Properties

Label 224.2.bd.a.37.7
Level $224$
Weight $2$
Character 224.37
Analytic conductor $1.789$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 224.bd (of order \(24\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.78864900528\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{24})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label 37.7
Character \(\chi\) \(=\) 224.37
Dual form 224.2.bd.a.109.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.13266 - 0.846802i) q^{2} +(0.0986144 - 0.128517i) q^{3} +(0.565853 + 1.91828i) q^{4} +(2.39507 - 1.83780i) q^{5} +(-0.220525 + 0.0620594i) q^{6} +(0.134369 + 2.64234i) q^{7} +(0.983485 - 2.65193i) q^{8} +(0.769665 + 2.87243i) q^{9} +O(q^{10})\) \(q+(-1.13266 - 0.846802i) q^{2} +(0.0986144 - 0.128517i) q^{3} +(0.565853 + 1.91828i) q^{4} +(2.39507 - 1.83780i) q^{5} +(-0.220525 + 0.0620594i) q^{6} +(0.134369 + 2.64234i) q^{7} +(0.983485 - 2.65193i) q^{8} +(0.769665 + 2.87243i) q^{9} +(-4.26906 + 0.0534610i) q^{10} +(-0.230980 + 0.0304091i) q^{11} +(0.302333 + 0.116449i) q^{12} +(0.451311 - 0.186939i) q^{13} +(2.08534 - 3.10666i) q^{14} -0.489041i q^{15} +(-3.35962 + 2.17093i) q^{16} +(5.15284 - 2.97500i) q^{17} +(1.56061 - 3.90525i) q^{18} +(0.456233 - 3.46543i) q^{19} +(4.88068 + 3.55450i) q^{20} +(0.352835 + 0.243304i) q^{21} +(0.287373 + 0.161151i) q^{22} +(0.792513 + 2.95770i) q^{23} +(-0.243832 - 0.387913i) q^{24} +(1.06475 - 3.97371i) q^{25} +(-0.669484 - 0.170432i) q^{26} +(0.894039 + 0.370323i) q^{27} +(-4.99272 + 1.75293i) q^{28} +(-3.01331 - 7.27478i) q^{29} +(-0.414121 + 0.553919i) q^{30} +(-1.65406 - 2.86492i) q^{31} +(5.64367 + 0.385998i) q^{32} +(-0.0188699 + 0.0326836i) q^{33} +(-8.35567 - 0.993769i) q^{34} +(5.17792 + 6.08164i) q^{35} +(-5.07462 + 3.10181i) q^{36} +(3.48959 - 2.67766i) q^{37} +(-3.45129 + 3.53883i) q^{38} +(0.0204809 - 0.0764359i) q^{39} +(-2.51822 - 8.15902i) q^{40} +(-7.62359 + 7.62359i) q^{41} +(-0.193614 - 0.574363i) q^{42} +(-3.49397 + 8.43518i) q^{43} +(-0.189034 - 0.425878i) q^{44} +(7.12236 + 5.46518i) q^{45} +(1.60693 - 4.02118i) q^{46} +(-3.11151 - 1.79643i) q^{47} +(-0.0523058 + 0.645853i) q^{48} +(-6.96389 + 0.710095i) q^{49} +(-4.57095 + 3.59924i) q^{50} +(0.125808 - 0.955605i) q^{51} +(0.613978 + 0.759962i) q^{52} +(0.617371 - 0.0812784i) q^{53} +(-0.699055 - 1.17652i) q^{54} +(-0.497328 + 0.497328i) q^{55} +(7.13945 + 2.24236i) q^{56} +(-0.400375 - 0.400375i) q^{57} +(-2.74723 + 10.7916i) q^{58} +(1.44362 + 10.9654i) q^{59} +(0.938119 - 0.276725i) q^{60} +(-1.36236 - 0.179358i) q^{61} +(-0.552525 + 4.64566i) q^{62} +(-7.48651 + 2.41968i) q^{63} +(-6.06551 - 5.21628i) q^{64} +(0.737364 - 1.27715i) q^{65} +(0.0490498 - 0.0210405i) q^{66} +(-1.13554 + 1.47986i) q^{67} +(8.62264 + 8.20120i) q^{68} +(0.458267 + 0.189821i) q^{69} +(-0.714890 - 11.2731i) q^{70} +(-6.13645 - 6.13645i) q^{71} +(8.37445 + 0.783890i) q^{72} +(5.34815 + 1.43303i) q^{73} +(-6.21998 + 0.0778921i) q^{74} +(-0.405688 - 0.528703i) q^{75} +(6.90584 - 1.08574i) q^{76} +(-0.111388 - 0.606241i) q^{77} +(-0.0879241 + 0.0692329i) q^{78} +(-12.7597 - 7.36679i) q^{79} +(-4.05679 + 11.3739i) q^{80} +(-7.59029 + 4.38226i) q^{81} +(15.0906 - 2.17929i) q^{82} +(5.17520 - 2.14364i) q^{83} +(-0.267073 + 0.814512i) q^{84} +(6.87397 - 16.5952i) q^{85} +(11.1004 - 6.59552i) q^{86} +(-1.23209 - 0.330137i) q^{87} +(-0.146523 + 0.642451i) q^{88} +(11.0131 - 2.95095i) q^{89} +(-3.43931 - 12.2214i) q^{90} +(0.554598 + 1.16740i) q^{91} +(-5.22526 + 3.19389i) q^{92} +(-0.531306 - 0.0699477i) q^{93} +(2.00307 + 4.66958i) q^{94} +(-5.27607 - 9.13843i) q^{95} +(0.606154 - 0.687241i) q^{96} -12.8059 q^{97} +(8.48905 + 5.09274i) q^{98} +(-0.265125 - 0.640069i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} + O(q^{10}) \) \( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} - 4 q^{10} - 4 q^{11} - 4 q^{12} - 16 q^{13} + 24 q^{14} - 24 q^{16} - 24 q^{18} - 4 q^{19} - 48 q^{20} - 8 q^{21} - 24 q^{22} - 12 q^{23} + 36 q^{24} - 4 q^{25} - 4 q^{26} - 16 q^{27} + 12 q^{28} - 16 q^{29} + 44 q^{30} - 56 q^{31} - 4 q^{32} - 8 q^{33} - 32 q^{34} - 32 q^{35} - 96 q^{36} - 4 q^{37} + 36 q^{38} - 4 q^{39} - 68 q^{40} - 16 q^{41} - 28 q^{42} + 44 q^{44} + 8 q^{45} - 4 q^{46} - 16 q^{48} + 8 q^{50} - 28 q^{51} - 28 q^{52} - 20 q^{53} - 92 q^{54} - 16 q^{55} - 48 q^{56} - 16 q^{57} + 28 q^{58} - 36 q^{59} + 60 q^{60} - 4 q^{61} - 16 q^{63} + 56 q^{64} - 8 q^{65} - 36 q^{66} + 36 q^{67} - 36 q^{68} - 16 q^{69} - 44 q^{70} + 48 q^{71} - 4 q^{72} - 4 q^{73} + 68 q^{74} + 16 q^{75} - 16 q^{76} - 8 q^{77} - 120 q^{78} - 16 q^{80} - 44 q^{82} - 96 q^{83} - 28 q^{84} - 56 q^{85} - 4 q^{86} - 4 q^{87} + 40 q^{88} - 4 q^{89} + 224 q^{90} - 56 q^{91} - 80 q^{92} + 20 q^{93} + 4 q^{94} - 8 q^{95} - 32 q^{96} - 32 q^{97} + 96 q^{98} + 8 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.13266 0.846802i −0.800914 0.598779i
\(3\) 0.0986144 0.128517i 0.0569351 0.0741992i −0.764018 0.645195i \(-0.776776\pi\)
0.820953 + 0.570996i \(0.193443\pi\)
\(4\) 0.565853 + 1.91828i 0.282926 + 0.959142i
\(5\) 2.39507 1.83780i 1.07111 0.821890i 0.0864277 0.996258i \(-0.472455\pi\)
0.984681 + 0.174368i \(0.0557882\pi\)
\(6\) −0.220525 + 0.0620594i −0.0900291 + 0.0253356i
\(7\) 0.134369 + 2.64234i 0.0507866 + 0.998710i
\(8\) 0.983485 2.65193i 0.347714 0.937600i
\(9\) 0.769665 + 2.87243i 0.256555 + 0.957477i
\(10\) −4.26906 + 0.0534610i −1.35000 + 0.0169059i
\(11\) −0.230980 + 0.0304091i −0.0696431 + 0.00916869i −0.165267 0.986249i \(-0.552849\pi\)
0.0956241 + 0.995418i \(0.469515\pi\)
\(12\) 0.302333 + 0.116449i 0.0872760 + 0.0336159i
\(13\) 0.451311 0.186939i 0.125171 0.0518476i −0.319219 0.947681i \(-0.603420\pi\)
0.444390 + 0.895833i \(0.353420\pi\)
\(14\) 2.08534 3.10666i 0.557331 0.830290i
\(15\) 0.489041i 0.126270i
\(16\) −3.35962 + 2.17093i −0.839905 + 0.542733i
\(17\) 5.15284 2.97500i 1.24975 0.721542i 0.278689 0.960381i \(-0.410100\pi\)
0.971059 + 0.238839i \(0.0767668\pi\)
\(18\) 1.56061 3.90525i 0.367839 0.920476i
\(19\) 0.456233 3.46543i 0.104667 0.795025i −0.855932 0.517088i \(-0.827016\pi\)
0.960599 0.277937i \(-0.0896507\pi\)
\(20\) 4.88068 + 3.55450i 1.09135 + 0.794810i
\(21\) 0.352835 + 0.243304i 0.0769950 + 0.0530933i
\(22\) 0.287373 + 0.161151i 0.0612682 + 0.0343575i
\(23\) 0.792513 + 2.95770i 0.165250 + 0.616723i 0.998008 + 0.0630853i \(0.0200940\pi\)
−0.832758 + 0.553638i \(0.813239\pi\)
\(24\) −0.243832 0.387913i −0.0497721 0.0791825i
\(25\) 1.06475 3.97371i 0.212950 0.794741i
\(26\) −0.669484 0.170432i −0.131297 0.0334244i
\(27\) 0.894039 + 0.370323i 0.172058 + 0.0712687i
\(28\) −4.99272 + 1.75293i −0.943535 + 0.331273i
\(29\) −3.01331 7.27478i −0.559558 1.35089i −0.910117 0.414352i \(-0.864008\pi\)
0.350558 0.936541i \(-0.385992\pi\)
\(30\) −0.414121 + 0.553919i −0.0756077 + 0.101131i
\(31\) −1.65406 2.86492i −0.297079 0.514556i 0.678388 0.734704i \(-0.262679\pi\)
−0.975466 + 0.220149i \(0.929346\pi\)
\(32\) 5.64367 + 0.385998i 0.997669 + 0.0682355i
\(33\) −0.0188699 + 0.0326836i −0.00328483 + 0.00568949i
\(34\) −8.35567 0.993769i −1.43299 0.170430i
\(35\) 5.17792 + 6.08164i 0.875228 + 1.02799i
\(36\) −5.07462 + 3.10181i −0.845770 + 0.516968i
\(37\) 3.48959 2.67766i 0.573685 0.440204i −0.280736 0.959785i \(-0.590579\pi\)
0.854421 + 0.519581i \(0.173912\pi\)
\(38\) −3.45129 + 3.53883i −0.559874 + 0.574074i
\(39\) 0.0204809 0.0764359i 0.00327958 0.0122395i
\(40\) −2.51822 8.15902i −0.398165 1.29005i
\(41\) −7.62359 + 7.62359i −1.19060 + 1.19060i −0.213707 + 0.976898i \(0.568554\pi\)
−0.976898 + 0.213707i \(0.931446\pi\)
\(42\) −0.193614 0.574363i −0.0298752 0.0886262i
\(43\) −3.49397 + 8.43518i −0.532825 + 1.28635i 0.396820 + 0.917896i \(0.370114\pi\)
−0.929645 + 0.368456i \(0.879886\pi\)
\(44\) −0.189034 0.425878i −0.0284980 0.0642036i
\(45\) 7.12236 + 5.46518i 1.06174 + 0.814701i
\(46\) 1.60693 4.02118i 0.236930 0.592891i
\(47\) −3.11151 1.79643i −0.453860 0.262036i 0.255599 0.966783i \(-0.417727\pi\)
−0.709459 + 0.704747i \(0.751061\pi\)
\(48\) −0.0523058 + 0.645853i −0.00754969 + 0.0932209i
\(49\) −6.96389 + 0.710095i −0.994841 + 0.101442i
\(50\) −4.57095 + 3.59924i −0.646430 + 0.509009i
\(51\) 0.125808 0.955605i 0.0176166 0.133811i
\(52\) 0.613978 + 0.759962i 0.0851434 + 0.105388i
\(53\) 0.617371 0.0812784i 0.0848024 0.0111644i −0.0880056 0.996120i \(-0.528049\pi\)
0.172808 + 0.984956i \(0.444716\pi\)
\(54\) −0.699055 1.17652i −0.0951293 0.160105i
\(55\) −0.497328 + 0.497328i −0.0670597 + 0.0670597i
\(56\) 7.13945 + 2.24236i 0.954050 + 0.299648i
\(57\) −0.400375 0.400375i −0.0530310 0.0530310i
\(58\) −2.74723 + 10.7916i −0.360729 + 1.41700i
\(59\) 1.44362 + 10.9654i 0.187943 + 1.42757i 0.782066 + 0.623195i \(0.214166\pi\)
−0.594123 + 0.804374i \(0.702501\pi\)
\(60\) 0.938119 0.276725i 0.121111 0.0357251i
\(61\) −1.36236 0.179358i −0.174433 0.0229645i 0.0428039 0.999083i \(-0.486371\pi\)
−0.217236 + 0.976119i \(0.569704\pi\)
\(62\) −0.552525 + 4.64566i −0.0701707 + 0.589999i
\(63\) −7.48651 + 2.41968i −0.943212 + 0.304851i
\(64\) −6.06551 5.21628i −0.758189 0.652035i
\(65\) 0.737364 1.27715i 0.0914588 0.158411i
\(66\) 0.0490498 0.0210405i 0.00603761 0.00258990i
\(67\) −1.13554 + 1.47986i −0.138728 + 0.180794i −0.857551 0.514400i \(-0.828015\pi\)
0.718822 + 0.695194i \(0.244681\pi\)
\(68\) 8.62264 + 8.20120i 1.04565 + 0.994542i
\(69\) 0.458267 + 0.189821i 0.0551689 + 0.0228517i
\(70\) −0.714890 11.2731i −0.0854457 1.34740i
\(71\) −6.13645 6.13645i −0.728263 0.728263i 0.242011 0.970274i \(-0.422193\pi\)
−0.970274 + 0.242011i \(0.922193\pi\)
\(72\) 8.37445 + 0.783890i 0.986939 + 0.0923823i
\(73\) 5.34815 + 1.43303i 0.625953 + 0.167724i 0.557833 0.829953i \(-0.311633\pi\)
0.0681205 + 0.997677i \(0.478300\pi\)
\(74\) −6.21998 + 0.0778921i −0.723058 + 0.00905477i
\(75\) −0.405688 0.528703i −0.0468448 0.0610494i
\(76\) 6.90584 1.08574i 0.792155 0.124543i
\(77\) −0.111388 0.606241i −0.0126938 0.0690876i
\(78\) −0.0879241 + 0.0692329i −0.00995544 + 0.00783908i
\(79\) −12.7597 7.36679i −1.43557 0.828829i −0.438035 0.898958i \(-0.644326\pi\)
−0.997538 + 0.0701291i \(0.977659\pi\)
\(80\) −4.05679 + 11.3739i −0.453562 + 1.27164i
\(81\) −7.59029 + 4.38226i −0.843366 + 0.486918i
\(82\) 15.0906 2.17929i 1.66648 0.240662i
\(83\) 5.17520 2.14364i 0.568052 0.235295i −0.0801248 0.996785i \(-0.525532\pi\)
0.648177 + 0.761490i \(0.275532\pi\)
\(84\) −0.267073 + 0.814512i −0.0291400 + 0.0888706i
\(85\) 6.87397 16.5952i 0.745587 1.80001i
\(86\) 11.1004 6.59552i 1.19699 0.711213i
\(87\) −1.23209 0.330137i −0.132094 0.0353944i
\(88\) −0.146523 + 0.642451i −0.0156194 + 0.0684855i
\(89\) 11.0131 2.95095i 1.16738 0.312800i 0.377473 0.926021i \(-0.376793\pi\)
0.789911 + 0.613221i \(0.210127\pi\)
\(90\) −3.43931 12.2214i −0.362536 1.28825i
\(91\) 0.554598 + 1.16740i 0.0581377 + 0.122376i
\(92\) −5.22526 + 3.19389i −0.544771 + 0.332986i
\(93\) −0.531306 0.0699477i −0.0550938 0.00725324i
\(94\) 2.00307 + 4.66958i 0.206601 + 0.481631i
\(95\) −5.27607 9.13843i −0.541314 0.937583i
\(96\) 0.606154 0.687241i 0.0618654 0.0701413i
\(97\) −12.8059 −1.30025 −0.650123 0.759829i \(-0.725283\pi\)
−0.650123 + 0.759829i \(0.725283\pi\)
\(98\) 8.48905 + 5.09274i 0.857524 + 0.514444i
\(99\) −0.265125 0.640069i −0.0266461 0.0643294i
\(100\) 8.22519 0.206038i 0.822519 0.0206038i
\(101\) −0.643692 4.88933i −0.0640498 0.486506i −0.993165 0.116717i \(-0.962763\pi\)
0.929115 0.369790i \(-0.120570\pi\)
\(102\) −0.951706 + 0.975844i −0.0942329 + 0.0966230i
\(103\) −4.43413 + 1.18812i −0.436908 + 0.117069i −0.470567 0.882364i \(-0.655951\pi\)
0.0336591 + 0.999433i \(0.489284\pi\)
\(104\) −0.0518927 1.38070i −0.00508850 0.135389i
\(105\) 1.29221 0.0657117i 0.126107 0.00641281i
\(106\) −0.768100 0.430730i −0.0746045 0.0418362i
\(107\) −12.3164 16.0511i −1.19067 1.55172i −0.761030 0.648717i \(-0.775306\pi\)
−0.429644 0.902999i \(-0.641361\pi\)
\(108\) −0.204490 + 1.92457i −0.0196771 + 0.185192i
\(109\) −0.0997102 0.0765104i −0.00955051 0.00732836i 0.603975 0.797003i \(-0.293583\pi\)
−0.613526 + 0.789675i \(0.710249\pi\)
\(110\) 0.984443 0.142167i 0.0938630 0.0135551i
\(111\) 0.712527i 0.0676300i
\(112\) −6.18776 8.58555i −0.584689 0.811258i
\(113\) 9.27096i 0.872139i 0.899913 + 0.436069i \(0.143630\pi\)
−0.899913 + 0.436069i \(0.856370\pi\)
\(114\) 0.114452 + 0.792529i 0.0107194 + 0.0742272i
\(115\) 7.33379 + 5.62742i 0.683880 + 0.524759i
\(116\) 12.2500 9.89685i 1.13738 0.918899i
\(117\) 0.884328 + 1.15248i 0.0817561 + 0.106547i
\(118\) 7.65036 13.6425i 0.704273 1.25590i
\(119\) 8.55332 + 13.2158i 0.784082 + 1.21149i
\(120\) −1.29690 0.480964i −0.118391 0.0439058i
\(121\) −10.5728 + 2.83296i −0.961160 + 0.257542i
\(122\) 1.39122 + 1.35680i 0.125955 + 0.122839i
\(123\) 0.227964 + 1.73156i 0.0205548 + 0.156129i
\(124\) 4.55978 4.79409i 0.409480 0.430522i
\(125\) 1.02372 + 2.47148i 0.0915645 + 0.221056i
\(126\) 10.5287 + 3.59891i 0.937970 + 0.320616i
\(127\) 18.0822 1.60453 0.802266 0.596966i \(-0.203627\pi\)
0.802266 + 0.596966i \(0.203627\pi\)
\(128\) 2.45303 + 11.0446i 0.216820 + 0.976212i
\(129\) 0.739507 + 1.28086i 0.0651100 + 0.112774i
\(130\) −1.91668 + 0.822182i −0.168104 + 0.0721102i
\(131\) 19.9200 + 2.62252i 1.74042 + 0.229131i 0.932756 0.360509i \(-0.117397\pi\)
0.807666 + 0.589640i \(0.200730\pi\)
\(132\) −0.0733740 0.0177037i −0.00638639 0.00154091i
\(133\) 9.21815 + 0.739876i 0.799315 + 0.0641554i
\(134\) 2.53934 0.714611i 0.219365 0.0617330i
\(135\) 2.82187 0.756117i 0.242868 0.0650762i
\(136\) −2.82175 16.5909i −0.241963 1.42266i
\(137\) 10.8008 + 2.89407i 0.922777 + 0.247257i 0.688772 0.724978i \(-0.258150\pi\)
0.234005 + 0.972235i \(0.424817\pi\)
\(138\) −0.358322 0.603064i −0.0305024 0.0513362i
\(139\) −0.121776 + 0.293993i −0.0103289 + 0.0249361i −0.928960 0.370181i \(-0.879296\pi\)
0.918631 + 0.395117i \(0.129296\pi\)
\(140\) −8.73637 + 13.3740i −0.738358 + 1.13031i
\(141\) −0.537711 + 0.222727i −0.0452835 + 0.0187570i
\(142\) 1.75418 + 12.1469i 0.147207 + 1.01934i
\(143\) −0.0985592 + 0.0569032i −0.00824193 + 0.00475848i
\(144\) −8.82164 7.97939i −0.735136 0.664949i
\(145\) −20.5867 11.8857i −1.70963 0.987058i
\(146\) −4.84416 6.15196i −0.400905 0.509140i
\(147\) −0.595481 + 0.965003i −0.0491144 + 0.0795921i
\(148\) 7.11110 + 5.17886i 0.584529 + 0.425700i
\(149\) −13.1273 17.1078i −1.07543 1.40153i −0.909655 0.415365i \(-0.863654\pi\)
−0.165775 0.986164i \(-0.553013\pi\)
\(150\) 0.0118013 + 0.942380i 0.000963574 + 0.0769450i
\(151\) 1.63413 + 0.437863i 0.132983 + 0.0356328i 0.324697 0.945818i \(-0.394738\pi\)
−0.191713 + 0.981451i \(0.561404\pi\)
\(152\) −8.74141 4.61810i −0.709022 0.374578i
\(153\) 12.5114 + 12.5114i 1.01149 + 1.01149i
\(154\) −0.387202 + 0.780991i −0.0312016 + 0.0629340i
\(155\) −9.22677 3.82185i −0.741112 0.306979i
\(156\) 0.158215 0.00396324i 0.0126673 0.000317313i
\(157\) −11.1037 + 14.4707i −0.886174 + 1.15488i 0.100945 + 0.994892i \(0.467814\pi\)
−0.987118 + 0.159992i \(0.948853\pi\)
\(158\) 8.21418 + 19.1490i 0.653485 + 1.52341i
\(159\) 0.0504360 0.0873577i 0.00399984 0.00692792i
\(160\) 14.2264 9.44746i 1.12469 0.746887i
\(161\) −7.70875 + 2.49151i −0.607535 + 0.196358i
\(162\) 12.3082 + 1.46385i 0.967020 + 0.115011i
\(163\) 8.41470 + 1.10782i 0.659090 + 0.0867708i 0.452650 0.891688i \(-0.350479\pi\)
0.206440 + 0.978459i \(0.433812\pi\)
\(164\) −18.9380 10.3104i −1.47881 0.805105i
\(165\) 0.0148713 + 0.112959i 0.00115773 + 0.00879382i
\(166\) −7.67699 1.95435i −0.595850 0.151687i
\(167\) −11.3134 11.3134i −0.875461 0.875461i 0.117600 0.993061i \(-0.462480\pi\)
−0.993061 + 0.117600i \(0.962480\pi\)
\(168\) 0.992234 0.696411i 0.0765525 0.0537293i
\(169\) −9.02365 + 9.02365i −0.694127 + 0.694127i
\(170\) −21.8388 + 12.9759i −1.67496 + 0.995208i
\(171\) 10.3054 1.35673i 0.788071 0.103751i
\(172\) −18.1581 1.92935i −1.38454 0.147111i
\(173\) 0.681987 5.18021i 0.0518505 0.393844i −0.945766 0.324848i \(-0.894687\pi\)
0.997617 0.0689963i \(-0.0219797\pi\)
\(174\) 1.11598 + 1.41727i 0.0846023 + 0.107443i
\(175\) 10.6429 + 2.27949i 0.804531 + 0.172313i
\(176\) 0.709990 0.603605i 0.0535175 0.0454985i
\(177\) 1.55160 + 0.895814i 0.116625 + 0.0673335i
\(178\) −14.9730 5.98347i −1.12227 0.448480i
\(179\) −17.3865 13.3411i −1.29953 0.997161i −0.999059 0.0433689i \(-0.986191\pi\)
−0.300467 0.953792i \(-0.597142\pi\)
\(180\) −6.45356 + 16.7552i −0.481020 + 1.24886i
\(181\) −7.84455 + 18.9384i −0.583081 + 1.40768i 0.306925 + 0.951734i \(0.400700\pi\)
−0.890006 + 0.455948i \(0.849300\pi\)
\(182\) 0.360381 1.79190i 0.0267132 0.132825i
\(183\) −0.157399 + 0.157399i −0.0116353 + 0.0116353i
\(184\) 8.62305 + 0.807160i 0.635700 + 0.0595046i
\(185\) 3.43681 12.8264i 0.252679 0.943013i
\(186\) 0.542559 + 0.529138i 0.0397823 + 0.0387983i
\(187\) −1.09974 + 0.843858i −0.0804208 + 0.0617090i
\(188\) 1.68541 6.98527i 0.122921 0.509453i
\(189\) −0.858387 + 2.41211i −0.0624385 + 0.175455i
\(190\) −1.76242 + 14.8185i −0.127860 + 1.07505i
\(191\) 3.48458 6.03547i 0.252135 0.436711i −0.711978 0.702201i \(-0.752201\pi\)
0.964113 + 0.265491i \(0.0855339\pi\)
\(192\) −1.26853 + 0.265120i −0.0915480 + 0.0191334i
\(193\) 1.89126 + 3.27576i 0.136136 + 0.235794i 0.926031 0.377448i \(-0.123198\pi\)
−0.789895 + 0.613242i \(0.789865\pi\)
\(194\) 14.5048 + 10.8441i 1.04139 + 0.778561i
\(195\) −0.0914208 0.220709i −0.00654678 0.0158053i
\(196\) −5.30270 12.9569i −0.378764 0.925493i
\(197\) −2.15459 0.892459i −0.153508 0.0635851i 0.304607 0.952478i \(-0.401475\pi\)
−0.458114 + 0.888893i \(0.651475\pi\)
\(198\) −0.241714 + 0.949492i −0.0171779 + 0.0674775i
\(199\) 3.55082 13.2519i 0.251711 0.939399i −0.718179 0.695858i \(-0.755024\pi\)
0.969891 0.243541i \(-0.0783091\pi\)
\(200\) −9.49084 6.73173i −0.671104 0.476005i
\(201\) 0.0782068 + 0.291872i 0.00551629 + 0.0205871i
\(202\) −3.41121 + 6.08304i −0.240012 + 0.428001i
\(203\) 18.8175 8.93969i 1.32073 0.627444i
\(204\) 1.90431 0.299397i 0.133328 0.0209620i
\(205\) −4.24839 + 32.2697i −0.296720 + 2.25381i
\(206\) 6.02848 + 2.40909i 0.420024 + 0.167849i
\(207\) −7.88581 + 4.55288i −0.548102 + 0.316447i
\(208\) −1.11040 + 1.60781i −0.0769925 + 0.111482i
\(209\) 0.814320i 0.0563277i
\(210\) −1.51928 1.01982i −0.104841 0.0703741i
\(211\) −10.8428 + 4.49125i −0.746451 + 0.309190i −0.723293 0.690541i \(-0.757372\pi\)
−0.0231586 + 0.999732i \(0.507372\pi\)
\(212\) 0.505256 + 1.13830i 0.0347011 + 0.0781788i
\(213\) −1.39378 + 0.183495i −0.0955002 + 0.0125728i
\(214\) 0.358280 + 28.6100i 0.0244915 + 1.95574i
\(215\) 7.13390 + 26.6241i 0.486528 + 1.81575i
\(216\) 1.86135 2.00673i 0.126649 0.136540i
\(217\) 7.34784 4.75555i 0.498804 0.322828i
\(218\) 0.0481490 + 0.171095i 0.00326106 + 0.0115880i
\(219\) 0.711573 0.546009i 0.0480836 0.0368959i
\(220\) −1.23543 0.672601i −0.0832927 0.0453468i
\(221\) 1.76939 2.30592i 0.119022 0.155113i
\(222\) −0.603369 + 0.807053i −0.0404955 + 0.0541659i
\(223\) 18.5303 1.24088 0.620442 0.784252i \(-0.286953\pi\)
0.620442 + 0.784252i \(0.286953\pi\)
\(224\) −0.261605 + 14.9643i −0.0174792 + 0.999847i
\(225\) 12.2337 0.815580
\(226\) 7.85067 10.5009i 0.522219 0.698508i
\(227\) 12.8275 16.7171i 0.851391 1.10955i −0.141430 0.989948i \(-0.545170\pi\)
0.992821 0.119606i \(-0.0381632\pi\)
\(228\) 0.541480 0.994587i 0.0358604 0.0658681i
\(229\) 2.65261 2.03542i 0.175289 0.134504i −0.517391 0.855749i \(-0.673097\pi\)
0.692680 + 0.721245i \(0.256430\pi\)
\(230\) −3.54141 12.5842i −0.233514 0.829780i
\(231\) −0.0888966 0.0454690i −0.00584897 0.00299164i
\(232\) −22.2558 + 0.836470i −1.46116 + 0.0549170i
\(233\) 0.0317046 + 0.118323i 0.00207703 + 0.00775160i 0.966957 0.254941i \(-0.0820561\pi\)
−0.964880 + 0.262693i \(0.915389\pi\)
\(234\) −0.0257248 2.05422i −0.00168168 0.134289i
\(235\) −10.7538 + 1.41576i −0.701499 + 0.0923541i
\(236\) −20.2178 + 8.97405i −1.31607 + 0.584161i
\(237\) −2.20504 + 0.913358i −0.143233 + 0.0593290i
\(238\) 1.50313 22.2120i 0.0974337 1.43979i
\(239\) 15.1118i 0.977500i −0.872424 0.488750i \(-0.837453\pi\)
0.872424 0.488750i \(-0.162547\pi\)
\(240\) 1.06167 + 1.64299i 0.0685308 + 0.106055i
\(241\) 7.72412 4.45952i 0.497554 0.287263i −0.230149 0.973155i \(-0.573921\pi\)
0.727703 + 0.685892i \(0.240588\pi\)
\(242\) 14.3743 + 5.74424i 0.924017 + 0.369254i
\(243\) −0.564249 + 4.28590i −0.0361966 + 0.274941i
\(244\) −0.426836 2.71489i −0.0273254 0.173803i
\(245\) −15.3740 + 14.4990i −0.982209 + 0.926306i
\(246\) 1.20808 2.15431i 0.0770243 0.137354i
\(247\) −0.441922 1.64928i −0.0281188 0.104941i
\(248\) −9.22434 + 1.56886i −0.585746 + 0.0996228i
\(249\) 0.234856 0.876493i 0.0148834 0.0555455i
\(250\) 0.933325 3.66625i 0.0590287 0.231874i
\(251\) −12.1756 5.04331i −0.768518 0.318331i −0.0362461 0.999343i \(-0.511540\pi\)
−0.732272 + 0.681012i \(0.761540\pi\)
\(252\) −8.87789 12.9921i −0.559255 0.818423i
\(253\) −0.272996 0.659070i −0.0171631 0.0414354i
\(254\) −20.4810 15.3120i −1.28509 0.960761i
\(255\) −1.45489 2.51995i −0.0911090 0.157805i
\(256\) 6.57411 14.5870i 0.410882 0.911689i
\(257\) 3.46931 6.00902i 0.216410 0.374833i −0.737298 0.675568i \(-0.763899\pi\)
0.953708 + 0.300735i \(0.0972320\pi\)
\(258\) 0.247025 2.07700i 0.0153791 0.129309i
\(259\) 7.54416 + 8.86088i 0.468772 + 0.550588i
\(260\) 2.86718 + 0.691793i 0.177815 + 0.0429032i
\(261\) 18.5771 14.2547i 1.14989 0.882343i
\(262\) −20.3419 19.8388i −1.25673 1.22564i
\(263\) −5.26790 + 19.6601i −0.324833 + 1.21229i 0.589647 + 0.807661i \(0.299267\pi\)
−0.914480 + 0.404631i \(0.867400\pi\)
\(264\) 0.0681165 + 0.0821855i 0.00419228 + 0.00505817i
\(265\) 1.32927 1.32927i 0.0816566 0.0816566i
\(266\) −9.81453 8.64398i −0.601767 0.529996i
\(267\) 0.706802 1.70637i 0.0432556 0.104428i
\(268\) −3.48135 1.34090i −0.212657 0.0819086i
\(269\) 3.23287 + 2.48067i 0.197112 + 0.151249i 0.702602 0.711583i \(-0.252022\pi\)
−0.505490 + 0.862832i \(0.668688\pi\)
\(270\) −3.83651 1.53314i −0.233482 0.0933037i
\(271\) 7.74824 + 4.47345i 0.470672 + 0.271743i 0.716521 0.697565i \(-0.245733\pi\)
−0.245849 + 0.969308i \(0.579067\pi\)
\(272\) −10.8531 + 21.1813i −0.658065 + 1.28431i
\(273\) 0.204721 + 0.0438470i 0.0123903 + 0.00265374i
\(274\) −9.78300 12.4242i −0.591012 0.750572i
\(275\) −0.125100 + 0.950225i −0.00754379 + 0.0573007i
\(276\) −0.104818 + 0.986497i −0.00630928 + 0.0593801i
\(277\) 23.1657 3.04982i 1.39189 0.183246i 0.602980 0.797756i \(-0.293980\pi\)
0.788909 + 0.614510i \(0.210646\pi\)
\(278\) 0.386885 0.229875i 0.0232038 0.0137870i
\(279\) 6.95622 6.95622i 0.416458 0.416458i
\(280\) 21.2205 7.75029i 1.26817 0.463169i
\(281\) 13.8956 + 13.8956i 0.828939 + 0.828939i 0.987370 0.158431i \(-0.0506434\pi\)
−0.158431 + 0.987370i \(0.550643\pi\)
\(282\) 0.797652 + 0.203060i 0.0474995 + 0.0120920i
\(283\) 1.33074 + 10.1080i 0.0791041 + 0.600855i 0.984383 + 0.176038i \(0.0563283\pi\)
−0.905279 + 0.424817i \(0.860338\pi\)
\(284\) 8.29913 15.2438i 0.492463 0.904552i
\(285\) −1.69474 0.223117i −0.100388 0.0132163i
\(286\) 0.159820 + 0.0190080i 0.00945036 + 0.00112396i
\(287\) −21.1685 19.1197i −1.24954 1.12860i
\(288\) 3.23498 + 16.5081i 0.190623 + 0.972751i
\(289\) 9.20120 15.9369i 0.541247 0.937467i
\(290\) 13.2529 + 30.8954i 0.778240 + 1.81424i
\(291\) −1.26285 + 1.64578i −0.0740296 + 0.0964773i
\(292\) 0.277304 + 11.0701i 0.0162280 + 0.647831i
\(293\) −10.6054 4.39288i −0.619571 0.256635i 0.0507434 0.998712i \(-0.483841\pi\)
−0.670315 + 0.742077i \(0.733841\pi\)
\(294\) 1.49165 0.588769i 0.0869945 0.0343377i
\(295\) 23.6097 + 23.6097i 1.37461 + 1.37461i
\(296\) −3.66901 11.8876i −0.213257 0.690953i
\(297\) −0.217766 0.0583503i −0.0126361 0.00338583i
\(298\) 0.381868 + 30.4936i 0.0221210 + 1.76645i
\(299\) 0.910579 + 1.18669i 0.0526602 + 0.0686281i
\(300\) 0.784643 1.07739i 0.0453014 0.0622033i
\(301\) −22.7581 8.09881i −1.31175 0.466808i
\(302\) −1.48013 1.87973i −0.0851721 0.108167i
\(303\) −0.691838 0.399433i −0.0397451 0.0229468i
\(304\) 5.99045 + 12.6330i 0.343576 + 0.724552i
\(305\) −3.59258 + 2.07418i −0.205711 + 0.118767i
\(306\) −3.57654 24.7659i −0.204457 1.41578i
\(307\) 25.2285 10.4500i 1.43987 0.596413i 0.480103 0.877212i \(-0.340599\pi\)
0.959767 + 0.280799i \(0.0905994\pi\)
\(308\) 1.09991 0.556716i 0.0626734 0.0317219i
\(309\) −0.284576 + 0.687026i −0.0161889 + 0.0390836i
\(310\) 7.21447 + 12.1421i 0.409754 + 0.689626i
\(311\) −10.6381 2.85046i −0.603229 0.161635i −0.0557369 0.998445i \(-0.517751\pi\)
−0.547492 + 0.836811i \(0.684417\pi\)
\(312\) −0.182560 0.129488i −0.0103354 0.00733080i
\(313\) −29.2455 + 7.83631i −1.65305 + 0.442935i −0.960466 0.278398i \(-0.910196\pi\)
−0.692589 + 0.721333i \(0.743530\pi\)
\(314\) 24.8306 6.98773i 1.40127 0.394340i
\(315\) −13.4838 + 19.5540i −0.759728 + 1.10174i
\(316\) 6.91150 28.6452i 0.388802 1.61142i
\(317\) 7.58993 + 0.999233i 0.426293 + 0.0561225i 0.340621 0.940201i \(-0.389363\pi\)
0.0856723 + 0.996323i \(0.472696\pi\)
\(318\) −0.131102 + 0.0562376i −0.00735182 + 0.00315365i
\(319\) 0.917235 + 1.58870i 0.0513553 + 0.0889500i
\(320\) −24.1138 1.34613i −1.34800 0.0752512i
\(321\) −3.27741 −0.182927
\(322\) 10.8412 + 3.70574i 0.604158 + 0.206513i
\(323\) −7.95875 19.2141i −0.442837 1.06910i
\(324\) −12.7014 12.0806i −0.705633 0.671146i
\(325\) −0.262307 1.99242i −0.0145502 0.110520i
\(326\) −8.59292 8.38036i −0.475918 0.464145i
\(327\) −0.0196657 + 0.00526942i −0.00108752 + 0.000291399i
\(328\) 12.7196 + 27.7150i 0.702321 + 1.53030i
\(329\) 4.32869 8.46304i 0.238648 0.466583i
\(330\) 0.0788095 0.140537i 0.00433832 0.00773632i
\(331\) 8.93651 + 11.6463i 0.491195 + 0.640138i 0.971521 0.236952i \(-0.0761484\pi\)
−0.480326 + 0.877090i \(0.659482\pi\)
\(332\) 7.04050 + 8.71451i 0.386398 + 0.478271i
\(333\) 10.3772 + 7.96271i 0.568667 + 0.436354i
\(334\) 3.23408 + 22.3946i 0.176961 + 1.22538i
\(335\) 5.63128i 0.307670i
\(336\) −1.71359 0.0514271i −0.0934840 0.00280558i
\(337\) 14.5309i 0.791549i −0.918348 0.395775i \(-0.870476\pi\)
0.918348 0.395775i \(-0.129524\pi\)
\(338\) 17.8620 2.57951i 0.971565 0.140307i
\(339\) 1.19147 + 0.914251i 0.0647120 + 0.0496553i
\(340\) 35.7240 + 3.79576i 1.93741 + 0.205854i
\(341\) 0.469176 + 0.611442i 0.0254073 + 0.0331114i
\(342\) −12.8214 7.18989i −0.693301 0.388785i
\(343\) −2.81204 18.3055i −0.151836 0.988406i
\(344\) 18.9333 + 17.5616i 1.02081 + 0.946860i
\(345\) 1.44644 0.387571i 0.0778735 0.0208661i
\(346\) −5.15907 + 5.28992i −0.277353 + 0.284388i
\(347\) −1.77627 13.4921i −0.0953550 0.724293i −0.970615 0.240640i \(-0.922643\pi\)
0.875260 0.483653i \(-0.160690\pi\)
\(348\) −0.0638843 2.55030i −0.00342456 0.136711i
\(349\) −3.47085 8.37938i −0.185791 0.448538i 0.803351 0.595506i \(-0.203048\pi\)
−0.989141 + 0.146968i \(0.953048\pi\)
\(350\) −10.1246 11.5944i −0.541182 0.619745i
\(351\) 0.472717 0.0252318
\(352\) −1.31531 + 0.0824611i −0.0701064 + 0.00439519i
\(353\) 9.37055 + 16.2303i 0.498744 + 0.863850i 0.999999 0.00144971i \(-0.000461456\pi\)
−0.501255 + 0.865300i \(0.667128\pi\)
\(354\) −0.998859 2.32855i −0.0530887 0.123761i
\(355\) −25.9748 3.41965i −1.37860 0.181496i
\(356\) 11.8925 + 19.4564i 0.630303 + 1.03119i
\(357\) 2.54193 + 0.204023i 0.134533 + 0.0107980i
\(358\) 8.39574 + 29.8339i 0.443729 + 1.57677i
\(359\) 15.7063 4.20850i 0.828949 0.222116i 0.180694 0.983539i \(-0.442166\pi\)
0.648255 + 0.761423i \(0.275499\pi\)
\(360\) 21.4980 13.5131i 1.13305 0.712204i
\(361\) 6.55151 + 1.75547i 0.344816 + 0.0923932i
\(362\) 24.9223 14.8081i 1.30989 0.778295i
\(363\) −0.678543 + 1.63815i −0.0356143 + 0.0859805i
\(364\) −1.92558 + 1.72445i −0.100928 + 0.0903858i
\(365\) 15.4428 6.39662i 0.808314 0.334815i
\(366\) 0.311566 0.0449944i 0.0162858 0.00235189i
\(367\) 6.66599 3.84861i 0.347962 0.200896i −0.315825 0.948817i \(-0.602281\pi\)
0.663787 + 0.747921i \(0.268948\pi\)
\(368\) −9.08351 8.21626i −0.473511 0.428302i
\(369\) −27.7658 16.0306i −1.44543 0.834521i
\(370\) −14.7541 + 11.6176i −0.767031 + 0.603973i
\(371\) 0.297720 + 1.62038i 0.0154569 + 0.0841259i
\(372\) −0.166461 1.05877i −0.00863062 0.0548949i
\(373\) −1.06282 1.38509i −0.0550306 0.0717173i 0.765027 0.643998i \(-0.222725\pi\)
−0.820058 + 0.572281i \(0.806059\pi\)
\(374\) 1.96021 0.0245475i 0.101360 0.00126932i
\(375\) 0.418581 + 0.112158i 0.0216154 + 0.00579184i
\(376\) −7.82414 + 6.48476i −0.403499 + 0.334426i
\(377\) −2.71988 2.71988i −0.140081 0.140081i
\(378\) 3.01484 2.00523i 0.155067 0.103138i
\(379\) 3.51689 + 1.45674i 0.180651 + 0.0748279i 0.471175 0.882040i \(-0.343830\pi\)
−0.290525 + 0.956867i \(0.593830\pi\)
\(380\) 14.5446 15.2920i 0.746123 0.784463i
\(381\) 1.78316 2.32386i 0.0913542 0.119055i
\(382\) −9.05770 + 3.88540i −0.463432 + 0.198795i
\(383\) −9.64891 + 16.7124i −0.493036 + 0.853964i −0.999968 0.00802254i \(-0.997446\pi\)
0.506932 + 0.861986i \(0.330780\pi\)
\(384\) 1.66132 + 0.773898i 0.0847788 + 0.0394928i
\(385\) −1.38093 1.24728i −0.0703789 0.0635674i
\(386\) 0.631757 5.31185i 0.0321556 0.270366i
\(387\) −26.9186 3.54391i −1.36835 0.180147i
\(388\) −7.24628 24.5654i −0.367874 1.24712i
\(389\) 1.95362 + 14.8392i 0.0990526 + 0.752379i 0.966829 + 0.255424i \(0.0822151\pi\)
−0.867777 + 0.496955i \(0.834452\pi\)
\(390\) −0.0833481 + 0.327405i −0.00422050 + 0.0165788i
\(391\) 12.8828 + 12.8828i 0.651513 + 0.651513i
\(392\) −4.96576 + 19.1661i −0.250809 + 0.968037i
\(393\) 2.30144 2.30144i 0.116092 0.116092i
\(394\) 1.68468 + 2.83536i 0.0848732 + 0.142844i
\(395\) −44.0990 + 5.80574i −2.21886 + 0.292119i
\(396\) 1.07781 0.870771i 0.0541621 0.0437579i
\(397\) −1.21571 + 9.23421i −0.0610146 + 0.463452i 0.933477 + 0.358637i \(0.116758\pi\)
−0.994492 + 0.104815i \(0.966575\pi\)
\(398\) −15.2436 + 12.0030i −0.764092 + 0.601659i
\(399\) 1.00413 1.11172i 0.0502693 0.0556558i
\(400\) 5.04949 + 15.6617i 0.252474 + 0.783083i
\(401\) 17.6143 + 10.1696i 0.879614 + 0.507845i 0.870531 0.492114i \(-0.163776\pi\)
0.00908270 + 0.999959i \(0.497109\pi\)
\(402\) 0.158576 0.396818i 0.00790904 0.0197915i
\(403\) −1.28206 0.983762i −0.0638641 0.0490047i
\(404\) 9.01488 4.00142i 0.448507 0.199078i
\(405\) −10.1256 + 24.4453i −0.503143 + 1.21470i
\(406\) −28.8841 5.80906i −1.43349 0.288299i
\(407\) −0.724601 + 0.724601i −0.0359171 + 0.0359171i
\(408\) −2.41047 1.27346i −0.119336 0.0630455i
\(409\) 3.61472 13.4903i 0.178736 0.667053i −0.817149 0.576427i \(-0.804446\pi\)
0.995885 0.0906262i \(-0.0288868\pi\)
\(410\) 32.1380 32.9532i 1.58718 1.62744i
\(411\) 1.43705 1.10269i 0.0708847 0.0543917i
\(412\) −4.78822 7.83362i −0.235899 0.385935i
\(413\) −28.7802 + 5.28793i −1.41618 + 0.260202i
\(414\) 12.7874 + 1.52085i 0.628464 + 0.0747455i
\(415\) 8.45538 14.6452i 0.415058 0.718902i
\(416\) 2.61921 0.880817i 0.128417 0.0431856i
\(417\) 0.0257742 + 0.0446422i 0.00126217 + 0.00218614i
\(418\) 0.689568 0.922350i 0.0337279 0.0451136i
\(419\) −2.03515 4.91330i −0.0994238 0.240030i 0.866339 0.499456i \(-0.166467\pi\)
−0.965763 + 0.259426i \(0.916467\pi\)
\(420\) 0.857255 + 2.44164i 0.0418297 + 0.119140i
\(421\) −10.8099 4.47759i −0.526840 0.218224i 0.103378 0.994642i \(-0.467035\pi\)
−0.630219 + 0.776418i \(0.717035\pi\)
\(422\) 16.0845 + 4.09466i 0.782980 + 0.199325i
\(423\) 2.76530 10.3202i 0.134454 0.501788i
\(424\) 0.391630 1.71716i 0.0190192 0.0833928i
\(425\) −6.33526 23.6435i −0.307305 1.14688i
\(426\) 1.73407 + 0.972418i 0.0840158 + 0.0471138i
\(427\) 0.290867 3.62392i 0.0140760 0.175374i
\(428\) 23.8212 32.7089i 1.15144 1.58105i
\(429\) −0.00240634 + 0.0182780i −0.000116179 + 0.000882469i
\(430\) 14.4650 36.1971i 0.697565 1.74558i
\(431\) −27.1575 + 15.6794i −1.30813 + 0.755249i −0.981784 0.190002i \(-0.939151\pi\)
−0.326345 + 0.945251i \(0.605817\pi\)
\(432\) −3.80758 + 0.696753i −0.183192 + 0.0335225i
\(433\) 4.63344i 0.222669i −0.993783 0.111334i \(-0.964488\pi\)
0.993783 0.111334i \(-0.0355125\pi\)
\(434\) −12.3496 0.835726i −0.592802 0.0401161i
\(435\) −3.55767 + 1.47363i −0.170577 + 0.0706553i
\(436\) 0.0903472 0.234566i 0.00432685 0.0112337i
\(437\) 10.6113 1.39700i 0.507606 0.0668276i
\(438\) −1.26833 + 0.0158832i −0.0606034 + 0.000758929i
\(439\) 3.72032 + 13.8844i 0.177561 + 0.662667i 0.996101 + 0.0882174i \(0.0281170\pi\)
−0.818540 + 0.574449i \(0.805216\pi\)
\(440\) 0.829766 + 1.80800i 0.0395576 + 0.0861928i
\(441\) −7.39956 19.4568i −0.352360 0.926512i
\(442\) −3.95678 + 1.11350i −0.188205 + 0.0529639i
\(443\) 0.221361 0.169856i 0.0105172 0.00807011i −0.603489 0.797371i \(-0.706223\pi\)
0.614007 + 0.789301i \(0.289557\pi\)
\(444\) 1.36683 0.403185i 0.0648668 0.0191343i
\(445\) 20.9538 27.3076i 0.993308 1.29450i
\(446\) −20.9886 15.6915i −0.993841 0.743016i
\(447\) −3.49319 −0.165222
\(448\) 12.9681 16.7280i 0.612687 0.790325i
\(449\) 11.2365 0.530282 0.265141 0.964210i \(-0.414581\pi\)
0.265141 + 0.964210i \(0.414581\pi\)
\(450\) −13.8567 10.3595i −0.653209 0.488352i
\(451\) 1.52907 1.99272i 0.0720012 0.0938337i
\(452\) −17.7843 + 5.24600i −0.836505 + 0.246751i
\(453\) 0.217421 0.166833i 0.0102153 0.00783851i
\(454\) −28.6853 + 8.07252i −1.34627 + 0.378862i
\(455\) 3.47375 + 1.77676i 0.162852 + 0.0832956i
\(456\) −1.45553 + 0.668006i −0.0681615 + 0.0312822i
\(457\) 5.41106 + 20.1943i 0.253118 + 0.944651i 0.969128 + 0.246560i \(0.0793003\pi\)
−0.716009 + 0.698091i \(0.754033\pi\)
\(458\) −4.72811 + 0.0592096i −0.220930 + 0.00276668i
\(459\) 5.70855 0.751545i 0.266452 0.0350791i
\(460\) −6.64513 + 17.2526i −0.309831 + 0.804406i
\(461\) −5.18938 + 2.14951i −0.241693 + 0.100113i −0.500242 0.865886i \(-0.666756\pi\)
0.258549 + 0.965998i \(0.416756\pi\)
\(462\) 0.0621868 + 0.126779i 0.00289319 + 0.00589829i
\(463\) 27.0975i 1.25933i 0.776867 + 0.629664i \(0.216808\pi\)
−0.776867 + 0.629664i \(0.783192\pi\)
\(464\) 25.9167 + 17.8988i 1.20315 + 0.830932i
\(465\) −1.40106 + 0.808905i −0.0649728 + 0.0375121i
\(466\) 0.0642856 0.160868i 0.00297797 0.00745205i
\(467\) 3.44943 26.2010i 0.159621 1.21244i −0.704703 0.709503i \(-0.748920\pi\)
0.864323 0.502937i \(-0.167747\pi\)
\(468\) −1.71038 + 2.34852i −0.0790624 + 0.108561i
\(469\) −4.06288 2.80163i −0.187606 0.129367i
\(470\) 13.3793 + 7.50274i 0.617140 + 0.346075i
\(471\) 0.764735 + 2.85403i 0.0352371 + 0.131507i
\(472\) 30.4992 + 6.95590i 1.40384 + 0.320171i
\(473\) 0.550530 2.05461i 0.0253134 0.0944709i
\(474\) 3.27100 + 0.832706i 0.150242 + 0.0382475i
\(475\) −13.2848 5.50276i −0.609550 0.252484i
\(476\) −20.5117 + 23.8859i −0.940154 + 1.09481i
\(477\) 0.708635 + 1.71080i 0.0324462 + 0.0783320i
\(478\) −12.7967 + 17.1166i −0.585307 + 0.782893i
\(479\) 19.7905 + 34.2781i 0.904249 + 1.56621i 0.821922 + 0.569600i \(0.192902\pi\)
0.0823266 + 0.996605i \(0.473765\pi\)
\(480\) 0.188769 2.75998i 0.00861608 0.125975i
\(481\) 1.07433 1.86080i 0.0489853 0.0848450i
\(482\) −12.5252 1.48966i −0.570505 0.0678522i
\(483\) −0.439993 + 1.23640i −0.0200204 + 0.0562583i
\(484\) −11.4170 18.6785i −0.518957 0.849023i
\(485\) −30.6711 + 23.5348i −1.39270 + 1.06866i
\(486\) 4.26841 4.37667i 0.193619 0.198530i
\(487\) −3.97491 + 14.8346i −0.180120 + 0.672218i 0.815502 + 0.578754i \(0.196461\pi\)
−0.995623 + 0.0934643i \(0.970206\pi\)
\(488\) −1.81551 + 3.43650i −0.0821843 + 0.155563i
\(489\) 0.972183 0.972183i 0.0439636 0.0439636i
\(490\) 29.6913 3.40374i 1.34132 0.153765i
\(491\) −4.56826 + 11.0288i −0.206163 + 0.497721i −0.992813 0.119678i \(-0.961814\pi\)
0.786650 + 0.617399i \(0.211814\pi\)
\(492\) −3.19262 + 1.41710i −0.143934 + 0.0638880i
\(493\) −37.1696 28.5212i −1.67403 1.28453i
\(494\) −0.896061 + 2.24229i −0.0403157 + 0.100886i
\(495\) −1.81132 1.04576i −0.0814126 0.0470036i
\(496\) 11.7766 + 6.03420i 0.528784 + 0.270943i
\(497\) 15.3900 17.0391i 0.690337 0.764309i
\(498\) −1.00823 + 0.793896i −0.0451798 + 0.0355753i
\(499\) −5.33596 + 40.5306i −0.238870 + 1.81440i 0.280503 + 0.959853i \(0.409499\pi\)
−0.519373 + 0.854547i \(0.673835\pi\)
\(500\) −4.16173 + 3.36229i −0.186118 + 0.150366i
\(501\) −2.56964 + 0.338299i −0.114803 + 0.0151141i
\(502\) 9.52019 + 16.0227i 0.424907 + 0.715128i
\(503\) 22.4030 22.4030i 0.998901 0.998901i −0.00109823 0.999999i \(-0.500350\pi\)
0.999999 + 0.00109823i \(0.000349579\pi\)
\(504\) −0.946038 + 22.2335i −0.0421399 + 0.990357i
\(505\) −10.5273 10.5273i −0.468459 0.468459i
\(506\) −0.248889 + 0.977678i −0.0110645 + 0.0434631i
\(507\) 0.269829 + 2.04955i 0.0119835 + 0.0910239i
\(508\) 10.2318 + 34.6867i 0.453965 + 1.53897i
\(509\) 42.8553 + 5.64201i 1.89953 + 0.250078i 0.987213 0.159407i \(-0.0509582\pi\)
0.912317 + 0.409485i \(0.134291\pi\)
\(510\) −0.485994 + 4.08626i −0.0215202 + 0.180943i
\(511\) −3.06793 + 14.3242i −0.135717 + 0.633664i
\(512\) −19.7986 + 10.9552i −0.874981 + 0.484157i
\(513\) 1.69122 2.92928i 0.0746692 0.129331i
\(514\) −9.01802 + 3.86838i −0.397768 + 0.170627i
\(515\) −8.43653 + 10.9947i −0.371758 + 0.484484i
\(516\) −2.03861 + 2.14336i −0.0897447 + 0.0943563i
\(517\) 0.773325 + 0.320322i 0.0340108 + 0.0140877i
\(518\) −1.04159 16.4248i −0.0457647 0.721665i
\(519\) −0.598490 0.598490i −0.0262708 0.0262708i
\(520\) −2.66174 3.21150i −0.116725 0.140834i
\(521\) 3.63378 + 0.973669i 0.159199 + 0.0426572i 0.337538 0.941312i \(-0.390406\pi\)
−0.178339 + 0.983969i \(0.557072\pi\)
\(522\) −33.1125 + 0.414664i −1.44929 + 0.0181493i
\(523\) 2.23284 + 2.90989i 0.0976351 + 0.127241i 0.839616 0.543181i \(-0.182780\pi\)
−0.741981 + 0.670421i \(0.766113\pi\)
\(524\) 6.24107 + 39.6962i 0.272642 + 1.73414i
\(525\) 1.34250 1.14301i 0.0585915 0.0498849i
\(526\) 22.6150 17.8074i 0.986059 0.776439i
\(527\) −17.0463 9.84167i −0.742547 0.428710i
\(528\) −0.00755822 0.150770i −0.000328929 0.00656141i
\(529\) 11.7987 6.81197i 0.512986 0.296173i
\(530\) −2.63125 + 0.379988i −0.114294 + 0.0165056i
\(531\) −30.3862 + 12.5864i −1.31865 + 0.546201i
\(532\) 3.79682 + 18.1017i 0.164613 + 0.784807i
\(533\) −2.01546 + 4.86576i −0.0872994 + 0.210759i
\(534\) −2.24553 + 1.33422i −0.0971735 + 0.0577375i
\(535\) −58.9974 15.8083i −2.55068 0.683453i
\(536\) 2.80772 + 4.46680i 0.121275 + 0.192936i
\(537\) −3.42911 + 0.918828i −0.147977 + 0.0396504i
\(538\) −1.56112 5.54737i −0.0673047 0.239164i
\(539\) 1.58693 0.375783i 0.0683538 0.0161861i
\(540\) 3.04721 + 4.98529i 0.131131 + 0.214533i
\(541\) −5.35839 0.705446i −0.230375 0.0303295i 0.0144547 0.999896i \(-0.495399\pi\)
−0.244830 + 0.969566i \(0.578732\pi\)
\(542\) −4.98802 11.6281i −0.214254 0.499471i
\(543\) 1.66032 + 2.87576i 0.0712512 + 0.123411i
\(544\) 30.2293 14.8009i 1.29607 0.634584i
\(545\) −0.379424 −0.0162527
\(546\) −0.194751 0.223022i −0.00833457 0.00954448i
\(547\) 3.07158 + 7.41545i 0.131331 + 0.317062i 0.975842 0.218477i \(-0.0701087\pi\)
−0.844511 + 0.535538i \(0.820109\pi\)
\(548\) 0.560028 + 22.3567i 0.0239232 + 0.955029i
\(549\) −0.533369 4.05134i −0.0227636 0.172907i
\(550\) 0.946348 0.970351i 0.0403524 0.0413759i
\(551\) −26.5851 + 7.12344i −1.13256 + 0.303469i
\(552\) 0.954091 1.02861i 0.0406088 0.0437805i
\(553\) 17.7510 34.7052i 0.754851 1.47581i
\(554\) −28.8215 16.1623i −1.22451 0.686670i
\(555\) −1.30948 1.70655i −0.0555845 0.0724391i
\(556\) −0.632869 0.0672438i −0.0268396 0.00285177i
\(557\) −0.232128 0.178118i −0.00983559 0.00754711i 0.603832 0.797112i \(-0.293640\pi\)
−0.613668 + 0.789565i \(0.710306\pi\)
\(558\) −13.7696 + 1.98851i −0.582913 + 0.0841806i
\(559\) 4.46005i 0.188640i
\(560\) −30.5987 9.19111i −1.29303 0.388395i
\(561\) 0.224551i 0.00948057i
\(562\) −3.97220 27.5058i −0.167557 1.16026i
\(563\) −15.0810 11.5721i −0.635590 0.487705i 0.239992 0.970775i \(-0.422855\pi\)
−0.875582 + 0.483070i \(0.839522\pi\)
\(564\) −0.731520 0.905452i −0.0308025 0.0381264i
\(565\) 17.0382 + 22.2046i 0.716803 + 0.934155i
\(566\) 7.05216 12.5758i 0.296424 0.528599i
\(567\) −12.5993 19.4673i −0.529121 0.817549i
\(568\) −22.3086 + 10.2384i −0.936047 + 0.429592i
\(569\) −3.27356 + 0.877147i −0.137235 + 0.0367719i −0.326783 0.945100i \(-0.605964\pi\)
0.189548 + 0.981871i \(0.439298\pi\)
\(570\) 1.73063 + 1.68782i 0.0724882 + 0.0706951i
\(571\) −3.74504 28.4464i −0.156725 1.19045i −0.871251 0.490837i \(-0.836691\pi\)
0.714526 0.699609i \(-0.246642\pi\)
\(572\) −0.164926 0.156866i −0.00689592 0.00655888i
\(573\) −0.432029 1.04301i −0.0180483 0.0435724i
\(574\) 7.78613 + 39.5817i 0.324987 + 1.65211i
\(575\) 12.5969 0.525325
\(576\) 10.3150 21.4376i 0.429791 0.893231i
\(577\) 2.58997 + 4.48596i 0.107822 + 0.186753i 0.914888 0.403709i \(-0.132279\pi\)
−0.807066 + 0.590462i \(0.798946\pi\)
\(578\) −23.9173 + 10.2596i −0.994829 + 0.426743i
\(579\) 0.607495 + 0.0799782i 0.0252466 + 0.00332378i
\(580\) 11.1512 46.2167i 0.463027 1.91905i
\(581\) 6.35960 + 13.3866i 0.263840 + 0.555369i
\(582\) 2.82403 0.794729i 0.117060 0.0329426i
\(583\) −0.140129 + 0.0375474i −0.00580354 + 0.00155505i
\(584\) 9.06013 12.7736i 0.374911 0.528574i
\(585\) 4.23606 + 1.13505i 0.175139 + 0.0469284i
\(586\) 8.29240 + 13.9563i 0.342556 + 0.576529i
\(587\) 11.2647 27.1953i 0.464942 1.12247i −0.501402 0.865215i \(-0.667182\pi\)
0.966344 0.257255i \(-0.0828179\pi\)
\(588\) −2.18810 0.596252i −0.0902358 0.0245890i
\(589\) −10.6828 + 4.42498i −0.440179 + 0.182328i
\(590\) −6.74912 46.7347i −0.277857 1.92404i
\(591\) −0.327169 + 0.188891i −0.0134579 + 0.00776995i
\(592\) −5.91069 + 16.5716i −0.242928 + 0.681088i
\(593\) 22.2794 + 12.8630i 0.914906 + 0.528221i 0.882006 0.471238i \(-0.156193\pi\)
0.0328994 + 0.999459i \(0.489526\pi\)
\(594\) 0.197245 + 0.250496i 0.00809305 + 0.0102780i
\(595\) 44.7739 + 15.9335i 1.83555 + 0.653209i
\(596\) 25.3895 34.8624i 1.04000 1.42802i
\(597\) −1.35292 1.76316i −0.0553715 0.0721615i
\(598\) −0.0264884 2.11520i −0.00108319 0.0864970i
\(599\) 34.2524 + 9.17789i 1.39951 + 0.374998i 0.878170 0.478349i \(-0.158764\pi\)
0.521343 + 0.853347i \(0.325431\pi\)
\(600\) −1.80107 + 0.555887i −0.0735286 + 0.0226940i
\(601\) 23.2564 + 23.2564i 0.948647 + 0.948647i 0.998744 0.0500977i \(-0.0159533\pi\)
−0.0500977 + 0.998744i \(0.515953\pi\)
\(602\) 18.9191 + 28.4448i 0.771087 + 1.15932i
\(603\) −5.12479 2.12276i −0.208698 0.0864454i
\(604\) 0.0847302 + 3.38248i 0.00344762 + 0.137631i
\(605\) −20.1161 + 26.2158i −0.817835 + 1.06582i
\(606\) 0.445379 + 1.03827i 0.0180923 + 0.0421770i
\(607\) −8.39340 + 14.5378i −0.340678 + 0.590071i −0.984559 0.175055i \(-0.943990\pi\)
0.643881 + 0.765126i \(0.277323\pi\)
\(608\) 3.91248 19.3817i 0.158672 0.786030i
\(609\) 0.706779 3.29995i 0.0286401 0.133721i
\(610\) 5.82560 + 0.692859i 0.235872 + 0.0280531i
\(611\) −1.74008 0.229086i −0.0703962 0.00926783i
\(612\) −16.9208 + 31.0801i −0.683984 + 1.25634i
\(613\) −2.68416 20.3882i −0.108412 0.823472i −0.956113 0.292998i \(-0.905347\pi\)
0.847701 0.530475i \(-0.177986\pi\)
\(614\) −37.4245 9.52724i −1.51033 0.384488i
\(615\) 3.72825 + 3.72825i 0.150337 + 0.150337i
\(616\) −1.71726 0.300837i −0.0691904 0.0121211i
\(617\) −1.22886 + 1.22886i −0.0494719 + 0.0494719i −0.731410 0.681938i \(-0.761137\pi\)
0.681938 + 0.731410i \(0.261137\pi\)
\(618\) 0.904104 0.537190i 0.0363684 0.0216090i
\(619\) 11.2272 1.47809i 0.451260 0.0594095i 0.0985287 0.995134i \(-0.468586\pi\)
0.352731 + 0.935725i \(0.385253\pi\)
\(620\) 2.11040 19.8622i 0.0847558 0.797684i
\(621\) −0.386766 + 2.93778i −0.0155204 + 0.117889i
\(622\) 9.63557 + 12.2369i 0.386351 + 0.490657i
\(623\) 9.27720 + 28.7037i 0.371683 + 1.14999i
\(624\) 0.0971290 + 0.301258i 0.00388827 + 0.0120600i
\(625\) 24.8076 + 14.3227i 0.992305 + 0.572908i
\(626\) 39.7611 + 15.8893i 1.58917 + 0.635062i
\(627\) 0.104654 + 0.0803037i 0.00417947 + 0.00320702i
\(628\) −34.0419 13.1118i −1.35842 0.523219i
\(629\) 10.0153 24.1791i 0.399336 0.964083i
\(630\) 31.8310 10.7300i 1.26818 0.427494i
\(631\) −16.3051 + 16.3051i −0.649097 + 0.649097i −0.952775 0.303678i \(-0.901785\pi\)
0.303678 + 0.952775i \(0.401785\pi\)
\(632\) −32.0852 + 26.5926i −1.27628 + 1.05780i
\(633\) −0.492059 + 1.83639i −0.0195576 + 0.0729899i
\(634\) −7.75068 7.55896i −0.307819 0.300205i
\(635\) 43.3081 33.2315i 1.71863 1.31875i
\(636\) 0.196116 + 0.0473189i 0.00777651 + 0.00187632i
\(637\) −3.01013 + 1.62230i −0.119266 + 0.0642777i
\(638\) 0.306394 2.57618i 0.0121302 0.101992i
\(639\) 12.9035 22.3496i 0.510455 0.884135i
\(640\) 26.1729 + 21.9443i 1.03458 + 0.867427i
\(641\) −3.07925 5.33342i −0.121623 0.210657i 0.798785 0.601617i \(-0.205477\pi\)
−0.920408 + 0.390959i \(0.872143\pi\)
\(642\) 3.71220 + 2.77532i 0.146509 + 0.109533i
\(643\) 5.12564 + 12.3744i 0.202135 + 0.487998i 0.992145 0.125097i \(-0.0399242\pi\)
−0.790009 + 0.613095i \(0.789924\pi\)
\(644\) −9.14144 13.3777i −0.360223 0.527157i
\(645\) 4.12515 + 1.70869i 0.162427 + 0.0672797i
\(646\) −7.25597 + 28.5026i −0.285482 + 1.12142i
\(647\) −3.27222 + 12.2121i −0.128644 + 0.480106i −0.999943 0.0106459i \(-0.996611\pi\)
0.871299 + 0.490752i \(0.163278\pi\)
\(648\) 4.15652 + 24.4388i 0.163284 + 0.960049i
\(649\) −0.666894 2.48888i −0.0261779 0.0976972i
\(650\) −1.39008 + 2.47886i −0.0545234 + 0.0972290i
\(651\) 0.113435 1.41329i 0.00444585 0.0553911i
\(652\) 2.63638 + 16.7686i 0.103248 + 0.656710i
\(653\) 2.34048 17.7777i 0.0915902 0.695697i −0.882625 0.470077i \(-0.844226\pi\)
0.974215 0.225620i \(-0.0724406\pi\)
\(654\) 0.0267368 + 0.0106845i 0.00104549 + 0.000417797i
\(655\) 52.5296 30.3280i 2.05250 1.18501i
\(656\) 9.06208 42.1627i 0.353815 1.64618i
\(657\) 16.4651i 0.642366i
\(658\) −12.0695 + 5.92024i −0.470517 + 0.230795i
\(659\) −24.0460 + 9.96017i −0.936699 + 0.387993i −0.798216 0.602372i \(-0.794223\pi\)
−0.138483 + 0.990365i \(0.544223\pi\)
\(660\) −0.208272 + 0.0924454i −0.00810697 + 0.00359843i
\(661\) 24.2116 3.18752i 0.941723 0.123980i 0.355995 0.934488i \(-0.384142\pi\)
0.585728 + 0.810508i \(0.300809\pi\)
\(662\) −0.259960 20.7588i −0.0101036 0.806813i
\(663\) −0.121861 0.454793i −0.00473271 0.0176627i
\(664\) −0.595055 15.8325i −0.0230926 0.614421i
\(665\) 23.4379 15.1691i 0.908881 0.588232i
\(666\) −5.01104 17.8065i −0.194174 0.689988i
\(667\) 19.1285 14.6778i 0.740660 0.568328i
\(668\) 15.3007 28.1041i 0.592000 1.08738i
\(669\) 1.82736 2.38146i 0.0706498 0.0920726i
\(670\) 4.76858 6.37834i 0.184226 0.246417i
\(671\) 0.320133 0.0123586
\(672\) 1.89737 + 1.50932i 0.0731927 + 0.0582233i
\(673\) −21.0532 −0.811541 −0.405770 0.913975i \(-0.632997\pi\)
−0.405770 + 0.913975i \(0.632997\pi\)
\(674\) −12.3048 + 16.4586i −0.473963 + 0.633963i
\(675\) 2.42348 3.15835i 0.0932799 0.121565i
\(676\) −22.4160 12.2039i −0.862153 0.469379i
\(677\) 7.37913 5.66220i 0.283603 0.217616i −0.457157 0.889386i \(-0.651132\pi\)
0.740760 + 0.671770i \(0.234466\pi\)
\(678\) −0.575351 2.04448i −0.0220962 0.0785178i
\(679\) −1.72072 33.8376i −0.0660351 1.29857i
\(680\) −37.2490 34.5505i −1.42844 1.32495i
\(681\) −0.883455 3.29710i −0.0338541 0.126345i
\(682\) −0.0136482 1.08986i −0.000522615 0.0417328i
\(683\) 24.9846 3.28929i 0.956010 0.125861i 0.363651 0.931535i \(-0.381530\pi\)
0.592359 + 0.805674i \(0.298197\pi\)
\(684\) 8.43391 + 19.0009i 0.322478 + 0.726517i
\(685\) 31.1875 12.9183i 1.19161 0.493582i
\(686\) −12.3161 + 23.1152i −0.470230 + 0.882544i
\(687\) 0.541627i 0.0206643i
\(688\) −6.57380 35.9242i −0.250624 1.36960i
\(689\) 0.263432 0.152093i 0.0100360 0.00579426i
\(690\) −1.96652 0.785857i −0.0748642 0.0299170i
\(691\) 2.07939 15.7945i 0.0791037 0.600852i −0.905280 0.424816i \(-0.860339\pi\)
0.984384 0.176037i \(-0.0563277\pi\)
\(692\) 10.3230 1.62299i 0.392422 0.0616968i
\(693\) 1.65565 0.786556i 0.0628931 0.0298788i
\(694\) −9.41321 + 16.7861i −0.357321 + 0.637193i
\(695\) 0.248639 + 0.927933i 0.00943142 + 0.0351985i
\(696\) −2.08724 + 2.94273i −0.0791167 + 0.111544i
\(697\) −16.6030 + 61.9633i −0.628884 + 2.34703i
\(698\) −3.16437 + 12.4301i −0.119773 + 0.470488i
\(699\) 0.0183330 + 0.00759379i 0.000693419 + 0.000287223i
\(700\) 1.64963 + 21.7060i 0.0623502 + 0.820411i
\(701\) 3.98717 + 9.62588i 0.150593 + 0.363564i 0.981116 0.193420i \(-0.0619581\pi\)
−0.830523 + 0.556985i \(0.811958\pi\)
\(702\) −0.535429 0.400298i −0.0202085 0.0151083i
\(703\) −7.68718 13.3146i −0.289927 0.502169i
\(704\) 1.55964 + 1.02041i 0.0587810 + 0.0384581i
\(705\) −0.878528 + 1.52166i −0.0330873 + 0.0573088i
\(706\) 3.13014 26.3184i 0.117805 0.990507i
\(707\) 12.8328 2.35782i 0.482626 0.0886751i
\(708\) −0.840450 + 3.48330i −0.0315861 + 0.130910i
\(709\) −38.9595 + 29.8946i −1.46315 + 1.12272i −0.496062 + 0.868287i \(0.665221\pi\)
−0.967091 + 0.254430i \(0.918112\pi\)
\(710\) 26.5250 + 25.8689i 0.995465 + 0.970841i
\(711\) 11.3399 42.3212i 0.425280 1.58717i
\(712\) 3.00548 32.1082i 0.112635 1.20330i
\(713\) 7.16272 7.16272i 0.268246 0.268246i
\(714\) −2.70639 2.38360i −0.101284 0.0892041i
\(715\) −0.131479 + 0.317419i −0.00491705 + 0.0118708i
\(716\) 15.7538 40.9013i 0.588749 1.52855i
\(717\) −1.94212 1.49024i −0.0725297 0.0556540i
\(718\) −21.3538 8.53334i −0.796915 0.318461i
\(719\) 20.4741 + 11.8207i 0.763553 + 0.440838i 0.830570 0.556914i \(-0.188015\pi\)
−0.0670168 + 0.997752i \(0.521348\pi\)
\(720\) −35.7930 2.89877i −1.33393 0.108031i
\(721\) −3.73523 11.5568i −0.139107 0.430399i
\(722\) −5.93412 7.53619i −0.220845 0.280468i
\(723\) 0.188586 1.43245i 0.00701358 0.0532735i
\(724\) −40.7681 4.33171i −1.51514 0.160987i
\(725\) −32.1163 + 4.22819i −1.19277 + 0.157031i
\(726\) 2.15575 1.28088i 0.0800073 0.0475379i
\(727\) 23.1640 23.1640i 0.859107 0.859107i −0.132126 0.991233i \(-0.542180\pi\)
0.991233 + 0.132126i \(0.0421804\pi\)
\(728\) 3.64130 0.322641i 0.134956 0.0119579i
\(729\) −18.0972 18.0972i −0.670266 0.670266i
\(730\) −22.9082 5.83179i −0.847870 0.215844i
\(731\) 7.09076 + 53.8597i 0.262261 + 1.99207i
\(732\) −0.391001 0.212871i −0.0144518 0.00786795i
\(733\) 31.0005 + 4.08130i 1.14503 + 0.150746i 0.679080 0.734064i \(-0.262379\pi\)
0.465951 + 0.884811i \(0.345712\pi\)
\(734\) −10.8093 1.28559i −0.398980 0.0474521i
\(735\) 0.347265 + 3.40563i 0.0128091 + 0.125618i
\(736\) 3.33102 + 16.9982i 0.122783 + 0.626561i
\(737\) 0.217286 0.376350i 0.00800382 0.0138630i
\(738\) 17.8746 + 41.6695i 0.657973 + 1.53387i
\(739\) −18.8048 + 24.5069i −0.691746 + 0.901501i −0.998739 0.0502111i \(-0.984011\pi\)
0.306993 + 0.951712i \(0.400677\pi\)
\(740\) 26.5493 0.665053i 0.975972 0.0244478i
\(741\) −0.255540 0.105848i −0.00938748 0.00388842i
\(742\) 1.03492 2.08746i 0.0379933 0.0766329i
\(743\) −11.1632 11.1632i −0.409537 0.409537i 0.472040 0.881577i \(-0.343518\pi\)
−0.881577 + 0.472040i \(0.843518\pi\)
\(744\) −0.708028 + 1.34020i −0.0259576 + 0.0491339i
\(745\) −62.8816 16.8491i −2.30380 0.617303i
\(746\) 0.0309170 + 2.46884i 0.00113195 + 0.0903906i
\(747\) 10.1406 + 13.2155i 0.371026 + 0.483530i
\(748\) −2.24105 1.63211i −0.0819409 0.0596758i
\(749\) 40.7574 34.7009i 1.48924 1.26794i
\(750\) −0.379136 0.481493i −0.0138441 0.0175816i
\(751\) 21.7475 + 12.5559i 0.793578 + 0.458172i 0.841221 0.540692i \(-0.181838\pi\)
−0.0476427 + 0.998864i \(0.515171\pi\)
\(752\) 14.3534 0.719550i 0.523416 0.0262393i
\(753\) −1.84884 + 1.06743i −0.0673755 + 0.0388993i
\(754\) 0.777510 + 5.38391i 0.0283152 + 0.196071i
\(755\) 4.71856 1.95449i 0.171726 0.0711312i
\(756\) −5.11283 0.281730i −0.185952 0.0102464i
\(757\) 13.2979 32.1039i 0.483320 1.16684i −0.474703 0.880146i \(-0.657445\pi\)
0.958023 0.286691i \(-0.0925554\pi\)
\(758\) −2.74988 4.62811i −0.0998801 0.168101i
\(759\) −0.111623 0.0299093i −0.00405165 0.00108564i
\(760\) −29.4234 + 5.00429i −1.06730 + 0.181525i
\(761\) −41.3619 + 11.0829i −1.49937 + 0.401754i −0.912888 0.408209i \(-0.866153\pi\)
−0.586480 + 0.809964i \(0.699487\pi\)
\(762\) −3.98757 + 1.12217i −0.144455 + 0.0406519i
\(763\) 0.188768 0.273749i 0.00683387 0.00991037i
\(764\) 13.5495 + 3.26922i 0.490203 + 0.118276i
\(765\) 52.9593 + 6.97223i 1.91475 + 0.252081i
\(766\) 25.0811 10.7588i 0.906215 0.388732i
\(767\) 2.70138 + 4.67892i 0.0975410 + 0.168946i
\(768\) −1.22638 2.28337i −0.0442530 0.0823941i
\(769\) −38.3304 −1.38223 −0.691115 0.722744i \(-0.742880\pi\)
−0.691115 + 0.722744i \(0.742880\pi\)
\(770\) 0.507931 + 2.58213i 0.0183046 + 0.0930534i
\(771\) −0.430136 1.03844i −0.0154910 0.0373986i
\(772\) −5.21365 + 5.48156i