Properties

Label 280.2.bj.f.131.8
Level $280$
Weight $2$
Character 280.131
Analytic conductor $2.236$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 131.8
Character \(\chi\) \(=\) 280.131
Dual form 280.2.bj.f.171.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.669637 - 1.24563i) q^{2} +(1.94732 - 1.12428i) q^{3} +(-1.10317 - 1.66823i) q^{4} +(-0.500000 + 0.866025i) q^{5} +(-0.0964439 - 3.17849i) q^{6} +(2.47009 - 0.947962i) q^{7} +(-2.81672 + 0.257032i) q^{8} +(1.02803 - 1.78060i) q^{9} +O(q^{10})\) \(q+(0.669637 - 1.24563i) q^{2} +(1.94732 - 1.12428i) q^{3} +(-1.10317 - 1.66823i) 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} +(0.743926 + 1.20274i) q^{10} +(0.656783 + 1.13758i) q^{11} +(-4.02380 - 2.00830i) q^{12} -3.02437 q^{13} +(0.473259 - 3.71161i) q^{14} +2.24857i q^{15} +(-1.56602 + 3.68071i) q^{16} +(-0.313561 + 0.181034i) q^{17} +(-1.52956 - 2.47290i) 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} +(-5.19608 + 3.66732i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(-2.02523 + 3.76724i) q^{26} +2.12251i q^{27} +(-4.30637 - 3.07493i) q^{28} +3.35458i q^{29} +(2.80088 + 1.50572i) q^{30} +(3.37591 + 5.84724i) q^{31} +(3.53612 + 4.41541i) 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} +(4.39410 - 2.71787i) q^{38} +(-5.88941 + 3.40026i) q^{39} +(1.18577 - 2.56787i) q^{40} -4.07897i q^{41} +(-3.25132 - 7.75976i) q^{42} -5.01967 q^{43} +(1.17321 - 2.35062i) q^{44} +(1.02803 + 1.78060i) q^{45} +(-7.98303 + 4.93773i) 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} +(3.33641 + 5.04536i) q^{52} +(-2.39639 + 1.38356i) q^{53} +(2.64385 + 1.42131i) q^{54} -1.31357 q^{55} +(-6.71392 + 3.30504i) q^{56} +8.21496 q^{57} +(4.17855 + 2.24635i) q^{58} +(-11.5288 + 6.65617i) q^{59} +(3.75114 - 2.48056i) 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} +(3.55246 - 2.19730i) q^{66} +(-0.897462 - 1.55445i) q^{67} +(0.647920 + 0.323381i) q^{68} -14.9246 q^{69} +(2.97772 + 2.26566i) q^{70} +12.4911i q^{71} +(-2.43801 + 5.27971i) q^{72} +(7.83291 - 4.52233i) q^{73} +(5.40470 - 3.34296i) 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} +(-2.40458 - 3.19656i) q^{80} +(5.47040 + 9.47500i) q^{81} +(-5.08088 - 2.73143i) q^{82} +10.7568i q^{83} +(-11.8430 - 1.14629i) q^{84} -0.362069i q^{85} +(-3.36136 + 6.25264i) q^{86} +(3.77150 + 6.53243i) q^{87} +(-2.14237 - 3.03544i) 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} +(-9.27422 - 14.9940i) q^{94} +(-3.16395 + 1.82671i) q^{95} +(11.8501 + 4.62259i) q^{96} -2.74318i q^{97} +(-2.34946 - 9.61665i) q^{98} +2.70078 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q + 3q^{2} + 12q^{3} + q^{4} - 12q^{5} - 2q^{6} + 10q^{7} - 6q^{8} + 12q^{9} + O(q^{10}) \) \( 24q + 3q^{2} + 12q^{3} + q^{4} - 12q^{5} - 2q^{6} + 10q^{7} - 6q^{8} + 12q^{9} - 3q^{10} + 8q^{11} + 10q^{12} + 20q^{13} + 5q^{14} - 3q^{16} + 6q^{17} + 3q^{18} + 18q^{19} - 2q^{20} - 26q^{21} - 16q^{22} + 18q^{23} - 18q^{24} - 12q^{25} - 37q^{26} - 41q^{28} - 8q^{30} - 6q^{31} + 3q^{32} + 12q^{33} - 20q^{34} - 8q^{35} - 22q^{36} + 15q^{38} - 18q^{39} + 3q^{40} - 12q^{42} + 32q^{43} + 35q^{44} + 12q^{45} - 49q^{46} - 14q^{48} + 8q^{49} - 22q^{51} - 41q^{52} + 30q^{53} + 104q^{54} - 16q^{55} + 44q^{56} - 44q^{57} - 54q^{58} - 18q^{59} - 8q^{60} + 22q^{61} + 8q^{62} - 12q^{63} + 58q^{64} - 10q^{65} + 8q^{66} - 8q^{67} + 18q^{68} - 12q^{69} - q^{70} - 17q^{72} + 30q^{73} + 53q^{74} - 12q^{75} + 8q^{76} - 32q^{77} - 8q^{78} + 6q^{79} - 3q^{80} - 4q^{81} - 57q^{82} + 42q^{86} + 14q^{87} - 17q^{88} - 60q^{89} + 24q^{90} + 18q^{91} - 38q^{92} - 18q^{93} + 19q^{94} - 18q^{95} - 74q^{96} + 3q^{98} - 56q^{99} + O(q^{100}) \)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.669637 1.24563i 0.473505 0.880791i
\(3\) 1.94732 1.12428i 1.12428 0.649106i 0.181793 0.983337i \(-0.441810\pi\)
0.942491 + 0.334231i \(0.108476\pi\)
\(4\) −1.10317 1.66823i −0.551587 0.834117i
\(5\) −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
\(10\) 0.743926 + 1.20274i 0.235250 + 0.380338i
\(11\) 0.656783 + 1.13758i 0.198028 + 0.342994i 0.947889 0.318601i \(-0.103213\pi\)
−0.749861 + 0.661595i \(0.769880\pi\)
\(12\) −4.02380 2.00830i −1.16157 0.579747i
\(13\) −3.02437 −0.838810 −0.419405 0.907799i \(-0.637761\pi\)
−0.419405 + 0.907799i \(0.637761\pi\)
\(14\) 0.473259 3.71161i 0.126484 0.991969i
\(15\) 2.24857i 0.580578i
\(16\) −1.56602 + 3.68071i −0.391504 + 0.920176i
\(17\) −0.313561 + 0.181034i −0.0760497 + 0.0439073i −0.537543 0.843237i \(-0.680647\pi\)
0.461493 + 0.887144i \(0.347314\pi\)
\(18\) −1.52956 2.47290i −0.360521 0.582868i
\(19\) 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 −0.238336 0.971183i \(-0.576602\pi\)
−0.960237 + 0.279186i \(0.909935\pi\)
\(24\) −5.19608 + 3.66732i −1.06065 + 0.748589i
\(25\) −0.500000 0.866025i −0.100000 0.173205i
\(26\) −2.02523 + 3.76724i −0.397180 + 0.738817i
\(27\) 2.12251i 0.408476i
\(28\) −4.30637 3.07493i −0.813827 0.581108i
\(29\) 3.35458i 0.622929i 0.950258 + 0.311465i \(0.100820\pi\)
−0.950258 + 0.311465i \(0.899180\pi\)
\(30\) 2.80088 + 1.50572i 0.511368 + 0.274906i
\(31\) 3.37591 + 5.84724i 0.606330 + 1.05020i 0.991840 + 0.127491i \(0.0406924\pi\)
−0.385509 + 0.922704i \(0.625974\pi\)
\(32\) 3.53612 + 4.41541i 0.625104 + 0.780541i
\(33\) 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 0.784530 0.620091i \(-0.212904\pi\)
−0.144749 + 0.989468i \(0.546238\pi\)
\(38\) 4.39410 2.71787i 0.712817 0.440897i
\(39\) −5.88941 + 3.40026i −0.943061 + 0.544477i
\(40\) 1.18577 2.56787i 0.187486 0.406016i
\(41\) 4.07897i 0.637029i −0.947918 0.318514i \(-0.896816\pi\)
0.947918 0.318514i \(-0.103184\pi\)
\(42\) −3.25132 7.75976i −0.501689 1.19736i
\(43\) −5.01967 −0.765493 −0.382746 0.923853i \(-0.625022\pi\)
−0.382746 + 0.923853i \(0.625022\pi\)
\(44\) 1.17321 2.35062i 0.176868 0.354369i
\(45\) 1.02803 + 1.78060i 0.153250 + 0.265437i
\(46\) −7.98303 + 4.93773i −1.17703 + 0.728029i
\(47\) 6.23329 10.7964i 0.909219 1.57481i 0.0940684 0.995566i \(-0.470013\pi\)
0.815151 0.579249i \(-0.196654\pi\)
\(48\) 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
\(52\) 3.33641 + 5.04536i 0.462676 + 0.699666i
\(53\) −2.39639 + 1.38356i −0.329170 + 0.190046i −0.655473 0.755219i \(-0.727531\pi\)
0.326303 + 0.945265i \(0.394197\pi\)
\(54\) 2.64385 + 1.42131i 0.359783 + 0.193415i
\(55\) −1.31357 −0.177121
\(56\) −6.71392 + 3.30504i −0.897185 + 0.441654i
\(57\) 8.21496 1.08810
\(58\) 4.17855 + 2.24635i 0.548671 + 0.294960i
\(59\) −11.5288 + 6.65617i −1.50093 + 0.866559i −0.500926 + 0.865490i \(0.667007\pi\)
−0.999999 + 0.00106912i \(0.999660\pi\)
\(60\) 3.75114 2.48056i 0.484270 0.320239i
\(61\) 5.04721 8.74202i 0.646229 1.11930i −0.337787 0.941222i \(-0.609678\pi\)
0.984016 0.178079i \(-0.0569882\pi\)
\(62\) 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
\(66\) 3.55246 2.19730i 0.437277 0.270468i
\(67\) −0.897462 1.55445i −0.109642 0.189906i 0.805983 0.591939i \(-0.201637\pi\)
−0.915625 + 0.402032i \(0.868304\pi\)
\(68\) 0.647920 + 0.323381i 0.0785718 + 0.0392157i
\(69\) −14.9246 −1.79672
\(70\) 2.97772 + 2.26566i 0.355905 + 0.270798i
\(71\) 12.4911i 1.48242i 0.671276 + 0.741208i \(0.265747\pi\)
−0.671276 + 0.741208i \(0.734253\pi\)
\(72\) −2.43801 + 5.27971i −0.287322 + 0.622219i
\(73\) 7.83291 4.52233i 0.916772 0.529299i 0.0341685 0.999416i \(-0.489122\pi\)
0.882604 + 0.470117i \(0.155788\pi\)
\(74\) 5.40470 3.34296i 0.628284 0.388611i
\(75\) −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 −0.0150598 0.999887i \(-0.504794\pi\)
−0.873457 + 0.486901i \(0.838127\pi\)
\(80\) −2.40458 3.19656i −0.268840 0.357387i
\(81\) 5.47040 + 9.47500i 0.607822 + 1.05278i
\(82\) −5.08088 2.73143i −0.561089 0.301636i
\(83\) 10.7568i 1.18072i 0.807141 + 0.590359i \(0.201014\pi\)
−0.807141 + 0.590359i \(0.798986\pi\)
\(84\) −11.8430 1.14629i −1.29217 0.125071i
\(85\) 0.362069i 0.0392719i
\(86\) −3.36136 + 6.25264i −0.362464 + 0.674240i
\(87\) 3.77150 + 6.53243i 0.404347 + 0.700350i
\(88\) −2.14237 3.03544i −0.228378 0.323579i
\(89\) −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
\(94\) −9.27422 14.9940i −0.956563 1.54651i
\(95\) −3.16395 + 1.82671i −0.324615 + 0.187416i
\(96\) 11.8501 + 4.62259i 1.20945 + 0.471791i
\(97\) 2.74318i 0.278528i −0.990255 0.139264i \(-0.955526\pi\)
0.990255 0.139264i \(-0.0444737\pi\)
\(98\) −2.34946 9.61665i −0.237332 0.971429i
\(99\) 2.70078 0.271438
\(100\) −0.893147 + 1.78949i −0.0893147 + 0.178949i
\(101\) −4.56687 7.91006i −0.454421 0.787080i 0.544234 0.838934i \(-0.316820\pi\)
−0.998655 + 0.0518536i \(0.983487\pi\)
\(102\) 0.605658 + 0.979192i 0.0599691 + 0.0969544i
\(103\) 8.96856 15.5340i 0.883699 1.53061i 0.0365014 0.999334i \(-0.488379\pi\)
0.847198 0.531278i \(-0.178288\pi\)
\(104\) 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 \(0.904929\pi\)
\(108\) 3.54084 2.34149i 0.340717 0.225310i
\(109\) −13.2526 + 7.65137i −1.26937 + 0.732868i −0.974868 0.222784i \(-0.928486\pi\)
−0.294497 + 0.955652i \(0.595152\pi\)
\(110\) −0.879612 + 1.63621i −0.0838678 + 0.156007i
\(111\) 10.1043 0.959061
\(112\) −0.379041 + 10.5762i −0.0358160 + 0.999358i
\(113\) −15.2372 −1.43340 −0.716698 0.697384i \(-0.754347\pi\)
−0.716698 + 0.697384i \(0.754347\pi\)
\(114\) 5.50104 10.2328i 0.515220 0.958388i
\(115\) 5.74815 3.31870i 0.536018 0.309470i
\(116\) 5.59622 3.70068i 0.519596 0.343599i
\(117\) −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
\(122\) −7.50950 12.1409i −0.679879 1.09919i
\(123\) −4.58593 7.94306i −0.413499 0.716201i
\(124\) 6.03036 12.0823i 0.541542 1.08502i
\(125\) 1.00000 0.0894427
\(126\) −6.12237 4.65834i −0.545424 0.414998i
\(127\) 9.07992i 0.805713i 0.915263 + 0.402856i \(0.131983\pi\)
−0.915263 + 0.402856i \(0.868017\pi\)
\(128\) 3.46498 10.7700i 0.306264 0.951947i
\(129\) −9.77490 + 5.64354i −0.860632 + 0.496886i
\(130\) −2.24991 3.63752i −0.197330 0.319032i
\(131\) −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
\(136\) 0.836683 0.590519i 0.0717449 0.0506366i
\(137\) −10.9498 18.9657i −0.935507 1.62035i −0.773728 0.633518i \(-0.781610\pi\)
−0.161779 0.986827i \(-0.551723\pi\)
\(138\) −9.99409 + 18.5905i −0.850753 + 1.58253i
\(139\) 15.3183i 1.29928i −0.760241 0.649641i \(-0.774919\pi\)
0.760241 0.649641i \(-0.225081\pi\)
\(140\) 4.81615 2.19196i 0.407039 0.185254i
\(141\) 28.0320i 2.36072i
\(142\) 15.5592 + 8.36447i 1.30570 + 0.701930i
\(143\) −1.98636 3.44047i −0.166108 0.287707i
\(144\) 4.94396 + 6.57234i 0.411997 + 0.547695i
\(145\) −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 0.860095 0.510135i \(-0.170404\pi\)
−0.0117422 + 0.999931i \(0.503738\pi\)
\(150\) −2.70443 + 1.67277i −0.220816 + 0.136581i
\(151\) −13.0976 + 7.56188i −1.06586 + 0.615377i −0.927049 0.374941i \(-0.877663\pi\)
−0.138816 + 0.990318i \(0.544330\pi\)
\(152\) −9.38151 4.33210i −0.760941 0.351380i
\(153\) 0.744437i 0.0601841i
\(154\) 4.53309 1.89935i 0.365287 0.153054i
\(155\) −6.75181 −0.542318
\(156\) 12.1695 + 6.07386i 0.974338 + 0.486298i
\(157\) 2.84274 + 4.92377i 0.226876 + 0.392960i 0.956880 0.290482i \(-0.0938156\pi\)
−0.730005 + 0.683442i \(0.760482\pi\)
\(158\) −10.9678 + 6.78389i −0.872550 + 0.539697i
\(159\) −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 \(0.0195267\pi\)
\(164\) −6.80469 + 4.49982i −0.531357 + 0.351377i
\(165\) −2.55793 + 1.47682i −0.199135 + 0.114971i
\(166\) 13.3990 + 7.20318i 1.03997 + 0.559075i
\(167\) 5.82363 0.450646 0.225323 0.974284i \(-0.427656\pi\)
0.225323 + 0.974284i \(0.427656\pi\)
\(168\) −9.35833 + 13.9843i −0.722011 + 1.07891i
\(169\) −3.85317 −0.296398
\(170\) −0.451003 0.242455i −0.0345903 0.0185954i
\(171\) 6.50529 3.75583i 0.497472 0.287216i
\(172\) 5.53757 + 8.37399i 0.422236 + 0.638511i
\(173\) 0.665524 1.15272i 0.0505989 0.0876398i −0.839617 0.543179i \(-0.817220\pi\)
0.890216 + 0.455540i \(0.150554\pi\)
\(174\) 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
\(178\) −2.77543 + 1.71668i −0.208027 + 0.128671i
\(179\) 0.321093 + 0.556150i 0.0239996 + 0.0415686i 0.877776 0.479072i \(-0.159027\pi\)
−0.853776 + 0.520640i \(0.825693\pi\)
\(180\) 1.83637 3.67931i 0.136875 0.274240i
\(181\) −15.3953 −1.14432 −0.572162 0.820141i \(-0.693895\pi\)
−0.572162 + 0.820141i \(0.693895\pi\)
\(182\) −1.43131 + 11.2253i −0.106096 + 0.832073i
\(183\) 22.6980i 1.67788i
\(184\) 17.0440 + 7.87040i 1.25650 + 0.580214i
\(185\) −3.89163 + 2.24684i −0.286119 + 0.165191i
\(186\) 18.2598 11.2942i 1.33888 0.828133i
\(187\) −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 0.319238 0.947675i \(-0.396573\pi\)
−0.661091 + 0.750305i \(0.729906\pi\)
\(192\) 13.6933 11.6654i 0.988229 0.841877i
\(193\) −0.821266 1.42248i −0.0591160 0.102392i 0.834953 0.550322i \(-0.185495\pi\)
−0.894069 + 0.447930i \(0.852162\pi\)
\(194\) −3.41698 1.83694i −0.245325 0.131884i
\(195\) 6.80051i 0.486995i
\(196\) −13.5521 3.51311i −0.968004 0.250936i
\(197\) 25.8538i 1.84201i −0.389555 0.921003i \(-0.627371\pi\)
0.389555 0.921003i \(-0.372629\pi\)
\(198\) 1.80854 3.36416i 0.128527 0.239081i
\(199\) 6.42513 + 11.1287i 0.455465 + 0.788889i 0.998715 0.0506821i \(-0.0161395\pi\)
−0.543249 + 0.839571i \(0.682806\pi\)
\(200\) 1.63096 + 2.31084i 0.115326 + 0.163401i
\(201\) −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
\(206\) −13.3439 21.5736i −0.929714 1.50311i
\(207\) −11.8186 + 6.82346i −0.821447 + 0.474263i
\(208\) 4.73622 11.1318i 0.328397 0.771853i
\(209\) 4.79901i 0.331954i
\(210\) 8.34581 + 1.06416i 0.575915 + 0.0734338i
\(211\) 27.2452 1.87563 0.937817 0.347130i \(-0.112844\pi\)
0.937817 + 0.347130i \(0.112844\pi\)
\(212\) 4.95174 + 2.47144i 0.340087 + 0.169739i
\(213\) 14.0435 + 24.3241i 0.962245 + 1.66666i
\(214\) 11.2765 + 18.2312i 0.770846 + 1.24626i
\(215\) 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
\(220\) 1.44909 + 2.19134i 0.0976978 + 0.147740i
\(221\) 0.948325 0.547515i 0.0637912 0.0368299i
\(222\) 6.76623 12.5862i 0.454120 0.844733i
\(223\) 15.5595 1.04194 0.520971 0.853575i \(-0.325570\pi\)
0.520971 + 0.853575i \(0.325570\pi\)
\(224\) 12.9202 + 7.55436i 0.863267 + 0.504747i
\(225\) −2.05606 −0.137071
\(226\) −10.2034 + 18.9799i −0.678719 + 1.26252i
\(227\) 14.7364 8.50808i 0.978091 0.564701i 0.0763977 0.997077i \(-0.475658\pi\)
0.901693 + 0.432376i \(0.142325\pi\)
\(228\) −9.06253 13.7045i −0.600181 0.907602i
\(229\) −2.15225 + 3.72781i −0.142225 + 0.246341i −0.928334 0.371747i \(-0.878759\pi\)
0.786109 + 0.618088i \(0.212092\pi\)
\(230\) −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 \(0.124813\pi\)
\(234\) 4.62596 + 7.47897i 0.302408 + 0.488916i
\(235\) 6.23329 + 10.7964i 0.406615 + 0.704278i
\(236\) 23.8223 + 11.8899i 1.55070 + 0.773965i
\(237\) −20.5048 −1.33193
\(238\) 0.523533 + 1.24949i 0.0339356 + 0.0809925i
\(239\) 14.5547i 0.941465i 0.882276 + 0.470732i \(0.156010\pi\)
−0.882276 + 0.470732i \(0.843990\pi\)
\(240\) −8.27632 3.52130i −0.534234 0.227299i
\(241\) −6.38377 + 3.68567i −0.411215 + 0.237415i −0.691312 0.722557i \(-0.742967\pi\)
0.280097 + 0.959972i \(0.409633\pi\)
\(242\) −6.89958 11.1548i −0.443522 0.717059i
\(243\) 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
\(248\) −11.0119 15.6023i −0.699258 0.990750i
\(249\) 12.0938 + 20.9470i 0.766411 + 1.32746i
\(250\) 0.669637 1.24563i 0.0423515 0.0787804i
\(251\) 10.8136i 0.682546i 0.939964 + 0.341273i \(0.110858\pi\)
−0.939964 + 0.341273i \(0.889142\pi\)
\(252\) −9.90232 + 4.50680i −0.623787 + 0.283902i
\(253\) 8.71866i 0.548138i
\(254\) 11.3102 + 6.08025i 0.709665 + 0.381509i
\(255\) −0.407068 0.705063i −0.0254916 0.0441528i
\(256\) −11.0952 11.5281i −0.693449 0.720505i
\(257\) −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
\(262\) −11.6412 + 7.20041i −0.719195 + 0.444843i
\(263\) 5.41133 3.12423i 0.333677 0.192648i −0.323796 0.946127i \(-0.604959\pi\)
0.657472 + 0.753479i \(0.271626\pi\)
\(264\) −7.58458 3.50233i −0.466799 0.215554i
\(265\) 2.76712i 0.169983i
\(266\) 8.27740 10.8788i 0.507520 0.667025i
\(267\) −5.18879 −0.317549
\(268\) −1.60313 + 3.21200i −0.0979268 + 0.196204i
\(269\) 6.43871 + 11.1522i 0.392575 + 0.679960i 0.992788 0.119880i \(-0.0382510\pi\)
−0.600213 + 0.799840i \(0.704918\pi\)
\(270\) −2.55281 + 1.57899i −0.155359 + 0.0960942i
\(271\) −2.05720 + 3.56317i −0.124966 + 0.216447i −0.921720 0.387857i \(-0.873215\pi\)
0.796754 + 0.604304i \(0.206549\pi\)
\(272\) −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
\(276\) 16.4645 + 24.8978i 0.991045 + 1.49867i
\(277\) −0.0523704 + 0.0302361i −0.00314663 + 0.00181671i −0.501572 0.865116i \(-0.667245\pi\)
0.498426 + 0.866932i \(0.333912\pi\)
\(278\) −19.0809 10.2577i −1.14440 0.615216i
\(279\) 13.8822 0.831103
\(280\) 0.494712 7.46694i 0.0295647 0.446235i
\(281\) 20.2504 1.20804 0.604018 0.796971i \(-0.293566\pi\)
0.604018 + 0.796971i \(0.293566\pi\)
\(282\) −34.9174 18.7712i −2.07930 1.11781i
\(283\) 0.856074 0.494255i 0.0508883 0.0293804i −0.474340 0.880342i \(-0.657313\pi\)
0.525228 + 0.850961i \(0.323980\pi\)
\(284\) 20.8380 13.7798i 1.23651 0.817681i
\(285\) −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
\(290\) −4.03467 + 2.49556i −0.236924 + 0.146544i
\(291\) −3.08412 5.34185i −0.180794 0.313145i
\(292\) −16.1854 8.07821i −0.947177 0.472742i
\(293\) 1.28131 0.0748550 0.0374275 0.999299i \(-0.488084\pi\)
0.0374275 + 0.999299i \(0.488084\pi\)
\(294\) −15.3870 16.0852i −0.897389 0.938109i
\(295\) 13.3123i 0.775074i
\(296\) −11.5392 5.32844i −0.670701 0.309710i
\(297\) −2.41453 + 1.39403i −0.140105 + 0.0808896i
\(298\) 14.3817 8.89547i 0.833107 0.515301i
\(299\) 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
\(304\) −11.6784 + 8.78492i −0.669801 + 0.503850i
\(305\) 5.04721 + 8.74202i 0.289002 + 0.500567i
\(306\) 0.927290 + 0.498502i 0.0530097 + 0.0284975i
\(307\) 3.64739i 0.208168i −0.994569 0.104084i \(-0.966809\pi\)
0.994569 0.104084i \(-0.0331910\pi\)
\(308\) 0.669639 6.91841i 0.0381562 0.394213i
\(309\) 40.3329i 2.29446i
\(310\) −4.52126 + 8.41024i −0.256790 + 0.477669i
\(311\) 10.8206 + 18.7418i 0.613580 + 1.06275i 0.990632 + 0.136560i \(0.0436047\pi\)
−0.377051 + 0.926192i \(0.623062\pi\)
\(312\) 15.7149 11.0913i 0.889680 0.627924i
\(313\) 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 −0.190983 0.981593i \(-0.561167\pi\)
−0.945576 + 0.325401i \(0.894501\pi\)
\(318\) 4.62875 + 7.48349i 0.259567 + 0.419653i
\(319\) −3.81611 + 2.20323i −0.213661 + 0.123357i
\(320\) −2.67995 + 7.53776i −0.149814 + 0.421374i
\(321\) 34.0840i 1.90238i
\(322\) −15.0381 + 19.7643i −0.838039 + 1.10142i
\(323\) −1.32279 −0.0736019
\(324\) 9.77174 19.5785i 0.542874 1.08769i
\(325\) 1.51219 + 2.61918i 0.0838810 + 0.145286i
\(326\) −8.47141 13.6961i −0.469188 0.758556i
\(327\) −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 \(0.127347\pi\)
\(332\) 17.9450 11.8667i 0.984857 0.651268i
\(333\) 8.00145 4.61964i 0.438477 0.253155i
\(334\) 3.89971 7.25407i 0.213383 0.396925i
\(335\) 1.79492 0.0980671
\(336\) 11.1526 + 21.0214i 0.608422 + 1.14681i
\(337\) 22.5587 1.22885 0.614427 0.788974i \(-0.289387\pi\)
0.614427 + 0.788974i \(0.289387\pi\)
\(338\) −2.58023 + 4.79962i −0.140346 + 0.261065i
\(339\) −29.6717 + 17.1310i −1.61154 + 0.930426i
\(340\) −0.604016 + 0.399425i −0.0327574 + 0.0216619i
\(341\) −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
\(346\) −0.990202 1.60090i −0.0532336 0.0860649i
\(347\) 8.80310 + 15.2474i 0.472575 + 0.818524i 0.999507 0.0313830i \(-0.00999117\pi\)
−0.526932 + 0.849907i \(0.676658\pi\)
\(348\) 6.73700 13.4981i 0.361141 0.723577i
\(349\) 14.8958 0.797356 0.398678 0.917091i \(-0.369469\pi\)
0.398678 + 0.917091i \(0.369469\pi\)
\(350\) −3.45098 + 1.44595i −0.184462 + 0.0772892i
\(351\) 6.41925i 0.342634i
\(352\) −2.70042 + 6.92260i −0.143933 + 0.368976i
\(353\) 10.8891 6.28685i 0.579571 0.334615i −0.181392 0.983411i \(-0.558060\pi\)
0.760963 + 0.648796i \(0.224727\pi\)
\(354\) 22.2685 + 36.0024i 1.18356 + 1.91350i
\(355\) −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 0.368323 0.929698i \(-0.379932\pi\)
−0.620980 + 0.783826i \(0.713265\pi\)
\(360\) −3.35335 4.75123i −0.176737 0.250412i
\(361\) −2.82627 4.89524i −0.148751 0.257644i
\(362\) −10.3093 + 19.1768i −0.541842 + 1.00791i
\(363\) 20.8545i 1.09457i
\(364\) 13.0241 + 9.29974i 0.682646 + 0.487439i
\(365\) 9.04466i 0.473419i
\(366\) −28.2732 15.1994i −1.47787 0.794486i
\(367\) 1.34845 + 2.33559i 0.0703887 + 0.121917i 0.899072 0.437801i \(-0.144243\pi\)
−0.828683 + 0.559718i \(0.810909\pi\)
\(368\) 21.2169 15.9601i 1.10600 0.831979i
\(369\) −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 0.741323 0.671148i \(-0.234199\pi\)
−0.210570 + 0.977579i \(0.567532\pi\)
\(374\) −0.572023 + 0.353813i −0.0295786 + 0.0182952i
\(375\) 1.94732 1.12428i 0.100559 0.0580578i
\(376\) −14.7825 + 32.0126i −0.762347 + 1.65092i
\(377\) 10.1455i 0.522519i
\(378\) 7.87791 + 1.00450i 0.405196 + 0.0516657i
\(379\) −13.0284 −0.669223 −0.334611 0.942356i \(-0.608605\pi\)
−0.334611 + 0.942356i \(0.608605\pi\)
\(380\) 6.53777 + 3.26304i 0.335381 + 0.167390i
\(381\) 10.2084 + 17.6815i 0.522993 + 0.905851i
\(382\) −6.56139 + 4.05841i −0.335710 + 0.207646i
\(383\) −13.7424 + 23.8025i −0.702204 + 1.21625i 0.265487 + 0.964114i \(0.414467\pi\)
−0.967691 + 0.252138i \(0.918866\pi\)
\(384\) −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
\(388\) −4.57628 + 3.02621i −0.232325 + 0.153632i
\(389\) 21.2638 12.2767i 1.07812 0.622452i 0.147731 0.989028i \(-0.452803\pi\)
0.930388 + 0.366575i \(0.119470\pi\)
\(390\) −8.47090 4.55387i −0.428941 0.230594i
\(391\) 2.40319 0.121535
\(392\) −13.4510 + 14.5283i −0.679377 + 0.733790i
\(393\) −21.7637 −1.09783
\(394\) −32.2042 17.3126i −1.62242 0.872198i
\(395\) 7.89731 4.55951i 0.397357 0.229414i
\(396\) −2.97943 4.50553i −0.149722 0.226411i
\(397\) 17.4233 30.1781i 0.874451 1.51459i 0.0171051 0.999854i \(-0.494555\pi\)
0.857346 0.514740i \(-0.172112\pi\)
\(398\) 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 \(0.0149912\pi\)
\(402\) −4.85425 + 3.00249i −0.242108 + 0.149751i
\(403\) −10.2100 17.6842i −0.508596 0.880914i
\(404\) −8.15778 + 16.3448i −0.405865 + 0.813183i
\(405\) −10.9408 −0.543652
\(406\) 12.4509 + 1.58758i 0.617926 + 0.0787905i
\(407\) 5.90274i 0.292588i
\(408\) 0.965376 2.09060i 0.0477932 0.103500i
\(409\) 22.3382 12.8970i 1.10455 0.637715i 0.167141 0.985933i \(-0.446547\pi\)
0.937413 + 0.348218i \(0.113213\pi\)
\(410\) 4.90593 3.03446i 0.242286 0.149861i
\(411\) −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
\(416\) −10.6946 13.3538i −0.524344 0.654726i
\(417\) −17.2221 29.8296i −0.843372 1.46076i
\(418\) 5.97778 + 3.21359i 0.292383 + 0.157182i
\(419\) 8.97829i 0.438618i 0.975655 + 0.219309i \(0.0703803\pi\)
−0.975655 + 0.219309i \(0.929620\pi\)
\(420\) 6.91420 9.68316i 0.337378 0.472490i
\(421\) 13.7657i 0.670897i 0.942058 + 0.335449i \(0.108888\pi\)
−0.942058 + 0.335449i \(0.891112\pi\)
\(422\) 18.2444 33.9373i 0.888121 1.65204i
\(423\) −12.8161 22.1981i −0.623138 1.07931i
\(424\) 6.39436 4.51305i 0.310538 0.219173i
\(425\) 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
\(430\) −3.73427 6.03734i −0.180082 0.291146i
\(431\) 19.0090 10.9749i 0.915633 0.528641i 0.0333938 0.999442i \(-0.489368\pi\)
0.882239 + 0.470801i \(0.156035\pi\)
\(432\) −7.81232 3.32388i −0.375870 0.159920i
\(433\) 1.76054i 0.0846061i −0.999105 0.0423031i \(-0.986530\pi\)
0.999105 0.0423031i \(-0.0134695\pi\)
\(434\) 23.3003 9.76277i 1.11845 0.468628i
\(435\) −7.54300 −0.361659
\(436\) 27.3842 + 13.6676i 1.31146 + 0.654559i
\(437\) −12.1246 21.0004i −0.579998 1.00459i
\(438\) −15.1296 24.4607i −0.722922 1.16878i
\(439\) −1.56542 + 2.71138i −0.0747133 + 0.129407i −0.900962 0.433899i \(-0.857138\pi\)
0.826248 + 0.563306i \(0.190471\pi\)
\(440\) 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 \(0.184894\pi\)
\(444\) −11.1468 16.8564i −0.529005 0.799970i
\(445\) 1.99844 1.15380i 0.0947350 0.0546953i
\(446\) 10.4192 19.3813i 0.493364 0.917733i
\(447\) 26.8872 1.27172
\(448\) 18.0618 11.0351i 0.853338 0.521358i
\(449\) −22.8008 −1.07604 −0.538018 0.842933i \(-0.680827\pi\)
−0.538018 + 0.842933i \(0.680827\pi\)
\(450\) −1.37682 + 2.56109i −0.0649037 + 0.120731i
\(451\) 4.64017 2.67900i 0.218497 0.126149i
\(452\) 16.8093 + 25.4192i 0.790642 + 1.19562i
\(453\) −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 \(0.0830859\pi\)
\(458\) 3.20224 + 5.17719i 0.149631 + 0.241914i
\(459\) −0.384247 0.665535i −0.0179351 0.0310645i
\(460\) −11.8776 5.92817i −0.553795 0.276402i
\(461\) −0.197161 −0.00918270 −0.00459135 0.999989i \(-0.501461\pi\)
−0.00459135 + 0.999989i \(0.501461\pi\)
\(462\) 6.69195 8.79512i 0.311338 0.409186i
\(463\) 39.2085i 1.82217i 0.412214 + 0.911087i \(0.364756\pi\)
−0.412214 + 0.911087i \(0.635244\pi\)
\(464\) −12.3472 5.25332i −0.573205 0.243879i
\(465\) −13.1479 + 7.59096i −0.609720 + 0.352022i
\(466\) −2.97760 4.81401i −0.137935 0.223005i
\(467\) 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
\(472\) 30.7627 21.7119i 1.41597 0.999370i
\(473\) −3.29684 5.71029i −0.151589 0.262559i
\(474\) −13.7307 + 25.5413i −0.630674 + 1.17315i
\(475\) 3.65342i 0.167630i
\(476\) 1.90698 + 0.184578i 0.0874061 + 0.00846011i
\(477\) 5.68937i 0.260498i
\(478\) 18.1297 + 9.74635i 0.829234 + 0.445788i
\(479\) −14.9345 25.8674i −0.682377 1.18191i −0.974254 0.225455i \(-0.927613\pi\)
0.291877 0.956456i \(-0.405720\pi\)
\(480\) −9.92835 + 7.95122i −0.453165 + 0.362922i
\(481\) −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
\(486\) 21.9302 13.5645i 0.994775 0.615297i
\(487\) −7.76585 + 4.48362i −0.351904 + 0.203172i −0.665524 0.746377i \(-0.731792\pi\)
0.313619 + 0.949549i \(0.398458\pi\)
\(488\) −11.9696 + 25.9212i −0.541839 + 1.17340i
\(489\) 25.6054i 1.15792i
\(490\) 9.50300 + 2.77363i 0.429302 + 0.125300i
\(491\) 28.3517 1.27949 0.639747 0.768585i \(-0.279039\pi\)
0.639747 + 0.768585i \(0.279039\pi\)
\(492\) −8.19181 + 16.4130i −0.369316 + 0.739954i
\(493\) −0.607294 1.05186i −0.0273511 0.0473735i
\(494\) −13.2894 + 8.21986i −0.597918 + 0.369829i
\(495\) −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 \(0.147680\pi\)
\(500\) −1.10317 1.66823i −0.0493354 0.0746057i
\(501\) 11.3405 6.54741i 0.506654 0.292517i
\(502\) 13.4697 + 7.24116i 0.601181 + 0.323189i
\(503\) −18.7909 −0.837846 −0.418923 0.908022i \(-0.637592\pi\)
−0.418923 + 0.908022i \(0.637592\pi\)
\(504\) −1.01716 + 15.3525i −0.0453079 + 0.683855i
\(505\) 9.13375 0.406446
\(506\) −10.8602 5.83834i −0.482795 0.259546i
\(507\) −7.50335 + 4.33206i −0.333236 + 0.192394i
\(508\) 15.1474 10.0167i 0.672059 0.444421i
\(509\) 9.94668 17.2282i 0.440879 0.763625i −0.556876 0.830596i \(-0.688000\pi\)
0.997755 + 0.0669710i \(0.0213335\pi\)
\(510\) −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
\(514\) −3.73335 + 2.30918i −0.164671 + 0.101854i
\(515\) 8.96856 + 15.5340i 0.395202 + 0.684510i
\(516\) 20.1982 + 10.0810i 0.889175 + 0.443792i
\(517\) 16.3757 0.720202
\(518\) 10.1811 13.3809i 0.447333 0.587922i
\(519\) 2.99296i 0.131376i
\(520\) −3.58620 + 7.76620i −0.157265 + 0.340570i
\(521\) −4.94160 + 2.85303i −0.216495 + 0.124994i −0.604326 0.796737i \(-0.706558\pi\)
0.387831 + 0.921730i \(0.373224\pi\)
\(522\) 8.29554 5.13102i 0.363086 0.224579i
\(523\) 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
\(528\) −9.44151 + 7.10227i −0.410889 + 0.309087i
\(529\) 10.5275 + 18.2342i 0.457718 + 0.792791i
\(530\) −3.44680 1.85296i −0.149719 0.0804876i
\(531\) 27.3710i 1.18780i
\(532\) −8.00813 17.5954i −0.347197 0.762858i
\(533\) 12.3363i 0.534346i
\(534\) −3.47460 + 6.46330i −0.150361 + 0.279694i
\(535\) −7.57904 13.1273i −0.327671 0.567542i
\(536\) 2.92744 + 4.14778i 0.126446 + 0.179157i
\(537\) 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 −0.0674307 0.997724i \(-0.521480\pi\)
−0.897770 + 0.440465i \(0.854814\pi\)
\(542\) 3.06081 + 4.94853i 0.131473 + 0.212558i
\(543\) −29.9795 + 17.3087i −1.28655 + 0.742787i
\(544\) −1.90813 0.744338i −0.0818104 0.0319132i
\(545\) 15.3027i 0.655497i
\(546\) 9.83319 + 23.4684i 0.420822 + 1.00435i
\(547\) −46.3561 −1.98205 −0.991023 0.133693i \(-0.957316\pi\)
−0.991023 + 0.133693i \(0.957316\pi\)
\(548\) −19.5596 + 39.1893i −0.835545 + 1.67408i
\(549\) −10.3774 17.9742i −0.442896 0.767118i
\(550\) −0.977197 1.57987i −0.0416678 0.0673660i
\(551\) −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
\(556\) −25.5545 + 16.8988i −1.08375 + 0.716667i
\(557\) 25.2643 14.5864i 1.07048 0.618044i 0.142170 0.989842i \(-0.454592\pi\)
0.928313 + 0.371799i \(0.121259\pi\)
\(558\) 9.29600 17.2920i 0.393531 0.732028i
\(559\) 15.1814 0.642103
\(560\) −8.96975 5.61637i −0.379041 0.237335i
\(561\) −1.06942 −0.0451511
\(562\) 13.5604 25.2244i 0.572010 1.06403i
\(563\) −3.13167 + 1.80807i −0.131984 + 0.0762011i −0.564538 0.825407i \(-0.690946\pi\)
0.432554 + 0.901608i \(0.357612\pi\)
\(564\) −46.7639 + 30.9241i −1.96912 + 1.30214i
\(565\) 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 \(0.229053\pi\)
\(570\) 6.11133 + 9.88043i 0.255975 + 0.413846i
\(571\) −3.00801 5.21003i −0.125881 0.218033i 0.796196 0.605039i \(-0.206843\pi\)
−0.922077 + 0.387006i \(0.873509\pi\)
\(572\) −3.54822 + 7.10915i −0.148358 + 0.297248i
\(573\) −12.2668 −0.512454
\(574\) −15.1395 1.93041i −0.631912 0.0805739i
\(575\) 6.63740i 0.276799i
\(576\) 5.51015 15.4981i 0.229590 0.645755i
\(577\) −31.1827 + 18.0033i −1.29815 + 0.749488i −0.980085 0.198580i \(-0.936367\pi\)
−0.318067 + 0.948068i \(0.603034\pi\)
\(578\) 12.5492 + 20.2888i 0.521979 + 0.843904i
\(579\) −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
\(584\) −20.9008 + 14.7515i −0.864879 + 0.610420i
\(585\) −3.10915 5.38521i −0.128548 0.222651i
\(586\) 0.858013 1.59604i 0.0354442 0.0659316i
\(587\) 30.4699i 1.25763i 0.777555 + 0.628814i \(0.216459\pi\)
−0.777555 + 0.628814i \(0.783541\pi\)
\(588\) −30.3399 + 8.39523i −1.25120 + 0.346213i
\(589\) 24.6672i 1.01639i
\(590\) −16.5822 8.91443i −0.682679 0.367001i
\(591\) −29.0670 50.3456i −1.19566 2.07094i
\(592\) −14.3643 + 10.8054i −0.590369 + 0.444098i
\(593\) 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
\(598\) 24.1437 14.9335i 0.987308 0.610678i
\(599\) 8.87320 5.12294i 0.362549 0.209318i −0.307649 0.951500i \(-0.599542\pi\)
0.670198 + 0.742182i \(0.266209\pi\)
\(600\) 5.77403 + 2.66628i 0.235724 + 0.108850i
\(601\) 39.3191i 1.60386i 0.597420 + 0.801929i \(0.296193\pi\)
−0.597420 + 0.801929i \(0.703807\pi\)
\(602\) −2.37561 + 18.6311i −0.0968225 + 0.759345i
\(603\) −3.69048 −0.150288
\(604\) 27.0639 + 13.5077i 1.10121 + 0.549623i
\(605\) 4.63727 + 8.03199i 0.188532 + 0.326547i
\(606\) −24.7016 + 15.2787i −1.00343 + 0.620653i
\(607\) −8.11619 + 14.0577i −0.329426 + 0.570583i −0.982398 0.186799i \(-0.940189\pi\)
0.652972 + 0.757382i \(0.273522\pi\)
\(608\) 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
\(612\) 1.24190 0.821243i 0.0502006 0.0331968i
\(613\) −19.2113 + 11.0917i −0.775937 + 0.447988i −0.834989 0.550267i \(-0.814526\pi\)
0.0590511 + 0.998255i \(0.481192\pi\)
\(614\) −4.54329 2.44243i −0.183352 0.0985684i
\(615\) 9.17185 0.369845
\(616\) −8.16934 5.46694i −0.329152 0.220269i
\(617\) 6.15896 0.247951 0.123975 0.992285i \(-0.460436\pi\)
0.123975 + 0.992285i \(0.460436\pi\)
\(618\) −50.2397 27.0084i −2.02094 1.08644i
\(619\) −19.1120 + 11.0343i −0.768175 + 0.443506i −0.832223 0.554441i \(-0.812932\pi\)
0.0640481 + 0.997947i \(0.479599\pi\)
\(620\) 7.44842 + 11.2636i 0.299136 + 0.452357i
\(621\) 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
\(626\) 29.9695 18.5370i 1.19782 0.740888i
\(627\) 5.39545 + 9.34520i 0.215474 + 0.373211i
\(628\) 5.07797 10.1741i 0.202633 0.405992i
\(629\) −1.62702 −0.0648735
\(630\) 7.09543 2.97296i 0.282689 0.118446i
\(631\) 31.8382i 1.26746i 0.773555 + 0.633729i \(0.218477\pi\)
−0.773555 + 0.633729i \(0.781523\pi\)
\(632\) 23.4165 + 10.8130i 0.931458 + 0.430119i
\(633\) 53.0550 30.6313i 2.10875 1.21749i
\(634\) −28.1036 + 17.3828i −1.11613 + 0.690361i
\(635\) −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
\(640\) 7.59465 + 8.38578i 0.300205 + 0.331477i
\(641\) −3.82910 6.63219i −0.151240 0.261956i 0.780443 0.625226i \(-0.214993\pi\)
−0.931684 + 0.363271i \(0.881660\pi\)
\(642\) 42.4560 + 22.8239i 1.67560 + 0.900788i
\(643\) 15.5274i 0.612340i −0.951977 0.306170i \(-0.900952\pi\)
0.951977 0.306170i \(-0.0990476\pi\)
\(644\) 14.5489 + 31.9667i 0.573306 + 1.25967i
\(645\) 11.2871i 0.444428i
\(646\) −0.885788 + 1.64770i −0.0348509 + 0.0648280i
\(647\) −6.28748 10.8902i −0.247186 0.428139i 0.715558 0.698554i \(-0.246173\pi\)
−0.962744 + 0.270414i \(0.912839\pi\)
\(648\) −17.8440 25.2824i −0.700978 0.993187i
\(649\) −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 \(-0.941444\pi\)
−0.649979 0.759952i \(-0.725222\pi\)
\(654\) 25.5980 + 41.3853i 1.00096 + 1.61829i
\(655\) 8.38219 4.83946i 0.327519 0.189093i
\(656\) 15.0135 + 6.38774i 0.586179 + 0.249399i
\(657\) 18.5964i 0.725515i
\(658\) −37.1220 28.2450i −1.44716 1.10111i
\(659\) 21.0948 0.821736 0.410868 0.911695i \(-0.365226\pi\)
0.410868 + 0.911695i \(0.365226\pi\)
\(660\) 5.28553 + 2.63804i 0.205739 + 0.102686i
\(661\) −10.4693 18.1334i −0.407210 0.705308i 0.587366 0.809321i \(-0.300165\pi\)
−0.994576 + 0.104013i \(0.966832\pi\)
\(662\) −3.33523 5.39219i −0.129627 0.209574i
\(663\) 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
\(668\) −6.42447 9.71518i −0.248570 0.375891i
\(669\) 30.2993 17.4933i 1.17144 0.676330i
\(670\) 1.20195 2.23580i 0.0464352 0.0863767i
\(671\) 13.2597 0.511885
\(672\) 33.6530 + 0.184767i 1.29819 + 0.00712755i
\(673\) −6.93060 −0.267155 −0.133578 0.991038i \(-0.542647\pi\)
−0.133578 + 0.991038i \(0.542647\pi\)
\(674\) 15.1062 28.0998i 0.581868 1.08236i
\(675\) 1.83814 1.06125i 0.0707502 0.0408476i
\(676\) 4.25072 + 6.42800i 0.163489 + 0.247231i
\(677\) −6.87785 + 11.9128i −0.264337 + 0.457845i −0.967390 0.253293i \(-0.918486\pi\)
0.703053 + 0.711138i \(0.251820\pi\)
\(678\) 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
\(682\) 6.59785 + 10.6670i 0.252645 + 0.408461i
\(683\) 2.06581 + 3.57808i 0.0790459 + 0.136912i 0.902839 0.429980i \(-0.141479\pi\)
−0.823793 + 0.566891i \(0.808146\pi\)
\(684\) −13.4421 6.70902i −0.513970 0.256526i
\(685\) 21.8997 0.836743
\(686\) −14.9196 21.5268i −0.569634 0.821899i
\(687\) 9.67899i 0.369276i
\(688\) 7.86089 18.4759i 0.299694 0.704389i
\(689\) 7.24759 4.18440i 0.276111 0.159413i
\(690\) −11.1028 17.9504i −0.422678 0.683360i
\(691\) −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
\(696\) −12.3023 17.4306i −0.466318 0.660707i
\(697\) 0.738435 + 1.27901i 0.0279702 + 0.0484458i
\(698\) 9.97480 18.5547i 0.377552 0.702304i
\(699\) 9.00000i 0.340411i
\(700\) −0.509787 + 5.26689i −0.0192681 + 0.199070i
\(701\) 0.155387i 0.00586887i 0.999996 + 0.00293444i \(0.000934061\pi\)
−0.999996 + 0.00293444i \(0.999066\pi\)
\(702\) −7.99599 4.29856i −0.301789 0.162239i
\(703\) 8.20863 + 14.2178i 0.309594 + 0.536233i
\(704\) 6.81468 + 7.99934i 0.256838 + 0.301487i
\(705\) 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 0.126874 0.991919i \(-0.459506\pi\)
−0.795590 + 0.605835i \(0.792839\pi\)
\(710\) −15.0234 + 9.29242i −0.563819 + 0.348738i
\(711\) −16.2374 + 9.37465i −0.608949 + 0.351577i
\(712\) 5.92561 + 2.73627i 0.222072 + 0.102546i
\(713\) 44.8144i 1.67831i
\(714\) 2.42427 + 1.84456i 0.0907260 + 0.0690308i
\(715\) 3.97271 0.148571
\(716\) 0.573567 1.14919i 0.0214352 0.0429472i
\(717\) 16.3636 + 28.3426i 0.611110 + 1.05847i
\(718\) −6.64842 + 4.11224i −0.248117 + 0.153467i
\(719\) 11.0943 19.2160i 0.413749 0.716634i −0.581547 0.813513i \(-0.697552\pi\)
0.995296 + 0.0968783i \(0.0308858\pi\)
\(720\) −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
\(724\) 16.9837 + 25.6830i 0.631194 + 0.954500i
\(725\) 2.90515 1.67729i 0.107894 0.0622929i
\(726\) −25.9769 13.9649i −0.964092 0.518286i
\(727\) −30.9326 −1.14723 −0.573613 0.819127i \(-0.694458\pi\)
−0.573613 + 0.819127i \(0.694458\pi\)
\(728\) 20.3054 9.99567i 0.752568 0.370464i
\(729\) 8.17716 0.302858
\(730\) 11.2663 + 6.05664i 0.416984 + 0.224166i
\(731\) 1.57397 0.908734i 0.0582155 0.0336107i
\(732\) −37.8656 + 25.0398i −1.39955 + 0.925499i
\(733\) 19.5494 33.8606i 0.722074 1.25067i −0.238093 0.971242i \(-0.576522\pi\)
0.960167 0.279426i \(-0.0901443\pi\)
\(734\) 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
\(738\) −10.0869 + 6.23903i −0.371304 + 0.229662i
\(739\) −13.5525 23.4737i −0.498538 0.863494i 0.501460 0.865181i \(-0.332796\pi\)
−0.999999 + 0.00168689i \(0.999463\pi\)
\(740\) 8.04140 + 4.01351i 0.295608 + 0.147540i
\(741\) −24.8451 −0.912708
\(742\) 4.00111 + 9.54925i 0.146885 + 0.350564i
\(743\) 2.76625i 0.101484i −0.998712 0.0507419i \(-0.983841\pi\)
0.998712 0.0507419i \(-0.0161586\pi\)
\(744\) −38.9852 18.0022i −1.42927 0.659993i
\(745\) −10.3555 + 5.97873i −0.379395 + 0.219044i
\(746\) 14.2359 8.80534i 0.521215 0.322386i
\(747\) 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 −0.123860 0.992300i \(-0.539527\pi\)
−0.921287 + 0.388884i \(0.872861\pi\)
\(752\) 29.9769 + 39.8502i 1.09314 + 1.45319i
\(753\) 12.1575 + 21.0574i 0.443045 + 0.767376i
\(754\) −12.6375 6.79379i −0.460230 0.247415i
\(755\) 15.1238i 0.550410i
\(756\) 6.52656 9.14029i 0.237369 0.332429i
\(757\) 28.5714i 1.03845i 0.854639 + 0.519223i \(0.173779\pi\)
−0.854639 + 0.519223i \(0.826221\pi\)
\(758\) −8.72428 + 16.2285i −0.316880 + 0.589446i
\(759\) −9.80226 16.9780i −0.355799 0.616263i
\(760\) 8.44246 5.95857i 0.306240 0.216140i
\(761\) 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
\(766\) 20.4467 + 33.0570i 0.738768 + 1.19440i
\(767\) 34.8675 20.1307i 1.25899 0.726879i
\(768\) −34.5667 9.97470i −1.24732 0.359931i
\(769\) 4.34684i 0.156751i −0.996924 0.0783755i \(-0.975027\pi\)
0.996924 0.0783755i \(-0.0249733\pi\)
\(770\) −0.621658 + 4.87544i −0.0224030 + 0.175699i
\(771\) −6.97967 −0.251367
\(772\) −1.46702 + 2.93930i −0.0527993 + 0.105788i
\(773\) −8.02006 13.8911i −0.288461 0.499630i 0.684981 0.728561i \(-0.259810\pi\)
−0.973443 + 0.228931i \(0.926477\pi\)