Properties

Label 441.2.z.a.142.29
Level $441$
Weight $2$
Character 441.142
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.z (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 142.29
Character \(\chi\) \(=\) 441.142
Dual form 441.2.z.a.382.29

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0182644 - 0.0465369i) q^{2} +(0.00478463 - 1.73204i) q^{3} +(1.46427 + 1.35865i) q^{4} +(3.32215 - 1.59986i) q^{5} +(-0.0805165 - 0.0318574i) q^{6} +(1.96730 - 1.76910i) q^{7} +(0.180055 - 0.0867098i) q^{8} +(-2.99995 - 0.0165744i) q^{9} +O(q^{10})\) \(q+(0.0182644 - 0.0465369i) q^{2} +(0.00478463 - 1.73204i) q^{3} +(1.46427 + 1.35865i) q^{4} +(3.32215 - 1.59986i) q^{5} +(-0.0805165 - 0.0318574i) q^{6} +(1.96730 - 1.76910i) q^{7} +(0.180055 - 0.0867098i) q^{8} +(-2.99995 - 0.0165744i) q^{9} +(-0.0137756 - 0.183823i) q^{10} +(-0.0359099 - 0.0450296i) q^{11} +(2.36024 - 2.52968i) q^{12} +(-0.421672 + 1.07440i) q^{13} +(-0.0463968 - 0.123864i) q^{14} +(-2.75514 - 5.76176i) q^{15} +(0.297800 + 3.97387i) q^{16} +(-4.28017 + 3.97141i) q^{17} +(-0.0555636 + 0.139306i) q^{18} +(-3.80751 + 6.59480i) q^{19} +(7.03817 + 2.17099i) q^{20} +(-3.05475 - 3.41592i) q^{21} +(-0.00275141 + 0.000848697i) q^{22} +(1.40452 - 6.15361i) q^{23} +(-0.149324 - 0.312278i) q^{24} +(5.35965 - 6.72079i) q^{25} +(0.0422978 + 0.0392466i) q^{26} +(-0.0430612 + 5.19597i) q^{27} +(5.28425 + 0.0824266i) q^{28} +(-3.42656 - 1.05695i) q^{29} +(-0.318455 + 0.0229804i) q^{30} +(-3.17832 + 5.50502i) q^{31} +(0.572305 + 0.176533i) q^{32} +(-0.0781650 + 0.0619821i) q^{33} +(0.106643 + 0.271721i) q^{34} +(3.70536 - 9.02462i) q^{35} +(-4.37023 - 4.10014i) q^{36} +(-7.11067 - 2.19335i) q^{37} +(0.237360 + 0.297639i) q^{38} +(1.85889 + 0.735495i) q^{39} +(0.459445 - 0.576126i) q^{40} +(1.99416 + 1.35959i) q^{41} +(-0.214759 + 0.0797687i) q^{42} +(5.78265 - 3.94254i) q^{43} +(0.00859740 - 0.114724i) q^{44} +(-9.99280 + 4.74445i) q^{45} +(-0.260717 - 0.177754i) q^{46} +(3.09216 - 7.87870i) q^{47} +(6.88434 - 0.496790i) q^{48} +(0.740572 - 6.96071i) q^{49} +(-0.214874 - 0.372172i) q^{50} +(6.85819 + 7.43244i) q^{51} +(-2.07717 + 1.00031i) q^{52} +(0.957518 - 0.295355i) q^{53} +(0.241018 + 0.0969052i) q^{54} +(-0.191339 - 0.0921440i) q^{55} +(0.200824 - 0.489120i) q^{56} +(11.4043 + 6.62633i) q^{57} +(-0.111771 + 0.140157i) q^{58} +(9.58384 - 6.53415i) q^{59} +(3.79392 - 12.1800i) q^{60} +(-8.17217 + 7.58267i) q^{61} +(0.198136 + 0.248455i) q^{62} +(-5.93114 + 5.27461i) q^{63} +(-4.95056 + 6.20780i) q^{64} +(0.318039 + 4.24394i) q^{65} +(0.00145682 + 0.00476962i) q^{66} +(-2.65785 + 4.60354i) q^{67} -11.6631 q^{68} +(-10.6516 - 2.46213i) q^{69} +(-0.352302 - 0.337265i) q^{70} +(-0.721728 + 3.16210i) q^{71} +(-0.541593 + 0.257141i) q^{72} +(-0.401247 - 0.0604783i) q^{73} +(-0.231944 + 0.290848i) q^{74} +(-11.6151 - 9.31531i) q^{75} +(-14.5352 + 4.48352i) q^{76} +(-0.150307 - 0.0250587i) q^{77} +(0.0681792 - 0.0730738i) q^{78} +(-1.71988 - 2.97892i) q^{79} +(7.34697 + 12.7253i) q^{80} +(8.99945 + 0.0994447i) q^{81} +(0.0996934 - 0.0679698i) q^{82} +(4.73946 + 12.0759i) q^{83} +(0.168050 - 9.15216i) q^{84} +(-7.86563 + 20.0413i) q^{85} +(-0.0778571 - 0.341114i) q^{86} +(-1.84709 + 5.92990i) q^{87} +(-0.0103703 - 0.00499405i) q^{88} +(-0.656784 - 1.67346i) q^{89} +(0.0382795 + 0.551688i) q^{90} +(1.07117 + 2.85966i) q^{91} +(10.4172 - 7.10231i) q^{92} +(9.51973 + 5.53134i) q^{93} +(-0.310174 - 0.287799i) q^{94} +(-2.09834 + 28.0004i) q^{95} +(0.308501 - 0.990413i) q^{96} +(-3.04340 + 5.27133i) q^{97} +(-0.310404 - 0.161597i) q^{98} +(0.106982 + 0.135682i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 8q^{2} - 13q^{3} + 44q^{4} + 3q^{5} + 2q^{6} - 7q^{7} - 16q^{8} - 39q^{9} + O(q^{10}) \) \( 648q - 8q^{2} - 13q^{3} + 44q^{4} + 3q^{5} + 2q^{6} - 7q^{7} - 16q^{8} - 39q^{9} - 22q^{10} - 5q^{11} + 2q^{12} - 4q^{13} + 52q^{14} - 4q^{15} + 38q^{16} - 37q^{17} - 16q^{18} - 14q^{19} - 11q^{20} - 6q^{21} - q^{22} - 20q^{23} - 26q^{24} - 97q^{25} - 44q^{26} + 14q^{27} - 22q^{28} - 53q^{29} - 9q^{30} + 10q^{31} - 10q^{32} + 2q^{33} - 7q^{34} - 32q^{35} - 22q^{36} - 39q^{37} + 59q^{38} - 26q^{39} - 19q^{40} - 17q^{41} - 83q^{42} - q^{43} - 31q^{44} + 81q^{45} + 56q^{46} + 50q^{47} - 23q^{48} - 19q^{49} - 21q^{50} - 30q^{51} - 9q^{52} + 50q^{53} + 48q^{54} + 20q^{55} - 239q^{56} + 33q^{57} + 17q^{58} - 37q^{59} - 152q^{60} - 105q^{61} - 30q^{62} + 6q^{63} - 88q^{64} - 5q^{65} - 99q^{66} + 13q^{67} - 290q^{68} + 64q^{69} + 17q^{70} - 19q^{71} + 11q^{72} - 40q^{73} - 57q^{74} + 69q^{75} - 41q^{76} + 19q^{77} + 81q^{78} + 13q^{79} + 163q^{80} - 179q^{81} - 28q^{82} + 73q^{83} - 341q^{84} - 10q^{85} + 15q^{86} + 13q^{87} - 13q^{88} - 104q^{89} + 171q^{90} - 49q^{91} - 91q^{92} - 275q^{93} - 4q^{94} - 29q^{95} + 231q^{96} - 11q^{97} - 33q^{98} + 62q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{4}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0182644 0.0465369i 0.0129149 0.0329065i −0.924271 0.381737i \(-0.875326\pi\)
0.937186 + 0.348831i \(0.113421\pi\)
\(3\) 0.00478463 1.73204i 0.00276240 0.999996i
\(4\) 1.46427 + 1.35865i 0.732136 + 0.679323i
\(5\) 3.32215 1.59986i 1.48571 0.715480i 0.497340 0.867556i \(-0.334310\pi\)
0.988369 + 0.152076i \(0.0485958\pi\)
\(6\) −0.0805165 0.0318574i −0.0328707 0.0130057i
\(7\) 1.96730 1.76910i 0.743571 0.668657i
\(8\) 0.180055 0.0867098i 0.0636590 0.0306566i
\(9\) −2.99995 0.0165744i −0.999985 0.00552479i
\(10\) −0.0137756 0.183823i −0.00435623 0.0581299i
\(11\) −0.0359099 0.0450296i −0.0108272 0.0135769i 0.776388 0.630255i \(-0.217050\pi\)
−0.787216 + 0.616678i \(0.788478\pi\)
\(12\) 2.36024 2.52968i 0.681343 0.730256i
\(13\) −0.421672 + 1.07440i −0.116951 + 0.297986i −0.977348 0.211638i \(-0.932120\pi\)
0.860397 + 0.509624i \(0.170215\pi\)
\(14\) −0.0463968 0.123864i −0.0124001 0.0331040i
\(15\) −2.75514 5.76176i −0.711373 1.48768i
\(16\) 0.297800 + 3.97387i 0.0744501 + 0.993467i
\(17\) −4.28017 + 3.97141i −1.03809 + 0.963210i −0.999350 0.0360397i \(-0.988526\pi\)
−0.0387426 + 0.999249i \(0.512335\pi\)
\(18\) −0.0555636 + 0.139306i −0.0130965 + 0.0328347i
\(19\) −3.80751 + 6.59480i −0.873502 + 1.51295i −0.0151527 + 0.999885i \(0.504823\pi\)
−0.858350 + 0.513065i \(0.828510\pi\)
\(20\) 7.03817 + 2.17099i 1.57378 + 0.485448i
\(21\) −3.05475 3.41592i −0.666600 0.745415i
\(22\) −0.00275141 0.000848697i −0.000586602 0.000180943i
\(23\) 1.40452 6.15361i 0.292863 1.28312i −0.587659 0.809109i \(-0.699950\pi\)
0.880521 0.474007i \(-0.157193\pi\)
\(24\) −0.149324 0.312278i −0.0304806 0.0637434i
\(25\) 5.35965 6.72079i 1.07193 1.34416i
\(26\) 0.0422978 + 0.0392466i 0.00829527 + 0.00769689i
\(27\) −0.0430612 + 5.19597i −0.00828713 + 0.999966i
\(28\) 5.28425 + 0.0824266i 0.998629 + 0.0155772i
\(29\) −3.42656 1.05695i −0.636297 0.196272i −0.0402096 0.999191i \(-0.512803\pi\)
−0.596087 + 0.802920i \(0.703279\pi\)
\(30\) −0.318455 + 0.0229804i −0.0581417 + 0.00419564i
\(31\) −3.17832 + 5.50502i −0.570844 + 0.988730i 0.425636 + 0.904894i \(0.360050\pi\)
−0.996480 + 0.0838357i \(0.973283\pi\)
\(32\) 0.572305 + 0.176533i 0.101170 + 0.0312069i
\(33\) −0.0781650 + 0.0619821i −0.0136068 + 0.0107897i
\(34\) 0.106643 + 0.271721i 0.0182891 + 0.0465998i
\(35\) 3.70536 9.02462i 0.626320 1.52544i
\(36\) −4.37023 4.10014i −0.728372 0.683357i
\(37\) −7.11067 2.19335i −1.16899 0.360585i −0.351309 0.936260i \(-0.614263\pi\)
−0.817679 + 0.575675i \(0.804739\pi\)
\(38\) 0.237360 + 0.297639i 0.0385048 + 0.0482835i
\(39\) 1.85889 + 0.735495i 0.297661 + 0.117773i
\(40\) 0.459445 0.576126i 0.0726446 0.0910934i
\(41\) 1.99416 + 1.35959i 0.311435 + 0.212333i 0.708943 0.705266i \(-0.249172\pi\)
−0.397508 + 0.917599i \(0.630125\pi\)
\(42\) −0.214759 + 0.0797687i −0.0331381 + 0.0123086i
\(43\) 5.78265 3.94254i 0.881845 0.601232i −0.0354801 0.999370i \(-0.511296\pi\)
0.917325 + 0.398138i \(0.130344\pi\)
\(44\) 0.00859740 0.114724i 0.00129611 0.0172953i
\(45\) −9.99280 + 4.74445i −1.48964 + 0.707261i
\(46\) −0.260717 0.177754i −0.0384406 0.0262084i
\(47\) 3.09216 7.87870i 0.451038 1.14923i −0.506837 0.862042i \(-0.669185\pi\)
0.957875 0.287185i \(-0.0927193\pi\)
\(48\) 6.88434 0.496790i 0.993669 0.0717054i
\(49\) 0.740572 6.96071i 0.105796 0.994388i
\(50\) −0.214874 0.372172i −0.0303877 0.0526331i
\(51\) 6.85819 + 7.43244i 0.960338 + 1.04075i
\(52\) −2.07717 + 1.00031i −0.288052 + 0.138719i
\(53\) 0.957518 0.295355i 0.131525 0.0405702i −0.228294 0.973592i \(-0.573315\pi\)
0.359819 + 0.933022i \(0.382838\pi\)
\(54\) 0.241018 + 0.0969052i 0.0327984 + 0.0131871i
\(55\) −0.191339 0.0921440i −0.0258001 0.0124247i
\(56\) 0.200824 0.489120i 0.0268363 0.0653614i
\(57\) 11.4043 + 6.62633i 1.51053 + 0.877678i
\(58\) −0.111771 + 0.140157i −0.0146763 + 0.0184035i
\(59\) 9.58384 6.53415i 1.24771 0.850674i 0.254507 0.967071i \(-0.418087\pi\)
0.993203 + 0.116396i \(0.0371343\pi\)
\(60\) 3.79392 12.1800i 0.489793 1.57244i
\(61\) −8.17217 + 7.58267i −1.04634 + 0.970861i −0.999607 0.0280464i \(-0.991071\pi\)
−0.0467327 + 0.998907i \(0.514881\pi\)
\(62\) 0.198136 + 0.248455i 0.0251633 + 0.0315538i
\(63\) −5.93114 + 5.27461i −0.747254 + 0.664539i
\(64\) −4.95056 + 6.20780i −0.618820 + 0.775976i
\(65\) 0.318039 + 4.24394i 0.0394479 + 0.526396i
\(66\) 0.00145682 + 0.00476962i 0.000179322 + 0.000587100i
\(67\) −2.65785 + 4.60354i −0.324708 + 0.562412i −0.981453 0.191701i \(-0.938600\pi\)
0.656745 + 0.754113i \(0.271933\pi\)
\(68\) −11.6631 −1.41436
\(69\) −10.6516 2.46213i −1.28230 0.296406i
\(70\) −0.352302 0.337265i −0.0421081 0.0403109i
\(71\) −0.721728 + 3.16210i −0.0856534 + 0.375272i −0.999528 0.0307249i \(-0.990218\pi\)
0.913875 + 0.405997i \(0.133076\pi\)
\(72\) −0.541593 + 0.257141i −0.0638274 + 0.0303044i
\(73\) −0.401247 0.0604783i −0.0469624 0.00707845i 0.125519 0.992091i \(-0.459940\pi\)
−0.172481 + 0.985013i \(0.555178\pi\)
\(74\) −0.231944 + 0.290848i −0.0269629 + 0.0338104i
\(75\) −11.6151 9.31531i −1.34119 1.07564i
\(76\) −14.5352 + 4.48352i −1.66730 + 0.514295i
\(77\) −0.150307 0.0250587i −0.0171291 0.00285570i
\(78\) 0.0681792 0.0730738i 0.00771977 0.00827398i
\(79\) −1.71988 2.97892i −0.193502 0.335155i 0.752906 0.658128i \(-0.228651\pi\)
−0.946408 + 0.322972i \(0.895318\pi\)
\(80\) 7.34697 + 12.7253i 0.821417 + 1.42274i
\(81\) 8.99945 + 0.0994447i 0.999939 + 0.0110494i
\(82\) 0.0996934 0.0679698i 0.0110093 0.00750601i
\(83\) 4.73946 + 12.0759i 0.520223 + 1.32551i 0.913781 + 0.406208i \(0.133149\pi\)
−0.393557 + 0.919300i \(0.628756\pi\)
\(84\) 0.168050 9.15216i 0.0183357 0.998582i
\(85\) −7.86563 + 20.0413i −0.853147 + 2.17378i
\(86\) −0.0778571 0.341114i −0.00839555 0.0367833i
\(87\) −1.84709 + 5.92990i −0.198029 + 0.635752i
\(88\) −0.0103703 0.00499405i −0.00110547 0.000532368i
\(89\) −0.656784 1.67346i −0.0696190 0.177386i 0.891829 0.452372i \(-0.149422\pi\)
−0.961448 + 0.274986i \(0.911327\pi\)
\(90\) 0.0382795 + 0.551688i 0.00403501 + 0.0581530i
\(91\) 1.07117 + 2.85966i 0.112289 + 0.299773i
\(92\) 10.4172 7.10231i 1.08606 0.740467i
\(93\) 9.51973 + 5.53134i 0.987150 + 0.573573i
\(94\) −0.310174 0.287799i −0.0319920 0.0296842i
\(95\) −2.09834 + 28.0004i −0.215285 + 2.87278i
\(96\) 0.308501 0.990413i 0.0314862 0.101084i
\(97\) −3.04340 + 5.27133i −0.309011 + 0.535222i −0.978146 0.207918i \(-0.933331\pi\)
0.669136 + 0.743140i \(0.266665\pi\)
\(98\) −0.310404 0.161597i −0.0313555 0.0163238i
\(99\) 0.106982 + 0.135682i 0.0107521 + 0.0136365i
\(100\) 16.9792 2.55920i 1.69792 0.255920i
\(101\) 3.21834 1.54987i 0.320237 0.154218i −0.266859 0.963736i \(-0.585986\pi\)
0.587095 + 0.809518i \(0.300271\pi\)
\(102\) 0.471143 0.183410i 0.0466501 0.0181603i
\(103\) 13.5000 6.50125i 1.33019 0.640588i 0.372408 0.928069i \(-0.378532\pi\)
0.957786 + 0.287482i \(0.0928180\pi\)
\(104\) 0.0172372 + 0.230014i 0.00169025 + 0.0225548i
\(105\) −15.6133 6.46102i −1.52370 0.630531i
\(106\) 0.00374356 0.0499544i 0.000363607 0.00485200i
\(107\) −6.08686 15.5091i −0.588439 1.49932i −0.846068 0.533075i \(-0.821037\pi\)
0.257629 0.966244i \(-0.417059\pi\)
\(108\) −7.12254 + 7.54981i −0.685367 + 0.726481i
\(109\) 0.764226 1.94722i 0.0731996 0.186510i −0.889591 0.456758i \(-0.849011\pi\)
0.962791 + 0.270248i \(0.0871058\pi\)
\(110\) −0.00778278 + 0.00722137i −0.000742059 + 0.000688530i
\(111\) −3.83300 + 12.3055i −0.363813 + 1.16799i
\(112\) 7.61603 + 7.29097i 0.719647 + 0.688932i
\(113\) −15.7159 2.36879i −1.47843 0.222837i −0.640220 0.768191i \(-0.721157\pi\)
−0.838206 + 0.545354i \(0.816395\pi\)
\(114\) 0.516660 0.409693i 0.0483897 0.0383713i
\(115\) −5.17889 22.6902i −0.482934 2.11587i
\(116\) −3.58139 6.20315i −0.332524 0.575948i
\(117\) 1.28280 3.21617i 0.118595 0.297335i
\(118\) −0.129036 0.565345i −0.0118787 0.0520442i
\(119\) −1.39456 + 15.3850i −0.127839 + 1.41034i
\(120\) −0.995677 0.798535i −0.0908924 0.0728960i
\(121\) 2.44699 10.7210i 0.222454 0.974634i
\(122\) 0.203614 + 0.518800i 0.0184343 + 0.0469700i
\(123\) 2.36442 3.44747i 0.213193 0.310848i
\(124\) −12.1333 + 3.74263i −1.08960 + 0.336098i
\(125\) 2.95070 12.9279i 0.263919 1.15630i
\(126\) 0.137135 + 0.372354i 0.0122170 + 0.0331720i
\(127\) 2.91698 + 12.7801i 0.258840 + 1.13405i 0.922494 + 0.386012i \(0.126148\pi\)
−0.663654 + 0.748040i \(0.730995\pi\)
\(128\) 0.797386 + 1.38111i 0.0704796 + 0.122074i
\(129\) −6.80099 10.0347i −0.598794 0.883503i
\(130\) 0.203308 + 0.0627123i 0.0178313 + 0.00550024i
\(131\) −2.96297 1.42689i −0.258876 0.124668i 0.299945 0.953957i \(-0.403032\pi\)
−0.558821 + 0.829288i \(0.688746\pi\)
\(132\) −0.198666 0.0154400i −0.0172917 0.00134388i
\(133\) 4.17633 + 19.7098i 0.362134 + 1.70906i
\(134\) 0.165690 + 0.207769i 0.0143135 + 0.0179485i
\(135\) 8.16978 + 17.3307i 0.703143 + 1.49159i
\(136\) −0.426304 + 1.08621i −0.0365553 + 0.0931413i
\(137\) 4.79568 + 2.30948i 0.409723 + 0.197312i 0.627380 0.778713i \(-0.284127\pi\)
−0.217657 + 0.976025i \(0.569842\pi\)
\(138\) −0.309125 + 0.450723i −0.0263145 + 0.0383681i
\(139\) 8.64950 + 5.89713i 0.733641 + 0.500188i 0.871580 0.490253i \(-0.163095\pi\)
−0.137939 + 0.990441i \(0.544048\pi\)
\(140\) 17.6869 8.18023i 1.49482 0.691356i
\(141\) −13.6315 5.39346i −1.14798 0.454211i
\(142\) 0.133972 + 0.0913407i 0.0112427 + 0.00766514i
\(143\) 0.0635221 0.0195940i 0.00531198 0.00163853i
\(144\) −0.827523 11.9264i −0.0689602 0.993863i
\(145\) −13.0745 + 1.97067i −1.08578 + 0.163655i
\(146\) −0.0101430 + 0.0175682i −0.000839441 + 0.00145395i
\(147\) −12.0527 1.31601i −0.994092 0.108543i
\(148\) −7.43197 12.8725i −0.610904 1.05812i
\(149\) −11.3252 14.2013i −0.927794 1.16342i −0.986272 0.165128i \(-0.947196\pi\)
0.0584783 0.998289i \(-0.481375\pi\)
\(150\) −0.645647 + 0.370390i −0.0527169 + 0.0302422i
\(151\) −1.00861 + 4.41902i −0.0820796 + 0.359614i −0.999243 0.0388965i \(-0.987616\pi\)
0.917164 + 0.398511i \(0.130473\pi\)
\(152\) −0.113726 + 1.51757i −0.00922443 + 0.123091i
\(153\) 12.9061 11.8431i 1.04340 0.957460i
\(154\) −0.00391143 + 0.00653716i −0.000315192 + 0.000526779i
\(155\) −1.75159 + 23.3733i −0.140691 + 1.87739i
\(156\) 1.72265 + 3.60254i 0.137922 + 0.288434i
\(157\) −1.63595 + 1.11537i −0.130563 + 0.0890166i −0.626841 0.779147i \(-0.715652\pi\)
0.496277 + 0.868164i \(0.334700\pi\)
\(158\) −0.170042 + 0.0256298i −0.0135279 + 0.00203900i
\(159\) −0.506987 1.65988i −0.0402067 0.131637i
\(160\) 2.18371 0.329141i 0.172637 0.0260209i
\(161\) −8.12322 14.5908i −0.640200 1.14991i
\(162\) 0.168997 0.416990i 0.0132777 0.0327618i
\(163\) 14.5238 9.90215i 1.13759 0.775596i 0.160210 0.987083i \(-0.448783\pi\)
0.977381 + 0.211487i \(0.0678306\pi\)
\(164\) 1.07278 + 4.70017i 0.0837703 + 0.367022i
\(165\) −0.160513 + 0.330967i −0.0124959 + 0.0257657i
\(166\) 0.648540 0.0503365
\(167\) −4.92005 + 4.56514i −0.380725 + 0.353261i −0.847201 0.531273i \(-0.821714\pi\)
0.466476 + 0.884534i \(0.345523\pi\)
\(168\) −0.846216 0.350177i −0.0652870 0.0270167i
\(169\) 8.55314 + 7.93616i 0.657934 + 0.610473i
\(170\) 0.788998 + 0.732084i 0.0605134 + 0.0561482i
\(171\) 11.5317 19.7210i 0.881848 1.50810i
\(172\) 13.8239 + 2.08361i 1.05406 + 0.158874i
\(173\) −2.97350 + 0.917203i −0.226071 + 0.0697336i −0.405721 0.913997i \(-0.632980\pi\)
0.179650 + 0.983731i \(0.442503\pi\)
\(174\) 0.242223 + 0.194264i 0.0183629 + 0.0147271i
\(175\) −1.34568 22.7036i −0.101724 1.71623i
\(176\) 0.168248 0.156111i 0.0126821 0.0117673i
\(177\) −11.2716 16.6309i −0.847225 1.25006i
\(178\) −0.0898734 −0.00673629
\(179\) −0.789290 + 0.732354i −0.0589943 + 0.0547387i −0.709119 0.705089i \(-0.750907\pi\)
0.650125 + 0.759828i \(0.274717\pi\)
\(180\) −21.0782 6.62952i −1.57108 0.494135i
\(181\) 3.25239 4.07837i 0.241748 0.303143i −0.646124 0.763232i \(-0.723611\pi\)
0.887873 + 0.460090i \(0.152183\pi\)
\(182\) 0.152644 + 0.00238102i 0.0113147 + 0.000176493i
\(183\) 13.0944 + 14.1908i 0.967967 + 1.04902i
\(184\) −0.280688 1.22977i −0.0206926 0.0906600i
\(185\) −27.1317 + 4.08945i −1.99477 + 0.300663i
\(186\) 0.431283 0.341992i 0.0316232 0.0250761i
\(187\) 0.332531 + 0.0501211i 0.0243171 + 0.00366521i
\(188\) 15.2321 7.33540i 1.11092 0.534989i
\(189\) 9.10748 + 10.2982i 0.662472 + 0.749087i
\(190\) 1.26472 + 0.609059i 0.0917528 + 0.0441858i
\(191\) −5.35544 3.65128i −0.387506 0.264197i 0.353859 0.935299i \(-0.384869\pi\)
−0.741366 + 0.671101i \(0.765822\pi\)
\(192\) 10.7285 + 8.60429i 0.774263 + 0.620961i
\(193\) 0.785321 10.4794i 0.0565286 0.754322i −0.894863 0.446340i \(-0.852727\pi\)
0.951392 0.307982i \(-0.0996537\pi\)
\(194\) 0.189725 + 0.237908i 0.0136215 + 0.0170808i
\(195\) 7.35221 0.530552i 0.526503 0.0379936i
\(196\) 10.5415 9.18620i 0.752967 0.656157i
\(197\) 0.0871450 0.00620882 0.00310441 0.999995i \(-0.499012\pi\)
0.00310441 + 0.999995i \(0.499012\pi\)
\(198\) 0.00826816 0.00250045i 0.000587593 0.000177699i
\(199\) −8.19565 5.58770i −0.580974 0.396102i 0.236870 0.971541i \(-0.423879\pi\)
−0.817844 + 0.575440i \(0.804831\pi\)
\(200\) 0.382272 1.67484i 0.0270307 0.118429i
\(201\) 7.96081 + 4.62555i 0.561512 + 0.326261i
\(202\) −0.0133452 0.178079i −0.000938962 0.0125296i
\(203\) −8.61095 + 3.98258i −0.604370 + 0.279522i
\(204\) −0.0558034 + 20.2010i −0.00390702 + 1.41435i
\(205\) 8.80005 + 1.32639i 0.614622 + 0.0926394i
\(206\) −0.0559791 0.746989i −0.00390025 0.0520452i
\(207\) −4.31549 + 18.4373i −0.299947 + 1.28148i
\(208\) −4.39511 1.35571i −0.304746 0.0940016i
\(209\) 0.433688 0.0653680i 0.0299988 0.00452160i
\(210\) −0.585843 + 0.608588i −0.0404270 + 0.0419966i
\(211\) 13.8888 + 2.09340i 0.956143 + 0.144115i 0.608537 0.793525i \(-0.291757\pi\)
0.347606 + 0.937641i \(0.386995\pi\)
\(212\) 1.80335 + 0.868447i 0.123855 + 0.0596452i
\(213\) 5.47344 + 1.26519i 0.375034 + 0.0866897i
\(214\) −0.832917 −0.0569370
\(215\) 12.9033 22.3491i 0.879996 1.52420i
\(216\) 0.442789 + 0.939294i 0.0301280 + 0.0639109i
\(217\) 3.48620 + 16.4528i 0.236658 + 1.11689i
\(218\) −0.0766593 0.0711294i −0.00519202 0.00481749i
\(219\) −0.106671 + 0.694688i −0.00720815 + 0.0469427i
\(220\) −0.154981 0.394886i −0.0104488 0.0266232i
\(221\) −2.46207 6.27326i −0.165617 0.421985i
\(222\) 0.502652 + 0.403128i 0.0337358 + 0.0270562i
\(223\) 0.800124 + 0.742406i 0.0535803 + 0.0497152i 0.706508 0.707705i \(-0.250269\pi\)
−0.652928 + 0.757420i \(0.726460\pi\)
\(224\) 1.43820 0.665171i 0.0960939 0.0444436i
\(225\) −16.1901 + 20.0732i −1.07934 + 1.33821i
\(226\) −0.397277 + 0.688104i −0.0264265 + 0.0457720i
\(227\) −1.02235 −0.0678556 −0.0339278 0.999424i \(-0.510802\pi\)
−0.0339278 + 0.999424i \(0.510802\pi\)
\(228\) 7.69611 + 25.1971i 0.509687 + 1.66872i
\(229\) −12.2656 5.90680i −0.810533 0.390332i −0.0177547 0.999842i \(-0.505652\pi\)
−0.792778 + 0.609510i \(0.791366\pi\)
\(230\) −1.15052 0.173413i −0.0758631 0.0114345i
\(231\) −0.0441219 + 0.260219i −0.00290301 + 0.0171212i
\(232\) −0.708618 + 0.106807i −0.0465230 + 0.00701222i
\(233\) 13.0477 + 4.02469i 0.854785 + 0.263666i 0.691022 0.722834i \(-0.257161\pi\)
0.163762 + 0.986500i \(0.447637\pi\)
\(234\) −0.126241 0.118439i −0.00825262 0.00774260i
\(235\) −2.33221 31.1212i −0.152137 2.03012i
\(236\) 22.9110 + 3.45327i 1.49138 + 0.224789i
\(237\) −5.16786 + 2.96466i −0.335688 + 0.192575i
\(238\) 0.690500 + 0.345897i 0.0447585 + 0.0224211i
\(239\) −0.255322 3.40703i −0.0165154 0.220383i −0.999355 0.0359188i \(-0.988564\pi\)
0.982839 0.184464i \(-0.0590548\pi\)
\(240\) 22.0760 12.6644i 1.42500 0.817483i
\(241\) −0.454773 + 1.99249i −0.0292945 + 0.128347i −0.987461 0.157865i \(-0.949539\pi\)
0.958166 + 0.286212i \(0.0923962\pi\)
\(242\) −0.454228 0.309687i −0.0291989 0.0199075i
\(243\) 0.215302 15.5870i 0.0138116 0.999905i
\(244\) −22.2684 −1.42559
\(245\) −8.67589 24.3093i −0.554282 1.55307i
\(246\) −0.117250 0.172999i −0.00747557 0.0110300i
\(247\) −5.47995 6.87164i −0.348681 0.437232i
\(248\) −0.0949333 + 1.26680i −0.00602827 + 0.0804417i
\(249\) 20.9388 8.15118i 1.32694 0.516560i
\(250\) −0.547729 0.373436i −0.0346414 0.0236181i
\(251\) 24.6975 + 11.8937i 1.55889 + 0.750722i 0.997067 0.0765362i \(-0.0243861\pi\)
0.561823 + 0.827258i \(0.310100\pi\)
\(252\) −15.8511 0.334859i −0.998528 0.0210941i
\(253\) −0.327530 + 0.157730i −0.0205917 + 0.00991642i
\(254\) 0.648024 + 0.0976739i 0.0406606 + 0.00612860i
\(255\) 34.6748 + 13.7195i 2.17142 + 0.859149i
\(256\) −15.6240 + 2.35493i −0.976497 + 0.147183i
\(257\) 3.56965 + 15.6397i 0.222669 + 0.975576i 0.955460 + 0.295122i \(0.0953602\pi\)
−0.732791 + 0.680454i \(0.761783\pi\)
\(258\) −0.591198 + 0.133220i −0.0368064 + 0.00829391i
\(259\) −17.8691 + 8.26450i −1.11033 + 0.513531i
\(260\) −5.30031 + 6.64638i −0.328711 + 0.412191i
\(261\) 10.2620 + 3.22761i 0.635203 + 0.199784i
\(262\) −0.120520 + 0.111826i −0.00744575 + 0.00690865i
\(263\) 3.96728 0.244633 0.122317 0.992491i \(-0.460968\pi\)
0.122317 + 0.992491i \(0.460968\pi\)
\(264\) −0.00869954 + 0.0179378i −0.000535420 + 0.00110400i
\(265\) 2.70849 2.51311i 0.166381 0.154379i
\(266\) 0.993512 + 0.165635i 0.0609162 + 0.0101557i
\(267\) −2.90165 + 1.12957i −0.177578 + 0.0691287i
\(268\) −10.1464 + 3.12975i −0.619790 + 0.191180i
\(269\) −18.0239 2.71666i −1.09893 0.165638i −0.425553 0.904933i \(-0.639920\pi\)
−0.673381 + 0.739296i \(0.735159\pi\)
\(270\) 0.955732 0.0636621i 0.0581640 0.00387435i
\(271\) −1.84662 1.71341i −0.112174 0.104082i 0.622092 0.782944i \(-0.286283\pi\)
−0.734266 + 0.678862i \(0.762473\pi\)
\(272\) −17.0565 15.8261i −1.03420 0.959600i
\(273\) 4.95818 1.84163i 0.300082 0.111460i
\(274\) 0.195066 0.180995i 0.0117844 0.0109343i
\(275\) −0.495099 −0.0298556
\(276\) −12.2517 18.0770i −0.737464 1.08811i
\(277\) 4.51436 + 19.7787i 0.271242 + 1.18839i 0.908549 + 0.417778i \(0.137191\pi\)
−0.637308 + 0.770609i \(0.719952\pi\)
\(278\) 0.432412 0.294813i 0.0259343 0.0176817i
\(279\) 9.62607 16.4621i 0.576297 0.985561i
\(280\) −0.115356 1.94622i −0.00689383 0.116309i
\(281\) −1.14061 + 0.171920i −0.0680433 + 0.0102559i −0.182976 0.983117i \(-0.558573\pi\)
0.114932 + 0.993373i \(0.463335\pi\)
\(282\) −0.499965 + 0.535858i −0.0297725 + 0.0319099i
\(283\) 26.7412 4.03059i 1.58960 0.239594i 0.706130 0.708082i \(-0.250439\pi\)
0.883469 + 0.468489i \(0.155201\pi\)
\(284\) −5.35298 + 3.64960i −0.317641 + 0.216564i
\(285\) 48.4878 + 3.76838i 2.87217 + 0.223220i
\(286\) 0.000248349 0.00331399i 1.46852e−5 0.000195960i
\(287\) 6.32838 0.853130i 0.373552 0.0503587i
\(288\) −1.71396 0.539076i −0.100996 0.0317653i
\(289\) 1.27728 17.0442i 0.0751344 1.00260i
\(290\) −0.147089 + 0.644441i −0.00863739 + 0.0378429i
\(291\) 9.11561 + 5.29653i 0.534366 + 0.310488i
\(292\) −0.505366 0.633709i −0.0295743 0.0370850i
\(293\) 4.12819 + 7.15024i 0.241172 + 0.417721i 0.961048 0.276381i \(-0.0891350\pi\)
−0.719877 + 0.694102i \(0.755802\pi\)
\(294\) −0.281378 + 0.536860i −0.0164103 + 0.0313103i
\(295\) 21.3852 37.0402i 1.24509 2.15657i
\(296\) −1.47050 + 0.221642i −0.0854709 + 0.0128827i
\(297\) 0.235519 0.184648i 0.0136662 0.0107144i
\(298\) −0.867732 + 0.267660i −0.0502664 + 0.0155051i
\(299\) 6.01920 + 4.10382i 0.348099 + 0.237330i
\(300\) −4.35140 29.4209i −0.251228 1.69862i
\(301\) 4.40148 17.9863i 0.253697 1.03671i
\(302\) 0.187226 + 0.127648i 0.0107736 + 0.00734533i
\(303\) −2.66904 5.58172i −0.153333 0.320661i
\(304\) −27.3407 13.1666i −1.56810 0.755156i
\(305\) −15.0179 + 38.2651i −0.859924 + 2.19105i
\(306\) −0.315419 0.816918i −0.0180313 0.0467001i
\(307\) 7.02713 + 8.81174i 0.401060 + 0.502913i 0.940820 0.338906i \(-0.110057\pi\)
−0.539761 + 0.841818i \(0.681485\pi\)
\(308\) −0.186045 0.240907i −0.0106009 0.0137270i
\(309\) −11.1959 23.4137i −0.636911 1.33196i
\(310\) 1.05573 + 0.508413i 0.0599615 + 0.0288759i
\(311\) −32.6501 10.0712i −1.85142 0.571086i −0.998823 0.0485107i \(-0.984552\pi\)
−0.852593 0.522575i \(-0.824971\pi\)
\(312\) 0.398478 0.0287551i 0.0225594 0.00162793i
\(313\) 3.44657 + 5.96963i 0.194812 + 0.337423i 0.946839 0.321709i \(-0.104257\pi\)
−0.752027 + 0.659132i \(0.770924\pi\)
\(314\) 0.0220264 + 0.0965038i 0.00124302 + 0.00544602i
\(315\) −11.2655 + 27.0120i −0.634738 + 1.52196i
\(316\) 1.52893 6.69867i 0.0860089 0.376829i
\(317\) 6.66226 2.05504i 0.374190 0.115422i −0.101955 0.994789i \(-0.532510\pi\)
0.476145 + 0.879367i \(0.342034\pi\)
\(318\) −0.0865053 0.00672303i −0.00485098 0.000377009i
\(319\) 0.0754533 + 0.192252i 0.00422457 + 0.0107640i
\(320\) −6.51485 + 28.5434i −0.364191 + 1.59563i
\(321\) −26.8915 + 10.4685i −1.50094 + 0.584295i
\(322\) −0.827374 + 0.111538i −0.0461077 + 0.00621579i
\(323\) −9.89391 43.3480i −0.550512 2.41195i
\(324\) 13.0425 + 12.3727i 0.724585 + 0.687371i
\(325\) 4.96082 + 8.59239i 0.275177 + 0.476620i
\(326\) −0.195547 0.856748i −0.0108304 0.0474509i
\(327\) −3.36901 1.33299i −0.186307 0.0737145i
\(328\) 0.476948 + 0.0718884i 0.0263351 + 0.00396937i
\(329\) −7.85498 20.9701i −0.433059 1.15612i
\(330\) 0.0124705 + 0.0135147i 0.000686478 + 0.000743958i
\(331\) 15.4769 14.3605i 0.850688 0.789323i −0.128621 0.991694i \(-0.541055\pi\)
0.979309 + 0.202371i \(0.0648647\pi\)
\(332\) −9.46708 + 24.1217i −0.519573 + 1.32385i
\(333\) 21.2953 + 6.69781i 1.16698 + 0.367038i
\(334\) 0.122586 + 0.312343i 0.00670758 + 0.0170906i
\(335\) −1.46476 + 19.5458i −0.0800282 + 1.06790i
\(336\) 12.6647 13.1564i 0.690917 0.717742i
\(337\) −0.328199 4.37951i −0.0178781 0.238567i −0.998983 0.0450901i \(-0.985643\pi\)
0.981105 0.193477i \(-0.0619765\pi\)
\(338\) 0.525542 0.253088i 0.0285857 0.0137661i
\(339\) −4.17804 + 27.2093i −0.226920 + 1.47780i
\(340\) −38.7464 + 18.6593i −2.10132 + 1.01194i
\(341\) 0.362022 0.0545660i 0.0196046 0.00295491i
\(342\) −0.707135 0.896839i −0.0382375 0.0484955i
\(343\) −10.8573 15.0040i −0.586237 0.810139i
\(344\) 0.699336 1.21129i 0.0377057 0.0653082i
\(345\) −39.3252 + 8.86151i −2.11720 + 0.477088i
\(346\) −0.0116253 + 0.155129i −0.000624982 + 0.00833981i
\(347\) 11.4252 + 10.6011i 0.613338 + 0.569095i 0.924462 0.381275i \(-0.124515\pi\)
−0.311123 + 0.950370i \(0.600705\pi\)
\(348\) −10.7613 + 6.17345i −0.576865 + 0.330932i
\(349\) 17.5732 11.9812i 0.940670 0.641338i 0.00719231 0.999974i \(-0.497711\pi\)
0.933477 + 0.358636i \(0.116758\pi\)
\(350\) −1.08113 0.352043i −0.0577890 0.0188175i
\(351\) −5.56441 2.23726i −0.297006 0.119416i
\(352\) −0.0126022 0.0321099i −0.000671700 0.00171146i
\(353\) −25.0625 12.0695i −1.33394 0.642393i −0.375273 0.926914i \(-0.622451\pi\)
−0.958670 + 0.284521i \(0.908165\pi\)
\(354\) −0.979819 + 0.220791i −0.0520768 + 0.0117349i
\(355\) 2.66123 + 11.6596i 0.141243 + 0.618828i
\(356\) 1.31193 3.34274i 0.0695320 0.177165i
\(357\) 26.6409 + 2.48906i 1.40998 + 0.131735i
\(358\) 0.0196656 + 0.0501071i 0.00103936 + 0.00264824i
\(359\) −19.2710 + 13.1387i −1.01708 + 0.693436i −0.952520 0.304477i \(-0.901518\pi\)
−0.0645646 + 0.997914i \(0.520566\pi\)
\(360\) −1.38786 + 1.72074i −0.0731468 + 0.0906907i
\(361\) −19.4942 33.7650i −1.02601 1.77711i
\(362\) −0.130392 0.225845i −0.00685323 0.0118701i
\(363\) −18.5575 4.28959i −0.974016 0.225145i
\(364\) −2.31678 + 5.64265i −0.121432 + 0.295755i
\(365\) −1.42976 + 0.441022i −0.0748370 + 0.0230842i
\(366\) 0.899559 0.350186i 0.0470207 0.0183045i
\(367\) 1.59656 2.00203i 0.0833399 0.104505i −0.738413 0.674348i \(-0.764425\pi\)
0.821753 + 0.569843i \(0.192996\pi\)
\(368\) 24.8719 + 3.74883i 1.29654 + 0.195421i
\(369\) −5.95985 4.11177i −0.310257 0.214050i
\(370\) −0.305234 + 1.33732i −0.0158684 + 0.0695239i
\(371\) 1.36122 2.27500i 0.0706708 0.118112i
\(372\) 6.42434 + 21.0333i 0.333087 + 1.09053i
\(373\) −8.94687 −0.463251 −0.231626 0.972805i \(-0.574404\pi\)
−0.231626 + 0.972805i \(0.574404\pi\)
\(374\) 0.00840596 0.0145595i 0.000434662 0.000752856i
\(375\) −22.3775 5.17260i −1.15557 0.267112i
\(376\) −0.126402 1.68672i −0.00651869 0.0869859i
\(377\) 2.58048 3.23582i 0.132901 0.166653i
\(378\) 0.645591 0.235743i 0.0332056 0.0121253i
\(379\) −6.90075 8.65327i −0.354468 0.444488i 0.572345 0.820013i \(-0.306034\pi\)
−0.926812 + 0.375525i \(0.877463\pi\)
\(380\) −41.1151 + 38.1492i −2.10916 + 1.95702i
\(381\) 22.1497 4.99119i 1.13476 0.255706i
\(382\) −0.267733 + 0.182537i −0.0136984 + 0.00933942i
\(383\) −15.6349 + 19.6055i −0.798904 + 1.00179i 0.200850 + 0.979622i \(0.435630\pi\)
−0.999754 + 0.0221721i \(0.992942\pi\)
\(384\) 2.39596 1.37450i 0.122269 0.0701421i
\(385\) −0.539434 + 0.157222i −0.0274921 + 0.00801280i
\(386\) −0.473334 0.227946i −0.0240921 0.0116021i
\(387\) −17.4130 + 11.7316i −0.885153 + 0.596351i
\(388\) −11.6182 + 3.58375i −0.589826 + 0.181937i
\(389\) 11.3517 5.46670i 0.575555 0.277173i −0.123378 0.992360i \(-0.539373\pi\)
0.698933 + 0.715187i \(0.253658\pi\)
\(390\) 0.109593 0.351839i 0.00554947 0.0178161i
\(391\) 18.4269 + 31.9164i 0.931890 + 1.61408i
\(392\) −0.470219 1.31753i −0.0237496 0.0665451i
\(393\) −2.48562 + 5.12518i −0.125383 + 0.258531i
\(394\) 0.00159165 0.00405546i 8.01861e−5 0.000204311i
\(395\) −10.4796 7.14485i −0.527284 0.359496i
\(396\) −0.0276933 + 0.344025i −0.00139164 + 0.0172879i
\(397\) −0.262914 + 3.50834i −0.0131953 + 0.176079i 0.986712 + 0.162478i \(0.0519485\pi\)
−0.999908 + 0.0136011i \(0.995670\pi\)
\(398\) −0.409723 + 0.279344i −0.0205375 + 0.0140023i
\(399\) 34.1583 7.13928i 1.71005 0.357411i
\(400\) 28.3036 + 19.2971i 1.41518 + 0.964854i
\(401\) −14.1096 + 17.6929i −0.704599 + 0.883539i −0.997358 0.0726471i \(-0.976855\pi\)
0.292759 + 0.956186i \(0.405427\pi\)
\(402\) 0.360658 0.285989i 0.0179880 0.0142638i
\(403\) −4.57439 5.73611i −0.227867 0.285736i
\(404\) 6.81825 + 2.10315i 0.339220 + 0.104636i
\(405\) 30.0566 14.0675i 1.49352 0.699020i
\(406\) 0.0280632 + 0.473466i 0.00139275 + 0.0234977i
\(407\) 0.156578 + 0.398954i 0.00776127 + 0.0197754i
\(408\) 1.87932 + 0.743575i 0.0930400 + 0.0368124i
\(409\) 15.8786 + 4.89790i 0.785147 + 0.242186i 0.661306 0.750116i \(-0.270003\pi\)
0.123841 + 0.992302i \(0.460479\pi\)
\(410\) 0.222454 0.385301i 0.0109862 0.0190287i
\(411\) 4.02306 8.29528i 0.198443 0.409176i
\(412\) 28.6006 + 8.82210i 1.40905 + 0.434634i
\(413\) 7.29477 29.8094i 0.358952 1.46683i
\(414\) 0.779193 + 0.537574i 0.0382952 + 0.0264203i
\(415\) 35.0650 + 32.5356i 1.72127 + 1.59711i
\(416\) −0.430992 + 0.540447i −0.0211311 + 0.0264976i
\(417\) 10.2555 14.9531i 0.502213 0.732257i
\(418\) 0.00487902 0.0213764i 0.000238641 0.00104555i
\(419\) 0.606834 0.187184i 0.0296458 0.00914451i −0.279897 0.960030i \(-0.590300\pi\)
0.309543 + 0.950886i \(0.399824\pi\)
\(420\) −14.0839 30.6737i −0.687224 1.49672i
\(421\) −19.4021 5.98476i −0.945601 0.291679i −0.216653 0.976249i \(-0.569514\pi\)
−0.728948 + 0.684569i \(0.759990\pi\)
\(422\) 0.351090 0.608106i 0.0170908 0.0296021i
\(423\) −9.40693 + 23.5845i −0.457380 + 1.14672i
\(424\) 0.146796 0.136206i 0.00712902 0.00661477i
\(425\) 3.75084 + 50.0515i 0.181942 + 2.42785i
\(426\) 0.158847 0.231609i 0.00769617 0.0112215i
\(427\) −2.66265 + 29.3748i −0.128855 + 1.42155i
\(428\) 12.1585 30.9794i 0.587704 1.49744i
\(429\) −0.0336337 0.110117i −0.00162385 0.00531649i
\(430\) −0.804388 1.00867i −0.0387911 0.0486424i
\(431\) −0.199833 2.66659i −0.00962562 0.128445i 0.990321 0.138797i \(-0.0443237\pi\)
−0.999946 + 0.0103525i \(0.996705\pi\)
\(432\) −20.6609 + 1.37624i −0.994050 + 0.0662145i
\(433\) −24.3040 + 11.7042i −1.16798 + 0.562467i −0.914386 0.404844i \(-0.867326\pi\)
−0.253590 + 0.967312i \(0.581611\pi\)
\(434\) 0.829336 + 0.138264i 0.0398094 + 0.00663687i
\(435\) 3.35073 + 22.6551i 0.160655 + 1.08623i
\(436\) 3.76461 1.81294i 0.180292 0.0868242i
\(437\) 35.2341 + 32.6924i 1.68547 + 1.56389i
\(438\) 0.0303804 + 0.0176522i 0.00145163 + 0.000843454i
\(439\) 12.6959 32.3485i 0.605941 1.54391i −0.217232 0.976120i \(-0.569703\pi\)
0.823172 0.567792i \(-0.192202\pi\)
\(440\) −0.0424413 −0.00202331
\(441\) −2.33705 + 20.8696i −0.111288 + 0.993788i
\(442\) −0.336906 −0.0160250
\(443\) 5.39695 13.7512i 0.256417 0.653340i −0.743464 0.668776i \(-0.766818\pi\)
0.999881 + 0.0154362i \(0.00491369\pi\)
\(444\) −22.3314 + 12.8109i −1.05980 + 0.607979i
\(445\) −4.85924 4.50871i −0.230350 0.213733i
\(446\) 0.0491630 0.0236757i 0.00232794 0.00112108i
\(447\) −24.6515 + 19.5477i −1.16598 + 0.924576i
\(448\) 1.24297 + 20.9707i 0.0587248 + 0.990771i
\(449\) 11.3863 5.48336i 0.537354 0.258776i −0.145465 0.989363i \(-0.546468\pi\)
0.682819 + 0.730587i \(0.260754\pi\)
\(450\) 0.638443 + 1.12006i 0.0300965 + 0.0528002i
\(451\) −0.0103881 0.138619i −0.000489155 0.00652732i
\(452\) −19.7940 24.8209i −0.931030 1.16748i
\(453\) 7.64911 + 1.76810i 0.359386 + 0.0830727i
\(454\) −0.0186725 + 0.0475769i −0.000876346 + 0.00223289i
\(455\) 8.13363 + 7.78647i 0.381310 + 0.365036i
\(456\) 2.62796 + 0.204240i 0.123066 + 0.00956443i
\(457\) −1.67412 22.3396i −0.0783121 1.04500i −0.888514 0.458850i \(-0.848261\pi\)
0.810202 0.586151i \(-0.199358\pi\)
\(458\) −0.498907 + 0.462918i −0.0233124 + 0.0216307i
\(459\) −20.4511 22.4107i −0.954574 1.04604i
\(460\) 23.2447 40.2609i 1.08379 1.87718i
\(461\) −24.6749 7.61120i −1.14922 0.354489i −0.339102 0.940750i \(-0.610123\pi\)
−0.810123 + 0.586261i \(0.800599\pi\)
\(462\) 0.0113039 + 0.00680604i 0.000525907 + 0.000316646i
\(463\) −6.06415 + 1.87054i −0.281825 + 0.0869315i −0.432445 0.901660i \(-0.642349\pi\)
0.150620 + 0.988592i \(0.451873\pi\)
\(464\) 3.17977 13.9315i 0.147617 0.646752i
\(465\) 40.4753 + 3.14566i 1.87700 + 0.145877i
\(466\) 0.425605 0.533692i 0.0197158 0.0247228i
\(467\) 4.37534 + 4.05972i 0.202466 + 0.187861i 0.774889 0.632097i \(-0.217806\pi\)
−0.572422 + 0.819959i \(0.693996\pi\)
\(468\) 6.24801 2.96647i 0.288814 0.137125i
\(469\) 2.91531 + 13.7586i 0.134616 + 0.635311i
\(470\) −1.49088 0.459876i −0.0687692 0.0212125i
\(471\) 1.92405 + 2.83888i 0.0886555 + 0.130809i
\(472\) 1.15904 2.00752i 0.0533492 0.0924036i
\(473\) −0.385185 0.118814i −0.0177108 0.00546307i
\(474\) 0.0435783 + 0.294644i 0.00200162 + 0.0135334i
\(475\) 23.9153 + 60.9353i 1.09731 + 2.79590i
\(476\) −22.9448 + 20.6331i −1.05167 + 0.945718i
\(477\) −2.87741 + 0.870182i −0.131747 + 0.0398429i
\(478\) −0.163216 0.0503454i −0.00746532 0.00230275i
\(479\) −6.88289 8.63087i −0.314487 0.394354i 0.599316 0.800513i \(-0.295439\pi\)
−0.913803 + 0.406159i \(0.866868\pi\)
\(480\) −0.559639 3.78385i −0.0255439 0.172709i
\(481\) 5.35491 6.71485i 0.244163 0.306171i
\(482\) 0.0844181 + 0.0575553i 0.00384514 + 0.00262157i
\(483\) −25.3107 + 14.0000i −1.15168 + 0.637021i
\(484\) 18.1491 12.3738i 0.824957 0.562446i
\(485\) −1.67723 + 22.3811i −0.0761593 + 1.01627i
\(486\) −0.721437 0.294706i −0.0327250 0.0133681i
\(487\) 8.43582 + 5.75145i 0.382264 + 0.260623i 0.739172 0.673516i \(-0.235217\pi\)
−0.356909 + 0.934139i \(0.616169\pi\)
\(488\) −0.813947 + 2.07390i −0.0368457 + 0.0938812i
\(489\) −17.0815 25.2032i −0.772451 1.13973i
\(490\) −1.28974 0.0402460i −0.0582645 0.00181813i
\(491\) 7.94379 + 13.7590i 0.358498 + 0.620937i 0.987710 0.156297i \(-0.0499556\pi\)
−0.629212 + 0.777234i \(0.716622\pi\)
\(492\) 8.14604 1.83562i 0.367252 0.0827561i
\(493\) 18.8639 9.08436i 0.849586 0.409139i
\(494\) −0.419872 + 0.129513i −0.0188910 + 0.00582709i
\(495\) 0.572481 + 0.279599i 0.0257311 + 0.0125670i
\(496\) −22.8227 10.9908i −1.02477 0.493503i
\(497\) 4.17421 + 7.49762i 0.187239 + 0.336314i
\(498\) 0.00310302 1.12330i 0.000139050 0.0503363i
\(499\) −15.4487 + 19.3721i −0.691581 + 0.867215i −0.996363 0.0852072i \(-0.972845\pi\)
0.304783 + 0.952422i \(0.401416\pi\)
\(500\) 21.8850 14.9209i 0.978727 0.667285i
\(501\) 7.88348 + 8.54358i 0.352208 + 0.381699i
\(502\) 1.00458 0.932112i 0.0448365 0.0416022i
\(503\) −19.8403 24.8790i −0.884635 1.10930i −0.993340 0.115224i \(-0.963242\pi\)
0.108704 0.994074i \(-0.465330\pi\)
\(504\) −0.610571 + 1.46401i −0.0271970 + 0.0652121i
\(505\) 8.21221 10.2978i 0.365439 0.458246i
\(506\) 0.00135814 + 0.0181231i 6.03766e−5 + 0.000805670i
\(507\) 13.7867 14.7764i 0.612289 0.656245i
\(508\) −13.0924 + 22.6767i −0.580881 + 1.00612i
\(509\) 9.02335 0.399953 0.199976 0.979801i \(-0.435913\pi\)
0.199976 + 0.979801i \(0.435913\pi\)
\(510\) 1.27178 1.36308i 0.0563152 0.0603581i
\(511\) −0.896367 + 0.590867i −0.0396530 + 0.0261384i
\(512\) −0.885511 + 3.87968i −0.0391344 + 0.171459i
\(513\) −34.1024 20.0677i −1.50566 0.886010i
\(514\) 0.793019 + 0.119528i 0.0349786 + 0.00527217i
\(515\) 34.4478 43.1962i 1.51795 1.90345i
\(516\) 3.67505 23.9336i 0.161785 1.05362i
\(517\) −0.465814 + 0.143684i −0.0204865 + 0.00631924i
\(518\) 0.0582356 + 0.982519i 0.00255873 + 0.0431694i
\(519\) 1.57441 + 5.15462i 0.0691089 + 0.226263i
\(520\) 0.425256 + 0.736564i 0.0186487 + 0.0323005i
\(521\) 21.6450 + 37.4903i 0.948285 + 1.64248i 0.749036 + 0.662530i \(0.230517\pi\)
0.199250 + 0.979949i \(0.436150\pi\)
\(522\) 0.337632 0.418612i 0.0147778 0.0183221i
\(523\) −25.9311 + 17.6795i −1.13389 + 0.773072i −0.976724 0.214501i \(-0.931188\pi\)
−0.157164 + 0.987572i \(0.550235\pi\)
\(524\) −2.39996 6.11499i −0.104843 0.267135i
\(525\) −39.3301 + 2.22215i −1.71650 + 0.0969827i
\(526\) 0.0724600 0.184625i 0.00315941 0.00805003i
\(527\) −8.25895 36.1848i −0.359766 1.57624i
\(528\) −0.269586 0.292159i −0.0117322 0.0127146i
\(529\) −15.1719 7.30640i −0.659648 0.317670i
\(530\) −0.0674834 0.171945i −0.00293129 0.00746881i
\(531\) −28.8594 + 19.4433i −1.25239 + 0.843768i
\(532\) −20.6634 + 34.5347i −0.895872 + 1.49727i
\(533\) −2.30163 + 1.56923i −0.0996948 + 0.0679707i
\(534\) −0.000430010 0.155665i −1.86084e−5 0.00673627i
\(535\) −45.0338 41.7853i −1.94698 1.80653i
\(536\) −0.0793874 + 1.05935i −0.00342901 + 0.0457570i
\(537\) 1.26469 + 1.37059i 0.0545755 + 0.0591453i
\(538\) −0.455619 + 0.789156i −0.0196431 + 0.0340229i
\(539\) −0.340032 + 0.216611i −0.0146462 + 0.00933009i
\(540\) −11.5835 + 36.4767i −0.498473 + 1.56971i
\(541\) 9.78665 1.47510i 0.420761 0.0634195i 0.0647505 0.997901i \(-0.479375\pi\)
0.356010 + 0.934482i \(0.384137\pi\)
\(542\) −0.113464 + 0.0546415i −0.00487370 + 0.00234705i
\(543\) −7.04835 5.65280i −0.302474 0.242585i
\(544\) −3.15065 + 1.51727i −0.135083 + 0.0650525i
\(545\) −0.576405 7.69159i −0.0246905 0.329472i
\(546\) 0.00485438 0.264374i 0.000207748 0.0113142i
\(547\) −1.13883 + 15.1966i −0.0486927 + 0.649759i 0.918452 + 0.395532i \(0.129440\pi\)
−0.967145 + 0.254226i \(0.918179\pi\)
\(548\) 3.88442 + 9.89734i 0.165934 + 0.422793i
\(549\) 24.6418 22.6122i 1.05169 0.965065i
\(550\) −0.00904267 + 0.0230403i −0.000385581 + 0.000982444i
\(551\) 20.0171 18.5731i 0.852756 0.791242i
\(552\) −2.13136 + 0.480279i −0.0907168 + 0.0204420i
\(553\) −8.65355 2.81781i −0.367986 0.119825i
\(554\) 1.00289 + 0.151162i 0.0426088 + 0.00642224i
\(555\) 6.95330 + 47.0130i 0.295151 + 1.99559i
\(556\) 4.65311 + 20.3866i 0.197336 + 0.864585i
\(557\) 0.802785 + 1.39046i 0.0340151 + 0.0589159i 0.882532 0.470253i \(-0.155837\pi\)
−0.848517 + 0.529169i \(0.822504\pi\)
\(558\) −0.590282 0.748637i −0.0249886 0.0316924i
\(559\) 1.79750 + 7.87535i 0.0760260 + 0.333092i
\(560\) 36.9661 + 12.0371i 1.56210 + 0.508659i
\(561\) 0.0884029 0.575719i 0.00373237 0.0243069i
\(562\) −0.0128320 + 0.0562206i −0.000541284 + 0.00237152i
\(563\) −11.8316 30.1464i −0.498642 1.27052i −0.929741 0.368214i \(-0.879969\pi\)
0.431100 0.902304i \(-0.358126\pi\)
\(564\) −12.6324 26.4178i −0.531919 1.11239i
\(565\) −56.0002 + 17.2738i −2.35595 + 0.726713i
\(566\) 0.300840 1.31807i 0.0126453 0.0554025i
\(567\) 17.8806 15.7253i 0.750914 0.660400i
\(568\) 0.144234 + 0.631932i 0.00605194 + 0.0265153i
\(569\) 8.84258 + 15.3158i 0.370700 + 0.642072i 0.989673 0.143340i \(-0.0457844\pi\)
−0.618973 + 0.785412i \(0.712451\pi\)
\(570\) 1.06097 2.18765i 0.0444391 0.0916304i
\(571\) 18.1639 + 5.60283i 0.760137 + 0.234471i 0.650506 0.759501i \(-0.274557\pi\)
0.109631 + 0.993972i \(0.465033\pi\)
\(572\) 0.119635 + 0.0576131i 0.00500218 + 0.00240892i
\(573\) −6.34980 + 9.25840i −0.265267 + 0.386775i
\(574\) 0.0758819 0.310085i 0.00316725 0.0129427i
\(575\) −33.8293 42.4207i −1.41078 1.76906i
\(576\) 14.9543 18.5411i 0.623098 0.772545i
\(577\) 7.60651 19.3811i 0.316663 0.806844i −0.680582 0.732672i \(-0.738273\pi\)
0.997245 0.0741726i \(-0.0236316\pi\)
\(578\) −0.769854 0.370742i −0.0320217 0.0154208i
\(579\) −18.1470 1.41035i −0.754163 0.0586122i
\(580\) −21.8221 14.8781i −0.906113 0.617778i
\(581\) 30.6875 + 15.3725i 1.27313 + 0.637758i
\(582\) 0.412975 0.327474i 0.0171184 0.0135742i
\(583\) −0.0476841 0.0325105i −0.00197487 0.00134645i
\(584\) −0.0774906 + 0.0239027i −0.00320658 + 0.000989100i
\(585\) −0.883762 12.7369i −0.0365391 0.526606i
\(586\) 0.408149 0.0615185i 0.0168605 0.00254131i
\(587\) 4.83863 8.38076i 0.199712 0.345911i −0.748723 0.662883i \(-0.769333\pi\)
0.948435 + 0.316972i \(0.102666\pi\)
\(588\) −15.8605 18.3024i −0.654075 0.754777i
\(589\) −24.2030 41.9208i −0.997267 1.72732i
\(590\) −1.33315 1.67172i −0.0548849 0.0688235i
\(591\) 0.000416956 0.150939i 1.71513e−5 0.00620880i
\(592\) 6.59853 28.9100i 0.271198 1.18820i
\(593\) 2.79418 37.2857i 0.114743 1.53114i −0.581625 0.813457i \(-0.697583\pi\)
0.696368 0.717685i \(-0.254798\pi\)
\(594\) −0.00429133 0.0143328i −0.000176075 0.000588081i
\(595\) 19.9810 + 53.3424i 0.819140 + 2.18683i
\(596\) 2.71143 36.1815i 0.111064 1.48205i
\(597\) −9.71736 + 14.1685i −0.397705 + 0.579878i
\(598\) 0.300916 0.205161i 0.0123054 0.00838966i
\(599\) 33.3030 5.01961i 1.36072 0.205096i 0.572206 0.820110i \(-0.306088\pi\)
0.788516 + 0.615014i \(0.210850\pi\)
\(600\) −2.89908 0.670126i −0.118354 0.0273578i
\(601\) −43.8106 + 6.60339i −1.78707 + 0.269358i −0.957373 0.288854i \(-0.906726\pi\)
−0.829699 + 0.558212i \(0.811488\pi\)
\(602\) −0.756634 0.533339i −0.0308381 0.0217373i
\(603\) 8.04974 13.7663i 0.327811 0.560609i
\(604\) −7.48076 + 5.10029i −0.304388 + 0.207528i
\(605\) −9.02280 39.5315i −0.366829 1.60718i
\(606\) −0.308504 + 0.0222624i −0.0125321 + 0.000904347i
\(607\) −7.44769 −0.302292 −0.151146 0.988511i \(-0.548296\pi\)
−0.151146 + 0.988511i \(0.548296\pi\)
\(608\) −3.34325 + 3.10209i −0.135587 + 0.125806i
\(609\) 6.85681 + 14.9336i 0.277852 + 0.605140i
\(610\) 1.50644 + 1.39778i 0.0609941 + 0.0565943i
\(611\) 7.16102 + 6.64445i 0.289704 + 0.268806i
\(612\) 34.9887 + 0.193308i 1.41433 + 0.00781401i
\(613\) −12.0375 1.81437i −0.486192 0.0732816i −0.0986277 0.995124i \(-0.531445\pi\)
−0.387564 + 0.921843i \(0.626683\pi\)
\(614\) 0.538417 0.166080i 0.0217288 0.00670243i
\(615\) 2.33948 15.2357i 0.0943369 0.614364i
\(616\) −0.0292364 + 0.00852120i −0.00117797 + 0.000343329i
\(617\) 17.1880 15.9482i 0.691964 0.642049i −0.253666 0.967292i \(-0.581637\pi\)
0.945631 + 0.325243i \(0.105446\pi\)
\(618\) −1.29409 + 0.0933842i −0.0520558 + 0.00375646i
\(619\) 46.6392 1.87459 0.937293 0.348542i \(-0.113323\pi\)
0.937293 + 0.348542i \(0.113323\pi\)
\(620\) −34.3209 + 31.8451i −1.37836 + 1.27893i
\(621\) 31.9135 + 7.56283i 1.28064 + 0.303486i
\(622\) −1.06502 + 1.33549i −0.0427033 + 0.0535482i
\(623\) −4.25261 2.13029i −0.170377 0.0853481i
\(624\) −2.36918 + 7.60603i −0.0948431 + 0.304485i
\(625\) −1.31594 5.76551i −0.0526376 0.230620i
\(626\) 0.340757 0.0513609i 0.0136194 0.00205279i
\(627\) −0.111145 0.751480i −0.00443871 0.0300112i
\(628\) −3.91088 0.589470i −0.156061 0.0235224i
\(629\) 39.1456 18.8515i 1.56084 0.751659i
\(630\) 1.05130 + 1.01762i 0.0418848 + 0.0405429i
\(631\) 15.8167 + 7.61694i 0.629654 + 0.303226i 0.721360 0.692561i \(-0.243517\pi\)
−0.0917053 + 0.995786i \(0.529232\pi\)
\(632\) −0.567975 0.387239i −0.0225928 0.0154035i
\(633\) 3.69231 24.0460i 0.146756 0.955742i
\(634\) 0.0260471 0.347575i 0.00103446 0.0138040i
\(635\) 30.1370 + 37.7907i 1.19595 + 1.49968i
\(636\) 1.51282 3.11933i 0.0599871 0.123689i
\(637\) 7.16633 + 3.73081i 0.283940 + 0.147820i
\(638\) 0.0103249 0.000408767
\(639\) 2.21756 9.47418i 0.0877254 0.374793i
\(640\) 4.85862 + 3.31255i 0.192054 + 0.130940i
\(641\) 0.787579 3.45061i 0.0311075 0.136291i −0.956990 0.290122i \(-0.906304\pi\)
0.988097 + 0.153831i \(0.0491612\pi\)
\(642\) −0.00398519 + 1.44265i −0.000157283 + 0.0569368i
\(643\) −2.86404 38.2179i −0.112947 1.50717i −0.709564 0.704641i \(-0.751108\pi\)
0.596617 0.802526i \(-0.296511\pi\)
\(644\) 7.92905 32.4014i 0.312449 1.27679i
\(645\) −38.6479 22.4560i −1.52176 0.884203i
\(646\) −2.19799 0.331293i −0.0864787 0.0130346i
\(647\) 0.857621 + 11.4442i 0.0337165 + 0.449916i 0.988357 + 0.152154i \(0.0486210\pi\)
−0.954640 + 0.297762i \(0.903760\pi\)
\(648\) 1.62902 0.762435i 0.0639939 0.0299513i
\(649\) −0.638385 0.196916i −0.0250588 0.00772962i
\(650\) 0.490469 0.0739263i 0.0192378 0.00289963i
\(651\) 28.5137 5.95952i 1.11754 0.233572i
\(652\) 34.7203 + 5.23324i 1.35975 + 0.204949i
\(653\) −24.8044 11.9452i −0.970672 0.467451i −0.119785 0.992800i \(-0.538221\pi\)
−0.850887 + 0.525349i \(0.823935\pi\)
\(654\) −0.123566 + 0.132437i −0.00483182 + 0.00517869i
\(655\) −12.1263 −0.473812
\(656\) −4.80899 + 8.32941i −0.187759 + 0.325209i
\(657\) 1.20272 + 0.188082i 0.0469226 + 0.00733780i
\(658\) −1.11935 0.0174603i −0.0436369 0.000680672i
\(659\) 31.5733 + 29.2957i 1.22992 + 1.14120i 0.985164 + 0.171615i \(0.0548985\pi\)
0.244757 + 0.969585i \(0.421292\pi\)
\(660\) −0.684701 + 0.266545i −0.0266519 + 0.0103752i
\(661\) 11.0223 + 28.0843i 0.428718 + 1.09235i 0.968160 + 0.250332i \(0.0805398\pi\)
−0.539443 + 0.842022i \(0.681365\pi\)
\(662\) −0.385615 0.982532i −0.0149874 0.0381872i
\(663\) −10.8773 + 4.23440i −0.422441 + 0.164451i
\(664\) 1.90047 + 1.76338i 0.0737524 + 0.0684322i
\(665\) 45.4074 + 58.7974i 1.76082 + 2.28007i
\(666\) 0.700641 0.868687i 0.0271493 0.0336609i
\(667\) −11.3168 + 19.6012i −0.438187 + 0.758962i
\(668\) −13.4067 −0.518720
\(669\) 1.28971 1.38230i 0.0498630 0.0534427i
\(670\) 0.882849 + 0.425157i 0.0341074 + 0.0164253i
\(671\) 0.634906 + 0.0956967i 0.0245103 + 0.00369433i
\(672\) −1.14522 2.49421i −0.0441780 0.0962163i
\(673\) 30.2327 4.55685i 1.16539 0.175654i 0.462276 0.886736i \(-0.347033\pi\)
0.703109 + 0.711082i \(0.251795\pi\)
\(674\) −0.209803 0.0647157i −0.00808132 0.00249276i
\(675\) 34.6902 + 28.1380i 1.33523 + 1.08303i
\(676\) 1.74170 + 23.2414i 0.0669885 + 0.893899i
\(677\) 11.6462 + 1.75538i 0.447599 + 0.0674647i 0.368974 0.929440i \(-0.379709\pi\)
0.0786249 + 0.996904i \(0.474947\pi\)
\(678\) 1.18993 + 0.691393i 0.0456988 + 0.0265528i
\(679\) 3.33820 + 15.7544i 0.128109 + 0.604598i
\(680\) 0.321533 + 4.29056i 0.0123302 + 0.164535i
\(681\) −0.00489155 + 1.77075i −0.000187445 + 0.0678553i
\(682\) 0.00407277 0.0178440i 0.000155954 0.000683281i
\(683\) −25.9752 17.7096i −0.993913 0.677638i −0.0469218 0.998899i \(-0.514941\pi\)
−0.946991 + 0.321260i \(0.895894\pi\)
\(684\) 43.6793 13.2094i 1.67012 0.505076i
\(685\) 19.6268 0.749901
\(686\) −0.896540 + 0.231225i −0.0342301 + 0.00882820i
\(687\) −10.2895 + 21.2163i −0.392570 + 0.809452i
\(688\) 17.3892 + 21.8054i 0.662957 + 0.831322i
\(689\) −0.0864281 + 1.15330i −0.00329265 + 0.0439373i
\(690\) −0.305864 + 1.99192i −0.0116440 + 0.0758312i
\(691\) −0.297118 0.202571i −0.0113029 0.00770618i 0.557655 0.830073i \(-0.311701\pi\)
−0.568958 + 0.822366i \(0.692653\pi\)
\(692\) −5.60016 2.69690i −0.212886 0.102521i
\(693\) 0.450500 + 0.0776662i 0.0171131 + 0.00295030i
\(694\) 0.702015 0.338073i 0.0266481 0.0128331i
\(695\) 38.1695 + 5.75313i 1.44785 + 0.218229i
\(696\) 0.181604 + 1.22787i 0.00688368 + 0.0465422i
\(697\) −13.9348 + 2.10034i −0.527820 + 0.0795561i
\(698\) −0.236604 1.03663i −0.00895558 0.0392370i
\(699\) 7.03337 22.5800i 0.266026 0.854053i
\(700\) 28.8757 35.0725i 1.09140 1.32562i
\(701\) −6.10546 + 7.65601i −0.230600 + 0.289164i −0.883647 0.468154i \(-0.844919\pi\)
0.653047 + 0.757318i \(0.273491\pi\)
\(702\) −0.205746 + 0.218088i −0.00776537 + 0.00823120i
\(703\) 41.5387 38.5422i 1.56666 1.45365i
\(704\) 0.457309 0.0172355
\(705\) −53.9145 + 3.89059i −2.03054 + 0.146528i
\(706\) −1.01943 + 0.945890i −0.0383666 + 0.0355990i
\(707\) 3.58958 8.74263i 0.135000 0.328800i
\(708\) 6.09084 39.6663i 0.228908 1.49075i
\(709\) −19.0846 + 5.88681i −0.716736 + 0.221084i −0.631610 0.775286i \(-0.717606\pi\)
−0.0851263 + 0.996370i \(0.527129\pi\)
\(710\) 0.591208 + 0.0891102i 0.0221876 + 0.00334425i
\(711\) 5.11020 + 8.96514i 0.191647 + 0.336219i
\(712\) −0.263363 0.244365i −0.00986993 0.00915796i
\(713\) 29.4117 + 27.2901i 1.10148 + 1.02202i
\(714\) 0.602412 1.19432i 0.0225447 0.0446964i
\(715\) 0.179682 0.166721i 0.00671972 0.00623499i
\(716\) −2.15074 −0.0803771
\(717\) −5.90235 + 0.425927i −0.220427 + 0.0159065i
\(718\) 0.259463 + 1.13678i 0.00968308 + 0.0424244i
\(719\) −6.54048 + 4.45922i −0.243919 + 0.166301i −0.679109 0.734038i \(-0.737634\pi\)
0.435190 + 0.900339i \(0.356681\pi\)
\(720\) −21.8297 38.2972i −0.813544 1.42725i
\(721\) 15.0572 36.6728i 0.560760 1.36577i
\(722\) −1.92737 + 0.290504i −0.0717292 + 0.0108114i
\(723\) 3.44890 + 0.797219i 0.128266 + 0.0296489i
\(724\) 10.3034 1.55299i 0.382924 0.0577165i
\(725\) −25.4687 + 17.3643i −0.945886 + 0.644894i
\(726\) −0.538565 + 0.785261i −0.0199880 + 0.0291438i
\(727\) 0.366161 4.88608i 0.0135802 0.181215i −0.986289 0.165028i \(-0.947228\pi\)
0.999869 0.0161864i \(-0.00515253\pi\)
\(728\) 0.440829 + 0.422014i 0.0163382 + 0.0156409i
\(729\) −26.9963 0.447490i −0.999863 0.0165737i
\(730\) −0.00558986 + 0.0745915i −0.000206890 + 0.00276076i
\(731\) −9.09322 + 39.8400i −0.336325 + 1.47354i
\(732\) −0.106546 + 38.5699i −0.00393806 + 1.42559i
\(733\) 15.2830 + 19.1643i 0.564490 + 0.707848i 0.979381 0.202023i \(-0.0647517\pi\)
−0.414891 + 0.909871i \(0.636180\pi\)
\(734\) −0.0640078 0.110865i −0.00236257 0.00409209i
\(735\) −42.1463 + 14.9107i −1.55459 + 0.549990i
\(736\) 1.89013 3.27380i 0.0696710 0.120674i
\(737\) 0.302739 0.0456305i 0.0111515 0.00168082i
\(738\) −0.300202 + 0.202254i −0.0110506 + 0.00744507i
\(739\) −29.7919 + 9.18958i −1.09591 + 0.338044i −0.789435 0.613834i \(-0.789626\pi\)
−0.306477 + 0.951878i \(0.599150\pi\)
\(740\) −45.2844 30.8744i −1.66469 1.13496i
\(741\) −11.9282 + 9.45863i −0.438193 + 0.347472i
\(742\) −0.0810096 0.104898i −0.00297395 0.00385093i
\(743\) −7.40413 5.04805i −0.271631 0.185195i 0.419842 0.907597i \(-0.362086\pi\)
−0.691473 + 0.722402i \(0.743038\pi\)
\(744\) 2.19369 + 0.170490i 0.0804247 + 0.00625046i
\(745\) −60.3440 29.0601i −2.21083 1.06468i
\(746\) −0.163409 + 0.416360i −0.00598283 + 0.0152440i
\(747\) −14.0180 36.3058i −0.512892 1.32836i
\(748\) 0.418820 + 0.525183i 0.0153136 + 0.0192026i
\(749\) −39.4118 19.7428i −1.44008 0.721386i
\(750\) −0.649428 + 0.946905i −0.0237137 + 0.0345761i
\(751\) −38.7239 18.6484i −1.41306 0.680491i −0.437292 0.899320i \(-0.644062\pi\)
−0.975763 + 0.218828i \(0.929777\pi\)
\(752\) 32.2298 + 9.94156i 1.17530 + 0.362532i
\(753\) 20.7185 42.7202i 0.755025 1.55681i
\(754\) −0.103454 0.179188i −0.00376758 0.00652563i
\(755\) 3.71906 + 16.2943i 0.135350 + 0.593009i
\(756\) −0.655833 + 27.4533i −0.0238524 + 0.998466i
\(757\) −1.80578 + 7.91162i −0.0656320 + 0.287553i −0.997084 0.0763115i \(-0.975686\pi\)
0.931452 + 0.363864i \(0.118543\pi\)
\(758\) −0.528734 + 0.163093i −0.0192045 + 0.00592380i
\(759\) 0.271629 + 0.568052i 0.00985950 + 0.0206190i
\(760\) 2.05009 + 5.22355i 0.0743646 + 0.189478i
\(761\) 9.19199 40.2727i 0.333209 1.45989i −0.479667 0.877450i \(-0.659243\pi\)
0.812877 0.582436i \(-0.197900\pi\)
\(762\) 0.172276 1.12194i 0.00624090 0.0406435i
\(763\) −1.94136 5.18276i −0.0702818 0.187629i
\(764\) −2.88103 12.6226i −0.104232 0.456670i
\(765\) 23.9287 59.9926i 0.865144 2.16904i
\(766\) 0.626818 + 1.08568i 0.0226478 + 0.0392272i
\(767\) 2.97907 + 13.0522i 0.107568 + 0.471287i
\(768\) 4.00409 + 27.0726i 0.144485 + 0.976900i
\(769\) 20.6247 + 3.10867i 0.743746 + 0.112102i 0.509974 0.860190i \(-0.329655\pi\)
0.233772 + 0.972291i \(0.424893\pi\)
\(770\) −0.00253578 + 0.0279751i −9.13833e−5 + 0.00100815i
\(771\) 27.1057 6.10797i 0.976187 0.219973i
\(772\)