Properties

Label 144.2.x.e.13.6
Level $144$
Weight $2$
Character 144.13
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 13.6
Character \(\chi\) \(=\) 144.13
Dual form 144.2.x.e.133.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.595953 - 1.28251i) q^{2} +(1.66966 - 0.460673i) q^{3} +(-1.28968 + 1.52863i) q^{4} +(0.722679 + 2.69708i) q^{5} +(-1.58586 - 1.86683i) q^{6} +(2.89314 - 1.67035i) q^{7} +(2.72908 + 0.743037i) q^{8} +(2.57556 - 1.53834i) q^{9} +O(q^{10})\) \(q+(-0.595953 - 1.28251i) q^{2} +(1.66966 - 0.460673i) q^{3} +(-1.28968 + 1.52863i) q^{4} +(0.722679 + 2.69708i) q^{5} +(-1.58586 - 1.86683i) 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} +(-4.60405 - 1.23365i) q^{11} +(-1.44913 + 3.14643i) q^{12} +(-1.48717 + 0.398486i) q^{13} +(-3.86642 - 2.71503i) q^{14} +(2.44910 + 4.17029i) q^{15} +(-0.673450 - 3.94290i) q^{16} -6.47719 q^{17} +(-3.50785 - 2.38641i) q^{18} +(0.957336 + 0.957336i) q^{19} +(-5.05487 - 2.37365i) q^{20} +(4.06108 - 4.12172i) q^{21} +(1.16162 + 6.63995i) q^{22} +(3.70277 + 2.13780i) q^{23} +(4.89895 - 0.0165920i) q^{24} +(-2.42183 + 1.39824i) q^{25} +(1.39735 + 1.66984i) q^{26} +(3.59165 - 3.75500i) q^{27} +(-1.17786 + 6.57677i) q^{28} +(0.289099 - 1.07893i) q^{29} +(3.88891 - 5.62631i) q^{30} +(1.89670 - 3.28518i) q^{31} +(-4.65548 + 3.21349i) q^{32} +(-8.25552 + 0.0611777i) q^{33} +(3.86010 + 8.30708i) q^{34} +(6.59588 + 6.59588i) q^{35} +(-0.970090 + 5.92106i) q^{36} +(-6.14639 + 6.14639i) q^{37} +(0.657269 - 1.79832i) q^{38} +(-2.29950 + 1.35044i) q^{39} +(-0.0317762 + 7.89752i) q^{40} +(-5.04156 - 2.91075i) q^{41} +(-7.70638 - 2.75204i) q^{42} +(-6.31788 - 1.69287i) q^{43} +(7.82355 - 5.44689i) q^{44} +(6.01032 + 5.83476i) q^{45} +(0.535074 - 6.02288i) q^{46} +(1.81739 + 3.14781i) q^{47} +(-2.94082 - 6.27308i) q^{48} +(2.08016 - 3.60295i) q^{49} +(3.23656 + 2.27274i) q^{50} +(-10.8147 + 2.98387i) q^{51} +(1.30883 - 2.78726i) q^{52} +(0.762460 - 0.762460i) q^{53} +(-6.95630 - 2.36854i) q^{54} -13.3090i q^{55} +(9.13675 - 2.40882i) q^{56} +(2.03945 + 1.15741i) q^{57} +(-1.55603 + 0.272219i) q^{58} +(2.17434 + 8.11476i) q^{59} +(-9.53342 - 1.63456i) q^{60} +(-1.80788 + 6.74711i) 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} +(4.99836 + 10.5514i) q^{66} +(1.81878 - 0.487339i) q^{67} +(8.35350 - 9.90126i) q^{68} +(7.16721 + 1.86364i) q^{69} +(4.52847 - 12.3901i) q^{70} -3.98472i q^{71} +(8.17196 - 2.28452i) q^{72} -5.45461i q^{73} +(11.5458 + 4.21987i) q^{74} +(-3.39951 + 3.45027i) q^{75} +(-2.69807 + 0.228760i) q^{76} +(-15.3808 + 4.12126i) q^{77} +(3.10235 + 2.14435i) 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} +(2.77135 - 10.3428i) q^{83} +(1.06311 + 11.5236i) q^{84} +(-4.68093 - 17.4695i) q^{85} +(1.59403 + 9.11164i) q^{86} +(-0.0143366 - 1.93463i) q^{87} +(-11.6482 - 6.78771i) q^{88} -2.24307i q^{89} +(3.90128 - 11.1856i) q^{90} +(-3.63698 + 3.63698i) q^{91} +(-8.04330 + 2.90311i) q^{92} +(1.65346 - 6.35891i) q^{93} +(2.95403 - 4.20677i) q^{94} +(-1.89016 + 3.27385i) q^{95} +(-6.29272 + 7.51011i) q^{96} +(6.50191 + 11.2616i) q^{97} +(-5.86050 - 0.520649i) q^{98} +(-13.7558 + 3.90524i) 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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.595953 1.28251i −0.421402 0.906874i
\(3\) 1.66966 0.460673i 0.963981 0.265970i
\(4\) −1.28968 + 1.52863i −0.644840 + 0.764317i
\(5\) 0.722679 + 2.69708i 0.323192 + 1.20617i 0.916117 + 0.400911i \(0.131306\pi\)
−0.592925 + 0.805258i \(0.702027\pi\)
\(6\) −1.58586 1.86683i −0.647425 0.762129i
\(7\) 2.89314 1.67035i 1.09350 0.631334i 0.158996 0.987279i \(-0.449174\pi\)
0.934507 + 0.355945i \(0.115841\pi\)
\(8\) 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
\(11\) −4.60405 1.23365i −1.38817 0.371960i −0.514089 0.857737i \(-0.671870\pi\)
−0.874083 + 0.485777i \(0.838537\pi\)
\(12\) −1.44913 + 3.14643i −0.418329 + 0.908296i
\(13\) −1.48717 + 0.398486i −0.412467 + 0.110520i −0.459084 0.888393i \(-0.651822\pi\)
0.0466175 + 0.998913i \(0.485156\pi\)
\(14\) −3.86642 2.71503i −1.03335 0.725624i
\(15\) 2.44910 + 4.17029i 0.632356 + 1.07677i
\(16\) −0.673450 3.94290i −0.168362 0.985725i
\(17\) −6.47719 −1.57095 −0.785475 0.618894i \(-0.787581\pi\)
−0.785475 + 0.618894i \(0.787581\pi\)
\(18\) −3.50785 2.38641i −0.826809 0.562483i
\(19\) 0.957336 + 0.957336i 0.219628 + 0.219628i 0.808342 0.588714i \(-0.200365\pi\)
−0.588714 + 0.808342i \(0.700365\pi\)
\(20\) −5.05487 2.37365i −1.13030 0.530765i
\(21\) 4.06108 4.12172i 0.886201 0.899433i
\(22\) 1.16162 + 6.63995i 0.247659 + 1.41564i
\(23\) 3.70277 + 2.13780i 0.772081 + 0.445761i 0.833617 0.552343i \(-0.186266\pi\)
−0.0615352 + 0.998105i \(0.519600\pi\)
\(24\) 4.89895 0.0165920i 0.999994 0.00338683i
\(25\) −2.42183 + 1.39824i −0.484365 + 0.279648i
\(26\) 1.39735 + 1.66984i 0.274042 + 0.327482i
\(27\) 3.59165 3.75500i 0.691214 0.722651i
\(28\) −1.17786 + 6.57677i −0.222595 + 1.24289i
\(29\) 0.289099 1.07893i 0.0536843 0.200353i −0.933875 0.357600i \(-0.883595\pi\)
0.987559 + 0.157247i \(0.0502619\pi\)
\(30\) 3.88891 5.62631i 0.710014 1.02722i
\(31\) 1.89670 3.28518i 0.340657 0.590036i −0.643898 0.765112i \(-0.722684\pi\)
0.984555 + 0.175076i \(0.0560171\pi\)
\(32\) −4.65548 + 3.21349i −0.822980 + 0.568070i
\(33\) −8.25552 + 0.0611777i −1.43710 + 0.0106497i
\(34\) 3.86010 + 8.30708i 0.662002 + 1.42465i
\(35\) 6.59588 + 6.59588i 1.11491 + 1.11491i
\(36\) −0.970090 + 5.92106i −0.161682 + 0.986843i
\(37\) −6.14639 + 6.14639i −1.01046 + 1.01046i −0.0105160 + 0.999945i \(0.503347\pi\)
−0.999945 + 0.0105160i \(0.996653\pi\)
\(38\) 0.657269 1.79832i 0.106623 0.291726i
\(39\) −2.29950 + 1.35044i −0.368215 + 0.216243i
\(40\) −0.0317762 + 7.89752i −0.00502426 + 1.24871i
\(41\) −5.04156 2.91075i −0.787359 0.454582i 0.0516729 0.998664i \(-0.483545\pi\)
−0.839032 + 0.544082i \(0.816878\pi\)
\(42\) −7.70638 2.75204i −1.18912 0.424649i
\(43\) −6.31788 1.69287i −0.963468 0.258160i −0.257400 0.966305i \(-0.582866\pi\)
−0.706068 + 0.708144i \(0.749533\pi\)
\(44\) 7.82355 5.44689i 1.17944 0.821150i
\(45\) 6.01032 + 5.83476i 0.895966 + 0.869794i
\(46\) 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 \(0.747931\pi\)
\(48\) −2.94082 6.27308i −0.424471 0.905441i
\(49\) 2.08016 3.60295i 0.297166 0.514707i
\(50\) 3.23656 + 2.27274i 0.457719 + 0.321414i
\(51\) −10.8147 + 2.98387i −1.51437 + 0.417825i
\(52\) 1.30883 2.78726i 0.181503 0.386524i
\(53\) 0.762460 0.762460i 0.104732 0.104732i −0.652799 0.757531i \(-0.726405\pi\)
0.757531 + 0.652799i \(0.226405\pi\)
\(54\) −6.95630 2.36854i −0.946632 0.322317i
\(55\) 13.3090i 1.79458i
\(56\) 9.13675 2.40882i 1.22095 0.321893i
\(57\) 2.03945 + 1.15741i 0.270132 + 0.153303i
\(58\) −1.55603 + 0.272219i −0.204317 + 0.0357442i
\(59\) 2.17434 + 8.11476i 0.283075 + 1.05645i 0.950234 + 0.311536i \(0.100844\pi\)
−0.667159 + 0.744915i \(0.732490\pi\)
\(60\) −9.53342 1.63456i −1.23076 0.211021i
\(61\) −1.80788 + 6.74711i −0.231476 + 0.863879i 0.748230 + 0.663439i \(0.230904\pi\)
−0.979706 + 0.200440i \(0.935763\pi\)
\(62\) −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
\(66\) 4.99836 + 10.5514i 0.615256 + 1.29878i
\(67\) 1.81878 0.487339i 0.222199 0.0595380i −0.146002 0.989284i \(-0.546641\pi\)
0.368201 + 0.929746i \(0.379974\pi\)
\(68\) 8.35350 9.90126i 1.01301 1.20070i
\(69\) 7.16721 + 1.86364i 0.862831 + 0.224355i
\(70\) 4.52847 12.3901i 0.541256 1.48090i
\(71\) 3.98472i 0.472899i −0.971644 0.236450i \(-0.924016\pi\)
0.971644 0.236450i \(-0.0759838\pi\)
\(72\) 8.17196 2.28452i 0.963075 0.269233i
\(73\) 5.45461i 0.638414i −0.947685 0.319207i \(-0.896583\pi\)
0.947685 0.319207i \(-0.103417\pi\)
\(74\) 11.5458 + 4.21987i 1.34217 + 0.490550i
\(75\) −3.39951 + 3.45027i −0.392541 + 0.398402i
\(76\) −2.69807 + 0.228760i −0.309490 + 0.0262406i
\(77\) −15.3808 + 4.12126i −1.75280 + 0.469662i
\(78\) 3.10235 + 2.14435i 0.351272 + 0.242800i
\(79\) −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
\(83\) 2.77135 10.3428i 0.304195 1.13527i −0.629441 0.777048i \(-0.716716\pi\)
0.933636 0.358223i \(-0.116617\pi\)
\(84\) 1.06311 + 11.5236i 0.115995 + 1.25733i
\(85\) −4.68093 17.4695i −0.507718 1.89483i
\(86\) 1.59403 + 9.11164i 0.171889 + 0.982533i
\(87\) −0.0143366 1.93463i −0.00153705 0.207415i
\(88\) −11.6482 6.78771i −1.24170 0.723573i
\(89\) 2.24307i 0.237765i −0.992908 0.118883i \(-0.962069\pi\)
0.992908 0.118883i \(-0.0379312\pi\)
\(90\) 3.90128 11.1856i 0.411231 1.17906i
\(91\) −3.63698 + 3.63698i −0.381259 + 0.381259i
\(92\) −8.04330 + 2.90311i −0.838572 + 0.302671i
\(93\) 1.65346 6.35891i 0.171456 0.659388i
\(94\) 2.95403 4.20677i 0.304685 0.433895i
\(95\) −1.89016 + 3.27385i −0.193926 + 0.335890i
\(96\) −6.29272 + 7.51011i −0.642248 + 0.766497i
\(97\) 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
\(99\) −13.7558 + 3.90524i −1.38251 + 0.392492i
\(100\) 0.985980 5.50537i 0.0985980 0.550537i
\(101\) 8.81034 + 2.36072i 0.876662 + 0.234901i 0.668966 0.743293i \(-0.266737\pi\)
0.207696 + 0.978194i \(0.433404\pi\)
\(102\) 10.2719 + 12.0918i 1.01707 + 1.19727i
\(103\) 3.73262 + 2.15503i 0.367786 + 0.212342i 0.672491 0.740105i \(-0.265224\pi\)
−0.304705 + 0.952447i \(0.598558\pi\)
\(104\) −4.35470 0.0175214i −0.427014 0.00171812i
\(105\) 14.0515 + 7.97436i 1.37128 + 0.778218i
\(106\) −1.43225 0.523475i −0.139113 0.0508443i
\(107\) 0.0516852 0.0516852i 0.00499659 0.00499659i −0.704604 0.709601i \(-0.748875\pi\)
0.709601 + 0.704604i \(0.248875\pi\)
\(108\) 1.10795 + 10.3331i 0.106612 + 0.994301i
\(109\) 5.73510 + 5.73510i 0.549323 + 0.549323i 0.926245 0.376922i \(-0.123018\pi\)
−0.376922 + 0.926245i \(0.623018\pi\)
\(110\) −17.0690 + 7.93153i −1.62746 + 0.756242i
\(111\) −7.43094 + 13.0939i −0.705313 + 1.24282i
\(112\) −8.53442 10.2825i −0.806427 0.971600i
\(113\) 7.13575 12.3595i 0.671275 1.16268i −0.306268 0.951945i \(-0.599080\pi\)
0.977543 0.210737i \(-0.0675862\pi\)
\(114\) 0.268979 3.30538i 0.0251922 0.309577i
\(115\) −3.08988 + 11.5316i −0.288133 + 1.07533i
\(116\) 1.27645 + 1.83340i 0.118515 + 0.170227i
\(117\) −3.21729 + 3.31410i −0.297439 + 0.306389i
\(118\) 9.11148 7.62464i 0.838780 0.701905i
\(119\) −18.7394 + 10.8192i −1.71784 + 0.991794i
\(120\) 3.58512 + 13.2009i 0.327275 + 1.20507i
\(121\) 10.1491 + 5.85956i 0.922642 + 0.532688i
\(122\) 9.73068 1.70233i 0.880974 0.154121i
\(123\) −9.75861 2.53746i −0.879905 0.228795i
\(124\) 2.57570 + 7.13619i 0.231305 + 0.640849i
\(125\) 4.35061 + 4.35061i 0.389131 + 0.389131i
\(126\) −14.1349 1.04486i −1.25923 0.0930839i
\(127\) −16.2634 −1.44315 −0.721573 0.692338i \(-0.756581\pi\)
−0.721573 + 0.692338i \(0.756581\pi\)
\(128\) 1.09182 11.2609i 0.0965043 0.995333i
\(129\) −11.3286 + 0.0839508i −0.997428 + 0.00739146i
\(130\) −3.49384 + 4.97551i −0.306430 + 0.436381i
\(131\) 17.1057 4.58345i 1.49453 0.400458i 0.583267 0.812281i \(-0.301774\pi\)
0.911264 + 0.411822i \(0.135108\pi\)
\(132\) 10.5535 12.6986i 0.918561 1.10527i
\(133\) 4.36879 + 1.17061i 0.378822 + 0.101505i
\(134\) −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 \(-0.509190\pi\)
0.851231 + 0.524792i \(0.175857\pi\)
\(138\) −1.88118 10.3027i −0.160137 0.877023i
\(139\) −1.74260 6.50347i −0.147805 0.551617i −0.999614 0.0277649i \(-0.991161\pi\)
0.851809 0.523852i \(-0.175506\pi\)
\(140\) −18.5893 + 1.57612i −1.57108 + 0.133206i
\(141\) 4.48454 + 4.41856i 0.377666 + 0.372110i
\(142\) −5.11045 + 2.37470i −0.428860 + 0.199281i
\(143\) 7.33859 0.613684
\(144\) −7.80003 9.11918i −0.650003 0.759932i
\(145\) 3.11889 0.259009
\(146\) −6.99561 + 3.25069i −0.578961 + 0.269029i
\(147\) 1.81339 6.97399i 0.149566 0.575205i
\(148\) −1.46871 17.3225i −0.120727 1.42390i
\(149\) 2.88268 + 10.7583i 0.236158 + 0.881354i 0.977623 + 0.210363i \(0.0674645\pi\)
−0.741465 + 0.670991i \(0.765869\pi\)
\(150\) 6.45096 + 2.30371i 0.526718 + 0.188098i
\(151\) 18.9045 10.9145i 1.53842 0.888210i 0.539493 0.841990i \(-0.318616\pi\)
0.998931 0.0462196i \(-0.0147174\pi\)
\(152\) 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
\(155\) 10.2311 + 2.74141i 0.821780 + 0.220195i
\(156\) 0.901299 5.25674i 0.0721617 0.420876i
\(157\) 8.15189 2.18429i 0.650592 0.174326i 0.0815954 0.996666i \(-0.473998\pi\)
0.568996 + 0.822340i \(0.307332\pi\)
\(158\) −4.79865 + 6.83366i −0.381760 + 0.543657i
\(159\) 0.921807 1.62430i 0.0731041 0.128815i
\(160\) −12.0314 10.2339i −0.951170 0.809057i
\(161\) 14.2835 1.12570
\(162\) −12.7058 0.750081i −0.998262 0.0589319i
\(163\) −6.93193 6.93193i −0.542950 0.542950i 0.381442 0.924393i \(-0.375428\pi\)
−0.924393 + 0.381442i \(0.875428\pi\)
\(164\) 10.9515 3.95277i 0.855166 0.308660i
\(165\) −6.13110 22.2216i −0.477305 1.72995i
\(166\) −14.9164 + 2.60954i −1.15774 + 0.202539i
\(167\) −7.33544 4.23512i −0.567633 0.327723i 0.188570 0.982060i \(-0.439615\pi\)
−0.756204 + 0.654336i \(0.772948\pi\)
\(168\) 14.1456 8.23098i 1.09136 0.635034i
\(169\) −9.20544 + 5.31477i −0.708111 + 0.408828i
\(170\) −19.6152 + 16.4143i −1.50442 + 1.25892i
\(171\) 3.93838 + 0.992969i 0.301176 + 0.0759342i
\(172\) 10.7358 7.47447i 0.818599 0.569923i
\(173\) 1.55897 5.81815i 0.118526 0.442346i −0.881000 0.473116i \(-0.843129\pi\)
0.999526 + 0.0307700i \(0.00979595\pi\)
\(174\) −2.47265 + 1.17134i −0.187451 + 0.0887989i
\(175\) −4.67112 + 8.09061i −0.353103 + 0.611593i
\(176\) −1.76357 + 18.9841i −0.132934 + 1.43098i
\(177\) 7.36868 + 12.5473i 0.553864 + 0.943110i
\(178\) −2.87677 + 1.33677i −0.215623 + 0.100195i
\(179\) −8.34442 8.34442i −0.623692 0.623692i 0.322782 0.946473i \(-0.395382\pi\)
−0.946473 + 0.322782i \(0.895382\pi\)
\(180\) −16.6706 + 1.66262i −1.24255 + 0.123924i
\(181\) −13.3444 + 13.3444i −0.991880 + 0.991880i −0.999967 0.00808779i \(-0.997426\pi\)
0.00808779 + 0.999967i \(0.497426\pi\)
\(182\) 6.83194 + 2.49700i 0.506417 + 0.185090i
\(183\) 0.0896544 + 12.0983i 0.00662744 + 0.894329i
\(184\) 8.51671 + 8.58552i 0.627860 + 0.632933i
\(185\) −21.0192 12.1354i −1.54536 0.892214i
\(186\) −9.14076 + 1.66903i −0.670233 + 0.122379i
\(187\) 29.8213 + 7.99059i 2.18075 + 0.584330i
\(188\) −7.15570 1.28154i −0.521883 0.0934661i
\(189\) 4.11896 16.8631i 0.299610 1.22661i
\(190\) 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 \(0.853904\pi\)
\(192\) 13.3820 + 3.59482i 0.965761 + 0.259434i
\(193\) −8.20588 + 14.2130i −0.590672 + 1.02307i 0.403470 + 0.914993i \(0.367804\pi\)
−0.994142 + 0.108081i \(0.965529\pi\)
\(194\) 10.5684 15.0502i 0.758765 1.08054i
\(195\) −5.30404 5.22601i −0.379830 0.374242i
\(196\) 2.82485 + 7.82646i 0.201775 + 0.559033i
\(197\) −3.44937 + 3.44937i −0.245758 + 0.245758i −0.819227 0.573469i \(-0.805597\pi\)
0.573469 + 0.819227i \(0.305597\pi\)
\(198\) 13.2063 + 15.3146i 0.938532 + 1.08836i
\(199\) 15.0093i 1.06398i 0.846751 + 0.531990i \(0.178556\pi\)
−0.846751 + 0.531990i \(0.821444\pi\)
\(200\) −7.64831 + 2.01641i −0.540817 + 0.142582i
\(201\) 2.81224 1.65155i 0.198360 0.116492i
\(202\) −2.22289 12.7063i −0.156402 0.894009i
\(203\) −0.965795 3.60439i −0.0677855 0.252979i
\(204\) 9.38631 20.3800i 0.657173 1.42689i
\(205\) 4.20707 15.7010i 0.293835 1.09661i
\(206\) 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
\(210\) 1.85322 22.7735i 0.127884 1.57152i
\(211\) 11.8834 3.18415i 0.818089 0.219206i 0.174578 0.984643i \(-0.444144\pi\)
0.643511 + 0.765437i \(0.277477\pi\)
\(212\) 0.182193 + 2.14885i 0.0125131 + 0.147584i
\(213\) −1.83565 6.65314i −0.125777 0.455866i
\(214\) −0.0970888 0.0354850i −0.00663686 0.00242570i
\(215\) 18.2632i 1.24554i
\(216\) 12.5920 7.57898i 0.856779 0.515684i
\(217\) 12.6726i 0.860274i
\(218\) 3.93749 10.7732i 0.266681 0.729653i
\(219\) −2.51279 9.10738i −0.169799 0.615419i
\(220\) 20.3446 + 17.1643i 1.37163 + 1.15722i
\(221\) 9.63269 2.58107i 0.647965 0.173622i
\(222\) 21.2216 + 1.72693i 1.42430 + 0.115904i
\(223\) 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
\(227\) −2.63862 + 9.84745i −0.175131 + 0.653598i 0.821398 + 0.570355i \(0.193194\pi\)
−0.996529 + 0.0832432i \(0.973472\pi\)
\(228\) −4.39949 + 1.62488i −0.291364 + 0.107610i
\(229\) 5.54222 + 20.6838i 0.366240 + 1.36683i 0.865732 + 0.500508i \(0.166854\pi\)
−0.499491 + 0.866319i \(0.666480\pi\)
\(230\) 16.6309 2.90948i 1.09661 0.191845i
\(231\) −23.7822 + 13.9666i −1.56475 + 0.918937i
\(232\) 1.59066 2.72968i 0.104432 0.179212i
\(233\) 23.2468i 1.52295i 0.648194 + 0.761476i \(0.275525\pi\)
−0.648194 + 0.761476i \(0.724475\pi\)
\(234\) 6.16773 + 2.15117i 0.403197 + 0.140627i
\(235\) −7.17649 + 7.17649i −0.468142 + 0.468142i
\(236\) −15.2087 7.14167i −0.990003 0.464883i
\(237\) −7.28488 7.17771i −0.473204 0.466242i
\(238\) 25.0436 + 17.5858i 1.62333 + 1.13992i
\(239\) 0.219358 0.379939i 0.0141891 0.0245762i −0.858844 0.512238i \(-0.828817\pi\)
0.873033 + 0.487662i \(0.162150\pi\)
\(240\) 14.7937 12.4651i 0.954930 0.804616i
\(241\) 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
\(243\) 3.47405 15.1964i 0.222860 0.974850i
\(244\) −7.98228 11.4652i −0.511013 0.733985i
\(245\) 11.2207 + 3.00658i 0.716865 + 0.192083i
\(246\) 2.56135 + 14.0278i 0.163306 + 0.894377i
\(247\) −1.80521 1.04224i −0.114863 0.0663159i
\(248\) 7.61726 7.55621i 0.483696 0.479820i
\(249\) −0.137433 18.5457i −0.00870948 1.17529i
\(250\) 2.98696 8.17248i 0.188912 0.516873i
\(251\) 8.02147 8.02147i 0.506310 0.506310i −0.407081 0.913392i \(-0.633453\pi\)
0.913392 + 0.407081i \(0.133453\pi\)
\(252\) 7.08366 + 18.7508i 0.446228 + 1.18119i
\(253\) −14.4104 14.4104i −0.905977 0.905977i
\(254\) 9.69224 + 20.8581i 0.608145 + 1.30875i
\(255\) −15.8633 27.0118i −0.993399 1.69154i
\(256\) −15.0929 + 5.31069i −0.943308 + 0.331918i
\(257\) 4.72936 8.19149i 0.295009 0.510971i −0.679978 0.733233i \(-0.738011\pi\)
0.974987 + 0.222262i \(0.0713439\pi\)
\(258\) 6.85898 + 14.4791i 0.427022 + 0.901426i
\(259\) −7.51571 + 28.0490i −0.467003 + 1.74288i
\(260\) 8.46332 + 1.51573i 0.524873 + 0.0940016i
\(261\) −0.915171 3.22359i −0.0566477 0.199535i
\(262\) −16.0725 19.2067i −0.992964 1.18660i
\(263\) −16.2413 + 9.37694i −1.00148 + 0.578207i −0.908687 0.417478i \(-0.862914\pi\)
−0.0927966 + 0.995685i \(0.529581\pi\)
\(264\) −22.5755 5.96720i −1.38942 0.367256i
\(265\) 2.60743 + 1.50540i 0.160173 + 0.0924759i
\(266\) −1.10227 6.30066i −0.0675843 0.386319i
\(267\) −1.03332 3.74518i −0.0632384 0.229201i
\(268\) −1.60067 + 3.40876i −0.0977768 + 0.208223i
\(269\) −13.5606 13.5606i −0.826805 0.826805i 0.160269 0.987073i \(-0.448764\pi\)
−0.987073 + 0.160269i \(0.948764\pi\)
\(270\) 1.36095 20.4733i 0.0828247 1.24597i
\(271\) 30.6233 1.86023 0.930115 0.367268i \(-0.119707\pi\)
0.930115 + 0.367268i \(0.119707\pi\)
\(272\) 4.36206 + 25.5389i 0.264489 + 1.54852i
\(273\) −4.39707 + 7.74799i −0.266123 + 0.468930i
\(274\) −12.8637 9.03296i −0.777122 0.545701i
\(275\) 12.8751 3.44988i 0.776400 0.208036i
\(276\) −12.0922 + 8.55256i −0.727867 + 0.514804i
\(277\) −20.1725 5.40521i −1.21205 0.324767i −0.404483 0.914545i \(-0.632549\pi\)
−0.807565 + 0.589778i \(0.799215\pi\)
\(278\) −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 \(-0.786260\pi\)
0.147347 + 0.989085i \(0.452927\pi\)
\(282\) 2.99429 8.38473i 0.178307 0.499304i
\(283\) −3.43009 12.8013i −0.203898 0.760957i −0.989783 0.142584i \(-0.954459\pi\)
0.785885 0.618373i \(-0.212208\pi\)
\(284\) 6.09118 + 5.13901i 0.361445 + 0.304944i
\(285\) −1.64776 + 6.33698i −0.0976047 + 0.375371i
\(286\) −4.37346 9.41184i −0.258608 0.556534i
\(287\) −19.4479 −1.14797
\(288\) −7.04702 + 15.4382i −0.415250 + 0.909707i
\(289\) 24.9540 1.46788
\(290\) −1.85871 4.00001i −0.109147 0.234889i
\(291\) 16.0440 + 15.8079i 0.940513 + 0.926676i
\(292\) 8.33811 + 7.03471i 0.487951 + 0.411675i
\(293\) −5.71672 21.3351i −0.333974 1.24641i −0.904977 0.425460i \(-0.860112\pi\)
0.571003 0.820948i \(-0.306554\pi\)
\(294\) −10.0249 + 1.83047i −0.584666 + 0.106755i
\(295\) −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
\(299\) −6.35854 1.70377i −0.367724 0.0985313i
\(300\) −0.889922 9.64634i −0.0513797 0.556932i
\(301\) −21.1062 + 5.65539i −1.21654 + 0.325971i
\(302\) −25.2642 17.7407i −1.45379 1.02086i
\(303\) 15.7978 0.117070i 0.907562 0.00672551i
\(304\) 3.12996 4.41940i 0.179516 0.253470i
\(305\) −19.5040 −1.11680
\(306\) 22.7210 + 15.4572i 1.29887 + 0.883632i
\(307\) −3.59225 3.59225i −0.205021 0.205021i 0.597126 0.802147i \(-0.296309\pi\)
−0.802147 + 0.597126i \(0.796309\pi\)
\(308\) 13.5364 28.8267i 0.771306 1.64255i
\(309\) 7.22499 + 1.87866i 0.411016 + 0.106873i
\(310\) −2.58135 14.7552i −0.146611 0.838042i
\(311\) 8.62665 + 4.98060i 0.489173 + 0.282424i 0.724231 0.689557i \(-0.242195\pi\)
−0.235058 + 0.971981i \(0.575528\pi\)
\(312\) −7.27897 + 1.97684i −0.412090 + 0.111917i
\(313\) 22.1588 12.7934i 1.25249 0.723124i 0.280885 0.959741i \(-0.409372\pi\)
0.971603 + 0.236617i \(0.0760386\pi\)
\(314\) −7.65953 9.15317i −0.432252 0.516543i
\(315\) 27.1348 + 6.84139i 1.52887 + 0.385469i
\(316\) 11.6240 + 2.08180i 0.653903 + 0.117110i
\(317\) −4.79041 + 17.8781i −0.269056 + 1.00413i 0.690664 + 0.723176i \(0.257318\pi\)
−0.959720 + 0.280957i \(0.909348\pi\)
\(318\) −2.63254 0.214226i −0.147625 0.0120132i
\(319\) −2.66205 + 4.61080i −0.149046 + 0.258155i
\(320\) −5.95487 + 21.5294i −0.332888 + 1.20353i
\(321\) 0.0624869 0.110107i 0.00348768 0.00614557i
\(322\) −8.51230 18.3188i −0.474372 1.02087i
\(323\) −6.20084 6.20084i −0.345024 0.345024i
\(324\) 6.61007 + 16.7424i 0.367226 + 0.930132i
\(325\) 3.04449 3.04449i 0.168878 0.168878i
\(326\) −4.75919 + 13.0214i −0.263587 + 0.721188i
\(327\) 12.2177 + 6.93369i 0.675641 + 0.383434i
\(328\) −11.5960 11.6897i −0.640284 0.645457i
\(329\) 10.5159 + 6.07136i 0.579760 + 0.334725i
\(330\) −24.8456 + 21.1062i −1.36771 + 1.16186i
\(331\) −19.0389 5.10146i −1.04647 0.280402i −0.305680 0.952134i \(-0.598884\pi\)
−0.740794 + 0.671733i \(0.765550\pi\)
\(332\) 12.2362 + 17.5753i 0.671550 + 0.964570i
\(333\) −6.37517 + 25.2856i −0.349357 + 1.38564i
\(334\) −1.06002 + 11.9317i −0.0580016 + 0.652875i
\(335\) 2.62878 + 4.55319i 0.143626 + 0.248767i
\(336\) −18.9865 13.2367i −1.03580 0.722120i
\(337\) 3.29609 5.70899i 0.179549 0.310988i −0.762177 0.647369i \(-0.775869\pi\)
0.941726 + 0.336380i \(0.109203\pi\)
\(338\) 12.3023 + 8.63875i 0.669155 + 0.469886i
\(339\) 6.22063 23.9234i 0.337858 1.29934i
\(340\) 32.7414 + 15.3746i 1.77565 + 0.833805i
\(341\) −12.7852 + 12.7852i −0.692360 + 0.692360i
\(342\) −1.07360 5.64279i −0.0580534 0.305127i
\(343\) 9.48653i 0.512224i
\(344\) −15.9842 9.31441i −0.861808 0.502199i
\(345\) 0.153230 + 20.6773i 0.00824961 + 1.11323i
\(346\) −8.39092 + 1.46795i −0.451099 + 0.0789172i
\(347\) 0.857635 + 3.20074i 0.0460403 + 0.171825i 0.985118 0.171881i \(-0.0549845\pi\)
−0.939077 + 0.343706i \(0.888318\pi\)
\(348\) 2.97584 + 2.47314i 0.159522 + 0.132574i
\(349\) 5.89488 22.0000i 0.315546 1.17763i −0.607935 0.793987i \(-0.708002\pi\)
0.923480 0.383645i \(-0.125331\pi\)
\(350\) 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 \(0.560403\pi\)
\(354\) 11.7007 16.9280i 0.621883 0.899713i
\(355\) 10.7471 2.87967i 0.570396 0.152837i
\(356\) 3.42884 + 2.89285i 0.181728 + 0.153321i
\(357\) −26.3044 + 26.6972i −1.39218 + 1.41296i
\(358\) −5.72895 + 15.6747i −0.302784 + 0.828435i
\(359\) 7.35521i 0.388193i 0.980982 + 0.194097i \(0.0621775\pi\)
−0.980982 + 0.194097i \(0.937823\pi\)
\(360\) 12.0672 + 20.3894i 0.635999 + 1.07462i
\(361\) 17.1670i 0.903527i
\(362\) 25.0670 + 9.16172i 1.31749 + 0.481529i
\(363\) 19.6449 + 5.10811i 1.03109 + 0.268106i
\(364\) −0.869073 10.2501i −0.0455518 0.537254i
\(365\) 14.7115 3.94194i 0.770035 0.206330i
\(366\) 15.4628 7.32498i 0.808251 0.382883i
\(367\) −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
\(371\) 0.932323 3.47948i 0.0484038 0.180646i
\(372\) 7.58801 + 10.7285i 0.393420 + 0.556246i
\(373\) −6.38198 23.8179i −0.330447 1.23324i −0.908722 0.417402i \(-0.862941\pi\)
0.578275 0.815842i \(-0.303726\pi\)
\(374\) −7.52404 43.0082i −0.389059 2.22390i
\(375\) 9.26828 + 5.25986i 0.478612 + 0.271618i
\(376\) 2.62086 + 9.94102i 0.135161 + 0.512669i
\(377\) 1.71976i 0.0885720i
\(378\) −24.0818 + 4.76698i −1.23863 + 0.245187i
\(379\) −2.66916 + 2.66916i −0.137106 + 0.137106i −0.772329 0.635223i \(-0.780908\pi\)
0.635223 + 0.772329i \(0.280908\pi\)
\(380\) −2.56682 7.11159i −0.131675 0.364817i
\(381\) −27.1545 + 7.49212i −1.39117 + 0.383833i
\(382\) −1.45074 + 2.06596i −0.0742261 + 0.105704i
\(383\) −3.14570 + 5.44851i −0.160738 + 0.278406i −0.935133 0.354296i \(-0.884721\pi\)
0.774396 + 0.632701i \(0.218054\pi\)
\(384\) −3.36462 19.3049i −0.171700 0.985149i
\(385\) −22.2307 38.5047i −1.13298 1.96238i
\(386\) 23.1187 + 2.05387i 1.17671 + 0.104539i
\(387\) −18.8763 + 5.35895i −0.959536 + 0.272411i
\(388\) −25.6003 4.58487i −1.29966 0.232761i
\(389\) 2.70262 + 0.724164i 0.137028 + 0.0367166i 0.326681 0.945135i \(-0.394070\pi\)
−0.189653 + 0.981851i \(0.560736\pi\)
\(390\) −3.54146 + 9.91695i −0.179329 + 0.502164i
\(391\) −23.9836 13.8469i −1.21290 0.700269i
\(392\) 8.35406 8.28710i 0.421944 0.418562i
\(393\) 26.4493 15.5330i 1.33419 0.783534i
\(394\) 6.47953 + 2.36820i 0.326434 + 0.119308i
\(395\) 11.6578 11.6578i 0.586568 0.586568i
\(396\) 11.7709 26.0641i 0.591508 1.30977i
\(397\) −4.29700 4.29700i −0.215660 0.215660i 0.591007 0.806667i \(-0.298731\pi\)
−0.806667 + 0.591007i \(0.798731\pi\)
\(398\) 19.2496 8.94482i 0.964895 0.448363i
\(399\) 7.83369 0.0580517i 0.392175 0.00290622i
\(400\) 7.14411 + 8.60738i 0.357205 + 0.430369i
\(401\) −6.63116 + 11.4855i −0.331145 + 0.573559i −0.982737 0.185010i \(-0.940768\pi\)
0.651592 + 0.758570i \(0.274101\pi\)
\(402\) −3.79410 2.62249i −0.189233 0.130798i
\(403\) −1.51162 + 5.64143i −0.0752990 + 0.281020i
\(404\) −14.9712 + 10.4232i −0.744846 + 0.518575i
\(405\) 24.4558 + 5.78185i 1.21522 + 0.287303i
\(406\) −4.04712 + 3.38669i −0.200855 + 0.168079i
\(407\) 35.8808 20.7158i 1.77854 1.02684i
\(408\) −31.7314 + 0.107470i −1.57094 + 0.00532054i
\(409\) 10.6538 + 6.15100i 0.526799 + 0.304147i 0.739712 0.672924i \(-0.234962\pi\)
−0.212913 + 0.977071i \(0.568295\pi\)
\(410\) −22.6440 + 3.96143i −1.11831 + 0.195641i
\(411\) 13.5113 13.7130i 0.666462 0.676414i
\(412\) −8.10815 + 2.92652i −0.399460 + 0.144179i
\(413\) 19.8452 + 19.8452i 0.976518 + 0.976518i
\(414\) −7.88712 16.3354i −0.387631 0.802842i
\(415\) 29.8981 1.46764
\(416\) 5.64296 6.63415i 0.276669 0.325266i
\(417\) −5.90553 10.0558i −0.289195 0.492437i
\(418\) −5.24460 + 7.46872i −0.256522 + 0.365307i
\(419\) −29.1965 + 7.82317i −1.42634 + 0.382187i −0.887729 0.460367i \(-0.847718\pi\)
−0.538612 + 0.842554i \(0.681051\pi\)
\(420\) −30.3118 + 11.1952i −1.47906 + 0.546268i
\(421\) 21.4953 + 5.75964i 1.04762 + 0.280708i 0.741266 0.671211i \(-0.234226\pi\)
0.306350 + 0.951919i \(0.400892\pi\)
\(422\) −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
\(426\) −7.43878 + 6.31921i −0.360410 + 0.306167i
\(427\) 6.03961 + 22.5401i 0.292277 + 1.09079i
\(428\) 0.0123504 + 0.145665i 0.000596980 + 0.00704099i
\(429\) 12.2530 3.38069i 0.591580 0.163221i
\(430\) −23.4228 + 10.8840i −1.12955 + 0.524874i
\(431\) 15.3940 0.741505 0.370752 0.928732i \(-0.379100\pi\)
0.370752 + 0.928732i \(0.379100\pi\)
\(432\) −17.2244 11.6327i −0.828709 0.559679i
\(433\) −17.2454 −0.828763 −0.414382 0.910103i \(-0.636002\pi\)
−0.414382 + 0.910103i \(0.636002\pi\)
\(434\) −16.2528 + 7.55229i −0.780160 + 0.362522i
\(435\) 5.20749 1.43679i 0.249680 0.0688887i
\(436\) −16.1633 + 1.37043i −0.774083 + 0.0656317i
\(437\) 1.49821 + 5.59138i 0.0716690 + 0.267472i
\(438\) −10.1828 + 8.65026i −0.486554 + 0.413325i
\(439\) 4.55070 2.62735i 0.217193 0.125397i −0.387457 0.921888i \(-0.626646\pi\)
0.604650 + 0.796491i \(0.293313\pi\)
\(440\) 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
\(443\) −12.5036 3.35032i −0.594062 0.159179i −0.0507532 0.998711i \(-0.516162\pi\)
−0.543309 + 0.839533i \(0.682829\pi\)
\(444\) −10.4323 28.2461i −0.495093 1.34050i
\(445\) 6.04974 1.62102i 0.286785 0.0768438i
\(446\) 0.419838 0.597883i 0.0198799 0.0283106i
\(447\) 9.76916 + 16.6348i 0.462066 + 0.786798i
\(448\) 26.7248 + 0.215062i 1.26263 + 0.0101607i
\(449\) 27.9740 1.32018 0.660088 0.751189i \(-0.270519\pi\)
0.660088 + 0.751189i \(0.270519\pi\)
\(450\) 11.8322 + 0.874649i 0.557775 + 0.0412313i
\(451\) 19.6207 + 19.6207i 0.923904 + 0.923904i
\(452\) 9.69030 + 26.8477i 0.455793 + 1.26281i
\(453\) 26.5361 26.9323i 1.24678 1.26539i
\(454\) 14.2020 2.48456i 0.666532 0.116606i
\(455\) −12.4376 7.18083i −0.583082 0.336643i
\(456\) 4.70582 + 4.67406i 0.220370 + 0.218883i
\(457\) −35.2732 + 20.3650i −1.65001 + 0.952635i −0.672947 + 0.739690i \(0.734972\pi\)
−0.977064 + 0.212944i \(0.931695\pi\)
\(458\) 23.2244 19.4346i 1.08521 0.908118i
\(459\) −23.2638 + 24.3219i −1.08586 + 1.13525i
\(460\) −13.6426 19.5954i −0.636092 0.913639i
\(461\) 9.87984 36.8721i 0.460150 1.71730i −0.212339 0.977196i \(-0.568108\pi\)
0.672489 0.740107i \(-0.265225\pi\)
\(462\) 32.0854 + 22.1775i 1.49275 + 1.03179i
\(463\) −17.7637 + 30.7676i −0.825549 + 1.42989i 0.0759497 + 0.997112i \(0.475801\pi\)
−0.901499 + 0.432781i \(0.857532\pi\)
\(464\) −4.44881 0.413282i −0.206531 0.0191861i
\(465\) 18.3454 0.135949i 0.850746 0.00630447i
\(466\) 29.8144 13.8540i 1.38112 0.641775i
\(467\) −17.1010 17.1010i −0.791341 0.791341i 0.190371 0.981712i \(-0.439031\pi\)
−0.981712 + 0.190371i \(0.939031\pi\)
\(468\) −0.916770 9.19219i −0.0423777 0.424909i
\(469\) 4.44794 4.44794i 0.205387 0.205387i
\(470\) 13.4808 + 4.92709i 0.621822 + 0.227270i
\(471\) 12.6047 7.40239i 0.580793 0.341084i
\(472\) −0.0956059 + 23.7615i −0.00440062 + 1.09371i
\(473\) 26.9994 + 15.5881i 1.24143 + 0.716742i
\(474\) −4.86406 + 13.6205i −0.223414 + 0.625612i
\(475\) −3.65709 0.979914i −0.167799 0.0449615i
\(476\) 7.62923 42.5990i 0.349685 1.95252i
\(477\) 0.790839 3.13668i 0.0362101 0.143619i
\(478\) −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 \(0.933380\pi\)
\(480\) −24.8029 11.5445i −1.13209 0.526934i
\(481\) 6.69148 11.5900i 0.305105 0.528458i
\(482\) 12.4736 17.7634i 0.568158 0.809101i
\(483\) 23.8487 6.58003i 1.08515 0.299402i
\(484\) −22.0462 + 7.95725i −1.00210 + 0.361693i
\(485\) −25.6747 + 25.6747i −1.16583 + 1.16583i
\(486\) −21.5600 + 4.60084i −0.977980 + 0.208698i
\(487\) 16.1436i 0.731536i −0.930706 0.365768i \(-0.880806\pi\)
0.930706 0.365768i \(-0.119194\pi\)
\(488\) −9.94722 + 17.0701i −0.450290 + 0.772728i
\(489\) −14.7673 8.38064i −0.667802 0.378986i
\(490\) −2.83104 16.1825i −0.127893 0.731050i
\(491\) 9.36630 + 34.9555i 0.422695 + 1.57752i 0.768905 + 0.639363i \(0.220802\pi\)
−0.346209 + 0.938157i \(0.612531\pi\)
\(492\) 16.4643 11.6449i 0.742270 0.524990i
\(493\) −1.87255 + 6.98844i −0.0843353 + 0.314744i
\(494\) −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
\(498\) −23.7032 + 11.2286i −1.06217 + 0.503167i
\(499\) 6.35742 1.70347i 0.284597 0.0762576i −0.113696 0.993516i \(-0.536269\pi\)
0.398294 + 0.917258i \(0.369602\pi\)
\(500\) −12.2614 + 1.03960i −0.548347 + 0.0464923i
\(501\) −14.1987 3.69199i −0.634352 0.164946i
\(502\) −15.0681 5.50722i −0.672520 0.245799i
\(503\) 8.67964i 0.387006i 0.981100 + 0.193503i \(0.0619849\pi\)
−0.981100 + 0.193503i \(0.938015\pi\)
\(504\) 19.8267 20.2595i 0.883149 0.902430i
\(505\) 25.4682i 1.13332i
\(506\) −9.89363 + 27.0695i −0.439826 + 1.20339i
\(507\) −12.9216 + 13.1146i −0.573870 + 0.582439i
\(508\) 20.9746 24.8608i 0.930598 1.10302i
\(509\) −3.33942 + 0.894794i −0.148017 + 0.0396611i −0.332067 0.943256i \(-0.607746\pi\)
0.184050 + 0.982917i \(0.441079\pi\)
\(510\) −25.1892 + 36.4426i −1.11540 + 1.61371i
\(511\) −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
\(515\) −3.11479 + 11.6246i −0.137254 + 0.512240i
\(516\) 14.4819 17.4256i 0.637532 0.767118i
\(517\) −4.48404 16.7347i −0.197208 0.735990i
\(518\) 40.4522 7.07689i 1.77737 0.310941i
\(519\) −0.0773105 10.4325i −0.00339355 0.457937i
\(520\) −3.09980 11.7576i −0.135935 0.515606i
\(521\) 15.7843i 0.691524i −0.938322 0.345762i \(-0.887620\pi\)
0.938322 0.345762i \(-0.112380\pi\)
\(522\) −3.58889 + 3.09482i −0.157082 + 0.135457i
\(523\) 6.62449 6.62449i 0.289669 0.289669i −0.547280 0.836949i \(-0.684337\pi\)
0.836949 + 0.547280i \(0.184337\pi\)
\(524\) −15.0544 + 32.0595i −0.657656 + 1.40053i
\(525\) −4.07207 + 15.6605i −0.177720 + 0.683479i
\(526\) 21.7051 + 15.2415i 0.946388 + 0.664561i
\(527\) −12.2853 + 21.2787i −0.535155 + 0.926916i
\(528\) 5.80090 + 32.5095i 0.252452 + 1.41479i
\(529\) −2.35965 4.08703i −0.102593 0.177697i
\(530\) 0.376790 4.24120i 0.0163667 0.184226i
\(531\) 18.0834 + 17.5552i 0.784753 + 0.761830i
\(532\) −7.42379 + 5.16857i −0.321862 + 0.224086i
\(533\) 8.65755 + 2.31978i 0.375000 + 0.100481i
\(534\) −4.18743 + 3.55720i −0.181208 + 0.153935i
\(535\) 0.176751 + 0.102047i 0.00764160 + 0.00441188i
\(536\) 5.32570 + 0.0214283i 0.230035 + 0.000925563i
\(537\) −17.7764 10.0883i −0.767110 0.435344i
\(538\) −9.31017 + 25.4731i −0.401390 + 1.09822i
\(539\) −14.0219 + 14.0219i −0.603967 + 0.603967i
\(540\) −27.0684 + 10.4557i −1.16484 + 0.449942i
\(541\) 32.2832 + 32.2832i 1.38796 + 1.38796i 0.829587 + 0.558377i \(0.188576\pi\)
0.558377 + 0.829587i \(0.311424\pi\)
\(542\) −18.2500 39.2747i −0.783905 1.68699i
\(543\) −16.1332 + 28.4280i −0.692343 + 1.21996i
\(544\) 30.1544 20.8144i 1.29286 0.892410i
\(545\) −11.3234 + 19.6126i −0.485040 + 0.840113i
\(546\) 12.5573 + 1.02187i 0.537405 + 0.0437320i
\(547\) 1.99102 7.43060i 0.0851300 0.317710i −0.910209 0.414150i \(-0.864079\pi\)
0.995339 + 0.0964402i \(0.0307456\pi\)
\(548\) −3.91876 + 21.8810i −0.167401 + 0.934711i
\(549\) 5.72304 + 20.1587i 0.244253 + 0.860354i
\(550\) −12.0975 14.4566i −0.515839 0.616430i
\(551\) 1.30966 0.756135i 0.0557936 0.0322124i
\(552\) 18.1752 + 10.4115i 0.773587 + 0.443144i
\(553\) −17.0825 9.86259i −0.726422 0.419400i
\(554\) 5.08962 + 29.0928i 0.216237 + 1.23603i
\(555\) −40.6854 10.5791i −1.72700 0.449058i
\(556\) 12.1888 + 5.72360i 0.516922 + 0.242735i
\(557\) 24.4143 + 24.4143i 1.03447 + 1.03447i 0.999384 + 0.0350828i \(0.0111695\pi\)
0.0350828 + 0.999384i \(0.488830\pi\)
\(558\) −14.4931 + 6.99762i −0.613543 + 0.296233i
\(559\) 10.0704 0.425931
\(560\) 21.5649 30.4489i 0.911284 1.28670i
\(561\) 53.4726 0.396260i 2.25761 0.0167301i
\(562\) 14.2379 + 9.99795i 0.600588 + 0.421738i
\(563\) −12.3261 + 3.30278i −0.519485 + 0.139196i −0.509028 0.860750i \(-0.669995\pi\)
−0.0104567 + 0.999945i \(0.503329\pi\)
\(564\) −12.5380 + 1.15669i −0.527945 + 0.0487055i
\(565\) 38.4913 + 10.3137i 1.61934 + 0.433901i
\(566\) −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 \(-0.847914\pi\)
−0.0457910 + 0.998951i \(0.514581\pi\)
\(570\) 9.10925 1.66327i 0.381545 0.0696669i
\(571\) −9.00865 33.6207i −0.377000 1.40698i −0.850400 0.526136i \(-0.823640\pi\)
0.473400 0.880848i \(-0.343027\pi\)
\(572\) −9.46444 + 11.2180i −0.395728 + 0.469050i
\(573\) −2.20238 2.16997i −0.0920056 0.0906520i
\(574\) 11.5900 + 24.9422i 0.483758 + 1.04107i
\(575\) −11.9566 −0.498626
\(576\) 23.9994 0.162567i 0.999977 0.00677362i
\(577\) −26.7695 −1.11443 −0.557215 0.830369i \(-0.688130\pi\)
−0.557215 + 0.830369i \(0.688130\pi\)
\(578\) −14.8714 32.0038i −0.618569 1.33118i
\(579\) −7.15352 + 27.5112i −0.297290 + 1.14333i
\(580\) −4.02237 + 4.76764i −0.167020 + 0.197965i
\(581\) −9.25826 34.5523i −0.384097 1.43347i
\(582\) 10.7124 29.9973i 0.444044 1.24343i
\(583\) −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
\(587\) −36.5617 9.79668i −1.50906 0.404352i −0.592939 0.805247i \(-0.702033\pi\)
−0.916124 + 0.400895i \(0.868699\pi\)
\(588\) 8.32198 + 11.7662i 0.343193 + 0.485231i
\(589\) 4.96080 1.32924i 0.204406 0.0547704i
\(590\) 27.1489 + 19.0642i 1.11770 + 0.784860i
\(591\) −4.17026 + 7.34833i −0.171542 + 0.302270i
\(592\) 28.3739 + 20.0953i 1.16616 + 0.825913i
\(593\) −7.98596 −0.327944 −0.163972 0.986465i \(-0.552431\pi\)
−0.163972 + 0.986465i \(0.552431\pi\)
\(594\) 29.1052 + 19.4865i 1.19420 + 0.799540i
\(595\) −42.7228 42.7228i −1.75146 1.75146i
\(596\) −20.1632 9.46820i −0.825919 0.387833i
\(597\) 6.91437 + 25.0605i 0.282986 + 1.02566i
\(598\) 1.60429 + 9.17027i 0.0656042 + 0.375000i
\(599\) −1.64879 0.951932i −0.0673679 0.0388949i 0.465938 0.884818i \(-0.345717\pi\)
−0.533306 + 0.845923i \(0.679050\pi\)
\(600\) −11.8412 + 6.89010i −0.483415 + 0.281287i
\(601\) 11.7530 6.78561i 0.479416 0.276791i −0.240757 0.970585i \(-0.577396\pi\)
0.720173 + 0.693794i \(0.244062\pi\)
\(602\) 19.8314 + 23.6986i 0.808268 + 0.965884i
\(603\) 3.93467 4.05307i 0.160232 0.165054i
\(604\) −7.69643 + 42.9743i −0.313163 + 1.74860i
\(605\) −8.46917 + 31.6074i −0.344321 + 1.28502i
\(606\) −9.56491 20.1912i −0.388548 0.820210i
\(607\) −3.16527 + 5.48241i −0.128474 + 0.222524i −0.923086 0.384594i \(-0.874341\pi\)
0.794611 + 0.607119i \(0.207675\pi\)
\(608\) −7.53324 1.38046i −0.305513 0.0559852i
\(609\) −3.27300 5.57321i −0.132629 0.225838i
\(610\) 11.6235 + 25.0141i 0.470620 + 1.01279i
\(611\) −3.95712 3.95712i −0.160088 0.160088i
\(612\) 6.28346 38.3518i 0.253994 1.55028i
\(613\) −1.83081 + 1.83081i −0.0739458 + 0.0739458i −0.743112 0.669167i \(-0.766651\pi\)
0.669167 + 0.743112i \(0.266651\pi\)
\(614\) −2.46630 + 6.74793i −0.0995317 + 0.272324i
\(615\) −0.208632 28.1535i −0.00841285 1.13526i
\(616\) −45.0376 0.181212i −1.81462 0.00730124i
\(617\) −3.82758 2.20985i −0.154092 0.0889653i 0.420971 0.907074i \(-0.361689\pi\)
−0.575064 + 0.818109i \(0.695023\pi\)
\(618\) −1.89635 10.3857i −0.0762824 0.417776i
\(619\) −14.0287 3.75899i −0.563863 0.151087i −0.0343824 0.999409i \(-0.510946\pi\)
−0.529480 + 0.848322i \(0.677613\pi\)
\(620\) −17.3854 + 12.1040i −0.698216 + 0.486110i
\(621\) 21.3265 6.22570i 0.855803 0.249829i
\(622\) 1.24661 14.0320i 0.0499844 0.562632i
\(623\) −3.74672 6.48952i −0.150109 0.259997i
\(624\) 6.87324 + 8.15727i 0.275150 + 0.326552i
\(625\) −15.5810 + 26.9872i −0.623242 + 1.07949i
\(626\) −29.6133 20.7947i −1.18358 0.831122i
\(627\) −7.96187 7.84474i −0.317967 0.313289i
\(628\) −7.17435 + 15.2783i −0.286288 + 0.609671i
\(629\) 39.8114 39.8114i 1.58738 1.58738i
\(630\) −7.39689 38.8779i −0.294699 1.54893i
\(631\) 33.6255i 1.33861i 0.742987 + 0.669305i \(0.233408\pi\)
−0.742987 + 0.669305i \(0.766592\pi\)
\(632\) −4.25745 16.1486i −0.169352 0.642358i
\(633\) 18.3745 10.7908i 0.730320 0.428898i
\(634\) 25.7837 4.51072i 1.02400 0.179144i
\(635\) −11.7532 43.8637i −0.466413 1.74068i
\(636\) 1.29412 + 3.50393i 0.0513152 + 0.138940i
\(637\) −1.65783 + 6.18711i −0.0656857 + 0.245142i
\(638\) 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 \(-0.528202\pi\)
\(642\) −0.178453 0.0145218i −0.00704297 0.000573130i
\(643\) −25.8469 + 6.92565i −1.01930 + 0.273121i −0.729511 0.683969i \(-0.760252\pi\)
−0.289790 + 0.957090i \(0.593585\pi\)
\(644\) −18.4212 + 21.8343i −0.725895 + 0.860391i
\(645\) −8.41337 30.4934i −0.331276 1.20068i
\(646\) −4.25725 + 11.6481i −0.167499 + 0.458287i
\(647\) 11.4351i 0.449559i 0.974410 + 0.224780i \(0.0721662\pi\)
−0.974410 + 0.224780i \(0.927834\pi\)
\(648\) 17.5330 18.4552i 0.688762 0.724987i
\(649\) 40.0431i 1.57183i
\(650\) −5.71897 2.09023i −0.224316 0.0819854i
\(651\) −5.83794 21.1590i −0.228807 0.829288i
\(652\) 19.5364 1.65642i 0.765103 0.0648703i
\(653\) −21.4075 + 5.73613i −0.837741 + 0.224472i −0.652088 0.758143i \(-0.726107\pi\)
−0.185653 + 0.982615i \(0.559440\pi\)
\(654\) 1.61137 19.8015i 0.0630096 0.774301i
\(655\) 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
\(659\) −7.16348 + 26.7345i −0.279050 + 1.04143i 0.674029 + 0.738705i \(0.264562\pi\)
−0.953079 + 0.302723i \(0.902104\pi\)
\(660\) 41.8758 + 19.2865i 1.63001 + 0.750726i
\(661\) −2.59453 9.68293i −0.100916 0.376622i 0.896934 0.442164i \(-0.145789\pi\)
−0.997850 + 0.0655417i \(0.979122\pi\)
\(662\) 4.80360 + 27.4579i 0.186697 + 1.06718i
\(663\) 14.8943 8.74704i 0.578448 0.339707i
\(664\) 15.2483 26.1672i 0.591750 1.01548i
\(665\) 12.6289i 0.489729i
\(666\) 36.2285 6.89282i 1.40382 0.267091i
\(667\) 3.37700 3.37700i 0.130758 0.130758i
\(668\) 15.9343 5.75126i 0.616517 0.222523i
\(669\) 0.637360 + 0.627984i 0.0246418 + 0.0242792i
\(670\) 4.27289 6.08493i 0.165076 0.235081i
\(671\) 16.6472 28.8337i 0.642656 1.11311i
\(672\) −5.66116 + 32.2388i −0.218384 + 1.24364i
\(673\) −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
\(675\) −3.44795 + 14.1160i −0.132712 + 0.543324i
\(676\) 3.74774 20.9261i 0.144144 0.804850i
\(677\) −25.8486 6.92612i −0.993443 0.266192i −0.274747 0.961517i \(-0.588594\pi\)
−0.718696 + 0.695324i \(0.755261\pi\)
\(678\) −34.3893 + 6.27920i −1.32071 + 0.241151i
\(679\) 37.6218 + 21.7210i 1.44379 + 0.833575i
\(680\) 0.205821 51.1538i 0.00789286 1.96166i
\(681\) 0.130851 + 17.6575i 0.00501423 + 0.676636i
\(682\) 24.0167 + 8.77784i 0.919645 + 0.336121i
\(683\) −9.62993 + 9.62993i −0.368479 + 0.368479i −0.866922 0.498443i \(-0.833905\pi\)
0.498443 + 0.866922i \(0.333905\pi\)
\(684\) −6.59714 + 4.73974i −0.252248 + 0.181228i
\(685\) 21.9446 + 21.9446i 0.838460 + 0.838460i
\(686\) 12.1666 5.65352i 0.464523 0.215853i
\(687\) 18.7821 + 31.9819i 0.716583 + 1.22019i
\(688\) −2.42005 + 26.0508i −0.0922634 + 0.993179i
\(689\) −0.830078 + 1.43774i −0.0316235 + 0.0547734i
\(690\) 26.4276 12.5192i 1.00608 0.476599i
\(691\) 9.88454 36.8896i 0.376025 1.40335i −0.475815 0.879545i \(-0.657847\pi\)
0.851841 0.523801i \(-0.175486\pi\)
\(692\) 6.88325 + 9.88664i 0.261662 + 0.375834i
\(693\) −33.2742 + 34.2754i −1.26398 + 1.30201i
\(694\) 3.59388 3.00742i 0.136422 0.114160i
\(695\) 16.2810 9.39985i 0.617574 0.356557i
\(696\) 1.39838 5.29043i 0.0530054 0.200533i
\(697\) 32.6551 + 18.8534i 1.23690 + 0.714125i
\(698\) −31.7283 + 5.55070i −1.20094 + 0.210097i
\(699\) 10.7092 + 38.8144i 0.405059 + 1.46810i
\(700\) −6.34335 17.5747i −0.239756 0.664263i
\(701\) −24.7308 24.7308i −0.934070 0.934070i 0.0638873 0.997957i \(-0.479650\pi\)
−0.997957 + 0.0638873i \(0.979650\pi\)
\(702\) 11.2890 + 0.750429i 0.426077 + 0.0283231i
\(703\) −11.7683 −0.443851
\(704\) −26.7453 27.1793i −1.00800 1.02436i
\(705\) −8.67631 + 15.2883i −0.326769 + 0.575792i
\(706\) 23.0925 32.8856i 0.869099 1.23767i
\(707\) 29.4328 7.88649i 1.10693 0.296602i
\(708\) −28.6834 4.91795i −1.07799 0.184828i
\(709\) 27.1510 + 7.27509i 1.01968 + 0.273222i 0.729668 0.683802i \(-0.239675\pi\)
0.290010 + 0.957024i \(0.406341\pi\)
\(710\) −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
\(714\) 49.9157 + 17.8255i 1.86805 + 0.667102i
\(715\) 5.30345 + 19.7927i 0.198338 + 0.740207i
\(716\) 23.5172 1.99394i 0.878880 0.0745170i
\(717\) 0.191226 0.735423i 0.00714148 0.0274649i
\(718\) 9.43315 4.38336i 0.352042 0.163585i
\(719\) 12.7928 0.477091 0.238546 0.971131i \(-0.423329\pi\)
0.238546 + 0.971131i \(0.423329\pi\)
\(720\) 18.9582 27.6275i 0.706531 1.02962i
\(721\) 14.3987 0.536234
\(722\) −22.0169 + 10.2307i −0.819385 + 0.380749i
\(723\) 18.9363 + 18.6577i 0.704249 + 0.693888i
\(724\) −3.18870 37.6087i −0.118507 1.39771i
\(725\) 0.808460 + 3.01722i 0.0300255 + 0.112057i
\(726\) −5.15621 28.2390i −0.191365 1.04805i
\(727\) −3.44828 + 1.99086i −0.127890 + 0.0738371i −0.562580 0.826743i \(-0.690191\pi\)
0.434690 + 0.900580i \(0.356858\pi\)
\(728\) −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
\(731\) 40.9221 + 10.9650i 1.51356 + 0.405557i
\(732\) −18.6095 15.4658i −0.687825 0.571634i
\(733\) −36.2459 + 9.71206i −1.33877 + 0.358723i −0.855979 0.517011i \(-0.827045\pi\)
−0.482794 + 0.875734i \(0.660378\pi\)
\(734\) −27.7129 + 39.4654i −1.02290 + 1.45669i
\(735\) 20.1199 0.149099i 0.742133 0.00549959i
\(736\) −24.1080 + 1.94636i −0.888631 + 0.0717439i
\(737\) −8.97493 −0.330596
\(738\) 10.7388 + 22.2417i 0.395301 + 0.818729i
\(739\) 3.06425 + 3.06425i 0.112720 + 0.112720i 0.761217 0.648497i \(-0.224602\pi\)
−0.648497 + 0.761217i \(0.724602\pi\)
\(740\) 45.6586 16.4798i 1.67844 0.605810i
\(741\) −3.49422 0.908575i −0.128363 0.0333774i
\(742\) −5.01810 + 0.877888i −0.184220 + 0.0322283i
\(743\) 30.1059 + 17.3817i 1.10448 + 0.637671i 0.937394 0.348272i \(-0.113231\pi\)
0.167085 + 0.985943i \(0.446565\pi\)
\(744\) 9.23733 16.1254i 0.338657 0.591186i
\(745\) −26.9327 + 15.5496i −0.986738 + 0.569693i
\(746\) −26.7434 + 22.3793i −0.979145 + 0.819365i
\(747\) −8.77298 30.9018i −0.320986 1.13064i
\(748\) −50.6746 + 35.2805i −1.85285 + 1.28998i
\(749\) 0.0631998 0.235865i 0.00230927 0.00861831i
\(750\) 1.22238 15.0213i 0.0446349 0.548501i
\(751\) −7.10890 + 12.3130i −0.259407 + 0.449307i −0.966083 0.258231i \(-0.916861\pi\)
0.706676 + 0.707537i \(0.250194\pi\)
\(752\) 11.1876 9.28567i 0.407969 0.338614i
\(753\) 9.69789 17.0884i 0.353411 0.622737i
\(754\) 2.20561 1.02489i 0.0803236 0.0373245i
\(755\) 43.0991 + 43.0991i 1.56854 + 1.56854i
\(756\) 20.4653 + 28.0443i 0.744317 + 1.01996i
\(757\) 2.11199 2.11199i 0.0767615 0.0767615i −0.667684 0.744445i \(-0.732714\pi\)
0.744445 + 0.667684i \(0.232714\pi\)
\(758\) 5.01393 + 1.83254i 0.182114 + 0.0665609i
\(759\) −30.6991 17.4221i −1.11431 0.632382i
\(760\) −7.59100 + 7.53016i −0.275355 + 0.273148i
\(761\) 16.3519 + 9.44076i 0.592755 + 0.342227i 0.766186 0.642619i \(-0.222152\pi\)
−0.173431 + 0.984846i \(0.555485\pi\)
\(762\) 25.7915 + 30.3610i 0.934329 + 1.09986i
\(763\) 26.1721 + 7.01279i 0.947493 + 0.253880i
\(764\) 3.51419 + 0.629371i 0.127139 + 0.0227699i
\(765\) −38.9300 37.7928i −1.40752 1.36640i
\(766\) 8.86247 + 0.787345i 0.320214 + 0.0284479i
\(767\) −6.46724 11.2016i −0.233519 0.404466i
\(768\) −22.7536 + 15.8200i −0.821051 + 0.570854i
\(769\) 3.50579 6.07221i 0.126422 0.218970i −0.795866 0.605473i \(-0.792984\pi\)
0.922288 + 0.386503i \(0.126317\pi\)
\(770\) −36.1344 + 51.4582i −1.30219 + 1.85443i
\(771\) 4.12284 15.8557i 0.148481 0.571030i
\(772\) −11.1435 30.8740i −0.401065 1.11118i
\(773\) 8.54407 8.54407i