811184 0.771790i 0.0468337 0.445593i −0.945828 0.324668i \(-0.894747\pi\)
0.992662 0.120925i \(-0.0385860\pi\)
\(4\) 2.11178 + 2.34536i 1.05589 + 1.17268i
\(5\) 2.89709 1.29562 0.647810 0.761802i \(-0.275685\pi\)
0.647810 + 0.761802i \(0.275685\pi\)
\(6\) −0.881072 + 1.52606i −0.359696 + 0.623012i
\(7\) −1.22242 1.35763i −0.462030 0.513137i 0.466435 0.884555i \(-0.345538\pi\)
−0.928465 + 0.371419i \(0.878871\pi\)
\(8\) −0.811140 2.49643i −0.286781 0.882622i
\(9\) 2.34536 + 0.498522i 0.781788 + 0.166174i
\(10\) −6.00965 2.67567i −1.90042 0.846121i
\(11\) −0.592020 + 0.125838i −0.178501 + 0.0379415i −0.296295 0.955097i \(-0.595751\pi\)
0.117794 + 0.993038i \(0.462418\pi\)
\(12\) 1.98143 1.43960i 0.571990 0.415575i
\(13\) 2.79216 + 2.28119i 0.774406 + 0.632689i
\(14\) 1.28188 + 3.94522i 0.342597 + 1.05440i
\(15\) 0.235008 2.23595i 0.0606787 0.577320i
\(16\) 0.0367597 0.349745i 0.00918992 0.0874362i
\(17\) 3.62886 + 0.771338i 0.880128 + 0.187077i 0.625746 0.780027i \(-0.284795\pi\)
0.254382 + 0.967104i \(0.418128\pi\)
\(18\) −4.40473 3.20023i −1.03821 0.754301i
\(19\) 0.537735 + 5.11621i 0.123365 + 1.17374i 0.864588 + 0.502481i \(0.167579\pi\)
−0.741224 + 0.671258i \(0.765754\pi\)
\(20\) 6.11801 + 6.79474i 1.36803 + 1.51935i
\(21\) −1.14697 + 0.833321i −0.250289 + 0.181845i
\(22\) 1.34429 + 0.285737i 0.286603 + 0.0609194i
\(23\) −4.24104 + 4.71015i −0.884318 + 0.982135i −0.999938 0.0111585i \(-0.996448\pi\)
0.115619 + 0.993294i \(0.463115\pi\)
\(24\) −1.99252 + 0.423523i −0.406722 + 0.0864514i
\(25\) 3.39315 0.678630
\(26\) −3.68513 7.31080i −0.722714 1.43377i
\(27\) 1.29444 3.98387i 0.249114 0.766696i
\(28\) 0.602670 5.73403i 0.113894 1.08363i
\(29\) 8.09087 + 3.60229i 1.50244 + 0.668928i 0.982667 0.185378i \(-0.0593508\pi\)
0.519770 + 0.854306i \(0.326017\pi\)
\(30\) −2.55255 + 4.42114i −0.466029 + 0.807187i
\(31\) 3.60608 4.24219i 0.647671 0.761920i
\(32\) −3.02417 + 5.23802i −0.534603 + 0.925960i
\(33\) 0.0490966 + 0.467123i 0.00854662 + 0.0813157i
\(34\) −6.81522 4.95155i −1.16880 0.849184i
\(35\) −3.54146 3.93319i −0.598616 0.664830i
\(36\) 3.78366 + 6.55350i 0.630610 + 1.09225i
\(37\) −5.91946 10.2528i −0.973153 1.68555i −0.685900 0.727696i \(-0.740591\pi\)
−0.287253 0.957855i \(-0.592742\pi\)
\(38\) 3.60971 11.1096i 0.585573 1.80221i
\(39\) 1.98710 1.96991i 0.318191 0.315439i
\(40\) −2.34995 7.23240i −0.371560 1.14354i
\(41\) −0.274572 0.122247i −0.0428809 0.0190918i 0.385184 0.922840i \(-0.374138\pi\)
−0.428065 + 0.903748i \(0.640805\pi\)
\(42\) 3.14887 0.669312i 0.485881 0.103277i
\(43\) −0.976975 9.29529i −0.148987 1.41752i −0.772157 0.635432i \(-0.780822\pi\)
0.623170 0.782087i \(-0.285845\pi\)
\(44\) −1.54535 1.12276i −0.232970 0.169263i
\(45\) 6.79474 + 1.44427i 1.01290 + 0.215298i
\(46\) 13.1477 5.85371i 1.93852 0.863083i
\(47\) −2.48042 1.80213i −0.361806 0.262868i 0.391999 0.919966i \(-0.371784\pi\)
−0.753805 + 0.657098i \(0.771784\pi\)
\(48\) −0.266948 0.0567415i −0.0385306 0.00818993i
\(49\) 0.382839 3.64247i 0.0546913 0.520353i
\(50\) −7.03866 3.13381i −0.995417 0.443188i
\(51\) 0.889679 2.73815i 0.124580 0.383418i
\(52\) 0.546181 + 11.3660i 0.0757417 + 1.57618i
\(53\) −0.363210 1.11785i −0.0498907 0.153548i 0.923007 0.384782i \(-0.125724\pi\)
−0.972898 + 0.231235i \(0.925724\pi\)
\(54\) −6.36452 + 7.06852i −0.866102 + 0.961903i
\(55\) −1.71514 + 0.364564i −0.231269 + 0.0491577i
\(56\) −2.39769 + 4.15291i −0.320404 + 0.554956i
\(57\) 3.99226 0.528788
\(58\) −13.4565 14.9450i −1.76693 1.96237i
\(59\) −7.63379 + 3.39878i −0.993835 + 0.442484i −0.838219 0.545334i \(-0.816403\pi\)
−0.155616 + 0.987818i \(0.549736\pi\)
\(60\) 5.74040 4.17064i 0.741082 0.538428i
\(61\) −0.326351 + 0.565257i −0.0417850 + 0.0723737i −0.886162 0.463376i \(-0.846638\pi\)
0.844377 + 0.535750i \(0.179971\pi\)
\(62\) −11.3983 + 5.46941i −1.44759 + 0.694616i
\(63\) −2.19020 3.79354i −0.275940 0.477941i
\(64\) 10.5419 7.65915i 1.31774 0.957394i
\(65\) 8.08915 + 6.60883i 1.00334 + 0.819725i
\(66\) 0.329576 1.01433i 0.0405680 0.124855i
\(67\) 3.15571 + 5.46584i 0.385531 + 0.667759i 0.991843 0.127468i \(-0.0406850\pi\)
−0.606312 + 0.795227i \(0.707352\pi\)
\(68\) 5.85427 + 10.1399i 0.709935 + 1.22964i
\(69\) 3.29123 + 3.65528i 0.396217 + 0.440043i
\(70\) 3.71373 + 11.4297i 0.443875 + 1.36611i
\(71\) −1.51228 0.321445i −0.179474 0.0381485i 0.117298 0.993097i \(-0.462577\pi\)
−0.296772 + 0.954948i \(0.595910\pi\)
\(72\) −0.657891 6.25941i −0.0775332 0.737679i
\(73\) 2.72661 8.39165i 0.319126 0.982169i −0.654897 0.755718i \(-0.727288\pi\)
0.974023 0.226450i \(-0.0727121\pi\)
\(74\) 2.80998 + 26.7352i 0.326653 + 3.10790i
\(75\) 0.275247 2.61880i 0.0317828 0.302393i
\(76\) −10.8638 + 12.0655i −1.24616 + 1.38400i
\(77\) 0.894537 + 0.649919i 0.101942 + 0.0740651i
\(78\) −5.94134 + 2.25111i −0.672724 + 0.254888i
\(79\) 4.97581 + 15.3140i 0.559823 + 1.72296i 0.682854 + 0.730554i \(0.260738\pi\)
−0.123032 + 0.992403i \(0.539262\pi\)
\(80\) 0.106496 1.01324i 0.0119066 0.113284i
\(81\) 3.60168 + 1.60357i 0.400187 + 0.178175i
\(82\) 0.456660 + 0.507172i 0.0504296 + 0.0560078i
\(83\) −1.27928 + 0.929449i −0.140419 + 0.102020i −0.655777 0.754955i \(-0.727659\pi\)
0.515358 + 0.856975i \(0.327659\pi\)
\(84\) −4.37658 0.930270i −0.477524 0.101501i
\(85\) 10.5132 + 2.23464i 1.14031 + 0.242381i
\(86\) −6.55824 + 20.1842i −0.707193 + 2.17652i
\(87\) 3.43653 5.95225i 0.368435 0.638148i
\(88\) 0.794357 + 1.37587i 0.0846787 + 0.146668i
\(89\) −2.91894 + 0.620439i −0.309407 + 0.0657664i −0.359998 0.932953i \(-0.617223\pi\)
0.0505916 + 0.998719i \(0.483889\pi\)
\(90\) −12.7609 9.27136i −1.34512 0.977287i
\(91\) −0.316161 6.57930i −0.0331427 0.689698i
\(92\) −20.0032 −2.08547
\(93\) −2.98156 3.12726i −0.309174 0.324282i
\(94\) 3.48092 + 6.02913i 0.359029 + 0.621857i
\(95\) 1.55787 + 14.8221i 0.159834 + 1.52072i
\(96\) 3.79734 + 2.75893i 0.387564 + 0.281582i
\(97\) −11.1056 12.3340i −1.12760 1.25233i −0.964028 0.265801i \(-0.914364\pi\)
−0.163577 0.986531i \(-0.552303\pi\)
\(98\) −4.15822 + 7.20225i −0.420044 + 0.727538i
\(99\) −1.45123 −0.145855
\(100\) 7.16557 + 7.95818i 0.716557 + 0.795818i
\(101\) −6.83338 + 7.58924i −0.679947 + 0.755158i −0.980050 0.198749i \(-0.936312\pi\)
0.300103 + 0.953907i \(0.402979\pi\)
\(102\) −4.37440 + 4.85826i −0.433130 + 0.481040i
\(103\) 10.7734 7.82737i 1.06154 0.771253i 0.0871667 0.996194i \(-0.472219\pi\)
0.974373 + 0.224940i \(0.0722187\pi\)
\(104\) 3.43002 8.82081i 0.336341 0.864951i
\(105\) −3.32287 + 2.41421i −0.324279 + 0.235603i
\(106\) −0.278976 + 2.65428i −0.0270965 + 0.257806i
\(107\) 0.167756 0.186312i 0.0162176 0.0180114i −0.734981 0.678087i \(-0.762809\pi\)
0.751199 + 0.660076i \(0.229476\pi\)
\(108\) 12.0772 5.37711i 1.16213 0.517412i
\(109\) −4.34601 3.15756i −0.416272 0.302439i 0.359864 0.933005i \(-0.382823\pi\)
−0.776136 + 0.630566i \(0.782823\pi\)
\(110\) 3.89453 + 0.827808i 0.371329 + 0.0789284i
\(111\) −8.39319 + 3.73689i −0.796646 + 0.354690i
\(112\) −0.519760 + 0.377628i −0.0491127 + 0.0356825i
\(113\) 10.9662 + 12.1792i 1.03161 + 1.14572i 0.989192 + 0.146624i \(0.0468406\pi\)
0.0424217 + 0.999100i \(0.486493\pi\)
\(114\) −8.28143 3.68713i −0.775627 0.345331i
\(115\) −12.2867 + 13.6458i −1.14574 + 1.27247i
\(116\) 8.63743 + 26.5833i 0.801965 + 2.46819i
\(117\) 5.41140 + 6.74218i 0.500284 + 0.623315i
\(118\) 18.9743 1.74673
\(119\) −3.38879 5.86956i −0.310650 0.538061i
\(120\) −5.77252 + 1.22699i −0.526957 + 0.112008i
\(121\) −9.71435 + 4.32511i −0.883123 + 0.393191i
\(122\) 1.19903 0.871144i 0.108555 0.0788697i
\(123\) −0.116622 + 0.201995i −0.0105154 + 0.0182133i
\(124\) 17.5647 0.500977i 1.57736 0.0449891i
\(125\) −4.65519 −0.416373
\(126\) 1.03969 + 9.89202i 0.0926232 + 0.881251i
\(127\) 0.167379 1.59250i 0.0148525 0.141312i −0.984583 0.174920i \(-0.944033\pi\)
0.999435 + 0.0336084i \(0.0106999\pi\)
\(128\) −17.1093 + 3.63669i −1.51226 + 0.321441i
\(129\) −7.25327 −0.638615
\(130\) −10.6762 21.1801i −0.936363 1.85761i
\(131\) 2.42031 7.44894i 0.211463 0.650817i −0.787923 0.615774i \(-0.788843\pi\)
0.999386 0.0350425i \(-0.0111567\pi\)
\(132\) −0.991892 + 1.10161i −0.0863331 + 0.0958827i
\(133\) 6.28859 6.98419i 0.545290 0.605606i
\(134\) −1.49802 14.2527i −0.129409 1.23125i
\(135\) 3.75010 11.5416i 0.322758 0.993346i
\(136\) −1.01792 9.68487i −0.0872860 0.830471i
\(137\) −7.58216 + 3.37579i −0.647787 + 0.288413i −0.704208 0.709994i \(-0.748698\pi\)
0.0564209 + 0.998407i \(0.482031\pi\)
\(138\) −3.45132 10.6221i −0.293796 0.904211i
\(139\) −3.64111 + 1.62113i −0.308835 + 0.137502i −0.555301 0.831649i \(-0.687397\pi\)
0.246467 + 0.969151i \(0.420730\pi\)
\(140\) 1.74599 16.6120i 0.147563 1.40397i
\(141\) −1.59207 + 1.76818i −0.134077 + 0.148907i
\(142\) 2.84015 + 2.06349i 0.238340 + 0.173164i
\(143\) −1.94007 0.999153i −0.162237 0.0835534i
\(144\) 0.260570 0.801953i 0.0217142 0.0668294i
\(145\) 23.4400 + 10.4362i 1.94659 + 0.866677i
\(146\) −13.4063 + 14.8892i −1.10951 + 1.23224i
\(147\) −2.78017 0.590943i −0.229304 0.0487401i
\(148\) 11.5460 35.5349i 0.949074 2.92095i
\(149\) 8.66804 15.0135i 0.710114 1.22995i −0.254700 0.967020i \(-0.581977\pi\)
0.964814 0.262933i \(-0.0846898\pi\)
\(150\) −2.98961 + 5.17816i −0.244101 + 0.422795i
\(151\) −2.02106 + 6.22020i −0.164472 + 0.506192i −0.998997 0.0447775i \(-0.985742\pi\)
0.834525 + 0.550970i \(0.185742\pi\)
\(152\) 12.3361 5.49238i 1.00059 0.445491i
\(153\) 8.12647 + 3.61814i 0.656986 + 0.292509i
\(154\) −1.25536 2.17434i −0.101159 0.175213i
\(155\) 10.4472 12.2900i 0.839136 0.987158i
\(156\) 8.81647 + 0.500454i 0.705883 + 0.0400684i
\(157\) −12.2997 + 8.93623i −0.981620 + 0.713189i −0.958070 0.286534i \(-0.907497\pi\)
−0.0235499 + 0.999723i \(0.507497\pi\)
\(158\) 3.82184 36.3624i 0.304049 2.89284i
\(159\) −0.892205 + 0.189644i −0.0707565 + 0.0150398i
\(160\) −8.76131 + 15.1750i −0.692642 + 1.19969i
\(161\) 11.5790 0.912551
\(162\) −5.99021 6.65280i −0.470636 0.522694i
\(163\) −14.8209 3.15027i −1.16086 0.246748i −0.413079 0.910695i \(-0.635547\pi\)
−0.747780 + 0.663947i \(0.768880\pi\)
\(164\) −0.293119 0.902129i −0.0228888 0.0704444i
\(165\) 0.142237 + 1.35330i 0.0110732 + 0.105354i
\(166\) 3.51211 0.746522i 0.272592 0.0579413i
\(167\) 10.0358 + 4.46822i 0.776593 + 0.345761i 0.756463 0.654036i \(-0.226926\pi\)
0.0201294 + 0.999797i \(0.493592\pi\)
\(168\) 3.01068 + 2.18739i 0.232279 + 0.168761i
\(169\) 2.59231 + 12.7389i 0.199408 + 0.979917i
\(170\) −19.7443 14.3451i −1.51432 1.10022i
\(171\) −1.28936 + 12.2674i −0.0985998 + 0.938114i
\(172\) 19.7377 21.9209i 1.50498 1.67146i
\(173\) −15.9098 + 7.08348i −1.20960 + 0.538547i −0.909637 0.415404i \(-0.863640\pi\)
−0.299960 + 0.953952i \(0.596973\pi\)
\(174\) −12.6260 + 9.17329i −0.957171 + 0.695426i
\(175\) −4.14785 4.60665i −0.313548 0.348230i
\(176\) 0.0222486 + 0.211682i 0.00167705 + 0.0159561i
\(177\) 2.00391 + 6.16739i 0.150623 + 0.463570i
\(178\) 6.62797 + 1.40882i 0.496788 + 0.105595i
\(179\) 12.2140 2.59617i 0.912918 0.194047i 0.272574 0.962135i \(-0.412125\pi\)
0.640344 + 0.768088i \(0.278792\pi\)
\(180\) 10.9616 + 18.9861i 0.817031 + 1.41514i
\(181\) −5.30098 −0.394019 −0.197010 0.980402i \(-0.563123\pi\)
−0.197010 + 0.980402i \(0.563123\pi\)
\(182\) −5.42060 + 13.9399i −0.401802 + 1.03329i
\(183\) 0.409786 + 0.297727i 0.0302923 + 0.0220086i
\(184\) 15.1987 + 6.76688i 1.12046 + 0.498861i
\(185\) −17.1492 29.7033i −1.26084 2.18383i
\(186\) 3.29662 + 9.24078i 0.241720 + 0.677567i
\(187\) −2.24542 −0.164201
\(188\) −1.01144 9.62318i −0.0737666 0.701842i
\(189\) −6.99097 + 3.11258i −0.508518 + 0.226407i
\(190\) 10.4577 32.1854i 0.758680 2.33498i
\(191\) −4.09362 + 7.09036i −0.296204 + 0.513041i −0.975264 0.221042i \(-0.929054\pi\)
0.679060 + 0.734083i \(0.262388\pi\)
\(192\) −5.05611 8.75745i −0.364894 0.632014i
\(193\) −2.53505 + 0.538842i −0.182477 + 0.0387867i −0.298244 0.954490i \(-0.596401\pi\)
0.115767 + 0.993276i \(0.463067\pi\)
\(194\) 11.6458 + 35.8422i 0.836122 + 2.57332i
\(195\) 5.75681 5.70703i 0.412254 0.408689i
\(196\) 9.35138 6.79418i 0.667956 0.485298i
\(197\) 2.46383 0.523704i 0.175541 0.0373124i −0.119303 0.992858i \(-0.538066\pi\)
0.294843 + 0.955546i \(0.404733\pi\)
\(198\) 3.01040 + 1.34032i 0.213940 + 0.0952521i
\(199\) −0.162554 + 0.0723737i −0.0115231 + 0.00513043i −0.412490 0.910962i \(-0.635341\pi\)
0.400967 + 0.916093i \(0.368674\pi\)
\(200\) −2.75232 8.47078i −0.194619 0.598974i
\(201\) 4.47447 1.99216i 0.315605 0.140516i
\(202\) 21.1842 9.43180i 1.49051 0.663619i
\(203\) −4.99984 15.3879i −0.350920 1.08002i
\(204\) 8.30076 3.69574i 0.581170 0.258753i
\(205\) −0.795460 0.354161i −0.0555573 0.0247357i
\(206\) −29.5772 + 6.28684i −2.06074 + 0.438025i
\(207\) −12.2949 + 8.93277i −0.854555 + 0.620870i
\(208\) 0.900475 0.892687i 0.0624367 0.0618967i
\(209\) −0.962162 2.96123i −0.0665541 0.204833i
\(210\) 9.12256 1.93906i 0.629517 0.133808i
\(211\) −0.680983 1.17950i −0.0468808 0.0811999i 0.841633 0.540050i \(-0.181595\pi\)
−0.888514 + 0.458850i \(0.848261\pi\)
\(212\) 1.85474 3.21250i 0.127384 0.220635i
\(213\) −0.370761 + 1.14109i −0.0254042 + 0.0781860i
\(214\) −0.520059 + 0.231545i −0.0355505 + 0.0158281i
\(215\) −2.83039 26.9293i −0.193031 1.83657i
\(216\) −10.9954 −0.748144
\(217\) −10.1675 + 0.289994i −0.690213 + 0.0196861i
\(218\) 6.09900 + 10.5638i 0.413077 + 0.715470i
\(219\) −6.25542 2.78509i −0.422702 0.188199i
\(220\) −4.47702 3.25274i −0.301840 0.219300i
\(221\) 8.37279 + 10.4318i 0.563215 + 0.701721i
\(222\) 20.8619 1.40016
\(223\) 7.89554 + 13.6755i 0.528724 + 0.915777i 0.999439 + 0.0334918i \(0.0106628\pi\)
−0.470715 + 0.882285i \(0.656004\pi\)
\(224\) 10.8081 2.29733i 0.722147 0.153497i
\(225\) 7.95817 + 1.69156i 0.530545 + 0.112771i
\(226\) −11.4996 35.3923i −0.764945 2.35426i
\(227\) 2.82045 + 26.8348i 0.187200 + 1.78109i 0.536327 + 0.844010i \(0.319811\pi\)
−0.349127 + 0.937075i \(0.613522\pi\)
\(228\) 8.43076 + 9.36330i 0.558340 + 0.620100i
\(229\) −10.5239 + 7.64603i −0.695436 + 0.505264i −0.878443 0.477848i \(-0.841417\pi\)
0.183006 + 0.983112i \(0.441417\pi\)
\(230\) 38.0900 16.9588i 2.51158 1.11823i
\(231\) 0.574164 0.637674i 0.0377772 0.0419559i
\(232\) 2.43004 23.1203i 0.159540 1.51792i
\(233\) −12.0033 8.72094i −0.786365 0.571328i 0.120517 0.992711i \(-0.461545\pi\)
−0.906883 + 0.421383i \(0.861545\pi\)
\(234\) −4.99838 18.9836i −0.326754 1.24100i
\(235\) −7.18601 5.22094i −0.468763 0.340576i
\(236\) −24.0922 10.7266i −1.56827 0.698239i
\(237\) 12.2228 2.59804i 0.793957 0.168761i
\(238\) 1.60866 + 15.3054i 0.104274 + 0.992103i
\(239\) 1.58133 + 4.86684i 0.102288 + 0.314809i 0.989084 0.147351i \(-0.0470746\pi\)
−0.886797 + 0.462160i \(0.847075\pi\)
\(240\) −0.773373 0.164385i −0.0499210 0.0106110i
\(241\) −0.619367 0.687877i −0.0398970 0.0443101i 0.722866 0.690988i \(-0.242824\pi\)
−0.762763 + 0.646678i \(0.776158\pi\)
\(242\) 24.1457 1.55214
\(243\) 7.81311 13.5327i 0.501211 0.868124i
\(244\) −2.01491 + 0.428283i −0.128992 + 0.0274180i
\(245\) 1.10912 10.5526i 0.0708591 0.674179i
\(246\) 0.428474 0.311305i 0.0273185 0.0198481i
\(247\) −10.1696 + 15.5119i −0.647078 + 0.987002i
\(248\) −13.5154 5.56133i −0.858228 0.353145i
\(249\) 0.613567 + 1.06273i 0.0388832 + 0.0673477i
\(250\) 9.65659 + 4.29939i 0.610736 + 0.271917i
\(251\) 22.6179 10.0701i 1.42763 0.635622i 0.459982 0.887928i \(-0.347856\pi\)
0.967647 + 0.252306i \(0.0811891\pi\)
\(252\) 4.27202 13.1479i 0.269112 0.828242i
\(253\) 1.91807 3.32219i 0.120588 0.208864i
\(254\) −1.81800 + 3.14886i −0.114071 + 0.197577i
\(255\) 2.57748 7.93268i 0.161408 0.496764i
\(256\) 13.3581 + 2.83936i 0.834884 + 0.177460i
\(257\) 2.53629 2.81684i 0.158209 0.175709i −0.658829 0.752293i \(-0.728948\pi\)
0.817038 + 0.576584i \(0.195614\pi\)
\(258\) 15.0460 + 6.69890i 0.936721 + 0.417055i
\(259\) −6.68348 + 20.5696i −0.415291 + 1.27814i
\(260\) 1.58234 + 32.9284i 0.0981325 + 2.04213i
\(261\) 17.1802 + 12.4822i 1.06343 + 0.772626i
\(262\) −11.9002 + 13.2165i −0.735199 + 0.816521i
\(263\) 1.45218 13.8165i 0.0895451 0.851965i −0.853900 0.520437i \(-0.825769\pi\)
0.943445 0.331528i \(-0.107564\pi\)
\(264\) 1.12632 0.501469i 0.0693200 0.0308633i
\(265\) −1.05225 3.23850i −0.0646394 0.198940i
\(266\) −19.4953 + 8.67985i −1.19533 + 0.532196i
\(267\) 0.242069 + 2.30313i 0.0148144 + 0.140950i
\(268\) −6.15525 + 18.9439i −0.375992 + 1.15718i
\(269\) −2.18323 20.7721i −0.133114 1.26650i −0.833415 0.552648i \(-0.813618\pi\)
0.700301 0.713848i \(-0.253049\pi\)
\(270\) −18.4386 + 20.4782i −1.12214 + 1.24626i
\(271\) 2.33202 2.58997i 0.141660 0.157329i −0.668140 0.744036i \(-0.732909\pi\)
0.809800 + 0.586707i \(0.199576\pi\)
\(272\) 0.403167 1.24082i 0.0244456 0.0752359i
\(273\) −5.10348 0.289692i −0.308877 0.0175329i
\(274\) 18.8460 1.13853
\(275\) −2.00881 + 0.426986i −0.121136 + 0.0257483i
\(276\) −1.62262 + 15.4382i −0.0976705 + 0.929273i
\(277\) −0.503784 4.79318i −0.0302694 0.287994i −0.999177 0.0405703i \(-0.987083\pi\)
0.968907 0.247424i \(-0.0795841\pi\)
\(278\) 9.05023 0.542797
\(279\) 10.5724 8.15176i 0.632953 0.488033i
\(280\) −6.94632 + 12.0314i −0.415122 + 0.719012i
\(281\) −15.7167 + 11.4189i −0.937580 + 0.681192i −0.947837 0.318755i \(-0.896735\pi\)
0.0102566 + 0.999947i \(0.496735\pi\)
\(282\) 4.93559 2.19747i 0.293910 0.130857i
\(283\) −5.65171 + 1.20131i −0.335959 + 0.0714103i −0.372802 0.927911i \(-0.621603\pi\)
0.0368433 + 0.999321i \(0.488270\pi\)
\(284\) −2.43969 4.22566i −0.144769 0.250747i
\(285\) 11.5660 0.685108
\(286\) 3.10165 + 3.86441i 0.183404 + 0.228507i
\(287\) 0.169674 + 0.522204i 0.0100156 + 0.0308247i
\(288\) −9.70405 + 10.7774i −0.571817 + 0.635067i
\(289\) −2.95660 1.31636i −0.173918 0.0774331i
\(290\) −38.9848 43.2970i −2.28927 2.54249i
\(291\) −10.4202 + 7.57069i −0.610841 + 0.443802i
\(292\) 25.4395 11.3264i 1.48873 0.662827i
\(293\) 18.3219 + 3.89443i 1.07038 + 0.227515i 0.709218 0.704990i \(-0.249048\pi\)
0.361158 + 0.932505i \(0.382382\pi\)
\(294\) 5.22132 + 3.79351i 0.304514 + 0.221242i
\(295\) −22.1158 + 9.84660i −1.28763 + 0.573291i
\(296\) −20.7939 + 23.0940i −1.20862 + 1.34231i
\(297\) −0.265012 + 2.52142i −0.0153775 + 0.146307i
\(298\) −31.8467 + 23.1380i −1.84483 + 1.34035i
\(299\) −22.5864 + 3.47686i −1.30621 + 0.201072i
\(300\) 6.72330 4.88477i 0.388170 0.282022i
\(301\) −11.4253 + 12.6891i −0.658544 + 0.731387i
\(302\) 9.93722 11.0364i 0.571823 0.635074i
\(303\) 5.30299 + 5.88957i 0.304649 + 0.338347i
\(304\) 1.80913 0.103761
\(305\) −0.945470 + 1.63760i −0.0541374 + 0.0937688i
\(306\) −13.5157 15.0107i −0.772642 0.858106i
\(307\) 4.08667 + 2.96914i 0.233238 + 0.169458i 0.698266 0.715839i \(-0.253955\pi\)
−0.465027 + 0.885296i \(0.653955\pi\)
\(308\) 0.364764 + 3.47050i 0.0207843 + 0.197750i
\(309\) −5.16716 8.94979i −0.293950 0.509135i
\(310\) −33.0220 + 15.8454i −1.87552 + 0.899958i
\(311\) −28.7990 −1.63304 −0.816520 0.577316i \(-0.804100\pi\)
−0.816520 + 0.577316i \(0.804100\pi\)
\(312\) −6.52958 3.36278i −0.369664 0.190380i
\(313\) 2.30252 + 1.67288i 0.130146 + 0.0945567i 0.650954 0.759117i \(-0.274369\pi\)
−0.520808 + 0.853674i \(0.674369\pi\)
\(314\) 33.7673 7.17746i 1.90560 0.405048i
\(315\) −6.34522 10.9902i −0.357513 0.619230i
\(316\) −25.4091 + 44.0098i −1.42937 + 2.47574i
\(317\) −4.55916 + 14.0317i −0.256068 + 0.788096i 0.737549 + 0.675293i \(0.235983\pi\)
−0.993617 + 0.112803i \(0.964017\pi\)
\(318\) 2.02591 + 0.430622i 0.113608 + 0.0241481i
\(319\) −5.24326 1.11449i −0.293566 0.0623995i
\(320\) 30.5409 22.1893i 1.70729 1.24042i
\(321\) −0.130185 0.144586i −0.00726624 0.00806998i
\(322\) −24.0191 10.6940i −1.33853 0.595953i
\(323\) −1.99496 + 18.9808i −0.111003 + 1.05612i
\(324\) 3.84498 + 11.8336i 0.213610 + 0.657424i
\(325\) 9.47422 + 7.74044i 0.525535 + 0.429362i
\(326\) 27.8345 + 20.2229i 1.54161 + 1.12004i
\(327\) −2.78951 + 3.09807i −0.154260 + 0.171324i
\(328\) −0.0824657 + 0.784609i −0.00455341 + 0.0433228i
\(329\) 0.585478 + 5.57045i 0.0322784 + 0.307109i
\(330\) 0.954813 2.93861i 0.0525607 0.161765i
\(331\) −2.08393 19.8272i −0.114543 1.08980i −0.889230 0.457460i \(-0.848759\pi\)
0.774687 0.632344i \(-0.217907\pi\)
\(332\) −4.88144 1.03758i −0.267904 0.0569447i
\(333\) −8.77203 26.9975i −0.480704 1.47946i
\(334\) −16.6912 18.5375i −0.913304 1.01433i
\(335\) 9.14238 + 15.8351i 0.499502 + 0.865162i
\(336\) 0.249288 + 0.431779i 0.0135997 + 0.0235555i
\(337\) −6.63557 + 20.4222i −0.361463 + 1.11247i 0.590704 + 0.806888i \(0.298850\pi\)
−0.952167 + 0.305579i \(0.901150\pi\)
\(338\) 6.38787 28.8194i 0.347454 1.56757i
\(339\) 10.2894 7.47565i 0.558841 0.406022i
\(340\) 16.9604 + 29.3762i 0.919805 + 1.59315i
\(341\) −1.60104 + 2.96524i −0.0867014 + 0.160577i
\(342\) 14.0044 24.2564i 0.757274 1.31164i
\(343\) −15.7589 + 11.4495i −0.850902 + 0.618216i
\(344\) −22.4126 + 9.97874i −1.20841 + 0.538017i
\(345\) 9.53499 + 10.5897i 0.513346 + 0.570129i
\(346\) 39.5449 2.12594
\(347\) −8.20779 + 14.2163i −0.440617 + 0.763172i −0.997735 0.0672617i \(-0.978574\pi\)
0.557118 + 0.830433i \(0.311907\pi\)
\(348\) 21.2174 4.50989i 1.13737 0.241755i
\(349\) 2.28220 2.53464i 0.122163 0.135676i −0.678960 0.734175i \(-0.737569\pi\)
0.801124 + 0.598499i \(0.204236\pi\)
\(350\) 4.34961 + 13.3867i 0.232497 + 0.715551i
\(351\) 12.7022 8.17073i 0.677996 0.436121i
\(352\) 1.13123 3.48157i 0.0602947 0.185568i
\(353\) −12.3911 5.51689i −0.659514 0.293635i 0.0495572 0.998771i \(-0.484219\pi\)
−0.709071 + 0.705137i \(0.750886\pi\)
\(354\) 1.53917 14.6442i 0.0818059 0.778331i
\(355\) −4.38121 0.931255i −0.232531 0.0494259i
\(356\) −7.61929 5.53574i −0.403822 0.293394i
\(357\) −4.80496 + 2.13931i −0.254305 + 0.113224i
\(358\) −27.7341 5.89507i −1.46579 0.311564i
\(359\) −7.09735 5.15653i −0.374584 0.272151i 0.384525 0.923114i \(-0.374365\pi\)
−0.759109 + 0.650963i \(0.774365\pi\)
\(360\) −1.90597 18.1341i −0.100453 0.955751i
\(361\) −7.30163 + 1.55201i −0.384296 + 0.0816847i
\(362\) 10.9962 + 4.89583i 0.577948 + 0.257319i
\(363\) 2.55006 + 7.84829i 0.133844 + 0.411928i
\(364\) 14.7632 14.6355i 0.773801 0.767109i
\(365\) 7.89926 24.3114i 0.413466 1.27252i
\(366\) −0.575077 0.996063i −0.0300598 0.0520651i
\(367\) −15.3444 26.5773i −0.800972 1.38732i −0.918977 0.394312i \(-0.870983\pi\)
0.118005 0.993013i \(-0.462350\pi\)
\(368\) 1.49145 + 1.65643i 0.0777474 + 0.0863472i
\(369\) −0.583027 0.423594i −0.0303512 0.0220514i
\(370\) 8.14077 + 77.4542i 0.423218 + 4.02665i
\(371\) −1.07363 + 1.85958i −0.0557400 + 0.0965445i
\(372\) 1.03817 13.5969i 0.0538267 0.704967i
\(373\) −13.3518 + 23.1260i −0.691329 + 1.19742i 0.280074 + 0.959978i \(0.409641\pi\)
−0.971403 + 0.237438i \(0.923692\pi\)
\(374\) 4.65784 + 2.07380i 0.240851 + 0.107234i
\(375\) −0.377622 + 3.59283i −0.0195003 + 0.185533i
\(376\) −2.48693 + 7.65398i −0.128254 + 0.394724i
\(377\) 14.3735 + 28.5150i 0.740272 + 1.46860i
\(378\) 17.3765 0.893753
\(379\) 19.0005 4.03868i 0.975989 0.207453i 0.307806 0.951449i \(-0.400405\pi\)
0.668184 + 0.743996i \(0.267072\pi\)
\(380\) −31.4734 + 34.9548i −1.61455 + 1.79314i
\(381\) −1.21550 0.258363i −0.0622721 0.0132363i
\(382\) 15.0401 10.9273i 0.769521 0.559089i
\(383\) −10.8192 12.0159i −0.552833 0.613983i 0.400355 0.916360i \(-0.368887\pi\)
−0.953189 + 0.302376i \(0.902220\pi\)
\(384\) 1.41888 + 13.4998i 0.0724070 + 0.688907i
\(385\) 2.59156 + 1.88288i 0.132078 + 0.0959602i
\(386\) 5.75630 + 1.22354i 0.292988 + 0.0622765i
\(387\) 2.34255 22.2879i 0.119079 1.13296i
\(388\) 5.47524 52.0934i 0.277963 2.64464i
\(389\) 2.28442 + 7.03072i 0.115825 + 0.356472i 0.992118 0.125306i \(-0.0399912\pi\)
−0.876293 + 0.481778i \(0.839991\pi\)
\(390\) −17.2126 + 6.52168i −0.871594 + 0.330238i
\(391\) −19.0233 + 13.8212i −0.962049 + 0.698969i
\(392\) −9.40371 + 1.99882i −0.474959 + 0.100956i
\(393\) −5.55269 2.47222i −0.280096 0.124707i
\(394\) −5.59458 1.18917i −0.281851 0.0599093i
\(395\) 14.4154 + 44.3660i 0.725317 + 2.23230i
\(396\) −3.06468 3.40367i −0.154006 0.171041i
\(397\) −2.15124 + 3.72606i −0.107968 + 0.187006i −0.914947 0.403574i \(-0.867768\pi\)
0.806979 + 0.590580i \(0.201101\pi\)
\(398\) 0.404039 0.0202527
\(399\) −4.88021 5.42002i −0.244316 0.271340i
\(400\) 0.124731 1.18674i 0.00623656 0.0593369i
\(401\) 15.9600 + 7.10585i 0.797004 + 0.354849i 0.764501 0.644622i \(-0.222985\pi\)
0.0325033 + 0.999472i \(0.489652\pi\)
\(402\) −11.1216 −0.554696
\(403\) 19.7460 3.61870i 0.983619 0.180260i
\(404\) −32.2301 −1.60351
\(405\) 10.4344 + 4.64570i 0.518490 + 0.230846i
\(406\) −3.84030 + 36.5380i −0.190591 + 1.81335i
\(407\) 4.79463 + 5.32497i 0.237661 + 0.263949i
\(408\) −7.55726 −0.374140
\(409\) 12.7685 22.1156i 0.631360 1.09355i −0.355914 0.934519i \(-0.615830\pi\)
0.987274 0.159029i \(-0.0508364\pi\)
\(410\) 1.32299 + 1.46932i 0.0653376 + 0.0725648i
\(411\) 1.99035 + 6.12567i 0.0981768 + 0.302157i
\(412\) 41.1091 + 8.73801i 2.02530 + 0.430491i
\(413\) 13.9460 + 6.20915i 0.686237 + 0.305532i
\(414\) 33.7542 7.17468i 1.65893 0.352616i
\(415\) −3.70619 + 2.69270i −0.181930 + 0.132180i
\(416\) −20.3929 + 7.72666i −0.999845 + 0.378831i
\(417\) 0.955808 + 2.94167i 0.0468061 + 0.144054i
\(418\) −0.739021 + 7.03131i −0.0361467 + 0.343913i
\(419\) 2.53633 24.1315i 0.123908 1.17890i −0.739058 0.673641i \(-0.764729\pi\)
0.862966 0.505262i \(-0.168604\pi\)
\(420\) −12.6794 2.69508i −0.618689 0.131506i
\(421\) 30.9802 + 22.5084i 1.50988 + 1.09699i 0.966229 + 0.257684i \(0.0829595\pi\)
0.543654 + 0.839310i \(0.317041\pi\)
\(422\) 0.323264 + 3.07565i 0.0157362 + 0.149720i
\(423\) −4.91908 5.46319i −0.239174 0.265629i
\(424\) −2.49601 + 1.81346i −0.121217 + 0.0880693i
\(425\) 12.3133 + 2.61727i 0.597282 + 0.126956i
\(426\) 1.82297 2.02461i 0.0883232 0.0980928i
\(427\) 1.16635 0.247915i 0.0564435 0.0119974i
\(428\) 0.791231 0.0382456
\(429\) −0.928513 + 1.41628i −0.0448290 + 0.0683787i
\(430\) −18.9998 + 58.4755i −0.916254 + 2.81994i
\(431\) 2.94188 27.9901i 0.141705 1.34823i −0.660338 0.750968i \(-0.729587\pi\)
0.802043 0.597266i \(-0.203746\pi\)
\(432\) −1.34575 0.599168i −0.0647476 0.0288275i
\(433\) 9.24718 16.0166i 0.444391 0.769708i −0.553619 0.832770i \(-0.686753\pi\)
0.998010 + 0.0630627i \(0.0200868\pi\)
\(434\) 21.3589 + 8.78881i 1.02526 + 0.421876i
\(435\) 9.95595 17.2442i 0.477351 0.826797i
\(436\) −1.77216 16.8610i −0.0848713 0.807496i
\(437\) −26.3787 19.1652i −1.26186 0.916798i
\(438\) 10.4038 + 11.5546i 0.497115 + 0.552102i
\(439\) −7.41529 12.8437i −0.353912 0.612994i 0.633019 0.774136i \(-0.281816\pi\)
−0.986931 + 0.161142i \(0.948482\pi\)
\(440\) 2.30133 + 3.98601i 0.109711 + 0.190026i
\(441\) 2.71375 8.35206i 0.129226 0.397717i
\(442\) −7.73374 29.3724i −0.367857 1.39710i
\(443\) −9.98174 30.7206i −0.474247 1.45958i −0.846971 0.531639i \(-0.821576\pi\)
0.372725 0.927942i \(-0.378424\pi\)
\(444\) −26.4889 11.7936i −1.25711 0.559700i
\(445\) −8.45643 + 1.79747i −0.400873 + 0.0852082i
\(446\) −3.74803 35.6601i −0.177474 1.68855i
\(447\) −10.8841 7.90778i −0.514802 0.374025i
\(448\) −23.2849 4.94936i −1.10011 0.233835i
\(449\) −2.83542 + 1.26241i −0.133812 + 0.0595769i −0.472550 0.881304i \(-0.656667\pi\)
0.338738 + 0.940881i \(0.390000\pi\)
\(450\) −14.9459 10.8589i −0.704558 0.511891i
\(451\) 0.177935 + 0.0378213i 0.00837864 + 0.00178093i
\(452\) −5.40651 + 51.4395i −0.254301 + 2.41951i
\(453\) 4.63674 + 2.06441i 0.217853 + 0.0969945i
\(454\) 18.9331 58.2701i 0.888575 2.73475i
\(455\) −0.915949 19.0608i −0.0429403 0.893586i
\(456\) −3.23828 9.96641i −0.151647 0.466720i
\(457\) −0.363867 + 0.404115i −0.0170210 + 0.0189037i −0.751595 0.659625i \(-0.770715\pi\)
0.734574 + 0.678528i \(0.237382\pi\)
\(458\) 28.8920 6.14119i 1.35004 0.286959i
\(459\) 7.77024 13.4585i 0.362684 0.628187i
\(460\) −57.9510 −2.70198
\(461\) 2.47244 + 2.74592i 0.115153 + 0.127890i 0.797965 0.602704i \(-0.205910\pi\)
−0.682812 + 0.730594i \(0.739243\pi\)
\(462\) −1.77997 + 0.792492i −0.0828116 + 0.0368701i
\(463\) 21.1976 15.4010i 0.985137 0.715744i 0.0262863 0.999654i \(-0.491632\pi\)
0.958851 + 0.283910i \(0.0916318\pi\)
\(464\) 1.55730 2.69732i 0.0722958 0.125220i
\(465\) −8.63786 9.05996i −0.400571 0.420146i
\(466\) 16.8450 + 29.1764i 0.780330 + 1.35157i
\(467\) 29.3744 21.3417i 1.35928 0.987578i 0.360794 0.932645i \(-0.382506\pi\)
0.998490 0.0549327i \(-0.0174944\pi\)
\(468\) −4.38521 + 26.9297i −0.202706 + 1.24482i
\(469\) 3.56301 10.9658i 0.164525 0.506355i
\(470\) 10.0845 + 17.4669i 0.465165 + 0.805690i
\(471\) 5.89917 + 10.2177i 0.271819 + 0.470805i
\(472\) 14.6769 + 16.3004i 0.675560 + 0.750285i
\(473\) 1.74809 + 5.38006i 0.0803771 + 0.247375i
\(474\) −27.7541 5.89932i −1.27479 0.270965i
\(475\) 1.82462 + 17.3601i 0.0837192 + 0.796535i
\(476\) 6.60988 20.3431i 0.302963 0.932426i
\(477\) −0.294588 2.80282i −0.0134883 0.128332i
\(478\) 1.21459 11.5561i 0.0555543 0.528564i
\(479\) −0.638801 + 0.709460i −0.0291876 + 0.0324161i −0.757562 0.652763i \(-0.773610\pi\)
0.728374 + 0.685179i \(0.240276\pi\)
\(480\) 11.0012 + 7.99287i 0.502136 + 0.364823i
\(481\) 6.86057 42.1309i 0.312815 1.92100i
\(482\) 0.649495 + 1.99894i 0.0295837 + 0.0910493i
\(483\) 0.939269 8.93654i 0.0427382 0.406627i
\(484\) −30.6585 13.6500i −1.39357 0.620456i
\(485\) −32.1740 35.7329i −1.46095 1.62255i
\(486\) −28.7057 + 20.8559i −1.30212 + 0.946043i
\(487\) 17.4338 + 3.70567i 0.790001 + 0.167920i 0.585206 0.810885i \(-0.301014\pi\)
0.204796 + 0.978805i \(0.434347\pi\)
\(488\) 1.67584 + 0.356211i 0.0758618 + 0.0161249i
\(489\) −3.63359 + 11.1830i −0.164317 + 0.505715i
\(490\) −12.0468 + 20.8656i −0.544217 + 0.942612i
\(491\) 18.1949 + 31.5146i 0.821126 + 1.42223i 0.904844 + 0.425743i \(0.139987\pi\)
−0.0837180 + 0.996489i \(0.526679\pi\)
\(492\) −0.720032 + 0.153047i −0.0324615 + 0.00689991i
\(493\) 26.5821 + 19.3130i 1.19720 + 0.869814i
\(494\) 35.4219 22.7852i 1.59371 1.02515i
\(495\) −4.20436 −0.188972
\(496\) −1.35113 1.41715i −0.0606673 0.0636319i
\(497\) 1.41223 + 2.44606i 0.0633472 + 0.109721i
\(498\) −0.291261 2.77117i −0.0130517 0.124179i
\(499\) −28.1761 20.4712i −1.26134 0.916415i −0.262514 0.964928i \(-0.584552\pi\)
−0.998823 + 0.0485135i \(0.984552\pi\)
\(500\) −9.83071 10.9181i −0.439643 0.488273i
\(501\) 4.26262 7.38307i 0.190440 0.329851i
\(502\) −56.2184 −2.50915
\(503\) −4.40918 4.89689i −0.196596 0.218342i 0.636784 0.771042i \(-0.280264\pi\)
−0.833380 + 0.552700i \(0.813597\pi\)
\(504\) −7.69376 + 8.54479i −0.342707 + 0.380615i
\(505\) −19.7970 + 21.9867i −0.880953 + 0.978397i
\(506\) −7.04705 + 5.11998i −0.313280 + 0.227611i
\(507\) 10.0421 0.967355i 0.445983 0.0429618i
\(508\) 4.08847 2.97045i 0.181397 0.131792i
\(509\) −4.09114 + 38.9246i −0.181337 + 1.72530i 0.404212 + 0.914665i \(0.367546\pi\)
−0.585549 + 0.810637i \(0.699121\pi\)
\(510\) −12.6730 + 14.0748i −0.561172 + 0.623244i
\(511\) −14.7258 + 6.55636i −0.651433 + 0.290037i
\(512\) 3.21442 + 2.33541i 0.142058 + 0.103212i
\(513\) 21.0784 + 4.48034i 0.930632 + 0.197812i
\(514\) −7.86275 + 3.50072i −0.346811 + 0.154410i
\(515\) 31.2117 22.6766i 1.37535 0.999251i
\(516\) −15.3173 17.0116i −0.674305 0.748892i
\(517\) 1.69523 + 0.754766i 0.0745563 + 0.0331946i
\(518\) 32.8615 36.4964i 1.44385 1.60356i
\(519\) 4.17639 + 12.8536i 0.183323 + 0.564211i
\(520\) 9.93708 25.5547i 0.435770 1.12065i
\(521\) −34.3905 −1.50668 −0.753338 0.657634i \(-0.771557\pi\)
−0.753338 + 0.657634i \(0.771557\pi\)
\(522\) −24.1100 41.7598i −1.05527 1.82777i
\(523\) 19.7441 4.19674i 0.863349 0.183510i 0.245105 0.969497i \(-0.421178\pi\)
0.618244 + 0.785986i \(0.287844\pi\)
\(524\) 22.5816 10.0540i 0.986482 0.439210i
\(525\) −3.89184 + 2.82758i −0.169854 + 0.123406i
\(526\) −15.7729 + 27.3195i −0.687731 + 1.19118i
\(527\) 16.3581 12.6128i 0.712572 0.549423i
\(528\) 0.165179 0.00718848
\(529\) −1.79496 17.0779i −0.0780419 0.742519i
\(530\) −0.808219 + 7.68969i −0.0351068 + 0.334019i
\(531\) −19.5984 + 4.16576i −0.850497 + 0.180779i
\(532\) 29.6606 1.28595
\(533\) −0.487778 0.967685i −0.0211280 0.0419151i
\(534\) 1.62496 5.00113i 0.0703191 0.216420i
\(535\) 0.486004 0.539762i 0.0210118 0.0233360i
\(536\) 11.0854 12.3116i 0.478816 0.531779i
\(537\) −1.01292 9.63725i −0.0437105 0.415878i
\(538\) −14.6556 + 45.1054i −0.631849 + 1.94463i
\(539\) 0.231712 + 2.20459i 0.00998053 + 0.0949584i
\(540\) 34.9887 15.5780i 1.50567 0.670369i
\(541\) −0.165140 0.508250i −0.00709994 0.0218514i 0.947444 0.319922i \(-0.103657\pi\)
−0.954544 + 0.298071i \(0.903657\pi\)
\(542\) −7.22949 + 3.21878i −0.310533 + 0.138258i
\(543\) −0.430007 + 4.09125i −0.0184534 + 0.175572i
\(544\) −15.0146 + 16.6754i −0.643745 + 0.714951i
\(545\) −12.5908 9.14774i −0.539330 0.391846i
\(546\) 10.3190 + 5.31435i 0.441611 + 0.227433i
\(547\) −3.85447 + 11.8628i −0.164805 + 0.507218i −0.999022 0.0442184i \(-0.985920\pi\)
0.834217 + 0.551437i \(0.185920\pi\)
\(548\) −23.9293 10.6540i −1.02221 0.455116i
\(549\) −1.04720 + 1.16304i −0.0446936 + 0.0496373i
\(550\) 4.56138 + 0.969551i 0.194498 + 0.0413418i
\(551\) −14.0793 + 43.3317i −0.599799 + 1.84599i
\(552\) 6.45551 11.1813i 0.274765 0.475906i
\(553\) 14.7082 25.4754i 0.625457 1.08332i
\(554\) −3.38180 + 10.4081i −0.143679 + 0.442199i
\(555\) −24.3159 + 10.8261i −1.03215 + 0.459543i
\(556\) −11.4913 5.11627i −0.487341 0.216978i
\(557\) 7.95239 + 13.7740i 0.336954 + 0.583621i 0.983858 0.178950i \(-0.0572701\pi\)
−0.646904 + 0.762571i \(0.723937\pi\)
\(558\) −29.4598 + 7.14544i −1.24713 + 0.302491i
\(559\) 18.4765 28.1826i 0.781473 1.19200i
\(560\) −1.50579 + 1.09402i −0.0636314 + 0.0462309i
\(561\) −0.182145 + 1.73299i −0.00769017 + 0.0731671i
\(562\) 43.1484 9.17148i 1.82011 0.386875i
\(563\) −5.08705 + 8.81103i −0.214394 + 0.371340i −0.953085 0.302703i \(-0.902111\pi\)
0.738691 + 0.674044i \(0.235444\pi\)
\(564\) −7.50912 −0.316191
\(565\) 31.7701 + 35.2843i 1.33658 + 1.48442i
\(566\) 12.8332 + 2.72779i 0.539421 + 0.114658i
\(567\) −2.22570 6.84999i −0.0934704 0.287672i
\(568\) 0.424205 + 4.03604i 0.0177992 + 0.169348i
\(569\) 13.1653 2.79837i 0.551918 0.117314i 0.0764930 0.997070i \(-0.475628\pi\)
0.475425 + 0.879756i \(0.342294\pi\)
\(570\) −23.9921 10.6820i −1.00492 0.447418i
\(571\) −30.3595 22.0575i −1.27051 0.923076i −0.271283 0.962500i \(-0.587448\pi\)
−0.999223 + 0.0394237i \(0.987448\pi\)
\(572\) −1.75362 6.66017i −0.0733226 0.278476i
\(573\) 5.14021 + 3.73458i 0.214735 + 0.156014i
\(574\) 0.130324 1.23995i 0.00543963 0.0517546i
\(575\) −14.3905 + 15.9823i −0.600125 + 0.666507i
\(576\) 28.5429 12.7081i 1.18929 0.529504i
\(577\) −4.50093 + 3.27012i −0.187376 + 0.136137i −0.677519 0.735506i \(-0.736945\pi\)
0.490143 + 0.871642i \(0.336945\pi\)
\(578\) 4.91733 + 5.46125i 0.204534 + 0.227158i
\(579\) 0.210234 + 2.00024i 0.00873701 + 0.0831271i
\(580\) 25.0234 + 77.0142i 1.03904 + 3.19784i
\(581\) 2.82566 + 0.600613i 0.117228 + 0.0249176i
\(582\) 28.6073 6.08068i 1.18581 0.252052i
\(583\) 0.355695 + 0.616081i 0.0147314 + 0.0255155i
\(584\) −23.1609 −0.958404
\(585\) 15.6773 + 19.5327i 0.648178 + 0.807579i
\(586\) −34.4096 25.0000i −1.42145 1.03274i
\(587\) −7.63647 3.39998i −0.315191 0.140332i 0.243043 0.970015i \(-0.421854\pi\)
−0.558234 + 0.829683i \(0.688521\pi\)
\(588\) −4.48511 7.76844i −0.184963 0.320365i
\(589\) 23.6430 + 16.1683i 0.974195 + 0.666203i
\(590\) 54.9704 2.26310
\(591\) −0.204327 1.94404i −0.00840490 0.0799673i
\(592\) −3.80346 + 1.69341i −0.156321 + 0.0695988i
\(593\) −11.1643 + 34.3601i −0.458462 + 1.41100i 0.408561 + 0.912731i \(0.366031\pi\)
−0.867023 + 0.498269i \(0.833969\pi\)
\(594\) 2.87844 4.98560i 0.118104 0.204562i
\(595\) −9.81764 17.0047i −0.402484 0.697123i
\(596\) 53.5170 11.3754i 2.19214 0.465955i
\(597\) 0.0426712 + 0.131328i 0.00174641 + 0.00537491i
\(598\) 50.0638 + 13.6479i 2.04726 + 0.558102i
\(599\) −17.6843 + 12.8484i −0.722561 + 0.524971i −0.887201 0.461383i \(-0.847354\pi\)
0.164641 + 0.986354i \(0.447354\pi\)
\(600\) −6.76093 + 1.43708i −0.276014 + 0.0586685i
\(601\) 20.5222 + 9.13709i 0.837120 + 0.372710i 0.780093 0.625663i \(-0.215172\pi\)
0.0570261 + 0.998373i \(0.481838\pi\)
\(602\) 35.4196 15.7698i 1.44360 0.642730i
\(603\) 4.67643 + 14.3926i 0.190439 + 0.586111i
\(604\) −18.8567 + 8.39552i −0.767266 + 0.341609i
\(605\) −28.1434 + 12.5302i −1.14419 + 0.509427i
\(606\) −5.56095 17.1148i −0.225898 0.695242i
\(607\) −0.362597 + 0.161439i −0.0147174 + 0.00655259i −0.414082 0.910240i \(-0.635897\pi\)
0.399365 + 0.916792i \(0.369231\pi\)
\(608\) −28.4250 12.6556i −1.15279 0.513253i
\(609\) −12.2818 + 2.61058i −0.497685 + 0.105786i
\(610\) 3.47369 2.52379i 0.140646 0.102185i
\(611\) −2.81472 10.6901i −0.113871 0.432477i
\(612\) 8.67543 + 26.7002i 0.350683 + 1.07929i
\(613\) −39.3701 + 8.36837i −1.59014 + 0.337995i −0.916179 0.400769i \(-0.868743\pi\)
−0.673964 + 0.738765i \(0.735410\pi\)
\(614\) −5.73506 9.93342i −0.231448 0.400880i
\(615\) −0.337865 + 0.585199i −0.0136240 + 0.0235975i
\(616\) 0.896884 2.76033i 0.0361365 0.111217i
\(617\) 22.9247 10.2067i 0.922915 0.410908i 0.110426 0.993884i \(-0.464779\pi\)
0.812489 + 0.582976i \(0.198112\pi\)
\(618\) 2.45286 + 23.3374i 0.0986685 + 0.938768i
\(619\) 26.7660 1.07582 0.537908 0.843004i \(-0.319215\pi\)
0.537908 + 0.843004i \(0.319215\pi\)
\(620\) 50.8866 1.45138i 2.04366 0.0582887i
\(621\) 13.2749 + 22.9927i 0.532702 + 0.922667i
\(622\) 59.7398 + 26.5979i 2.39535 + 1.06648i
\(623\) 4.41048 + 3.20440i 0.176702 + 0.128382i
\(624\) −0.615922 0.767391i −0.0246566 0.0307202i
\(625\) −30.4523 −1.21809
\(626\) −3.23126 5.59671i −0.129147 0.223689i
\(627\) −2.36350 + 0.502377i −0.0943890 + 0.0200630i
\(628\) −46.9328 9.97588i −1.87282 0.398081i
\(629\) −13.5725 41.7719i −0.541172 1.66556i
\(630\) 3.01209 + 28.6581i 0.120004 + 1.14177i
\(631\) 17.7602 + 19.7247i 0.707022 + 0.785227i 0.984477 0.175511i \(-0.0561579\pi\)
−0.277456 + 0.960738i \(0.589491\pi\)
\(632\) 34.1942 24.8436i 1.36017 0.988224i
\(633\) −0.965565 + 0.429897i −0.0383778 + 0.0170869i
\(634\) 22.4166 24.8962i 0.890277 0.988753i
\(635\) 0.484913 4.61364i 0.0192432 0.183087i
\(636\) −2.32892 1.69206i −0.0923477 0.0670946i
\(637\) 9.37812 9.29702i 0.371575 0.368361i
\(638\) 9.84717 + 7.15438i 0.389853 + 0.283245i
\(639\) −3.38659 1.50781i −0.133972 0.0596480i
\(640\) −49.5671 + 10.5358i −1.95931 + 0.416465i
\(641\) −3.80301 36.1832i −0.150210 1.42915i −0.766810 0.641874i \(-0.778157\pi\)
0.616600 0.787277i \(-0.288510\pi\)
\(642\) 0.136518 + 0.420159i 0.00538794 + 0.0165824i
\(643\) 10.2113 + 2.17047i 0.402693 + 0.0855951i 0.404806 0.914403i \(-0.367339\pi\)
−0.00211259 + 0.999998i \(0.500672\pi\)
\(644\) 24.4522 + 27.1569i 0.963552 + 1.07013i
\(645\) −21.0134 −0.827402
\(646\) 21.6684 37.5307i 0.852531 1.47663i
\(647\) −22.2028 + 4.71934i −0.872880 + 0.185536i −0.622508 0.782613i \(-0.713886\pi\)
−0.250372 + 0.968150i \(0.580553\pi\)
\(648\) 1.08174 10.2921i 0.0424948 0.404311i
\(649\) 4.09166 2.97277i 0.160612 0.116691i
\(650\) −12.5042 24.8067i −0.490456 0.972997i
\(651\) −0.600954 + 7.87068i −0.0235532 + 0.308476i
\(652\) −23.9098 41.4129i −0.936379 1.62186i
\(653\) 21.1139 + 9.40050i 0.826249 + 0.367870i 0.775895 0.630862i \(-0.217298\pi\)
0.0503538 + 0.998731i \(0.483965\pi\)
\(654\) 8.64777 3.85023i 0.338155 0.150556i
\(655\) 7.01186 21.5803i 0.273976 0.843211i
\(656\) −0.0528485 + 0.0915362i −0.00206339 + 0.00357389i
\(657\) 10.5783 18.3222i 0.412700 0.714817i
\(658\) 3.93020 12.0959i 0.153215 0.471548i
\(659\) −45.8219 9.73974i −1.78497 0.379407i −0.807396 0.590010i \(-0.799124\pi\)
−0.977572 + 0.210603i \(0.932457\pi\)
\(660\) −2.87360 + 3.19146i −0.111855 + 0.124227i
\(661\) −2.67540 1.19116i −0.104061 0.0463309i 0.354046 0.935228i \(-0.384806\pi\)
−0.458107 + 0.888897i \(0.651472\pi\)
\(662\) −13.9890 + 43.0537i −0.543698 + 1.67333i
\(663\) 8.73038 5.61582i 0.339060 0.218100i
\(664\) 3.35798 + 2.43972i 0.130315 + 0.0946794i
\(665\) 18.2186 20.2338i 0.706488 0.784635i
\(666\) −6.73765 + 64.1045i −0.261079 + 2.48400i
\(667\) −51.2811 + 22.8318i −1.98561 + 0.884051i
\(668\) 10.7137 + 32.9735i 0.414527 + 1.27578i
\(669\) 11.1951 4.98437i 0.432826 0.192707i
\(670\) −4.33990 41.2914i −0.167665 1.59523i
\(671\) 0.122076 0.375710i 0.00471268 0.0145041i
\(672\) −0.896323 8.52794i −0.0345764 0.328973i
\(673\) 19.7122 21.8926i 0.759848 0.843897i −0.231814 0.972760i \(-0.574466\pi\)
0.991662 + 0.128863i \(0.0411328\pi\)
\(674\) 32.6260 36.2348i 1.25671 1.39571i
\(675\) 4.39222 13.5179i 0.169057 0.520303i
\(676\) −24.4030 + 32.9816i −0.938578 + 1.26852i
\(677\) −25.4385 −0.977680 −0.488840 0.872374i \(-0.662580\pi\)
−0.488840 + 0.872374i \(0.662580\pi\)
\(678\) −28.2482 + 6.00435i −1.08487 + 0.230596i
\(679\) −3.16938 + 30.1547i −0.121630 + 1.15723i
\(680\) −2.94901 28.0580i −0.113089 1.07597i
\(681\) 20.9396 0.802407
\(682\) 6.05977 4.67234i 0.232041 0.178913i
\(683\) −11.7002 + 20.2653i −0.447694 + 0.775429i −0.998236 0.0593792i \(-0.981088\pi\)
0.550542 + 0.834808i \(0.314421\pi\)
\(684\) −31.4944 + 22.8821i −1.20422 + 0.874917i
\(685\) −21.9662 + 9.77999i −0.839286 + 0.373674i
\(686\) 43.2643 9.19611i 1.65184 0.351109i
\(687\) 5.04746 + 8.74245i 0.192572 + 0.333545i
\(688\) −3.28689 −0.125312
\(689\) 1.53588 3.94976i 0.0585125 0.150474i
\(690\) −9.99880 30.7731i −0.380648 1.17151i
\(691\) −16.2422 + 18.0388i −0.617884 + 0.686230i −0.968136 0.250426i \(-0.919429\pi\)
0.350252 + 0.936656i \(0.386096\pi\)
\(692\) −50.2112 22.3555i −1.90874 0.849827i
\(693\) 1.77401 + 1.97024i 0.0673892 + 0.0748433i
\(694\) 30.1558 21.9094i 1.14470 0.831671i
\(695\) −10.5486 + 4.69655i −0.400132 + 0.178150i
\(696\) −17.6469 3.75096i −0.668904 0.142180i
\(697\) −0.902088 0.655406i −0.0341690 0.0248253i
\(698\) −7.07503 + 3.15001i −0.267794 + 0.119230i
\(699\) −7.70443 + 8.55664i −0.291408 + 0.323642i
\(700\) 2.04495 19.4564i 0.0772919 0.735384i
\(701\) −13.1997 + 9.59017i −0.498547 + 0.362216i −0.808462 0.588549i \(-0.799699\pi\)
0.309915 + 0.950764i \(0.399699\pi\)
\(702\) −33.8954 + 5.21771i −1.27930 + 0.196930i
\(703\) 49.2724 35.7985i 1.85834 1.35017i
\(704\) −5.27721 + 5.86094i −0.198892 + 0.220892i
\(705\) −4.61239 + 5.12257i −0.173713 + 0.192927i
\(706\) 20.6086 + 22.8882i 0.775615 + 0.861408i
\(707\) 18.6566 0.701655
\(708\) −10.2330 + 17.7240i −0.384579 + 0.666110i
\(709\) 22.9512 + 25.4898i 0.861949 + 0.957291i 0.999448 0.0332107i \(-0.0105732\pi\)
−0.137500 + 0.990502i \(0.543907\pi\)
\(710\) 8.22818 + 5.97812i 0.308798 + 0.224355i
\(711\) 4.03573 + 38.3974i 0.151352 + 1.44001i
\(712\) 3.91655 + 6.78366i 0.146779 + 0.254229i
\(713\) 4.68783 + 34.9765i 0.175560 + 1.30988i
\(714\) 11.9431 0.446958
\(715\) −5.62058 2.89464i −0.210198 0.108253i
\(716\) 31.8822 + 23.1638i 1.19149 + 0.865671i
\(717\) 3.88445 0.825666i 0.145068 0.0308351i
\(718\) 9.96013 + 17.2514i 0.371709 + 0.643818i
\(719\) −19.5422 + 33.8482i −0.728803 + 1.26232i 0.228587 + 0.973523i \(0.426589\pi\)
−0.957390 + 0.288800i \(0.906744\pi\)
\(720\) 0.754897 2.32333i 0.0281333 0.0865855i
\(721\) −23.7963 5.05807i −0.886222 0.188372i
\(722\) 16.5797 + 3.52412i 0.617032 + 0.131154i
\(723\) −0.581139 + 0.422222i −0.0216128 + 0.0157026i
\(724\) −11.1945 12.4327i −0.416040 0.462059i
\(725\) 27.4536 + 12.2231i 1.01960 + 0.453955i
\(726\) 1.95866 18.6354i 0.0726927 0.691625i
\(727\) 1.93447 + 5.95370i 0.0717457 + 0.220810i 0.980499 0.196523i \(-0.0629649\pi\)
−0.908754 + 0.417333i \(0.862965\pi\)
\(728\) −16.1683 + 6.12601i −0.599238 + 0.227045i
\(729\) −0.241904 0.175754i −0.00895942 0.00650940i
\(730\) −38.8393 + 43.1354i −1.43751 + 1.59651i
\(731\) 3.62451 34.4849i 0.134057 1.27547i
\(732\) 0.167098 + 1.58983i 0.00617612 + 0.0587619i
\(733\) −2.84318 + 8.75040i −0.105015 + 0.323203i −0.989734 0.142922i \(-0.954350\pi\)
0.884719 + 0.466125i \(0.154350\pi\)
\(734\) 7.28403 + 69.3029i 0.268858 + 2.55802i
\(735\) −8.05440 1.71202i −0.297091 0.0631487i
\(736\) −11.8462 36.4590i −0.436658 1.34390i
\(737\) −2.55605 2.83878i −0.0941533 0.104568i
\(738\) 0.818196 + 1.41716i 0.0301182 + 0.0521663i
\(739\) −8.21292 14.2252i −0.302117 0.523282i 0.674498 0.738277i \(-0.264360\pi\)
−0.976615 + 0.214994i \(0.931027\pi\)
\(740\) 33.4498 102.948i 1.22964 3.78444i
\(741\) 11.1470 + 9.10712i 0.409496 + 0.334558i
\(742\) 3.94456 2.86589i 0.144809 0.105210i
\(743\) −8.46139 14.6556i −0.310418 0.537660i 0.668035 0.744130i \(-0.267136\pi\)
−0.978453 + 0.206470i \(0.933802\pi\)
\(744\) −5.38853 + 9.97991i −0.197553 + 0.365881i
\(745\) 25.1121 43.4955i 0.920037 1.59355i
\(746\) 49.0550 35.6405i 1.79603 1.30489i
\(747\) −3.46372 + 1.54215i −0.126731 + 0.0564242i
\(748\) −4.74183 5.26633i −0.173378 0.192556i
\(749\) −0.458010 −0.0167353
\(750\) 4.10156 7.10410i 0.149768 0.259405i
\(751\) −40.0045 + 8.50322i −1.45979 + 0.310287i −0.868304 0.496032i \(-0.834790\pi\)
−0.591481 + 0.806319i \(0.701457\pi\)
\(752\) −0.721465 + 0.801268i −0.0263091 + 0.0292192i
\(753\) −5.93731 18.2732i −0.216368 0.665911i
\(754\) −3.48034 72.4257i −0.126747 2.63759i
\(755\) −5.85521 + 18.0205i −0.213093 + 0.655833i
\(756\)