Properties

Label 144.2.x.e.85.6
Level $144$
Weight $2$
Character 144.85
Analytic conductor $1.150$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.x (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(18\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 85.6
Character \(\chi\) \(=\) 144.85
Dual form 144.2.x.e.61.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.812713 - 1.15737i) q^{2} +(-0.460673 - 1.66966i) q^{3} +(-0.678997 + 1.88121i) q^{4} +(-2.69708 + 0.722679i) q^{5} +(-1.55802 + 1.89013i) q^{6} +(-2.89314 + 1.67035i) q^{7} +(2.72908 - 0.743037i) q^{8} +(-2.57556 + 1.53834i) q^{9} +O(q^{10})\) \(q+(-0.812713 - 1.15737i) q^{2} +(-0.460673 - 1.66966i) q^{3} +(-0.678997 + 1.88121i) q^{4} +(-2.69708 + 0.722679i) q^{5} +(-1.55802 + 1.89013i) q^{6} +(-2.89314 + 1.67035i) q^{7} +(2.72908 - 0.743037i) q^{8} +(-2.57556 + 1.53834i) q^{9} +(3.02835 + 2.53418i) q^{10} +(1.23365 - 4.60405i) q^{11} +(3.45379 + 0.267072i) q^{12} +(0.398486 + 1.48717i) q^{13} +(4.28450 + 1.99090i) q^{14} +(2.44910 + 4.17029i) q^{15} +(-3.07793 - 2.55468i) q^{16} -6.47719 q^{17} +(3.87361 + 1.73064i) q^{18} +(0.957336 - 0.957336i) q^{19} +(0.471792 - 5.56447i) q^{20} +(4.12172 + 4.06108i) q^{21} +(-6.33117 + 2.31398i) q^{22} +(-3.70277 - 2.13780i) q^{23} +(-2.49784 - 4.21436i) q^{24} +(2.42183 - 1.39824i) q^{25} +(1.39735 - 1.66984i) q^{26} +(3.75500 + 3.59165i) q^{27} +(-1.17786 - 6.57677i) q^{28} +(-1.07893 - 0.289099i) q^{29} +(2.83614 - 6.22376i) q^{30} +(1.89670 - 3.28518i) q^{31} +(-0.455227 + 5.63851i) q^{32} +(-8.25552 + 0.0611777i) q^{33} +(5.26409 + 7.49649i) q^{34} +(6.59588 - 6.59588i) q^{35} +(-1.14515 - 5.88971i) q^{36} +(-6.14639 - 6.14639i) q^{37} +(-1.88603 - 0.329950i) q^{38} +(2.29950 - 1.35044i) q^{39} +(-6.82357 + 3.97628i) q^{40} +(5.04156 + 2.91075i) q^{41} +(1.35039 - 8.07084i) q^{42} +(1.69287 - 6.31788i) q^{43} +(7.82355 + 5.44689i) q^{44} +(5.83476 - 6.01032i) q^{45} +(0.535074 + 6.02288i) q^{46} +(1.81739 + 3.14781i) q^{47} +(-2.84753 + 6.31598i) q^{48} +(2.08016 - 3.60295i) q^{49} +(-3.58653 - 1.66657i) q^{50} +(2.98387 + 10.8147i) q^{51} +(-3.06826 - 0.260146i) q^{52} +(0.762460 + 0.762460i) q^{53} +(1.10512 - 7.26490i) q^{54} +13.3090i q^{55} +(-6.65448 + 6.70824i) q^{56} +(-2.03945 - 1.15741i) q^{57} +(0.542268 + 1.48367i) q^{58} +(-8.11476 + 2.17434i) q^{59} +(-9.50814 + 1.77567i) q^{60} +(6.74711 + 1.80788i) q^{61} +(-5.34363 + 0.474729i) q^{62} +(4.88188 - 8.75272i) q^{63} +(6.89579 - 4.05562i) q^{64} +(-2.14950 - 3.72304i) q^{65} +(6.78017 + 9.50495i) q^{66} +(-0.487339 - 1.81878i) q^{67} +(4.39799 - 12.1850i) q^{68} +(-1.86364 + 7.16721i) q^{69} +(-12.9944 - 2.27330i) q^{70} +3.98472i q^{71} +(-5.88588 + 6.11199i) q^{72} +5.45461i q^{73} +(-2.11838 + 12.1089i) q^{74} +(-3.45027 - 3.39951i) q^{75} +(1.15092 + 2.45098i) q^{76} +(4.12126 + 15.3808i) q^{77} +(-3.43179 - 1.56385i) q^{78} +(-2.95225 - 5.11344i) q^{79} +(10.1476 + 4.66580i) q^{80} +(4.26702 - 7.92417i) q^{81} +(-0.728538 - 8.20053i) q^{82} +(-10.3428 - 2.77135i) q^{83} +(-10.4384 + 4.99638i) q^{84} +(17.4695 - 4.68093i) q^{85} +(-8.68792 + 3.17535i) q^{86} +(0.0143366 + 1.93463i) q^{87} +(-0.0542436 - 13.4815i) q^{88} +2.24307i q^{89} +(-11.6981 - 1.86829i) q^{90} +(-3.63698 - 3.63698i) q^{91} +(6.53582 - 5.51415i) q^{92} +(-6.35891 - 1.65346i) q^{93} +(2.16615 - 4.66165i) q^{94} +(-1.89016 + 3.27385i) q^{95} +(9.62413 - 1.83743i) q^{96} +(6.50191 + 11.2616i) q^{97} +(-5.86050 + 0.520649i) q^{98} +(3.90524 + 13.7558i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} + O(q^{10}) \) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} - 20q^{10} - 2q^{11} + 8q^{12} - 16q^{13} - 4q^{14} - 20q^{15} - 10q^{16} - 16q^{17} + 28q^{19} + 12q^{20} - 16q^{21} - 8q^{22} - 40q^{24} - 4q^{26} + 8q^{27} - 16q^{28} + 4q^{29} + 18q^{30} + 28q^{31} - 46q^{32} - 32q^{33} - 14q^{34} - 16q^{35} + 14q^{36} + 16q^{37} + 2q^{38} - 10q^{40} + 26q^{42} - 10q^{43} + 60q^{44} + 40q^{45} + 20q^{46} - 56q^{47} + 2q^{48} + 4q^{49} - 36q^{50} - 54q^{51} + 6q^{52} - 8q^{53} + 92q^{54} + 52q^{56} - 14q^{58} - 14q^{59} + 18q^{60} - 32q^{61} + 16q^{62} - 108q^{63} - 44q^{64} - 64q^{65} + 26q^{66} - 18q^{67} + 16q^{68} + 32q^{69} + 14q^{70} + 114q^{72} + 38q^{74} + 86q^{75} + 10q^{76} - 36q^{77} + 16q^{78} + 44q^{79} + 144q^{80} - 44q^{81} - 88q^{82} + 20q^{83} - 58q^{84} - 8q^{85} + 76q^{86} - 42q^{88} - 80q^{91} - 68q^{92} - 4q^{93} + 20q^{94} + 48q^{95} + 94q^{96} + 40q^{97} + 88q^{98} + 28q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{3}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.812713 1.15737i −0.574675 0.818382i
\(3\) −0.460673 1.66966i −0.265970 0.963981i
\(4\) −0.678997 + 1.88121i −0.339498 + 0.940607i
\(5\) −2.69708 + 0.722679i −1.20617 + 0.323192i −0.805258 0.592925i \(-0.797973\pi\)
−0.400911 + 0.916117i \(0.631306\pi\)
\(6\) −1.55802 + 1.89013i −0.636059 + 0.771640i
\(7\) −2.89314 + 1.67035i −1.09350 + 0.631334i −0.934507 0.355945i \(-0.884159\pi\)
−0.158996 + 0.987279i \(0.550826\pi\)
\(8\) 2.72908 0.743037i 0.964877 0.262703i
\(9\) −2.57556 + 1.53834i −0.858520 + 0.512780i
\(10\) 3.02835 + 2.53418i 0.957649 + 0.801377i
\(11\) 1.23365 4.60405i 0.371960 1.38817i −0.485777 0.874083i \(-0.661463\pi\)
0.857737 0.514089i \(-0.171870\pi\)
\(12\) 3.45379 + 0.267072i 0.997024 + 0.0770971i
\(13\) 0.398486 + 1.48717i 0.110520 + 0.412467i 0.998913 0.0466175i \(-0.0148442\pi\)
−0.888393 + 0.459084i \(0.848178\pi\)
\(14\) 4.28450 + 1.99090i 1.14508 + 0.532092i
\(15\) 2.44910 + 4.17029i 0.632356 + 1.07677i
\(16\) −3.07793 2.55468i −0.769482 0.638669i
\(17\) −6.47719 −1.57095 −0.785475 0.618894i \(-0.787581\pi\)
−0.785475 + 0.618894i \(0.787581\pi\)
\(18\) 3.87361 + 1.73064i 0.913019 + 0.407916i
\(19\) 0.957336 0.957336i 0.219628 0.219628i −0.588714 0.808342i \(-0.700365\pi\)
0.808342 + 0.588714i \(0.200365\pi\)
\(20\) 0.471792 5.56447i 0.105496 1.24425i
\(21\) 4.12172 + 4.06108i 0.899433 + 0.886201i
\(22\) −6.33117 + 2.31398i −1.34981 + 0.493342i
\(23\) −3.70277 2.13780i −0.772081 0.445761i 0.0615352 0.998105i \(-0.480400\pi\)
−0.833617 + 0.552343i \(0.813734\pi\)
\(24\) −2.49784 4.21436i −0.509869 0.860252i
\(25\) 2.42183 1.39824i 0.484365 0.279648i
\(26\) 1.39735 1.66984i 0.274042 0.327482i
\(27\) 3.75500 + 3.59165i 0.722651 + 0.691214i
\(28\) −1.17786 6.57677i −0.222595 1.24289i
\(29\) −1.07893 0.289099i −0.200353 0.0536843i 0.157247 0.987559i \(-0.449738\pi\)
−0.357600 + 0.933875i \(0.616405\pi\)
\(30\) 2.83614 6.22376i 0.517807 1.13630i
\(31\) 1.89670 3.28518i 0.340657 0.590036i −0.643898 0.765112i \(-0.722684\pi\)
0.984555 + 0.175076i \(0.0560171\pi\)
\(32\) −0.455227 + 5.63851i −0.0804734 + 0.996757i
\(33\) −8.25552 + 0.0611777i −1.43710 + 0.0106497i
\(34\) 5.26409 + 7.49649i 0.902785 + 1.28564i
\(35\) 6.59588 6.59588i 1.11491 1.11491i
\(36\) −1.14515 5.88971i −0.190858 0.981618i
\(37\) −6.14639 6.14639i −1.01046 1.01046i −0.999945 0.0105160i \(-0.996653\pi\)
−0.0105160 0.999945i \(-0.503347\pi\)
\(38\) −1.88603 0.329950i −0.305954 0.0535249i
\(39\) 2.29950 1.35044i 0.368215 0.216243i
\(40\) −6.82357 + 3.97628i −1.07890 + 0.628705i
\(41\) 5.04156 + 2.91075i 0.787359 + 0.454582i 0.839032 0.544082i \(-0.183122\pi\)
−0.0516729 + 0.998664i \(0.516455\pi\)
\(42\) 1.35039 8.07084i 0.208369 1.24536i
\(43\) 1.69287 6.31788i 0.258160 0.963468i −0.708144 0.706068i \(-0.750467\pi\)
0.966305 0.257400i \(-0.0828659\pi\)
\(44\) 7.82355 + 5.44689i 1.17944 + 0.821150i
\(45\) 5.83476 6.01032i 0.869794 0.895966i
\(46\) 0.535074 + 6.02288i 0.0788924 + 0.888025i
\(47\) 1.81739 + 3.14781i 0.265093 + 0.459155i 0.967588 0.252534i \(-0.0812639\pi\)
−0.702495 + 0.711689i \(0.747931\pi\)
\(48\) −2.84753 + 6.31598i −0.411006 + 0.911633i
\(49\) 2.08016 3.60295i 0.297166 0.514707i
\(50\) −3.58653 1.66657i −0.507212 0.235689i
\(51\) 2.98387 + 10.8147i 0.417825 + 1.51437i
\(52\) −3.06826 0.260146i −0.425491 0.0360758i
\(53\) 0.762460 + 0.762460i 0.104732 + 0.104732i 0.757531 0.652799i \(-0.226405\pi\)
−0.652799 + 0.757531i \(0.726405\pi\)
\(54\) 1.10512 7.26490i 0.150388 0.988627i
\(55\) 13.3090i 1.79458i
\(56\) −6.65448 + 6.70824i −0.889242 + 0.896427i
\(57\) −2.03945 1.15741i −0.270132 0.153303i
\(58\) 0.542268 + 1.48367i 0.0712033 + 0.194816i
\(59\) −8.11476 + 2.17434i −1.05645 + 0.283075i −0.744915 0.667159i \(-0.767510\pi\)
−0.311536 + 0.950234i \(0.600844\pi\)
\(60\) −9.50814 + 1.77567i −1.22750 + 0.229238i
\(61\) 6.74711 + 1.80788i 0.863879 + 0.231476i 0.663439 0.748230i \(-0.269096\pi\)
0.200440 + 0.979706i \(0.435763\pi\)
\(62\) −5.34363 + 0.474729i −0.678641 + 0.0602907i
\(63\) 4.88188 8.75272i 0.615059 1.10274i
\(64\) 6.89579 4.05562i 0.861974 0.506953i
\(65\) −2.14950 3.72304i −0.266612 0.461786i
\(66\) 6.78017 + 9.50495i 0.834581 + 1.16998i
\(67\) −0.487339 1.81878i −0.0595380 0.222199i 0.929746 0.368201i \(-0.120026\pi\)
−0.989284 + 0.146002i \(0.953359\pi\)
\(68\) 4.39799 12.1850i 0.533335 1.47765i
\(69\) −1.86364 + 7.16721i −0.224355 + 0.862831i
\(70\) −12.9944 2.27330i −1.55313 0.271711i
\(71\) 3.98472i 0.472899i 0.971644 + 0.236450i \(0.0759838\pi\)
−0.971644 + 0.236450i \(0.924016\pi\)
\(72\) −5.88588 + 6.11199i −0.693657 + 0.720305i
\(73\) 5.45461i 0.638414i 0.947685 + 0.319207i \(0.103417\pi\)
−0.947685 + 0.319207i \(0.896583\pi\)
\(74\) −2.11838 + 12.1089i −0.246257 + 1.40763i
\(75\) −3.45027 3.39951i −0.398402 0.392541i
\(76\) 1.15092 + 2.45098i 0.132020 + 0.281147i
\(77\) 4.12126 + 15.3808i 0.469662 + 1.75280i
\(78\) −3.43179 1.56385i −0.388574 0.177071i
\(79\) −2.95225 5.11344i −0.332154 0.575307i 0.650780 0.759266i \(-0.274442\pi\)
−0.982934 + 0.183959i \(0.941109\pi\)
\(80\) 10.1476 + 4.66580i 1.13454 + 0.521652i
\(81\) 4.26702 7.92417i 0.474114 0.880464i
\(82\) −0.728538 8.20053i −0.0804535 0.905597i
\(83\) −10.3428 2.77135i −1.13527 0.304195i −0.358223 0.933636i \(-0.616617\pi\)
−0.777048 + 0.629441i \(0.783284\pi\)
\(84\) −10.4384 + 4.99638i −1.13892 + 0.545149i
\(85\) 17.4695 4.68093i 1.89483 0.507718i
\(86\) −8.68792 + 3.17535i −0.936843 + 0.342407i
\(87\) 0.0143366 + 1.93463i 0.00153705 + 0.207415i
\(88\) −0.0542436 13.4815i −0.00578239 1.43713i
\(89\) 2.24307i 0.237765i 0.992908 + 0.118883i \(0.0379312\pi\)
−0.992908 + 0.118883i \(0.962069\pi\)
\(90\) −11.6981 1.86829i −1.23309 0.196935i
\(91\) −3.63698 3.63698i −0.381259 0.381259i
\(92\) 6.53582 5.51415i 0.681407 0.574890i
\(93\) −6.35891 1.65346i −0.659388 0.171456i
\(94\) 2.16615 4.66165i 0.223422 0.480812i
\(95\) −1.89016 + 3.27385i −0.193926 + 0.335890i
\(96\) 9.62413 1.83743i 0.982258 0.187532i
\(97\) 6.50191 + 11.2616i 0.660169 + 1.14345i 0.980571 + 0.196165i \(0.0628488\pi\)
−0.320402 + 0.947282i \(0.603818\pi\)
\(98\) −5.86050 + 0.520649i −0.592000 + 0.0525935i
\(99\) 3.90524 + 13.7558i 0.392492 + 1.38251i
\(100\) 0.985980 + 5.50537i 0.0985980 + 0.550537i
\(101\) −2.36072 + 8.81034i −0.234901 + 0.876662i 0.743293 + 0.668966i \(0.233263\pi\)
−0.978194 + 0.207696i \(0.933404\pi\)
\(102\) 10.0916 12.2427i 0.999216 1.21221i
\(103\) −3.73262 2.15503i −0.367786 0.212342i 0.304705 0.952447i \(-0.401442\pi\)
−0.672491 + 0.740105i \(0.734776\pi\)
\(104\) 2.19253 + 3.76252i 0.214995 + 0.368946i
\(105\) −14.0515 7.97436i −1.37128 0.778218i
\(106\) 0.262785 1.50211i 0.0255239 0.145897i
\(107\) 0.0516852 + 0.0516852i 0.00499659 + 0.00499659i 0.709601 0.704604i \(-0.248875\pi\)
−0.704604 + 0.709601i \(0.748875\pi\)
\(108\) −9.30630 + 4.62524i −0.895499 + 0.445064i
\(109\) 5.73510 5.73510i 0.549323 0.549323i −0.376922 0.926245i \(-0.623018\pi\)
0.926245 + 0.376922i \(0.123018\pi\)
\(110\) 15.4034 10.8164i 1.46866 1.03130i
\(111\) −7.43094 + 13.0939i −0.705313 + 1.24282i
\(112\) 13.1721 + 2.24980i 1.24464 + 0.212586i
\(113\) 7.13575 12.3595i 0.671275 1.16268i −0.306268 0.951945i \(-0.599080\pi\)
0.977543 0.210737i \(-0.0675862\pi\)
\(114\) 0.317936 + 3.30103i 0.0297775 + 0.309170i
\(115\) 11.5316 + 3.08988i 1.07533 + 0.288133i
\(116\) 1.27645 1.83340i 0.118515 0.170227i
\(117\) −3.31410 3.21729i −0.306389 0.297439i
\(118\) 9.11148 + 7.62464i 0.838780 + 0.701905i
\(119\) 18.7394 10.8192i 1.71784 0.991794i
\(120\) 9.78249 + 9.56130i 0.893015 + 0.872824i
\(121\) −10.1491 5.85956i −0.922642 0.532688i
\(122\) −3.39108 9.27818i −0.307014 0.840007i
\(123\) 2.53746 9.75861i 0.228795 0.879905i
\(124\) 4.89227 + 5.79872i 0.439339 + 0.520740i
\(125\) 4.35061 4.35061i 0.389131 0.389131i
\(126\) −14.0977 + 1.46332i −1.25592 + 0.130363i
\(127\) −16.2634 −1.44315 −0.721573 0.692338i \(-0.756581\pi\)
−0.721573 + 0.692338i \(0.756581\pi\)
\(128\) −10.2981 4.68491i −0.910235 0.414091i
\(129\) −11.3286 + 0.0839508i −0.997428 + 0.00739146i
\(130\) −2.56200 + 5.51351i −0.224702 + 0.483567i
\(131\) −4.58345 17.1057i −0.400458 1.49453i −0.812281 0.583267i \(-0.801774\pi\)
0.411822 0.911264i \(-0.364892\pi\)
\(132\) 5.49038 15.5719i 0.477877 1.35536i
\(133\) −1.17061 + 4.36879i −0.101505 + 0.378822i
\(134\) −1.70892 + 2.04217i −0.147629 + 0.176417i
\(135\) −12.7231 6.97329i −1.09503 0.600166i
\(136\) −17.6768 + 4.81279i −1.51577 + 0.412694i
\(137\) −9.62551 + 5.55729i −0.822363 + 0.474791i −0.851231 0.524792i \(-0.824143\pi\)
0.0288677 + 0.999583i \(0.490810\pi\)
\(138\) 9.80970 3.66797i 0.835057 0.312239i
\(139\) 6.50347 1.74260i 0.551617 0.147805i 0.0277649 0.999614i \(-0.491161\pi\)
0.523852 + 0.851809i \(0.324494\pi\)
\(140\) 7.92968 + 16.8868i 0.670180 + 1.42720i
\(141\) 4.41856 4.48454i 0.372110 0.377666i
\(142\) 4.61178 3.23843i 0.387012 0.271763i
\(143\) 7.33859 0.613684
\(144\) 11.8573 + 1.84482i 0.988112 + 0.153735i
\(145\) 3.11889 0.259009
\(146\) 6.31299 4.43303i 0.522467 0.366880i
\(147\) −6.97399 1.81339i −0.575205 0.149566i
\(148\) 15.7361 7.38930i 1.29350 0.607396i
\(149\) −10.7583 + 2.88268i −0.881354 + 0.236158i −0.670991 0.741465i \(-0.734131\pi\)
−0.210363 + 0.977623i \(0.567465\pi\)
\(150\) −1.13040 + 6.75605i −0.0922969 + 0.551629i
\(151\) −18.9045 + 10.9145i −1.53842 + 0.888210i −0.539493 + 0.841990i \(0.681384\pi\)
−0.998931 + 0.0462196i \(0.985283\pi\)
\(152\) 1.90131 3.32398i 0.154217 0.269611i
\(153\) 16.6824 9.96412i 1.34869 0.805551i
\(154\) 14.4518 17.2700i 1.16456 1.39165i
\(155\) −2.74141 + 10.2311i −0.220195 + 0.821780i
\(156\) 0.979106 + 5.24280i 0.0783912 + 0.419760i
\(157\) −2.18429 8.15189i −0.174326 0.650592i −0.996666 0.0815954i \(-0.973998\pi\)
0.822340 0.568996i \(-0.192668\pi\)
\(158\) −3.51880 + 7.57259i −0.279941 + 0.602443i
\(159\) 0.921807 1.62430i 0.0731041 0.128815i
\(160\) −2.84705 15.5365i −0.225079 1.22827i
\(161\) 14.2835 1.12570
\(162\) −12.6390 + 1.50156i −0.993017 + 0.117974i
\(163\) −6.93193 + 6.93193i −0.542950 + 0.542950i −0.924393 0.381442i \(-0.875428\pi\)
0.381442 + 0.924393i \(0.375428\pi\)
\(164\) −8.89893 + 7.50786i −0.694890 + 0.586265i
\(165\) 22.2216 6.13110i 1.72995 0.477305i
\(166\) 5.19827 + 14.2227i 0.403464 + 1.10390i
\(167\) 7.33544 + 4.23512i 0.567633 + 0.327723i 0.756204 0.654336i \(-0.227052\pi\)
−0.188570 + 0.982060i \(0.560385\pi\)
\(168\) 14.2661 + 8.02044i 1.10065 + 0.618790i
\(169\) 9.20544 5.31477i 0.708111 0.408828i
\(170\) −19.6152 16.4143i −1.50442 1.25892i
\(171\) −0.992969 + 3.93838i −0.0759342 + 0.301176i
\(172\) 10.7358 + 7.47447i 0.818599 + 0.569923i
\(173\) −5.81815 1.55897i −0.442346 0.118526i 0.0307700 0.999526i \(-0.490204\pi\)
−0.473116 + 0.881000i \(0.656871\pi\)
\(174\) 2.22743 1.58889i 0.168861 0.120454i
\(175\) −4.67112 + 8.09061i −0.353103 + 0.611593i
\(176\) −15.5589 + 11.0193i −1.17280 + 0.830614i
\(177\) 7.36868 + 12.5473i 0.553864 + 0.943110i
\(178\) 2.59606 1.82297i 0.194583 0.136638i
\(179\) −8.34442 + 8.34442i −0.623692 + 0.623692i −0.946473 0.322782i \(-0.895382\pi\)
0.322782 + 0.946473i \(0.395382\pi\)
\(180\) 7.34492 + 15.0574i 0.547458 + 1.12231i
\(181\) −13.3444 13.3444i −0.991880 0.991880i 0.00808779 0.999967i \(-0.497426\pi\)
−0.999967 + 0.00808779i \(0.997426\pi\)
\(182\) −1.25350 + 7.16513i −0.0929156 + 0.531115i
\(183\) −0.0896544 12.0983i −0.00662744 0.894329i
\(184\) −11.6936 3.08293i −0.862066 0.227276i
\(185\) 21.0192 + 12.1354i 1.54536 + 0.892214i
\(186\) 3.25430 + 8.70337i 0.238617 + 0.638162i
\(187\) −7.99059 + 29.8213i −0.584330 + 2.18075i
\(188\) −7.15570 + 1.28154i −0.521883 + 0.0934661i
\(189\) −16.8631 4.11896i −1.22661 0.299610i
\(190\) 5.32521 0.473093i 0.386331 0.0343218i
\(191\) −0.892527 1.54590i −0.0645810 0.111858i 0.831927 0.554885i \(-0.187238\pi\)
−0.896508 + 0.443027i \(0.853904\pi\)
\(192\) −9.94823 9.64534i −0.717952 0.696093i
\(193\) −8.20588 + 14.2130i −0.590672 + 1.02307i 0.403470 + 0.914993i \(0.367804\pi\)
−0.994142 + 0.108081i \(0.965529\pi\)
\(194\) 7.74967 16.6776i 0.556394 1.19738i
\(195\) −5.22601 + 5.30404i −0.374242 + 0.379830i
\(196\) 5.36549 + 6.35962i 0.383249 + 0.454258i
\(197\) −3.44937 3.44937i −0.245758 0.245758i 0.573469 0.819227i \(-0.305597\pi\)
−0.819227 + 0.573469i \(0.805597\pi\)
\(198\) 12.7466 15.6993i 0.905864 1.11570i
\(199\) 15.0093i 1.06398i −0.846751 0.531990i \(-0.821444\pi\)
0.846751 0.531990i \(-0.178556\pi\)
\(200\) 5.57042 5.61543i 0.393888 0.397071i
\(201\) −2.81224 + 1.65155i −0.198360 + 0.116492i
\(202\) 12.1154 4.42805i 0.852436 0.311557i
\(203\) 3.60439 0.965795i 0.252979 0.0677855i
\(204\) −22.3709 1.72988i −1.56627 0.121116i
\(205\) −15.7010 4.20707i −1.09661 0.293835i
\(206\) 0.539388 + 6.07144i 0.0375809 + 0.423017i
\(207\) 12.8254 0.190096i 0.891425 0.0132126i
\(208\) 2.57273 5.59541i 0.178386 0.387972i
\(209\) −3.22660 5.58863i −0.223189 0.386574i
\(210\) 2.19053 + 22.7436i 0.151161 + 1.56945i
\(211\) −3.18415 11.8834i −0.219206 0.818089i −0.984643 0.174578i \(-0.944144\pi\)
0.765437 0.643511i \(-0.222523\pi\)
\(212\) −1.95206 + 0.916642i −0.134068 + 0.0629552i
\(213\) 6.65314 1.83565i 0.455866 0.125777i
\(214\) 0.0178135 0.101824i 0.00121771 0.00696054i
\(215\) 18.2632i 1.24554i
\(216\) 12.9164 + 7.01181i 0.878853 + 0.477093i
\(217\) 12.6726i 0.860274i
\(218\) −11.2986 1.97663i −0.765238 0.133874i
\(219\) 9.10738 2.51279i 0.615419 0.169799i
\(220\) −25.0371 9.03676i −1.68800 0.609258i
\(221\) −2.58107 9.63269i −0.173622 0.647965i
\(222\) 21.1937 2.04125i 1.42242 0.137000i
\(223\) 0.258294 + 0.447379i 0.0172967 + 0.0299587i 0.874544 0.484946i \(-0.161161\pi\)
−0.857248 + 0.514905i \(0.827827\pi\)
\(224\) −8.10127 17.0734i −0.541289 1.14076i
\(225\) −4.08659 + 7.32685i −0.272439 + 0.488457i
\(226\) −20.1038 + 1.78602i −1.33728 + 0.118805i
\(227\) 9.84745 + 2.63862i 0.653598 + 0.175131i 0.570355 0.821398i \(-0.306806\pi\)
0.0832432 + 0.996529i \(0.473472\pi\)
\(228\) 3.56211 3.05076i 0.235907 0.202041i
\(229\) −20.6838 + 5.54222i −1.36683 + 0.366240i −0.866319 0.499491i \(-0.833520\pi\)
−0.500508 + 0.865732i \(0.666854\pi\)
\(230\) −5.79575 15.8575i −0.382160 1.04561i
\(231\) 23.7822 13.9666i 1.56475 0.918937i
\(232\) −3.15931 + 0.0127117i −0.207419 + 0.000834563i
\(233\) 23.2468i 1.52295i −0.648194 0.761476i \(-0.724475\pi\)
0.648194 0.761476i \(-0.275525\pi\)
\(234\) −1.03018 + 6.45036i −0.0673448 + 0.421673i
\(235\) −7.17649 7.17649i −0.468142 0.468142i
\(236\) 1.41949 16.7420i 0.0924010 1.08981i
\(237\) −7.17771 + 7.28488i −0.466242 + 0.473204i
\(238\) −27.7515 12.8955i −1.79886 0.835889i
\(239\) 0.219358 0.379939i 0.0141891 0.0245762i −0.858844 0.512238i \(-0.828817\pi\)
0.873033 + 0.487662i \(0.162150\pi\)
\(240\) 3.11559 19.0925i 0.201110 1.23242i
\(241\) 7.67406 + 13.2919i 0.494330 + 0.856204i 0.999979 0.00653501i \(-0.00208017\pi\)
−0.505649 + 0.862739i \(0.668747\pi\)
\(242\) 1.46660 + 16.5083i 0.0942769 + 1.06120i
\(243\) −15.1964 3.47405i −0.974850 0.222860i
\(244\) −7.98228 + 11.4652i −0.511013 + 0.733985i
\(245\) −3.00658 + 11.2207i −0.192083 + 0.716865i
\(246\) −13.3565 + 4.99418i −0.851581 + 0.318417i
\(247\) 1.80521 + 1.04224i 0.114863 + 0.0663159i
\(248\) 2.73524 10.3748i 0.173688 0.658803i
\(249\) 0.137433 + 18.5457i 0.00870948 + 1.17529i
\(250\) −8.57105 1.49946i −0.542081 0.0948341i
\(251\) 8.02147 + 8.02147i 0.506310 + 0.506310i 0.913392 0.407081i \(-0.133453\pi\)
−0.407081 + 0.913392i \(0.633453\pi\)
\(252\) 13.1510 + 15.1269i 0.828433 + 0.952907i
\(253\) −14.4104 + 14.4104i −0.905977 + 0.905977i
\(254\) 13.2175 + 18.8228i 0.829339 + 1.18104i
\(255\) −15.8633 27.0118i −0.993399 1.69154i
\(256\) 2.94727 + 15.7262i 0.184204 + 0.982888i
\(257\) 4.72936 8.19149i 0.295009 0.510971i −0.679978 0.733233i \(-0.738011\pi\)
0.974987 + 0.222262i \(0.0713439\pi\)
\(258\) 9.30406 + 13.0431i 0.579245 + 0.812029i
\(259\) 28.0490 + 7.51571i 1.74288 + 0.467003i
\(260\) 8.46332 1.51573i 0.524873 0.0940016i
\(261\) 3.22359 0.915171i 0.199535 0.0566477i
\(262\) −16.0725 + 19.2067i −0.992964 + 1.18660i
\(263\) 16.2413 9.37694i 1.00148 0.578207i 0.0927966 0.995685i \(-0.470419\pi\)
0.908687 + 0.417478i \(0.137086\pi\)
\(264\) −22.4845 + 6.30112i −1.38383 + 0.387807i
\(265\) −2.60743 1.50540i −0.160173 0.0924759i
\(266\) 6.00767 2.19574i 0.368354 0.134630i
\(267\) 3.74518 1.03332i 0.229201 0.0632384i
\(268\) 3.75241 + 0.318153i 0.229215 + 0.0194343i
\(269\) −13.5606 + 13.5606i −0.826805 + 0.826805i −0.987073 0.160269i \(-0.948764\pi\)
0.160269 + 0.987073i \(0.448764\pi\)
\(270\) 2.26960 + 20.3926i 0.138123 + 1.24106i
\(271\) 30.6233 1.86023 0.930115 0.367268i \(-0.119707\pi\)
0.930115 + 0.367268i \(0.119707\pi\)
\(272\) 19.9363 + 16.5471i 1.20882 + 1.00332i
\(273\) −4.39707 + 7.74799i −0.266123 + 0.468930i
\(274\) 14.2546 + 6.62377i 0.861152 + 0.400156i
\(275\) −3.44988 12.8751i −0.208036 0.776400i
\(276\) −12.2177 8.37241i −0.735416 0.503960i
\(277\) 5.40521 20.1725i 0.324767 1.21205i −0.589778 0.807565i \(-0.700785\pi\)
0.914545 0.404483i \(-0.132549\pi\)
\(278\) −7.30228 6.11067i −0.437962 0.366494i
\(279\) 0.168657 + 11.3789i 0.0100972 + 0.681240i
\(280\) 13.0997 22.9017i 0.782858 1.36864i
\(281\) 10.6538 6.15097i 0.635552 0.366936i −0.147347 0.989085i \(-0.547073\pi\)
0.782899 + 0.622149i \(0.213740\pi\)
\(282\) −8.78128 1.46926i −0.522917 0.0874930i
\(283\) 12.8013 3.43009i 0.760957 0.203898i 0.142584 0.989783i \(-0.454459\pi\)
0.618373 + 0.785885i \(0.287792\pi\)
\(284\) −7.49611 2.70561i −0.444812 0.160548i
\(285\) 6.33698 + 1.64776i 0.375371 + 0.0976047i
\(286\) −5.96417 8.49345i −0.352669 0.502228i
\(287\) −19.4479 −1.14797
\(288\) −7.50147 15.2226i −0.442029 0.897001i
\(289\) 24.9540 1.46788
\(290\) −2.53476 3.60970i −0.148846 0.211969i
\(291\) 15.8079 16.0440i 0.926676 0.940513i
\(292\) −10.2613 3.70366i −0.600497 0.216741i
\(293\) 21.3351 5.71672i 1.24641 0.333974i 0.425460 0.904977i \(-0.360112\pi\)
0.820948 + 0.571003i \(0.193446\pi\)
\(294\) 3.56909 + 9.54523i 0.208153 + 0.556689i
\(295\) 20.3148 11.7287i 1.18277 0.682874i
\(296\) −21.3410 12.2070i −1.24042 0.709518i
\(297\) 21.1685 12.8574i 1.22832 0.746060i
\(298\) 12.0797 + 10.1085i 0.699759 + 0.585570i
\(299\) 1.70377 6.35854i 0.0985313 0.367724i
\(300\) 8.73791 4.18243i 0.504484 0.241473i
\(301\) 5.65539 + 21.1062i 0.325971 + 1.21654i
\(302\) 27.9960 + 13.0091i 1.61099 + 0.748587i
\(303\) 15.7978 0.117070i 0.907562 0.00672551i
\(304\) −5.39229 + 0.500928i −0.309269 + 0.0287302i
\(305\) −19.5040 −1.11680
\(306\) −25.0901 11.2097i −1.43431 0.640815i
\(307\) −3.59225 + 3.59225i −0.205021 + 0.205021i −0.802147 0.597126i \(-0.796309\pi\)
0.597126 + 0.802147i \(0.296309\pi\)
\(308\) −31.7328 2.69051i −1.80815 0.153306i
\(309\) −1.87866 + 7.22499i −0.106873 + 0.411016i
\(310\) 14.0691 5.14211i 0.799071 0.292052i
\(311\) −8.62665 4.98060i −0.489173 0.282424i 0.235058 0.971981i \(-0.424472\pi\)
−0.724231 + 0.689557i \(0.757805\pi\)
\(312\) 5.27211 5.39408i 0.298475 0.305379i
\(313\) −22.1588 + 12.7934i −1.25249 + 0.723124i −0.971603 0.236617i \(-0.923961\pi\)
−0.280885 + 0.959741i \(0.590628\pi\)
\(314\) −7.65953 + 9.15317i −0.432252 + 0.516543i
\(315\) −6.84139 + 27.1348i −0.385469 + 1.52887i
\(316\) 11.6240 2.08180i 0.653903 0.117110i
\(317\) 17.8781 + 4.79041i 1.00413 + 0.269056i 0.723176 0.690664i \(-0.242682\pi\)
0.280957 + 0.959720i \(0.409348\pi\)
\(318\) −2.62907 + 0.253217i −0.147431 + 0.0141997i
\(319\) −2.66205 + 4.61080i −0.149046 + 0.258155i
\(320\) −15.6676 + 15.9218i −0.875843 + 0.890054i
\(321\) 0.0624869 0.110107i 0.00348768 0.00614557i
\(322\) −11.6084 16.5313i −0.646910 0.921251i
\(323\) −6.20084 + 6.20084i −0.345024 + 0.345024i
\(324\) 12.0098 + 13.4077i 0.667209 + 0.744870i
\(325\) 3.04449 + 3.04449i 0.168878 + 0.168878i
\(326\) 13.6564 + 2.38912i 0.756361 + 0.132321i
\(327\) −12.2177 6.93369i −0.675641 0.383434i
\(328\) 15.9216 + 4.19760i 0.879125 + 0.231774i
\(329\) −10.5159 6.07136i −0.579760 0.334725i
\(330\) −25.1557 20.7357i −1.38477 1.14146i
\(331\) 5.10146 19.0389i 0.280402 1.04647i −0.671733 0.740794i \(-0.734450\pi\)
0.952134 0.305680i \(-0.0988836\pi\)
\(332\) 12.2362 17.5753i 0.671550 0.964570i
\(333\) 25.2856 + 6.37517i 1.38564 + 0.349357i
\(334\) −1.06002 11.9317i −0.0580016 0.652875i
\(335\) 2.62878 + 4.55319i 0.143626 + 0.248767i
\(336\) −2.31161 23.0294i −0.126109 1.25636i
\(337\) 3.29609 5.70899i 0.179549 0.310988i −0.762177 0.647369i \(-0.775869\pi\)
0.941726 + 0.336380i \(0.109203\pi\)
\(338\) −13.6325 6.33470i −0.741511 0.344562i
\(339\) −23.9234 6.22063i −1.29934 0.337858i
\(340\) −3.05588 + 36.0421i −0.165729 + 1.95466i
\(341\) −12.7852 12.7852i −0.692360 0.692360i
\(342\) 5.36515 2.05154i 0.290114 0.110935i
\(343\) 9.48653i 0.512224i
\(344\) −0.0744356 18.4999i −0.00401330 0.997447i
\(345\) −0.153230 20.6773i −0.00824961 1.11323i
\(346\) 2.92418 + 8.00073i 0.157205 + 0.430122i
\(347\) −3.20074 + 0.857635i −0.171825 + 0.0460403i −0.343706 0.939077i \(-0.611682\pi\)
0.171881 + 0.985118i \(0.445016\pi\)
\(348\) −3.64919 1.28664i −0.195617 0.0689711i
\(349\) −22.0000 5.89488i −1.17763 0.315546i −0.383645 0.923480i \(-0.625331\pi\)
−0.793987 + 0.607935i \(0.791998\pi\)
\(350\) 13.1601 1.16915i 0.703436 0.0624935i
\(351\) −3.84508 + 7.01555i −0.205235 + 0.374463i
\(352\) 25.3984 + 9.05183i 1.35374 + 0.482464i
\(353\) 14.2071 + 24.6074i 0.756167 + 1.30972i 0.944792 + 0.327670i \(0.106263\pi\)
−0.188626 + 0.982049i \(0.560403\pi\)
\(354\) 8.53318 18.7256i 0.453533 0.995254i
\(355\) −2.87967 10.7471i −0.152837 0.570396i
\(356\) −4.21970 1.52304i −0.223644 0.0807209i
\(357\) −26.6972 26.3044i −1.41296 1.39218i
\(358\) 16.4392 + 2.87594i 0.868838 + 0.151998i
\(359\) 7.35521i 0.388193i −0.980982 0.194097i \(-0.937823\pi\)
0.980982 0.194097i \(-0.0621775\pi\)
\(360\) 11.4576 20.7381i 0.603871 1.09299i
\(361\) 17.1670i 0.903527i
\(362\) −4.59920 + 26.2895i −0.241728 + 1.38174i
\(363\) −5.10811 + 19.6449i −0.268106 + 1.03109i
\(364\) 9.31142 4.37243i 0.488051 0.229178i
\(365\) −3.94194 14.7115i −0.206330 0.770035i
\(366\) −13.9293 + 9.93617i −0.728094 + 0.519372i
\(367\) −17.0496 29.5308i −0.889984 1.54150i −0.839893 0.542752i \(-0.817382\pi\)
−0.0500906 0.998745i \(-0.515951\pi\)
\(368\) 5.93549 + 16.0394i 0.309409 + 0.836110i
\(369\) −17.4626 + 0.258827i −0.909064 + 0.0134740i
\(370\) −3.03740 34.1895i −0.157907 1.77743i
\(371\) −3.47948 0.932323i −0.180646 0.0484038i
\(372\) 7.42818 10.8398i 0.385133 0.562016i
\(373\) 23.8179 6.38198i 1.23324 0.330447i 0.417402 0.908722i \(-0.362941\pi\)
0.815842 + 0.578275i \(0.196274\pi\)
\(374\) 41.0082 14.9881i 2.12048 0.775015i
\(375\) −9.26828 5.25986i −0.478612 0.271618i
\(376\) 7.29874 + 7.24024i 0.376404 + 0.373387i
\(377\) 1.71976i 0.0885720i
\(378\) 8.93768 + 22.8643i 0.459705 + 1.17601i
\(379\) −2.66916 2.66916i −0.137106 0.137106i 0.635223 0.772329i \(-0.280908\pi\)
−0.772329 + 0.635223i \(0.780908\pi\)
\(380\) −4.87540 5.77873i −0.250103 0.296443i
\(381\) 7.49212 + 27.1545i 0.383833 + 1.39117i
\(382\) −1.06381 + 2.28936i −0.0544292 + 0.117134i
\(383\) −3.14570 + 5.44851i −0.160738 + 0.278406i −0.935133 0.354296i \(-0.884721\pi\)
0.774396 + 0.632701i \(0.218054\pi\)
\(384\) −3.07815 + 19.3526i −0.157081 + 0.987586i
\(385\) −22.2307 38.5047i −1.13298 1.96238i
\(386\) 23.1187 2.05387i 1.17671 0.104539i
\(387\) 5.35895 + 18.8763i 0.272411 + 0.959536i
\(388\) −25.6003 + 4.58487i −1.29966 + 0.232761i
\(389\) −0.724164 + 2.70262i −0.0367166 + 0.137028i −0.981851 0.189653i \(-0.939264\pi\)
0.945135 + 0.326681i \(0.105930\pi\)
\(390\) 10.3860 + 1.73775i 0.525914 + 0.0879943i
\(391\) 23.9836 + 13.8469i 1.21290 + 0.700269i
\(392\) 2.99981 11.3784i 0.151513 0.574695i
\(393\) −26.4493 + 15.5330i −1.33419 + 0.783534i
\(394\) −1.18884 + 6.79554i −0.0598930 + 0.342354i
\(395\) 11.6578 + 11.6578i 0.586568 + 0.586568i
\(396\) −28.5292 1.99353i −1.43365 0.100178i
\(397\) −4.29700 + 4.29700i −0.215660 + 0.215660i −0.806667 0.591007i \(-0.798731\pi\)
0.591007 + 0.806667i \(0.298731\pi\)
\(398\) −17.3712 + 12.1982i −0.870742 + 0.611442i
\(399\) 7.83369 0.0580517i 0.392175 0.00290622i
\(400\) −11.0263 1.88329i −0.551313 0.0941646i
\(401\) −6.63116 + 11.4855i −0.331145 + 0.573559i −0.982737 0.185010i \(-0.940768\pi\)
0.651592 + 0.758570i \(0.274101\pi\)
\(402\) 4.19700 + 1.91256i 0.209327 + 0.0953896i
\(403\) 5.64143 + 1.51162i 0.281020 + 0.0752990i
\(404\) −14.9712 10.4232i −0.744846 0.518575i
\(405\) −5.78185 + 24.4558i −0.287303 + 1.21522i
\(406\) −4.04712 3.38669i −0.200855 0.168079i
\(407\) −35.8808 + 20.7158i −1.77854 + 1.02684i
\(408\) 16.1790 + 27.2972i 0.800979 + 1.35141i
\(409\) −10.6538 6.15100i −0.526799 0.304147i 0.212913 0.977071i \(-0.431705\pi\)
−0.739712 + 0.672924i \(0.765038\pi\)
\(410\) 7.89128 + 21.5910i 0.389722 + 1.06630i
\(411\) 13.7130 + 13.5113i 0.676414 + 0.666462i
\(412\) 6.58851 5.55860i 0.324593 0.273853i
\(413\) 19.8452 19.8452i 0.976518 0.976518i
\(414\) −10.6434 14.6892i −0.523092 0.721933i
\(415\) 29.8981 1.46764
\(416\) −8.56683 + 1.56987i −0.420023 + 0.0769691i
\(417\) −5.90553 10.0558i −0.289195 0.492437i
\(418\) −3.84580 + 8.27631i −0.188104 + 0.404808i
\(419\) 7.82317 + 29.1965i 0.382187 + 1.42634i 0.842554 + 0.538612i \(0.181051\pi\)
−0.460367 + 0.887729i \(0.652282\pi\)
\(420\) 24.5424 21.0192i 1.19755 1.02563i
\(421\) −5.75964 + 21.4953i −0.280708 + 1.04762i 0.671211 + 0.741266i \(0.265774\pi\)
−0.951919 + 0.306350i \(0.900892\pi\)
\(422\) −11.1657 + 13.3430i −0.543537 + 0.649529i
\(423\) −9.52319 5.31161i −0.463033 0.258259i
\(424\) 2.64735 + 1.51428i 0.128567 + 0.0735399i
\(425\) −15.6866 + 9.05668i −0.760913 + 0.439314i
\(426\) −7.53162 6.20827i −0.364908 0.300792i
\(427\) −22.5401 + 6.03961i −1.09079 + 0.292277i
\(428\) −0.132325 + 0.0621368i −0.00639616 + 0.00300349i
\(429\) −3.38069 12.2530i −0.163221 0.591580i
\(430\) 21.1372 14.8427i 1.01933 0.715780i
\(431\) 15.3940 0.741505 0.370752 0.928732i \(-0.379100\pi\)
0.370752 + 0.928732i \(0.379100\pi\)
\(432\) −2.38212 20.6477i −0.114610 0.993411i
\(433\) −17.2454 −0.828763 −0.414382 0.910103i \(-0.636002\pi\)
−0.414382 + 0.910103i \(0.636002\pi\)
\(434\) 14.6669 10.2992i 0.704033 0.494378i
\(435\) −1.43679 5.20749i −0.0688887 0.249680i
\(436\) 6.89483 + 14.6831i 0.330203 + 0.703191i
\(437\) −5.59138 + 1.49821i −0.267472 + 0.0716690i
\(438\) −10.3099 8.49840i −0.492626 0.406069i
\(439\) −4.55070 + 2.62735i −0.217193 + 0.125397i −0.604650 0.796491i \(-0.706687\pi\)
0.387457 + 0.921888i \(0.373354\pi\)
\(440\) 9.88908 + 36.3214i 0.471443 + 1.73155i
\(441\) 0.184971 + 12.4796i 0.00880813 + 0.594267i
\(442\) −9.05089 + 10.8159i −0.430507 + 0.514458i
\(443\) 3.35032 12.5036i 0.159179 0.594062i −0.839533 0.543309i \(-0.817171\pi\)
0.998711 0.0507532i \(-0.0161622\pi\)
\(444\) −19.5868 22.8699i −0.929550 1.08536i
\(445\) −1.62102 6.04974i −0.0768438 0.286785i
\(446\) 0.307863 0.662532i 0.0145777 0.0313718i
\(447\) 9.76916 + 16.6348i 0.462066 + 0.786798i
\(448\) −13.1761 + 23.2519i −0.622514 + 1.09855i
\(449\) 27.9740 1.32018 0.660088 0.751189i \(-0.270519\pi\)
0.660088 + 0.751189i \(0.270519\pi\)
\(450\) 11.8011 1.22494i 0.556308 0.0577441i
\(451\) 19.6207 19.6207i 0.923904 0.923904i
\(452\) 18.4057 + 21.8159i 0.865730 + 1.02613i
\(453\) 26.9323 + 26.5361i 1.26539 + 1.24678i
\(454\) −4.94930 13.5416i −0.232282 0.635537i
\(455\) 12.4376 + 7.18083i 0.583082 + 0.336643i
\(456\) −6.42582 1.64328i −0.300917 0.0769538i
\(457\) 35.2732 20.3650i 1.65001 0.952635i 0.672947 0.739690i \(-0.265028\pi\)
0.977064 0.212944i \(-0.0683053\pi\)
\(458\) 23.2244 + 19.4346i 1.08521 + 0.908118i
\(459\) −24.3219 23.2638i −1.13525 1.08586i
\(460\) −13.6426 + 19.5954i −0.636092 + 0.913639i
\(461\) −36.8721 9.87984i −1.71730 0.460150i −0.740107 0.672489i \(-0.765225\pi\)
−0.977196 + 0.212339i \(0.931892\pi\)
\(462\) −35.4926 16.1738i −1.65126 0.752475i
\(463\) −17.7637 + 30.7676i −0.825549 + 1.42989i 0.0759497 + 0.997112i \(0.475801\pi\)
−0.901499 + 0.432781i \(0.857532\pi\)
\(464\) 2.58232 + 3.64614i 0.119881 + 0.169268i
\(465\) 18.3454 0.135949i 0.850746 0.00630447i
\(466\) −26.9051 + 18.8930i −1.24636 + 0.875201i
\(467\) −17.1010 + 17.1010i −0.791341 + 0.791341i −0.981712 0.190371i \(-0.939031\pi\)
0.190371 + 0.981712i \(0.439031\pi\)
\(468\) 8.30267 4.05000i 0.383791 0.187211i
\(469\) 4.44794 + 4.44794i 0.205387 + 0.205387i
\(470\) −2.47341 + 14.1383i −0.114090 + 0.652149i
\(471\) −12.6047 + 7.40239i −0.580793 + 0.341084i
\(472\) −20.5302 + 11.9635i −0.944981 + 0.550666i
\(473\) −26.9994 15.5881i −1.24143 0.716742i
\(474\) 14.2647 + 2.38673i 0.655199 + 0.109626i
\(475\) 0.979914 3.65709i 0.0449615 0.167799i
\(476\) 7.62923 + 42.5990i 0.349685 + 1.95252i
\(477\) −3.13668 0.790839i −0.143619 0.0362101i
\(478\) −0.618004 + 0.0549036i −0.0282668 + 0.00251123i
\(479\) −6.76619 11.7194i −0.309155 0.535473i 0.669023 0.743242i \(-0.266713\pi\)
−0.978178 + 0.207769i \(0.933380\pi\)
\(480\) −24.6291 + 11.9109i −1.12416 + 0.543654i
\(481\) 6.69148 11.5900i 0.305105 0.528458i
\(482\) 9.14676 19.6842i 0.416624 0.896590i
\(483\) −6.58003 23.8487i −0.299402 1.08515i
\(484\) 17.9143 15.1139i 0.814285 0.686997i
\(485\) −25.6747 25.6747i −1.16583 1.16583i
\(486\) 8.32957 + 20.4112i 0.377837 + 0.925872i
\(487\) 16.1436i 0.731536i 0.930706 + 0.365768i \(0.119194\pi\)
−0.930706 + 0.365768i \(0.880806\pi\)
\(488\) 19.7568 0.0794927i 0.894347 0.00359847i
\(489\) 14.7673 + 8.38064i 0.667802 + 0.378986i
\(490\) 15.4300 5.63950i 0.697055 0.254766i
\(491\) −34.9555 + 9.36630i −1.57752 + 0.422695i −0.938157 0.346209i \(-0.887469\pi\)
−0.639363 + 0.768905i \(0.720802\pi\)
\(492\) 16.6351 + 11.3996i 0.749969 + 0.513932i
\(493\) 6.98844 + 1.87255i 0.314744 + 0.0843353i
\(494\) −0.260864 2.93633i −0.0117368 0.132112i
\(495\) −20.4737 34.2781i −0.920227 1.54069i
\(496\) −14.2305 + 5.26609i −0.638967 + 0.236454i
\(497\) −6.65589 11.5283i −0.298557 0.517117i
\(498\) 21.3525 15.2314i 0.956828 0.682535i
\(499\) −1.70347 6.35742i −0.0762576 0.284597i 0.917258 0.398294i \(-0.130398\pi\)
−0.993516 + 0.113696i \(0.963731\pi\)
\(500\) 5.23038 + 11.1385i 0.233910 + 0.498128i
\(501\) 3.69199 14.1987i 0.164946 0.634352i
\(502\) 2.76463 15.8029i 0.123392 0.705319i
\(503\) 8.67964i 0.387006i −0.981100 0.193503i \(-0.938015\pi\)
0.981100 0.193503i \(-0.0619849\pi\)
\(504\) 6.81945 27.5143i 0.303763 1.22559i
\(505\) 25.4682i 1.13332i
\(506\) 28.3897 + 4.96662i 1.26208 + 0.220793i
\(507\) −13.1146 12.9216i −0.582439 0.573870i
\(508\) 11.0428 30.5950i 0.489946 1.35743i
\(509\) 0.894794 + 3.33942i 0.0396611 + 0.148017i 0.982917 0.184050i \(-0.0589207\pi\)
−0.943256 + 0.332067i \(0.892254\pi\)
\(510\) −18.3702 + 40.3125i −0.813448 + 1.78507i
\(511\) −9.11113 15.7809i −0.403053 0.698108i
\(512\) 15.8057 16.1920i 0.698520 0.715590i
\(513\) 7.03321 0.156382i 0.310524 0.00690444i
\(514\) −13.3242 + 1.18372i −0.587704 + 0.0522118i
\(515\) 11.6246 + 3.11479i 0.512240 + 0.137254i
\(516\) 7.53415 21.3685i 0.331673 0.940697i
\(517\) 16.7347 4.48404i 0.735990 0.197208i
\(518\) −14.0973 38.5711i −0.619402 1.69472i
\(519\) 0.0773105 + 10.4325i 0.00339355 + 0.457937i
\(520\) −8.63251 8.56332i −0.378560 0.375526i
\(521\) 15.7843i 0.691524i 0.938322 + 0.345762i \(0.112380\pi\)
−0.938322 + 0.345762i \(0.887620\pi\)
\(522\) −3.67904 2.98710i −0.161027 0.130742i
\(523\) 6.62449 + 6.62449i 0.289669 + 0.289669i 0.836949 0.547280i \(-0.184337\pi\)
−0.547280 + 0.836949i \(0.684337\pi\)
\(524\) 35.2916 + 2.99225i 1.54172 + 0.130717i
\(525\) 15.6605 + 4.07207i 0.683479 + 0.177720i
\(526\) −24.0521 11.1764i −1.04872 0.487315i
\(527\) −12.2853 + 21.2787i −0.535155 + 0.926916i
\(528\) 25.5662 + 20.9019i 1.11263 + 0.909637i
\(529\) −2.35965 4.08703i −0.102593 0.177697i
\(530\) 0.376790 + 4.24120i 0.0163667 + 0.184226i
\(531\) 17.5552 18.0834i 0.761830 0.784753i
\(532\) −7.42379 5.16857i −0.321862 0.224086i
\(533\) −2.31978 + 8.65755i −0.100481 + 0.375000i
\(534\) −4.23969 3.49475i −0.183469 0.151233i
\(535\) −0.176751 0.102047i −0.00764160 0.00441188i
\(536\) −2.68141 4.60148i −0.115819 0.198754i
\(537\) 17.7764 + 10.0883i 0.767110 + 0.435344i
\(538\) 26.7155 + 4.67372i 1.15179 + 0.201498i
\(539\) −14.0219 14.0219i −0.603967 0.603967i
\(540\) 21.7572 19.2001i 0.936282 0.826241i
\(541\) 32.2832 32.2832i 1.38796 1.38796i 0.558377 0.829587i \(-0.311424\pi\)
0.829587 0.558377i \(-0.188576\pi\)
\(542\) −24.8879 35.4423i −1.06903 1.52238i
\(543\) −16.1332 + 28.4280i −0.692343 + 1.21996i
\(544\) 2.94859 36.5217i 0.126420 1.56585i
\(545\) −11.3234 + 19.6126i −0.485040 + 0.840113i
\(546\) 12.5408 1.20786i 0.536698 0.0516916i
\(547\) −7.43060 1.99102i −0.317710 0.0851300i 0.0964402 0.995339i \(-0.469254\pi\)
−0.414150 + 0.910209i \(0.635921\pi\)
\(548\) −3.91876 21.8810i −0.167401 0.934711i
\(549\) −20.1587 + 5.72304i −0.860354 + 0.244253i
\(550\) −12.0975 + 14.4566i −0.515839 + 0.616430i
\(551\) −1.30966 + 0.756135i −0.0557936 + 0.0322124i
\(552\) 0.239490 + 20.9447i 0.0101934 + 0.891465i
\(553\) 17.0825 + 9.86259i 0.726422 + 0.419400i
\(554\) −27.7399 + 10.1386i −1.17855 + 0.430750i
\(555\) 10.5791 40.6854i 0.449058 1.72700i
\(556\) −1.13763 + 13.4176i −0.0482464 + 0.569035i
\(557\) 24.4143 24.4143i 1.03447 1.03447i 0.0350828 0.999384i \(-0.488830\pi\)
0.999384 0.0350828i \(-0.0111695\pi\)
\(558\) 13.0325 9.44301i 0.551712 0.399754i
\(559\) 10.0704 0.425931
\(560\) −37.1520 + 3.45131i −1.56996 + 0.145844i
\(561\) 53.4726 0.396260i 2.25761 0.0167301i
\(562\) −15.7774 7.33138i −0.665530 0.309256i
\(563\) 3.30278 + 12.3261i 0.139196 + 0.519485i 0.999945 + 0.0104567i \(0.00332852\pi\)
−0.860750 + 0.509028i \(0.830005\pi\)
\(564\) 5.43618 + 11.3572i 0.228905 + 0.478226i
\(565\) −10.3137 + 38.4913i −0.433901 + 1.61934i
\(566\) −14.3736 12.0281i −0.604169 0.505578i
\(567\) 0.891083 + 30.0532i 0.0374220 + 1.26211i
\(568\) 2.96079 + 10.8746i 0.124232 + 0.456289i
\(569\) 22.2747 12.8603i 0.933803 0.539132i 0.0457910 0.998951i \(-0.485419\pi\)
0.888012 + 0.459819i \(0.152086\pi\)
\(570\) −3.24309 8.67337i −0.135838 0.363287i
\(571\) 33.6207 9.00865i 1.40698 0.377000i 0.526136 0.850400i \(-0.323640\pi\)
0.880848 + 0.473400i \(0.156973\pi\)
\(572\) −4.98288 + 13.8055i −0.208345 + 0.577235i
\(573\) −2.16997 + 2.20238i −0.0906520 + 0.0920056i
\(574\) 15.8055 + 22.5084i 0.659711 + 0.939480i
\(575\) −11.9566 −0.498626
\(576\) −11.5216 + 21.0536i −0.480067 + 0.877232i
\(577\) −26.7695 −1.11443 −0.557215 0.830369i \(-0.688130\pi\)
−0.557215 + 0.830369i \(0.688130\pi\)
\(578\) −20.2804 28.8809i −0.843554 1.20129i
\(579\) 27.5112 + 7.15352i 1.14333 + 0.297290i
\(580\) −2.11771 + 5.86729i −0.0879333 + 0.243626i
\(581\) 34.5523 9.25826i 1.43347 0.384097i
\(582\) −31.4160 5.25643i −1.30224 0.217886i
\(583\) 4.45101 2.56979i 0.184342 0.106430i
\(584\) 4.05298 + 14.8861i 0.167714 + 0.615991i
\(585\) 11.2634 + 6.28225i 0.465686 + 0.259739i
\(586\) −23.9556 20.0465i −0.989598 0.828112i
\(587\) 9.79668 36.5617i 0.404352 1.50906i −0.400895 0.916124i \(-0.631301\pi\)
0.805247 0.592939i \(-0.202033\pi\)
\(588\) 8.14669 11.8883i 0.335964 0.490264i
\(589\) −1.32924 4.96080i −0.0547704 0.204406i
\(590\) −30.0845 13.9796i −1.23856 0.575529i
\(591\) −4.17026 + 7.34833i −0.171542 + 0.302270i
\(592\) 3.21611 + 34.6202i 0.132181 + 1.42288i
\(593\) −7.98596 −0.327944 −0.163972 0.986465i \(-0.552431\pi\)
−0.163972 + 0.986465i \(0.552431\pi\)
\(594\) −32.0846 14.0504i −1.31645 0.576493i
\(595\) −42.7228 + 42.7228i −1.75146 + 1.75146i
\(596\) 1.88192 22.1960i 0.0770863 0.909183i
\(597\) −25.0605 + 6.91437i −1.02566 + 0.282986i
\(598\) −8.74383 + 3.19578i −0.357562 + 0.130685i
\(599\) 1.64879 + 0.951932i 0.0673679 + 0.0388949i 0.533306 0.845923i \(-0.320950\pi\)
−0.465938 + 0.884818i \(0.654283\pi\)
\(600\) −11.9420 6.71386i −0.487531 0.274092i
\(601\) −11.7530 + 6.78561i −0.479416 + 0.276791i −0.720173 0.693794i \(-0.755938\pi\)
0.240757 + 0.970585i \(0.422604\pi\)
\(602\) 19.8314 23.6986i 0.808268 0.965884i
\(603\) 4.05307 + 3.93467i 0.165054 + 0.160232i
\(604\) −7.69643 42.9743i −0.313163 1.74860i
\(605\) 31.6074 + 8.46917i 1.28502 + 0.344321i
\(606\) −12.9746 18.1888i −0.527057 0.738868i
\(607\) −3.16527 + 5.48241i −0.128474 + 0.222524i −0.923086 0.384594i \(-0.874341\pi\)
0.794611 + 0.607119i \(0.207675\pi\)
\(608\) 4.96214 + 5.83375i 0.201241 + 0.236590i
\(609\) −3.27300 5.57321i −0.132629 0.225838i
\(610\) 15.8511 + 22.5733i 0.641794 + 0.913966i
\(611\) −3.95712 + 3.95712i −0.160088 + 0.160088i
\(612\) 7.41734 + 38.1487i 0.299828 + 1.54207i
\(613\) −1.83081 1.83081i −0.0739458 0.0739458i 0.669167 0.743112i \(-0.266651\pi\)
−0.743112 + 0.669167i \(0.766651\pi\)
\(614\) 7.07703 + 1.23809i 0.285606 + 0.0499651i
\(615\) 0.208632 + 28.1535i 0.00841285 + 1.13526i
\(616\) 22.6758 + 38.9131i 0.913632 + 1.56786i
\(617\) 3.82758 + 2.20985i 0.154092 + 0.0889653i 0.575064 0.818109i \(-0.304977\pi\)
−0.420971 + 0.907074i \(0.638311\pi\)
\(618\) 9.88878 3.69754i 0.397785 0.148737i
\(619\) 3.75899 14.0287i 0.151087 0.563863i −0.848322 0.529480i \(-0.822387\pi\)
0.999409 0.0343824i \(-0.0109464\pi\)
\(620\) −17.3854 12.1040i −0.698216 0.486110i
\(621\) −6.22570 21.3265i −0.249829 0.855803i
\(622\) 1.24661 + 14.0320i 0.0499844 + 0.562632i
\(623\) −3.74672 6.48952i −0.150109 0.259997i
\(624\) −10.5276 1.71794i −0.421443 0.0687725i
\(625\) −15.5810 + 26.9872i −0.623242 + 1.07949i
\(626\) 32.8154 + 15.2485i 1.31157 + 0.609453i
\(627\) −7.84474 + 7.96187i −0.313289 + 0.317967i
\(628\) 16.8186 + 1.42599i 0.671134 + 0.0569031i
\(629\) 39.8114 + 39.8114i 1.58738 + 1.58738i
\(630\) 36.9650 14.1348i 1.47272 0.563144i
\(631\) 33.6255i 1.33861i −0.742987 0.669305i \(-0.766592\pi\)
0.742987 0.669305i \(-0.233408\pi\)
\(632\) −11.8564 11.7614i −0.471622 0.467842i
\(633\) −18.3745 + 10.7908i −0.730320 + 0.428898i
\(634\) −8.98546 24.5847i −0.356858 0.976384i
\(635\) 43.8637 11.7532i 1.74068 0.466413i
\(636\) 2.42974 + 2.83701i 0.0963457 + 0.112495i
\(637\) 6.18711 + 1.65783i 0.245142 + 0.0656857i
\(638\) 7.49987 0.666291i 0.296923 0.0263787i
\(639\) −6.12985 10.2629i −0.242493 0.405993i
\(640\) 31.1605 + 5.19330i 1.23173 + 0.205283i
\(641\) −22.9601 39.7681i −0.906871 1.57075i −0.818386 0.574668i \(-0.805131\pi\)
−0.0884843 0.996078i \(-0.528202\pi\)
\(642\) −0.178218 + 0.0171649i −0.00703370 + 0.000677445i
\(643\) 6.92565 + 25.8469i 0.273121 + 1.01930i 0.957090 + 0.289790i \(0.0935855\pi\)
−0.683969 + 0.729511i \(0.739748\pi\)
\(644\) −9.69845 + 26.8703i −0.382173 + 1.05884i
\(645\) 30.4934 8.41337i 1.20068 0.331276i
\(646\) 12.2162 + 2.13715i 0.480638 + 0.0840850i
\(647\) 11.4351i 0.449559i −0.974410 0.224780i \(-0.927834\pi\)
0.974410 0.224780i \(-0.0721662\pi\)
\(648\) 5.75711 24.7963i 0.226161 0.974090i
\(649\) 40.0431i 1.57183i
\(650\) 1.04930 5.99789i 0.0411568 0.235256i
\(651\) 21.1590 5.83794i 0.829288 0.228807i
\(652\) −8.33368 17.7472i −0.326372 0.695034i
\(653\) 5.73613 + 21.4075i 0.224472 + 0.837741i 0.982615 + 0.185653i \(0.0594401\pi\)
−0.758143 + 0.652088i \(0.773893\pi\)
\(654\) 1.90466 + 19.7755i 0.0744780 + 0.773282i
\(655\) 24.7239 + 42.8230i 0.966041 + 1.67323i
\(656\) −8.08154 21.8386i −0.315531 0.852654i
\(657\) −8.39105 14.0487i −0.327366 0.548091i
\(658\) 1.51962 + 17.1050i 0.0592408 + 0.666823i
\(659\) 26.7345 + 7.16348i 1.04143 + 0.279050i 0.738705 0.674029i \(-0.235438\pi\)
0.302723 + 0.953079i \(0.402104\pi\)
\(660\) −3.55446 + 45.9665i −0.138357 + 1.78924i
\(661\) 9.68293 2.59453i 0.376622 0.100916i −0.0655417 0.997850i \(-0.520878\pi\)
0.442164 + 0.896934i \(0.354211\pi\)
\(662\) −26.1810 + 9.56890i −1.01755 + 0.371906i
\(663\) −14.8943 + 8.74704i −0.578448 + 0.339707i
\(664\) −30.2856 + 0.121856i −1.17531 + 0.00472894i
\(665\) 12.6289i 0.489729i
\(666\) −13.1716 34.4459i −0.510387 1.33475i
\(667\) 3.37700 + 3.37700i 0.130758 + 0.130758i
\(668\) −12.9479 + 10.9239i −0.500969 + 0.422658i
\(669\) 0.627984 0.637360i 0.0242792 0.0246418i
\(670\) 3.13326 6.74290i 0.121048 0.260501i
\(671\) 16.6472 28.8337i 0.642656 1.11311i
\(672\) −24.7748 + 21.3916i −0.955707 + 0.825201i
\(673\) −16.7789 29.0620i −0.646781 1.12026i −0.983887 0.178791i \(-0.942782\pi\)
0.337106 0.941467i \(-0.390552\pi\)
\(674\) −9.28616 + 0.824985i −0.357690 + 0.0317773i
\(675\) 14.1160 + 3.44795i 0.543324 + 0.132712i
\(676\) 3.74774 + 20.9261i 0.144144 + 0.804850i
\(677\) 6.92612 25.8486i 0.266192 0.993443i −0.695324 0.718696i \(-0.744739\pi\)
0.961517 0.274747i \(-0.0885941\pi\)
\(678\) 12.2433 + 32.7438i 0.470202 + 1.25752i
\(679\) −37.6218 21.7210i −1.44379 0.833575i
\(680\) 44.1975 25.7551i 1.69490 0.987664i
\(681\) −0.130851 17.6575i −0.00501423 0.676636i
\(682\) −4.40649 + 25.1880i −0.168733 + 0.964497i
\(683\) −9.62993 9.62993i −0.368479 0.368479i 0.498443 0.866922i \(-0.333905\pi\)
−0.866922 + 0.498443i \(0.833905\pi\)
\(684\) −6.73472 4.54213i −0.257508 0.173673i
\(685\) 21.9446 21.9446i 0.838460 0.838460i
\(686\) −10.9794 + 7.70982i −0.419195 + 0.294362i
\(687\) 18.7821 + 31.9819i 0.716583 + 1.22019i
\(688\) −21.3507 + 15.1212i −0.813987 + 0.576492i
\(689\) −0.830078 + 1.43774i −0.0316235 + 0.0547734i
\(690\) −23.8067 + 16.9821i −0.906307 + 0.646496i
\(691\) −36.8896 9.88454i −1.40335 0.376025i −0.523801 0.851841i \(-0.675486\pi\)
−0.879545 + 0.475815i \(0.842153\pi\)
\(692\) 6.88325 9.88664i 0.261662 0.375834i
\(693\) −34.2754 33.2742i −1.30201 1.26398i
\(694\) 3.59388 + 3.00742i 0.136422 + 0.114160i
\(695\) −16.2810 + 9.39985i −0.617574 + 0.356557i
\(696\) 1.47663 + 5.26913i 0.0559716 + 0.199726i
\(697\) −32.6551 18.8534i −1.23690 0.714125i
\(698\) 11.0571 + 30.2529i 0.418518 + 1.14509i
\(699\) −38.8144 + 10.7092i −1.46810 + 0.405059i
\(700\) −12.0485 14.2809i −0.455390 0.539766i
\(701\) −24.7308 + 24.7308i −0.934070 + 0.934070i −0.997957 0.0638873i \(-0.979650\pi\)
0.0638873 + 0.997957i \(0.479650\pi\)
\(702\) 11.2445 1.25146i 0.424397 0.0472332i
\(703\) −11.7683 −0.443851
\(704\) −10.1653 36.7518i −0.383118 1.38513i
\(705\) −8.67631 + 15.2883i −0.326769 + 0.575792i
\(706\) 16.9335 36.4415i 0.637301 1.37150i
\(707\) −7.88649 29.4328i −0.296602 1.10693i
\(708\) −28.6074 + 5.34250i −1.07513 + 0.200783i
\(709\) −7.27509 + 27.1510i −0.273222 + 1.01968i 0.683802 + 0.729668i \(0.260325\pi\)
−0.957024 + 0.290010i \(0.906341\pi\)
\(710\) −10.0980 + 12.0671i −0.378970 + 0.452871i
\(711\) 15.4699 + 8.62842i 0.580166 + 0.323591i
\(712\) 1.66669 + 6.12153i 0.0624617 + 0.229414i
\(713\) −14.0461 + 8.10951i −0.526030 + 0.303704i
\(714\) −8.74672 + 52.2763i −0.327338 + 1.95639i
\(715\) −19.7927 + 5.30345i −0.740207 + 0.198338i
\(716\) −10.0318 21.3635i −0.374906 0.798391i
\(717\) −0.735423 0.191226i −0.0274649 0.00714148i
\(718\) −8.51267 + 5.97767i −0.317690 + 0.223085i
\(719\) 12.7928 0.477091 0.238546 0.971131i \(-0.423329\pi\)
0.238546 + 0.971131i \(0.423329\pi\)
\(720\) −33.3134 + 3.59343i −1.24152 + 0.133919i
\(721\) 14.3987 0.536234
\(722\) 19.8685 13.9519i 0.739430 0.519234i
\(723\) 18.6577 18.9363i 0.693888 0.704249i
\(724\) 34.1644 16.0428i 1.26971 0.596227i
\(725\) −3.01722 + 0.808460i −0.112057 + 0.0300255i
\(726\) 26.8877 10.0537i 0.997898 0.373127i
\(727\) 3.44828 1.99086i 0.127890 0.0738371i −0.434690 0.900580i \(-0.643142\pi\)
0.562580 + 0.826743i \(0.309809\pi\)
\(728\) −12.6280 7.22320i −0.468026 0.267710i
\(729\) 1.20009 + 26.9733i 0.0444477 + 0.999012i
\(730\) −13.8230 + 16.5185i −0.511610 + 0.611377i
\(731\) −10.9650 + 40.9221i −0.405557 + 1.51356i
\(732\) 22.8203 + 8.04602i 0.843462 + 0.297389i
\(733\) 9.71206 + 36.2459i 0.358723 + 1.33877i 0.875734 + 0.482794i \(0.160378\pi\)
−0.517011 + 0.855979i \(0.672955\pi\)
\(734\) −20.3216 + 43.7328i −0.750082 + 1.61421i
\(735\) 20.1199 0.149099i 0.742133 0.00549959i
\(736\) 13.7396 19.9049i 0.506448 0.733705i
\(737\) −8.97493 −0.330596
\(738\) 14.4916 + 20.0002i 0.533443 + 0.736219i
\(739\) 3.06425 3.06425i 0.112720 0.112720i −0.648497 0.761217i \(-0.724602\pi\)
0.761217 + 0.648497i \(0.224602\pi\)
\(740\) −37.1012 + 31.3016i −1.36387 + 1.15067i
\(741\) 0.908575 3.49422i 0.0333774 0.128363i
\(742\) 1.74878 + 4.78474i 0.0641996 + 0.175653i
\(743\) −30.1059 17.3817i −1.10448 0.637671i −0.167085 0.985943i \(-0.553435\pi\)
−0.937394 + 0.348272i \(0.886769\pi\)
\(744\) −18.5826 + 0.212481i −0.681270 + 0.00778993i
\(745\) 26.9327 15.5496i 0.986738 0.569693i
\(746\) −26.7434 22.3793i −0.979145 0.819365i
\(747\) 30.9018 8.77298i 1.13064 0.320986i
\(748\) −50.6746 35.2805i −1.85285 1.28998i
\(749\) −0.235865 0.0631998i −0.00861831 0.00230927i
\(750\) 1.44486 + 15.0015i 0.0527589 + 0.547779i
\(751\) −7.10890 + 12.3130i −0.259407 + 0.449307i −0.966083 0.258231i \(-0.916861\pi\)
0.706676 + 0.707537i \(0.250194\pi\)
\(752\) 2.44784 14.3316i 0.0892635 0.522618i
\(753\) 9.69789 17.0884i 0.353411 0.622737i
\(754\) −1.99039 + 1.39767i −0.0724858 + 0.0509001i
\(755\) 43.0991 43.0991i 1.56854 1.56854i
\(756\) 19.1986 28.9263i 0.698246 1.05204i
\(757\) 2.11199 + 2.11199i 0.0767615 + 0.0767615i 0.744445 0.667684i \(-0.232714\pi\)
−0.667684 + 0.744445i \(0.732714\pi\)
\(758\) −0.919938 + 5.25846i −0.0334137 + 0.190996i
\(759\) 30.6991 + 17.4221i 1.11431 + 0.632382i
\(760\) −2.72581 + 10.3391i −0.0988755 + 0.375038i
\(761\) −16.3519 9.44076i −0.592755 0.342227i 0.173431 0.984846i \(-0.444515\pi\)
−0.766186 + 0.642619i \(0.777848\pi\)
\(762\) 25.3387 30.7399i 0.917926 1.11359i
\(763\) −7.01279 + 26.1721i −0.253880 + 0.947493i
\(764\) 3.51419 0.629371i 0.127139 0.0227699i
\(765\) −37.7928 + 38.9300i −1.36640 + 1.40752i
\(766\) 8.86247 0.787345i 0.320214 0.0284479i
\(767\) −6.46724 11.2016i −0.233519 0.404466i
\(768\) 24.8998 12.1656i 0.898493 0.438988i
\(769\) 3.50579 6.07221i 0.126422 0.218970i −0.795866 0.605473i \(-0.792984\pi\)
0.922288 + 0.386503i \(0.126317\pi\)
\(770\) −26.4969 + 57.0224i −0.954883 + 2.05494i
\(771\) −15.8557 4.12284i −0.571030 0.148481i
\(772\) −21.1659 25.0876i −0.761778 0.902922i
\(773\) 8.54407