Properties

Label 731.2.p.a.16.13
Level 731
Weight 2
Character 731.16
Analytic conductor 5.837
Analytic rank 0
Dimension 384
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.p (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(384\)
Relative dimension: \(64\) over \(\Q(\zeta_{14})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 16.13
Character \(\chi\) = 731.16
Dual form 731.2.p.a.594.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.456593 - 2.00046i) q^{2} +(-2.15206 - 0.491193i) q^{3} +(-1.99144 + 0.959029i) q^{4} +(0.261751 - 0.208739i) q^{5} +4.52939i q^{6} -2.19293i q^{7} +(0.269092 + 0.337431i) q^{8} +(1.68717 + 0.812500i) q^{9} +O(q^{10})\) \(q+(-0.456593 - 2.00046i) q^{2} +(-2.15206 - 0.491193i) q^{3} +(-1.99144 + 0.959029i) q^{4} +(0.261751 - 0.208739i) q^{5} +4.52939i q^{6} -2.19293i q^{7} +(0.269092 + 0.337431i) q^{8} +(1.68717 + 0.812500i) q^{9} +(-0.537089 - 0.428314i) q^{10} +(-2.76544 + 5.74249i) q^{11} +(4.75677 - 1.08570i) q^{12} +(0.214622 + 0.269128i) q^{13} +(-4.38687 + 1.00128i) q^{14} +(-0.665834 + 0.320649i) q^{15} +(-2.20409 + 2.76384i) q^{16} +(-0.776701 - 4.04929i) q^{17} +(0.855026 - 3.74611i) q^{18} +(3.02913 - 1.45875i) q^{19} +(-0.321075 + 0.666719i) q^{20} +(-1.07715 + 4.71931i) q^{21} +(12.7503 + 2.91018i) q^{22} +(-3.29886 + 6.85015i) q^{23} +(-0.413358 - 0.858346i) q^{24} +(-1.08766 + 4.76536i) q^{25} +(0.440386 - 0.552227i) q^{26} +(1.94565 + 1.55160i) q^{27} +(2.10308 + 4.36709i) q^{28} +(-2.27161 + 0.518480i) q^{29} +(0.945462 + 1.18557i) q^{30} +(-2.10853 + 0.481258i) q^{31} +(7.31304 + 3.52177i) q^{32} +(8.77205 - 10.9998i) q^{33} +(-7.74582 + 3.40264i) q^{34} +(-0.457750 - 0.574001i) q^{35} -4.13912 q^{36} -2.37210i q^{37} +(-4.30125 - 5.39360i) q^{38} +(-0.329686 - 0.684600i) q^{39} +(0.140870 + 0.0321527i) q^{40} +(10.8882 - 2.48517i) q^{41} +9.93262 q^{42} +(-3.34663 - 5.63916i) q^{43} -14.0880i q^{44} +(0.611220 - 0.139507i) q^{45} +(15.2097 + 3.47152i) q^{46} +(7.97024 - 3.83826i) q^{47} +(6.10091 - 4.86531i) q^{48} +2.19107 q^{49} +10.0296 q^{50} +(-0.317478 + 9.09581i) q^{51} +(-0.685510 - 0.330124i) q^{52} +(-3.47994 + 4.36370i) q^{53} +(2.21555 - 4.60065i) q^{54} +(0.474828 + 2.08036i) q^{55} +(0.739961 - 0.590099i) q^{56} +(-7.23538 + 1.65143i) q^{57} +(2.07440 + 4.30754i) q^{58} +(-6.09251 + 7.63976i) q^{59} +(1.01846 - 1.27711i) q^{60} +(-9.09658 - 2.07623i) q^{61} +(1.92548 + 3.99830i) q^{62} +(1.78175 - 3.69985i) q^{63} +(2.13284 - 9.34458i) q^{64} +(0.112355 + 0.0256443i) q^{65} +(-26.0100 - 12.5257i) q^{66} +(2.97614 - 1.43323i) q^{67} +(5.43014 + 7.31905i) q^{68} +(10.4641 - 13.1215i) q^{69} +(-0.939262 + 1.17780i) q^{70} +(2.05473 + 4.26669i) q^{71} +(0.179843 + 0.787942i) q^{72} +(6.34691 - 5.06150i) q^{73} +(-4.74530 + 1.08308i) q^{74} +(4.68143 - 9.72109i) q^{75} +(-4.63335 + 5.81004i) q^{76} +(12.5929 + 6.06440i) q^{77} +(-1.21899 + 0.972109i) q^{78} +1.46516i q^{79} +1.18352i q^{80} +(-6.92769 - 8.68705i) q^{81} +(-9.94299 - 20.6468i) q^{82} +(-2.22779 + 9.76057i) q^{83} +(-2.38086 - 10.4313i) q^{84} +(-1.04855 - 0.897777i) q^{85} +(-9.75288 + 9.26961i) q^{86} +5.14331 q^{87} +(-2.68185 + 0.612114i) q^{88} +(-2.94631 + 12.9086i) q^{89} +(-0.558158 - 1.15903i) q^{90} +(0.590178 - 0.470652i) q^{91} -16.8054i q^{92} +4.77407 q^{93} +(-11.3175 - 14.1917i) q^{94} +(0.488378 - 1.01413i) q^{95} +(-14.0082 - 11.1712i) q^{96} +(5.54489 - 11.5141i) q^{97} +(-1.00043 - 4.38316i) q^{98} +(-9.33155 + 7.44166i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 384q - 12q^{2} - 72q^{4} - 8q^{8} + 62q^{9} + O(q^{10}) \) \( 384q - 12q^{2} - 72q^{4} - 8q^{8} + 62q^{9} - 18q^{13} - 12q^{15} - 20q^{16} - 14q^{17} + 30q^{18} + 8q^{19} + 20q^{21} + 46q^{25} + 2q^{26} - 30q^{30} + 50q^{32} - 90q^{33} + 8q^{34} + 52q^{35} - 328q^{36} - 46q^{38} + 184q^{42} + 60q^{43} - 2q^{47} - 340q^{49} - 172q^{50} - 68q^{51} + 38q^{52} - 8q^{53} - 28q^{55} + 10q^{59} + 58q^{60} - 44q^{64} + 90q^{66} - 104q^{67} + 60q^{68} - 2q^{69} + 40q^{70} - 164q^{72} - 72q^{76} + 94q^{77} + 120q^{81} - 66q^{83} + 112q^{84} - 96q^{85} - 136q^{86} + 72q^{87} - 6q^{89} - 220q^{93} - 142q^{94} + 124q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(-1\) \(e\left(\frac{4}{7}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.456593 2.00046i −0.322860 1.41454i −0.832438 0.554118i \(-0.813056\pi\)
0.509578 0.860424i \(-0.329801\pi\)
\(3\) −2.15206 0.491193i −1.24249 0.283590i −0.449753 0.893153i \(-0.648488\pi\)
−0.792738 + 0.609563i \(0.791345\pi\)
\(4\) −1.99144 + 0.959029i −0.995722 + 0.479514i
\(5\) 0.261751 0.208739i 0.117059 0.0933511i −0.563211 0.826313i \(-0.690434\pi\)
0.680270 + 0.732962i \(0.261863\pi\)
\(6\) 4.52939i 1.84912i
\(7\) 2.19293i 0.828849i −0.910084 0.414424i \(-0.863983\pi\)
0.910084 0.414424i \(-0.136017\pi\)
\(8\) 0.269092 + 0.337431i 0.0951384 + 0.119300i
\(9\) 1.68717 + 0.812500i 0.562392 + 0.270833i
\(10\) −0.537089 0.428314i −0.169843 0.135445i
\(11\) −2.76544 + 5.74249i −0.833810 + 1.73143i −0.167332 + 0.985901i \(0.553515\pi\)
−0.666478 + 0.745525i \(0.732199\pi\)
\(12\) 4.75677 1.08570i 1.37316 0.313415i
\(13\) 0.214622 + 0.269128i 0.0595256 + 0.0746427i 0.810703 0.585458i \(-0.199085\pi\)
−0.751177 + 0.660100i \(0.770514\pi\)
\(14\) −4.38687 + 1.00128i −1.17244 + 0.267602i
\(15\) −0.665834 + 0.320649i −0.171918 + 0.0827912i
\(16\) −2.20409 + 2.76384i −0.551023 + 0.690961i
\(17\) −0.776701 4.04929i −0.188378 0.982097i
\(18\) 0.855026 3.74611i 0.201532 0.882968i
\(19\) 3.02913 1.45875i 0.694929 0.334660i −0.0528551 0.998602i \(-0.516832\pi\)
0.747784 + 0.663942i \(0.231118\pi\)
\(20\) −0.321075 + 0.666719i −0.0717946 + 0.149083i
\(21\) −1.07715 + 4.71931i −0.235054 + 1.02984i
\(22\) 12.7503 + 2.91018i 2.71838 + 0.620452i
\(23\) −3.29886 + 6.85015i −0.687859 + 1.42835i 0.205339 + 0.978691i \(0.434170\pi\)
−0.893198 + 0.449664i \(0.851544\pi\)
\(24\) −0.413358 0.858346i −0.0843763 0.175209i
\(25\) −1.08766 + 4.76536i −0.217533 + 0.953073i
\(26\) 0.440386 0.552227i 0.0863668 0.108301i
\(27\) 1.94565 + 1.55160i 0.374440 + 0.298606i
\(28\) 2.10308 + 4.36709i 0.397445 + 0.825303i
\(29\) −2.27161 + 0.518480i −0.421828 + 0.0962794i −0.428165 0.903701i \(-0.640840\pi\)
0.00633754 + 0.999980i \(0.497983\pi\)
\(30\) 0.945462 + 1.18557i 0.172617 + 0.216455i
\(31\) −2.10853 + 0.481258i −0.378703 + 0.0864365i −0.407635 0.913145i \(-0.633647\pi\)
0.0289320 + 0.999581i \(0.490789\pi\)
\(32\) 7.31304 + 3.52177i 1.29278 + 0.622568i
\(33\) 8.77205 10.9998i 1.52702 1.91482i
\(34\) −7.74582 + 3.40264i −1.32840 + 0.583548i
\(35\) −0.457750 0.574001i −0.0773739 0.0970238i
\(36\) −4.13912 −0.689854
\(37\) 2.37210i 0.389971i −0.980806 0.194985i \(-0.937534\pi\)
0.980806 0.194985i \(-0.0624660\pi\)
\(38\) −4.30125 5.39360i −0.697756 0.874958i
\(39\) −0.329686 0.684600i −0.0527920 0.109624i
\(40\) 0.140870 + 0.0321527i 0.0222735 + 0.00508378i
\(41\) 10.8882 2.48517i 1.70046 0.388118i 0.741341 0.671129i \(-0.234190\pi\)
0.959117 + 0.283010i \(0.0913331\pi\)
\(42\) 9.93262 1.53264
\(43\) −3.34663 5.63916i −0.510356 0.859963i
\(44\) 14.0880i 2.12384i
\(45\) 0.611220 0.139507i 0.0911153 0.0207965i
\(46\) 15.2097 + 3.47152i 2.24255 + 0.511847i
\(47\) 7.97024 3.83826i 1.16258 0.559868i 0.249790 0.968300i \(-0.419638\pi\)
0.912789 + 0.408432i \(0.133924\pi\)
\(48\) 6.10091 4.86531i 0.880591 0.702248i
\(49\) 2.19107 0.313010
\(50\) 10.0296 1.41839
\(51\) −0.317478 + 9.09581i −0.0444558 + 1.27367i
\(52\) −0.685510 0.330124i −0.0950632 0.0457800i
\(53\) −3.47994 + 4.36370i −0.478006 + 0.599401i −0.961111 0.276162i \(-0.910937\pi\)
0.483105 + 0.875562i \(0.339509\pi\)
\(54\) 2.21555 4.60065i 0.301499 0.626069i
\(55\) 0.474828 + 2.08036i 0.0640258 + 0.280515i
\(56\) 0.739961 0.590099i 0.0988814 0.0788553i
\(57\) −7.23538 + 1.65143i −0.958349 + 0.218737i
\(58\) 2.07440 + 4.30754i 0.272382 + 0.565608i
\(59\) −6.09251 + 7.63976i −0.793177 + 0.994612i 0.206692 + 0.978406i \(0.433730\pi\)
−0.999869 + 0.0162060i \(0.994841\pi\)
\(60\) 1.01846 1.27711i 0.131483 0.164874i
\(61\) −9.09658 2.07623i −1.16470 0.265835i −0.403887 0.914809i \(-0.632341\pi\)
−0.760810 + 0.648974i \(0.775198\pi\)
\(62\) 1.92548 + 3.99830i 0.244536 + 0.507785i
\(63\) 1.78175 3.69985i 0.224480 0.466137i
\(64\) 2.13284 9.34458i 0.266605 1.16807i
\(65\) 0.112355 + 0.0256443i 0.0139360 + 0.00318079i
\(66\) −26.0100 12.5257i −3.20161 1.54181i
\(67\) 2.97614 1.43323i 0.363593 0.175097i −0.243163 0.969986i \(-0.578185\pi\)
0.606756 + 0.794888i \(0.292471\pi\)
\(68\) 5.43014 + 7.31905i 0.658501 + 0.887565i
\(69\) 10.4641 13.1215i 1.25973 1.57965i
\(70\) −0.939262 + 1.17780i −0.112263 + 0.140774i
\(71\) 2.05473 + 4.26669i 0.243852 + 0.506363i 0.986590 0.163219i \(-0.0521876\pi\)
−0.742738 + 0.669582i \(0.766473\pi\)
\(72\) 0.179843 + 0.787942i 0.0211946 + 0.0928598i
\(73\) 6.34691 5.06150i 0.742850 0.592403i −0.177213 0.984172i \(-0.556708\pi\)
0.920064 + 0.391769i \(0.128137\pi\)
\(74\) −4.74530 + 1.08308i −0.551630 + 0.125906i
\(75\) 4.68143 9.72109i 0.540565 1.12249i
\(76\) −4.63335 + 5.81004i −0.531482 + 0.666457i
\(77\) 12.5929 + 6.06440i 1.43509 + 0.691103i
\(78\) −1.21899 + 0.972109i −0.138023 + 0.110070i
\(79\) 1.46516i 0.164843i 0.996598 + 0.0824215i \(0.0262654\pi\)
−0.996598 + 0.0824215i \(0.973735\pi\)
\(80\) 1.18352i 0.132321i
\(81\) −6.92769 8.68705i −0.769743 0.965228i
\(82\) −9.94299 20.6468i −1.09802 2.28006i
\(83\) −2.22779 + 9.76057i −0.244531 + 1.07136i 0.692308 + 0.721602i \(0.256594\pi\)
−0.936840 + 0.349759i \(0.886263\pi\)
\(84\) −2.38086 10.4313i −0.259774 1.13814i
\(85\) −1.04855 0.897777i −0.113731 0.0973775i
\(86\) −9.75288 + 9.26961i −1.05168 + 0.999568i
\(87\) 5.14331 0.551421
\(88\) −2.68185 + 0.612114i −0.285886 + 0.0652516i
\(89\) −2.94631 + 12.9086i −0.312308 + 1.36831i 0.538407 + 0.842685i \(0.319026\pi\)
−0.850715 + 0.525627i \(0.823831\pi\)
\(90\) −0.558158 1.15903i −0.0588350 0.122172i
\(91\) 0.590178 0.470652i 0.0618675 0.0493377i
\(92\) 16.8054i 1.75208i
\(93\) 4.77407 0.495048
\(94\) −11.3175 14.1917i −1.16731 1.46376i
\(95\) 0.488378 1.01413i 0.0501065 0.104047i
\(96\) −14.0082 11.1712i −1.42971 1.14015i
\(97\) 5.54489 11.5141i 0.562998 1.16908i −0.404110 0.914710i \(-0.632419\pi\)
0.967108 0.254367i \(-0.0818670\pi\)
\(98\) −1.00043 4.38316i −0.101058 0.442766i
\(99\) −9.33155 + 7.44166i −0.937856 + 0.747915i
\(100\) −2.40410 10.5331i −0.240410 1.05331i
\(101\) −14.2579 + 6.86625i −1.41872 + 0.683217i −0.976862 0.213870i \(-0.931393\pi\)
−0.441853 + 0.897087i \(0.645679\pi\)
\(102\) 18.3408 3.51798i 1.81601 0.348332i
\(103\) −8.03854 + 10.0800i −0.792060 + 0.993212i 0.207826 + 0.978166i \(0.433361\pi\)
−0.999887 + 0.0150466i \(0.995210\pi\)
\(104\) −0.0330589 + 0.144840i −0.00324169 + 0.0142028i
\(105\) 0.703160 + 1.46013i 0.0686214 + 0.142494i
\(106\) 10.3183 + 4.96905i 1.00221 + 0.482637i
\(107\) 3.95536 + 0.902785i 0.382379 + 0.0872756i 0.409390 0.912360i \(-0.365742\pi\)
−0.0270106 + 0.999635i \(0.508599\pi\)
\(108\) −5.36268 1.22400i −0.516024 0.117779i
\(109\) −4.75098 + 9.86551i −0.455061 + 0.944944i 0.539617 + 0.841911i \(0.318569\pi\)
−0.994678 + 0.103033i \(0.967145\pi\)
\(110\) 3.94488 1.89975i 0.376129 0.181134i
\(111\) −1.16516 + 5.10490i −0.110592 + 0.484535i
\(112\) 6.06091 + 4.83341i 0.572702 + 0.456714i
\(113\) −0.913924 0.728830i −0.0859748 0.0685626i 0.579559 0.814930i \(-0.303225\pi\)
−0.665534 + 0.746368i \(0.731796\pi\)
\(114\) 6.60725 + 13.7201i 0.618825 + 1.28500i
\(115\) 0.566417 + 2.48163i 0.0528186 + 0.231413i
\(116\) 4.02655 3.21106i 0.373856 0.298140i
\(117\) 0.143439 + 0.628447i 0.0132609 + 0.0580999i
\(118\) 18.0649 + 8.69958i 1.66301 + 0.800861i
\(119\) −8.87980 + 1.70325i −0.814010 + 0.156137i
\(120\) −0.287367 0.138389i −0.0262329 0.0126331i
\(121\) −18.4701 23.1608i −1.67910 2.10553i
\(122\) 19.1454i 1.73334i
\(123\) −24.6528 −2.22287
\(124\) 3.73748 2.98054i 0.335636 0.267660i
\(125\) 1.43633 + 2.98256i 0.128469 + 0.266768i
\(126\) −8.21496 1.87501i −0.731847 0.167039i
\(127\) 3.77538 + 16.5410i 0.335011 + 1.46778i 0.809292 + 0.587406i \(0.199851\pi\)
−0.474281 + 0.880374i \(0.657292\pi\)
\(128\) −3.43363 −0.303493
\(129\) 4.43222 + 13.7796i 0.390236 + 1.21323i
\(130\) 0.236472i 0.0207399i
\(131\) −5.25697 + 1.19987i −0.459304 + 0.104833i −0.445911 0.895077i \(-0.647120\pi\)
−0.0133927 + 0.999910i \(0.504263\pi\)
\(132\) −6.91992 + 30.3181i −0.602301 + 2.63885i
\(133\) −3.19893 6.64265i −0.277383 0.575991i
\(134\) −4.22602 5.29926i −0.365072 0.457786i
\(135\) 0.833155 0.0717065
\(136\) 1.15735 1.35171i 0.0992419 0.115908i
\(137\) 2.65160 + 3.32500i 0.226541 + 0.284074i 0.882092 0.471077i \(-0.156135\pi\)
−0.655550 + 0.755151i \(0.727563\pi\)
\(138\) −31.0270 14.9418i −2.64119 1.27193i
\(139\) 17.4279 + 13.8983i 1.47821 + 1.17884i 0.942395 + 0.334502i \(0.108568\pi\)
0.535818 + 0.844333i \(0.320003\pi\)
\(140\) 1.46207 + 0.704094i 0.123567 + 0.0595068i
\(141\) −19.0377 + 4.34524i −1.60327 + 0.365935i
\(142\) 7.59719 6.05856i 0.637542 0.508423i
\(143\) −2.13899 + 0.488210i −0.178871 + 0.0408262i
\(144\) −5.96431 + 2.87226i −0.497026 + 0.239355i
\(145\) −0.486369 + 0.609887i −0.0403907 + 0.0506484i
\(146\) −13.0233 10.3857i −1.07782 0.859530i
\(147\) −4.71531 1.07624i −0.388912 0.0887666i
\(148\) 2.27491 + 4.72390i 0.186997 + 0.388302i
\(149\) 16.5606 + 7.97515i 1.35670 + 0.653350i 0.963897 0.266275i \(-0.0857928\pi\)
0.392798 + 0.919625i \(0.371507\pi\)
\(150\) −21.5842 4.92645i −1.76234 0.402243i
\(151\) −4.72947 + 20.7212i −0.384879 + 1.68627i 0.297062 + 0.954858i \(0.403993\pi\)
−0.681941 + 0.731407i \(0.738864\pi\)
\(152\) 1.30734 + 0.629582i 0.106039 + 0.0510658i
\(153\) 1.97962 7.46293i 0.160043 0.603342i
\(154\) 6.38181 27.9605i 0.514261 2.25312i
\(155\) −0.451452 + 0.566103i −0.0362615 + 0.0454705i
\(156\) 1.31310 + 1.04716i 0.105132 + 0.0838402i
\(157\) −1.07202 + 0.516255i −0.0855561 + 0.0412017i −0.476172 0.879352i \(-0.657976\pi\)
0.390616 + 0.920554i \(0.372262\pi\)
\(158\) 2.93099 0.668980i 0.233177 0.0532212i
\(159\) 9.63244 7.68162i 0.763902 0.609192i
\(160\) 2.64933 0.604692i 0.209448 0.0478051i
\(161\) 15.0219 + 7.23416i 1.18389 + 0.570131i
\(162\) −14.2150 + 17.8250i −1.11684 + 1.40047i
\(163\) −4.61807 + 9.58952i −0.361715 + 0.751109i −0.999823 0.0188382i \(-0.994003\pi\)
0.638107 + 0.769947i \(0.279718\pi\)
\(164\) −19.3000 + 15.3912i −1.50707 + 1.20185i
\(165\) 4.71028i 0.366695i
\(166\) 20.5429 1.59443
\(167\) −10.2108 + 8.14281i −0.790132 + 0.630109i −0.933100 0.359618i \(-0.882907\pi\)
0.142968 + 0.989727i \(0.454336\pi\)
\(168\) −1.88229 + 0.906464i −0.145222 + 0.0699352i
\(169\) 2.86641 12.5585i 0.220493 0.966042i
\(170\) −1.31721 + 2.50750i −0.101025 + 0.192317i
\(171\) 6.29590 0.481459
\(172\) 12.0727 + 8.02055i 0.920537 + 0.611561i
\(173\) 10.7837i 0.819873i 0.912114 + 0.409936i \(0.134449\pi\)
−0.912114 + 0.409936i \(0.865551\pi\)
\(174\) −2.34840 10.2890i −0.178032 0.780008i
\(175\) 10.4501 + 2.38517i 0.789953 + 0.180302i
\(176\) −9.77606 20.3002i −0.736898 1.53018i
\(177\) 16.8640 13.4486i 1.26758 1.01086i
\(178\) 27.1685 2.03637
\(179\) −18.4194 −1.37673 −0.688366 0.725364i \(-0.741672\pi\)
−0.688366 + 0.725364i \(0.741672\pi\)
\(180\) −1.08342 + 0.863998i −0.0807533 + 0.0643986i
\(181\) 7.88345 16.3701i 0.585972 1.21678i −0.371547 0.928414i \(-0.621173\pi\)
0.957519 0.288369i \(-0.0931131\pi\)
\(182\) −1.21099 0.965735i −0.0897648 0.0715850i
\(183\) 18.5565 + 8.93635i 1.37174 + 0.660594i
\(184\) −3.19915 + 0.730184i −0.235844 + 0.0538299i
\(185\) −0.495151 0.620899i −0.0364042 0.0456494i
\(186\) −2.17981 9.55036i −0.159831 0.700266i
\(187\) 25.4009 + 6.73785i 1.85750 + 0.492721i
\(188\) −12.1913 + 15.2874i −0.889140 + 1.11495i
\(189\) 3.40255 4.26666i 0.247499 0.310354i
\(190\) −2.25171 0.513939i −0.163356 0.0372851i
\(191\) 3.34493 1.61084i 0.242031 0.116556i −0.308937 0.951083i \(-0.599973\pi\)
0.550968 + 0.834527i \(0.314259\pi\)
\(192\) −9.17999 + 19.0624i −0.662509 + 1.37571i
\(193\) −13.8206 3.15447i −0.994830 0.227063i −0.306035 0.952020i \(-0.599003\pi\)
−0.688794 + 0.724957i \(0.741860\pi\)
\(194\) −25.5653 5.83510i −1.83548 0.418936i
\(195\) −0.229199 0.110376i −0.0164133 0.00790421i
\(196\) −4.36339 + 2.10130i −0.311671 + 0.150093i
\(197\) −20.5853 4.69846i −1.46664 0.334751i −0.586689 0.809812i \(-0.699569\pi\)
−0.879953 + 0.475061i \(0.842426\pi\)
\(198\) 19.1475 + 15.2696i 1.36075 + 1.08516i
\(199\) −21.1949 16.9024i −1.50247 1.19818i −0.923954 0.382503i \(-0.875062\pi\)
−0.578512 0.815674i \(-0.696366\pi\)
\(200\) −1.90066 + 0.915310i −0.134397 + 0.0647222i
\(201\) −7.10882 + 1.62254i −0.501417 + 0.114445i
\(202\) 20.2458 + 25.3874i 1.42449 + 1.78625i
\(203\) 1.13699 + 4.98148i 0.0798010 + 0.349631i
\(204\) −8.09091 18.4183i −0.566477 1.28954i
\(205\) 2.33125 2.92330i 0.162822 0.204172i
\(206\) 23.8350 + 11.4783i 1.66067 + 0.799734i
\(207\) −11.1315 + 8.87707i −0.773692 + 0.616999i
\(208\) −1.21688 −0.0843751
\(209\) 21.4288i 1.48226i
\(210\) 2.59987 2.07333i 0.179408 0.143073i
\(211\) 2.35225 + 4.88450i 0.161936 + 0.336263i 0.966110 0.258131i \(-0.0831065\pi\)
−0.804174 + 0.594393i \(0.797392\pi\)
\(212\) 2.74518 12.0274i 0.188540 0.826047i
\(213\) −2.32613 10.1914i −0.159384 0.698305i
\(214\) 8.32476i 0.569069i
\(215\) −2.05310 0.777481i −0.140020 0.0530237i
\(216\) 1.07404i 0.0730794i
\(217\) 1.05536 + 4.62385i 0.0716428 + 0.313888i
\(218\) 21.9049 + 4.99964i 1.48358 + 0.338618i
\(219\) −16.1451 + 7.77507i −1.09098 + 0.525390i
\(220\) −2.94071 3.68754i −0.198263 0.248614i
\(221\) 0.923080 1.07810i 0.0620931 0.0725209i
\(222\) 10.7442 0.721101
\(223\) −6.14910 7.71073i −0.411774 0.516349i 0.532087 0.846689i \(-0.321408\pi\)
−0.943862 + 0.330341i \(0.892836\pi\)
\(224\) 7.72300 16.0370i 0.516014 1.07151i
\(225\) −5.70694 + 7.15627i −0.380463 + 0.477085i
\(226\) −1.04071 + 2.16105i −0.0692269 + 0.143751i
\(227\) −19.7108 + 4.49886i −1.30825 + 0.298600i −0.819126 0.573613i \(-0.805541\pi\)
−0.489126 + 0.872213i \(0.662684\pi\)
\(228\) 12.8251 10.2277i 0.849362 0.677344i
\(229\) −0.432111 1.89320i −0.0285547 0.125106i 0.958642 0.284616i \(-0.0918660\pi\)
−0.987196 + 0.159509i \(0.949009\pi\)
\(230\) 4.70580 2.26619i 0.310291 0.149428i
\(231\) −24.1218 19.2365i −1.58710 1.26567i
\(232\) −0.786223 0.626992i −0.0516181 0.0411641i
\(233\) 3.98187 + 0.908837i 0.260861 + 0.0595399i 0.350951 0.936394i \(-0.385858\pi\)
−0.0900900 + 0.995934i \(0.528715\pi\)
\(234\) 1.19169 0.573889i 0.0779034 0.0375163i
\(235\) 1.28502 2.66837i 0.0838254 0.174065i
\(236\) 4.80613 21.0570i 0.312853 1.37070i
\(237\) 0.719675 3.15310i 0.0467479 0.204816i
\(238\) 7.46174 + 16.9860i 0.483673 + 1.10104i
\(239\) 14.8276 7.14058i 0.959116 0.461886i 0.112243 0.993681i \(-0.464197\pi\)
0.846873 + 0.531795i \(0.178482\pi\)
\(240\) 0.581336 2.54700i 0.0375251 0.164408i
\(241\) −1.42451 1.13601i −0.0917609 0.0731769i 0.576535 0.817073i \(-0.304404\pi\)
−0.668296 + 0.743896i \(0.732976\pi\)
\(242\) −37.8991 + 47.5239i −2.43624 + 3.05495i
\(243\) 7.40251 + 15.3715i 0.474871 + 0.986081i
\(244\) 20.1065 4.58917i 1.28719 0.293792i
\(245\) 0.573514 0.457362i 0.0366405 0.0292198i
\(246\) 11.2563 + 49.3171i 0.717676 + 3.14434i
\(247\) 1.04271 + 0.502142i 0.0663460 + 0.0319505i
\(248\) −0.729780 0.581980i −0.0463411 0.0369558i
\(249\) 9.58865 19.9110i 0.607656 1.26181i
\(250\) 5.31069 4.23514i 0.335878 0.267853i
\(251\) −13.1120 −0.827620 −0.413810 0.910363i \(-0.635802\pi\)
−0.413810 + 0.910363i \(0.635802\pi\)
\(252\) 9.07680i 0.571785i
\(253\) −30.2141 37.8873i −1.89954 2.38195i
\(254\) 31.3660 15.1050i 1.96807 0.947775i
\(255\) 1.81555 + 2.44711i 0.113694 + 0.153244i
\(256\) −2.69791 11.8203i −0.168619 0.738770i
\(257\) −19.9780 −1.24619 −0.623096 0.782146i \(-0.714125\pi\)
−0.623096 + 0.782146i \(0.714125\pi\)
\(258\) 25.5419 15.1582i 1.59017 0.943708i
\(259\) −5.20184 −0.323227
\(260\) −0.248343 + 0.0566826i −0.0154016 + 0.00351531i
\(261\) −4.25387 0.970918i −0.263308 0.0600983i
\(262\) 4.80060 + 9.96854i 0.296582 + 0.615858i
\(263\) −2.16071 2.70944i −0.133235 0.167071i 0.710738 0.703456i \(-0.248361\pi\)
−0.843973 + 0.536385i \(0.819790\pi\)
\(264\) 6.07216 0.373715
\(265\) 1.86860i 0.114787i
\(266\) −11.8278 + 9.43234i −0.725208 + 0.578334i
\(267\) 12.6813 26.3329i 0.776080 1.61155i
\(268\) −4.55230 + 5.70841i −0.278076 + 0.348696i
\(269\) 3.23082 6.70887i 0.196987 0.409047i −0.778955 0.627080i \(-0.784250\pi\)
0.975941 + 0.218033i \(0.0699641\pi\)
\(270\) −0.380413 1.66670i −0.0231512 0.101432i
\(271\) 8.19996 + 10.2824i 0.498112 + 0.624613i 0.965802 0.259279i \(-0.0834851\pi\)
−0.467690 + 0.883893i \(0.654914\pi\)
\(272\) 12.9035 + 6.77832i 0.782391 + 0.410996i
\(273\) −1.50128 + 0.722978i −0.0908615 + 0.0437566i
\(274\) 5.44084 6.82260i 0.328693 0.412168i
\(275\) −24.3572 19.4242i −1.46879 1.17132i
\(276\) −8.25469 + 36.1662i −0.496874 + 2.17695i
\(277\) 9.03670 + 18.7649i 0.542963 + 1.12747i 0.974294 + 0.225280i \(0.0723298\pi\)
−0.431331 + 0.902194i \(0.641956\pi\)
\(278\) 19.8455 41.2097i 1.19026 2.47159i
\(279\) −3.94848 0.901215i −0.236389 0.0539543i
\(280\) 0.0705085 0.308918i 0.00421369 0.0184614i
\(281\) −7.17961 3.45752i −0.428299 0.206258i 0.207300 0.978278i \(-0.433533\pi\)
−0.635599 + 0.772019i \(0.719247\pi\)
\(282\) 17.3850 + 36.1003i 1.03526 + 2.14974i
\(283\) 13.2707 + 3.02894i 0.788859 + 0.180052i 0.597926 0.801551i \(-0.295992\pi\)
0.190933 + 0.981603i \(0.438849\pi\)
\(284\) −8.18376 6.52633i −0.485617 0.387266i
\(285\) −1.54915 + 1.94257i −0.0917636 + 0.115068i
\(286\) 1.95330 + 4.05606i 0.115501 + 0.239840i
\(287\) −5.44980 23.8771i −0.321691 1.40942i
\(288\) 9.47693 + 11.8837i 0.558434 + 0.700254i
\(289\) −15.7935 + 6.29017i −0.929028 + 0.370010i
\(290\) 1.44213 + 0.694493i 0.0846848 + 0.0407821i
\(291\) −17.5885 + 22.0553i −1.03106 + 1.29291i
\(292\) −7.78540 + 16.1666i −0.455606 + 0.946076i
\(293\) 3.86203 + 4.84284i 0.225622 + 0.282921i 0.881739 0.471738i \(-0.156373\pi\)
−0.656116 + 0.754660i \(0.727802\pi\)
\(294\) 9.92421i 0.578792i
\(295\) 3.27146i 0.190472i
\(296\) 0.800419 0.638313i 0.0465234 0.0371012i
\(297\) −14.2906 + 6.88200i −0.829225 + 0.399334i
\(298\) 8.39257 36.7702i 0.486168 2.13004i
\(299\) −2.55158 + 0.582381i −0.147561 + 0.0336799i
\(300\) 23.8486i 1.37690i
\(301\) −12.3663 + 7.33891i −0.712779 + 0.423008i
\(302\) 43.6114 2.50956
\(303\) 34.0565 7.77318i 1.95650 0.446557i
\(304\) −2.64471 + 11.5872i −0.151685 + 0.664574i
\(305\) −2.81443 + 1.35536i −0.161154 + 0.0776075i
\(306\) −15.8332 0.552637i −0.905124 0.0315922i
\(307\) −12.0385 −0.687074 −0.343537 0.939139i \(-0.611625\pi\)
−0.343537 + 0.939139i \(0.611625\pi\)
\(308\) −30.8939 −1.76034
\(309\) 22.2506 17.7443i 1.26579 1.00944i
\(310\) 1.33860 + 0.644635i 0.0760273 + 0.0366128i
\(311\) 12.1630 + 9.69970i 0.689703 + 0.550020i 0.904413 0.426658i \(-0.140309\pi\)
−0.214710 + 0.976678i \(0.568881\pi\)
\(312\) 0.142289 0.295467i 0.00805554 0.0167275i
\(313\) −1.44994 + 0.330939i −0.0819554 + 0.0187058i −0.263302 0.964713i \(-0.584812\pi\)
0.181347 + 0.983419i \(0.441954\pi\)
\(314\) 1.52223 + 1.90881i 0.0859042 + 0.107720i
\(315\) −0.305929 1.34036i −0.0172371 0.0755208i
\(316\) −1.40513 2.91778i −0.0790446 0.164138i
\(317\) 18.8770 + 15.0539i 1.06024 + 0.845510i 0.988395 0.151906i \(-0.0485413\pi\)
0.0718407 + 0.997416i \(0.477113\pi\)
\(318\) −19.7649 15.7620i −1.10836 0.883889i
\(319\) 3.30463 14.4785i 0.185024 0.810642i
\(320\) −1.39231 2.89116i −0.0778325 0.161621i
\(321\) −8.06872 3.88569i −0.450352 0.216878i
\(322\) 7.61279 33.3538i 0.424244 1.85873i
\(323\) −8.25962 11.1328i −0.459578 0.619445i
\(324\) 22.1272 + 10.6559i 1.22929 + 0.591995i
\(325\) −1.51593 + 0.730034i −0.0840887 + 0.0404950i
\(326\) 21.2921 + 4.85978i 1.17926 + 0.269158i
\(327\) 15.0702 18.8975i 0.833387 1.04503i
\(328\) 3.76851 + 3.00529i 0.208081 + 0.165939i
\(329\) −8.41704 17.4782i −0.464046 0.963602i
\(330\) −9.42275 + 2.15068i −0.518705 + 0.118391i
\(331\) −18.9988 23.8238i −1.04427 1.30947i −0.949429 0.313981i \(-0.898337\pi\)
−0.0948405 0.995492i \(-0.530234\pi\)
\(332\) −4.92415 21.5741i −0.270248 1.18403i
\(333\) 1.92733 4.00215i 0.105617 0.219316i
\(334\) 20.9516 + 16.7083i 1.14642 + 0.914238i
\(335\) 0.479835 0.996387i 0.0262162 0.0544385i
\(336\) −10.6693 13.3789i −0.582057 0.729876i
\(337\) 12.2115i 0.665203i −0.943068 0.332601i \(-0.892074\pi\)
0.943068 0.332601i \(-0.107926\pi\)
\(338\) −26.4317 −1.43769
\(339\) 1.60882 + 2.01740i 0.0873792 + 0.109570i
\(340\) 2.94912 + 0.782284i 0.159938 + 0.0424253i
\(341\) 3.06739 13.4391i 0.166108 0.727768i
\(342\) −2.87466 12.5947i −0.155444 0.681044i
\(343\) 20.1553i 1.08829i
\(344\) 1.00227 2.64671i 0.0540389 0.142701i
\(345\) 5.61884i 0.302508i
\(346\) 21.5725 4.92378i 1.15974 0.264704i
\(347\) −11.0305 2.51763i −0.592147 0.135154i −0.0840617 0.996461i \(-0.526789\pi\)
−0.508085 + 0.861307i \(0.669646\pi\)
\(348\) −10.2426 + 4.93258i −0.549062 + 0.264414i
\(349\) 15.0671 + 18.8935i 0.806522 + 1.01135i 0.999545 + 0.0301527i \(0.00959935\pi\)
−0.193023 + 0.981194i \(0.561829\pi\)
\(350\) 21.9941i 1.17563i
\(351\) 0.856637i 0.0457239i
\(352\) −40.4475 + 32.2558i −2.15586 + 1.71924i
\(353\) 7.59130 + 3.65578i 0.404044 + 0.194577i 0.624858 0.780739i \(-0.285157\pi\)
−0.220814 + 0.975316i \(0.570871\pi\)
\(354\) −34.6035 27.5953i −1.83915 1.46668i
\(355\) 1.42845 + 0.687907i 0.0758144 + 0.0365103i
\(356\) −6.51233 28.5324i −0.345153 1.51221i
\(357\) 19.9465 + 0.696205i 1.05568 + 0.0368471i
\(358\) 8.41018 + 36.8474i 0.444492 + 1.94744i
\(359\) −1.24250 + 0.598356i −0.0655766 + 0.0315800i −0.466385 0.884582i \(-0.654444\pi\)
0.400808 + 0.916162i \(0.368729\pi\)
\(360\) 0.211548 + 0.168704i 0.0111496 + 0.00889149i
\(361\) −4.79866 + 6.01733i −0.252561 + 0.316701i
\(362\) −36.3474 8.29606i −1.91038 0.436031i
\(363\) 28.3724 + 58.9158i 1.48916 + 3.09228i
\(364\) −0.723939 + 1.50327i −0.0379447 + 0.0787930i
\(365\) 0.604777 2.64970i 0.0316555 0.138692i
\(366\) 9.40408 41.2019i 0.491559 2.15366i
\(367\) −1.65213 + 3.43069i −0.0862407 + 0.179081i −0.939629 0.342195i \(-0.888830\pi\)
0.853388 + 0.521276i \(0.174544\pi\)
\(368\) −11.6617 24.2159i −0.607911 1.26234i
\(369\) 20.3896 + 4.65379i 1.06144 + 0.242266i
\(370\) −1.01600 + 1.27403i −0.0528196 + 0.0662336i
\(371\) 9.56928 + 7.63125i 0.496812 + 0.396195i
\(372\) −9.50729 + 4.57847i −0.492930 + 0.237383i
\(373\) −6.32366 27.7057i −0.327426 1.43455i −0.824017 0.566564i \(-0.808272\pi\)
0.496591 0.867985i \(-0.334585\pi\)
\(374\) 1.88096 53.8901i 0.0972623 2.78659i
\(375\) −1.62604 7.12416i −0.0839685 0.367890i
\(376\) 3.43987 + 1.65656i 0.177398 + 0.0854304i
\(377\) −0.627076 0.500077i −0.0322961 0.0257553i
\(378\) −10.0889 4.85855i −0.518916 0.249897i
\(379\) 6.41732 5.11764i 0.329635 0.262875i −0.444660 0.895699i \(-0.646676\pi\)
0.774296 + 0.632824i \(0.218104\pi\)
\(380\) 2.48794i 0.127629i
\(381\) 37.4517i 1.91871i
\(382\) −4.74969 5.95593i −0.243015 0.304732i
\(383\) −6.09032 + 2.93295i −0.311201 + 0.149867i −0.582965 0.812498i \(-0.698107\pi\)
0.271764 + 0.962364i \(0.412393\pi\)
\(384\) 7.38936 + 1.68657i 0.377087 + 0.0860676i
\(385\) 4.56207 1.04126i 0.232505 0.0530677i
\(386\) 29.0880i 1.48054i
\(387\) −1.06453 12.2334i −0.0541131 0.621857i
\(388\) 28.2473i 1.43404i
\(389\) −2.39827 10.5075i −0.121597 0.532751i −0.998630 0.0523216i \(-0.983338\pi\)
0.877033 0.480430i \(-0.159519\pi\)
\(390\) −0.116153 + 0.508901i −0.00588165 + 0.0257692i
\(391\) 30.3004 + 8.03751i 1.53236 + 0.406474i
\(392\) 0.589599 + 0.739334i 0.0297793 + 0.0373420i
\(393\) 11.9027 0.600411
\(394\) 43.3254i 2.18270i
\(395\) 0.305836 + 0.383506i 0.0153883 + 0.0192963i
\(396\) 11.4465 23.7689i 0.575207 1.19443i
\(397\) 18.0655 + 14.4068i 0.906683 + 0.723056i 0.961315 0.275451i \(-0.0888271\pi\)
−0.0546318 + 0.998507i \(0.517398\pi\)
\(398\) −24.1351 + 50.1171i −1.20979 + 2.51214i
\(399\) 3.62146 + 15.8667i 0.181300 + 0.794327i
\(400\) −10.7734 13.5094i −0.538670 0.675471i
\(401\) 3.61459 0.825007i 0.180504 0.0411989i −0.131313 0.991341i \(-0.541919\pi\)
0.311817 + 0.950142i \(0.399062\pi\)
\(402\) 6.49167 + 13.4801i 0.323775 + 0.672326i
\(403\) −0.582058 0.464176i −0.0289944 0.0231222i
\(404\) 21.8089 27.3475i 1.08503 1.36059i
\(405\) −3.62666 0.827761i −0.180210 0.0411318i
\(406\) 9.44613 4.54902i 0.468803 0.225764i
\(407\) 13.6218 + 6.55989i 0.675205 + 0.325162i
\(408\) −3.15464 + 2.34048i −0.156178 + 0.115871i
\(409\) −4.37709 + 19.1773i −0.216433 + 0.948257i 0.743656 + 0.668563i \(0.233090\pi\)
−0.960089 + 0.279694i \(0.909767\pi\)
\(410\) −6.91239 3.32883i −0.341379 0.164399i
\(411\) −4.07318 8.45804i −0.200915 0.417204i
\(412\) 6.34128 27.7829i 0.312412 1.36877i
\(413\) 16.7534 + 13.3604i 0.824383 + 0.657423i
\(414\) 22.8408 + 18.2150i 1.12257 + 0.895216i
\(415\) 1.45429 + 3.01986i 0.0713882 + 0.148239i
\(416\) 0.621734 + 2.72400i 0.0304830 + 0.133555i
\(417\) −30.6791 38.4703i −1.50236 1.88390i
\(418\) 42.8675 9.78424i 2.09672 0.478563i
\(419\) −6.13550 + 12.7405i −0.299739 + 0.622414i −0.995384 0.0959713i \(-0.969404\pi\)
0.695645 + 0.718385i \(0.255119\pi\)
\(420\) −2.80061 2.23341i −0.136656 0.108979i
\(421\) 29.5071 + 14.2099i 1.43809 + 0.692546i 0.980482 0.196610i \(-0.0629932\pi\)
0.457605 + 0.889156i \(0.348708\pi\)
\(422\) 8.69725 6.93583i 0.423375 0.337631i
\(423\) 16.5658 0.805455
\(424\) −2.40887 −0.116985
\(425\) 20.1411 + 0.703000i 0.976988 + 0.0341005i
\(426\) −19.3255 + 9.30667i −0.936324 + 0.450910i
\(427\) −4.55303 + 19.9481i −0.220337 + 0.965358i
\(428\) −8.74268 + 1.99546i −0.422593 + 0.0964541i
\(429\) 4.84303 0.233824
\(430\) −0.617893 + 4.46214i −0.0297974 + 0.215183i
\(431\) 10.8868i 0.524398i −0.965014 0.262199i \(-0.915552\pi\)
0.965014 0.262199i \(-0.0844477\pi\)
\(432\) −8.57676 + 1.95759i −0.412650 + 0.0941846i
\(433\) −2.86196 + 12.5391i −0.137537 + 0.602590i 0.858435 + 0.512923i \(0.171437\pi\)
−0.995972 + 0.0896668i \(0.971420\pi\)
\(434\) 8.76798 4.22244i 0.420877 0.202684i
\(435\) 1.34627 1.07361i 0.0645485 0.0514757i
\(436\) 24.2029i 1.15911i
\(437\) 25.5622i 1.22280i
\(438\) 22.9255 + 28.7477i 1.09542 + 1.37362i
\(439\) 7.65049 15.8864i 0.365138 0.758217i −0.634757 0.772712i \(-0.718900\pi\)
0.999895 + 0.0144949i \(0.00461404\pi\)
\(440\) −0.574204 + 0.720029i −0.0273741 + 0.0343260i
\(441\) 3.69672 + 1.78024i 0.176034 + 0.0847736i
\(442\) −2.57817 1.35434i −0.122631 0.0644192i
\(443\) 0.652135 + 0.817752i 0.0309839 + 0.0388526i 0.797082 0.603871i \(-0.206376\pi\)
−0.766098 + 0.642724i \(0.777804\pi\)
\(444\) −2.57539 11.2835i −0.122223 0.535493i
\(445\) 1.92334 + 3.99385i 0.0911750 + 0.189327i
\(446\) −12.6174 + 15.8217i −0.597452 + 0.749181i
\(447\) −31.7220 25.2974i −1.50040 1.19653i
\(448\) −20.4920 4.67716i −0.968156 0.220975i
\(449\) −1.89193 3.92863i −0.0892857 0.185404i 0.851544 0.524283i \(-0.175667\pi\)
−0.940830 + 0.338879i \(0.889952\pi\)
\(450\) 16.9216 + 8.14902i 0.797693 + 0.384149i
\(451\) −15.8397 + 69.3982i −0.745861 + 3.26783i
\(452\) 2.51900 + 0.574945i 0.118484 + 0.0270431i
\(453\) 20.3562 42.2701i 0.956418 1.98602i
\(454\) 17.9996 + 37.3766i 0.844765 + 1.75417i
\(455\) 0.0562362 0.246387i 0.00263639 0.0115508i
\(456\) −2.50422 1.99705i −0.117271 0.0935206i
\(457\) 23.6788 29.6922i 1.10765 1.38894i 0.194701 0.980863i \(-0.437626\pi\)
0.912945 0.408082i \(-0.133802\pi\)
\(458\) −3.58999 + 1.72885i −0.167749 + 0.0807837i
\(459\) 4.77170 9.08361i 0.222724 0.423987i
\(460\) −3.50794 4.39882i −0.163559 0.205096i
\(461\) 8.90606 + 39.0200i 0.414797 + 1.81734i 0.560670 + 0.828039i \(0.310544\pi\)
−0.145874 + 0.989303i \(0.546599\pi\)
\(462\) −27.4680 + 57.0380i −1.27793 + 2.65365i
\(463\) 1.83092 2.29591i 0.0850903 0.106700i −0.737464 0.675386i \(-0.763977\pi\)
0.822554 + 0.568687i \(0.192548\pi\)
\(464\) 3.57384 7.42115i 0.165911 0.344518i
\(465\) 1.24962 0.996536i 0.0579496 0.0462133i
\(466\) 8.38057i 0.388222i
\(467\) −9.57278 −0.442975 −0.221488 0.975163i \(-0.571091\pi\)
−0.221488 + 0.975163i \(0.571091\pi\)
\(468\) −0.888349 1.11395i −0.0410640 0.0514926i
\(469\) −3.14298 6.52646i −0.145129 0.301364i
\(470\) −5.92471 1.35228i −0.273287 0.0623759i
\(471\) 2.56062 0.584445i 0.117987 0.0269298i
\(472\) −4.21733 −0.194119
\(473\) 41.6377 3.62325i 1.91450 0.166597i
\(474\) −6.63627 −0.304814
\(475\) 3.65681 + 16.0215i 0.167786 + 0.735117i
\(476\) 16.0501 11.9079i 0.735657 0.545798i
\(477\) −9.41677 + 4.53488i −0.431164 + 0.207638i
\(478\) −21.0547 26.4017i −0.963017 1.20759i
\(479\) 33.5306i 1.53205i −0.642810 0.766026i \(-0.722232\pi\)
0.642810 0.766026i \(-0.277768\pi\)
\(480\) −5.99852 −0.273794
\(481\) 0.638399 0.509106i 0.0291085 0.0232132i
\(482\) −1.62213 + 3.36838i −0.0738859 + 0.153426i
\(483\) −28.7746 22.9470i −1.30929 1.04412i
\(484\) 58.9941 + 28.4101i 2.68155 + 1.29137i
\(485\) −0.952062 4.17125i −0.0432309 0.189407i
\(486\) 27.3702 21.8270i 1.24154 0.990092i
\(487\) −3.23348 + 0.738020i −0.146523 + 0.0334429i −0.295153 0.955450i \(-0.595371\pi\)
0.148630 + 0.988893i \(0.452514\pi\)
\(488\) −1.74723 3.62816i −0.0790934 0.164239i
\(489\) 14.6487 18.3688i 0.662435 0.830667i
\(490\) −1.17680 0.938466i −0.0531624 0.0423956i
\(491\) −2.54901 + 11.1679i −0.115035 + 0.504003i 0.884278 + 0.466960i \(0.154651\pi\)
−0.999314 + 0.0370425i \(0.988206\pi\)
\(492\) 49.0947 23.6428i 2.21336 1.06590i
\(493\) 3.86384 + 8.79570i 0.174019 + 0.396139i
\(494\) 0.528424 2.31518i 0.0237749 0.104165i
\(495\) −0.889173 + 3.89572i −0.0399654 + 0.175100i
\(496\) 3.31727 6.88838i 0.148950 0.309298i
\(497\) 9.35654 4.50587i 0.419698 0.202116i
\(498\) −44.2094 10.0905i −1.98107 0.452167i
\(499\) 7.43590 + 5.92993i 0.332877 + 0.265460i 0.775636 0.631180i \(-0.217429\pi\)
−0.442760 + 0.896640i \(0.646001\pi\)
\(500\) −5.72072 4.56213i −0.255839 0.204024i
\(501\) 25.9738 12.5083i 1.16042 0.558831i
\(502\) 5.98683 + 26.2300i 0.267205 + 1.17070i
\(503\) −13.9322 + 11.1106i −0.621206 + 0.495395i −0.882779 0.469789i \(-0.844330\pi\)
0.261573 + 0.965184i \(0.415759\pi\)
\(504\) 1.72790 0.394382i 0.0769667 0.0175672i
\(505\) −2.29876 + 4.77343i −0.102294 + 0.212415i
\(506\) −61.9966 + 77.7413i −2.75609 + 3.45602i
\(507\) −12.3373 + 25.6187i −0.547920 + 1.13777i
\(508\) −23.3818 29.3198i −1.03740 1.30086i
\(509\) −16.3148 −0.723141 −0.361571 0.932345i \(-0.617759\pi\)
−0.361571 + 0.932345i \(0.617759\pi\)
\(510\) 4.06638 4.74928i 0.180062 0.210302i
\(511\) −11.0995 13.9183i −0.491013 0.615710i
\(512\) −28.6015 + 13.7737i −1.26402 + 0.608719i
\(513\) 8.15700 + 1.86178i 0.360141 + 0.0821997i
\(514\) 9.12180 + 39.9652i 0.402345 + 1.76279i
\(515\) 4.31641i 0.190204i
\(516\) −22.0416 23.1907i −0.970327 1.02091i
\(517\) 56.3835i 2.47974i
\(518\) 2.37513 + 10.4061i 0.104357 + 0.457218i
\(519\) 5.29690 23.2072i 0.232508 1.01868i
\(520\) 0.0215807 + 0.0448128i 0.000946376 + 0.00196517i
\(521\) 13.6493 10.8850i 0.597989 0.476880i −0.277101 0.960841i \(-0.589374\pi\)
0.875090 + 0.483961i \(0.160802\pi\)
\(522\) 8.95303i 0.391863i
\(523\) 7.78404 0.340372 0.170186 0.985412i \(-0.445563\pi\)
0.170186 + 0.985412i \(0.445563\pi\)
\(524\) 9.31826 7.43106i 0.407070 0.324628i
\(525\) −21.3176 10.2660i −0.930378 0.448046i
\(526\) −4.43358 + 5.55953i −0.193313 + 0.242407i
\(527\) 3.58645 + 8.16425i 0.156228 + 0.355640i
\(528\) 11.0673 + 48.4891i 0.481644 + 2.11022i
\(529\) −21.7018 27.2132i −0.943557 1.18318i
\(530\) 3.73807 0.853191i 0.162371 0.0370602i
\(531\) −16.4864 + 7.93945i −0.715450 + 0.344543i
\(532\) 12.7410 + 10.1606i 0.552392 + 0.440518i
\(533\) 3.00569 + 2.39696i 0.130191 + 0.103824i
\(534\) −58.4682 13.3450i −2.53017 0.577494i
\(535\) 1.22377 0.589335i 0.0529080 0.0254792i
\(536\) 1.28447 + 0.618569i 0.0554807 + 0.0267181i
\(537\) 39.6396 + 9.04749i 1.71058 + 0.390428i
\(538\) −14.8960 3.39992i −0.642213 0.146581i
\(539\) −6.05926 + 12.5822i −0.260991 + 0.541953i
\(540\) −1.65918 + 0.799019i −0.0713998 + 0.0343843i
\(541\) 25.5754 + 5.83741i 1.09957 + 0.250970i 0.733549 0.679636i \(-0.237862\pi\)
0.366022 + 0.930606i \(0.380719\pi\)
\(542\) 16.8256 21.0986i 0.722721 0.906263i
\(543\) −25.0065 + 31.3572i −1.07313 + 1.34567i
\(544\) 8.58064 32.3480i 0.367892 1.38691i
\(545\) 0.815747 + 3.57402i 0.0349428 + 0.153094i
\(546\) 2.13176 + 2.67315i 0.0912311 + 0.114400i
\(547\) −39.9295 + 9.11364i −1.70726 + 0.389671i −0.961123 0.276121i \(-0.910951\pi\)
−0.746138 + 0.665792i \(0.768094\pi\)
\(548\) −8.46928 4.07859i −0.361790 0.174229i
\(549\) −13.6606 10.8939i −0.583019 0.464942i
\(550\) −27.7361 + 57.5946i −1.18267 + 2.45584i
\(551\) −6.12466 + 4.88425i −0.260919 + 0.208076i
\(552\) 7.24341 0.308300
\(553\) 3.21298 0.136630
\(554\) 33.4124 26.6455i 1.41956 1.13206i
\(555\) 0.760611 + 1.57943i 0.0322861 + 0.0670429i
\(556\) −48.0355 10.9638i −2.03716 0.464968i
\(557\) −3.98814 17.4732i −0.168983 0.740363i −0.986406 0.164325i \(-0.947455\pi\)
0.817423 0.576038i \(-0.195402\pi\)
\(558\) 8.31029i 0.351802i
\(559\) 0.799393 2.11096i 0.0338107 0.0892842i
\(560\) 2.59537 0.109674
\(561\) −51.3546 26.9770i −2.16819 1.13897i
\(562\) −3.63848 + 15.9412i −0.153480 + 0.672440i
\(563\) 23.5981 11.3643i 0.994543 0.478947i 0.135460 0.990783i \(-0.456749\pi\)
0.859083 + 0.511836i \(0.171034\pi\)
\(564\) 33.7454 26.9110i 1.42094 1.13316i
\(565\) −0.391356 −0.0164645
\(566\) 27.9305i 1.17401i
\(567\) −19.0501 + 15.1919i −0.800028 + 0.638001i
\(568\) −0.886801 + 1.84146i −0.0372093 + 0.0772660i
\(569\) −5.53343 + 6.93870i −0.231973 + 0.290885i −0.884171 0.467164i \(-0.845276\pi\)
0.652198 + 0.758049i \(0.273847\pi\)
\(570\) 4.59337 + 2.21205i 0.192395 + 0.0926527i
\(571\) −18.4174 + 4.20364i −0.770743 + 0.175917i −0.589770 0.807571i \(-0.700782\pi\)
−0.180973 + 0.983488i \(0.557925\pi\)
\(572\) 3.79147 3.02360i 0.158529 0.126423i
\(573\) −7.98972 + 1.82360i −0.333775 + 0.0761821i
\(574\) −45.2770 + 21.8043i −1.88983 + 0.910092i
\(575\) −29.0554 23.1709i −1.21169 0.966294i
\(576\) 11.1910 14.0330i 0.466290 0.584709i
\(577\) −1.47345 + 6.45560i −0.0613405 + 0.268750i −0.996293 0.0860220i \(-0.972584\pi\)
0.934953 + 0.354772i \(0.115442\pi\)
\(578\) 19.7945 + 28.7222i 0.823341 + 1.19469i
\(579\) 28.1933 + 13.5772i 1.17167 + 0.564249i
\(580\) 0.383677 1.68100i 0.0159313 0.0697996i
\(581\) 21.4042 + 4.88537i 0.887996 + 0.202679i
\(582\) 52.1517 + 25.1150i 2.16176 + 1.04105i
\(583\) −15.4350 32.0510i −0.639251 1.32742i
\(584\) 3.41581 + 0.779636i 0.141347 + 0.0322616i
\(585\) 0.168727 + 0.134555i 0.00697600 + 0.00556317i
\(586\) 7.92454 9.93706i 0.327360 0.410496i
\(587\) 21.5635 10.3844i 0.890021 0.428611i 0.0677464 0.997703i \(-0.478419\pi\)
0.822274 + 0.569091i \(0.192705\pi\)
\(588\) 10.4224 2.37885i 0.429813 0.0981020i
\(589\) −5.68497 + 4.53361i −0.234245 + 0.186804i
\(590\) 6.54444 1.49373i 0.269430 0.0614957i
\(591\) 41.9929 + 20.2227i 1.72736 + 0.831851i
\(592\) 6.55611 + 5.22832i 0.269455 + 0.214883i
\(593\) 0.476611 + 0.229524i 0.0195721 + 0.00942540i 0.443644 0.896203i \(-0.353685\pi\)
−0.424072 + 0.905628i \(0.639400\pi\)
\(594\) 20.2922 + 25.4456i 0.832598 + 1.04405i
\(595\) −1.96876 + 2.29939i −0.0807112 + 0.0942658i
\(596\) −40.6279 −1.66418
\(597\) 37.3103 + 46.7856i 1.52701 + 1.91481i
\(598\) 2.33006 + 4.83843i 0.0952834 + 0.197858i
\(599\) 1.50501 6.59387i 0.0614929 0.269418i −0.934830 0.355096i \(-0.884448\pi\)
0.996323 + 0.0856775i \(0.0273055\pi\)
\(600\) 4.53993 1.03621i 0.185342 0.0423030i
\(601\) 6.23297i 0.254248i −0.991887 0.127124i \(-0.959425\pi\)
0.991887 0.127124i \(-0.0405747\pi\)
\(602\) 20.3276 + 21.3874i 0.828491 + 0.871684i
\(603\) 6.18577 0.251904
\(604\) −10.4537 45.8008i −0.425356 1.86361i
\(605\) −9.66915 2.20692i −0.393107 0.0897241i
\(606\) −31.0999 64.5797i −1.26335 2.62337i
\(607\) 10.2082 8.14080i 0.414340 0.330425i −0.394033 0.919096i \(-0.628920\pi\)
0.808372 + 0.588672i \(0.200349\pi\)
\(608\) 27.2895 1.10674
\(609\) 11.2789i 0.457044i
\(610\) 3.99639 + 5.01132i 0.161809 + 0.202902i
\(611\) 2.74358 + 1.32124i 0.110993 + 0.0534515i
\(612\) 3.21486 + 16.7605i 0.129953 + 0.677503i
\(613\) 13.3679 + 6.43764i 0.539924 + 0.260014i 0.683911 0.729566i \(-0.260278\pi\)
−0.143986 + 0.989580i \(0.545992\pi\)
\(614\) 5.49670 + 24.0826i 0.221829 + 0.971894i
\(615\) −6.45290 + 5.14601i −0.260206 + 0.207507i
\(616\) 1.34232 + 5.88110i 0.0540837 + 0.236956i
\(617\) 7.91155 + 16.4285i 0.318507 + 0.661387i 0.997339 0.0729071i \(-0.0232277\pi\)
−0.678832 + 0.734294i \(0.737513\pi\)
\(618\) −45.6563 36.4097i −1.83656 1.46461i
\(619\) −16.3012 12.9997i −0.655199 0.522504i 0.238516 0.971138i \(-0.423339\pi\)
−0.893715 + 0.448635i \(0.851910\pi\)
\(620\) 0.356132 1.56032i 0.0143026 0.0626639i
\(621\) −17.0471 + 8.20945i −0.684077 + 0.329434i
\(622\) 13.8503 28.7605i 0.555348 1.15319i
\(623\) 28.3077 + 6.46104i 1.13412 + 0.258856i
\(624\) 2.61879 + 0.597721i 0.104835 + 0.0239280i
\(625\) −21.0208 10.1231i −0.840830 0.404923i
\(626\) 1.32406 + 2.74945i 0.0529202 + 0.109890i
\(627\) 10.5257 46.1160i 0.420355 1.84170i
\(628\) 1.63975 2.05619i 0.0654333 0.0820508i
\(629\) −9.60532 + 1.84241i −0.382989 + 0.0734618i
\(630\) −2.54166 + 1.22400i −0.101262 + 0.0487653i
\(631\) 3.79045 + 16.6070i 0.150895 + 0.661115i 0.992626 + 0.121218i \(0.0386799\pi\)
−0.841731 + 0.539898i \(0.818463\pi\)
\(632\) −0.494389 + 0.394262i −0.0196657 + 0.0156829i
\(633\) −2.66295 11.6671i −0.105843 0.463727i
\(634\) 21.4956 44.6362i 0.853701 1.77273i
\(635\) 4.44098 + 3.54156i 0.176235 + 0.140543i
\(636\) −11.8156 + 24.5353i −0.468518 + 0.972888i
\(637\) 0.470253 + 0.589678i 0.0186321 + 0.0233639i
\(638\) −30.4726 −1.20642
\(639\) 8.86812i 0.350817i
\(640\) −0.898754 + 0.716733i −0.0355264 + 0.0283313i
\(641\) 8.98069 + 18.6486i 0.354716 + 0.736575i 0.999617 0.0276912i \(-0.00881552\pi\)
−0.644901 + 0.764266i \(0.723101\pi\)
\(642\) −4.08907 + 17.9154i −0.161383 + 0.707063i
\(643\) 29.4293 6.71704i 1.16058 0.264894i 0.401478 0.915869i \(-0.368497\pi\)
0.759099 + 0.650975i \(0.225640\pi\)
\(644\) −36.8530 −1.45221
\(645\) 4.03649 + 2.68165i 0.158937 + 0.105590i
\(646\) −18.4995 + 21.6062i −0.727852 + 0.850086i
\(647\) −8.25475 36.1664i −0.324528 1.42185i −0.829400 0.558655i \(-0.811317\pi\)
0.504872 0.863194i \(-0.331540\pi\)
\(648\) 1.06709 4.67523i 0.0419193 0.183660i
\(649\) −27.0228 56.1134i −1.06074 2.20264i
\(650\) 2.15257 + 2.69924i 0.0844307 + 0.105873i
\(651\) 10.4692i 0.410320i
\(652\) 23.5258i 0.921343i
\(653\) −6.87582 + 5.48328i −0.269071 + 0.214577i −0.748725 0.662881i \(-0.769334\pi\)
0.479654 + 0.877458i \(0.340762\pi\)
\(654\) −44.6847 21.5190i −1.74731 0.841461i
\(655\) −1.12556 + 1.41140i −0.0439792 + 0.0551481i
\(656\) −17.1301 + 35.5709i −0.668816 + 1.38881i
\(657\) 14.8208 3.38276i 0.578215 0.131974i
\(658\) −31.1213 + 24.8184i −1.21323 + 0.967521i
\(659\) −3.05784 13.3973i −0.119117 0.521884i −0.998916 0.0465398i \(-0.985181\pi\)
0.879800 0.475344i \(-0.157677\pi\)
\(660\) 4.51729 + 9.38025i 0.175835 + 0.365126i
\(661\) −2.95752 + 3.70861i −0.115034 + 0.144248i −0.836015 0.548707i \(-0.815120\pi\)
0.720981 + 0.692955i \(0.243692\pi\)
\(662\) −38.9839 + 48.8842i −1.51515 + 1.89994i
\(663\) −2.51608 + 1.86672i −0.0977163 + 0.0724975i
\(664\) −3.89299 + 1.87477i −0.151077 + 0.0727551i
\(665\) −2.22391 1.07098i −0.0862394 0.0415307i
\(666\) −8.88616 2.02821i −0.344332 0.0785915i
\(667\) 3.94205 17.2713i 0.152637 0.668746i
\(668\) 12.5250 26.0083i 0.484605 1.00629i
\(669\) 9.44577 + 19.6143i 0.365194 + 0.758334i
\(670\) −2.21233 0.504949i −0.0854696 0.0195079i
\(671\) 37.0788 46.4953i 1.43141 1.79493i
\(672\) −24.4976 + 30.7190i −0.945015 + 1.18501i
\(673\) −3.21871 6.68373i −0.124072 0.257639i 0.829676 0.558245i \(-0.188525\pi\)
−0.953748 + 0.300607i \(0.902811\pi\)
\(674\) −24.4287 + 5.57568i −0.940957 + 0.214767i
\(675\) −9.51015 + 7.58409i −0.366046 + 0.291912i
\(676\) 6.33572 + 27.7586i 0.243681 + 1.06764i
\(677\) −3.06711 + 6.36892i −0.117879 + 0.244777i −0.951557 0.307473i \(-0.900517\pi\)
0.833678 + 0.552251i \(0.186231\pi\)
\(678\) 3.30116 4.13952i 0.126780 0.158977i
\(679\) −25.2495 12.1595i −0.968988 0.466640i
\(680\) 0.0207816 0.595397i 0.000796936 0.0228324i
\(681\) 44.6286 1.71017
\(682\) −28.2850 −1.08309
\(683\) −2.65932 + 2.12073i −0.101756 + 0.0811476i −0.673046 0.739600i \(-0.735014\pi\)
0.571290 + 0.820748i \(0.306443\pi\)
\(684\) −12.5379 + 6.03795i −0.479400 + 0.230867i
\(685\) 1.38812 + 0.316829i 0.0530372 + 0.0121054i
\(686\) −40.3201 + 9.20279i −1.53943 + 0.351364i
\(687\) 4.28653i 0.163541i
\(688\) 22.9620 + 3.17966i 0.875419 + 0.121223i
\(689\) −1.92127 −0.0731945
\(690\) −11.2403 + 2.56552i −0.427910 + 0.0976677i
\(691\) −1.24175 0.283422i −0.0472385 0.0107819i 0.198836 0.980033i \(-0.436284\pi\)
−0.246075 + 0.969251i \(0.579141\pi\)
\(692\) −10.3419 21.4752i −0.393141 0.816365i
\(693\) 16.3190 + 20.4634i 0.619908 + 0.777341i
\(694\) 23.2156i 0.881252i
\(695\) 7.46288 0.283083
\(696\) 1.38402 + 1.73551i 0.0524613 + 0.0657844i
\(697\) −18.5201 42.1594i −0.701498 1.59690i
\(698\) 30.9163 38.7678i 1.17020 1.46738i
\(699\) −8.12281 3.91174i −0.307233 0.147956i
\(700\) −23.0982 + 5.27202i −0.873031 + 0.199264i
\(701\) −19.8282 24.8637i −0.748899 0.939090i 0.250681 0.968070i \(-0.419345\pi\)
−0.999580 + 0.0289802i \(0.990774\pi\)
\(702\) 1.71367 0.391134i 0.0646784 0.0147624i
\(703\) −3.46030 7.18539i −0.130508 0.271002i
\(704\) 47.7629 + 38.0897i 1.80013 + 1.43556i
\(705\) −4.07612 + 5.11129i −0.153516 + 0.192503i
\(706\) 3.84712 16.8553i 0.144788 0.634359i
\(707\) 15.0572 + 31.2666i 0.566284 + 1.17590i
\(708\) −20.6861 + 42.9552i −0.777433 + 1.61436i
\(709\) −9.21098 2.10235i −0.345926 0.0789553i 0.0460282 0.998940i \(-0.485344\pi\)
−0.391954 + 0.919985i \(0.628201\pi\)
\(710\) 0.723912 3.17166i 0.0271679 0.119030i
\(711\) −1.19044 + 2.47197i −0.0446450 + 0.0927063i
\(712\) −5.14859 + 2.47943i −0.192952 + 0.0929206i
\(713\) 3.65905 16.0313i 0.137033 0.600379i
\(714\) −7.71468 40.2201i −0.288715 1.50520i
\(715\) −0.457974 + 0.574281i −0.0171272 + 0.0214769i
\(716\) 36.6812 17.6647i 1.37084 0.660163i
\(717\) −35.4172 + 8.08375i −1.32268 + 0.301893i
\(718\) 1.76431 + 2.21237i 0.0658433 + 0.0825649i
\(719\) −19.5893 + 4.47114i −0.730559 + 0.166745i −0.571592 0.820538i \(-0.693674\pi\)
−0.158968 + 0.987284i \(0.550817\pi\)
\(720\) −0.961609 + 1.99680i −0.0358371 + 0.0744164i
\(721\) 22.1047 + 17.6279i 0.823223 + 0.656498i
\(722\) 14.2285 + 6.85208i 0.529529 + 0.255008i
\(723\) 2.50763 + 3.14447i 0.0932598 + 0.116944i
\(724\) 40.1607i 1.49256i
\(725\) 11.3890i 0.422976i
\(726\) 104.904 83.6585i 3.89337 3.10486i
\(727\) −12.5245 + 6.03149i −0.464508 + 0.223695i −0.651474 0.758671i \(-0.725849\pi\)
0.186966 + 0.982366i \(0.440135\pi\)
\(728\) 0.317624 + 0.0724957i 0.0117719 + 0.00268687i
\(729\) −0.962879 4.21865i −0.0356622 0.156246i
\(730\) −5.57677 −0.206406
\(731\) −20.2352 + 17.9314i −0.748427 + 0.663217i
\(732\) −45.5245 −1.68263
\(733\) −1.57644 6.90685i −0.0582272 0.255110i 0.937434 0.348163i \(-0.113195\pi\)
−0.995661 + 0.0930531i \(0.970337\pi\)
\(734\) 7.61733 + 1.73861i 0.281161 + 0.0641731i
\(735\) −1.45889 + 0.702564i −0.0538119 + 0.0259145i
\(736\) −48.2494 + 38.4776i −1.77849 + 1.41830i
\(737\) 21.0540i 0.775533i
\(738\) 42.9135i 1.57967i
\(739\) 26.7256 + 33.5129i 0.983118 + 1.23279i 0.972513 + 0.232847i \(0.0748042\pi\)
0.0106046 + 0.999944i \(0.496624\pi\)
\(740\) 1.58152 + 0.761622i 0.0581380 + 0.0279978i
\(741\) −1.99732 1.59281i −0.0733734 0.0585133i
\(742\) 10.8968 22.6274i 0.400033 0.830677i
\(743\) 14.2307 3.24806i 0.522074 0.119160i 0.0466405 0.998912i \(-0.485148\pi\)
0.475433 + 0.879752i \(0.342291\pi\)
\(744\) 1.28466 + 1.61092i 0.0470981 + 0.0590591i
\(745\) 5.99947 1.36934i 0.219804 0.0501688i
\(746\) −52.5370 + 25.3005i −1.92352 + 0.926317i
\(747\) −11.6891 + 14.6577i −0.427683 + 0.536297i
\(748\) −57.0463 + 10.9421i −2.08582 + 0.400084i
\(749\) 1.97974 8.67382i 0.0723382 0.316934i
\(750\) −13.5092 + 6.50568i −0.493286 + 0.237554i
\(751\) −5.82215 + 12.0898i −0.212453 + 0.441164i −0.979776 0.200097i \(-0.935874\pi\)
0.767323 + 0.641261i \(0.221588\pi\)
\(752\) −6.95877 + 30.4884i −0.253760 + 1.11180i
\(753\) 28.2177 + 6.44051i 1.02831 + 0.234705i
\(754\) −0.714067 + 1.48278i −0.0260048 + 0.0539995i
\(755\) 3.08738 + 6.41101i 0.112361 + 0.233321i
\(756\) −2.68413 + 11.7600i −0.0976210 + 0.427706i