Properties

Label 576.2.bm.a.133.80
Level $576$
Weight $2$
Character 576.133
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 133.80
Character \(\chi\) \(=\) 576.133
Dual form 576.2.bm.a.13.80

$q$-expansion

\(f(q)\) \(=\) \(q+(1.25108 - 0.659399i) q^{2} +(0.977923 - 1.42957i) q^{3} +(1.13039 - 1.64992i) q^{4} +(-0.765671 - 2.25560i) q^{5} +(0.280800 - 2.43334i) q^{6} +(1.05377 + 1.37330i) q^{7} +(0.326245 - 2.80955i) q^{8} +(-1.08733 - 2.79602i) q^{9} +O(q^{10})\) \(q+(1.25108 - 0.659399i) q^{2} +(0.977923 - 1.42957i) q^{3} +(1.13039 - 1.64992i) q^{4} +(-0.765671 - 2.25560i) q^{5} +(0.280800 - 2.43334i) q^{6} +(1.05377 + 1.37330i) q^{7} +(0.326245 - 2.80955i) q^{8} +(-1.08733 - 2.79602i) q^{9} +(-2.44525 - 2.31704i) q^{10} +(-0.555516 + 0.0364104i) q^{11} +(-1.25324 - 3.22946i) q^{12} +(4.12433 + 4.70290i) q^{13} +(2.22389 + 1.02324i) q^{14} +(-3.97330 - 1.11122i) q^{15} +(-1.44446 - 3.73009i) q^{16} +(-4.04767 + 4.04767i) q^{17} +(-3.20403 - 2.78104i) q^{18} +(0.619179 + 3.11282i) q^{19} +(-4.58705 - 1.28640i) q^{20} +(2.99372 - 0.163455i) q^{21} +(-0.670984 + 0.411859i) q^{22} +(-2.14962 - 1.64946i) q^{23} +(-3.69740 - 3.21391i) q^{24} +(-0.534691 + 0.410283i) q^{25} +(8.26094 + 3.16410i) q^{26} +(-5.06043 - 1.17987i) q^{27} +(3.45699 - 0.186275i) q^{28} +(0.508442 + 1.03102i) q^{29} +(-5.70363 + 1.22977i) q^{30} +(2.53342 - 1.46267i) q^{31} +(-4.26674 - 3.71415i) q^{32} +(-0.491200 + 0.829755i) q^{33} +(-2.39491 + 7.73297i) q^{34} +(2.29076 - 3.42836i) q^{35} +(-5.84230 - 1.36656i) q^{36} +(1.55289 - 7.80690i) q^{37} +(2.82723 + 3.48610i) q^{38} +(10.7564 - 1.29694i) q^{39} +(-6.58700 + 1.41531i) q^{40} +(6.43239 + 4.93574i) q^{41} +(3.63759 - 2.17855i) q^{42} +(0.753577 + 11.4974i) q^{43} +(-0.567873 + 0.957714i) q^{44} +(-5.47414 + 4.59342i) q^{45} +(-3.77699 - 0.646145i) q^{46} +(-1.75166 - 6.53727i) q^{47} +(-6.74498 - 1.58279i) q^{48} +(1.03622 - 3.86722i) q^{49} +(-0.398399 + 0.865870i) q^{50} +(1.82811 + 9.74472i) q^{51} +(12.4215 - 1.48872i) q^{52} +(-2.94043 - 4.40066i) q^{53} +(-7.10898 + 1.86074i) q^{54} +(0.507470 + 1.22514i) q^{55} +(4.20213 - 2.51258i) q^{56} +(5.05551 + 2.15894i) q^{57} +(1.31595 + 0.954617i) q^{58} +(2.78077 + 8.19189i) q^{59} +(-6.32477 + 5.29951i) q^{60} +(-6.59370 + 3.25166i) q^{61} +(2.20502 - 3.50045i) q^{62} +(2.69396 - 4.43958i) q^{63} +(-7.78713 - 1.83320i) q^{64} +(7.44995 - 12.9037i) q^{65} +(-0.0673897 + 1.36198i) q^{66} +(-0.254497 + 3.88288i) q^{67} +(2.10289 + 11.2537i) q^{68} +(-4.46018 + 1.45998i) q^{69} +(0.605256 - 5.79967i) q^{70} +(-1.77930 + 4.29560i) q^{71} +(-8.21028 + 2.14273i) q^{72} +(-5.93905 - 14.3381i) q^{73} +(-3.20508 - 10.7910i) q^{74} +(0.0636412 + 1.16560i) q^{75} +(5.83581 + 2.49710i) q^{76} +(-0.635386 - 0.724519i) q^{77} +(12.6019 - 8.71533i) q^{78} +(9.13053 - 2.44652i) q^{79} +(-7.30759 + 6.11413i) q^{80} +(-6.63541 + 6.08041i) q^{81} +(11.3020 + 1.93348i) q^{82} +(13.0525 + 4.43074i) q^{83} +(3.11437 - 5.12416i) q^{84} +(12.2291 + 6.03071i) q^{85} +(8.52414 + 13.8872i) q^{86} +(1.97113 + 0.281403i) q^{87} +(-0.0789374 + 1.57263i) q^{88} +(-1.86775 - 0.773649i) q^{89} +(-3.81967 + 9.35636i) q^{90} +(-2.11238 + 10.6197i) q^{91} +(-5.15137 + 1.68217i) q^{92} +(0.386500 - 5.05208i) q^{93} +(-6.50212 - 7.02358i) q^{94} +(6.54718 - 3.78002i) q^{95} +(-9.48218 + 2.46745i) q^{96} +(11.7390 + 6.77752i) q^{97} +(-1.25365 - 5.52147i) q^{98} +(0.705836 + 1.51364i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 32 q^{8} - 16 q^{9} + O(q^{10}) \) \( 1504 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 32 q^{8} - 16 q^{9} - 32 q^{10} - 8 q^{11} - 16 q^{12} - 8 q^{13} - 8 q^{14} - 16 q^{15} - 8 q^{16} - 32 q^{17} - 16 q^{18} - 32 q^{19} - 8 q^{20} - 16 q^{21} - 8 q^{22} - 8 q^{23} + 64 q^{24} - 8 q^{25} - 32 q^{26} - 16 q^{27} - 32 q^{28} - 8 q^{29} - 96 q^{30} - 8 q^{32} - 8 q^{34} - 32 q^{35} - 96 q^{36} - 32 q^{37} - 8 q^{38} - 16 q^{39} - 8 q^{40} - 8 q^{41} + 64 q^{42} - 8 q^{43} - 32 q^{44} - 16 q^{45} - 32 q^{46} - 8 q^{47} - 16 q^{48} - 8 q^{49} - 8 q^{50} - 16 q^{51} - 8 q^{52} - 32 q^{53} - 16 q^{54} - 32 q^{55} - 8 q^{56} - 16 q^{57} - 80 q^{58} - 8 q^{59} - 16 q^{60} - 8 q^{61} - 64 q^{62} - 32 q^{63} - 32 q^{64} - 16 q^{65} - 32 q^{66} - 8 q^{67} - 8 q^{68} - 16 q^{69} - 8 q^{70} - 32 q^{71} - 16 q^{72} - 32 q^{73} - 8 q^{74} - 16 q^{75} + 40 q^{76} - 8 q^{77} - 40 q^{78} - 8 q^{79} - 160 q^{80} - 16 q^{81} - 32 q^{82} - 8 q^{83} - 128 q^{84} - 8 q^{85} - 216 q^{86} - 16 q^{87} - 8 q^{88} - 32 q^{89} - 160 q^{90} - 32 q^{91} + 144 q^{92} - 40 q^{93} - 8 q^{94} - 152 q^{96} - 304 q^{98} - 16 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{1}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.25108 0.659399i 0.884645 0.466266i
\(3\) 0.977923 1.42957i 0.564604 0.825362i
\(4\) 1.13039 1.64992i 0.565193 0.824959i
\(5\) −0.765671 2.25560i −0.342419 1.00873i −0.972640 0.232317i \(-0.925369\pi\)
0.630221 0.776416i \(-0.282964\pi\)
\(6\) 0.280800 2.43334i 0.114636 0.993408i
\(7\) 1.05377 + 1.37330i 0.398286 + 0.519057i 0.948846 0.315739i \(-0.102252\pi\)
−0.550560 + 0.834796i \(0.685586\pi\)
\(8\) 0.326245 2.80955i 0.115345 0.993325i
\(9\) −1.08733 2.79602i −0.362445 0.932005i
\(10\) −2.44525 2.31704i −0.773256 0.732712i
\(11\) −0.555516 + 0.0364104i −0.167494 + 0.0109782i −0.148920 0.988849i \(-0.547580\pi\)
−0.0185748 + 0.999827i \(0.505913\pi\)
\(12\) −1.25324 3.22946i −0.361780 0.932264i
\(13\) 4.12433 + 4.70290i 1.14388 + 1.30435i 0.946016 + 0.324120i \(0.105068\pi\)
0.197867 + 0.980229i \(0.436599\pi\)
\(14\) 2.22389 + 1.02324i 0.594360 + 0.273474i
\(15\) −3.97330 1.11122i −1.02590 0.286915i
\(16\) −1.44446 3.73009i −0.361114 0.932522i
\(17\) −4.04767 + 4.04767i −0.981703 + 0.981703i −0.999836 0.0181323i \(-0.994228\pi\)
0.0181323 + 0.999836i \(0.494228\pi\)
\(18\) −3.20403 2.78104i −0.755197 0.655498i
\(19\) 0.619179 + 3.11282i 0.142049 + 0.714131i 0.984504 + 0.175363i \(0.0561099\pi\)
−0.842454 + 0.538768i \(0.818890\pi\)
\(20\) −4.58705 1.28640i −1.02570 0.287647i
\(21\) 2.99372 0.163455i 0.653284 0.0356689i
\(22\) −0.670984 + 0.411859i −0.143054 + 0.0878086i
\(23\) −2.14962 1.64946i −0.448227 0.343936i 0.359854 0.933009i \(-0.382827\pi\)
−0.808080 + 0.589072i \(0.799493\pi\)
\(24\) −3.69740 3.21391i −0.754729 0.656037i
\(25\) −0.534691 + 0.410283i −0.106938 + 0.0820565i
\(26\) 8.26094 + 3.16410i 1.62010 + 0.620532i
\(27\) −5.06043 1.17987i −0.973880 0.227065i
\(28\) 3.45699 0.186275i 0.653309 0.0352026i
\(29\) 0.508442 + 1.03102i 0.0944153 + 0.191455i 0.938957 0.344034i \(-0.111794\pi\)
−0.844542 + 0.535490i \(0.820127\pi\)
\(30\) −5.70363 + 1.22977i −1.04134 + 0.224524i
\(31\) 2.53342 1.46267i 0.455016 0.262703i −0.254930 0.966959i \(-0.582053\pi\)
0.709946 + 0.704256i \(0.248719\pi\)
\(32\) −4.26674 3.71415i −0.754260 0.656575i
\(33\) −0.491200 + 0.829755i −0.0855070 + 0.144442i
\(34\) −2.39491 + 7.73297i −0.410724 + 1.32619i
\(35\) 2.29076 3.42836i 0.387209 0.579499i
\(36\) −5.84230 1.36656i −0.973717 0.227760i
\(37\) 1.55289 7.80690i 0.255293 1.28345i −0.614062 0.789258i \(-0.710465\pi\)
0.869355 0.494188i \(-0.164535\pi\)
\(38\) 2.82723 + 3.48610i 0.458638 + 0.565519i
\(39\) 10.7564 1.29694i 1.72240 0.207677i
\(40\) −6.58700 + 1.41531i −1.04150 + 0.223781i
\(41\) 6.43239 + 4.93574i 1.00457 + 0.770834i 0.973501 0.228684i \(-0.0734421\pi\)
0.0310692 + 0.999517i \(0.490109\pi\)
\(42\) 3.63759 2.17855i 0.561293 0.336158i
\(43\) 0.753577 + 11.4974i 0.114919 + 1.75333i 0.534093 + 0.845426i \(0.320653\pi\)
−0.419173 + 0.907906i \(0.637680\pi\)
\(44\) −0.567873 + 0.957714i −0.0856101 + 0.144381i
\(45\) −5.47414 + 4.59342i −0.816036 + 0.684746i
\(46\) −3.77699 0.646145i −0.556887 0.0952689i
\(47\) −1.75166 6.53727i −0.255505 0.953558i −0.967809 0.251687i \(-0.919015\pi\)
0.712304 0.701872i \(-0.247652\pi\)
\(48\) −6.74498 1.58279i −0.973554 0.228455i
\(49\) 1.03622 3.86722i 0.148031 0.552460i
\(50\) −0.398399 + 0.865870i −0.0563421 + 0.122452i
\(51\) 1.82811 + 9.74472i 0.255987 + 1.36453i
\(52\) 12.4215 1.48872i 1.72255 0.206448i
\(53\) −2.94043 4.40066i −0.403899 0.604477i 0.572643 0.819805i \(-0.305918\pi\)
−0.976542 + 0.215328i \(0.930918\pi\)
\(54\) −7.10898 + 1.86074i −0.967410 + 0.253214i
\(55\) 0.507470 + 1.22514i 0.0684272 + 0.165198i
\(56\) 4.20213 2.51258i 0.561533 0.335757i
\(57\) 5.05551 + 2.15894i 0.669618 + 0.285959i
\(58\) 1.31595 + 0.954617i 0.172793 + 0.125347i
\(59\) 2.78077 + 8.19189i 0.362026 + 1.06649i 0.963525 + 0.267619i \(0.0862370\pi\)
−0.601499 + 0.798873i \(0.705430\pi\)
\(60\) −6.32477 + 5.29951i −0.816525 + 0.684163i
\(61\) −6.59370 + 3.25166i −0.844237 + 0.416332i −0.812357 0.583160i \(-0.801816\pi\)
−0.0318800 + 0.999492i \(0.510149\pi\)
\(62\) 2.20502 3.50045i 0.280038 0.444557i
\(63\) 2.69396 4.43958i 0.339407 0.559334i
\(64\) −7.78713 1.83320i −0.973391 0.229150i
\(65\) 7.44995 12.9037i 0.924052 1.60051i
\(66\) −0.0673897 + 1.36198i −0.00829509 + 0.167649i
\(67\) −0.254497 + 3.88288i −0.0310918 + 0.474369i 0.953715 + 0.300713i \(0.0972248\pi\)
−0.984806 + 0.173656i \(0.944442\pi\)
\(68\) 2.10289 + 11.2537i 0.255013 + 1.36472i
\(69\) −4.46018 + 1.45998i −0.536943 + 0.175761i
\(70\) 0.605256 5.79967i 0.0723419 0.693193i
\(71\) −1.77930 + 4.29560i −0.211164 + 0.509795i −0.993603 0.112933i \(-0.963975\pi\)
0.782439 + 0.622727i \(0.213975\pi\)
\(72\) −8.21028 + 2.14273i −0.967591 + 0.252524i
\(73\) −5.93905 14.3381i −0.695114 1.67815i −0.734214 0.678918i \(-0.762449\pi\)
0.0391005 0.999235i \(-0.487551\pi\)
\(74\) −3.20508 10.7910i −0.372583 1.25443i
\(75\) 0.0636412 + 1.16560i 0.00734865 + 0.134592i
\(76\) 5.83581 + 2.49710i 0.669414 + 0.286437i
\(77\) −0.635386 0.724519i −0.0724090 0.0825666i
\(78\) 12.6019 8.71533i 1.42688 0.986817i
\(79\) 9.13053 2.44652i 1.02726 0.275255i 0.294438 0.955671i \(-0.404867\pi\)
0.732826 + 0.680416i \(0.238201\pi\)
\(80\) −7.30759 + 6.11413i −0.817013 + 0.683580i
\(81\) −6.63541 + 6.08041i −0.737267 + 0.675601i
\(82\) 11.3020 + 1.93348i 1.24810 + 0.213518i
\(83\) 13.0525 + 4.43074i 1.43270 + 0.486337i 0.926571 0.376119i \(-0.122742\pi\)
0.506132 + 0.862456i \(0.331075\pi\)
\(84\) 3.11437 5.12416i 0.339806 0.559092i
\(85\) 12.2291 + 6.03071i 1.32643 + 0.654123i
\(86\) 8.52414 + 13.8872i 0.919181 + 1.49749i
\(87\) 1.97113 + 0.281403i 0.211327 + 0.0301696i
\(88\) −0.0789374 + 1.57263i −0.00841476 + 0.167643i
\(89\) −1.86775 0.773649i −0.197981 0.0820066i 0.281490 0.959564i \(-0.409171\pi\)
−0.479471 + 0.877558i \(0.659171\pi\)
\(90\) −3.81967 + 9.35636i −0.402629 + 0.986247i
\(91\) −2.11238 + 10.6197i −0.221438 + 1.11324i
\(92\) −5.15137 + 1.68217i −0.537068 + 0.175378i
\(93\) 0.386500 5.05208i 0.0400782 0.523876i
\(94\) −6.50212 7.02358i −0.670643 0.724427i
\(95\) 6.54718 3.78002i 0.671727 0.387822i
\(96\) −9.48218 + 2.46745i −0.967771 + 0.251833i
\(97\) 11.7390 + 6.77752i 1.19192 + 0.688153i 0.958741 0.284281i \(-0.0917550\pi\)
0.233175 + 0.972435i \(0.425088\pi\)
\(98\) −1.25365 5.52147i −0.126638 0.557752i
\(99\) 0.705836 + 1.51364i 0.0709392 + 0.152127i
\(100\) 0.0725258 + 1.34597i 0.00725258 + 0.134597i
\(101\) −9.42192 8.26280i −0.937516 0.822179i 0.0467441 0.998907i \(-0.485115\pi\)
−0.984260 + 0.176728i \(0.943449\pi\)
\(102\) 8.71277 + 10.9859i 0.862693 + 1.08777i
\(103\) 1.22676 + 9.31819i 0.120877 + 0.918149i 0.939195 + 0.343384i \(0.111573\pi\)
−0.818319 + 0.574765i \(0.805094\pi\)
\(104\) 14.5586 10.0532i 1.42758 0.985798i
\(105\) −2.66090 6.62747i −0.259677 0.646775i
\(106\) −6.58049 3.56665i −0.639154 0.346423i
\(107\) −8.11283 + 5.42082i −0.784297 + 0.524050i −0.882047 0.471161i \(-0.843835\pi\)
0.0977508 + 0.995211i \(0.468835\pi\)
\(108\) −7.66692 + 7.01558i −0.737749 + 0.675075i
\(109\) −0.931381 4.68237i −0.0892101 0.448490i −0.999411 0.0343221i \(-0.989073\pi\)
0.910201 0.414167i \(-0.135927\pi\)
\(110\) 1.44274 + 1.19812i 0.137560 + 0.114236i
\(111\) −9.64189 9.85450i −0.915168 0.935348i
\(112\) 3.60039 5.91430i 0.340205 0.558849i
\(113\) 0.818038 3.05296i 0.0769545 0.287198i −0.916715 0.399542i \(-0.869169\pi\)
0.993669 + 0.112344i \(0.0358358\pi\)
\(114\) 7.74843 0.632595i 0.725707 0.0592479i
\(115\) −2.07461 + 6.11162i −0.193459 + 0.569911i
\(116\) 2.27583 + 0.326561i 0.211306 + 0.0303204i
\(117\) 8.66484 16.6453i 0.801065 1.53886i
\(118\) 8.88068 + 8.41504i 0.817533 + 0.774667i
\(119\) −9.82393 1.29335i −0.900559 0.118561i
\(120\) −4.41829 + 10.8006i −0.403333 + 0.985959i
\(121\) −10.5986 + 1.39533i −0.963511 + 0.126849i
\(122\) −6.10509 + 8.41595i −0.552729 + 0.761945i
\(123\) 13.3464 4.36876i 1.20340 0.393918i
\(124\) 0.450456 5.83332i 0.0404521 0.523847i
\(125\) −8.56801 5.72496i −0.766346 0.512056i
\(126\) 0.442893 7.33065i 0.0394561 0.653066i
\(127\) −12.9883 −1.15253 −0.576264 0.817263i \(-0.695490\pi\)
−0.576264 + 0.817263i \(0.695490\pi\)
\(128\) −10.9511 + 2.84135i −0.967950 + 0.251142i
\(129\) 17.1732 + 10.1662i 1.51202 + 0.895088i
\(130\) 0.811776 21.0560i 0.0711975 1.84673i
\(131\) 0.158470 2.41779i 0.0138456 0.211243i −0.985330 0.170657i \(-0.945411\pi\)
0.999176 0.0405858i \(-0.0129224\pi\)
\(132\) 0.813782 + 1.74838i 0.0708306 + 0.152177i
\(133\) −3.62236 + 4.13050i −0.314098 + 0.358160i
\(134\) 2.24197 + 5.02560i 0.193677 + 0.434145i
\(135\) 1.21332 + 12.3177i 0.104426 + 1.06014i
\(136\) 10.0516 + 12.6926i 0.861916 + 1.08839i
\(137\) 3.94854 + 0.519836i 0.337347 + 0.0444126i 0.297297 0.954785i \(-0.403915\pi\)
0.0400501 + 0.999198i \(0.487248\pi\)
\(138\) −4.61731 + 4.76759i −0.393052 + 0.405844i
\(139\) −3.32239 + 6.73714i −0.281802 + 0.571437i −0.991045 0.133526i \(-0.957370\pi\)
0.709244 + 0.704963i \(0.249037\pi\)
\(140\) −3.06708 7.65494i −0.259215 0.646960i
\(141\) −11.0585 3.88883i −0.931290 0.327498i
\(142\) 0.606480 + 6.54740i 0.0508947 + 0.549445i
\(143\) −2.46237 2.46237i −0.205913 0.205913i
\(144\) −8.85877 + 8.09458i −0.738231 + 0.674548i
\(145\) 1.93626 1.93626i 0.160798 0.160798i
\(146\) −16.8848 14.0219i −1.39739 1.16046i
\(147\) −4.51511 5.26318i −0.372400 0.434100i
\(148\) −11.1254 11.3869i −0.914500 0.936001i
\(149\) 9.80170 + 4.83366i 0.802987 + 0.395989i 0.796990 0.603993i \(-0.206424\pi\)
0.00599682 + 0.999982i \(0.498091\pi\)
\(150\) 0.848217 + 1.41629i 0.0692566 + 0.115640i
\(151\) −1.57887 + 11.9927i −0.128487 + 0.975952i 0.798799 + 0.601598i \(0.205469\pi\)
−0.927286 + 0.374354i \(0.877864\pi\)
\(152\) 8.94763 0.724071i 0.725749 0.0587299i
\(153\) 15.7185 + 6.91617i 1.27077 + 0.559139i
\(154\) −1.27266 0.487456i −0.102554 0.0392803i
\(155\) −5.23896 4.59445i −0.420804 0.369035i
\(156\) 10.0190 19.2132i 0.802163 1.53829i
\(157\) 7.24350 + 0.474764i 0.578094 + 0.0378903i 0.351646 0.936133i \(-0.385622\pi\)
0.226448 + 0.974023i \(0.427289\pi\)
\(158\) 9.80976 9.08144i 0.780422 0.722481i
\(159\) −9.16656 0.0999615i −0.726955 0.00792747i
\(160\) −5.11070 + 12.4679i −0.404036 + 0.985671i
\(161\) 4.69021i 0.369640i
\(162\) −4.29198 + 11.9824i −0.337210 + 0.941429i
\(163\) −10.2642 + 15.3615i −0.803956 + 1.20321i 0.171969 + 0.985102i \(0.444987\pi\)
−0.975926 + 0.218104i \(0.930013\pi\)
\(164\) 15.4146 5.03361i 1.20368 0.393059i
\(165\) 2.24769 + 0.472630i 0.174982 + 0.0367942i
\(166\) 19.2514 3.06364i 1.49420 0.237784i
\(167\) −0.590107 4.48231i −0.0456638 0.346851i −0.998991 0.0449118i \(-0.985699\pi\)
0.953327 0.301939i \(-0.0976340\pi\)
\(168\) 0.517451 8.46433i 0.0399222 0.653038i
\(169\) −3.41030 + 25.9038i −0.262331 + 1.99260i
\(170\) 19.2762 0.518957i 1.47841 0.0398022i
\(171\) 8.03025 5.11592i 0.614088 0.391224i
\(172\) 19.8215 + 11.7531i 1.51138 + 0.896167i
\(173\) 15.6095 + 5.29870i 1.18677 + 0.402853i 0.843884 0.536525i \(-0.180263\pi\)
0.342882 + 0.939378i \(0.388597\pi\)
\(174\) 2.65159 0.947704i 0.201017 0.0718452i
\(175\) −1.12688 0.301946i −0.0851840 0.0228250i
\(176\) 0.938233 + 2.01953i 0.0707220 + 0.152228i
\(177\) 14.4302 + 4.03573i 1.08464 + 0.303344i
\(178\) −2.84685 + 0.263701i −0.213380 + 0.0197652i
\(179\) −9.44178 + 1.87809i −0.705712 + 0.140375i −0.534883 0.844926i \(-0.679644\pi\)
−0.170829 + 0.985301i \(0.554644\pi\)
\(180\) 1.39087 + 14.2242i 0.103669 + 1.06021i
\(181\) 1.68086 + 2.51558i 0.124937 + 0.186982i 0.888665 0.458556i \(-0.151633\pi\)
−0.763728 + 0.645538i \(0.776633\pi\)
\(182\) 4.35985 + 14.6789i 0.323173 + 1.08807i
\(183\) −1.79967 + 12.6060i −0.133035 + 0.931864i
\(184\) −5.33554 + 5.50133i −0.393342 + 0.405564i
\(185\) −18.7982 + 2.47483i −1.38207 + 0.181953i
\(186\) −2.84779 6.57540i −0.208810 0.482131i
\(187\) 2.10117 2.39592i 0.153652 0.175207i
\(188\) −12.7660 4.49955i −0.931056 0.328163i
\(189\) −3.71220 8.19276i −0.270023 0.595936i
\(190\) 5.69849 9.04630i 0.413412 0.656288i
\(191\) 6.79274 11.7654i 0.491506 0.851313i −0.508446 0.861094i \(-0.669780\pi\)
0.999952 + 0.00978071i \(0.00311335\pi\)
\(192\) −10.2359 + 9.33951i −0.738712 + 0.674021i
\(193\) −9.93674 17.2109i −0.715263 1.23887i −0.962858 0.270008i \(-0.912974\pi\)
0.247596 0.968863i \(-0.420360\pi\)
\(194\) 19.1555 + 0.738506i 1.37528 + 0.0530216i
\(195\) −11.1612 23.2690i −0.799273 1.66633i
\(196\) −5.20926 6.08112i −0.372090 0.434366i
\(197\) −0.513417 0.102125i −0.0365794 0.00727610i 0.176767 0.984253i \(-0.443436\pi\)
−0.213346 + 0.976977i \(0.568436\pi\)
\(198\) 1.88115 + 1.42825i 0.133687 + 0.101502i
\(199\) 4.30335 10.3892i 0.305057 0.736472i −0.694794 0.719208i \(-0.744505\pi\)
0.999851 0.0172633i \(-0.00549536\pi\)
\(200\) 0.978269 + 1.63609i 0.0691741 + 0.115689i
\(201\) 5.30197 + 4.16098i 0.373972 + 0.293493i
\(202\) −17.2360 4.12459i −1.21272 0.290205i
\(203\) −0.880114 + 1.78469i −0.0617719 + 0.125261i
\(204\) 18.1445 + 7.99906i 1.27037 + 0.560046i
\(205\) 6.20795 18.2880i 0.433582 1.27729i
\(206\) 7.67918 + 10.8488i 0.535034 + 0.755875i
\(207\) −2.27456 + 7.80389i −0.158093 + 0.542408i
\(208\) 11.5848 22.1772i 0.803261 1.53771i
\(209\) −0.457303 1.70668i −0.0316323 0.118053i
\(210\) −7.69913 6.53688i −0.531291 0.451088i
\(211\) −11.6219 + 10.1921i −0.800082 + 0.701653i −0.958304 0.285750i \(-0.907757\pi\)
0.158222 + 0.987404i \(0.449424\pi\)
\(212\) −10.5845 0.122981i −0.726949 0.00844635i
\(213\) 4.40085 + 6.74440i 0.301541 + 0.462119i
\(214\) −6.57529 + 12.1314i −0.449477 + 0.829289i
\(215\) 25.3564 10.5030i 1.72929 0.716297i
\(216\) −4.96583 + 13.8326i −0.337882 + 0.941188i
\(217\) 4.67831 + 1.93782i 0.317585 + 0.131548i
\(218\) −4.25278 5.24385i −0.288035 0.355158i
\(219\) −26.3053 5.53131i −1.77755 0.373771i
\(220\) 2.59502 + 0.547598i 0.174956 + 0.0369191i
\(221\) −35.7297 2.34185i −2.40344 0.157530i
\(222\) −18.5608 5.97088i −1.24572 0.400739i
\(223\) −12.8210 7.40223i −0.858561 0.495690i 0.00496938 0.999988i \(-0.498418\pi\)
−0.863530 + 0.504297i \(0.831752\pi\)
\(224\) 0.604477 9.77334i 0.0403883 0.653009i
\(225\) 1.72854 + 1.04889i 0.115236 + 0.0699259i
\(226\) −0.989690 4.35890i −0.0658332 0.289950i
\(227\) −3.06508 6.21536i −0.203436 0.412528i 0.771114 0.636697i \(-0.219700\pi\)
−0.974550 + 0.224169i \(0.928033\pi\)
\(228\) 9.27675 5.90073i 0.614368 0.390785i
\(229\) −5.67410 + 1.92610i −0.374955 + 0.127280i −0.502554 0.864546i \(-0.667606\pi\)
0.127599 + 0.991826i \(0.459273\pi\)
\(230\) 1.43449 + 9.01410i 0.0945877 + 0.594372i
\(231\) −1.65711 + 0.199805i −0.109030 + 0.0131462i
\(232\) 3.06257 1.09213i 0.201068 0.0717017i
\(233\) −17.4537 + 7.22957i −1.14343 + 0.473625i −0.872326 0.488924i \(-0.837389\pi\)
−0.271106 + 0.962549i \(0.587389\pi\)
\(234\) −0.135519 26.5381i −0.00885918 1.73485i
\(235\) −13.4042 + 8.95642i −0.874396 + 0.584253i
\(236\) 16.6593 + 4.67195i 1.08443 + 0.304118i
\(237\) 5.43148 15.4452i 0.352813 1.00327i
\(238\) −13.1433 + 4.85982i −0.851955 + 0.315015i
\(239\) 23.1884 + 6.21332i 1.49993 + 0.401906i 0.913078 0.407785i \(-0.133699\pi\)
0.586856 + 0.809691i \(0.300365\pi\)
\(240\) 1.59432 + 16.4258i 0.102913 + 1.06028i
\(241\) −0.432149 + 0.115794i −0.0278372 + 0.00745895i −0.272711 0.962096i \(-0.587920\pi\)
0.244874 + 0.969555i \(0.421254\pi\)
\(242\) −12.3396 + 8.73439i −0.793220 + 0.561468i
\(243\) 2.20345 + 15.4319i 0.141352 + 0.989959i
\(244\) −2.08847 + 14.5547i −0.133700 + 0.931769i
\(245\) −9.51628 + 0.623730i −0.607973 + 0.0398486i
\(246\) 13.8166 14.2662i 0.880912 0.909582i
\(247\) −12.0856 + 15.7502i −0.768987 + 1.00216i
\(248\) −3.28293 7.59496i −0.208466 0.482280i
\(249\) 19.0984 14.3266i 1.21031 0.907911i
\(250\) −14.4943 1.51263i −0.916698 0.0956669i
\(251\) −8.06992 1.60521i −0.509369 0.101320i −0.0662864 0.997801i \(-0.521115\pi\)
−0.443082 + 0.896481i \(0.646115\pi\)
\(252\) −4.27973 9.46324i −0.269598 0.596128i
\(253\) 1.25421 + 0.838033i 0.0788512 + 0.0526867i
\(254\) −16.2494 + 8.56450i −1.01958 + 0.537384i
\(255\) 20.5804 11.5847i 1.28880 0.725465i
\(256\) −11.8271 + 10.7759i −0.739193 + 0.673493i
\(257\) −8.28955 14.3579i −0.517088 0.895622i −0.999803 0.0198449i \(-0.993683\pi\)
0.482715 0.875777i \(-0.339651\pi\)
\(258\) 28.1886 + 1.39475i 1.75495 + 0.0868331i
\(259\) 12.3576 6.09407i 0.767861 0.378667i
\(260\) −12.8687 26.8779i −0.798083 1.66690i
\(261\) 2.32990 2.54267i 0.144217 0.157388i
\(262\) −1.39603 3.12933i −0.0862469 0.193331i
\(263\) 9.49509 + 12.3742i 0.585492 + 0.763029i 0.988344 0.152237i \(-0.0486476\pi\)
−0.402852 + 0.915265i \(0.631981\pi\)
\(264\) 2.17099 + 1.65075i 0.133615 + 0.101597i
\(265\) −7.67471 + 10.0019i −0.471453 + 0.614410i
\(266\) −1.80819 + 7.55616i −0.110867 + 0.463298i
\(267\) −2.93250 + 1.91351i −0.179466 + 0.117105i
\(268\) 6.11875 + 4.80905i 0.373762 + 0.293760i
\(269\) 5.05669 1.00584i 0.308312 0.0613270i −0.0385096 0.999258i \(-0.512261\pi\)
0.346821 + 0.937931i \(0.387261\pi\)
\(270\) 9.64022 + 14.6103i 0.586685 + 0.889153i
\(271\) 0.0628361 + 0.0628361i 0.00381702 + 0.00381702i 0.709013 0.705196i \(-0.249141\pi\)
−0.705196 + 0.709013i \(0.749141\pi\)
\(272\) 20.9448 + 9.25147i 1.26997 + 0.560953i
\(273\) 13.1158 + 13.4050i 0.793805 + 0.811309i
\(274\) 5.28271 1.95331i 0.319140 0.118004i
\(275\) 0.282091 0.247387i 0.0170107 0.0149180i
\(276\) −2.63287 + 9.00927i −0.158480 + 0.542295i
\(277\) −1.72003 26.2425i −0.103346 1.57676i −0.663375 0.748287i \(-0.730877\pi\)
0.560029 0.828473i \(-0.310790\pi\)
\(278\) 0.285900 + 10.6195i 0.0171471 + 0.636913i
\(279\) −6.84433 5.49307i −0.409759 0.328862i
\(280\) −8.88481 7.55449i −0.530969 0.451467i
\(281\) 6.21873 4.77180i 0.370978 0.284662i −0.406400 0.913695i \(-0.633216\pi\)
0.777378 + 0.629034i \(0.216549\pi\)
\(282\) −16.3993 + 2.42671i −0.976562 + 0.144509i
\(283\) 22.3858 7.59897i 1.33070 0.451712i 0.436631 0.899641i \(-0.356172\pi\)
0.894069 + 0.447929i \(0.147838\pi\)
\(284\) 5.07610 + 7.79139i 0.301211 + 0.462334i
\(285\) 0.998842 13.0562i 0.0591663 0.773383i
\(286\) −4.70429 1.45693i −0.278170 0.0861499i
\(287\) 14.0347i 0.828441i
\(288\) −5.74545 + 15.9684i −0.338554 + 0.940947i
\(289\) 15.7672i 0.927483i
\(290\) 1.14564 3.69918i 0.0672744 0.217223i
\(291\) 21.1688 10.1538i 1.24094 0.595229i
\(292\) −30.3702 6.40868i −1.77728 0.375040i
\(293\) −11.4555 + 3.88863i −0.669240 + 0.227176i −0.635321 0.772248i \(-0.719132\pi\)
−0.0339192 + 0.999425i \(0.510799\pi\)
\(294\) −9.11929 3.60738i −0.531848 0.210387i
\(295\) 16.3484 12.5446i 0.951842 0.730374i
\(296\) −21.4272 6.90988i −1.24543 0.401628i
\(297\) 2.85411 + 0.471182i 0.165612 + 0.0273408i
\(298\) 15.4500 0.415948i 0.894994 0.0240952i
\(299\) −1.10849 16.9124i −0.0641059 0.978067i
\(300\) 1.99509 + 1.21258i 0.115186 + 0.0700082i
\(301\) −14.9952 + 13.1504i −0.864308 + 0.757978i
\(302\) 5.93269 + 16.0449i 0.341388 + 0.923280i
\(303\) −21.0261 + 5.38890i −1.20792 + 0.309584i
\(304\) 10.7167 6.80593i 0.614646 0.390347i
\(305\) 12.3830 + 12.3830i 0.709050 + 0.709050i
\(306\) 24.2256 1.71211i 1.38488 0.0978749i
\(307\) −30.3434 + 6.03567i −1.73179 + 0.344474i −0.957516 0.288379i \(-0.906884\pi\)
−0.774272 + 0.632853i \(0.781884\pi\)
\(308\) −1.91363 + 0.229349i −0.109039 + 0.0130684i
\(309\) 14.5207 + 7.35873i 0.826052 + 0.418623i
\(310\) −9.58392 2.29344i −0.544330 0.130259i
\(311\) 9.85966 12.8494i 0.559090 0.728620i −0.425216 0.905092i \(-0.639802\pi\)
0.984306 + 0.176472i \(0.0564685\pi\)
\(312\) −0.134611 30.6437i −0.00762087 1.73486i
\(313\) −10.1569 13.2368i −0.574103 0.748186i 0.412566 0.910928i \(-0.364633\pi\)
−0.986669 + 0.162742i \(0.947966\pi\)
\(314\) 9.37523 4.18239i 0.529075 0.236026i
\(315\) −12.0766 2.67722i −0.680438 0.150844i
\(316\) 6.28446 17.8301i 0.353529 1.00302i
\(317\) −17.6109 + 8.68476i −0.989129 + 0.487784i −0.863530 0.504297i \(-0.831752\pi\)
−0.125599 + 0.992081i \(0.540085\pi\)
\(318\) −11.5340 + 5.91936i −0.646793 + 0.331941i
\(319\) −0.319988 0.554235i −0.0179159 0.0310312i
\(320\) 1.82742 + 18.9682i 0.102156 + 1.06036i
\(321\) −0.184284 + 16.8990i −0.0102857 + 0.943209i
\(322\) −3.09272 5.86781i −0.172350 0.327000i
\(323\) −15.1059 10.0934i −0.840515 0.561614i
\(324\) 2.53161 + 17.8211i 0.140645 + 0.990060i
\(325\) −4.13476 0.822454i −0.229355 0.0456216i
\(326\) −2.71198 + 25.9866i −0.150202 + 1.43927i
\(327\) −7.60459 3.24752i −0.420535 0.179588i
\(328\) 15.9657 16.4618i 0.881561 0.908953i
\(329\) 7.13176 9.29429i 0.393187 0.512411i
\(330\) 3.12368 0.890829i 0.171953 0.0490385i
\(331\) −12.1643 + 0.797288i −0.668608 + 0.0438229i −0.395928 0.918282i \(-0.629577\pi\)
−0.272681 + 0.962105i \(0.587910\pi\)
\(332\) 22.0648 16.5272i 1.21096 0.907047i
\(333\) −23.5167 + 4.14681i −1.28871 + 0.227244i
\(334\) −3.69390 5.21859i −0.202121 0.285549i
\(335\) 8.95307 2.39897i 0.489158 0.131070i
\(336\) −4.93400 10.9307i −0.269172 0.596321i
\(337\) −3.27078 0.876403i −0.178171 0.0477407i 0.168631 0.985679i \(-0.446066\pi\)
−0.346801 + 0.937939i \(0.612732\pi\)
\(338\) 12.8144 + 34.6564i 0.697011 + 1.88506i
\(339\) −3.56444 4.15500i −0.193594 0.225669i
\(340\) 23.7738 13.3599i 1.28931 0.724545i
\(341\) −1.35410 + 0.904780i −0.0733286 + 0.0489966i
\(342\) 6.67303 11.6955i 0.360836 0.632423i
\(343\) 17.5974 7.28909i 0.950171 0.393574i
\(344\) 32.5483 + 1.63375i 1.75488 + 0.0880857i
\(345\) 6.70817 + 8.94249i 0.361155 + 0.481448i
\(346\) 23.0226 3.66379i 1.23770 0.196967i
\(347\) −9.05715 + 3.07449i −0.486213 + 0.165047i −0.553772 0.832668i \(-0.686812\pi\)
0.0675591 + 0.997715i \(0.478479\pi\)
\(348\) 2.69243 2.93411i 0.144329 0.157285i
\(349\) −6.02400 12.2155i −0.322457 0.653879i 0.673931 0.738795i \(-0.264605\pi\)
−0.996388 + 0.0849156i \(0.972938\pi\)
\(350\) −1.60891 + 0.365305i −0.0860001 + 0.0195264i
\(351\) −15.3221 28.6648i −0.817832 1.53001i
\(352\) 2.50548 + 1.90792i 0.133542 + 0.101692i
\(353\) −0.190057 0.109729i −0.0101157 0.00584030i 0.494934 0.868931i \(-0.335192\pi\)
−0.505049 + 0.863090i \(0.668526\pi\)
\(354\) 20.7145 4.46629i 1.10096 0.237380i
\(355\) 11.0515 + 0.724354i 0.586553 + 0.0384447i
\(356\) −3.38774 + 2.20712i −0.179550 + 0.116977i
\(357\) −11.4560 + 12.7792i −0.606314 + 0.676347i
\(358\) −10.5740 + 8.57553i −0.558852 + 0.453231i
\(359\) −28.4547 11.7863i −1.50178 0.622058i −0.527938 0.849283i \(-0.677035\pi\)
−0.973842 + 0.227225i \(0.927035\pi\)
\(360\) 11.1195 + 16.8784i 0.586050 + 0.889572i
\(361\) 8.24742 3.41619i 0.434075 0.179800i
\(362\) 3.76165 + 2.03883i 0.197708 + 0.107159i
\(363\) −8.36990 + 16.5160i −0.439306 + 0.866865i
\(364\) 15.1338 + 15.4896i 0.793225 + 0.811875i
\(365\) −27.7937 + 24.3744i −1.45479 + 1.27582i
\(366\) 6.06088 + 16.9578i 0.316807 + 0.886398i
\(367\) −6.15471 22.9697i −0.321273 1.19901i −0.918006 0.396568i \(-0.870201\pi\)
0.596732 0.802440i \(-0.296465\pi\)
\(368\) −3.04760 + 10.4008i −0.158867 + 0.542181i
\(369\) 6.80626 23.3519i 0.354320 1.21565i
\(370\) −21.8861 + 15.4917i −1.13780 + 0.805376i
\(371\) 2.94488 8.67534i 0.152891 0.450401i
\(372\) −7.89862 6.34849i −0.409524 0.329154i
\(373\) 6.17233 12.5163i 0.319591 0.648067i −0.676496 0.736447i \(-0.736502\pi\)
0.996087 + 0.0883796i \(0.0281689\pi\)
\(374\) 1.04885 4.38299i 0.0542348 0.226639i
\(375\) −16.5631 + 6.64999i −0.855313 + 0.343404i
\(376\) −18.9382 + 2.78861i −0.976665 + 0.143812i
\(377\) −2.75179 + 6.64341i −0.141724 + 0.342153i
\(378\) −10.0465 7.80195i −0.516739 0.401289i
\(379\) 30.8406 + 6.13457i 1.58417 + 0.315112i 0.907136 0.420838i \(-0.138264\pi\)
0.677037 + 0.735949i \(0.263264\pi\)
\(380\) 1.16412 15.0752i 0.0597183 0.773341i
\(381\) −12.7016 + 18.5677i −0.650722 + 0.951253i
\(382\) 0.740164 19.1985i 0.0378701 0.982282i
\(383\) −1.36953 2.37210i −0.0699799 0.121209i 0.828912 0.559379i \(-0.188960\pi\)
−0.898892 + 0.438170i \(0.855627\pi\)
\(384\) −6.64743 + 18.4340i −0.339225 + 0.940705i
\(385\) −1.14773 + 1.98792i −0.0584935 + 0.101314i
\(386\) −23.7805 14.9799i −1.21040 0.762459i
\(387\) 31.3274 14.6085i 1.59246 0.742592i
\(388\) 24.4520 11.7072i 1.24136 0.594343i
\(389\) −23.7647 + 27.0985i −1.20492 + 1.37395i −0.296961 + 0.954890i \(0.595973\pi\)
−0.907959 + 0.419058i \(0.862360\pi\)
\(390\) −29.3071 21.7516i −1.48402 1.10144i
\(391\) 15.3774 2.02447i 0.777669 0.102382i
\(392\) −10.5271 4.17296i −0.531697 0.210766i
\(393\) −3.30142 2.59095i −0.166535 0.130696i
\(394\) −0.709665 + 0.210780i −0.0357524 + 0.0106190i
\(395\) −12.5093 18.7215i −0.629413 0.941983i
\(396\) 3.29525 + 0.546427i 0.165593 + 0.0274590i
\(397\) 17.7280 3.52632i 0.889744 0.176981i 0.271005 0.962578i \(-0.412644\pi\)
0.618739 + 0.785597i \(0.287644\pi\)
\(398\) −1.46681 15.8353i −0.0735247 0.793753i
\(399\) 2.36246 + 9.21772i 0.118271 + 0.461463i
\(400\) 2.30273 + 1.40181i 0.115136 + 0.0700904i
\(401\) −24.2976 6.51052i −1.21336 0.325120i −0.405282 0.914192i \(-0.632827\pi\)
−0.808081 + 0.589072i \(0.799493\pi\)
\(402\) 9.37691 + 1.70959i 0.467678 + 0.0852666i
\(403\) 17.3274 + 5.88188i 0.863142 + 0.292997i
\(404\) −24.2833 + 6.20524i −1.20814 + 0.308722i
\(405\) 18.7955 + 10.3112i 0.933955 + 0.512367i
\(406\) 0.0757359 + 2.81314i 0.00375871 + 0.139614i
\(407\) −0.578402 + 4.39340i −0.0286703 + 0.217773i
\(408\) 27.9747 1.95701i 1.38495 0.0968863i
\(409\) 3.95411 + 30.0345i 0.195518 + 1.48511i 0.754703 + 0.656066i \(0.227781\pi\)
−0.559185 + 0.829043i \(0.688886\pi\)
\(410\) −4.29249 26.9732i −0.211991 1.33211i
\(411\) 4.60451 5.13636i 0.227124 0.253358i
\(412\) 16.7610 + 8.50909i 0.825753 + 0.419213i
\(413\) −8.31959 + 12.4512i −0.409380 + 0.612681i
\(414\) 2.30022 + 11.2631i 0.113050 + 0.553551i
\(415\) 32.8338i 1.61175i
\(416\) −0.130179 35.3844i −0.00638256 1.73486i
\(417\) 6.38217 + 11.3380i 0.312536 + 0.555224i
\(418\) −1.69750 1.83364i −0.0830276 0.0896863i
\(419\) 35.9109 + 2.35373i 1.75436 + 0.114987i 0.908360 0.418189i \(-0.137335\pi\)
0.846004 + 0.533177i \(0.179002\pi\)
\(420\) −13.9426 3.10134i −0.680330 0.151330i
\(421\) 9.52126 + 8.34992i 0.464038 + 0.406950i 0.859183 0.511669i \(-0.170972\pi\)
−0.395145 + 0.918619i \(0.629306\pi\)
\(422\) −7.81918 + 20.4146i −0.380632 + 0.993765i
\(423\) −16.3737 + 12.0059i −0.796115 + 0.583745i
\(424\) −13.3232 + 6.82558i −0.647030 + 0.331479i
\(425\) 0.503563 3.82494i 0.0244264 0.185537i
\(426\) 9.95305 + 5.53584i 0.482227 + 0.268213i
\(427\) −11.4137 5.62862i −0.552348 0.272388i
\(428\) −0.226721 + 19.5131i −0.0109590 + 0.943202i
\(429\) −5.92812 + 1.11212i −0.286212 + 0.0536936i
\(430\) 24.7972 29.8600i 1.19583 1.43998i
\(431\) −22.6605 + 22.6605i −1.09152 + 1.09152i −0.0961502 + 0.995367i \(0.530653\pi\)
−0.995367 + 0.0961502i \(0.969347\pi\)
\(432\) 2.90856 + 20.5801i 0.139938 + 0.990160i
\(433\) −21.8872 21.8872i −1.05183 1.05183i −0.998581 0.0532502i \(-0.983042\pi\)
−0.0532502 0.998581i \(-0.516958\pi\)
\(434\) 7.13072 0.660513i 0.342286 0.0317056i
\(435\) −0.874505 4.66153i −0.0419293 0.223503i
\(436\) −8.77834 3.75618i −0.420406 0.179888i
\(437\) 3.80348 7.71270i 0.181945 0.368948i
\(438\) −36.5573 + 10.4256i −1.74678 + 0.498155i
\(439\) −3.42925 0.451470i −0.163669 0.0215475i 0.0482461 0.998835i \(-0.484637\pi\)
−0.211915 + 0.977288i \(0.567970\pi\)
\(440\) 3.60765 1.02607i 0.171988 0.0489158i
\(441\) −11.9395 + 1.30768i −0.568548 + 0.0622704i
\(442\) −46.2448 + 20.6303i −2.19964 + 0.981282i
\(443\) −11.2457 + 12.8233i −0.534300 + 0.609253i −0.954512 0.298174i \(-0.903623\pi\)
0.420211 + 0.907426i \(0.361956\pi\)
\(444\) −27.1582 + 4.76894i −1.28887 + 0.226324i
\(445\) −0.314953 + 4.80526i −0.0149302 + 0.227791i
\(446\) −20.9211 0.806577i −0.990644 0.0381925i
\(447\) 16.4954 9.28526i 0.780204 0.439178i
\(448\) −5.68829 12.6258i −0.268746 0.596513i
\(449\) 27.3990 1.29304 0.646521 0.762897i \(-0.276223\pi\)
0.646521 + 0.762897i \(0.276223\pi\)
\(450\) 2.85418 + 0.172440i 0.134547 + 0.00812889i
\(451\) −3.75301 2.50768i −0.176722 0.118082i
\(452\) −4.11243 4.80072i −0.193433 0.225807i
\(453\) 15.6004 + 13.9850i 0.732970 + 0.657074i
\(454\) −7.93305 5.75478i −0.372316 0.270085i
\(455\) 25.5711 3.36650i 1.19879 0.157824i
\(456\) 7.71498 13.4993i 0.361287 0.632165i
\(457\) 9.50296 + 1.25109i 0.444530 + 0.0585234i 0.349469 0.936948i \(-0.386362\pi\)
0.0950608 + 0.995471i \(0.469695\pi\)
\(458\) −5.82866 + 6.15119i −0.272356 + 0.287426i
\(459\) 25.2586 15.7072i 1.17897 0.733150i
\(460\) 7.73855 + 10.3314i 0.360812 + 0.481705i
\(461\) 9.32268 27.4637i 0.434201 1.27911i −0.481215 0.876603i \(-0.659804\pi\)
0.915415 0.402511i \(-0.131862\pi\)
\(462\) −1.94142 + 1.34267i −0.0903230 + 0.0624665i
\(463\) 6.82162 25.4586i 0.317027 1.18316i −0.605060 0.796180i \(-0.706851\pi\)
0.922087 0.386982i \(-0.126483\pi\)
\(464\) 3.11137 3.38579i 0.144442 0.157182i
\(465\) −11.6914 + 2.99644i −0.542175 + 0.138957i
\(466\) −17.0688 + 20.5537i −0.790696 + 0.952133i
\(467\) 3.08217 + 15.4951i 0.142626 + 0.717029i 0.984224 + 0.176925i \(0.0566151\pi\)
−0.841598 + 0.540104i \(0.818385\pi\)
\(468\) −17.6688 33.1119i −0.816739 1.53060i
\(469\) −5.60052 + 3.74215i −0.258608 + 0.172796i
\(470\) −10.8639 + 20.0439i −0.501113 + 0.924557i
\(471\) 7.76229 9.89080i 0.357667 0.455744i
\(472\) 23.9227 5.14015i 1.10113 0.236595i
\(473\) −0.837248 6.35953i −0.0384967 0.292412i
\(474\) −3.38936 22.9047i −0.155679 1.05205i
\(475\) −1.60821 1.41036i −0.0737896 0.0647117i
\(476\) −13.2387 + 14.7467i −0.606797 + 0.675914i
\(477\) −9.10708 + 13.0065i −0.416985 + 0.595525i
\(478\) 33.1075 7.51708i 1.51430 0.343823i
\(479\) 29.2854 + 16.9079i 1.33809 + 0.772544i 0.986523 0.163621i \(-0.0523174\pi\)
0.351562 + 0.936165i \(0.385651\pi\)
\(480\) 12.8258 + 19.4987i 0.585415 + 0.889990i
\(481\) 43.1196 24.8951i 1.96609 1.13512i
\(482\) −0.464297 + 0.429826i −0.0211482 + 0.0195780i
\(483\) −6.70498 4.58666i −0.305087 0.208700i
\(484\) −9.67834 + 19.0641i −0.439925 + 0.866551i
\(485\) 6.29912 31.6678i 0.286028 1.43796i
\(486\) 12.9325 + 17.8536i 0.586630 + 0.809855i
\(487\) −13.0389 5.40088i −0.590848 0.244737i 0.0671673 0.997742i \(-0.478604\pi\)
−0.658015 + 0.753004i \(0.728604\pi\)
\(488\) 6.98452 + 19.5862i 0.316174 + 0.886624i
\(489\) 11.9227 + 29.6958i 0.539163 + 1.34289i
\(490\) −11.4943 + 7.05536i −0.519260 + 0.318729i
\(491\) 6.06287 + 2.98988i 0.273613 + 0.134931i 0.573920 0.818912i \(-0.305422\pi\)
−0.300306 + 0.953843i \(0.597089\pi\)
\(492\) 7.87843 26.9588i 0.355187 1.21540i
\(493\) −6.23122 2.11522i −0.280640 0.0952645i
\(494\) −4.73430 + 27.6740i −0.213006 + 1.24511i
\(495\) 2.87372 2.75103i 0.129164 0.123650i
\(496\) −9.11531 7.33711i −0.409289 0.329446i
\(497\) −7.77410 + 2.08306i −0.348716 + 0.0934381i
\(498\) 14.4467 30.5172i 0.647370 1.36751i
\(499\) −7.96612 9.08362i −0.356612 0.406639i 0.545520 0.838098i \(-0.316332\pi\)
−0.902132 + 0.431459i \(0.857999\pi\)
\(500\) −19.1309 + 7.66509i −0.855558 + 0.342793i
\(501\) −6.98484 3.53975i −0.312060 0.158144i
\(502\) −11.1546 + 3.31306i −0.497852 + 0.147869i
\(503\) 16.0329 + 38.7069i 0.714873 + 1.72585i 0.687451 + 0.726231i \(0.258730\pi\)
0.0274218 + 0.999624i \(0.491270\pi\)
\(504\) −11.5943 9.01719i −0.516452 0.401658i
\(505\) −11.4234 + 27.5786i −0.508336 + 1.22723i
\(506\) 2.12171 + 0.221422i 0.0943213 + 0.00984341i
\(507\) 33.6962 + 30.2072i 1.49650 + 1.34155i
\(508\) −14.6818 + 21.4297i −0.651401 + 0.950788i
\(509\) 1.28475 19.6016i 0.0569457 0.868824i −0.869864 0.493292i \(-0.835793\pi\)
0.926810 0.375532i \(-0.122540\pi\)
\(510\) 18.1087 28.0641i 0.801867 1.24270i
\(511\) 13.4321 23.2651i 0.594202 1.02919i
\(512\) −7.69098 + 21.2802i −0.339897 + 0.940463i
\(513\) 0.539406 16.4828i 0.0238154 0.727732i
\(514\) −19.8385 12.4967i −0.875037 0.551207i
\(515\) 20.0788 9.90175i 0.884776 0.436323i
\(516\) 36.1858 16.8426i 1.59299 0.741455i
\(517\) 1.21110 + 3.56778i 0.0532640 + 0.156911i
\(518\) 11.4418 15.7727i 0.502725 0.693013i
\(519\) 22.8397 17.1331i 1.00255 0.752060i
\(520\) −33.8230 25.1408i −1.48324 1.10250i
\(521\) 12.5535 + 30.3068i 0.549979 + 1.32777i 0.917495 + 0.397748i \(0.130208\pi\)
−0.367516 + 0.930017i \(0.619792\pi\)
\(522\) 1.23824 4.71741i 0.0541964 0.206476i
\(523\) −3.85072 5.76301i −0.168380 0.251999i 0.737677 0.675154i \(-0.235923\pi\)
−0.906057 + 0.423155i \(0.860923\pi\)
\(524\) −3.81002 2.99449i −0.166441 0.130815i
\(525\) −1.53365 + 1.31567i −0.0669341 + 0.0574206i
\(526\) 20.0387 + 9.22007i 0.873727 + 0.402014i
\(527\) −4.33404 + 16.1748i −0.188794 + 0.704587i
\(528\) 3.80458 + 0.633675i 0.165573 + 0.0275772i
\(529\) −4.05270 15.1249i −0.176204 0.657603i
\(530\) −3.00642 + 17.5738i −0.130591 + 0.763357i
\(531\) 19.8810 16.6824i 0.862762 0.723955i
\(532\) 2.72033 + 10.6457i 0.117941 + 0.461548i
\(533\) 3.31699 + 50.6075i 0.143675 + 2.19205i
\(534\) −2.40702 + 4.32764i −0.104162 + 0.187275i
\(535\) 18.4389 + 14.1487i 0.797184 + 0.611701i
\(536\) 10.8261 + 1.98179i 0.467617 + 0.0856004i
\(537\) −6.54848 + 15.3343i −0.282588 + 0.661724i
\(538\) 5.66306 4.59276i 0.244152 0.198008i
\(539\) −0.434828 + 2.18603i −0.0187294 + 0.0941590i
\(540\) 21.6947 + 11.9218i 0.933589 + 0.513034i
\(541\) 6.71295 10.0466i 0.288612 0.431939i −0.658625 0.752471i \(-0.728862\pi\)
0.947238 + 0.320532i \(0.103862\pi\)
\(542\) 0.120047 + 0.0371787i 0.00515645 + 0.00159696i
\(543\) 5.23995 + 0.0571418i 0.224868 + 0.00245219i
\(544\) 32.3040 2.23670i 1.38502 0.0958978i
\(545\) −9.84840 + 5.68597i −0.421859 + 0.243560i
\(546\) 25.2481 + 8.12215i 1.08052 + 0.347596i
\(547\) 7.81531 + 15.8479i 0.334159 + 0.677607i 0.997497 0.0707131i \(-0.0225275\pi\)
−0.663338 + 0.748320i \(0.730861\pi\)
\(548\) 5.32106 5.92716i 0.227305 0.253196i
\(549\) 16.2612 + 14.9005i 0.694013 + 0.635936i
\(550\) 0.189790 0.495510i 0.00809269 0.0211286i
\(551\) −2.89456 + 2.22108i −0.123313 + 0.0946210i
\(552\) 2.64679 + 13.0074i 0.112655 + 0.553632i
\(553\) 12.9812 + 9.96085i 0.552018 + 0.423578i
\(554\) −19.4562 31.6972i −0.826614 1.34669i
\(555\) −14.8452 + 29.2935i −0.630146 + 1.24344i
\(556\) 7.36015 + 13.0972i 0.312140 + 0.555447i
\(557\) 1.85741 + 9.33784i 0.0787011 + 0.395657i 0.999977 + 0.00674798i \(0.00214797\pi\)
−0.921276 + 0.388909i \(0.872852\pi\)
\(558\) −12.1849 2.35911i −0.515828 0.0998690i
\(559\) −50.9629 + 50.9629i −2.15550 + 2.15550i
\(560\) −16.0970 3.59261i −0.680222 0.151815i
\(561\) −1.37036 5.34679i −0.0578565 0.225742i
\(562\) 4.63359 10.0705i 0.195456 0.424799i
\(563\) 6.84387 + 7.80394i 0.288435 + 0.328897i 0.877852 0.478932i \(-0.158976\pi\)
−0.589417 + 0.807829i \(0.700643\pi\)
\(564\) −18.9166 + 13.8497i −0.796531 + 0.583176i
\(565\) −7.51259 + 0.492401i −0.316057 + 0.0207155i
\(566\) 22.9956 24.2681i 0.966579 1.02006i
\(567\) −15.3424 2.70504i −0.644319 0.113601i
\(568\) 11.4882 + 6.40044i 0.482035 + 0.268557i
\(569\) 14.2004 + 18.5063i 0.595310 + 0.775823i 0.989706 0.143118i \(-0.0457128\pi\)
−0.394396 + 0.918941i \(0.629046\pi\)
\(570\) −7.35963 16.9930i −0.308261 0.711757i
\(571\) −6.28615 18.5184i −0.263067 0.774970i −0.995554 0.0941897i \(-0.969974\pi\)
0.732487 0.680781i \(-0.238359\pi\)
\(572\) −6.84612 + 1.27928i −0.286251 + 0.0534893i
\(573\) −10.1766 21.2163i −0.425135 0.886325i
\(574\) 9.25446 + 17.5585i 0.386274 + 0.732876i
\(575\) 1.82613 0.0761548
\(576\) 3.34155 + 23.7662i 0.139231 + 0.990260i
\(577\) 7.60665 0.316669 0.158334 0.987386i \(-0.449388\pi\)
0.158334 + 0.987386i \(0.449388\pi\)
\(578\) −10.3969 19.7260i −0.432453 0.820493i
\(579\) −34.3216 2.62571i −1.42636 0.109121i
\(580\) −1.00595 5.38339i −0.0417698 0.223533i
\(581\) 7.66962 + 22.5940i 0.318189 + 0.937356i
\(582\) 19.7883 26.6619i 0.820253 1.10517i
\(583\) 1.79368 + 2.33757i 0.0742868 + 0.0968124i
\(584\) −42.2213 + 12.0083i −1.74713 + 0.496908i
\(585\) −44.1795 6.79954i −1.82660 0.281126i
\(586\) −11.7676 + 12.4188i −0.486115 + 0.513014i
\(587\) −33.2547 + 2.17963i −1.37257 + 0.0899629i −0.733763 0.679406i \(-0.762238\pi\)
−0.638805 + 0.769368i \(0.720571\pi\)
\(588\) −13.7876 + 1.50014i −0.568593 + 0.0618646i
\(589\) 6.12168 + 6.98044i 0.252239 + 0.287624i
\(590\) 12.1812 26.4744i 0.501494 1.08993i
\(591\) −0.648077 + 0.634095i −0.0266583 + 0.0260832i
\(592\) −31.3635 + 5.48432i −1.28903 + 0.225404i
\(593\) 5.93396 5.93396i 0.243678 0.243678i −0.574692 0.818370i \(-0.694878\pi\)
0.818370 + 0.574692i \(0.194878\pi\)
\(594\) 3.88140 1.29251i 0.159256 0.0530323i
\(595\) 4.60464 + 23.1491i 0.188772 + 0.949021i
\(596\) 19.0548 10.7081i 0.780517 0.438621i
\(597\) −10.6437 16.3118i −0.435620 0.667597i
\(598\) −12.5388 20.4277i −0.512750 0.835351i
\(599\) 17.0913 + 13.1146i 0.698331 + 0.535848i 0.895798 0.444461i \(-0.146605\pi\)
−0.197467 + 0.980310i \(0.563272\pi\)
\(600\) 3.29558 + 0.201469i 0.134541 + 0.00822493i
\(601\) 12.6143 9.67927i 0.514547 0.394826i −0.318590 0.947893i \(-0.603209\pi\)
0.833137 + 0.553067i \(0.186543\pi\)
\(602\) −10.0887 + 26.3400i −0.411187 + 1.07354i
\(603\) 11.1333 3.51041i 0.453384 0.142955i
\(604\) 18.0022 + 16.1614i 0.732501 + 0.657597i
\(605\) 11.2624 + 22.8378i 0.457881 + 0.928490i
\(606\) −22.7519 + 20.6066i −0.924232 + 0.837084i
\(607\) −16.6065 + 9.58776i −0.674036 + 0.389155i −0.797604 0.603181i \(-0.793900\pi\)
0.123568 + 0.992336i \(0.460566\pi\)
\(608\) 8.91962 15.5813i 0.361738 0.631907i
\(609\) 1.69066 + 3.00348i 0.0685090 + 0.121707i
\(610\) 23.6575 + 7.32676i 0.957863 + 0.296652i
\(611\) 23.5197 35.1997i 0.951504 1.42403i
\(612\) 29.1791 18.1163i 1.17949 0.732308i
\(613\) −8.72091 + 43.8430i −0.352234 + 1.77080i 0.245790 + 0.969323i \(0.420953\pi\)
−0.598024 + 0.801478i \(0.704047\pi\)
\(614\) −33.9820 + 27.5595i −1.37140 + 1.11221i
\(615\) −20.0731 26.7590i −0.809425 1.07903i
\(616\) −2.24286 + 1.54878i −0.0903676 + 0.0624021i
\(617\) 2.70948 + 2.07906i 0.109080 + 0.0836998i 0.661861 0.749627i \(-0.269767\pi\)
−0.552781 + 0.833326i \(0.686434\pi\)
\(618\) 23.0188 0.368589i 0.925953 0.0148268i
\(619\) 0.835080 + 12.7409i 0.0335647 + 0.512098i 0.981231 + 0.192836i \(0.0617685\pi\)
−0.947666 + 0.319263i \(0.896565\pi\)
\(620\) −13.5025 + 3.45036i −0.542274 + 0.138570i
\(621\) 8.93185 + 10.8832i 0.358423 + 0.436729i
\(622\) 3.86233 22.5770i 0.154865 0.905254i
\(623\) −0.905728 3.38022i −0.0362872 0.135426i
\(624\) −20.3748 38.2489i −0.815647 1.53118i
\(625\) −7.22509 + 26.9644i −0.289003 + 1.07858i
\(626\) −21.4354 9.86273i −0.856731 0.394194i
\(627\) −2.88702 1.01525i −0.115297 0.0405453i
\(628\) 8.97127 11.4145i 0.357992 0.455488i
\(629\) 25.3141 + 37.8853i 1.00934 + 1.51059i
\(630\) −16.8741 + 4.61388i −0.672280 + 0.183821i
\(631\) −10.3752 25.0479i −0.413029 0.997141i −0.984320 0.176393i \(-0.943557\pi\)
0.571290 0.820748i \(-0.306443\pi\)
\(632\) −3.89482 26.4508i −0.154928 1.05216i
\(633\) 3.20503 + 26.5813i 0.127388 + 1.05651i
\(634\) −16.3059 + 22.4779i −0.647591 + 0.892713i
\(635\) 9.94480 + 29.2964i 0.394647 + 1.16259i
\(636\) −10.5267 + 15.0111i −0.417410 + 0.595228i
\(637\) 22.4608 11.0764i 0.889930 0.438865i
\(638\) −0.765791 0.482391i −0.0303180 0.0190980i
\(639\) 13.9453 + 0.304183i 0.551666 + 0.0120333i
\(640\) 14.7939 + 22.5257i 0.584780 + 0.890407i
\(641\) 13.6857 23.7044i 0.540553 0.936266i −0.458319 0.888788i \(-0.651548\pi\)
0.998872 0.0474779i \(-0.0151184\pi\)
\(642\) 10.9126 + 21.2634i 0.430687 + 0.839201i
\(643\) −0.983277 + 15.0019i −0.0387767 + 0.591617i 0.933617 + 0.358272i \(0.116634\pi\)
−0.972394 + 0.233345i \(0.925033\pi\)
\(644\) −7.73846 5.30174i −0.304938 0.208918i
\(645\) 9.78189 46.5198i 0.385161 1.83172i
\(646\) −25.5543 2.66685i −1.00542 0.104926i
\(647\) 16.4307 39.6673i 0.645959 1.55948i −0.172557 0.985000i \(-0.555203\pi\)
0.818516 0.574484i \(-0.194797\pi\)
\(648\) 14.9184 + 20.6262i 0.586052 + 0.810274i
\(649\) −1.84303 4.44948i −0.0723454 0.174657i
\(650\) −5.71522 + 1.69750i −0.224170 + 0.0665815i
\(651\) 7.34528 4.79293i 0.287884 0.187850i
\(652\) 13.7427 + 34.2996i 0.538205 + 1.34327i
\(653\) 24.0220 + 27.3918i 0.940053 + 1.07193i 0.997290 + 0.0735646i \(0.0234375\pi\)
−0.0572373 + 0.998361i \(0.518229\pi\)
\(654\) −11.6553 + 0.951561i −0.455760 + 0.0372090i
\(655\) −5.57489 + 1.49379i −0.217829 + 0.0583670i
\(656\) 9.11945 31.1228i 0.356055 1.21514i
\(657\) −33.6319 + 32.1961i −1.31211 + 1.25609i
\(658\) 2.79373 16.3305i 0.108911 0.636631i
\(659\) −12.1319 4.11823i −0.472593 0.160424i 0.0749743 0.997185i \(-0.476113\pi\)
−0.547567 + 0.836762i \(0.684446\pi\)
\(660\) 3.32056 3.17425i 0.129252 0.123557i
\(661\) 21.1540 + 10.4320i 0.822794 + 0.405757i 0.804410 0.594074i \(-0.202481\pi\)
0.0183835 + 0.999831i \(0.494148\pi\)
\(662\) −14.6927 + 9.01857i −0.571048 + 0.350517i
\(663\) −38.2887 + 48.7879i −1.48701 + 1.89476i
\(664\) 16.7067 35.2263i 0.648346 1.36704i
\(665\) 12.0903 + 5.00796i 0.468841 + 0.194200i
\(666\) −26.6868 + 20.6949i −1.03409 + 0.801910i
\(667\) 0.607668 3.05495i 0.0235290 0.118288i
\(668\) −8.06248 4.09311i −0.311947 0.158367i
\(669\) −23.1200 + 11.0898i −0.893871 + 0.428755i
\(670\) 9.61910 8.90494i 0.371618 0.344028i
\(671\) 3.54451 2.04643i 0.136834 0.0790014i
\(672\) −13.3805 10.4217i −0.516165 0.402026i
\(673\) 18.4880 + 10.6740i 0.712658 + 0.411453i 0.812044 0.583596i \(-0.198355\pi\)
−0.0993863 + 0.995049i \(0.531688\pi\)
\(674\) −4.66990 + 1.06030i −0.179878 + 0.0408413i
\(675\) 3.18984 1.44534i 0.122777 0.0556312i
\(676\) 38.8842 + 34.9080i 1.49554 + 1.34261i
\(677\) 24.0952 + 21.1309i 0.926053 + 0.812127i 0.982497 0.186279i \(-0.0596429\pi\)
−0.0564440 + 0.998406i \(0.517976\pi\)
\(678\) −7.19919 2.84784i −0.276483 0.109370i
\(679\) 3.06264 + 23.2631i 0.117533 + 0.892754i
\(680\) 20.9333 32.3907i 0.802754 1.24213i
\(681\) −11.8827 1.69640i −0.455346 0.0650063i
\(682\) −1.09747 + 2.02484i −0.0420243 + 0.0775352i
\(683\) 0.779177 0.520630i 0.0298144 0.0199213i −0.540574 0.841297i \(-0.681793\pi\)
0.570388 + 0.821375i \(0.306793\pi\)
\(684\) 0.636437 19.0322i 0.0243348 0.727715i
\(685\) −1.85075 9.30434i −0.0707135 0.355501i
\(686\) 17.2093 20.7229i 0.657054 0.791205i
\(687\) −2.79534 + 9.99508i −0.106649 + 0.381336i
\(688\) 41.7977 19.4184i 1.59352 0.740318i
\(689\) 8.56856 31.9783i 0.326436 1.21828i
\(690\) 14.2891 + 6.76439i 0.543977 + 0.257516i
\(691\) 10.6658 31.4203i 0.405745 1.19529i −0.531634 0.846974i \(-0.678422\pi\)
0.937379 0.348312i \(-0.113245\pi\)
\(692\) 26.3872 19.7648i 1.00309 0.751344i
\(693\) −1.33489 + 2.56435i −0.0507083 + 0.0974114i
\(694\) −9.30387 + 9.81869i −0.353170 + 0.372713i
\(695\) 17.7401 + 2.33553i 0.672921 + 0.0885918i
\(696\) 1.43369 5.44618i 0.0543438 0.206437i
\(697\) −46.0144 + 6.05791i −1.74292 + 0.229460i
\(698\) −15.5914 11.3103i −0.590142 0.428100i
\(699\) −6.73323 + 32.0213i −0.254674 + 1.21116i
\(700\) −1.77199 + 1.51794i −0.0669751 + 0.0573728i
\(701\) −26.3339 17.5958i −0.994619 0.664583i −0.0520672 0.998644i \(-0.516581\pi\)
−0.942552 + 0.334061i \(0.891581\pi\)
\(702\) −38.0706 25.7585i −1.43688 0.972193i
\(703\) 25.2630 0.952813
\(704\) 4.39262 + 0.734841i 0.165553 + 0.0276953i
\(705\) −0.304479 + 27.9210i −0.0114673 + 1.05156i
\(706\) −0.310131 0.0119565i −0.0116719 0.000449990i
\(707\) 1.41876 21.6461i 0.0533581 0.814087i
\(708\) 22.9704 19.2468i 0.863279 0.723339i
\(709\) 31.6534 36.0938i 1.18877 1.35553i 0.268966 0.963150i \(-0.413318\pi\)
0.919803 0.392381i \(-0.128349\pi\)
\(710\) 14.3039 6.38113i 0.536816 0.239480i
\(711\) −16.7684 22.8689i −0.628866 0.857651i
\(712\) −2.78295 + 4.99514i −0.104295 + 0.187201i
\(713\) −7.85851 1.03459i −0.294303 0.0387458i
\(714\) −5.90571 + 23.5418i −0.221016 + 0.881030i
\(715\) −3.66874 + 7.43946i −0.137203 + 0.278220i
\(716\) −7.57417 + 17.7011i −0.283060 + 0.661522i
\(717\) 31.5588 27.0733i 1.17859 1.01107i
\(718\) −43.3709 + 4.01741i −1.61859 + 0.149928i
\(719\) −11.5346 11.5346i −0.430169 0.430169i 0.458517 0.888686i \(-0.348381\pi\)
−0.888686 + 0.458517i \(0.848381\pi\)
\(720\) 25.0410 + 13.7840i 0.933223 + 0.513700i
\(721\) −11.5039 + 11.5039i −0.428428 + 0.428428i
\(722\) 8.06552 9.71226i 0.300168 0.361453i
\(723\) −0.257073 + 0.731024i −0.00956064 + 0.0271871i
\(724\) 6.05052 + 0.0703004i 0.224866 + 0.00261269i
\(725\) −0.694868 0.342671i −0.0258068 0.0127265i
\(726\) 0.419238 + 26.1819i 0.0155594 + 0.971701i
\(727\) −3.30209 + 25.0819i −0.122468 + 0.930236i 0.814339 + 0.580389i \(0.197100\pi\)
−0.936807 + 0.349847i \(0.886234\pi\)
\(728\) 29.1473 + 9.39946i 1.08027 + 0.348367i
\(729\) 24.2158 + 11.9413i 0.896883 + 0.442269i
\(730\) −18.6996 + 48.8214i −0.692102 + 1.80696i
\(731\) −49.5877 43.4873i −1.83407 1.60843i
\(732\) 18.7646 + 17.2190i 0.693559 + 0.636431i
\(733\) 10.9137 + 0.715325i 0.403108 + 0.0264211i 0.265609 0.964081i \(-0.414427\pi\)
0.137499 + 0.990502i \(0.456094\pi\)
\(734\) −22.8462 24.6784i −0.843269 0.910898i
\(735\) −8.41452 + 14.2141i −0.310374 + 0.524296i
\(736\) 3.04552 + 15.0218i 0.112259 + 0.553712i
\(737\) 2.16627i 0.0797955i
\(738\) −6.88304 33.7030i −0.253368 1.24062i
\(739\) 10.2243 15.3017i 0.376106 0.562882i −0.594336 0.804217i \(-0.702585\pi\)
0.970442 + 0.241334i \(0.0775851\pi\)
\(740\) −17.1660 + 33.8130i −0.631033 + 1.24299i
\(741\) 10.6973 + 32.6797i 0.392975 + 1.20052i
\(742\) −2.03624 12.7954i −0.0747527 0.469733i
\(743\) −3.70091 28.1112i −0.135773 1.03130i −0.914685 0.404167i \(-0.867562\pi\)
0.778912 0.627133i \(-0.215772\pi\)
\(744\) −14.0680 2.73411i −0.515757 0.100237i
\(745\) 3.39791 25.8097i 0.124490 0.945593i
\(746\) −0.531144 19.7288i −0.0194466 0.722324i
\(747\) −1.80406 41.3128i −0.0660073 1.51156i
\(748\) −1.57794 6.17507i −0.0576953 0.225783i
\(749\) −15.9934 5.42903i −0.584386 0.198372i
\(750\) −16.3367 + 19.2413i −0.596531 + 0.702594i
\(751\) −32.3156 8.65895i −1.17921 0.315970i −0.384600 0.923083i \(-0.625660\pi\)
−0.794615 + 0.607114i \(0.792327\pi\)
\(752\) −21.8544 + 15.9766i −0.796947 + 0.582607i
\(753\) −10.1865 + 9.96674i −0.371217 + 0.363208i
\(754\) 0.937958 + 10.1259i 0.0341584 + 0.368765i
\(755\) 28.2596 5.62118i 1.02847 0.204576i
\(756\) −17.7136 3.13615i −0.644238 0.114061i
\(757\) −20.3294 30.4250i −0.738883 1.10582i −0.990436 0.137973i \(-0.955941\pi\)
0.251553 0.967844i \(-0.419059\pi\)
\(758\) 42.6290 12.6614i 1.54836 0.459883i
\(759\) 2.42454 0.973442i 0.0880053 0.0353337i
\(760\) −8.48416 19.6278i −0.307753 0.711977i
\(761\) 20.0013 2.63321i 0.725045 0.0954540i 0.241035 0.970516i \(-0.422513\pi\)
0.484010 + 0.875062i \(0.339180\pi\)
\(762\) −3.64712 + 31.6051i −0.132121 + 1.14493i
\(763\) 5.44882 6.21318i 0.197260 0.224932i
\(764\) −11.7335 24.5069i −0.424503 0.886628i
\(765\) 3.56487 40.7501i 0.128888 1.47332i
\(766\) −3.27755 2.06461i −0.118423 0.0745975i
\(767\) −27.0568 + 46.8637i −0.976963 + 1.69215i
\(768\) 3.83890 + 27.4456i 0.138525 + 0.990359i
\(769\) −2.07614 3.59598i −0.0748676 0.129674i 0.826161 0.563434i \(-0.190520\pi\)
−0.901029 + 0.433760i \(0.857187\pi\)
\(770\) −0.125061 + 3.24385i −0.00450687 + 0.116900i
\(771\) −28.6322 2.19045i −1.03116 0.0788872i
\(772\) −39.6290 3.06020i −1.42628