Properties

Label 144.2.x.e.61.6
Level $144$
Weight $2$
Character 144.61
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 61.6
Character \(\chi\) \(=\) 144.61
Dual form 144.2.x.e.85.6

$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{2}{3}\right)\) \(1\)

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 −0.400911 0.916117i \(-0.631306\pi\)
−0.805258 + 0.592925i \(0.797973\pi\)
\(6\) −1.55802 1.89013i −0.636059 0.771640i
\(7\) −2.89314 1.67035i −1.09350 0.631334i −0.158996 0.987279i \(-0.550826\pi\)
−0.934507 + 0.355945i \(0.884159\pi\)
\(8\) 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 0.857737 + 0.514089i \(0.171870\pi\)
−0.485777 + 0.874083i \(0.661463\pi\)
\(12\) 3.45379 0.267072i 0.997024 0.0770971i
\(13\) 0.398486 1.48717i 0.110520 0.412467i −0.888393 0.459084i \(-0.848178\pi\)
0.998913 + 0.0466175i \(0.0148442\pi\)
\(14\) 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 0.808342 0.588714i \(-0.200365\pi\)
−0.588714 + 0.808342i \(0.700365\pi\)
\(20\) 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 −0.833617 0.552343i \(-0.813734\pi\)
0.0615352 + 0.998105i \(0.480400\pi\)
\(24\) −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 −0.357600 0.933875i \(-0.616405\pi\)
0.157247 + 0.987559i \(0.449738\pi\)
\(30\) 2.83614 + 6.22376i 0.517807 + 1.13630i
\(31\) 1.89670 + 3.28518i 0.340657 + 0.590036i 0.984555 0.175076i \(-0.0560171\pi\)
−0.643898 + 0.765112i \(0.722684\pi\)
\(32\) −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 −0.0105160 + 0.999945i \(0.503347\pi\)
−0.999945 + 0.0105160i \(0.996653\pi\)
\(38\) −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 −0.0516729 0.998664i \(-0.516455\pi\)
0.839032 + 0.544082i \(0.183122\pi\)
\(42\) 1.35039 + 8.07084i 0.208369 + 1.24536i
\(43\) 1.69287 + 6.31788i 0.258160 + 0.963468i 0.966305 + 0.257400i \(0.0828659\pi\)
−0.708144 + 0.706068i \(0.750467\pi\)
\(44\) 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 −0.702495 0.711689i \(-0.747931\pi\)
0.967588 + 0.252534i \(0.0812639\pi\)
\(48\) −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 −0.652799 0.757531i \(-0.726405\pi\)
0.757531 + 0.652799i \(0.226405\pi\)
\(54\) 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 −0.311536 0.950234i \(-0.600844\pi\)
−0.744915 + 0.667159i \(0.767510\pi\)
\(60\) −9.50814 1.77567i −1.22750 0.229238i
\(61\) 6.74711 1.80788i 0.863879 0.231476i 0.200440 0.979706i \(-0.435763\pi\)
0.663439 + 0.748230i \(0.269096\pi\)
\(62\) −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 −0.989284 0.146002i \(-0.953359\pi\)
0.929746 + 0.368201i \(0.120026\pi\)
\(68\) 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 \(-0.924016\pi\)
0.971644 0.236450i \(-0.0759838\pi\)
\(72\) −5.88588 6.11199i −0.693657 0.720305i
\(73\) 5.45461i 0.638414i −0.947685 0.319207i \(-0.896583\pi\)
0.947685 0.319207i \(-0.103417\pi\)
\(74\) −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 −0.982934 0.183959i \(-0.941109\pi\)
0.650780 + 0.759266i \(0.274442\pi\)
\(80\) 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 −0.777048 0.629441i \(-0.783284\pi\)
−0.358223 + 0.933636i \(0.616617\pi\)
\(84\) −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 \(-0.962069\pi\)
0.992908 0.118883i \(-0.0379312\pi\)
\(90\) −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 −0.320402 0.947282i \(-0.603818\pi\)
0.980571 0.196165i \(-0.0628488\pi\)
\(98\) −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 −0.978194 0.207696i \(-0.933404\pi\)
0.743293 0.668966i \(-0.233263\pi\)
\(102\) 10.0916 + 12.2427i 0.999216 + 1.21221i
\(103\) −3.73262 + 2.15503i −0.367786 + 0.212342i −0.672491 0.740105i \(-0.734776\pi\)
0.304705 + 0.952447i \(0.401442\pi\)
\(104\) 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 −0.704604 0.709601i \(-0.748875\pi\)
0.709601 + 0.704604i \(0.248875\pi\)
\(108\) −9.30630 4.62524i −0.895499 0.445064i
\(109\) 5.73510 + 5.73510i 0.549323 + 0.549323i 0.926245 0.376922i \(-0.123018\pi\)
−0.376922 + 0.926245i \(0.623018\pi\)
\(110\) 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 0.977543 + 0.210737i \(0.0675862\pi\)
−0.306268 + 0.951945i \(0.599080\pi\)
\(114\) 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 0.411822 + 0.911264i \(0.364892\pi\)
−0.812281 + 0.583267i \(0.801774\pi\)
\(132\) 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 0.0288677 0.999583i \(-0.490810\pi\)
−0.851231 + 0.524792i \(0.824143\pi\)
\(138\) 9.80970 + 3.66797i 0.835057 + 0.312239i
\(139\) 6.50347 + 1.74260i 0.551617 + 0.147805i 0.523852 0.851809i \(-0.324494\pi\)
0.0277649 + 0.999614i \(0.491161\pi\)
\(140\) 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 −0.210363 0.977623i \(-0.567465\pi\)
−0.670991 + 0.741465i \(0.734131\pi\)
\(150\) −1.13040 6.75605i −0.0922969 0.551629i
\(151\) −18.9045 10.9145i −1.53842 0.888210i −0.998931 0.0462196i \(-0.985283\pi\)
−0.539493 0.841990i \(-0.681384\pi\)
\(152\) 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 0.822340 + 0.568996i \(0.192668\pi\)
−0.996666 + 0.0815954i \(0.973998\pi\)
\(158\) −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 0.381442 0.924393i \(-0.375428\pi\)
−0.924393 + 0.381442i \(0.875428\pi\)
\(164\) −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 −0.188570 0.982060i \(-0.560385\pi\)
0.756204 + 0.654336i \(0.227052\pi\)
\(168\) 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 −0.473116 0.881000i \(-0.656871\pi\)
0.0307700 + 0.999526i \(0.490204\pi\)
\(174\) 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 0.322782 0.946473i \(-0.395382\pi\)
−0.946473 + 0.322782i \(0.895382\pi\)
\(180\) 7.34492 15.0574i 0.547458 1.12231i
\(181\) −13.3444 + 13.3444i −0.991880 + 0.991880i −0.999967 0.00808779i \(-0.997426\pi\)
0.00808779 + 0.999967i \(0.497426\pi\)
\(182\) −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 −0.896508 0.443027i \(-0.853904\pi\)
0.831927 + 0.554885i \(0.187238\pi\)
\(192\) −9.94823 + 9.64534i −0.717952 + 0.696093i
\(193\) −8.20588 14.2130i −0.590672 1.02307i −0.994142 0.108081i \(-0.965529\pi\)
0.403470 0.914993i \(-0.367804\pi\)
\(194\) 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 −0.819227 0.573469i \(-0.805597\pi\)
0.573469 + 0.819227i \(0.305597\pi\)
\(198\) 12.7466 + 15.6993i 0.905864 + 1.11570i
\(199\) 15.0093i 1.06398i 0.846751 + 0.531990i \(0.178556\pi\)
−0.846751 + 0.531990i \(0.821444\pi\)
\(200\) 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 0.765437 + 0.643511i \(0.222523\pi\)
−0.984643 + 0.174578i \(0.944144\pi\)
\(212\) −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 −0.857248 0.514905i \(-0.827827\pi\)
0.874544 + 0.484946i \(0.161161\pi\)
\(224\) −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 0.0832432 0.996529i \(-0.473472\pi\)
0.570355 + 0.821398i \(0.306806\pi\)
\(228\) 3.56211 + 3.05076i 0.235907 + 0.202041i
\(229\) −20.6838 5.54222i −1.36683 0.366240i −0.500508 0.865732i \(-0.666854\pi\)
−0.866319 + 0.499491i \(0.833520\pi\)
\(230\) −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 \(0.275525\pi\)
−0.648194 + 0.761476i \(0.724475\pi\)
\(234\) −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 0.873033 0.487662i \(-0.162150\pi\)
−0.858844 + 0.512238i \(0.828817\pi\)
\(240\) 3.11559 + 19.0925i 0.201110 + 1.23242i
\(241\) 7.67406 13.2919i 0.494330 0.856204i −0.505649 0.862739i \(-0.668747\pi\)
0.999979 + 0.00653501i \(0.00208017\pi\)
\(242\) 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 −0.407081 0.913392i \(-0.633453\pi\)
0.913392 + 0.407081i \(0.133453\pi\)
\(252\) 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 0.974987 0.222262i \(-0.0713439\pi\)
−0.679978 + 0.733233i \(0.738011\pi\)
\(258\) 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 0.908687 0.417478i \(-0.137086\pi\)
0.0927966 + 0.995685i \(0.470419\pi\)
\(264\) −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 0.160269 0.987073i \(-0.448764\pi\)
−0.987073 + 0.160269i \(0.948764\pi\)
\(270\) 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 0.914545 + 0.404483i \(0.132549\pi\)
−0.589778 + 0.807565i \(0.700785\pi\)
\(278\) −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 0.782899 0.622149i \(-0.213740\pi\)
−0.147347 + 0.989085i \(0.547073\pi\)
\(282\) −8.78128 + 1.46926i −0.522917 + 0.0874930i
\(283\) 12.8013 + 3.43009i 0.760957 + 0.203898i 0.618373 0.785885i \(-0.287792\pi\)
0.142584 + 0.989783i \(0.454459\pi\)
\(284\) −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 0.820948 0.571003i \(-0.193446\pi\)
0.425460 + 0.904977i \(0.360112\pi\)
\(294\) 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 0.597126 0.802147i \(-0.296309\pi\)
−0.802147 + 0.597126i \(0.796309\pi\)
\(308\) −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 −0.724231 0.689557i \(-0.757805\pi\)
0.235058 + 0.971981i \(0.424472\pi\)
\(312\) 5.27211 + 5.39408i 0.298475 + 0.305379i
\(313\) −22.1588 12.7934i −1.25249 0.723124i −0.280885 0.959741i \(-0.590628\pi\)
−0.971603 + 0.236617i \(0.923961\pi\)
\(314\) −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 0.280957 0.959720i \(-0.409348\pi\)
0.723176 + 0.690664i \(0.242682\pi\)
\(318\) −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 0.952134 + 0.305680i \(0.0988836\pi\)
−0.671733 + 0.740794i \(0.734450\pi\)
\(332\) 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 0.941726 0.336380i \(-0.109203\pi\)
−0.762177 + 0.647369i \(0.775869\pi\)
\(338\) −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 0.171881 0.985118i \(-0.445016\pi\)
−0.343706 + 0.939077i \(0.611682\pi\)
\(348\) −3.64919 + 1.28664i −0.195617 + 0.0689711i
\(349\) −22.0000 + 5.89488i −1.17763 + 0.315546i −0.793987 0.607935i \(-0.791998\pi\)
−0.383645 + 0.923480i \(0.625331\pi\)
\(350\) 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 −0.188626 0.982049i \(-0.560403\pi\)
0.944792 0.327670i \(-0.106263\pi\)
\(354\) 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 \(0.0621775\pi\)
−0.980982 + 0.194097i \(0.937823\pi\)
\(360\) 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 −0.0500906 + 0.998745i \(0.515951\pi\)
−0.839893 + 0.542752i \(0.817382\pi\)
\(368\) 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 0.815842 0.578275i \(-0.196274\pi\)
0.417402 + 0.908722i \(0.362941\pi\)
\(374\) 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 −0.772329 0.635223i \(-0.780908\pi\)
0.635223 + 0.772329i \(0.280908\pi\)
\(380\) −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 0.774396 0.632701i \(-0.218054\pi\)
−0.935133 + 0.354296i \(0.884721\pi\)
\(384\) −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 0.945135 0.326681i \(-0.105930\pi\)
−0.981851 + 0.189653i \(0.939264\pi\)
\(390\) 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 0.591007 0.806667i \(-0.298731\pi\)
−0.806667 + 0.591007i \(0.798731\pi\)
\(398\) −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 0.651592 0.758570i \(-0.274101\pi\)
−0.982737 + 0.185010i \(0.940768\pi\)
\(402\) 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 −0.739712 0.672924i \(-0.765038\pi\)
0.212913 + 0.977071i \(0.431705\pi\)
\(410\) 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 −0.460367 0.887729i \(-0.652282\pi\)
0.842554 0.538612i \(-0.181051\pi\)
\(420\) 24.5424 + 21.0192i 1.19755 + 1.02563i
\(421\) −5.75964 21.4953i −0.280708 1.04762i −0.951919 0.306350i \(-0.900892\pi\)
0.671211 0.741266i \(-0.265774\pi\)
\(422\) −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 0.387457 0.921888i \(-0.373354\pi\)
−0.604650 + 0.796491i \(0.706687\pi\)
\(440\) 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 0.998711 + 0.0507532i \(0.0161622\pi\)
−0.839533 + 0.543309i \(0.817171\pi\)
\(444\) −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 0.977064 + 0.212944i \(0.0683053\pi\)
0.672947 + 0.739690i \(0.265028\pi\)
\(458\) 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 −0.977196 0.212339i \(-0.931892\pi\)
−0.740107 + 0.672489i \(0.765225\pi\)
\(462\) −35.4926 + 16.1738i −1.65126 + 0.752475i
\(463\) −17.7637 30.7676i −0.825549 1.42989i −0.901499 0.432781i \(-0.857532\pi\)
0.0759497 0.997112i \(-0.475801\pi\)
\(464\) 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 0.190371 0.981712i \(-0.439031\pi\)
−0.981712 + 0.190371i \(0.939031\pi\)
\(468\) 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 −0.978178 0.207769i \(-0.933380\pi\)
0.669023 + 0.743242i \(0.266713\pi\)
\(480\) −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 \(-0.880806\pi\)
0.930706 0.365768i \(-0.119194\pi\)
\(488\) 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 −0.639363 0.768905i \(-0.720802\pi\)
−0.938157 + 0.346209i \(0.887469\pi\)
\(492\) 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 −0.993516 0.113696i \(-0.963731\pi\)
0.917258 + 0.398294i \(0.130398\pi\)
\(500\) 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 \(0.0619849\pi\)
−0.981100 + 0.193503i \(0.938015\pi\)
\(504\) 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 −0.943256 0.332067i \(-0.892254\pi\)
0.982917 + 0.184050i \(0.0589207\pi\)
\(510\) −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 \(-0.887620\pi\)
0.938322 0.345762i \(-0.112380\pi\)
\(522\) −3.67904 + 2.98710i −0.161027 + 0.130742i
\(523\) 6.62449 6.62449i 0.289669 0.289669i −0.547280 0.836949i \(-0.684337\pi\)
0.836949 + 0.547280i \(0.184337\pi\)
\(524\) 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 0.829587 + 0.558377i \(0.188576\pi\)
0.558377 + 0.829587i \(0.311424\pi\)
\(542\) −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 −0.414150 0.910209i \(-0.635921\pi\)
0.0964402 + 0.995339i \(0.469254\pi\)
\(548\) −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 0.999384 + 0.0350828i \(0.0111695\pi\)
0.0350828 + 0.999384i \(0.488830\pi\)
\(558\) 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 −0.860750 0.509028i \(-0.830005\pi\)
0.999945 0.0104567i \(-0.00332852\pi\)
\(564\) 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 0.888012 0.459819i \(-0.152086\pi\)
0.0457910 + 0.998951i \(0.485419\pi\)
\(570\) −3.24309 + 8.67337i −0.135838 + 0.363287i
\(571\) 33.6207 + 9.00865i 1.40698 + 0.377000i 0.880848 0.473400i \(-0.156973\pi\)
0.526136 + 0.850400i \(0.323640\pi\)
\(572\) −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 0.805247 + 0.592939i \(0.202033\pi\)
−0.400895 + 0.916124i \(0.631301\pi\)
\(588\) 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 −0.465938 0.884818i \(-0.654283\pi\)
0.533306 + 0.845923i \(0.320950\pi\)
\(600\) −11.9420 + 6.71386i −0.487531 + 0.274092i
\(601\) −11.7530 6.78561i −0.479416 0.276791i 0.240757 0.970585i \(-0.422604\pi\)
−0.720173 + 0.693794i \(0.755938\pi\)
\(602\) 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 0.794611 0.607119i \(-0.207675\pi\)
−0.923086 + 0.384594i \(0.874341\pi\)
\(608\) 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 −0.743112 0.669167i \(-0.766651\pi\)
0.669167 + 0.743112i \(0.266651\pi\)
\(614\) 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 −0.420971 0.907074i \(-0.638311\pi\)
0.575064 + 0.818109i \(0.304977\pi\)
\(618\) 9.88878 + 3.69754i 0.397785 + 0.148737i
\(619\) 3.75899 + 14.0287i 0.151087 + 0.563863i 0.999409 + 0.0343824i \(0.0109464\pi\)
−0.848322 + 0.529480i \(0.822387\pi\)
\(620\) −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 \(0.233408\pi\)
−0.742987 + 0.669305i \(0.766592\pi\)
\(632\) −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 −0.0884843 + 0.996078i \(0.528202\pi\)
−0.818386 + 0.574668i \(0.805131\pi\)
\(642\) −0.178218 0.0171649i −0.00703370 0.000677445i
\(643\) 6.92565 25.8469i 0.273121 1.01930i −0.683969 0.729511i \(-0.739748\pi\)
0.957090 0.289790i \(-0.0935855\pi\)
\(644\) −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 \(0.0721662\pi\)
−0.974410 + 0.224780i \(0.927834\pi\)
\(648\) 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 −0.758143 0.652088i \(-0.773893\pi\)
0.982615 0.185653i \(-0.0594401\pi\)
\(654\) 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 0.302723 0.953079i \(-0.402104\pi\)
0.738705 + 0.674029i \(0.235438\pi\)
\(660\) −3.55446 45.9665i −0.138357 1.78924i
\(661\) 9.68293 + 2.59453i 0.376622 + 0.100916i 0.442164 0.896934i \(-0.354211\pi\)
−0.0655417 + 0.997850i \(0.520878\pi\)
\(662\) −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 0.337106 + 0.941467i \(0.390552\pi\)
−0.983887 + 0.178791i \(0.942782\pi\)
\(674\) −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 0.961517 + 0.274747i \(0.0885941\pi\)
−0.695324 + 0.718696i \(0.744739\pi\)
\(678\) 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 −0.866922 0.498443i \(-0.833905\pi\)
0.498443 + 0.866922i \(0.333905\pi\)
\(684\) −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 −0.879545 0.475815i \(-0.842153\pi\)
−0.523801 + 0.851841i \(0.675486\pi\)
\(692\) 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 0.0638873 0.997957i \(-0.479650\pi\)
−0.997957 + 0.0638873i \(0.979650\pi\)
\(702\) 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 −0.957024 0.290010i \(-0.906341\pi\)
0.683802 0.729668i \(-0.260325\pi\)
\(710\) −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 0.562580 0.826743i \(-0.309809\pi\)
−0.434690 + 0.900580i \(0.643142\pi\)
\(728\) −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 −0.517011 0.855979i \(-0.672955\pi\)
0.875734 0.482794i \(-0.160378\pi\)
\(734\) −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 0.761217 0.648497i \(-0.224602\pi\)
−0.648497 + 0.761217i \(0.724602\pi\)
\(740\) −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 −0.937394 0.348272i \(-0.886769\pi\)
−0.167085 + 0.985943i \(0.553435\pi\)
\(744\) −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 0.706676 0.707537i \(-0.250194\pi\)
−0.966083 + 0.258231i \(0.916861\pi\)
\(752\) 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 −0.667684 0.744445i \(-0.732714\pi\)
0.744445 + 0.667684i \(0.232714\pi\)
\(758\) −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 −0.766186 0.642619i \(-0.777848\pi\)
0.173431 + 0.984846i \(0.444515\pi\)
\(762\) 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 0.922288 0.386503i \(-0.126317\pi\)
−0.795866 + 0.605473i \(0.792984\pi\)
\(770\) −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 8.54407i