Properties

Label 280.2.bj.e.131.9
Level $280$
Weight $2$
Character 280.131
Analytic conductor $2.236$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.bj (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 131.9
Character \(\chi\) \(=\) 280.131
Dual form 280.2.bj.e.171.9

$q$-expansion

\(f(q)\) \(=\) \(q+(0.743926 - 1.20274i) q^{2} +(1.94732 - 1.12428i) q^{3} +(-0.893147 - 1.78949i) q^{4} +(0.500000 - 0.866025i) q^{5} +(0.0964439 - 3.17849i) q^{6} +(-2.47009 + 0.947962i) q^{7} +(-2.81672 - 0.257032i) q^{8} +(1.02803 - 1.78060i) q^{9} +O(q^{10})\) \(q+(0.743926 - 1.20274i) q^{2} +(1.94732 - 1.12428i) q^{3} +(-0.893147 - 1.78949i) q^{4} +(0.500000 - 0.866025i) q^{5} +(0.0964439 - 3.17849i) q^{6} +(-2.47009 + 0.947962i) q^{7} +(-2.81672 - 0.257032i) q^{8} +(1.02803 - 1.78060i) q^{9} +(-0.669637 - 1.24563i) q^{10} +(0.656783 + 1.13758i) q^{11} +(-3.75114 - 2.48056i) q^{12} +3.02437 q^{13} +(-0.697421 + 3.67609i) q^{14} -2.24857i q^{15} +(-2.40458 + 3.19656i) q^{16} +(-0.313561 + 0.181034i) q^{17} +(-1.37682 - 2.56109i) q^{18} +(3.16395 + 1.82671i) q^{19} +(-1.99632 - 0.121259i) q^{20} +(-3.74428 + 4.62307i) q^{21} +(1.85681 + 0.0563405i) q^{22} +(5.74815 + 3.31870i) q^{23} +(-5.77403 + 2.66628i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(2.24991 - 3.63752i) q^{26} +2.12251i q^{27} +(3.90253 + 3.57355i) q^{28} -3.35458i q^{29} +(-2.70443 - 1.67277i) q^{30} +(-3.37591 - 5.84724i) q^{31} +(2.05579 + 5.27008i) q^{32} +(2.55793 + 1.47682i) q^{33} +(-0.0155296 + 0.511807i) q^{34} +(-0.414089 + 2.61315i) q^{35} +(-4.10456 - 0.249316i) q^{36} +(-3.89163 - 2.24684i) q^{37} +(4.55080 - 2.44646i) q^{38} +(5.88941 - 3.40026i) q^{39} +(-1.63096 + 2.31084i) q^{40} -4.07897i q^{41} +(2.77486 + 7.94261i) q^{42} -5.01967 q^{43} +(1.44909 - 2.19134i) q^{44} +(-1.02803 - 1.78060i) q^{45} +(8.26772 - 4.44464i) q^{46} +(-6.23329 + 10.7964i) q^{47} +(-1.08863 + 8.92815i) q^{48} +(5.20274 - 4.68311i) q^{49} +(-1.41356 - 0.0428912i) q^{50} +(-0.407068 + 0.705063i) q^{51} +(-2.70121 - 5.41210i) q^{52} +(2.39639 - 1.38356i) q^{53} +(2.55281 + 1.57899i) q^{54} +1.31357 q^{55} +(7.20123 - 2.03525i) q^{56} +8.21496 q^{57} +(-4.03467 - 2.49556i) q^{58} +(-11.5288 + 6.65617i) q^{59} +(-4.02380 + 2.00830i) q^{60} +(-5.04721 + 8.74202i) q^{61} +(-9.54411 - 0.289593i) q^{62} +(-0.851393 + 5.37279i) q^{63} +(7.86787 + 1.44797i) q^{64} +(1.51219 - 2.61918i) q^{65} +(3.67914 - 1.97787i) q^{66} +(-0.897462 - 1.55445i) q^{67} +(0.604016 + 0.399425i) q^{68} +14.9246 q^{69} +(2.83487 + 2.44203i) q^{70} -12.4911i q^{71} +(-3.35335 + 4.75123i) q^{72} +(7.83291 - 4.52233i) q^{73} +(-5.59744 + 3.00913i) q^{74} +(-1.94732 - 1.12428i) q^{75} +(0.443009 - 7.29339i) q^{76} +(-2.70070 - 2.18733i) q^{77} +(0.291682 - 9.61295i) q^{78} +(7.89731 + 4.55951i) q^{79} +(1.56602 + 3.68071i) q^{80} +(5.47040 + 9.47500i) q^{81} +(-4.90593 - 3.03446i) q^{82} +10.7568i q^{83} +(11.6172 + 2.57129i) q^{84} +0.362069i q^{85} +(-3.73427 + 6.03734i) q^{86} +(-3.77150 - 6.53243i) q^{87} +(-1.55758 - 3.37307i) q^{88} +(-1.99844 - 1.15380i) q^{89} +(-2.90638 - 0.0881871i) q^{90} +(-7.47049 + 2.86699i) q^{91} +(0.804843 - 13.2504i) q^{92} +(-13.1479 - 7.59096i) q^{93} +(8.34808 + 15.5287i) q^{94} +(3.16395 - 1.82671i) q^{95} +(9.92835 + 7.95122i) q^{96} -2.74318i q^{97} +(-1.76209 - 9.74141i) q^{98} +2.70078 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 3q^{2} + 12q^{3} + q^{4} + 12q^{5} + 2q^{6} - 10q^{7} - 6q^{8} + 12q^{9} + O(q^{10}) \) \( 24q - 3q^{2} + 12q^{3} + q^{4} + 12q^{5} + 2q^{6} - 10q^{7} - 6q^{8} + 12q^{9} - 3q^{10} + 8q^{11} + 8q^{12} - 20q^{13} - 15q^{14} - 3q^{16} + 6q^{17} - 27q^{18} + 18q^{19} + 2q^{20} + 26q^{21} - 16q^{22} - 18q^{23} + 6q^{24} - 12q^{25} - 29q^{26} + 3q^{28} + 10q^{30} + 6q^{31} - 33q^{32} + 12q^{33} + 20q^{34} - 8q^{35} - 22q^{36} + 9q^{38} + 18q^{39} - 3q^{40} - 12q^{42} + 32q^{43} - 25q^{44} - 12q^{45} + 53q^{46} + 14q^{48} + 8q^{49} - 22q^{51} - 31q^{52} - 30q^{53} + 10q^{54} + 16q^{55} + 16q^{56} - 44q^{57} + 30q^{58} - 18q^{59} + 10q^{60} - 22q^{61} - 8q^{62} + 12q^{63} + 58q^{64} - 10q^{65} - 8q^{66} - 8q^{67} - 6q^{68} + 12q^{69} + 3q^{70} - 23q^{72} + 30q^{73} - 43q^{74} - 12q^{75} - 8q^{76} + 32q^{77} - 8q^{78} - 6q^{79} + 3q^{80} - 4q^{81} - 27q^{82} - 16q^{84} - 36q^{86} - 14q^{87} + 49q^{88} - 60q^{89} - 24q^{90} + 18q^{91} - 38q^{92} + 18q^{93} + 11q^{94} + 18q^{95} + 2q^{96} - 19q^{98} - 56q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(1\) \(-1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.743926 1.20274i 0.526035 0.850463i
\(3\) 1.94732 1.12428i 1.12428 0.649106i 0.181793 0.983337i \(-0.441810\pi\)
0.942491 + 0.334231i \(0.108476\pi\)
\(4\) −0.893147 1.78949i −0.446574 0.894747i
\(5\) 0.500000 0.866025i 0.223607 0.387298i
\(6\) 0.0964439 3.17849i 0.0393730 1.29761i
\(7\) −2.47009 + 0.947962i −0.933608 + 0.358296i
\(8\) −2.81672 0.257032i −0.995862 0.0908744i
\(9\) 1.02803 1.78060i 0.342677 0.593534i
\(10\) −0.669637 1.24563i −0.211758 0.393902i
\(11\) 0.656783 + 1.13758i 0.198028 + 0.342994i 0.947889 0.318601i \(-0.103213\pi\)
−0.749861 + 0.661595i \(0.769880\pi\)
\(12\) −3.75114 2.48056i −1.08286 0.716077i
\(13\) 3.02437 0.838810 0.419405 0.907799i \(-0.362239\pi\)
0.419405 + 0.907799i \(0.362239\pi\)
\(14\) −0.697421 + 3.67609i −0.186394 + 0.982475i
\(15\) 2.24857i 0.580578i
\(16\) −2.40458 + 3.19656i −0.601144 + 0.799141i
\(17\) −0.313561 + 0.181034i −0.0760497 + 0.0439073i −0.537543 0.843237i \(-0.680647\pi\)
0.461493 + 0.887144i \(0.347314\pi\)
\(18\) −1.37682 2.56109i −0.324519 0.603654i
\(19\) 3.16395 + 1.82671i 0.725861 + 0.419076i 0.816906 0.576771i \(-0.195687\pi\)
−0.0910453 + 0.995847i \(0.529021\pi\)
\(20\) −1.99632 0.121259i −0.446391 0.0271143i
\(21\) −3.74428 + 4.62307i −0.817069 + 1.00884i
\(22\) 1.85681 + 0.0563405i 0.395873 + 0.0120118i
\(23\) 5.74815 + 3.31870i 1.19857 + 0.691996i 0.960237 0.279186i \(-0.0900647\pi\)
0.238336 + 0.971183i \(0.423398\pi\)
\(24\) −5.77403 + 2.66628i −1.17862 + 0.544252i
\(25\) −0.500000 0.866025i −0.100000 0.173205i
\(26\) 2.24991 3.63752i 0.441244 0.713377i
\(27\) 2.12251i 0.408476i
\(28\) 3.90253 + 3.57355i 0.737509 + 0.675338i
\(29\) 3.35458i 0.622929i −0.950258 0.311465i \(-0.899180\pi\)
0.950258 0.311465i \(-0.100820\pi\)
\(30\) −2.70443 1.67277i −0.493760 0.305405i
\(31\) −3.37591 5.84724i −0.606330 1.05020i −0.991840 0.127491i \(-0.959308\pi\)
0.385509 0.922704i \(-0.374026\pi\)
\(32\) 2.05579 + 5.27008i 0.363416 + 0.931627i
\(33\) 2.55793 + 1.47682i 0.445279 + 0.257082i
\(34\) −0.0155296 + 0.511807i −0.00266330 + 0.0877742i
\(35\) −0.414089 + 2.61315i −0.0699938 + 0.441702i
\(36\) −4.10456 0.249316i −0.684094 0.0415527i
\(37\) −3.89163 2.24684i −0.639781 0.369378i 0.144749 0.989468i \(-0.453762\pi\)
−0.784530 + 0.620091i \(0.787096\pi\)
\(38\) 4.55080 2.44646i 0.738237 0.396869i
\(39\) 5.88941 3.40026i 0.943061 0.544477i
\(40\) −1.63096 + 2.31084i −0.257877 + 0.365376i
\(41\) 4.07897i 0.637029i −0.947918 0.318514i \(-0.896816\pi\)
0.947918 0.318514i \(-0.103184\pi\)
\(42\) 2.77486 + 7.94261i 0.428171 + 1.22557i
\(43\) −5.01967 −0.765493 −0.382746 0.923853i \(-0.625022\pi\)
−0.382746 + 0.923853i \(0.625022\pi\)
\(44\) 1.44909 2.19134i 0.218459 0.330357i
\(45\) −1.02803 1.78060i −0.153250 0.265437i
\(46\) 8.26772 4.44464i 1.21901 0.655327i
\(47\) −6.23329 + 10.7964i −0.909219 + 1.57481i −0.0940684 + 0.995566i \(0.529987\pi\)
−0.815151 + 0.579249i \(0.803346\pi\)
\(48\) −1.08863 + 8.92815i −0.157130 + 1.28867i
\(49\) 5.20274 4.68311i 0.743248 0.669016i
\(50\) −1.41356 0.0428912i −0.199908 0.00606573i
\(51\) −0.407068 + 0.705063i −0.0570010 + 0.0987286i
\(52\) −2.70121 5.41210i −0.374590 0.750523i
\(53\) 2.39639 1.38356i 0.329170 0.190046i −0.326303 0.945265i \(-0.605803\pi\)
0.655473 + 0.755219i \(0.272469\pi\)
\(54\) 2.55281 + 1.57899i 0.347394 + 0.214873i
\(55\) 1.31357 0.177121
\(56\) 7.20123 2.03525i 0.962305 0.271972i
\(57\) 8.21496 1.08810
\(58\) −4.03467 2.49556i −0.529778 0.327683i
\(59\) −11.5288 + 6.65617i −1.50093 + 0.866559i −0.500926 + 0.865490i \(0.667007\pi\)
−0.999999 + 0.00106912i \(0.999660\pi\)
\(60\) −4.02380 + 2.00830i −0.519470 + 0.259271i
\(61\) −5.04721 + 8.74202i −0.646229 + 1.11930i 0.337787 + 0.941222i \(0.390322\pi\)
−0.984016 + 0.178079i \(0.943012\pi\)
\(62\) −9.54411 0.289593i −1.21210 0.0367784i
\(63\) −0.851393 + 5.37279i −0.107265 + 0.676908i
\(64\) 7.86787 + 1.44797i 0.983484 + 0.180997i
\(65\) 1.51219 2.61918i 0.187564 0.324870i
\(66\) 3.67914 1.97787i 0.452871 0.243459i
\(67\) −0.897462 1.55445i −0.109642 0.189906i 0.805983 0.591939i \(-0.201637\pi\)
−0.915625 + 0.402032i \(0.868304\pi\)
\(68\) 0.604016 + 0.399425i 0.0732477 + 0.0484374i
\(69\) 14.9246 1.79672
\(70\) 2.83487 + 2.44203i 0.338832 + 0.291878i
\(71\) 12.4911i 1.48242i −0.671276 0.741208i \(-0.734253\pi\)
0.671276 0.741208i \(-0.265747\pi\)
\(72\) −3.35335 + 4.75123i −0.395197 + 0.559938i
\(73\) 7.83291 4.52233i 0.916772 0.529299i 0.0341685 0.999416i \(-0.489122\pi\)
0.882604 + 0.470117i \(0.155788\pi\)
\(74\) −5.59744 + 3.00913i −0.650689 + 0.349804i
\(75\) −1.94732 1.12428i −0.224857 0.129821i
\(76\) 0.443009 7.29339i 0.0508167 0.836610i
\(77\) −2.70070 2.18733i −0.307774 0.249269i
\(78\) 0.291682 9.61295i 0.0330265 1.08845i
\(79\) 7.89731 + 4.55951i 0.888517 + 0.512985i 0.873457 0.486901i \(-0.161873\pi\)
0.0150598 + 0.999887i \(0.495206\pi\)
\(80\) 1.56602 + 3.68071i 0.175086 + 0.411515i
\(81\) 5.47040 + 9.47500i 0.607822 + 1.05278i
\(82\) −4.90593 3.03446i −0.541769 0.335100i
\(83\) 10.7568i 1.18072i 0.807141 + 0.590359i \(0.201014\pi\)
−0.807141 + 0.590359i \(0.798986\pi\)
\(84\) 11.6172 + 2.57129i 1.26754 + 0.280550i
\(85\) 0.362069i 0.0392719i
\(86\) −3.73427 + 6.03734i −0.402676 + 0.651023i
\(87\) −3.77150 6.53243i −0.404347 0.700350i
\(88\) −1.55758 3.37307i −0.166039 0.359570i
\(89\) −1.99844 1.15380i −0.211834 0.122302i 0.390329 0.920675i \(-0.372361\pi\)
−0.602163 + 0.798373i \(0.705694\pi\)
\(90\) −2.90638 0.0881871i −0.306359 0.00929573i
\(91\) −7.47049 + 2.86699i −0.783120 + 0.300542i
\(92\) 0.804843 13.2504i 0.0839107 1.38145i
\(93\) −13.1479 7.59096i −1.36338 0.787145i
\(94\) 8.34808 + 15.5287i 0.861039 + 1.60167i
\(95\) 3.16395 1.82671i 0.324615 0.187416i
\(96\) 9.92835 + 7.95122i 1.01331 + 0.811518i
\(97\) 2.74318i 0.278528i −0.990255 0.139264i \(-0.955526\pi\)
0.990255 0.139264i \(-0.0444737\pi\)
\(98\) −1.76209 9.74141i −0.177998 0.984031i
\(99\) 2.70078 0.271438
\(100\) −1.10317 + 1.66823i −0.110317 + 0.166823i
\(101\) 4.56687 + 7.91006i 0.454421 + 0.787080i 0.998655 0.0518536i \(-0.0165129\pi\)
−0.544234 + 0.838934i \(0.683180\pi\)
\(102\) 0.545176 + 1.01411i 0.0539805 + 0.100412i
\(103\) −8.96856 + 15.5340i −0.883699 + 1.53061i −0.0365014 + 0.999334i \(0.511621\pi\)
−0.847198 + 0.531278i \(0.821712\pi\)
\(104\) −8.51882 0.777360i −0.835339 0.0762264i
\(105\) 2.13156 + 5.55418i 0.208019 + 0.542032i
\(106\) 0.118685 3.91149i 0.0115277 0.379918i
\(107\) −7.57904 + 13.1273i −0.732694 + 1.26906i 0.223034 + 0.974811i \(0.428404\pi\)
−0.955728 + 0.294252i \(0.904929\pi\)
\(108\) 3.79821 1.89571i 0.365483 0.182415i
\(109\) 13.2526 7.65137i 1.26937 0.732868i 0.294497 0.955652i \(-0.404848\pi\)
0.974868 + 0.222784i \(0.0715144\pi\)
\(110\) 0.977197 1.57987i 0.0931721 0.150635i
\(111\) −10.1043 −0.959061
\(112\) 2.90931 10.1753i 0.274904 0.961472i
\(113\) −15.2372 −1.43340 −0.716698 0.697384i \(-0.754347\pi\)
−0.716698 + 0.697384i \(0.754347\pi\)
\(114\) 6.11133 9.88043i 0.572378 0.925387i
\(115\) 5.74815 3.31870i 0.536018 0.309470i
\(116\) −6.00299 + 2.99613i −0.557364 + 0.278184i
\(117\) 3.10915 5.38521i 0.287441 0.497863i
\(118\) −0.570982 + 18.8178i −0.0525632 + 1.73232i
\(119\) 0.602911 0.744416i 0.0552688 0.0682405i
\(120\) −0.577954 + 6.33360i −0.0527597 + 0.578176i
\(121\) 4.63727 8.03199i 0.421570 0.730181i
\(122\) 6.75959 + 12.5739i 0.611985 + 1.13839i
\(123\) −4.58593 7.94306i −0.413499 0.716201i
\(124\) −7.44842 + 11.2636i −0.668888 + 1.01150i
\(125\) −1.00000 −0.0894427
\(126\) 5.82868 + 5.02096i 0.519260 + 0.447303i
\(127\) 9.07992i 0.805713i −0.915263 0.402856i \(-0.868017\pi\)
0.915263 0.402856i \(-0.131983\pi\)
\(128\) 7.59465 8.38578i 0.671278 0.741205i
\(129\) −9.77490 + 5.64354i −0.860632 + 0.496886i
\(130\) −2.02523 3.76724i −0.177624 0.330409i
\(131\) −8.38219 4.83946i −0.732356 0.422826i 0.0869277 0.996215i \(-0.472295\pi\)
−0.819283 + 0.573389i \(0.805628\pi\)
\(132\) 0.358156 5.89642i 0.0311735 0.513218i
\(133\) −9.54691 1.51284i −0.827822 0.131180i
\(134\) −2.53724 0.0769864i −0.219184 0.00665062i
\(135\) 1.83814 + 1.06125i 0.158202 + 0.0913381i
\(136\) 0.929746 0.429329i 0.0797250 0.0368147i
\(137\) −10.9498 18.9657i −0.935507 1.62035i −0.773728 0.633518i \(-0.781610\pi\)
−0.161779 0.986827i \(-0.551723\pi\)
\(138\) 11.1028 17.9504i 0.945136 1.52804i
\(139\) 15.3183i 1.29928i −0.760241 0.649641i \(-0.774919\pi\)
0.760241 0.649641i \(-0.225081\pi\)
\(140\) 5.04605 1.59291i 0.426469 0.134626i
\(141\) 28.0320i 2.36072i
\(142\) −15.0234 9.29242i −1.26074 0.779803i
\(143\) 1.98636 + 3.44047i 0.166108 + 0.287707i
\(144\) 3.21983 + 7.56777i 0.268319 + 0.630647i
\(145\) −2.90515 1.67729i −0.241259 0.139291i
\(146\) 0.387937 12.7852i 0.0321059 1.05811i
\(147\) 4.86624 14.9689i 0.401360 1.23461i
\(148\) −0.544898 + 8.97081i −0.0447903 + 0.737396i
\(149\) −10.3555 5.97873i −0.848352 0.489797i 0.0117422 0.999931i \(-0.496262\pi\)
−0.860095 + 0.510135i \(0.829596\pi\)
\(150\) −2.80088 + 1.50572i −0.228691 + 0.122942i
\(151\) 13.0976 7.56188i 1.06586 0.615377i 0.138816 0.990318i \(-0.455670\pi\)
0.927049 + 0.374941i \(0.122337\pi\)
\(152\) −8.44246 5.95857i −0.684774 0.483304i
\(153\) 0.744437i 0.0601841i
\(154\) −4.63990 + 1.62102i −0.373894 + 0.130625i
\(155\) −6.75181 −0.542318
\(156\) −11.3448 7.50214i −0.908315 0.600652i
\(157\) −2.84274 4.92377i −0.226876 0.392960i 0.730005 0.683442i \(-0.239518\pi\)
−0.956880 + 0.290482i \(0.906184\pi\)
\(158\) 11.3589 6.10644i 0.903666 0.485802i
\(159\) 3.11103 5.38846i 0.246720 0.427332i
\(160\) 5.59192 + 0.854670i 0.442080 + 0.0675676i
\(161\) −17.3445 2.74847i −1.36694 0.216610i
\(162\) 15.4655 + 0.469264i 1.21508 + 0.0368689i
\(163\) 5.69372 9.86181i 0.445966 0.772437i −0.552153 0.833743i \(-0.686193\pi\)
0.998119 + 0.0613066i \(0.0195267\pi\)
\(164\) −7.29930 + 3.64312i −0.569979 + 0.284480i
\(165\) 2.55793 1.47682i 0.199135 0.114971i
\(166\) 12.9376 + 8.00230i 1.00416 + 0.621099i
\(167\) −5.82363 −0.450646 −0.225323 0.974284i \(-0.572344\pi\)
−0.225323 + 0.974284i \(0.572344\pi\)
\(168\) 11.7349 12.0595i 0.905366 0.930412i
\(169\) −3.85317 −0.296398
\(170\) 0.435473 + 0.269353i 0.0333993 + 0.0206584i
\(171\) 6.50529 3.75583i 0.497472 0.287216i
\(172\) 4.48331 + 8.98267i 0.341849 + 0.684922i
\(173\) −0.665524 + 1.15272i −0.0505989 + 0.0876398i −0.890216 0.455540i \(-0.849446\pi\)
0.839617 + 0.543179i \(0.182780\pi\)
\(174\) −10.6625 0.323528i −0.808322 0.0245266i
\(175\) 2.05601 + 1.66518i 0.155419 + 0.125876i
\(176\) −5.21564 0.635954i −0.393144 0.0479369i
\(177\) −14.9669 + 25.9234i −1.12498 + 1.94852i
\(178\) −2.87440 + 1.54525i −0.215446 + 0.115821i
\(179\) 0.321093 + 0.556150i 0.0239996 + 0.0415686i 0.877776 0.479072i \(-0.159027\pi\)
−0.853776 + 0.520640i \(0.825693\pi\)
\(180\) −2.26820 + 3.43000i −0.169061 + 0.255657i
\(181\) 15.3953 1.14432 0.572162 0.820141i \(-0.306105\pi\)
0.572162 + 0.820141i \(0.306105\pi\)
\(182\) −2.10926 + 11.1179i −0.156349 + 0.824110i
\(183\) 22.6980i 1.67788i
\(184\) −15.3380 10.8253i −1.13073 0.798053i
\(185\) −3.89163 + 2.24684i −0.286119 + 0.165191i
\(186\) −18.9110 + 10.1664i −1.38662 + 0.745434i
\(187\) −0.411883 0.237801i −0.0301199 0.0173897i
\(188\) 24.8873 + 1.51168i 1.81509 + 0.110251i
\(189\) −2.01205 5.24279i −0.146355 0.381357i
\(190\) 0.156700 5.16434i 0.0113682 0.374660i
\(191\) 4.72451 + 2.72770i 0.341853 + 0.197369i 0.661091 0.750305i \(-0.270094\pi\)
−0.319238 + 0.947675i \(0.603427\pi\)
\(192\) 16.9492 6.02606i 1.22320 0.434893i
\(193\) −0.821266 1.42248i −0.0591160 0.102392i 0.834953 0.550322i \(-0.185495\pi\)
−0.894069 + 0.447930i \(0.852162\pi\)
\(194\) −3.29933 2.04073i −0.236878 0.146516i
\(195\) 6.80051i 0.486995i
\(196\) −13.0272 5.12756i −0.930515 0.366254i
\(197\) 25.8538i 1.84201i 0.389555 + 0.921003i \(0.372629\pi\)
−0.389555 + 0.921003i \(0.627371\pi\)
\(198\) 2.00918 3.24832i 0.142786 0.230848i
\(199\) −6.42513 11.1287i −0.455465 0.788889i 0.543249 0.839571i \(-0.317194\pi\)
−0.998715 + 0.0506821i \(0.983860\pi\)
\(200\) 1.18577 + 2.56787i 0.0838463 + 0.181576i
\(201\) −3.49529 2.01800i −0.246538 0.142339i
\(202\) 12.9111 + 0.391757i 0.908424 + 0.0275640i
\(203\) 3.18001 + 8.28612i 0.223193 + 0.581572i
\(204\) 1.62528 + 0.0987213i 0.113792 + 0.00691187i
\(205\) −3.53249 2.03949i −0.246720 0.142444i
\(206\) 12.0114 + 22.3430i 0.836871 + 1.55671i
\(207\) 11.8186 6.82346i 0.821447 0.474263i
\(208\) −7.27233 + 9.66759i −0.504246 + 0.670327i
\(209\) 4.79901i 0.331954i
\(210\) 8.26593 + 1.56820i 0.570404 + 0.108216i
\(211\) 27.2452 1.87563 0.937817 0.347130i \(-0.112844\pi\)
0.937817 + 0.347130i \(0.112844\pi\)
\(212\) −4.61620 3.05261i −0.317042 0.209654i
\(213\) −14.0435 24.3241i −0.962245 1.66666i
\(214\) 10.1504 + 18.8813i 0.693868 + 1.29070i
\(215\) −2.50984 + 4.34716i −0.171169 + 0.296474i
\(216\) 0.545551 5.97851i 0.0371201 0.406786i
\(217\) 13.8818 + 11.2430i 0.942356 + 0.763225i
\(218\) 0.656353 21.6314i 0.0444539 1.46506i
\(219\) 10.1688 17.6128i 0.687142 1.19017i
\(220\) −1.17321 2.35062i −0.0790977 0.158479i
\(221\) −0.948325 + 0.547515i −0.0637912 + 0.0368299i
\(222\) −7.51688 + 12.1528i −0.504500 + 0.815646i
\(223\) −15.5595 −1.04194 −0.520971 0.853575i \(-0.674430\pi\)
−0.520971 + 0.853575i \(0.674430\pi\)
\(224\) −10.0738 11.0688i −0.673086 0.739564i
\(225\) −2.05606 −0.137071
\(226\) −11.3354 + 18.3263i −0.754017 + 1.21905i
\(227\) 14.7364 8.50808i 0.978091 0.564701i 0.0763977 0.997077i \(-0.475658\pi\)
0.901693 + 0.432376i \(0.142325\pi\)
\(228\) −7.33717 14.7006i −0.485916 0.973573i
\(229\) 2.15225 3.72781i 0.142225 0.246341i −0.786109 0.618088i \(-0.787908\pi\)
0.928334 + 0.371747i \(0.121241\pi\)
\(230\) 0.284686 9.38238i 0.0187716 0.618656i
\(231\) −7.71831 1.22307i −0.507827 0.0804722i
\(232\) −0.862232 + 9.44891i −0.0566083 + 0.620352i
\(233\) 2.00127 3.46631i 0.131108 0.227085i −0.792996 0.609227i \(-0.791480\pi\)
0.924104 + 0.382141i \(0.124813\pi\)
\(234\) −4.16400 7.74569i −0.272209 0.506351i
\(235\) 6.23329 + 10.7964i 0.406615 + 0.704278i
\(236\) 22.2081 + 14.6858i 1.44562 + 0.955966i
\(237\) 20.5048 1.33193
\(238\) −0.446814 1.27893i −0.0289626 0.0829009i
\(239\) 14.5547i 0.941465i −0.882276 0.470732i \(-0.843990\pi\)
0.882276 0.470732i \(-0.156010\pi\)
\(240\) 7.18769 + 5.40686i 0.463964 + 0.349011i
\(241\) −6.38377 + 3.68567i −0.411215 + 0.237415i −0.691312 0.722557i \(-0.742967\pi\)
0.280097 + 0.959972i \(0.409633\pi\)
\(242\) −6.21057 11.5526i −0.399231 0.742631i
\(243\) 15.7908 + 9.11681i 1.01298 + 0.584843i
\(244\) 20.1517 + 1.22404i 1.29008 + 0.0783610i
\(245\) −1.45432 6.84726i −0.0929133 0.437455i
\(246\) −12.9650 0.393392i −0.826618 0.0250818i
\(247\) 9.56897 + 5.52465i 0.608859 + 0.351525i
\(248\) 8.00607 + 17.3378i 0.508386 + 1.10095i
\(249\) 12.0938 + 20.9470i 0.766411 + 1.32746i
\(250\) −0.743926 + 1.20274i −0.0470500 + 0.0760677i
\(251\) 10.8136i 0.682546i 0.939964 + 0.341273i \(0.110858\pi\)
−0.939964 + 0.341273i \(0.889142\pi\)
\(252\) 10.3750 3.27513i 0.653564 0.206314i
\(253\) 8.71866i 0.548138i
\(254\) −10.9208 6.75479i −0.685229 0.423834i
\(255\) 0.407068 + 0.705063i 0.0254916 + 0.0441528i
\(256\) −4.43602 15.3728i −0.277251 0.960797i
\(257\) −2.68819 1.55202i −0.167684 0.0968126i 0.413809 0.910364i \(-0.364198\pi\)
−0.581494 + 0.813551i \(0.697531\pi\)
\(258\) −0.484117 + 15.9550i −0.0301398 + 0.993315i
\(259\) 11.7426 + 1.86078i 0.729651 + 0.115623i
\(260\) −6.03762 0.366732i −0.374437 0.0227438i
\(261\) −5.97317 3.44861i −0.369730 0.213464i
\(262\) −12.0563 + 6.48136i −0.744843 + 0.400420i
\(263\) −5.41133 + 3.12423i −0.333677 + 0.192648i −0.657472 0.753479i \(-0.728374\pi\)
0.323796 + 0.946127i \(0.395041\pi\)
\(264\) −6.82540 4.81727i −0.420074 0.296483i
\(265\) 2.76712i 0.169983i
\(266\) −8.92175 + 10.3570i −0.547027 + 0.635027i
\(267\) −5.18879 −0.317549
\(268\) −1.98011 + 2.99435i −0.120955 + 0.182909i
\(269\) −6.43871 11.1522i −0.392575 0.679960i 0.600213 0.799840i \(-0.295082\pi\)
−0.992788 + 0.119880i \(0.961749\pi\)
\(270\) 2.64385 1.42131i 0.160900 0.0864980i
\(271\) 2.05720 3.56317i 0.124966 0.216447i −0.796754 0.604304i \(-0.793451\pi\)
0.921720 + 0.387857i \(0.126785\pi\)
\(272\) 0.175293 1.43763i 0.0106287 0.0871690i
\(273\) −11.3241 + 13.9819i −0.685366 + 0.846223i
\(274\) −30.9565 0.939303i −1.87015 0.0567454i
\(275\) 0.656783 1.13758i 0.0396055 0.0685988i
\(276\) −13.3299 26.7076i −0.802366 1.60761i
\(277\) 0.0523704 0.0302361i 0.00314663 0.00181671i −0.498426 0.866932i \(-0.666088\pi\)
0.501572 + 0.865116i \(0.332755\pi\)
\(278\) −18.4239 11.3957i −1.10499 0.683468i
\(279\) −13.8822 −0.831103
\(280\) 1.83803 7.25408i 0.109844 0.433514i
\(281\) 20.2504 1.20804 0.604018 0.796971i \(-0.293566\pi\)
0.604018 + 0.796971i \(0.293566\pi\)
\(282\) 33.7151 + 20.8537i 2.00770 + 1.24182i
\(283\) 0.856074 0.494255i 0.0508883 0.0293804i −0.474340 0.880342i \(-0.657313\pi\)
0.525228 + 0.850961i \(0.323980\pi\)
\(284\) −22.3527 + 11.1563i −1.32639 + 0.662007i
\(285\) 4.10748 7.11437i 0.243306 0.421419i
\(286\) 5.61568 + 0.170395i 0.332062 + 0.0100756i
\(287\) 3.86671 + 10.0755i 0.228245 + 0.594735i
\(288\) 11.4973 + 1.75726i 0.677487 + 0.103547i
\(289\) −8.43445 + 14.6089i −0.496144 + 0.859347i
\(290\) −4.17855 + 2.24635i −0.245373 + 0.131910i
\(291\) −3.08412 5.34185i −0.180794 0.313145i
\(292\) −15.0886 9.97783i −0.882995 0.583909i
\(293\) −1.28131 −0.0748550 −0.0374275 0.999299i \(-0.511916\pi\)
−0.0374275 + 0.999299i \(0.511916\pi\)
\(294\) −14.3835 16.9885i −0.838861 0.990791i
\(295\) 13.3123i 0.775074i
\(296\) 10.3842 + 7.32899i 0.603567 + 0.425989i
\(297\) −2.41453 + 1.39403i −0.140105 + 0.0808896i
\(298\) −14.8945 + 8.00715i −0.862817 + 0.463842i
\(299\) 17.3846 + 10.0370i 1.00537 + 0.580453i
\(300\) −0.272659 + 4.48887i −0.0157420 + 0.259165i
\(301\) 12.3991 4.75846i 0.714670 0.274273i
\(302\) 0.648677 21.3784i 0.0373272 1.23019i
\(303\) 17.7863 + 10.2689i 1.02180 + 0.589935i
\(304\) −13.4472 + 5.72131i −0.771247 + 0.328140i
\(305\) 5.04721 + 8.74202i 0.289002 + 0.500567i
\(306\) 0.895361 + 0.553806i 0.0511844 + 0.0316590i
\(307\) 3.64739i 0.208168i −0.994569 0.104084i \(-0.966809\pi\)
0.994569 0.104084i \(-0.0331910\pi\)
\(308\) −1.50209 + 6.78650i −0.0855896 + 0.386697i
\(309\) 40.3329i 2.29446i
\(310\) −5.02285 + 8.12064i −0.285279 + 0.461222i
\(311\) −10.8206 18.7418i −0.613580 1.06275i −0.990632 0.136560i \(-0.956395\pi\)
0.377051 0.926192i \(-0.376938\pi\)
\(312\) −17.4628 + 8.06381i −0.988638 + 0.456524i
\(313\) 21.5795 + 12.4589i 1.21974 + 0.704219i 0.964863 0.262754i \(-0.0846308\pi\)
0.254880 + 0.966973i \(0.417964\pi\)
\(314\) −8.03679 0.243857i −0.453542 0.0137617i
\(315\) 4.22728 + 3.42372i 0.238180 + 0.192905i
\(316\) 1.10576 18.2045i 0.0622040 1.02408i
\(317\) 20.2359 + 11.6832i 1.13656 + 0.656193i 0.945576 0.325401i \(-0.105499\pi\)
0.190983 + 0.981593i \(0.438833\pi\)
\(318\) −4.16652 7.75036i −0.233647 0.434619i
\(319\) 3.81611 2.20323i 0.213661 0.123357i
\(320\) 5.18792 6.08979i 0.290013 0.340429i
\(321\) 34.0840i 1.90238i
\(322\) −16.2087 + 18.8162i −0.903276 + 1.04858i
\(323\) −1.32279 −0.0736019
\(324\) 12.0696 18.2518i 0.670533 1.01399i
\(325\) −1.51219 2.61918i −0.0838810 0.145286i
\(326\) −7.62544 14.1845i −0.422334 0.785607i
\(327\) 17.2046 29.7993i 0.951419 1.64791i
\(328\) −1.04843 + 11.4893i −0.0578896 + 0.634393i
\(329\) 5.16227 32.5770i 0.284605 1.79603i
\(330\) 0.126685 4.17516i 0.00697381 0.229835i
\(331\) 2.24164 3.88263i 0.123211 0.213409i −0.797821 0.602895i \(-0.794014\pi\)
0.921032 + 0.389486i \(0.127347\pi\)
\(332\) 19.2493 9.60745i 1.05644 0.527277i
\(333\) −8.00145 + 4.61964i −0.438477 + 0.253155i
\(334\) −4.33235 + 7.00428i −0.237056 + 0.383257i
\(335\) −1.79492 −0.0980671
\(336\) −5.77453 23.0854i −0.315026 1.25941i
\(337\) 22.5587 1.22885 0.614427 0.788974i \(-0.289387\pi\)
0.614427 + 0.788974i \(0.289387\pi\)
\(338\) −2.86648 + 4.63435i −0.155916 + 0.252075i
\(339\) −29.6717 + 17.1310i −1.61154 + 0.930426i
\(340\) 0.647920 0.323381i 0.0351384 0.0175378i
\(341\) 4.43448 7.68074i 0.240140 0.415935i
\(342\) 0.322184 10.6182i 0.0174217 0.574167i
\(343\) −8.41185 + 16.4997i −0.454197 + 0.890901i
\(344\) 14.1390 + 1.29021i 0.762326 + 0.0695637i
\(345\) 7.46232 12.9251i 0.401758 0.695865i
\(346\) 0.891319 + 1.65799i 0.0479176 + 0.0891341i
\(347\) 8.80310 + 15.2474i 0.472575 + 0.818524i 0.999507 0.0313830i \(-0.00999117\pi\)
−0.526932 + 0.849907i \(0.676658\pi\)
\(348\) −8.32123 + 12.5835i −0.446065 + 0.674546i
\(349\) −14.8958 −0.797356 −0.398678 0.917091i \(-0.630531\pi\)
−0.398678 + 0.917091i \(0.630531\pi\)
\(350\) 3.53229 1.23406i 0.188809 0.0659632i
\(351\) 6.41925i 0.342634i
\(352\) −4.64494 + 5.79993i −0.247576 + 0.309137i
\(353\) 10.8891 6.28685i 0.579571 0.334615i −0.181392 0.983411i \(-0.558060\pi\)
0.760963 + 0.648796i \(0.224727\pi\)
\(354\) 20.0447 + 37.2862i 1.06536 + 1.98174i
\(355\) −10.8176 6.24553i −0.574137 0.331478i
\(356\) −0.279817 + 4.60670i −0.0148302 + 0.244155i
\(357\) 0.337125 2.12746i 0.0178425 0.112597i
\(358\) 0.907771 + 0.0275442i 0.0479772 + 0.00145575i
\(359\) 4.78717 + 2.76387i 0.252657 + 0.145872i 0.620980 0.783826i \(-0.286735\pi\)
−0.368323 + 0.929698i \(0.620068\pi\)
\(360\) 2.43801 + 5.27971i 0.128494 + 0.278265i
\(361\) −2.82627 4.89524i −0.148751 0.257644i
\(362\) 11.4530 18.5165i 0.601955 0.973204i
\(363\) 20.8545i 1.09457i
\(364\) 11.8027 + 10.8077i 0.618630 + 0.566480i
\(365\) 9.04466i 0.473419i
\(366\) 27.2997 + 16.8856i 1.42698 + 0.882627i
\(367\) −1.34845 2.33559i −0.0703887 0.121917i 0.828683 0.559718i \(-0.189091\pi\)
−0.899072 + 0.437801i \(0.855757\pi\)
\(368\) −24.4303 + 10.3943i −1.27352 + 0.541839i
\(369\) −7.26303 4.19331i −0.378098 0.218295i
\(370\) −0.192739 + 6.35209i −0.0100200 + 0.330229i
\(371\) −4.60776 + 5.68921i −0.239223 + 0.295369i
\(372\) −1.84094 + 30.3080i −0.0954484 + 1.57139i
\(373\) −10.2505 5.91815i −0.530753 0.306430i 0.210570 0.977579i \(-0.432468\pi\)
−0.741323 + 0.671148i \(0.765801\pi\)
\(374\) −0.592422 + 0.318480i −0.0306334 + 0.0164682i
\(375\) −1.94732 + 1.12428i −0.100559 + 0.0580578i
\(376\) 20.3325 28.8083i 1.04857 1.48567i
\(377\) 10.1455i 0.522519i
\(378\) −7.80251 1.48028i −0.401318 0.0761375i
\(379\) −13.0284 −0.669223 −0.334611 0.942356i \(-0.608605\pi\)
−0.334611 + 0.942356i \(0.608605\pi\)
\(380\) −6.09476 4.03035i −0.312655 0.206753i
\(381\) −10.2084 17.6815i −0.522993 0.905851i
\(382\) 6.79538 3.65313i 0.347682 0.186910i
\(383\) 13.7424 23.8025i 0.702204 1.21625i −0.265487 0.964114i \(-0.585533\pi\)
0.967691 0.252138i \(-0.0811338\pi\)
\(384\) 5.36119 24.8683i 0.273587 1.26906i
\(385\) −3.24463 + 1.24521i −0.165362 + 0.0634618i
\(386\) −2.32182 0.0704502i −0.118178 0.00358582i
\(387\) −5.16038 + 8.93805i −0.262317 + 0.454346i
\(388\) −4.90891 + 2.45007i −0.249212 + 0.124383i
\(389\) −21.2638 + 12.2767i −1.07812 + 0.622452i −0.930388 0.366575i \(-0.880530\pi\)
−0.147731 + 0.989028i \(0.547197\pi\)
\(390\) −8.17922 5.05908i −0.414171 0.256176i
\(391\) −2.40319 −0.121535
\(392\) −15.8584 + 11.8538i −0.800969 + 0.598705i
\(393\) −21.7637 −1.09783
\(394\) 31.0953 + 19.2333i 1.56656 + 0.968961i
\(395\) 7.89731 4.55951i 0.397357 0.229414i
\(396\) −2.41219 4.83302i −0.121217 0.242869i
\(397\) −17.4233 + 30.1781i −0.874451 + 1.51459i −0.0171051 + 0.999854i \(0.505445\pi\)
−0.857346 + 0.514740i \(0.827888\pi\)
\(398\) −18.1647 0.551163i −0.910512 0.0276273i
\(399\) −20.2917 + 7.78747i −1.01586 + 0.389861i
\(400\) 3.97059 + 0.484143i 0.198530 + 0.0242072i
\(401\) 9.18494 15.9088i 0.458674 0.794447i −0.540217 0.841526i \(-0.681658\pi\)
0.998891 + 0.0470788i \(0.0149912\pi\)
\(402\) −5.02736 + 2.70266i −0.250742 + 0.134796i
\(403\) −10.2100 17.6842i −0.508596 0.880914i
\(404\) 10.0761 15.2372i 0.501305 0.758081i
\(405\) 10.9408 0.543652
\(406\) 12.3317 + 2.33955i 0.612012 + 0.116110i
\(407\) 5.90274i 0.292588i
\(408\) 1.32782 1.88134i 0.0657370 0.0931402i
\(409\) 22.3382 12.8970i 1.10455 0.637715i 0.167141 0.985933i \(-0.446547\pi\)
0.937413 + 0.348218i \(0.113213\pi\)
\(410\) −5.08088 + 2.73143i −0.250927 + 0.134896i
\(411\) −42.6456 24.6214i −2.10355 1.21449i
\(412\) 35.8083 + 2.17504i 1.76415 + 0.107156i
\(413\) 22.1675 27.3703i 1.09079 1.34680i
\(414\) 0.585333 19.2908i 0.0287675 0.948089i
\(415\) 9.31571 + 5.37842i 0.457290 + 0.264016i
\(416\) 6.21748 + 15.9387i 0.304837 + 0.781458i
\(417\) −17.2221 29.8296i −0.843372 1.46076i
\(418\) 5.77194 + 3.57011i 0.282315 + 0.174620i
\(419\) 8.97829i 0.438618i 0.975655 + 0.219309i \(0.0703803\pi\)
−0.975655 + 0.219309i \(0.929620\pi\)
\(420\) 8.03538 8.77511i 0.392086 0.428181i
\(421\) 13.7657i 0.670897i −0.942058 0.335449i \(-0.891112\pi\)
0.942058 0.335449i \(-0.108888\pi\)
\(422\) 20.2684 32.7687i 0.986650 1.59516i
\(423\) 12.8161 + 22.1981i 0.623138 + 1.07931i
\(424\) −7.10560 + 3.28115i −0.345078 + 0.159347i
\(425\) 0.313561 + 0.181034i 0.0152099 + 0.00878146i
\(426\) −39.7027 1.20469i −1.92360 0.0583672i
\(427\) 4.17998 26.3782i 0.202284 1.27653i
\(428\) 30.2604 + 1.83805i 1.46269 + 0.0888456i
\(429\) 7.73614 + 4.46646i 0.373504 + 0.215643i
\(430\) 3.36136 + 6.25264i 0.162099 + 0.301529i
\(431\) −19.0090 + 10.9749i −0.915633 + 0.528641i −0.882239 0.470801i \(-0.843965\pi\)
−0.0333938 + 0.999442i \(0.510632\pi\)
\(432\) −6.78472 5.10373i −0.326430 0.245553i
\(433\) 1.76054i 0.0846061i −0.999105 0.0423031i \(-0.986530\pi\)
0.999105 0.0423031i \(-0.0134695\pi\)
\(434\) 23.8494 8.33213i 1.14481 0.399955i
\(435\) −7.54300 −0.361659
\(436\) −25.5286 16.8816i −1.22260 0.808481i
\(437\) 12.1246 + 21.0004i 0.579998 + 1.00459i
\(438\) −13.6188 25.3330i −0.650730 1.21046i
\(439\) 1.56542 2.71138i 0.0747133 0.129407i −0.826248 0.563306i \(-0.809529\pi\)
0.900962 + 0.433899i \(0.142862\pi\)
\(440\) −3.69996 0.337628i −0.176388 0.0160958i
\(441\) −2.99018 14.0784i −0.142390 0.670400i
\(442\) −0.0469672 + 1.54790i −0.00223400 + 0.0736259i
\(443\) −1.20461 + 2.08644i −0.0572326 + 0.0991298i −0.893222 0.449616i \(-0.851561\pi\)
0.835990 + 0.548745i \(0.184894\pi\)
\(444\) 9.02466 + 18.0816i 0.428291 + 0.858117i
\(445\) −1.99844 + 1.15380i −0.0947350 + 0.0546953i
\(446\) −11.5751 + 18.7140i −0.548098 + 0.886132i
\(447\) −26.8872 −1.27172
\(448\) −20.8070 + 3.88180i −0.983039 + 0.183398i
\(449\) −22.8008 −1.07604 −0.538018 0.842933i \(-0.680827\pi\)
−0.538018 + 0.842933i \(0.680827\pi\)
\(450\) −1.52956 + 2.47290i −0.0721042 + 0.116574i
\(451\) 4.64017 2.67900i 0.218497 0.126149i
\(452\) 13.6091 + 27.2669i 0.640117 + 1.28253i
\(453\) 17.0034 29.4508i 0.798890 1.38372i
\(454\) 0.729844 24.0534i 0.0342533 1.12888i
\(455\) −1.25236 + 7.90313i −0.0587115 + 0.370504i
\(456\) −23.1393 2.11151i −1.08360 0.0988803i
\(457\) 5.54897 9.61110i 0.259570 0.449588i −0.706557 0.707656i \(-0.749753\pi\)
0.966127 + 0.258068i \(0.0830859\pi\)
\(458\) −2.88246 5.36181i −0.134688 0.250541i
\(459\) −0.384247 0.665535i −0.0179351 0.0310645i
\(460\) −11.0727 7.32220i −0.516269 0.341399i
\(461\) 0.197161 0.00918270 0.00459135 0.999989i \(-0.498539\pi\)
0.00459135 + 0.999989i \(0.498539\pi\)
\(462\) −7.21288 + 8.37321i −0.335574 + 0.389557i
\(463\) 39.2085i 1.82217i −0.412214 0.911087i \(-0.635244\pi\)
0.412214 0.911087i \(-0.364756\pi\)
\(464\) 10.7231 + 8.06633i 0.497808 + 0.374470i
\(465\) −13.1479 + 7.59096i −0.609720 + 0.352022i
\(466\) −2.68025 4.98568i −0.124160 0.230957i
\(467\) 6.09296 + 3.51777i 0.281949 + 0.162783i 0.634305 0.773083i \(-0.281286\pi\)
−0.352357 + 0.935866i \(0.614620\pi\)
\(468\) −12.4137 0.754024i −0.573825 0.0348548i
\(469\) 3.69037 + 2.98888i 0.170406 + 0.138014i
\(470\) 17.6223 + 0.534707i 0.812856 + 0.0246642i
\(471\) −11.0714 6.39210i −0.510145 0.294533i
\(472\) 34.1844 15.7853i 1.57346 0.726578i
\(473\) −3.29684 5.71029i −0.151589 0.262559i
\(474\) 15.2540 24.6618i 0.700641 1.13275i
\(475\) 3.65342i 0.167630i
\(476\) −1.87062 0.414033i −0.0857395 0.0189772i
\(477\) 5.68937i 0.260498i
\(478\) −17.5055 10.8276i −0.800681 0.495244i
\(479\) 14.9345 + 25.8674i 0.682377 + 1.18191i 0.974254 + 0.225455i \(0.0723868\pi\)
−0.291877 + 0.956456i \(0.594280\pi\)
\(480\) 11.8501 4.62259i 0.540882 0.210991i
\(481\) −11.7698 6.79527i −0.536654 0.309838i
\(482\) −0.316166 + 10.4199i −0.0144010 + 0.474612i
\(483\) −36.8653 + 14.1480i −1.67743 + 0.643756i
\(484\) −18.5150 1.12462i −0.841589 0.0511191i
\(485\) −2.37567 1.37159i −0.107873 0.0622808i
\(486\) 22.7123 12.2099i 1.03025 0.553852i
\(487\) 7.76585 4.48362i 0.351904 0.203172i −0.313619 0.949549i \(-0.601542\pi\)
0.665524 + 0.746377i \(0.268208\pi\)
\(488\) 16.4636 23.3266i 0.745271 1.05594i
\(489\) 25.6054i 1.15792i
\(490\) −9.31735 3.34469i −0.420915 0.151098i
\(491\) 28.3517 1.27949 0.639747 0.768585i \(-0.279039\pi\)
0.639747 + 0.768585i \(0.279039\pi\)
\(492\) −10.1181 + 15.3008i −0.456161 + 0.689814i
\(493\) 0.607294 + 1.05186i 0.0273511 + 0.0473735i
\(494\) 13.7633 7.39901i 0.619240 0.332897i
\(495\) 1.35039 2.33894i 0.0606954 0.105128i
\(496\) 26.8087 + 3.26884i 1.20375 + 0.146775i
\(497\) 11.8410 + 30.8541i 0.531143 + 1.38399i
\(498\) 34.1906 + 1.03743i 1.53212 + 0.0464885i
\(499\) 1.33164 2.30647i 0.0596125 0.103252i −0.834679 0.550737i \(-0.814347\pi\)
0.894291 + 0.447485i \(0.147680\pi\)
\(500\) 0.893147 + 1.78949i 0.0399428 + 0.0800286i
\(501\) −11.3405 + 6.54741i −0.506654 + 0.292517i
\(502\) 13.0059 + 8.04449i 0.580480 + 0.359043i
\(503\) 18.7909 0.837846 0.418923 0.908022i \(-0.362408\pi\)
0.418923 + 0.908022i \(0.362408\pi\)
\(504\) 3.77912 14.9148i 0.168335 0.664360i
\(505\) 9.13375 0.406446
\(506\) 10.4862 + 6.48604i 0.466171 + 0.288340i
\(507\) −7.50335 + 4.33206i −0.333236 + 0.192394i
\(508\) −16.2485 + 8.10971i −0.720909 + 0.359810i
\(509\) −9.94668 + 17.2282i −0.440879 + 0.763625i −0.997755 0.0669710i \(-0.978667\pi\)
0.556876 + 0.830596i \(0.312000\pi\)
\(510\) 1.15083 + 0.0349193i 0.0509598 + 0.00154625i
\(511\) −15.0610 + 18.5959i −0.666261 + 0.822633i
\(512\) −21.7894 6.10084i −0.962966 0.269621i
\(513\) −3.87720 + 6.71551i −0.171183 + 0.296497i
\(514\) −3.86649 + 2.07859i −0.170543 + 0.0916825i
\(515\) 8.96856 + 15.5340i 0.395202 + 0.684510i
\(516\) 18.8295 + 12.4516i 0.828923 + 0.548152i
\(517\) −16.3757 −0.720202
\(518\) 10.9737 12.7390i 0.482155 0.559719i
\(519\) 2.99296i 0.131376i
\(520\) −4.93262 + 6.98884i −0.216310 + 0.306481i
\(521\) −4.94160 + 2.85303i −0.216495 + 0.124994i −0.604326 0.796737i \(-0.706558\pi\)
0.387831 + 0.921730i \(0.373224\pi\)
\(522\) −8.59137 + 4.61863i −0.376034 + 0.202152i
\(523\) 31.6069 + 18.2482i 1.38207 + 0.797939i 0.992405 0.123016i \(-0.0392568\pi\)
0.389667 + 0.920956i \(0.372590\pi\)
\(524\) −1.17366 + 19.3222i −0.0512714 + 0.844096i
\(525\) 5.87584 + 0.931107i 0.256443 + 0.0406368i
\(526\) −0.268004 + 8.83259i −0.0116855 + 0.385119i
\(527\) 2.11710 + 1.22231i 0.0922225 + 0.0532447i
\(528\) −10.8715 + 4.62546i −0.473121 + 0.201297i
\(529\) 10.5275 + 18.2342i 0.457718 + 0.792791i
\(530\) −3.32811 2.05853i −0.144564 0.0894169i
\(531\) 27.3710i 1.18780i
\(532\) 5.81958 + 18.4353i 0.252311 + 0.799273i
\(533\) 12.3363i 0.534346i
\(534\) −3.86008 + 6.24074i −0.167042 + 0.270063i
\(535\) 7.57904 + 13.1273i 0.327671 + 0.567542i
\(536\) 2.12836 + 4.60913i 0.0919311 + 0.199084i
\(537\) 1.25054 + 0.722001i 0.0539649 + 0.0311566i
\(538\) −18.2030 0.552328i −0.784789 0.0238126i
\(539\) 8.74449 + 2.84275i 0.376652 + 0.122446i
\(540\) 0.257373 4.23720i 0.0110756 0.182340i
\(541\) 22.4500 + 12.9615i 0.965200 + 0.557259i 0.897770 0.440465i \(-0.145186\pi\)
0.0674307 + 0.997724i \(0.478520\pi\)
\(542\) −2.75515 5.12500i −0.118344 0.220138i
\(543\) 29.9795 17.3087i 1.28655 0.742787i
\(544\) −1.59868 1.28032i −0.0685429 0.0548933i
\(545\) 15.3027i 0.655497i
\(546\) 8.39222 + 24.0214i 0.359154 + 1.02802i
\(547\) −46.3561 −1.98205 −0.991023 0.133693i \(-0.957316\pi\)
−0.991023 + 0.133693i \(0.957316\pi\)
\(548\) −24.1591 + 36.5338i −1.03203 + 1.56065i
\(549\) 10.3774 + 17.9742i 0.442896 + 0.767118i
\(550\) −0.879612 1.63621i −0.0375068 0.0697684i
\(551\) 6.12783 10.6137i 0.261055 0.452160i
\(552\) −42.0386 3.83611i −1.78928 0.163276i
\(553\) −23.8294 3.77609i −1.01333 0.160576i
\(554\) 0.00259372 0.0854812i 0.000110197 0.00363175i
\(555\) −5.05217 + 8.75061i −0.214453 + 0.371443i
\(556\) −27.4120 + 13.6815i −1.16253 + 0.580225i
\(557\) −25.2643 + 14.5864i −1.07048 + 0.618044i −0.928313 0.371799i \(-0.878741\pi\)
−0.142170 + 0.989842i \(0.545408\pi\)
\(558\) −10.3273 + 16.6966i −0.437189 + 0.706822i
\(559\) −15.1814 −0.642103
\(560\) −7.35738 7.60717i −0.310906 0.321462i
\(561\) −1.06942 −0.0451511
\(562\) 15.0648 24.3558i 0.635469 1.02739i
\(563\) −3.13167 + 1.80807i −0.131984 + 0.0762011i −0.564538 0.825407i \(-0.690946\pi\)
0.432554 + 0.901608i \(0.357612\pi\)
\(564\) 50.1631 25.0367i 2.11225 1.05423i
\(565\) −7.61860 + 13.1958i −0.320517 + 0.555152i
\(566\) 0.0423984 1.39732i 0.00178214 0.0587337i
\(567\) −22.4943 18.2184i −0.944673 0.765102i
\(568\) −3.21060 + 35.1838i −0.134714 + 1.47628i
\(569\) −4.64527 + 8.04584i −0.194740 + 0.337299i −0.946815 0.321778i \(-0.895720\pi\)
0.752075 + 0.659077i \(0.229053\pi\)
\(570\) −5.50104 10.2328i −0.230413 0.428604i
\(571\) −3.00801 5.21003i −0.125881 0.218033i 0.796196 0.605039i \(-0.206843\pi\)
−0.922077 + 0.387006i \(0.873509\pi\)
\(572\) 4.38259 6.62742i 0.183245 0.277106i
\(573\) 12.2668 0.512454
\(574\) 14.9947 + 2.84476i 0.625865 + 0.118738i
\(575\) 6.63740i 0.276799i
\(576\) 10.6667 12.5210i 0.444445 0.521708i
\(577\) −31.1827 + 18.0033i −1.29815 + 0.749488i −0.980085 0.198580i \(-0.936367\pi\)
−0.318067 + 0.948068i \(0.603034\pi\)
\(578\) 11.2960 + 21.0124i 0.469853 + 0.873999i
\(579\) −3.19853 1.84667i −0.132927 0.0767452i
\(580\) −0.406772 + 6.69681i −0.0168903 + 0.278070i
\(581\) −10.1971 26.5704i −0.423046 1.10233i
\(582\) −8.71920 0.264563i −0.361422 0.0109665i
\(583\) 3.14782 + 1.81740i 0.130370 + 0.0752689i
\(584\) −23.2255 + 10.7249i −0.961079 + 0.443798i
\(585\) −3.10915 5.38521i −0.128548 0.222651i
\(586\) −0.953201 + 1.54108i −0.0393764 + 0.0636614i
\(587\) 30.4699i 1.25763i 0.777555 + 0.628814i \(0.216459\pi\)
−0.777555 + 0.628814i \(0.783541\pi\)
\(588\) −31.1330 + 4.66130i −1.28390 + 0.192229i
\(589\) 24.6672i 1.01639i
\(590\) 16.0112 + 9.90340i 0.659172 + 0.407717i
\(591\) 29.0670 + 50.3456i 1.19566 + 2.07094i
\(592\) 16.5399 7.03716i 0.679785 0.289226i
\(593\) 6.79176 + 3.92122i 0.278904 + 0.161025i 0.632927 0.774211i \(-0.281853\pi\)
−0.354023 + 0.935237i \(0.615187\pi\)
\(594\) −0.119583 + 3.94109i −0.00490655 + 0.161705i
\(595\) −0.343227 0.894344i −0.0140709 0.0366645i
\(596\) −1.44995 + 23.8709i −0.0593922 + 0.977791i
\(597\) −25.0235 14.4474i −1.02415 0.591291i
\(598\) 25.0047 13.4423i 1.02252 0.549695i
\(599\) −8.87320 + 5.12294i −0.362549 + 0.209318i −0.670198 0.742182i \(-0.733791\pi\)
0.307649 + 0.951500i \(0.400458\pi\)
\(600\) 5.19608 + 3.66732i 0.212129 + 0.149718i
\(601\) 39.3191i 1.60386i 0.597420 + 0.801929i \(0.296193\pi\)
−0.597420 + 0.801929i \(0.703807\pi\)
\(602\) 3.50083 18.4527i 0.142683 0.752078i
\(603\) −3.69048 −0.150288
\(604\) −25.2300 16.6841i −1.02659 0.678868i
\(605\) −4.63727 8.03199i −0.188532 0.326547i
\(606\) 25.5825 13.7529i 1.03922 0.558673i
\(607\) 8.11619 14.0577i 0.329426 0.570583i −0.652972 0.757382i \(-0.726478\pi\)
0.982398 + 0.186799i \(0.0598114\pi\)
\(608\) −3.12247 + 20.4296i −0.126633 + 0.828530i
\(609\) 15.5084 + 12.5605i 0.628434 + 0.508976i
\(610\) 14.2691 + 0.432962i 0.577739 + 0.0175301i
\(611\) −18.8518 + 32.6523i −0.762662 + 1.32097i
\(612\) 1.33216 0.664891i 0.0538496 0.0268766i
\(613\) 19.2113 11.0917i 0.775937 0.447988i −0.0590511 0.998255i \(-0.518808\pi\)
0.834989 + 0.550267i \(0.185474\pi\)
\(614\) −4.38685 2.71339i −0.177039 0.109504i
\(615\) −9.17185 −0.369845
\(616\) 7.04492 + 6.85527i 0.283848 + 0.276207i
\(617\) 6.15896 0.247951 0.123975 0.992285i \(-0.460436\pi\)
0.123975 + 0.992285i \(0.460436\pi\)
\(618\) 48.5098 + 30.0047i 1.95135 + 1.20697i
\(619\) −19.1120 + 11.0343i −0.768175 + 0.443506i −0.832223 0.554441i \(-0.812932\pi\)
0.0640481 + 0.997947i \(0.479599\pi\)
\(620\) 6.03036 + 12.0823i 0.242185 + 0.485238i
\(621\) −7.04396 + 12.2005i −0.282664 + 0.489589i
\(622\) −30.5912 0.928218i −1.22660 0.0372182i
\(623\) 6.03009 + 0.955550i 0.241590 + 0.0382833i
\(624\) −3.29242 + 27.0021i −0.131802 + 1.08095i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) 31.0383 16.6859i 1.24054 0.666902i
\(627\) 5.39545 + 9.34520i 0.215474 + 0.373211i
\(628\) −6.27208 + 9.48472i −0.250283 + 0.378482i
\(629\) 1.62702 0.0648735
\(630\) 7.26262 2.53730i 0.289350 0.101089i
\(631\) 31.8382i 1.26746i −0.773555 0.633729i \(-0.781523\pi\)
0.773555 0.633729i \(-0.218477\pi\)
\(632\) −21.0726 14.8728i −0.838223 0.591606i
\(633\) 53.0550 30.6313i 2.10875 1.21749i
\(634\) 29.1058 15.6470i 1.15594 0.621420i
\(635\) −7.86344 4.53996i −0.312051 0.180163i
\(636\) −12.4212 0.754479i −0.492533 0.0299171i
\(637\) 15.7350 14.1635i 0.623444 0.561177i
\(638\) 0.188998 6.22881i 0.00748252 0.246601i
\(639\) −22.2416 12.8412i −0.879864 0.507990i
\(640\) −3.46498 10.7700i −0.136965 0.425724i
\(641\) −3.82910 6.63219i −0.151240 0.261956i 0.780443 0.625226i \(-0.214993\pi\)
−0.931684 + 0.363271i \(0.881660\pi\)
\(642\) 40.9941 + 25.3560i 1.61791 + 1.00072i
\(643\) 15.5274i 0.612340i −0.951977 0.306170i \(-0.900952\pi\)
0.951977 0.306170i \(-0.0990476\pi\)
\(644\) 10.5728 + 33.4926i 0.416627 + 1.31979i
\(645\) 11.2871i 0.444428i
\(646\) −0.984058 + 1.59097i −0.0387172 + 0.0625957i
\(647\) 6.28748 + 10.8902i 0.247186 + 0.428139i 0.962744 0.270414i \(-0.0871607\pi\)
−0.715558 + 0.698554i \(0.753827\pi\)
\(648\) −12.9732 28.0945i −0.509636 1.10366i
\(649\) −15.1439 8.74332i −0.594449 0.343205i
\(650\) −4.27514 0.129719i −0.167685 0.00508800i
\(651\) 39.6725 + 6.28666i 1.55489 + 0.246394i
\(652\) −22.7330 1.38083i −0.890292 0.0540774i
\(653\) 41.7322 + 24.0941i 1.63311 + 0.942874i 0.983127 + 0.182922i \(0.0585556\pi\)
0.649979 + 0.759952i \(0.274778\pi\)
\(654\) −23.0417 42.8611i −0.901002 1.67600i
\(655\) −8.38219 + 4.83946i −0.327519 + 0.189093i
\(656\) 13.0387 + 9.80820i 0.509075 + 0.382946i
\(657\) 18.5964i 0.725515i
\(658\) −35.3412 30.4438i −1.37774 1.18682i
\(659\) 21.0948 0.821736 0.410868 0.911695i \(-0.365226\pi\)
0.410868 + 0.911695i \(0.365226\pi\)
\(660\) −4.92738 3.25838i −0.191798 0.126832i
\(661\) 10.4693 + 18.1334i 0.407210 + 0.705308i 0.994576 0.104013i \(-0.0331684\pi\)
−0.587366 + 0.809321i \(0.699835\pi\)
\(662\) −3.00216 5.58449i −0.116682 0.217047i
\(663\) −1.23113 + 2.13237i −0.0478130 + 0.0828145i
\(664\) 2.76485 30.2991i 0.107297 1.17583i
\(665\) −6.08361 + 7.51145i −0.235912 + 0.291282i
\(666\) −0.396284 + 13.0603i −0.0153557 + 0.506076i
\(667\) 11.1328 19.2826i 0.431065 0.746626i
\(668\) 5.20135 + 10.4213i 0.201246 + 0.403214i
\(669\) −30.2993 + 17.4933i −1.17144 + 0.676330i
\(670\) −1.33529 + 2.15882i −0.0515868 + 0.0834024i
\(671\) −13.2597 −0.511885
\(672\) −32.0614 10.2286i −1.23680 0.394576i
\(673\) −6.93060 −0.267155 −0.133578 0.991038i \(-0.542647\pi\)
−0.133578 + 0.991038i \(0.542647\pi\)
\(674\) 16.7820 27.1322i 0.646420 1.04509i
\(675\) 1.83814 1.06125i 0.0707502 0.0408476i
\(676\) 3.44145 + 6.89523i 0.132363 + 0.265201i
\(677\) 6.87785 11.9128i 0.264337 0.457845i −0.703053 0.711138i \(-0.748180\pi\)
0.967390 + 0.253293i \(0.0815135\pi\)
\(678\) −1.46954 + 48.4314i −0.0564372 + 1.86000i
\(679\) 2.60043 + 6.77593i 0.0997955 + 0.260036i
\(680\) 0.0930632 1.01985i 0.00356881 0.0391094i
\(681\) 19.1310 33.1359i 0.733102 1.26977i
\(682\) −5.93898 11.0474i −0.227415 0.423027i
\(683\) 2.06581 + 3.57808i 0.0790459 + 0.136912i 0.902839 0.429980i \(-0.141479\pi\)
−0.823793 + 0.566891i \(0.808146\pi\)
\(684\) −12.5312 8.28667i −0.479143 0.316849i
\(685\) −21.8997 −0.836743
\(686\) 13.5870 + 22.3918i 0.518755 + 0.854923i
\(687\) 9.67899i 0.369276i
\(688\) 12.0702 16.0457i 0.460172 0.611736i
\(689\) 7.24759 4.18440i 0.276111 0.159413i
\(690\) −9.99409 18.5905i −0.380468 0.707730i
\(691\) −35.6084 20.5585i −1.35461 0.782082i −0.365716 0.930727i \(-0.619176\pi\)
−0.988891 + 0.148644i \(0.952509\pi\)
\(692\) 2.65720 + 0.161401i 0.101012 + 0.00613556i
\(693\) −6.67118 + 2.56023i −0.253417 + 0.0972552i
\(694\) 24.8875 + 0.755151i 0.944716 + 0.0286652i
\(695\) −13.2660 7.65915i −0.503210 0.290528i
\(696\) 8.94423 + 19.3694i 0.339030 + 0.734197i
\(697\) 0.738435 + 1.27901i 0.0279702 + 0.0484458i
\(698\) −11.0814 + 17.9158i −0.419438 + 0.678122i
\(699\) 9.00000i 0.340411i
\(700\) 1.14352 5.16646i 0.0432210 0.195274i
\(701\) 0.155387i 0.00586887i −0.999996 0.00293444i \(-0.999066\pi\)
0.999996 0.00293444i \(-0.000934061\pi\)
\(702\) 7.72066 + 4.77545i 0.291398 + 0.180238i
\(703\) −8.20863 14.2178i −0.309594 0.536233i
\(704\) 3.52030 + 9.90135i 0.132676 + 0.373171i
\(705\) 24.2764 + 14.0160i 0.914303 + 0.527873i
\(706\) 0.539301 17.7737i 0.0202969 0.668923i
\(707\) −18.7790 15.2094i −0.706258 0.572007i
\(708\) 59.7573 + 3.62973i 2.24582 + 0.136414i
\(709\) 17.8060 + 10.2803i 0.668717 + 0.386084i 0.795590 0.605835i \(-0.207161\pi\)
−0.126874 + 0.991919i \(0.540494\pi\)
\(710\) −15.5592 + 8.36447i −0.583926 + 0.313913i
\(711\) 16.2374 9.37465i 0.608949 0.351577i
\(712\) 5.33248 + 3.76359i 0.199843 + 0.141047i
\(713\) 44.8144i 1.67831i
\(714\) −2.30797 1.98814i −0.0863738 0.0744044i
\(715\) 3.97271 0.148571
\(716\) 0.708444 1.07132i 0.0264758 0.0400371i
\(717\) −16.3636 28.3426i −0.611110 1.05847i
\(718\) 6.88551 3.70158i 0.256965 0.138142i
\(719\) −11.0943 + 19.2160i −0.413749 + 0.716634i −0.995296 0.0968783i \(-0.969114\pi\)
0.581547 + 0.813513i \(0.302448\pi\)
\(720\) 8.16379 + 0.995429i 0.304247 + 0.0370975i
\(721\) 7.42756 46.8723i 0.276617 1.74562i
\(722\) −7.99021 0.242444i −0.297365 0.00902283i
\(723\) −8.28749 + 14.3544i −0.308215 + 0.533844i
\(724\) −13.7503 27.5498i −0.511025 1.02388i
\(725\) −2.90515 + 1.67729i −0.107894 + 0.0622929i
\(726\) −25.0824 15.5142i −0.930895 0.575785i
\(727\) 30.9326 1.14723 0.573613 0.819127i \(-0.305542\pi\)
0.573613 + 0.819127i \(0.305542\pi\)
\(728\) 21.7792 6.15536i 0.807191 0.228133i
\(729\) 8.17716 0.302858
\(730\) −10.8783 6.72856i −0.402625 0.249035i
\(731\) 1.57397 0.908734i 0.0582155 0.0336107i
\(732\) 40.6179 20.2727i 1.50128 0.749299i
\(733\) −19.5494 + 33.8606i −0.722074 + 1.25067i 0.238093 + 0.971242i \(0.423478\pi\)
−0.960167 + 0.279426i \(0.909856\pi\)
\(734\) −3.81225 0.115674i −0.140713 0.00426959i
\(735\) −10.5303 11.6987i −0.388416 0.431514i
\(736\) −5.67279 + 37.1158i −0.209102 + 1.36811i
\(737\) 1.17888 2.04187i 0.0434244 0.0752133i
\(738\) −10.4466 + 5.61599i −0.384545 + 0.206728i
\(739\) −13.5525 23.4737i −0.498538 0.863494i 0.501460 0.865181i \(-0.332796\pi\)
−0.999999 + 0.00168689i \(0.999463\pi\)
\(740\) 7.49650 + 4.95730i 0.275577 + 0.182234i
\(741\) 24.8451 0.912708
\(742\) 3.41478 + 9.77427i 0.125361 + 0.358825i
\(743\) 2.76625i 0.101484i 0.998712 + 0.0507419i \(0.0161586\pi\)
−0.998712 + 0.0507419i \(0.983841\pi\)
\(744\) 35.0830 + 24.7611i 1.28620 + 0.907785i
\(745\) −10.3555 + 5.97873i −0.379395 + 0.219044i
\(746\) −14.7436 + 7.92602i −0.539802 + 0.290192i
\(747\) 19.1537 + 11.0584i 0.700797 + 0.404605i
\(748\) −0.0576709 + 0.949453i −0.00210866 + 0.0347155i
\(749\) 6.27679 39.6103i 0.229349 1.44733i
\(750\) −0.0964439 + 3.17849i −0.00352163 + 0.116062i
\(751\) 28.6416 + 16.5362i 1.04515 + 0.603415i 0.921287 0.388884i \(-0.127139\pi\)
0.123860 + 0.992300i \(0.460473\pi\)
\(752\) −19.5229 45.8858i −0.711926 1.67328i
\(753\) 12.1575 + 21.0574i 0.443045 + 0.767376i
\(754\) −12.2023 7.54749i −0.444383 0.274864i
\(755\) 15.1238i 0.550410i
\(756\) −7.58488 + 8.28314i −0.275860 + 0.301255i
\(757\) 28.5714i 1.03845i −0.854639 0.519223i \(-0.826221\pi\)
0.854639 0.519223i \(-0.173779\pi\)
\(758\) −9.69216 + 15.6697i −0.352035 + 0.569149i
\(759\) 9.80226 + 16.9780i 0.355799 + 0.616263i
\(760\) −9.38151 + 4.33210i −0.340303 + 0.157142i
\(761\) 8.84164 + 5.10472i 0.320509 + 0.185046i 0.651619 0.758546i \(-0.274090\pi\)
−0.331110 + 0.943592i \(0.607423\pi\)
\(762\) −28.8605 0.875703i −1.04551 0.0317234i
\(763\) −25.4819 + 31.4625i −0.922506 + 1.13902i
\(764\) 0.661515 10.8907i 0.0239328 0.394012i
\(765\) 0.644701 + 0.372218i 0.0233092 + 0.0134576i
\(766\) −18.4048 34.2358i −0.664993 1.23699i
\(767\) −34.8675 + 20.1307i −1.25899 + 0.726879i
\(768\) −25.9217 24.9483i −0.935369 0.900244i
\(769\) 4.34684i 0.156751i −0.996924 0.0783755i \(-0.975027\pi\)
0.996924 0.0783755i \(-0.0249733\pi\)
\(770\) −0.916110 + 4.82878i −0.0330143 + 0.174017i
\(771\) −6.97967 −0.251367
\(772\) −1.81200 + 2.74013i −0.0652153 + 0.0986195i
\(773\) 8.02006 + 13.8911i 0.288461 + 0.499630i 0.973443 0.228931i \(-0.0735230\pi\)
−0.684981 + 0.728561i