Properties

Label 128.3.l.a.3.5
Level $128$
Weight $3$
Character 128.3
Analytic conductor $3.488$
Analytic rank $0$
Dimension $496$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 128 = 2^{7} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 128.l (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.48774738381\)
Analytic rank: \(0\)
Dimension: \(496\)
Relative dimension: \(31\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 3.5
Character \(\chi\) \(=\) 128.3
Dual form 128.3.l.a.43.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.78050 + 0.910937i) q^{2} +(3.84622 - 3.15651i) q^{3} +(2.34039 - 3.24385i) q^{4} +(4.46942 + 1.35578i) q^{5} +(-3.97282 + 9.12384i) q^{6} +(1.40191 + 7.04787i) q^{7} +(-1.21212 + 7.90764i) q^{8} +(3.07403 - 15.4542i) q^{9} +O(q^{10})\) \(q+(-1.78050 + 0.910937i) q^{2} +(3.84622 - 3.15651i) q^{3} +(2.34039 - 3.24385i) q^{4} +(4.46942 + 1.35578i) q^{5} +(-3.97282 + 9.12384i) q^{6} +(1.40191 + 7.04787i) q^{7} +(-1.21212 + 7.90764i) q^{8} +(3.07403 - 15.4542i) q^{9} +(-9.19284 + 1.65738i) q^{10} +(-0.993647 - 10.0887i) q^{11} +(-1.23762 - 19.8640i) q^{12} +(0.359505 + 1.18513i) q^{13} +(-8.91627 - 11.2717i) q^{14} +(21.4699 - 8.89312i) q^{15} +(-5.04518 - 15.1837i) q^{16} +(-10.7657 + 25.9907i) q^{17} +(8.60448 + 30.3165i) q^{18} +(11.7984 - 22.0732i) q^{19} +(14.8581 - 11.3251i) q^{20} +(27.6387 + 22.6825i) q^{21} +(10.9593 + 17.0578i) q^{22} +(-9.93298 + 6.63701i) q^{23} +(20.2985 + 34.2406i) q^{24} +(-2.64921 - 1.77014i) q^{25} +(-1.71968 - 1.78264i) q^{26} +(-15.8484 - 29.6503i) q^{27} +(26.1433 + 11.9472i) q^{28} +(1.85032 - 18.7866i) q^{29} +(-30.1261 + 35.3920i) q^{30} +(16.5389 + 16.5389i) q^{31} +(22.8144 + 22.4389i) q^{32} +(-35.6668 - 35.6668i) q^{33} +(-4.50752 - 56.0833i) q^{34} +(-3.28967 + 33.4006i) q^{35} +(-42.9367 - 46.1405i) q^{36} +(-31.5883 - 59.0975i) q^{37} +(-0.899741 + 50.0491i) q^{38} +(5.12361 + 3.42349i) q^{39} +(-16.1385 + 33.6992i) q^{40} +(-63.5173 + 42.4409i) q^{41} +(-69.8732 - 15.2092i) q^{42} +(15.7372 + 12.9152i) q^{43} +(-35.0517 - 20.3881i) q^{44} +(34.6916 - 64.9035i) q^{45} +(11.6398 - 20.8655i) q^{46} +(-5.16834 + 12.4775i) q^{47} +(-67.3325 - 42.4748i) q^{48} +(-2.43705 + 1.00946i) q^{49} +(6.32942 + 0.738486i) q^{50} +(40.6326 + 133.948i) q^{51} +(4.68577 + 1.60748i) q^{52} +(8.78966 + 89.2430i) q^{53} +(55.2278 + 38.3556i) q^{54} +(9.23702 - 46.4376i) q^{55} +(-57.4313 + 2.54294i) q^{56} +(-24.2952 - 122.140i) q^{57} +(13.8189 + 35.1351i) q^{58} +(-72.4950 - 21.9911i) q^{59} +(21.3999 - 90.4585i) q^{60} +(-27.8319 + 22.8410i) q^{61} +(-44.5134 - 14.3816i) q^{62} +113.229 q^{63} +(-61.0615 - 19.1700i) q^{64} +5.78425i q^{65} +(95.9950 + 31.0146i) q^{66} +(8.90184 + 10.8469i) q^{67} +(59.1140 + 95.7505i) q^{68} +(-17.2546 + 56.8810i) q^{69} +(-24.5685 - 62.4665i) q^{70} +(66.2440 - 13.1767i) q^{71} +(118.480 + 43.0406i) q^{72} +(-94.5355 - 18.8043i) q^{73} +(110.077 + 76.4484i) q^{74} +(-15.7769 + 1.55389i) q^{75} +(-43.9896 - 89.9321i) q^{76} +(69.7106 - 21.1465i) q^{77} +(-12.2412 - 1.42824i) q^{78} +(34.6154 + 83.5689i) q^{79} +(-1.96317 - 74.7026i) q^{80} +(-23.5303 - 9.74659i) q^{81} +(74.4318 - 133.426i) q^{82} +(81.3325 + 43.4731i) q^{83} +(138.264 - 36.5702i) q^{84} +(-83.3540 + 101.567i) q^{85} +(-39.7851 - 8.65995i) q^{86} +(-52.1833 - 78.0978i) q^{87} +(80.9820 + 4.37125i) q^{88} +(11.2332 - 16.8117i) q^{89} +(-2.64557 + 147.163i) q^{90} +(-7.84865 + 4.19519i) q^{91} +(-1.71753 + 47.7543i) q^{92} +(115.817 + 11.4070i) q^{93} +(-2.16395 - 26.9242i) q^{94} +(82.6584 - 82.6584i) q^{95} +(158.578 + 14.2909i) q^{96} +(40.6883 - 40.6883i) q^{97} +(3.41962 - 4.01734i) q^{98} +(-158.967 - 15.6569i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} + O(q^{10}) \) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} - 16q^{10} - 16q^{11} - 16q^{12} - 16q^{13} - 16q^{14} - 16q^{15} - 16q^{16} - 16q^{17} - 16q^{18} - 16q^{19} - 16q^{20} - 16q^{21} - 16q^{22} - 16q^{23} - 16q^{24} - 16q^{25} - 16q^{26} - 16q^{27} - 16q^{28} - 16q^{29} - 16q^{30} - 16q^{31} - 16q^{32} - 16q^{33} - 16q^{34} - 16q^{35} - 16q^{36} - 16q^{37} - 16q^{38} - 16q^{39} - 16q^{40} - 16q^{41} - 16q^{42} - 16q^{43} - 16q^{44} - 16q^{45} - 16q^{46} - 16q^{47} - 16q^{48} - 16q^{49} - 640q^{50} - 16q^{51} - 1072q^{52} - 16q^{53} - 1168q^{54} - 16q^{55} - 800q^{56} - 16q^{57} - 736q^{58} - 16q^{59} - 592q^{60} - 16q^{61} - 112q^{62} - 32q^{63} + 176q^{64} + 560q^{66} - 16q^{67} + 464q^{68} - 16q^{69} + 1328q^{70} - 16q^{71} + 1280q^{72} - 16q^{73} + 1216q^{74} - 16q^{75} + 1648q^{76} - 16q^{77} + 1424q^{78} - 16q^{79} + 800q^{80} - 16q^{81} - 16q^{82} - 16q^{83} - 16q^{84} - 16q^{85} - 16q^{86} - 16q^{87} - 16q^{88} - 16q^{89} - 16q^{90} - 16q^{91} - 16q^{92} - 16q^{93} - 16q^{94} - 16q^{95} - 16q^{96} - 16q^{97} - 16q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.78050 + 0.910937i −0.890252 + 0.455469i
\(3\) 3.84622 3.15651i 1.28207 1.05217i 0.286509 0.958077i \(-0.407505\pi\)
0.995563 0.0940927i \(-0.0299950\pi\)
\(4\) 2.34039 3.24385i 0.585097 0.810964i
\(5\) 4.46942 + 1.35578i 0.893883 + 0.271156i 0.703620 0.710577i \(-0.251566\pi\)
0.190263 + 0.981733i \(0.439066\pi\)
\(6\) −3.97282 + 9.12384i −0.662137 + 1.52064i
\(7\) 1.40191 + 7.04787i 0.200273 + 1.00684i 0.941866 + 0.335989i \(0.109070\pi\)
−0.741593 + 0.670850i \(0.765930\pi\)
\(8\) −1.21212 + 7.90764i −0.151515 + 0.988455i
\(9\) 3.07403 15.4542i 0.341559 1.71713i
\(10\) −9.19284 + 1.65738i −0.919284 + 0.165738i
\(11\) −0.993647 10.0887i −0.0903315 0.917152i −0.928399 0.371585i \(-0.878814\pi\)
0.838067 0.545567i \(-0.183686\pi\)
\(12\) −1.23762 19.8640i −0.103135 1.65534i
\(13\) 0.359505 + 1.18513i 0.0276543 + 0.0911639i 0.969681 0.244373i \(-0.0785822\pi\)
−0.942027 + 0.335537i \(0.891082\pi\)
\(14\) −8.91627 11.2717i −0.636877 0.805122i
\(15\) 21.4699 8.89312i 1.43133 0.592875i
\(16\) −5.04518 15.1837i −0.315324 0.948984i
\(17\) −10.7657 + 25.9907i −0.633275 + 1.52886i 0.202206 + 0.979343i \(0.435189\pi\)
−0.835481 + 0.549519i \(0.814811\pi\)
\(18\) 8.60448 + 30.3165i 0.478027 + 1.68425i
\(19\) 11.7984 22.0732i 0.620968 1.16175i −0.353120 0.935578i \(-0.614879\pi\)
0.974088 0.226171i \(-0.0726207\pi\)
\(20\) 14.8581 11.3251i 0.742906 0.566254i
\(21\) 27.6387 + 22.6825i 1.31613 + 1.08012i
\(22\) 10.9593 + 17.0578i 0.498152 + 0.775353i
\(23\) −9.93298 + 6.63701i −0.431869 + 0.288566i −0.752442 0.658658i \(-0.771124\pi\)
0.320573 + 0.947224i \(0.396124\pi\)
\(24\) 20.2985 + 34.2406i 0.845770 + 1.42669i
\(25\) −2.64921 1.77014i −0.105968 0.0708058i
\(26\) −1.71968 1.78264i −0.0661415 0.0685631i
\(27\) −15.8484 29.6503i −0.586979 1.09816i
\(28\) 26.1433 + 11.9472i 0.933689 + 0.426684i
\(29\) 1.85032 18.7866i 0.0638040 0.647813i −0.909096 0.416587i \(-0.863226\pi\)
0.972900 0.231226i \(-0.0742737\pi\)
\(30\) −30.1261 + 35.3920i −1.00420 + 1.17973i
\(31\) 16.5389 + 16.5389i 0.533512 + 0.533512i 0.921616 0.388104i \(-0.126870\pi\)
−0.388104 + 0.921616i \(0.626870\pi\)
\(32\) 22.8144 + 22.4389i 0.712950 + 0.701215i
\(33\) −35.6668 35.6668i −1.08081 1.08081i
\(34\) −4.50752 56.0833i −0.132574 1.64951i
\(35\) −3.28967 + 33.4006i −0.0939905 + 0.954302i
\(36\) −42.9367 46.1405i −1.19269 1.28168i
\(37\) −31.5883 59.0975i −0.853738 1.59723i −0.801033 0.598621i \(-0.795716\pi\)
−0.0527048 0.998610i \(-0.516784\pi\)
\(38\) −0.899741 + 50.0491i −0.0236774 + 1.31708i
\(39\) 5.12361 + 3.42349i 0.131375 + 0.0877817i
\(40\) −16.1385 + 33.6992i −0.403462 + 0.842479i
\(41\) −63.5173 + 42.4409i −1.54920 + 1.03514i −0.572667 + 0.819788i \(0.694091\pi\)
−0.976536 + 0.215356i \(0.930909\pi\)
\(42\) −69.8732 15.2092i −1.66365 0.362123i
\(43\) 15.7372 + 12.9152i 0.365982 + 0.300354i 0.799353 0.600862i \(-0.205176\pi\)
−0.433371 + 0.901216i \(0.642676\pi\)
\(44\) −35.0517 20.3881i −0.796629 0.463367i
\(45\) 34.6916 64.9035i 0.770925 1.44230i
\(46\) 11.6398 20.8655i 0.253039 0.453599i
\(47\) −5.16834 + 12.4775i −0.109965 + 0.265478i −0.969276 0.245974i \(-0.920892\pi\)
0.859312 + 0.511452i \(0.170892\pi\)
\(48\) −67.3325 42.4748i −1.40276 0.884892i
\(49\) −2.43705 + 1.00946i −0.0497357 + 0.0206012i
\(50\) 6.32942 + 0.738486i 0.126588 + 0.0147697i
\(51\) 40.6326 + 133.948i 0.796718 + 2.62643i
\(52\) 4.68577 + 1.60748i 0.0901110 + 0.0309131i
\(53\) 8.78966 + 89.2430i 0.165843 + 1.68383i 0.613555 + 0.789652i \(0.289739\pi\)
−0.447712 + 0.894178i \(0.647761\pi\)
\(54\) 55.2278 + 38.3556i 1.02274 + 0.710289i
\(55\) 9.23702 46.4376i 0.167946 0.844320i
\(56\) −57.4313 + 2.54294i −1.02556 + 0.0454096i
\(57\) −24.2952 122.140i −0.426231 2.14281i
\(58\) 13.8189 + 35.1351i 0.238257 + 0.605777i
\(59\) −72.4950 21.9911i −1.22873 0.372731i −0.391804 0.920049i \(-0.628149\pi\)
−0.836925 + 0.547318i \(0.815649\pi\)
\(60\) 21.3999 90.4585i 0.356664 1.50764i
\(61\) −27.8319 + 22.8410i −0.456260 + 0.374443i −0.834268 0.551359i \(-0.814109\pi\)
0.378007 + 0.925803i \(0.376609\pi\)
\(62\) −44.5134 14.3816i −0.717958 0.231962i
\(63\) 113.229 1.79728
\(64\) −61.0615 19.1700i −0.954087 0.299531i
\(65\) 5.78425i 0.0889885i
\(66\) 95.9950 + 31.0146i 1.45447 + 0.469918i
\(67\) 8.90184 + 10.8469i 0.132863 + 0.161894i 0.835192 0.549958i \(-0.185356\pi\)
−0.702329 + 0.711853i \(0.747856\pi\)
\(68\) 59.1140 + 95.7505i 0.869324 + 1.40810i
\(69\) −17.2546 + 56.8810i −0.250067 + 0.824362i
\(70\) −24.5685 62.4665i −0.350979 0.892378i
\(71\) 66.2440 13.1767i 0.933014 0.185588i 0.294898 0.955529i \(-0.404714\pi\)
0.638115 + 0.769941i \(0.279714\pi\)
\(72\) 118.480 + 43.0406i 1.64556 + 0.597786i
\(73\) −94.5355 18.8043i −1.29501 0.257593i −0.500971 0.865464i \(-0.667024\pi\)
−0.794036 + 0.607871i \(0.792024\pi\)
\(74\) 110.077 + 76.4484i 1.48753 + 1.03309i
\(75\) −15.7769 + 1.55389i −0.210359 + 0.0207185i
\(76\) −43.9896 89.9321i −0.578810 1.18332i
\(77\) 69.7106 21.1465i 0.905333 0.274630i
\(78\) −12.2412 1.42824i −0.156938 0.0183108i
\(79\) 34.6154 + 83.5689i 0.438169 + 1.05783i 0.976581 + 0.215152i \(0.0690247\pi\)
−0.538411 + 0.842682i \(0.680975\pi\)
\(80\) −1.96317 74.7026i −0.0245396 0.933783i
\(81\) −23.5303 9.74659i −0.290498 0.120328i
\(82\) 74.4318 133.426i 0.907705 1.62715i
\(83\) 81.3325 + 43.4731i 0.979909 + 0.523772i 0.881912 0.471414i \(-0.156256\pi\)
0.0979974 + 0.995187i \(0.468756\pi\)
\(84\) 138.264 36.5702i 1.64600 0.435359i
\(85\) −83.3540 + 101.567i −0.980635 + 1.19491i
\(86\) −39.7851 8.65995i −0.462618 0.100697i
\(87\) −52.1833 78.0978i −0.599808 0.897676i
\(88\) 80.9820 + 4.37125i 0.920250 + 0.0496733i
\(89\) 11.2332 16.8117i 0.126216 0.188895i −0.762980 0.646422i \(-0.776265\pi\)
0.889196 + 0.457527i \(0.151265\pi\)
\(90\) −2.64557 + 147.163i −0.0293953 + 1.63514i
\(91\) −7.84865 + 4.19519i −0.0862489 + 0.0461010i
\(92\) −1.71753 + 47.7543i −0.0186688 + 0.519069i
\(93\) 115.817 + 11.4070i 1.24535 + 0.122656i
\(94\) −2.16395 26.9242i −0.0230208 0.286428i
\(95\) 82.6584 82.6584i 0.870088 0.870088i
\(96\) 158.578 + 14.2909i 1.65185 + 0.148863i
\(97\) 40.6883 40.6883i 0.419467 0.419467i −0.465553 0.885020i \(-0.654144\pi\)
0.885020 + 0.465553i \(0.154144\pi\)
\(98\) 3.41962 4.01734i 0.0348941 0.0409933i
\(99\) −158.967 15.6569i −1.60572 0.158150i
\(100\) −11.9423 + 4.45083i −0.119423 + 0.0445083i
\(101\) −122.924 + 65.7043i −1.21707 + 0.650537i −0.949732 0.313065i \(-0.898644\pi\)
−0.267338 + 0.963603i \(0.586144\pi\)
\(102\) −194.364 201.481i −1.90553 1.97530i
\(103\) 4.49240 6.72335i 0.0436155 0.0652752i −0.809021 0.587780i \(-0.800002\pi\)
0.852637 + 0.522504i \(0.175002\pi\)
\(104\) −9.80735 + 1.40632i −0.0943014 + 0.0135223i
\(105\) 92.7764 + 138.850i 0.883585 + 1.32238i
\(106\) −96.9448 150.891i −0.914573 1.42350i
\(107\) −34.1097 + 41.5628i −0.318782 + 0.388437i −0.907605 0.419825i \(-0.862092\pi\)
0.588823 + 0.808262i \(0.299592\pi\)
\(108\) −133.273 17.9832i −1.23401 0.166511i
\(109\) 15.7341 + 8.41005i 0.144350 + 0.0771565i 0.541990 0.840385i \(-0.317671\pi\)
−0.397641 + 0.917541i \(0.630171\pi\)
\(110\) 25.8552 + 91.0967i 0.235047 + 0.828152i
\(111\) −308.037 127.593i −2.77511 1.14949i
\(112\) 99.9402 56.8440i 0.892323 0.507536i
\(113\) −34.2979 82.8024i −0.303521 0.732765i −0.999886 0.0150771i \(-0.995201\pi\)
0.696365 0.717688i \(-0.254799\pi\)
\(114\) 154.520 + 195.340i 1.35544 + 1.71351i
\(115\) −53.3930 + 16.1966i −0.464287 + 0.140840i
\(116\) −56.6104 49.9700i −0.488021 0.430776i
\(117\) 19.4204 1.91274i 0.165986 0.0163482i
\(118\) 149.110 26.8831i 1.26365 0.227823i
\(119\) −198.271 39.4386i −1.66615 0.331417i
\(120\) 44.2996 + 180.556i 0.369163 + 1.50463i
\(121\) 17.8812 3.55678i 0.147778 0.0293949i
\(122\) 28.7480 66.0217i 0.235640 0.541161i
\(123\) −110.336 + 363.730i −0.897043 + 2.95715i
\(124\) 92.3570 14.9423i 0.744814 0.120503i
\(125\) −83.5143 101.762i −0.668114 0.814099i
\(126\) −201.604 + 103.144i −1.60003 + 0.818605i
\(127\) 65.8853i 0.518782i −0.965772 0.259391i \(-0.916478\pi\)
0.965772 0.259391i \(-0.0835218\pi\)
\(128\) 126.183 21.4910i 0.985804 0.167899i
\(129\) 101.296 0.785239
\(130\) −5.26909 10.2989i −0.0405315 0.0792221i
\(131\) 200.592 164.622i 1.53124 1.25666i 0.678103 0.734967i \(-0.262803\pi\)
0.853136 0.521688i \(-0.174697\pi\)
\(132\) −199.172 + 32.2238i −1.50888 + 0.244120i
\(133\) 172.110 + 52.2089i 1.29406 + 0.392548i
\(134\) −25.7306 11.2040i −0.192020 0.0836117i
\(135\) −30.6338 154.007i −0.226917 1.14079i
\(136\) −192.475 116.635i −1.41526 0.857609i
\(137\) −18.8615 + 94.8231i −0.137675 + 0.692139i 0.848864 + 0.528612i \(0.177287\pi\)
−0.986539 + 0.163528i \(0.947713\pi\)
\(138\) −21.0930 116.995i −0.152848 0.847787i
\(139\) −14.2809 144.997i −0.102740 1.04314i −0.898929 0.438093i \(-0.855654\pi\)
0.796189 0.605048i \(-0.206846\pi\)
\(140\) 100.647 + 88.8414i 0.718910 + 0.634581i
\(141\) 19.5067 + 64.3051i 0.138346 + 0.456064i
\(142\) −105.944 + 83.8054i −0.746088 + 0.590179i
\(143\) 11.5992 4.80453i 0.0811130 0.0335981i
\(144\) −250.162 + 31.2940i −1.73723 + 0.217319i
\(145\) 33.7403 81.4564i 0.232692 0.561768i
\(146\) 185.450 52.6348i 1.27021 0.360513i
\(147\) −6.18706 + 11.5752i −0.0420888 + 0.0787427i
\(148\) −265.633 35.8432i −1.79481 0.242184i
\(149\) 82.1471 + 67.4164i 0.551323 + 0.452459i 0.868346 0.495959i \(-0.165183\pi\)
−0.317023 + 0.948418i \(0.602683\pi\)
\(150\) 26.6754 17.1385i 0.177836 0.114257i
\(151\) 193.712 129.434i 1.28286 0.857179i 0.287919 0.957655i \(-0.407037\pi\)
0.994939 + 0.100476i \(0.0320366\pi\)
\(152\) 160.246 + 120.053i 1.05425 + 0.789821i
\(153\) 368.570 + 246.271i 2.40896 + 1.60961i
\(154\) −104.857 + 101.153i −0.680889 + 0.656840i
\(155\) 51.4960 + 96.3422i 0.332232 + 0.621562i
\(156\) 23.0965 8.60797i 0.148055 0.0551793i
\(157\) −19.1248 + 194.177i −0.121814 + 1.23680i 0.718821 + 0.695195i \(0.244682\pi\)
−0.840635 + 0.541602i \(0.817818\pi\)
\(158\) −137.759 117.262i −0.871891 0.742166i
\(159\) 315.503 + 315.503i 1.98430 + 1.98430i
\(160\) 71.5449 + 131.220i 0.447155 + 0.820125i
\(161\) −60.7019 60.7019i −0.377031 0.377031i
\(162\) 50.7744 4.08083i 0.313422 0.0251903i
\(163\) 5.91220 60.0276i 0.0362712 0.368268i −0.959866 0.280459i \(-0.909513\pi\)
0.996137 0.0878090i \(-0.0279865\pi\)
\(164\) −10.9829 + 305.369i −0.0669689 + 1.86201i
\(165\) −111.053 207.766i −0.673050 1.25919i
\(166\) −184.414 3.31525i −1.11093 0.0199714i
\(167\) −82.5058 55.1286i −0.494047 0.330111i 0.283462 0.958983i \(-0.408517\pi\)
−0.777509 + 0.628872i \(0.783517\pi\)
\(168\) −212.867 + 191.063i −1.26706 + 1.13728i
\(169\) 139.243 93.0392i 0.823924 0.550528i
\(170\) 55.8908 256.771i 0.328769 1.51042i
\(171\) −304.855 250.188i −1.78278 1.46309i
\(172\) 78.7262 20.8227i 0.457711 0.121062i
\(173\) 127.955 239.387i 0.739624 1.38374i −0.177090 0.984195i \(-0.556668\pi\)
0.916714 0.399545i \(-0.130832\pi\)
\(174\) 164.055 + 91.5177i 0.942843 + 0.525964i
\(175\) 8.76180 21.1529i 0.0500674 0.120874i
\(176\) −148.171 + 65.9865i −0.841878 + 0.374923i
\(177\) −348.247 + 144.249i −1.96750 + 0.814964i
\(178\) −4.68637 + 40.1659i −0.0263279 + 0.225651i
\(179\) −49.6460 163.661i −0.277352 0.914307i −0.979358 0.202135i \(-0.935212\pi\)
0.702006 0.712171i \(-0.252288\pi\)
\(180\) −129.346 264.434i −0.718587 1.46908i
\(181\) 18.1076 + 183.849i 0.100042 + 1.01574i 0.905859 + 0.423579i \(0.139226\pi\)
−0.805817 + 0.592164i \(0.798274\pi\)
\(182\) 10.1530 14.6192i 0.0557857 0.0803252i
\(183\) −34.9496 + 175.703i −0.190981 + 0.960127i
\(184\) −40.4431 86.5913i −0.219800 0.470605i
\(185\) −61.0578 306.958i −0.330042 1.65923i
\(186\) −216.604 + 85.1920i −1.16454 + 0.458021i
\(187\) 272.908 + 82.7858i 1.45940 + 0.442705i
\(188\) 28.3792 + 45.9675i 0.150953 + 0.244508i
\(189\) 186.754 153.265i 0.988115 0.810925i
\(190\) −71.8769 + 222.470i −0.378300 + 1.17090i
\(191\) −140.911 −0.737751 −0.368876 0.929479i \(-0.620257\pi\)
−0.368876 + 0.929479i \(0.620257\pi\)
\(192\) −295.366 + 119.009i −1.53837 + 0.619841i
\(193\) 146.716i 0.760189i −0.924948 0.380094i \(-0.875892\pi\)
0.924948 0.380094i \(-0.124108\pi\)
\(194\) −35.3812 + 109.510i −0.182377 + 0.564486i
\(195\) 18.2580 + 22.2475i 0.0936310 + 0.114090i
\(196\) −2.42910 + 10.2680i −0.0123934 + 0.0523875i
\(197\) 42.6379 140.558i 0.216436 0.713495i −0.779738 0.626106i \(-0.784648\pi\)
0.996174 0.0873888i \(-0.0278522\pi\)
\(198\) 297.303 116.932i 1.50153 0.590564i
\(199\) −28.4646 + 5.66196i −0.143038 + 0.0284520i −0.266090 0.963948i \(-0.585732\pi\)
0.123052 + 0.992400i \(0.460732\pi\)
\(200\) 17.2088 18.8034i 0.0860441 0.0940168i
\(201\) 68.4769 + 13.6209i 0.340681 + 0.0677657i
\(202\) 159.014 228.963i 0.787199 1.13348i
\(203\) 134.999 13.2963i 0.665021 0.0654989i
\(204\) 529.603 + 181.683i 2.59609 + 0.890604i
\(205\) −341.426 + 103.570i −1.66549 + 0.505221i
\(206\) −1.87418 + 16.0632i −0.00909797 + 0.0779769i
\(207\) 72.0353 + 173.909i 0.347997 + 0.840138i
\(208\) 16.1809 11.4378i 0.0777930 0.0549896i
\(209\) −234.413 97.0970i −1.12159 0.464579i
\(210\) −291.672 162.709i −1.38891 0.774804i
\(211\) −0.356143 0.190362i −0.00168788 0.000902192i 0.470553 0.882372i \(-0.344055\pi\)
−0.472240 + 0.881470i \(0.656555\pi\)
\(212\) 310.062 + 180.351i 1.46256 + 0.850710i
\(213\) 213.196 259.780i 1.00092 1.21963i
\(214\) 22.8713 105.075i 0.106875 0.491002i
\(215\) 52.8260 + 79.0597i 0.245702 + 0.367719i
\(216\) 253.674 89.3840i 1.17442 0.413815i
\(217\) −93.3778 + 139.750i −0.430312 + 0.644008i
\(218\) −35.6757 0.641348i −0.163650 0.00294196i
\(219\) −422.960 + 226.077i −1.93132 + 1.03231i
\(220\) −129.019 138.645i −0.586449 0.630207i
\(221\) −34.6726 3.41496i −0.156890 0.0154523i
\(222\) 664.691 53.4225i 2.99410 0.240642i
\(223\) 21.9128 21.9128i 0.0982637 0.0982637i −0.656266 0.754530i \(-0.727865\pi\)
0.754530 + 0.656266i \(0.227865\pi\)
\(224\) −126.163 + 192.250i −0.563226 + 0.858260i
\(225\) −35.4999 + 35.4999i −0.157777 + 0.157777i
\(226\) 136.495 + 116.187i 0.603962 + 0.514101i
\(227\) −107.454 10.5833i −0.473368 0.0466227i −0.141479 0.989941i \(-0.545186\pi\)
−0.331889 + 0.943319i \(0.607686\pi\)
\(228\) −453.065 207.045i −1.98713 0.908093i
\(229\) −110.186 + 58.8958i −0.481163 + 0.257187i −0.694099 0.719879i \(-0.744197\pi\)
0.212937 + 0.977066i \(0.431697\pi\)
\(230\) 80.3123 77.4757i 0.349184 0.336851i
\(231\) 201.373 301.376i 0.871746 1.30466i
\(232\) 146.315 + 37.4032i 0.630666 + 0.161221i
\(233\) 5.16773 + 7.73405i 0.0221791 + 0.0331933i 0.842393 0.538863i \(-0.181146\pi\)
−0.820214 + 0.572056i \(0.806146\pi\)
\(234\) −32.8356 + 21.0964i −0.140323 + 0.0901554i
\(235\) −40.0162 + 48.7599i −0.170282 + 0.207489i
\(236\) −241.002 + 183.696i −1.02120 + 0.778371i
\(237\) 396.924 + 212.160i 1.67479 + 0.895192i
\(238\) 388.949 110.392i 1.63424 0.463833i
\(239\) −300.597 124.512i −1.25773 0.520969i −0.348518 0.937302i \(-0.613315\pi\)
−0.909212 + 0.416334i \(0.863315\pi\)
\(240\) −243.350 281.126i −1.01396 1.17136i
\(241\) 33.9486 + 81.9592i 0.140866 + 0.340080i 0.978530 0.206106i \(-0.0660793\pi\)
−0.837664 + 0.546186i \(0.816079\pi\)
\(242\) −28.5975 + 22.6215i −0.118171 + 0.0934772i
\(243\) 168.284 51.0485i 0.692528 0.210076i
\(244\) 8.95564 + 143.739i 0.0367035 + 0.589096i
\(245\) −12.2608 + 1.20758i −0.0500441 + 0.00492891i
\(246\) −134.881 748.132i −0.548297 3.04119i
\(247\) 30.4012 + 6.04718i 0.123082 + 0.0244825i
\(248\) −150.830 + 110.736i −0.608187 + 0.446517i
\(249\) 450.046 89.5197i 1.80741 0.359517i
\(250\) 241.397 + 105.112i 0.965587 + 0.420448i
\(251\) 43.7048 144.075i 0.174123 0.574005i −0.825827 0.563924i \(-0.809291\pi\)
0.999949 0.0100812i \(-0.00320900\pi\)
\(252\) 264.999 367.297i 1.05158 1.45753i
\(253\) 76.8284 + 93.6157i 0.303670 + 0.370023i
\(254\) 60.0173 + 117.309i 0.236289 + 0.461846i
\(255\) 653.757i 2.56375i
\(256\) −205.092 + 153.210i −0.801142 + 0.598475i
\(257\) −76.2858 −0.296832 −0.148416 0.988925i \(-0.547417\pi\)
−0.148416 + 0.988925i \(0.547417\pi\)
\(258\) −180.358 + 92.2741i −0.699060 + 0.357652i
\(259\) 372.228 305.480i 1.43717 1.17946i
\(260\) 18.7633 + 13.5374i 0.0721664 + 0.0520668i
\(261\) −284.643 86.3456i −1.09059 0.330826i
\(262\) −207.195 + 475.837i −0.790821 + 1.81617i
\(263\) 81.2269 + 408.355i 0.308848 + 1.55268i 0.753786 + 0.657120i \(0.228226\pi\)
−0.444938 + 0.895561i \(0.646774\pi\)
\(264\) 325.272 238.808i 1.23209 0.904574i
\(265\) −81.7094 + 410.781i −0.308337 + 1.55012i
\(266\) −354.001 + 63.8229i −1.33083 + 0.239936i
\(267\) −9.86086 100.119i −0.0369320 0.374977i
\(268\) 56.0196 3.49028i 0.209028 0.0130234i
\(269\) 43.2696 + 142.641i 0.160854 + 0.530263i 0.999905 0.0137891i \(-0.00438934\pi\)
−0.839051 + 0.544052i \(0.816889\pi\)
\(270\) 194.834 + 246.304i 0.721608 + 0.912237i
\(271\) −125.399 + 51.9421i −0.462728 + 0.191668i −0.601854 0.798606i \(-0.705571\pi\)
0.139125 + 0.990275i \(0.455571\pi\)
\(272\) 448.950 + 32.3357i 1.65055 + 0.118881i
\(273\) −16.9455 + 40.9100i −0.0620713 + 0.149853i
\(274\) −52.7950 186.015i −0.192682 0.678885i
\(275\) −15.2260 + 28.4859i −0.0553673 + 0.103585i
\(276\) 144.131 + 189.095i 0.522214 + 0.685127i
\(277\) 281.951 + 231.391i 1.01787 + 0.835348i 0.986434 0.164158i \(-0.0524905\pi\)
0.0314405 + 0.999506i \(0.489991\pi\)
\(278\) 157.510 + 245.158i 0.566583 + 0.881864i
\(279\) 306.436 204.754i 1.09834 0.733884i
\(280\) −260.132 66.4989i −0.929043 0.237496i
\(281\) 168.150 + 112.354i 0.598400 + 0.399838i 0.817554 0.575852i \(-0.195330\pi\)
−0.219154 + 0.975690i \(0.570330\pi\)
\(282\) −93.3097 96.7260i −0.330885 0.343000i
\(283\) −190.344 356.108i −0.672593 1.25833i −0.954305 0.298834i \(-0.903402\pi\)
0.281712 0.959499i \(-0.409098\pi\)
\(284\) 112.293 245.724i 0.395398 0.865227i
\(285\) 57.0102 578.834i 0.200036 2.03100i
\(286\) −16.2757 + 19.1206i −0.0569081 + 0.0668552i
\(287\) −388.164 388.164i −1.35249 1.35249i
\(288\) 416.907 283.600i 1.44759 0.984724i
\(289\) −355.260 355.260i −1.22927 1.22927i
\(290\) 14.1269 + 175.769i 0.0487133 + 0.606099i
\(291\) 28.0631 284.929i 0.0964367 0.979138i
\(292\) −282.248 + 262.650i −0.966603 + 0.899487i
\(293\) −40.2428 75.2890i −0.137348 0.256959i 0.803839 0.594847i \(-0.202787\pi\)
−0.941186 + 0.337888i \(0.890287\pi\)
\(294\) 0.471823 26.2457i 0.00160484 0.0892709i
\(295\) −294.195 196.575i −0.997272 0.666356i
\(296\) 505.611 178.156i 1.70814 0.601877i
\(297\) −283.385 + 189.351i −0.954157 + 0.637547i
\(298\) −207.675 45.2043i −0.696897 0.151692i
\(299\) −11.4367 9.38584i −0.0382498 0.0313908i
\(300\) −31.8835 + 54.8147i −0.106278 + 0.182716i
\(301\) −68.9626 + 129.020i −0.229112 + 0.428638i
\(302\) −226.998 + 406.917i −0.751649 + 1.34741i
\(303\) −265.397 + 640.724i −0.875896 + 2.11460i
\(304\) −394.679 67.7802i −1.29829 0.222961i
\(305\) −155.360 + 64.3521i −0.509376 + 0.210991i
\(306\) −880.578 102.742i −2.87771 0.335757i
\(307\) 33.4202 + 110.171i 0.108860 + 0.358865i 0.994398 0.105704i \(-0.0337095\pi\)
−0.885537 + 0.464568i \(0.846209\pi\)
\(308\) 94.5537 275.622i 0.306992 0.894877i
\(309\) −3.94357 40.0398i −0.0127624 0.129579i
\(310\) −179.450 124.628i −0.578872 0.402026i
\(311\) −8.71434 + 43.8100i −0.0280204 + 0.140868i −0.992263 0.124153i \(-0.960379\pi\)
0.964243 + 0.265021i \(0.0853788\pi\)
\(312\) −33.2821 + 36.3660i −0.106673 + 0.116558i
\(313\) 41.6874 + 209.577i 0.133187 + 0.669574i 0.988470 + 0.151414i \(0.0483827\pi\)
−0.855284 + 0.518160i \(0.826617\pi\)
\(314\) −142.832 363.155i −0.454878 1.15654i
\(315\) 506.066 + 153.513i 1.60656 + 0.487344i
\(316\) 352.099 + 83.2963i 1.11424 + 0.263596i
\(317\) 273.031 224.071i 0.861297 0.706848i −0.0961779 0.995364i \(-0.530662\pi\)
0.957475 + 0.288516i \(0.0931618\pi\)
\(318\) −849.159 274.351i −2.67031 0.862739i
\(319\) −191.370 −0.599906
\(320\) −246.919 168.465i −0.771622 0.526452i
\(321\) 267.527i 0.833418i
\(322\) 163.376 + 52.7843i 0.507378 + 0.163927i
\(323\) 446.680 + 544.281i 1.38291 + 1.68508i
\(324\) −86.6866 + 53.5182i −0.267551 + 0.165180i
\(325\) 1.14545 3.77603i 0.00352445 0.0116186i
\(326\) 44.1547 + 112.265i 0.135444 + 0.344371i
\(327\) 87.0632 17.3180i 0.266248 0.0529601i
\(328\) −258.617 553.715i −0.788466 1.68816i
\(329\) −95.1853 18.9335i −0.289317 0.0575487i
\(330\) 386.992 + 268.766i 1.17270 + 0.814441i
\(331\) −148.139 + 14.5904i −0.447549 + 0.0440798i −0.319282 0.947660i \(-0.603442\pi\)
−0.128268 + 0.991740i \(0.540942\pi\)
\(332\) 331.370 162.087i 0.998102 0.488213i
\(333\) −1010.41 + 306.504i −3.03426 + 0.920432i
\(334\) 197.121 + 22.9991i 0.590181 + 0.0688595i
\(335\) 25.0800 + 60.5484i 0.0748656 + 0.180741i
\(336\) 204.963 534.097i 0.610009 1.58957i
\(337\) 309.916 + 128.372i 0.919633 + 0.380925i 0.791736 0.610863i \(-0.209177\pi\)
0.127897 + 0.991787i \(0.459177\pi\)
\(338\) −163.170 + 292.498i −0.482751 + 0.865380i
\(339\) −393.284 210.215i −1.16013 0.620102i
\(340\) 134.388 + 508.094i 0.395260 + 1.49440i
\(341\) 150.421 183.289i 0.441118 0.537504i
\(342\) 770.702 + 167.757i 2.25351 + 0.490518i
\(343\) 185.092 + 277.009i 0.539626 + 0.807607i
\(344\) −121.204 + 108.790i −0.352338 + 0.316249i
\(345\) −154.236 + 230.831i −0.447062 + 0.669076i
\(346\) −9.75781 + 542.788i −0.0282018 + 1.56875i
\(347\) 107.834 57.6384i 0.310760 0.166105i −0.308643 0.951178i \(-0.599875\pi\)
0.619403 + 0.785073i \(0.287375\pi\)
\(348\) −375.467 13.5040i −1.07893 0.0388047i
\(349\) −482.737 47.5455i −1.38320 0.136233i −0.621121 0.783715i \(-0.713322\pi\)
−0.762081 + 0.647481i \(0.775822\pi\)
\(350\) 3.66851 + 45.6442i 0.0104815 + 0.130412i
\(351\) 29.4419 29.4419i 0.0838801 0.0838801i
\(352\) 203.709 252.463i 0.578718 0.717225i
\(353\) 351.544 351.544i 0.995874 0.995874i −0.00411724 0.999992i \(-0.501311\pi\)
0.999992 + 0.00411724i \(0.00131056\pi\)
\(354\) 488.653 574.066i 1.38038 1.62166i
\(355\) 313.937 + 30.9201i 0.884329 + 0.0870988i
\(356\) −28.2446 75.7846i −0.0793386 0.212878i
\(357\) −887.083 + 474.156i −2.48483 + 1.32817i
\(358\) 237.480 + 246.174i 0.663351 + 0.687638i
\(359\) 138.211 206.848i 0.384989 0.576177i −0.587471 0.809245i \(-0.699876\pi\)
0.972460 + 0.233068i \(0.0748764\pi\)
\(360\) 471.183 + 353.000i 1.30884 + 0.980555i
\(361\) −147.465 220.696i −0.408489 0.611347i
\(362\) −199.716 310.850i −0.551701 0.858701i
\(363\) 57.5478 70.1222i 0.158534 0.193174i
\(364\) −4.76028 + 35.2783i −0.0130777 + 0.0969183i
\(365\) −397.024 212.214i −1.08774 0.581408i
\(366\) −97.8269 344.677i −0.267287 0.941741i
\(367\) 393.787 + 163.112i 1.07299 + 0.444446i 0.848044 0.529925i \(-0.177780\pi\)
0.224944 + 0.974372i \(0.427780\pi\)
\(368\) 150.888 + 117.335i 0.410023 + 0.318845i
\(369\) 460.636 + 1112.07i 1.24834 + 3.01375i
\(370\) 388.333 + 490.921i 1.04955 + 1.32681i
\(371\) −616.651 + 187.059i −1.66213 + 0.504202i
\(372\) 308.060 348.997i 0.828117 0.938165i
\(373\) −578.968 + 57.0234i −1.55219 + 0.152878i −0.837452 0.546511i \(-0.815956\pi\)
−0.714742 + 0.699389i \(0.753456\pi\)
\(374\) −561.327 + 101.202i −1.50087 + 0.270593i
\(375\) −642.428 127.787i −1.71314 0.340765i
\(376\) −92.4028 55.9936i −0.245752 0.148919i
\(377\) 22.9297 4.56101i 0.0608215 0.0120982i
\(378\) −192.901 + 443.009i −0.510320 + 1.17198i
\(379\) 58.9886 194.459i 0.155643 0.513085i −0.844090 0.536201i \(-0.819859\pi\)
0.999733 + 0.0231161i \(0.00735875\pi\)
\(380\) −74.6792 461.584i −0.196524 1.21470i
\(381\) −207.968 253.409i −0.545846 0.665116i
\(382\) 250.892 128.361i 0.656784 0.336023i
\(383\) 196.122i 0.512069i −0.966668 0.256035i \(-0.917584\pi\)
0.966668 0.256035i \(-0.0824161\pi\)
\(384\) 417.491 480.957i 1.08722 1.25249i
\(385\) 340.236 0.883729
\(386\) 133.649 + 261.229i 0.346242 + 0.676759i
\(387\) 247.971 203.504i 0.640751 0.525851i
\(388\) −36.7606 227.213i −0.0947438 0.585602i
\(389\) 124.644 + 37.8105i 0.320423 + 0.0971991i 0.446399 0.894834i \(-0.352706\pi\)
−0.125976 + 0.992033i \(0.540206\pi\)
\(390\) −52.7746 22.9798i −0.135319 0.0589226i
\(391\) −65.5648 329.617i −0.167685 0.843009i
\(392\) −5.02845 20.4949i −0.0128277 0.0522829i
\(393\) 251.891 1266.34i 0.640945 3.22225i
\(394\) 52.1229 + 289.105i 0.132292 + 0.733770i
\(395\) 41.4092 + 420.435i 0.104834 + 1.06439i
\(396\) −422.832 + 479.022i −1.06776 + 1.20965i
\(397\) −44.0406 145.183i −0.110934 0.365699i 0.883842 0.467786i \(-0.154948\pi\)
−0.994776 + 0.102087i \(0.967448\pi\)
\(398\) 45.5236 36.0106i 0.114381 0.0904788i
\(399\) 826.769 342.459i 2.07210 0.858293i
\(400\) −13.5117 + 49.1556i −0.0337792 + 0.122889i
\(401\) 176.750 426.713i 0.440773 1.06412i −0.534904 0.844913i \(-0.679652\pi\)
0.975678 0.219209i \(-0.0703476\pi\)
\(402\) −134.331 + 38.1261i −0.334157 + 0.0948410i
\(403\) −13.6549 + 25.5465i −0.0338831 + 0.0633909i
\(404\) −74.5547 + 552.521i −0.184541 + 1.36763i
\(405\) −91.9526 75.4636i −0.227044 0.186330i
\(406\) −228.255 + 146.650i −0.562204 + 0.361207i
\(407\) −564.828 + 377.406i −1.38778 + 0.927287i
\(408\) −1108.46 + 158.948i −2.71682 + 0.389577i
\(409\) 404.541 + 270.306i 0.989099 + 0.660895i 0.941162 0.337956i \(-0.109735\pi\)
0.0479368 + 0.998850i \(0.484735\pi\)
\(410\) 513.564 495.425i 1.25259 1.20835i
\(411\) 226.765 + 424.247i 0.551739 + 1.03223i
\(412\) −11.2956 30.3079i −0.0274165 0.0735629i
\(413\) 53.3592 541.765i 0.129199 1.31178i
\(414\) −286.679 244.025i −0.692461 0.589433i
\(415\) 304.569 + 304.569i 0.733900 + 0.733900i
\(416\) −18.3911 + 35.1049i −0.0442093 + 0.0843869i
\(417\) −512.611 512.611i −1.22928 1.22928i
\(418\) 505.822 40.6539i 1.21010 0.0972581i
\(419\) 6.81643 69.2083i 0.0162683 0.165175i −0.983618 0.180267i \(-0.942304\pi\)
0.999886 + 0.0150915i \(0.00480396\pi\)
\(420\) 667.541 + 24.0088i 1.58938 + 0.0571638i
\(421\) 107.164 + 200.491i 0.254547 + 0.476225i 0.976442 0.215778i \(-0.0692287\pi\)
−0.721895 + 0.692002i \(0.756729\pi\)
\(422\) 0.807522 + 0.0145170i 0.00191356 + 3.44004e-5i
\(423\) 176.942 + 118.229i 0.418302 + 0.279501i
\(424\) −716.355 38.6675i −1.68952 0.0911969i
\(425\) 74.5277 49.7978i 0.175359 0.117171i
\(426\) −142.953 + 656.748i −0.335571 + 1.54166i
\(427\) −199.998 164.135i −0.468381 0.384390i
\(428\) 54.9938 + 207.920i 0.128490 + 0.485794i
\(429\) 29.4474 55.0921i 0.0686419 0.128420i
\(430\) −166.075 92.6449i −0.386222 0.215453i
\(431\) 225.056 543.334i 0.522172 1.26064i −0.414379 0.910105i \(-0.636001\pi\)
0.936551 0.350531i \(-0.113999\pi\)
\(432\) −370.245 + 390.230i −0.857048 + 0.903310i
\(433\) 486.197 201.389i 1.12286 0.465102i 0.257509 0.966276i \(-0.417098\pi\)
0.865347 + 0.501174i \(0.167098\pi\)
\(434\) 38.9562 333.886i 0.0897609 0.769323i
\(435\) −127.345 419.801i −0.292747 0.965059i
\(436\) 64.1049 31.3564i 0.147030 0.0719183i
\(437\) 29.3070 + 297.559i 0.0670641 + 0.680913i
\(438\) 547.140 787.821i 1.24918 1.79868i
\(439\) −152.456 + 766.447i −0.347280 + 1.74589i 0.273468 + 0.961881i \(0.411829\pi\)
−0.620747 + 0.784011i \(0.713171\pi\)
\(440\) 356.016 + 129.331i 0.809126 + 0.293934i
\(441\) 8.10881 + 40.7657i 0.0183873 + 0.0924393i
\(442\) 64.8455 25.5043i 0.146709 0.0577019i
\(443\) 254.252 + 77.1265i 0.573932 + 0.174100i 0.563891 0.825849i \(-0.309304\pi\)
0.0100411 + 0.999950i \(0.496804\pi\)
\(444\) −1134.82 + 700.611i −2.55590 + 1.57795i
\(445\) 72.9987 59.9085i 0.164042 0.134626i
\(446\) −19.0546 + 58.9770i −0.0427234 + 0.132236i
\(447\) 528.756 1.18290
\(448\) 49.5049 457.228i 0.110502 1.02060i
\(449\) 342.019i 0.761735i 0.924630 + 0.380867i \(0.124375\pi\)
−0.924630 + 0.380867i \(0.875625\pi\)
\(450\) 30.8695 95.5459i 0.0685989 0.212324i
\(451\) 491.286 + 598.634i 1.08933 + 1.32735i
\(452\) −348.869 82.5323i −0.771835 0.182594i
\(453\) 336.498 1109.28i 0.742820 2.44875i
\(454\) 200.964 79.0406i 0.442652 0.174098i
\(455\) −40.7667 + 8.10899i −0.0895970 + 0.0178220i
\(456\) 995.289 44.0693i 2.18265 0.0966433i
\(457\) −286.681 57.0244i −0.627310 0.124780i −0.128810 0.991669i \(-0.541116\pi\)
−0.498500 + 0.866889i \(0.666116\pi\)
\(458\) 142.537 205.237i 0.311215 0.448116i
\(459\) 941.251 92.7051i 2.05065 0.201972i
\(460\) −72.4208 + 211.105i −0.157437 + 0.458925i
\(461\) −2.93038 + 0.888920i −0.00635657 + 0.00192824i −0.293461 0.955971i \(-0.594807\pi\)
0.287105 + 0.957899i \(0.407307\pi\)
\(462\) −84.0108 + 720.040i −0.181842 + 1.55853i
\(463\) −206.720 499.067i −0.446480 1.07790i −0.973631 0.228127i \(-0.926740\pi\)
0.527151 0.849771i \(-0.323260\pi\)
\(464\) −294.586 + 66.6870i −0.634883 + 0.143722i
\(465\) 502.170 + 208.005i 1.07993 + 0.447324i
\(466\) −16.2464 9.06303i −0.0348635 0.0194486i
\(467\) 425.483 + 227.426i 0.911099 + 0.486993i 0.859189 0.511659i \(-0.170969\pi\)
0.0519108 + 0.998652i \(0.483469\pi\)
\(468\) 39.2465 67.4734i 0.0838600 0.144174i
\(469\) −63.9682 + 77.9454i −0.136393 + 0.166195i
\(470\) 26.8318 123.270i 0.0570890 0.262276i
\(471\) 539.364 + 807.216i 1.14515 + 1.71383i
\(472\) 261.770 546.609i 0.554598 1.15807i
\(473\) 114.660 171.601i 0.242410 0.362792i
\(474\) −899.990 16.1793i −1.89871 0.0341335i
\(475\) −70.3292 + 37.5917i −0.148061 + 0.0791405i
\(476\) −591.965 + 550.862i −1.24362 + 1.15727i
\(477\) 1406.20 + 138.498i 2.94800 + 0.290353i
\(478\) 648.637 52.1322i 1.35698 0.109063i
\(479\) 146.747 146.747i 0.306361 0.306361i −0.537135 0.843496i \(-0.680494\pi\)
0.843496 + 0.537135i \(0.180494\pi\)
\(480\) 689.374 + 278.869i 1.43620 + 0.580977i
\(481\) 58.6821 58.6821i 0.122000 0.122000i
\(482\) −135.105 115.004i −0.280301 0.238597i
\(483\) −425.079 41.8666i −0.880081 0.0866804i
\(484\) 30.3111 66.3281i 0.0626263 0.137042i
\(485\) 237.018 126.689i 0.488696 0.261213i
\(486\) −253.129 + 244.188i −0.520841 + 0.502445i
\(487\) −72.2855 + 108.183i −0.148430 + 0.222142i −0.898233 0.439520i \(-0.855148\pi\)
0.749802 + 0.661662i \(0.230148\pi\)
\(488\) −146.883 247.771i −0.300990 0.507727i
\(489\) −166.738 249.541i −0.340978 0.510309i
\(490\) 20.7304 13.3189i 0.0423069 0.0271815i
\(491\) −322.430 + 392.882i −0.656680 + 0.800167i −0.989761 0.142731i \(-0.954412\pi\)
0.333082 + 0.942898i \(0.391912\pi\)
\(492\) 921.658 + 1209.18i 1.87329 + 2.45769i
\(493\) 468.355 + 250.341i 0.950011 + 0.507791i
\(494\) −59.6381 + 16.9266i −0.120725 + 0.0342643i
\(495\) −689.261 285.501i −1.39245 0.576770i
\(496\) 167.680 334.563i 0.338065 0.674523i
\(497\) 185.736 + 448.406i 0.373714 + 0.902226i
\(498\) −719.761 + 569.354i −1.44530 + 1.14328i
\(499\) 286.941 87.0426i 0.575032 0.174434i 0.0106434 0.999943i \(-0.496612\pi\)
0.564388 + 0.825509i \(0.309112\pi\)
\(500\) −525.558 + 32.7447i −1.05112 + 0.0654895i
\(501\) −491.349 + 48.3937i −0.980737 + 0.0965942i
\(502\) 53.4271 + 296.339i 0.106428 + 0.590317i
\(503\) −717.127 142.645i −1.42570 0.283589i −0.578855 0.815430i \(-0.696500\pi\)
−0.846844 + 0.531841i \(0.821500\pi\)
\(504\) −137.246 + 895.371i −0.272314 + 1.77653i
\(505\) −638.479 + 127.001i −1.26432 + 0.251488i
\(506\) −222.071 96.6972i −0.438876 0.191101i
\(507\) 241.880 797.371i 0.477081 1.57272i
\(508\) −213.722 154.197i −0.420713 0.303537i
\(509\) 280.407 + 341.677i 0.550898 + 0.671272i 0.971792 0.235838i \(-0.0757835\pi\)
−0.420894 + 0.907110i \(0.638284\pi\)
\(510\) −595.532 1164.02i −1.16771 2.28239i
\(511\) 692.636i 1.35545i
\(512\) 225.603 459.616i 0.440631 0.897688i
\(513\) −841.464 −1.64028
\(514\) 135.827 69.4916i 0.264255 0.135198i
\(515\) 29.1938 23.9587i 0.0566870 0.0465218i
\(516\) 237.071 328.589i 0.459440 0.636800i
\(517\) 131.017 + 39.7435i 0.253417 + 0.0768733i
\(518\) −384.480 + 882.984i −0.742240 + 1.70460i
\(519\) −263.484 1324.63i −0.507677 2.55227i
\(520\) −45.7398 7.01119i −0.0879611 0.0134831i
\(521\) −54.6785 + 274.888i −0.104949 + 0.527615i 0.892166 + 0.451708i \(0.149185\pi\)
−0.997115 + 0.0759070i \(0.975815\pi\)
\(522\) 585.464 105.554i 1.12158 0.202210i
\(523\) −83.0150 842.866i −0.158729 1.61160i −0.663385 0.748278i \(-0.730881\pi\)
0.504657 0.863320i \(-0.331619\pi\)
\(524\) −64.5459 1035.97i −0.123179 1.97704i
\(525\) −33.0694 109.015i −0.0629894 0.207648i
\(526\) −516.611 653.085i −0.982150 1.24161i
\(527\) −607.908 + 251.804i −1.15353 + 0.477806i
\(528\) −361.610 + 721.500i −0.684867 + 1.36648i
\(529\) −147.825 + 356.882i −0.279443 + 0.674635i
\(530\) −228.712 805.829i −0.431532 1.52043i
\(531\) −562.707 + 1052.75i −1.05971 + 1.98258i
\(532\) 572.161 436.109i 1.07549 0.819755i
\(533\) −73.1328 60.0185i −0.137210 0.112605i
\(534\) 108.759 + 169.280i 0.203669 + 0.317003i
\(535\) −208.801 + 139.516i −0.390281 + 0.260778i
\(536\) −96.5637 + 57.2448i −0.180156 + 0.106800i
\(537\) −707.547 472.768i −1.31759 0.880387i
\(538\) −206.979 214.557i −0.384718 0.398804i
\(539\) 12.6057 + 23.5835i 0.0233871 + 0.0437542i
\(540\) −571.270 261.063i −1.05791 0.483451i
\(541\) −39.2234 + 398.242i −0.0725016 + 0.736121i 0.888370 + 0.459128i \(0.151838\pi\)
−0.960872 + 0.276993i \(0.910662\pi\)
\(542\) 175.958 206.714i 0.324646 0.381391i
\(543\) 649.968 + 649.968i 1.19700 + 1.19700i
\(544\) −828.813 + 351.392i −1.52355 + 0.645941i
\(545\) 58.9201 + 58.9201i 0.108110 + 0.108110i
\(546\) −7.09496 88.2766i −0.0129944 0.161679i
\(547\) −16.7269 + 169.831i −0.0305794 + 0.310478i 0.967713 + 0.252056i \(0.0811068\pi\)
−0.998292 + 0.0584217i \(0.981393\pi\)
\(548\) 263.449 + 283.107i 0.480747 + 0.516618i
\(549\) 267.434 + 500.333i 0.487129 + 0.911354i
\(550\) 1.16113 64.5892i 0.00211115 0.117435i
\(551\) −392.849 262.494i −0.712975 0.476395i
\(552\) −428.879 205.390i −0.776956 0.372083i
\(553\) −540.455 + 361.121i −0.977315 + 0.653021i
\(554\) −712.798 155.153i −1.28664 0.280060i
\(555\) −1203.76 987.899i −2.16893 1.78000i
\(556\) −503.771 293.023i −0.906063 0.527020i
\(557\) −298.188 + 557.871i −0.535347 + 1.00156i 0.458276 + 0.888810i \(0.348467\pi\)
−0.993623 + 0.112754i \(0.964033\pi\)
\(558\) −359.092 + 643.709i −0.643534 + 1.15360i
\(559\) −9.64859 + 23.2937i −0.0172604 + 0.0416704i
\(560\) 523.742 118.562i 0.935254 0.211719i
\(561\) 1310.98 543.025i 2.33686 0.967960i
\(562\) −401.740 46.8731i −0.714840 0.0834041i
\(563\) 97.0323 + 319.873i 0.172349 + 0.568157i 0.999976 + 0.00687991i \(0.00218996\pi\)
−0.827628 + 0.561278i \(0.810310\pi\)
\(564\) 254.250 + 87.2217i 0.450797 + 0.154648i
\(565\) −41.0294 416.579i −0.0726185 0.737308i
\(566\) 663.300 + 460.661i 1.17191 + 0.813888i
\(567\) 35.7053 179.503i 0.0629723 0.316583i
\(568\) 23.9015 + 539.805i 0.0420800 + 0.950361i
\(569\) 60.9922 + 306.628i 0.107192 + 0.538890i 0.996644 + 0.0818612i \(0.0260864\pi\)
−0.889452 + 0.457029i \(0.848914\pi\)
\(570\) 425.775 + 1082.55i 0.746974 + 1.89921i
\(571\) −77.0616 23.3764i −0.134959 0.0409394i 0.222083 0.975028i \(-0.428715\pi\)
−0.357042 + 0.934088i \(0.616215\pi\)
\(572\) 11.5613 48.8704i 0.0202121 0.0854378i
\(573\) −541.973 + 444.785i −0.945851 + 0.776240i
\(574\) 1044.72 + 337.534i 1.82007 + 0.588038i
\(575\) 38.0630 0.0661965
\(576\) −483.962 + 884.728i −0.840211 + 1.53599i
\(577\) 264.928i 0.459147i 0.973291 + 0.229574i \(0.0737331\pi\)
−0.973291 + 0.229574i \(0.926267\pi\)
\(578\) 956.162 + 308.922i 1.65426 + 0.534468i
\(579\) −463.112 564.303i −0.799848 0.974617i
\(580\) −185.267 300.088i −0.319426 0.517393i
\(581\) −192.372 + 634.166i −0.331105 + 1.09151i
\(582\) 209.586 + 532.881i 0.360114 + 0.915604i
\(583\) 891.609 177.352i 1.52935 0.304206i
\(584\) 263.286 724.760i 0.450832 1.24103i
\(585\) 89.3909 + 17.7810i 0.152805 + 0.0303948i
\(586\) 140.236 + 97.3937i 0.239311 + 0.166201i
\(587\) −504.209 + 49.6602i −0.858958 + 0.0846000i −0.517899 0.855442i \(-0.673286\pi\)
−0.341059 + 0.940042i \(0.610786\pi\)
\(588\) 23.0681 + 47.1603i 0.0392314 + 0.0802046i
\(589\) 560.198 169.934i 0.951100 0.288513i
\(590\) 702.883 + 82.0090i 1.19133 + 0.138998i
\(591\) −279.679 675.206i −0.473231 1.14248i
\(592\) −737.953 + 777.786i −1.24654 + 1.31383i
\(593\) −1031.21 427.140i −1.73897 0.720304i −0.998856 0.0478196i \(-0.984773\pi\)
−0.740111 0.672484i \(-0.765227\pi\)
\(594\) 332.080 595.287i 0.559057 1.00217i
\(595\) −832.687 445.080i −1.39947 0.748034i
\(596\) 410.945 108.693i 0.689505 0.182371i
\(597\) −91.6089 + 111.626i −0.153449 + 0.186978i
\(598\) 28.9130 + 6.29342i 0.0483494 + 0.0105241i
\(599\) 619.710 + 927.461i 1.03457 + 1.54835i 0.820594 + 0.571511i \(0.193643\pi\)
0.213979 + 0.976838i \(0.431357\pi\)
\(600\) 6.83588 126.642i 0.0113931 0.211069i
\(601\) −124.398 + 186.174i −0.206985 + 0.309774i −0.920408 0.390959i \(-0.872144\pi\)
0.713424 + 0.700733i \(0.247144\pi\)
\(602\) 5.25906 292.541i 0.00873599 0.485948i
\(603\) 194.995 104.227i 0.323375 0.172847i
\(604\) 33.4951 931.298i 0.0554554 1.54188i
\(605\) 84.7406 + 8.34622i 0.140067 + 0.0137954i
\(606\) −111.120 1382.57i −0.183366 2.28147i
\(607\) −536.456 + 536.456i −0.883783 + 0.883783i −0.993917 0.110134i \(-0.964872\pi\)
0.110134 + 0.993917i \(0.464872\pi\)
\(608\) 764.471 238.845i 1.25735 0.392838i
\(609\) 477.267 477.267i 0.783690 0.783690i
\(610\) 217.998 256.102i 0.357374 0.419840i
\(611\) −16.6455 1.63944i −0.0272430 0.00268320i
\(612\) 1661.46 619.220i 2.71481 1.01180i
\(613\) 472.131 252.359i 0.770197 0.411679i −0.0389827 0.999240i \(-0.512412\pi\)
0.809180 + 0.587561i \(0.199912\pi\)
\(614\) −159.864 165.717i −0.260365 0.269898i
\(615\) −986.278 + 1476.07i −1.60370 + 2.40011i
\(616\) 82.7213 + 576.879i 0.134288 + 0.936491i
\(617\) −101.478 151.872i −0.164470 0.246146i 0.740076 0.672523i \(-0.234790\pi\)
−0.904545 + 0.426377i \(0.859790\pi\)
\(618\) 43.4953 + 67.6986i 0.0703807 + 0.109545i
\(619\) −212.904 + 259.424i −0.343948 + 0.419102i −0.916040 0.401088i \(-0.868632\pi\)
0.572092 + 0.820190i \(0.306132\pi\)
\(620\) 433.040 + 58.4325i 0.698452 + 0.0942459i
\(621\) 354.212 + 189.330i 0.570389 + 0.304879i
\(622\) −24.3922 85.9420i −0.0392158 0.138170i
\(623\) 134.234 + 55.6017i 0.215464 + 0.0892482i
\(624\) 26.1318 95.0677i 0.0418779 0.152352i
\(625\) −204.810 494.455i −0.327696 0.791127i
\(626\) −265.136 335.177i −0.423539 0.535427i
\(627\) −1208.09 + 366.470i −1.92678 + 0.584482i
\(628\) 585.123 + 516.488i 0.931725 + 0.822433i
\(629\) 1876.05 184.775i 2.98260 0.293760i
\(630\) −1040.89 + 187.663i −1.65221 + 0.297878i
\(631\) 581.760 + 115.719i 0.921966 + 0.183390i 0.633181 0.774004i \(-0.281749\pi\)
0.288785 + 0.957394i \(0.406749\pi\)
\(632\) −702.791 + 172.431i −1.11201 + 0.272833i
\(633\) −1.97069 + 0.391994i −0.00311325 + 0.000619263i
\(634\) −282.018 + 647.673i −0.444824 + 1.02157i
\(635\) 89.3261 294.469i 0.140671 0.463730i
\(636\) 1761.85 285.047i 2.77020 0.448187i
\(637\) −2.07247 2.52532i −0.00325349 0.00396439i
\(638\) 340.735 174.326i 0.534067 0.273238i
\(639\) 1064.25i 1.66550i
\(640\) 593.101 + 75.0244i 0.926721 + 0.117226i
\(641\) 400.056 0.624112 0.312056 0.950064i \(-0.398982\pi\)
0.312056 + 0.950064i \(0.398982\pi\)
\(642\) −243.701 476.333i −0.379596 0.741952i
\(643\) −573.607 + 470.747i −0.892079 + 0.732110i −0.964169 0.265288i \(-0.914533\pi\)
0.0720902 + 0.997398i \(0.477033\pi\)
\(644\) −338.974 + 54.8423i −0.526357 + 0.0851588i
\(645\) 452.733 + 137.335i 0.701912 + 0.212923i
\(646\) −1291.12 562.197i −1.99864 0.870274i
\(647\) −54.5646 274.315i −0.0843347 0.423979i −0.999769 0.0215109i \(-0.993152\pi\)
0.915434 0.402468i \(-0.131848\pi\)
\(648\) 105.594 174.255i 0.162954 0.268913i
\(649\) −149.827 + 753.230i −0.230858 + 1.16060i
\(650\) 1.40026 + 7.76667i 0.00215424 + 0.0119487i
\(651\) 81.9701 + 832.256i 0.125914 + 1.27843i
\(652\) −180.884 159.666i −0.277429 0.244887i
\(653\) 16.8782 + 55.6400i 0.0258472 + 0.0852068i 0.968915 0.247393i \(-0.0795740\pi\)
−0.943068 + 0.332600i \(0.892074\pi\)
\(654\) −139.241 + 110.144i −0.212906 + 0.168416i
\(655\) 1119.72 463.804i 1.70950 0.708098i
\(656\) 964.868 + 750.308i 1.47084 + 1.14376i
\(657\) −581.210 + 1403.16i −0.884642 + 2.13572i
\(658\) 186.725 52.9966i 0.283777 0.0805420i
\(659\) 144.580 270.490i 0.219393 0.410456i −0.748013 0.663684i \(-0.768992\pi\)
0.967407 + 0.253228i \(0.0814922\pi\)
\(660\) −933.870 126.012i −1.41495 0.190927i
\(661\) 202.640 + 166.303i 0.306566 + 0.251592i 0.775079 0.631864i \(-0.217710\pi\)
−0.468513 + 0.883457i \(0.655210\pi\)
\(662\) 250.471 160.923i 0.378355 0.243087i
\(663\) −144.138 + 96.3098i −0.217402 + 0.145264i
\(664\) −442.354 + 590.453i −0.666196 + 0.889237i
\(665\) 698.445 + 466.686i 1.05029 + 0.701784i
\(666\) 1519.83 1466.15i 2.28203 2.20143i
\(667\) 106.307 + 198.887i 0.159381 + 0.298182i
\(668\) −371.925 + 138.615i −0.556773 + 0.207507i
\(669\) 15.1135 153.450i 0.0225911 0.229371i
\(670\) −99.8108 84.9603i −0.148971 0.126806i
\(671\) 258.091 + 258.091i 0.384636 + 0.384636i
\(672\) 121.591 + 1137.67i 0.180939 + 1.69296i
\(673\) 503.682 + 503.682i 0.748414 + 0.748414i 0.974181 0.225767i \(-0.0724890\pi\)
−0.225767 + 0.974181i \(0.572489\pi\)
\(674\) −668.746 + 53.7484i −0.992204 + 0.0797454i
\(675\) −10.4996 + 106.604i −0.0155549 + 0.157932i
\(676\) 24.0768 669.432i 0.0356166 0.990284i
\(677\) 48.3363 + 90.4308i 0.0713977 + 0.133576i 0.915088 0.403255i \(-0.132121\pi\)
−0.843690 + 0.536831i \(0.819621\pi\)
\(678\) 891.736 + 16.0309i 1.31524 + 0.0236444i
\(679\) 343.807 + 229.725i 0.506344 + 0.338328i
\(680\) −702.121 782.245i −1.03253 1.15036i
\(681\) −446.700 + 298.475i −0.655947 + 0.438290i
\(682\) −100.861 + 463.371i −0.147890 + 0.679429i
\(683\) 926.109 + 760.038i 1.35594 + 1.11279i 0.982729 + 0.185049i \(0.0592444\pi\)
0.373214 + 0.927745i \(0.378256\pi\)
\(684\) −1525.05 + 403.369i −2.22961 + 0.589721i
\(685\) −212.859 + 398.232i −0.310744 + 0.581360i
\(686\) −581.894 324.609i −0.848242 0.473191i
\(687\) −237.895 + 574.330i −0.346281 + 0.835997i
\(688\) 116.704 304.110i 0.169628 0.442020i
\(689\) −102.605 + 42.5002i −0.148918 + 0.0616839i
\(690\) 64.3458 551.495i 0.0932548 0.799269i
\(691\) −361.134 1190.50i −0.522625 1.72286i −0.678050 0.735016i \(-0.737175\pi\)
0.155425 0.987848i \(-0.450325\pi\)
\(692\) −477.072 975.325i −0.689411 1.40943i
\(693\) −112.509 1142.33i −0.162351 1.64838i
\(694\) −139.494 + 200.855i −0.200999 + 0.289417i
\(695\) 132.757 667.412i 0.191017 0.960305i
\(696\) 680.821 317.983i 0.978192 0.456872i
\(697\) −419.260 2107.76i −0.601521 3.02405i
\(698\) 902.827 355.089i 1.29345 0.508723i
\(699\) 44.2888 + 13.4349i 0.0633602 + 0.0192201i
\(700\) −48.1108 77.9279i −0.0687297 0.111326i
\(701\) −226.239 + 185.670i −0.322738 + 0.264864i −0.781785 0.623548i \(-0.785691\pi\)
0.459048 + 0.888412i \(0.348191\pi\)
\(702\) −25.6017 + 79.2411i −0.0364696 + 0.112879i
\(703\) −1677.16 −2.38572
\(704\) −132.726 + 635.078i −0.188531 + 0.902099i
\(705\) 313.853i 0.445182i
\(706\) −305.690 + 946.159i −0.432989 + 1.34017i
\(707\) −635.404 774.242i −0.898732 1.09511i
\(708\) −347.111 + 1467.26i −0.490270 + 2.07240i
\(709\) 145.259 478.854i 0.204879 0.675394i −0.792935 0.609306i \(-0.791448\pi\)
0.997814 0.0660882i \(-0.0210519\pi\)
\(710\) −587.132 + 230.923i −0.826946 + 0.325244i
\(711\) 1397.90 278.059i 1.96610 0.391082i
\(712\) 119.325 + 109.206i 0.167591 + 0.153379i
\(713\) −274.049 54.5117i −0.384360 0.0764540i
\(714\) 1147.53 1652.31i 1.60718 2.31416i
\(715\) 58.3554 5.74750i 0.0816159 0.00803847i
\(716\) −647.083 221.985i −0.903747 0.310035i
\(717\) −1549.19 + 469.940i −2.16065 + 0.655426i
\(718\) −57.6603 + 494.195i −0.0803068 + 0.688294i
\(719\) −29.8839 72.1460i −0.0415631 0.100342i 0.901735 0.432290i \(-0.142294\pi\)
−0.943298 + 0.331948i \(0.892294\pi\)
\(720\) −1160.50 199.299i −1.61181 0.276804i
\(721\) 53.6832 + 22.2363i 0.0744566 + 0.0308409i
\(722\) 463.602 + 258.620i 0.642108 + 0.358199i
\(723\) 389.279 + 208.074i 0.538421 + 0.287792i
\(724\) 638.760 + 371.540i 0.882265 + 0.513177i
\(725\) −38.1568 + 46.4942i −0.0526301 + 0.0641299i
\(726\) −38.5872 + 177.275i −0.0531504 + 0.244181i
\(727\) −57.0599 85.3962i −0.0784868 0.117464i 0.790149 0.612914i \(-0.210003\pi\)
−0.868636 + 0.495451i \(0.835003\pi\)
\(728\) −23.6606 67.1494i −0.0325008 0.0922382i
\(729\) 613.472 918.125i 0.841525 1.25943i
\(730\) 900.216 + 16.1834i 1.23317 + 0.0221690i
\(731\) −505.097 + 269.980i −0.690967 + 0.369329i
\(732\) 488.160 + 524.585i 0.666886 + 0.716646i
\(733\) −71.9188 7.08338i −0.0981157 0.00966355i 0.0488401 0.998807i \(-0.484448\pi\)
−0.146956 + 0.989143i \(0.546948\pi\)
\(734\) −849.724 + 68.2939i −1.15766 + 0.0930435i
\(735\) −43.3460 + 43.3460i −0.0589741 + 0.0589741i
\(736\) −375.542 71.4655i −0.510247 0.0970999i
\(737\) 100.586 100.586i 0.136480 0.136480i
\(738\) −1833.19 1560.44i −2.48400 2.11442i
\(739\) 718.106 + 70.7273i 0.971727 + 0.0957067i 0.571405 0.820668i \(-0.306398\pi\)
0.400322 + 0.916375i \(0.368898\pi\)
\(740\) −1138.63 520.338i −1.53869 0.703160i
\(741\) 136.018 72.7030i 0.183560 0.0981147i
\(742\) 927.550 894.789i 1.25007 1.20592i
\(743\) −118.187 + 176.880i −0.159068 + 0.238061i −0.902439 0.430817i \(-0.858225\pi\)
0.743372 + 0.668879i \(0.233225\pi\)
\(744\) −230.586 + 902.014i −0.309928 + 1.21238i
\(745\) 275.748 + 412.686i 0.370131 + 0.553940i
\(746\) 978.910 628.934i 1.31221 0.843075i
\(747\) 921.860 1123.29i 1.23408 1.50373i
\(748\) 907.256 691.524i 1.21291 0.924497i
\(749\) −340.748 182.134i −0.454937 0.243169i
\(750\) 1260.25 357.687i 1.68034 0.476916i
\(751\) −825.289 341.846i −1.09892 0.455188i −0.241811 0.970323i \(-0.577742\pi\)
−0.857109 + 0.515136i \(0.827742\pi\)
\(752\) 215.530 + 15.5236i 0.286609 + 0.0206431i
\(753\) −286.677 692.100i −0.380713 0.919123i
\(754\) −36.671