Properties

Label 462.2.bc.a.107.15
Level $462$
Weight $2$
Character 462.107
Analytic conductor $3.689$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.bc (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 107.15
Character \(\chi\) \(=\) 462.107
Dual form 462.2.bc.a.95.15

$q$-expansion

\(f(q)\) \(=\) \(q+(0.104528 + 0.994522i) q^{2} +(1.67644 - 0.435353i) q^{3} +(-0.978148 + 0.207912i) q^{4} +(0.789465 + 1.77317i) q^{5} +(0.608205 + 1.62175i) q^{6} +(-2.28945 - 1.32606i) q^{7} +(-0.309017 - 0.951057i) q^{8} +(2.62093 - 1.45969i) q^{9} +O(q^{10})\) \(q+(0.104528 + 0.994522i) q^{2} +(1.67644 - 0.435353i) q^{3} +(-0.978148 + 0.207912i) q^{4} +(0.789465 + 1.77317i) q^{5} +(0.608205 + 1.62175i) q^{6} +(-2.28945 - 1.32606i) q^{7} +(-0.309017 - 0.951057i) q^{8} +(2.62093 - 1.45969i) q^{9} +(-1.68093 + 0.970486i) q^{10} +(3.21976 - 0.795724i) q^{11} +(-1.54930 + 0.774392i) q^{12} +(3.98429 + 5.48391i) q^{13} +(1.07948 - 2.41552i) q^{14} +(2.09545 + 2.62892i) q^{15} +(0.913545 - 0.406737i) q^{16} +(-0.459224 + 4.36922i) q^{17} +(1.72566 + 2.45400i) q^{18} +(-0.0977002 + 0.459644i) q^{19} +(-1.14088 - 1.57028i) q^{20} +(-4.41544 - 1.22634i) q^{21} +(1.12792 + 3.11894i) q^{22} +(-0.703593 - 0.406219i) q^{23} +(-0.932096 - 1.45986i) q^{24} +(0.824787 - 0.916019i) q^{25} +(-5.03740 + 4.53569i) q^{26} +(3.75837 - 3.58813i) q^{27} +(2.51512 + 0.821074i) q^{28} +(-0.927952 + 2.85594i) q^{29} +(-2.39548 + 2.35877i) q^{30} +(-7.66426 - 3.41235i) q^{31} +(0.500000 + 0.866025i) q^{32} +(5.05132 - 2.73572i) q^{33} -4.39329 q^{34} +(0.543877 - 5.10645i) q^{35} +(-2.26017 + 1.97272i) q^{36} +(-6.60480 - 7.33538i) q^{37} +(-0.467338 - 0.0491192i) q^{38} +(9.06689 + 7.45889i) q^{39} +(1.44242 - 1.29876i) q^{40} +(1.04648 + 3.22072i) q^{41} +(0.758082 - 4.51944i) q^{42} -3.53953i q^{43} +(-2.98396 + 1.44776i) q^{44} +(4.65741 + 3.49498i) q^{45} +(0.330449 - 0.742200i) q^{46} +(1.94130 - 9.13311i) q^{47} +(1.35443 - 1.07959i) q^{48} +(3.48316 + 6.07187i) q^{49} +(0.997214 + 0.724519i) q^{50} +(1.13229 + 7.52468i) q^{51} +(-5.03740 - 4.53569i) q^{52} +(1.70355 - 3.82624i) q^{53} +(3.96133 + 3.36272i) q^{54} +(3.95283 + 5.08097i) q^{55} +(-0.553675 + 2.58717i) q^{56} +(0.0363183 + 0.813101i) q^{57} +(-2.93730 - 0.624341i) q^{58} +(-0.627177 - 2.95064i) q^{59} +(-2.59624 - 2.13580i) q^{60} +(-2.08111 - 4.67425i) q^{61} +(2.59252 - 7.97896i) q^{62} +(-7.93613 - 0.133613i) q^{63} +(-0.809017 + 0.587785i) q^{64} +(-6.57843 + 11.3942i) q^{65} +(3.24874 + 4.73769i) q^{66} +(-1.96138 - 3.39722i) q^{67} +(-0.459224 - 4.36922i) q^{68} +(-1.35638 - 0.374693i) q^{69} +(5.13533 + 0.00712871i) q^{70} +(-8.37299 + 11.5244i) q^{71} +(-2.19816 - 2.04159i) q^{72} +(-1.63635 - 7.69840i) q^{73} +(6.60480 - 7.33538i) q^{74} +(0.983918 - 1.89473i) q^{75} -0.469912i q^{76} +(-8.42664 - 2.44780i) q^{77} +(-6.47029 + 9.79688i) q^{78} +(-7.45986 + 0.784063i) q^{79} +(1.44242 + 1.29876i) q^{80} +(4.73860 - 7.65152i) q^{81} +(-3.09369 + 1.37740i) q^{82} +(4.29547 + 3.12084i) q^{83} +(4.57392 + 0.281519i) q^{84} +(-8.10990 + 2.63507i) q^{85} +(3.52014 - 0.369981i) q^{86} +(-0.312316 + 5.19182i) q^{87} +(-1.75174 - 2.81628i) q^{88} +(11.9538 + 6.90154i) q^{89} +(-2.98900 + 4.99722i) q^{90} +(-1.84987 - 17.8385i) q^{91} +(0.772675 + 0.251057i) q^{92} +(-14.3343 - 2.38395i) q^{93} +(9.28600 + 0.975997i) q^{94} +(-0.892156 + 0.189634i) q^{95} +(1.21525 + 1.23417i) q^{96} +(1.56218 - 1.13499i) q^{97} +(-5.67452 + 4.09876i) q^{98} +(7.27726 - 6.78539i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 128 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 4 q^{9} + 6 q^{11} - 12 q^{15} + 16 q^{16} + 2 q^{17} + 4 q^{18} + 2 q^{22} - 12 q^{25} - 18 q^{27} - 5 q^{28} - 38 q^{29} - 6 q^{30} - 3 q^{31} + 64 q^{32} - 4 q^{33} - 16 q^{34} + 31 q^{35} + 8 q^{36} + 2 q^{37} + 22 q^{39} + 5 q^{40} - 16 q^{41} + 17 q^{42} + q^{44} + 28 q^{45} + 38 q^{49} - 34 q^{50} + 16 q^{51} - 25 q^{53} + 6 q^{54} - 42 q^{55} + 20 q^{57} - 19 q^{58} - 40 q^{59} - 4 q^{60} + 40 q^{61} + 4 q^{62} + 6 q^{63} - 32 q^{64} - 20 q^{65} - 41 q^{66} + 16 q^{67} + 2 q^{68} - 68 q^{69} - 21 q^{70} - 80 q^{71} - 16 q^{72} + 10 q^{73} - 2 q^{74} - 14 q^{75} - q^{77} - 16 q^{78} + 5 q^{80} - 88 q^{81} - 8 q^{82} + 92 q^{83} - 48 q^{84} - 100 q^{85} + 40 q^{86} + 38 q^{87} - q^{88} - 164 q^{90} + 12 q^{91} + 20 q^{92} + 47 q^{93} + 40 q^{94} - 38 q^{95} - 16 q^{97} - 18 q^{98} - 138 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{3}{10}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.104528 + 0.994522i 0.0739128 + 0.703233i
\(3\) 1.67644 0.435353i 0.967896 0.251351i
\(4\) −0.978148 + 0.207912i −0.489074 + 0.103956i
\(5\) 0.789465 + 1.77317i 0.353059 + 0.792984i 0.999548 + 0.0300608i \(0.00957008\pi\)
−0.646489 + 0.762924i \(0.723763\pi\)
\(6\) 0.608205 + 1.62175i 0.248299 + 0.662078i
\(7\) −2.28945 1.32606i −0.865330 0.501202i
\(8\) −0.309017 0.951057i −0.109254 0.336249i
\(9\) 2.62093 1.45969i 0.873645 0.486564i
\(10\) −1.68093 + 0.970486i −0.531557 + 0.306895i
\(11\) 3.21976 0.795724i 0.970793 0.239920i
\(12\) −1.54930 + 0.774392i −0.447243 + 0.223548i
\(13\) 3.98429 + 5.48391i 1.10504 + 1.52096i 0.828523 + 0.559955i \(0.189181\pi\)
0.276521 + 0.961008i \(0.410819\pi\)
\(14\) 1.07948 2.41552i 0.288503 0.645574i
\(15\) 2.09545 + 2.62892i 0.541042 + 0.678784i
\(16\) 0.913545 0.406737i 0.228386 0.101684i
\(17\) −0.459224 + 4.36922i −0.111378 + 1.05969i 0.785939 + 0.618305i \(0.212180\pi\)
−0.897317 + 0.441387i \(0.854486\pi\)
\(18\) 1.72566 + 2.45400i 0.406742 + 0.578413i
\(19\) −0.0977002 + 0.459644i −0.0224140 + 0.105449i −0.987933 0.154885i \(-0.950499\pi\)
0.965519 + 0.260334i \(0.0838327\pi\)
\(20\) −1.14088 1.57028i −0.255107 0.351125i
\(21\) −4.41544 1.22634i −0.963528 0.267609i
\(22\) 1.12792 + 3.11894i 0.240473 + 0.664961i
\(23\) −0.703593 0.406219i −0.146709 0.0847026i 0.424849 0.905264i \(-0.360327\pi\)
−0.571558 + 0.820562i \(0.693661\pi\)
\(24\) −0.932096 1.45986i −0.190263 0.297993i
\(25\) 0.824787 0.916019i 0.164957 0.183204i
\(26\) −5.03740 + 4.53569i −0.987914 + 0.889522i
\(27\) 3.75837 3.58813i 0.723299 0.690535i
\(28\) 2.51512 + 0.821074i 0.475313 + 0.155168i
\(29\) −0.927952 + 2.85594i −0.172316 + 0.530335i −0.999501 0.0315953i \(-0.989941\pi\)
0.827184 + 0.561931i \(0.189941\pi\)
\(30\) −2.39548 + 2.35877i −0.437354 + 0.430650i
\(31\) −7.66426 3.41235i −1.37654 0.612876i −0.420819 0.907145i \(-0.638257\pi\)
−0.955723 + 0.294269i \(0.904924\pi\)
\(32\) 0.500000 + 0.866025i 0.0883883 + 0.153093i
\(33\) 5.05132 2.73572i 0.879322 0.476227i
\(34\) −4.39329 −0.753443
\(35\) 0.543877 5.10645i 0.0919321 0.863147i
\(36\) −2.26017 + 1.97272i −0.376696 + 0.328786i
\(37\) −6.60480 7.33538i −1.08582 1.20593i −0.977306 0.211834i \(-0.932056\pi\)
−0.108517 0.994095i \(-0.534610\pi\)
\(38\) −0.467338 0.0491192i −0.0758122 0.00796819i
\(39\) 9.06689 + 7.45889i 1.45186 + 1.19438i
\(40\) 1.44242 1.29876i 0.228067 0.205353i
\(41\) 1.04648 + 3.22072i 0.163432 + 0.502993i 0.998917 0.0465204i \(-0.0148132\pi\)
−0.835485 + 0.549513i \(0.814813\pi\)
\(42\) 0.758082 4.51944i 0.116975 0.697364i
\(43\) 3.53953i 0.539773i −0.962892 0.269886i \(-0.913014\pi\)
0.962892 0.269886i \(-0.0869862\pi\)
\(44\) −2.98396 + 1.44776i −0.449848 + 0.218258i
\(45\) 4.65741 + 3.49498i 0.694286 + 0.521001i
\(46\) 0.330449 0.742200i 0.0487220 0.109431i
\(47\) 1.94130 9.13311i 0.283168 1.33220i −0.574714 0.818354i \(-0.694887\pi\)
0.857882 0.513846i \(-0.171780\pi\)
\(48\) 1.35443 1.07959i 0.195496 0.155825i
\(49\) 3.48316 + 6.07187i 0.497594 + 0.867410i
\(50\) 0.997214 + 0.724519i 0.141027 + 0.102462i
\(51\) 1.13229 + 7.52468i 0.158553 + 1.05367i
\(52\) −5.03740 4.53569i −0.698561 0.628987i
\(53\) 1.70355 3.82624i 0.234001 0.525575i −0.757933 0.652333i \(-0.773790\pi\)
0.991934 + 0.126758i \(0.0404571\pi\)
\(54\) 3.96133 + 3.36272i 0.539068 + 0.457608i
\(55\) 3.95283 + 5.08097i 0.533000 + 0.685118i
\(56\) −0.553675 + 2.58717i −0.0739879 + 0.345725i
\(57\) 0.0363183 + 0.813101i 0.00481048 + 0.107698i
\(58\) −2.93730 0.624341i −0.385686 0.0819800i
\(59\) −0.627177 2.95064i −0.0816515 0.384140i 0.918279 0.395934i \(-0.129579\pi\)
−0.999930 + 0.0117940i \(0.996246\pi\)
\(60\) −2.59624 2.13580i −0.335173 0.275731i
\(61\) −2.08111 4.67425i −0.266459 0.598476i 0.729917 0.683536i \(-0.239559\pi\)
−0.996376 + 0.0850593i \(0.972892\pi\)
\(62\) 2.59252 7.97896i 0.329251 1.01333i
\(63\) −7.93613 0.133613i −0.999858 0.0168336i
\(64\) −0.809017 + 0.587785i −0.101127 + 0.0734732i
\(65\) −6.57843 + 11.3942i −0.815953 + 1.41327i
\(66\) 3.24874 + 4.73769i 0.399892 + 0.583169i
\(67\) −1.96138 3.39722i −0.239621 0.415036i 0.720984 0.692951i \(-0.243690\pi\)
−0.960606 + 0.277915i \(0.910357\pi\)
\(68\) −0.459224 4.36922i −0.0556891 0.529846i
\(69\) −1.35638 0.374693i −0.163289 0.0451077i
\(70\) 5.13533 + 0.00712871i 0.613789 + 0.000852044i
\(71\) −8.37299 + 11.5244i −0.993691 + 1.36770i −0.0645741 + 0.997913i \(0.520569\pi\)
−0.929117 + 0.369786i \(0.879431\pi\)
\(72\) −2.19816 2.04159i −0.259056 0.240603i
\(73\) −1.63635 7.69840i −0.191520 0.901030i −0.963982 0.265969i \(-0.914308\pi\)
0.772462 0.635061i \(-0.219025\pi\)
\(74\) 6.60480 7.33538i 0.767793 0.852720i
\(75\) 0.983918 1.89473i 0.113613 0.218784i
\(76\) 0.469912i 0.0539026i
\(77\) −8.42664 2.44780i −0.960305 0.278953i
\(78\) −6.47029 + 9.79688i −0.732616 + 1.10928i
\(79\) −7.45986 + 0.784063i −0.839300 + 0.0882140i −0.514417 0.857540i \(-0.671992\pi\)
−0.324883 + 0.945754i \(0.605325\pi\)
\(80\) 1.44242 + 1.29876i 0.161268 + 0.145206i
\(81\) 4.73860 7.65152i 0.526511 0.850168i
\(82\) −3.09369 + 1.37740i −0.341641 + 0.152109i
\(83\) 4.29547 + 3.12084i 0.471489 + 0.342557i 0.798021 0.602629i \(-0.205880\pi\)
−0.326532 + 0.945186i \(0.605880\pi\)
\(84\) 4.57392 + 0.281519i 0.499056 + 0.0307162i
\(85\) −8.10990 + 2.63507i −0.879642 + 0.285813i
\(86\) 3.52014 0.369981i 0.379586 0.0398961i
\(87\) −0.312316 + 5.19182i −0.0334838 + 0.556621i
\(88\) −1.75174 2.81628i −0.186736 0.300216i
\(89\) 11.9538 + 6.90154i 1.26710 + 0.731561i 0.974439 0.224654i \(-0.0721253\pi\)
0.292663 + 0.956216i \(0.405459\pi\)
\(90\) −2.98900 + 4.99722i −0.315068 + 0.526754i
\(91\) −1.84987 17.8385i −0.193919 1.86999i
\(92\) 0.772675 + 0.251057i 0.0805570 + 0.0261745i
\(93\) −14.3343 2.38395i −1.48640 0.247204i
\(94\) 9.28600 + 0.975997i 0.957777 + 0.100666i
\(95\) −0.892156 + 0.189634i −0.0915332 + 0.0194560i
\(96\) 1.21525 + 1.23417i 0.124031 + 0.125962i
\(97\) 1.56218 1.13499i 0.158616 0.115241i −0.505646 0.862741i \(-0.668746\pi\)
0.664262 + 0.747500i \(0.268746\pi\)
\(98\) −5.67452 + 4.09876i −0.573213 + 0.414037i
\(99\) 7.27726 6.78539i 0.731392 0.681957i
\(100\) −0.616312 + 1.06748i −0.0616312 + 0.106748i
\(101\) −12.5476 5.58653i −1.24853 0.555881i −0.327307 0.944918i \(-0.606141\pi\)
−0.921222 + 0.389037i \(0.872808\pi\)
\(102\) −7.36511 + 1.91263i −0.729254 + 0.189379i
\(103\) 1.37384 + 1.52581i 0.135369 + 0.150342i 0.807018 0.590527i \(-0.201080\pi\)
−0.671649 + 0.740870i \(0.734414\pi\)
\(104\) 3.98429 5.48391i 0.390692 0.537741i
\(105\) −1.31133 8.79746i −0.127973 0.858544i
\(106\) 3.98335 + 1.29427i 0.386897 + 0.125711i
\(107\) 1.30137 + 0.276615i 0.125808 + 0.0267414i 0.270386 0.962752i \(-0.412849\pi\)
−0.144577 + 0.989494i \(0.546182\pi\)
\(108\) −2.93023 + 4.29113i −0.281961 + 0.412914i
\(109\) 15.4198 8.90263i 1.47695 0.852717i 0.477288 0.878747i \(-0.341620\pi\)
0.999661 + 0.0260299i \(0.00828652\pi\)
\(110\) −4.63995 + 4.46229i −0.442402 + 0.425462i
\(111\) −14.2661 9.42193i −1.35408 0.894290i
\(112\) −2.63087 0.280209i −0.248594 0.0264772i
\(113\) 0.887889 0.288493i 0.0835256 0.0271391i −0.266956 0.963709i \(-0.586018\pi\)
0.350482 + 0.936570i \(0.386018\pi\)
\(114\) −0.804851 + 0.121112i −0.0753812 + 0.0113431i
\(115\) 0.164833 1.56828i 0.0153708 0.146243i
\(116\) 0.313890 2.98647i 0.0291440 0.277286i
\(117\) 18.4474 + 8.55713i 1.70546 + 0.791107i
\(118\) 2.86891 0.932167i 0.264105 0.0858129i
\(119\) 6.84520 9.39416i 0.627498 0.861161i
\(120\) 1.85272 2.80527i 0.169130 0.256085i
\(121\) 9.73365 5.12407i 0.884877 0.465825i
\(122\) 4.43111 2.55830i 0.401174 0.231618i
\(123\) 3.15651 + 4.94378i 0.284613 + 0.445766i
\(124\) 8.20625 + 1.74429i 0.736943 + 0.156642i
\(125\) 11.5053 + 3.73829i 1.02906 + 0.334363i
\(126\) −0.696671 7.90662i −0.0620644 0.704378i
\(127\) 1.20848 1.66333i 0.107235 0.147596i −0.752027 0.659133i \(-0.770923\pi\)
0.859262 + 0.511536i \(0.170923\pi\)
\(128\) −0.669131 0.743145i −0.0591433 0.0656853i
\(129\) −1.54095 5.93382i −0.135673 0.522444i
\(130\) −12.0194 5.35137i −1.05417 0.469347i
\(131\) −3.07483 + 5.32575i −0.268649 + 0.465313i −0.968513 0.248962i \(-0.919910\pi\)
0.699864 + 0.714276i \(0.253244\pi\)
\(132\) −4.37215 + 3.72617i −0.380547 + 0.324321i
\(133\) 0.833192 0.922775i 0.0722469 0.0800147i
\(134\) 3.17359 2.30575i 0.274156 0.199186i
\(135\) 9.32945 + 3.83152i 0.802951 + 0.329765i
\(136\) 4.29729 0.913416i 0.368489 0.0783248i
\(137\) −20.5401 2.15886i −1.75486 0.184443i −0.828224 0.560397i \(-0.810648\pi\)
−0.926638 + 0.375954i \(0.877315\pi\)
\(138\) 0.230860 1.38812i 0.0196521 0.118165i
\(139\) −3.63691 1.18170i −0.308479 0.100231i 0.150687 0.988582i \(-0.451852\pi\)
−0.459166 + 0.888351i \(0.651852\pi\)
\(140\) 0.529698 + 5.10794i 0.0447677 + 0.431700i
\(141\) −0.721644 16.1563i −0.0607734 1.36061i
\(142\) −12.3365 7.12249i −1.03526 0.597706i
\(143\) 17.1921 + 14.4864i 1.43768 + 1.21142i
\(144\) 1.80063 2.39953i 0.150053 0.199960i
\(145\) −5.79665 + 0.609252i −0.481385 + 0.0505957i
\(146\) 7.48518 2.43208i 0.619478 0.201281i
\(147\) 8.48273 + 8.66275i 0.699644 + 0.714492i
\(148\) 7.98558 + 5.80186i 0.656411 + 0.476910i
\(149\) −17.7605 + 7.90749i −1.45500 + 0.647807i −0.973510 0.228645i \(-0.926570\pi\)
−0.481489 + 0.876452i \(0.659904\pi\)
\(150\) 1.98720 + 0.780475i 0.162254 + 0.0637255i
\(151\) 1.55025 + 1.39585i 0.126157 + 0.113593i 0.729795 0.683667i \(-0.239616\pi\)
−0.603637 + 0.797259i \(0.706282\pi\)
\(152\) 0.467338 0.0491192i 0.0379061 0.00398409i
\(153\) 5.17412 + 12.1218i 0.418303 + 0.979987i
\(154\) 1.55357 8.63634i 0.125190 0.695936i
\(155\) 16.2839i 1.30796i
\(156\) −10.4195 5.41079i −0.834231 0.433210i
\(157\) −0.121883 + 0.135364i −0.00972730 + 0.0108033i −0.747989 0.663711i \(-0.768980\pi\)
0.738262 + 0.674515i \(0.235647\pi\)
\(158\) −1.55954 7.33704i −0.124070 0.583703i
\(159\) 1.19014 7.15613i 0.0943846 0.567518i
\(160\) −1.14088 + 1.57028i −0.0901941 + 0.124142i
\(161\) 1.07217 + 1.86302i 0.0844989 + 0.146827i
\(162\) 8.10492 + 3.91284i 0.636783 + 0.307422i
\(163\) −2.21545 21.0786i −0.173527 1.65100i −0.641401 0.767206i \(-0.721646\pi\)
0.467874 0.883795i \(-0.345020\pi\)
\(164\) −1.69324 2.93277i −0.132219 0.229011i
\(165\) 8.83872 + 6.79708i 0.688094 + 0.529152i
\(166\) −2.65475 + 4.59816i −0.206048 + 0.356886i
\(167\) −3.26292 + 2.37065i −0.252492 + 0.183446i −0.706831 0.707383i \(-0.749876\pi\)
0.454338 + 0.890829i \(0.349876\pi\)
\(168\) 0.198128 + 4.57829i 0.0152859 + 0.353223i
\(169\) −10.1814 + 31.3353i −0.783188 + 2.41040i
\(170\) −3.46835 7.79003i −0.266010 0.597468i
\(171\) 0.414872 + 1.34731i 0.0317261 + 0.103031i
\(172\) 0.735909 + 3.46218i 0.0561126 + 0.263989i
\(173\) −21.3520 4.53851i −1.62336 0.345056i −0.695658 0.718373i \(-0.744887\pi\)
−0.927704 + 0.373316i \(0.878221\pi\)
\(174\) −5.19602 + 0.232088i −0.393909 + 0.0175945i
\(175\) −3.10300 + 1.00347i −0.234565 + 0.0758549i
\(176\) 2.61774 2.03652i 0.197320 0.153509i
\(177\) −2.33600 4.67353i −0.175584 0.351284i
\(178\) −5.61422 + 12.6097i −0.420803 + 0.945140i
\(179\) −2.15491 1.94029i −0.161066 0.145024i 0.584657 0.811280i \(-0.301229\pi\)
−0.745723 + 0.666256i \(0.767896\pi\)
\(180\) −5.28228 2.45027i −0.393718 0.182633i
\(181\) 10.1349 + 7.36341i 0.753319 + 0.547318i 0.896854 0.442327i \(-0.145847\pi\)
−0.143535 + 0.989645i \(0.545847\pi\)
\(182\) 17.5474 3.70437i 1.30070 0.274586i
\(183\) −5.52382 6.93010i −0.408332 0.512288i
\(184\) −0.168916 + 0.794685i −0.0124526 + 0.0585850i
\(185\) 7.79259 17.5024i 0.572922 1.28680i
\(186\) 0.872551 14.5050i 0.0639786 1.06355i
\(187\) 1.99810 + 14.4332i 0.146116 + 1.05546i
\(188\) 9.33715i 0.680981i
\(189\) −13.3627 + 3.23103i −0.971990 + 0.235023i
\(190\) −0.281850 0.867446i −0.0204476 0.0629312i
\(191\) 5.66614 5.10182i 0.409988 0.369154i −0.438176 0.898889i \(-0.644375\pi\)
0.848163 + 0.529735i \(0.177709\pi\)
\(192\) −1.10038 + 1.33760i −0.0794129 + 0.0965328i
\(193\) −15.2899 1.60703i −1.10059 0.115677i −0.463227 0.886240i \(-0.653308\pi\)
−0.637364 + 0.770563i \(0.719975\pi\)
\(194\) 1.29207 + 1.43499i 0.0927650 + 0.103026i
\(195\) −6.06788 + 21.9656i −0.434530 + 1.57299i
\(196\) −4.66945 5.21500i −0.333532 0.372500i
\(197\) −3.24755 −0.231378 −0.115689 0.993285i \(-0.536908\pi\)
−0.115689 + 0.993285i \(0.536908\pi\)
\(198\) 7.50890 + 6.52812i 0.533634 + 0.463934i
\(199\) 8.48092 + 14.6894i 0.601197 + 1.04130i 0.992640 + 0.121101i \(0.0386425\pi\)
−0.391443 + 0.920202i \(0.628024\pi\)
\(200\) −1.12606 0.501354i −0.0796244 0.0354511i
\(201\) −4.76714 4.84135i −0.336248 0.341483i
\(202\) 4.24435 13.0628i 0.298632 0.919093i
\(203\) 5.91164 5.30802i 0.414916 0.372550i
\(204\) −2.67202 7.12484i −0.187079 0.498838i
\(205\) −4.88473 + 4.39823i −0.341164 + 0.307185i
\(206\) −1.37384 + 1.52581i −0.0957202 + 0.106308i
\(207\) −2.43703 0.0376459i −0.169385 0.00261657i
\(208\) 5.87034 + 3.38924i 0.407035 + 0.235002i
\(209\) 0.0511783 + 1.55768i 0.00354008 + 0.107747i
\(210\) 8.61219 2.22373i 0.594298 0.153452i
\(211\) −3.75889 5.17366i −0.258772 0.356170i 0.659787 0.751453i \(-0.270647\pi\)
−0.918559 + 0.395283i \(0.870647\pi\)
\(212\) −0.870806 + 4.09682i −0.0598072 + 0.281371i
\(213\) −9.01966 + 22.9653i −0.618017 + 1.57356i
\(214\) −0.139070 + 1.32316i −0.00950660 + 0.0904492i
\(215\) 6.27617 2.79433i 0.428032 0.190572i
\(216\) −4.57391 2.46563i −0.311215 0.167765i
\(217\) 13.0220 + 17.9756i 0.883989 + 1.22027i
\(218\) 10.4657 + 14.4048i 0.708824 + 0.975613i
\(219\) −6.09477 12.1936i −0.411846 0.823964i
\(220\) −4.92285 4.14810i −0.331898 0.279665i
\(221\) −25.7901 + 14.8899i −1.73483 + 1.00160i
\(222\) 7.87911 15.1728i 0.528811 1.01833i
\(223\) 4.31263 + 13.2729i 0.288795 + 0.888819i 0.985235 + 0.171205i \(0.0547659\pi\)
−0.696441 + 0.717614i \(0.745234\pi\)
\(224\) 0.00367275 2.64575i 0.000245396 0.176777i
\(225\) 0.824607 3.60476i 0.0549738 0.240317i
\(226\) 0.379722 + 0.852870i 0.0252587 + 0.0567321i
\(227\) 9.83488 2.09047i 0.652764 0.138749i 0.130386 0.991463i \(-0.458378\pi\)
0.522378 + 0.852714i \(0.325045\pi\)
\(228\) −0.204578 0.787782i −0.0135485 0.0521721i
\(229\) 1.89492 + 18.0289i 0.125220 + 1.19139i 0.858992 + 0.511990i \(0.171091\pi\)
−0.733772 + 0.679396i \(0.762242\pi\)
\(230\) 1.57692 0.103979
\(231\) −15.1925 0.435042i −0.999590 0.0286236i
\(232\) 3.00292 0.197151
\(233\) 0.194435 + 1.84993i 0.0127379 + 0.121193i 0.999043 0.0437378i \(-0.0139266\pi\)
−0.986305 + 0.164931i \(0.947260\pi\)
\(234\) −6.58197 + 19.2408i −0.430277 + 1.25781i
\(235\) 17.7271 3.76801i 1.15639 0.245798i
\(236\) 1.22694 + 2.75576i 0.0798672 + 0.179385i
\(237\) −12.1647 + 4.56211i −0.790182 + 0.296341i
\(238\) 10.0582 + 5.82574i 0.651977 + 0.377627i
\(239\) 0.620309 + 1.90911i 0.0401245 + 0.123490i 0.969112 0.246620i \(-0.0793199\pi\)
−0.928988 + 0.370110i \(0.879320\pi\)
\(240\) 2.98357 + 1.54934i 0.192588 + 0.100010i
\(241\) −10.2866 + 5.93894i −0.662615 + 0.382561i −0.793273 0.608867i \(-0.791625\pi\)
0.130658 + 0.991428i \(0.458291\pi\)
\(242\) 6.11344 + 9.14471i 0.392987 + 0.587845i
\(243\) 4.61288 14.8903i 0.295917 0.955214i
\(244\) 3.00746 + 4.13942i 0.192533 + 0.264999i
\(245\) −8.01661 + 10.9697i −0.512163 + 0.700831i
\(246\) −4.58675 + 3.65599i −0.292441 + 0.233097i
\(247\) −2.90991 + 1.29558i −0.185153 + 0.0824355i
\(248\) −0.876950 + 8.34362i −0.0556864 + 0.529820i
\(249\) 8.55979 + 3.36187i 0.542455 + 0.213050i
\(250\) −2.51518 + 11.8330i −0.159074 + 0.748385i
\(251\) 6.84548 + 9.42200i 0.432083 + 0.594711i 0.968430 0.249286i \(-0.0801961\pi\)
−0.536347 + 0.843998i \(0.680196\pi\)
\(252\) 7.79049 1.51932i 0.490754 0.0957082i
\(253\) −2.58863 0.748062i −0.162746 0.0470302i
\(254\) 1.78053 + 1.02799i 0.111721 + 0.0645020i
\(255\) −12.4486 + 7.94822i −0.779563 + 0.497737i
\(256\) 0.669131 0.743145i 0.0418207 0.0464466i
\(257\) 18.0708 16.2710i 1.12722 1.01496i 0.127490 0.991840i \(-0.459308\pi\)
0.999733 0.0231165i \(-0.00735888\pi\)
\(258\) 5.74024 2.15276i 0.357372 0.134025i
\(259\) 5.39425 + 25.5523i 0.335182 + 1.58774i
\(260\) 4.06569 12.5129i 0.252143 0.776018i
\(261\) 1.73670 + 8.83976i 0.107499 + 0.547168i
\(262\) −5.61799 2.50129i −0.347080 0.154530i
\(263\) 15.2281 + 26.3759i 0.939005 + 1.62640i 0.767331 + 0.641251i \(0.221584\pi\)
0.171674 + 0.985154i \(0.445082\pi\)
\(264\) −4.16277 3.95871i −0.256201 0.243642i
\(265\) 8.12946 0.499389
\(266\) 1.00481 + 0.732172i 0.0616090 + 0.0448923i
\(267\) 23.0445 + 6.36591i 1.41030 + 0.389587i
\(268\) 2.62484 + 2.91519i 0.160338 + 0.178073i
\(269\) 8.66585 + 0.910817i 0.528366 + 0.0555335i 0.364956 0.931025i \(-0.381084\pi\)
0.163410 + 0.986558i \(0.447751\pi\)
\(270\) −2.83534 + 9.67884i −0.172553 + 0.589036i
\(271\) 14.6677 13.2068i 0.890998 0.802259i −0.0900669 0.995936i \(-0.528708\pi\)
0.981065 + 0.193677i \(0.0620414\pi\)
\(272\) 1.35760 + 4.17827i 0.0823166 + 0.253345i
\(273\) −10.8673 29.1000i −0.657717 1.76121i
\(274\) 20.6533i 1.24771i
\(275\) 1.92671 3.60566i 0.116185 0.217429i
\(276\) 1.40465 + 0.0844970i 0.0845498 + 0.00508612i
\(277\) −3.65486 + 8.20895i −0.219599 + 0.493228i −0.989428 0.145022i \(-0.953675\pi\)
0.769829 + 0.638250i \(0.220341\pi\)
\(278\) 0.795070 3.74051i 0.0476851 0.224341i
\(279\) −25.0685 + 2.24392i −1.50081 + 0.134340i
\(280\) −5.02459 + 1.06072i −0.300277 + 0.0633902i
\(281\) 0.288036 + 0.209270i 0.0171828 + 0.0124840i 0.596343 0.802729i \(-0.296620\pi\)
−0.579161 + 0.815213i \(0.696620\pi\)
\(282\) 15.9924 2.40648i 0.952331 0.143304i
\(283\) 10.4870 + 9.44252i 0.623386 + 0.561299i 0.919123 0.393970i \(-0.128899\pi\)
−0.295737 + 0.955269i \(0.595565\pi\)
\(284\) 5.79396 13.0134i 0.343808 0.772206i
\(285\) −1.41309 + 0.706313i −0.0837043 + 0.0418384i
\(286\) −12.6100 + 18.6122i −0.745646 + 1.10056i
\(287\) 1.87500 8.76137i 0.110678 0.517167i
\(288\) 2.57460 + 1.53995i 0.151710 + 0.0907424i
\(289\) −2.25071 0.478402i −0.132394 0.0281413i
\(290\) −1.21183 5.70121i −0.0711611 0.334787i
\(291\) 2.12479 2.58285i 0.124557 0.151409i
\(292\) 3.20117 + 7.18996i 0.187335 + 0.420760i
\(293\) −1.18310 + 3.64120i −0.0691173 + 0.212721i −0.979649 0.200718i \(-0.935673\pi\)
0.910532 + 0.413439i \(0.135673\pi\)
\(294\) −7.72861 + 9.34176i −0.450742 + 0.544823i
\(295\) 4.73684 3.44151i 0.275789 0.200373i
\(296\) −4.93536 + 8.54830i −0.286862 + 0.496860i
\(297\) 9.24588 14.5435i 0.536500 0.843900i
\(298\) −9.72065 16.8367i −0.563102 0.975322i
\(299\) −0.575649 5.47693i −0.0332906 0.316739i
\(300\) −0.568481 + 2.05789i −0.0328212 + 0.118812i
\(301\) −4.69361 + 8.10357i −0.270535 + 0.467082i
\(302\) −1.22616 + 1.68766i −0.0705575 + 0.0971141i
\(303\) −23.4674 3.90289i −1.34817 0.224215i
\(304\) 0.0977002 + 0.459644i 0.00560349 + 0.0263624i
\(305\) 6.64526 7.38031i 0.380507 0.422595i
\(306\) −11.5145 + 6.41285i −0.658241 + 0.366598i
\(307\) 17.3563i 0.990578i −0.868728 0.495289i \(-0.835062\pi\)
0.868728 0.495289i \(-0.164938\pi\)
\(308\) 8.75142 + 0.642317i 0.498659 + 0.0365994i
\(309\) 2.96744 + 1.95982i 0.168812 + 0.111490i
\(310\) 16.1947 1.70214i 0.919799 0.0966748i
\(311\) −18.5201 16.6756i −1.05018 0.945587i −0.0515901 0.998668i \(-0.516429\pi\)
−0.998590 + 0.0530818i \(0.983096\pi\)
\(312\) 4.29201 10.9280i 0.242987 0.618679i
\(313\) −24.8209 + 11.0510i −1.40296 + 0.624639i −0.962041 0.272907i \(-0.912015\pi\)
−0.440922 + 0.897546i \(0.645348\pi\)
\(314\) −0.147363 0.107066i −0.00831618 0.00604206i
\(315\) −6.02838 14.1776i −0.339661 0.798815i
\(316\) 7.13383 2.31792i 0.401309 0.130393i
\(317\) 0.275689 0.0289761i 0.0154842 0.00162746i −0.0967832 0.995305i \(-0.530855\pi\)
0.112267 + 0.993678i \(0.464189\pi\)
\(318\) 7.24133 + 0.435605i 0.406074 + 0.0244275i
\(319\) −0.715238 + 9.93383i −0.0400456 + 0.556188i
\(320\) −1.68093 0.970486i −0.0939669 0.0542518i
\(321\) 2.30211 0.102827i 0.128491 0.00573923i
\(322\) −1.74074 + 1.26104i −0.0970078 + 0.0702748i
\(323\) −1.96342 0.637953i −0.109248 0.0354967i
\(324\) −3.04421 + 8.46952i −0.169123 + 0.470529i
\(325\) 8.30956 + 0.873369i 0.460931 + 0.0484458i
\(326\) 20.7315 4.40662i 1.14821 0.244060i
\(327\) 21.9747 21.6378i 1.21520 1.19657i
\(328\) 2.73971 1.99052i 0.151275 0.109908i
\(329\) −16.5555 + 18.3355i −0.912735 + 1.01087i
\(330\) −5.83595 + 9.50079i −0.321258 + 0.523001i
\(331\) 8.15966 14.1329i 0.448495 0.776817i −0.549793 0.835301i \(-0.685293\pi\)
0.998288 + 0.0584841i \(0.0186267\pi\)
\(332\) −4.85047 2.15957i −0.266204 0.118522i
\(333\) −28.0181 9.58456i −1.53538 0.525231i
\(334\) −2.69873 2.99724i −0.147668 0.164002i
\(335\) 4.47539 6.15985i 0.244517 0.336548i
\(336\) −4.53250 + 0.675604i −0.247268 + 0.0368572i
\(337\) −22.8595 7.42750i −1.24524 0.404602i −0.389025 0.921227i \(-0.627188\pi\)
−0.856211 + 0.516626i \(0.827188\pi\)
\(338\) −32.2279 6.85024i −1.75296 0.372604i
\(339\) 1.36290 0.870188i 0.0740226 0.0472621i
\(340\) 7.38482 4.26363i 0.400498 0.231228i
\(341\) −27.3923 4.88830i −1.48338 0.264716i
\(342\) −1.29656 + 0.553431i −0.0701100 + 0.0299261i
\(343\) 0.0771276 18.5201i 0.00416450 0.999991i
\(344\) −3.36629 + 1.09377i −0.181498 + 0.0589724i
\(345\) −0.406424 2.70090i −0.0218811 0.145412i
\(346\) 2.28175 21.7094i 0.122668 1.16711i
\(347\) −0.799262 + 7.60447i −0.0429066 + 0.408229i 0.951897 + 0.306418i \(0.0991305\pi\)
−0.994804 + 0.101811i \(0.967536\pi\)
\(348\) −0.773949 5.14330i −0.0414880 0.275710i
\(349\) 28.8452 9.37239i 1.54405 0.501692i 0.591560 0.806261i \(-0.298512\pi\)
0.952490 + 0.304569i \(0.0985123\pi\)
\(350\) −1.32232 2.98111i −0.0706810 0.159347i
\(351\) 34.6514 + 6.31441i 1.84956 + 0.337038i
\(352\) 2.29899 + 2.39053i 0.122537 + 0.127416i
\(353\) 7.54247 4.35465i 0.401445 0.231774i −0.285662 0.958330i \(-0.592214\pi\)
0.687107 + 0.726556i \(0.258880\pi\)
\(354\) 4.40375 2.81172i 0.234057 0.149441i
\(355\) −27.0449 5.74858i −1.43540 0.305103i
\(356\) −13.1275 4.26538i −0.695756 0.226065i
\(357\) 7.38582 18.7289i 0.390899 0.991237i
\(358\) 1.70441 2.34592i 0.0900809 0.123986i
\(359\) 2.85484 + 3.17062i 0.150673 + 0.167339i 0.813756 0.581207i \(-0.197419\pi\)
−0.663083 + 0.748546i \(0.730753\pi\)
\(360\) 1.88470 5.50947i 0.0993326 0.290375i
\(361\) 17.1556 + 7.63818i 0.902928 + 0.402010i
\(362\) −6.26369 + 10.8490i −0.329212 + 0.570213i
\(363\) 14.0871 12.8278i 0.739383 0.673285i
\(364\) 5.51828 + 17.0641i 0.289237 + 0.894402i
\(365\) 12.3587 8.97913i 0.646884 0.469989i
\(366\) 6.31474 6.21795i 0.330077 0.325018i
\(367\) −23.0390 + 4.89710i −1.20263 + 0.255626i −0.765299 0.643675i \(-0.777409\pi\)
−0.437329 + 0.899302i \(0.644075\pi\)
\(368\) −0.807988 0.0849230i −0.0421193 0.00442692i
\(369\) 7.44401 + 6.91378i 0.387520 + 0.359917i
\(370\) 18.2211 + 5.92040i 0.947270 + 0.307787i
\(371\) −8.97401 + 6.50098i −0.465907 + 0.337514i
\(372\) 14.5167 0.648409i 0.752656 0.0336185i
\(373\) 32.4706 + 18.7469i 1.68127 + 0.970679i 0.960822 + 0.277165i \(0.0893949\pi\)
0.720443 + 0.693514i \(0.243938\pi\)
\(374\) −14.1453 + 3.49584i −0.731437 + 0.180766i
\(375\) 20.9154 + 1.25818i 1.08007 + 0.0649719i
\(376\) −9.28600 + 0.975997i −0.478889 + 0.0503332i
\(377\) −19.3590 + 6.29011i −0.997037 + 0.323957i
\(378\) −4.61010 12.9517i −0.237118 0.666164i
\(379\) 11.0824 + 8.05180i 0.569262 + 0.413593i 0.834837 0.550497i \(-0.185562\pi\)
−0.265575 + 0.964090i \(0.585562\pi\)
\(380\) 0.833233 0.370979i 0.0427439 0.0190308i
\(381\) 1.30181 3.31459i 0.0666938 0.169812i
\(382\) 5.66614 + 5.10182i 0.289905 + 0.261032i
\(383\) 24.3664 2.56101i 1.24507 0.130862i 0.541016 0.841012i \(-0.318040\pi\)
0.704050 + 0.710151i \(0.251373\pi\)
\(384\) −1.44529 0.954533i −0.0737547 0.0487108i
\(385\) −2.31217 16.8743i −0.117839 0.859994i
\(386\) 15.3741i 0.782521i
\(387\) −5.16662 9.27687i −0.262634 0.471570i
\(388\) −1.29207 + 1.43499i −0.0655947 + 0.0728503i
\(389\) 3.93745 + 18.5242i 0.199636 + 0.939215i 0.957863 + 0.287225i \(0.0927326\pi\)
−0.758227 + 0.651991i \(0.773934\pi\)
\(390\) −22.4796 3.73860i −1.13830 0.189312i
\(391\) 2.09797 2.88761i 0.106099 0.146033i
\(392\) 4.69834 5.18899i 0.237302 0.262084i
\(393\) −2.83619 + 10.2670i −0.143067 + 0.517900i
\(394\) −0.339461 3.22976i −0.0171018 0.162713i
\(395\) −7.27957 12.6086i −0.366275 0.634407i
\(396\) −5.70747 + 8.15014i −0.286811 + 0.409560i
\(397\) −4.75617 + 8.23792i −0.238705 + 0.413449i −0.960343 0.278821i \(-0.910056\pi\)
0.721638 + 0.692271i \(0.243390\pi\)
\(398\) −13.7224 + 9.96992i −0.687843 + 0.499747i
\(399\) 0.995068 1.90971i 0.0498157 0.0956053i
\(400\) 0.380902 1.17230i 0.0190451 0.0586148i
\(401\) 12.1145 + 27.2097i 0.604972 + 1.35879i 0.913214 + 0.407481i \(0.133593\pi\)
−0.308242 + 0.951308i \(0.599741\pi\)
\(402\) 4.31653 5.24709i 0.215289 0.261701i
\(403\) −11.8237 55.6259i −0.588978 2.77092i
\(404\) 13.4349 + 2.85567i 0.668410 + 0.142075i
\(405\) 17.3084 + 2.36172i 0.860060 + 0.117355i
\(406\) 5.89688 + 5.32441i 0.292657 + 0.264246i
\(407\) −27.1028 18.3625i −1.34343 0.910196i
\(408\) 6.80650 3.40213i 0.336972 0.168431i
\(409\) 4.81122 10.8062i 0.237899 0.534331i −0.754657 0.656120i \(-0.772196\pi\)
0.992556 + 0.121789i \(0.0388632\pi\)
\(410\) −4.88473 4.39823i −0.241239 0.217213i
\(411\) −35.3743 + 5.32302i −1.74488 + 0.262565i
\(412\) −1.66105 1.20683i −0.0818343 0.0594561i
\(413\) −2.47682 + 7.58700i −0.121876 + 0.373332i
\(414\) −0.217299 2.42761i −0.0106797 0.119311i
\(415\) −2.14265 + 10.0804i −0.105179 + 0.494827i
\(416\) −2.75706 + 6.19245i −0.135176 + 0.303610i
\(417\) −6.61154 0.397720i −0.323769 0.0194764i
\(418\) −1.54380 + 0.213720i −0.0755097 + 0.0104534i
\(419\) 13.8394i 0.676097i 0.941129 + 0.338049i \(0.109767\pi\)
−0.941129 + 0.338049i \(0.890233\pi\)
\(420\) 3.11177 + 8.33257i 0.151839 + 0.406588i
\(421\) −5.19198 15.9793i −0.253042 0.778783i −0.994209 0.107462i \(-0.965727\pi\)
0.741167 0.671320i \(-0.234273\pi\)
\(422\) 4.75241 4.27909i 0.231344 0.208303i
\(423\) −8.24350 26.7710i −0.400813 1.30165i
\(424\) −4.16540 0.437801i −0.202290 0.0212615i
\(425\) 3.62353 + 4.02433i 0.175767 + 0.195209i
\(426\) −23.7823 6.56972i −1.15226 0.318304i
\(427\) −1.43372 + 13.4611i −0.0693824 + 0.651430i
\(428\) −1.33045 −0.0643096
\(429\) 35.1284 + 16.8011i 1.69601 + 0.811164i
\(430\) 3.43506 + 5.94971i 0.165653 + 0.286920i
\(431\) −20.6548 9.19613i −0.994909 0.442962i −0.156308 0.987708i \(-0.549959\pi\)
−0.838601 + 0.544746i \(0.816626\pi\)
\(432\) 1.97402 4.80658i 0.0949751 0.231257i
\(433\) 2.97814 9.16578i 0.143120 0.440479i −0.853644 0.520857i \(-0.825613\pi\)
0.996764 + 0.0803776i \(0.0256126\pi\)
\(434\) −16.5160 + 14.8296i −0.792793 + 0.711844i
\(435\) −9.45252 + 3.54497i −0.453214 + 0.169968i
\(436\) −13.2319 + 11.9140i −0.633692 + 0.570579i
\(437\) 0.255457 0.283714i 0.0122202 0.0135719i
\(438\) 11.4897 7.33595i 0.548998 0.350525i
\(439\) 32.3764 + 18.6925i 1.54524 + 0.892145i 0.998495 + 0.0548453i \(0.0174666\pi\)
0.546745 + 0.837299i \(0.315867\pi\)
\(440\) 3.61079 5.32947i 0.172138 0.254073i
\(441\) 17.9922 + 10.8296i 0.856771 + 0.515697i
\(442\) −17.5041 24.0924i −0.832587 1.14596i
\(443\) −5.00874 + 23.5643i −0.237973 + 1.11957i 0.683143 + 0.730284i \(0.260612\pi\)
−0.921116 + 0.389289i \(0.872721\pi\)
\(444\) 15.9132 + 6.24996i 0.755209 + 0.296610i
\(445\) −2.80046 + 26.6446i −0.132755 + 1.26308i
\(446\) −12.7494 + 5.67640i −0.603701 + 0.268785i
\(447\) −26.3320 + 20.9886i −1.24546 + 0.992726i
\(448\) 2.63164 0.272903i 0.124333 0.0128935i
\(449\) −6.31116 8.68657i −0.297842 0.409944i 0.633700 0.773579i \(-0.281536\pi\)
−0.931542 + 0.363635i \(0.881536\pi\)
\(450\) 3.67121 + 0.443290i 0.173062 + 0.0208969i
\(451\) 5.93221 + 9.53724i 0.279337 + 0.449091i
\(452\) −0.808506 + 0.466791i −0.0380289 + 0.0219560i
\(453\) 3.20660 + 1.66516i 0.150659 + 0.0782360i
\(454\) 3.10704 + 9.56249i 0.145821 + 0.448790i
\(455\) 30.1703 17.3630i 1.41440 0.813991i
\(456\) 0.762082 0.285803i 0.0356878 0.0133839i
\(457\) −4.38249 9.84323i −0.205004 0.460447i 0.781558 0.623832i \(-0.214425\pi\)
−0.986562 + 0.163386i \(0.947759\pi\)
\(458\) −17.7321 + 3.76907i −0.828566 + 0.176117i
\(459\) 13.9514 + 18.0689i 0.651195 + 0.843384i
\(460\) 0.164833 + 1.56828i 0.00768539 + 0.0731216i
\(461\) 15.8811 0.739657 0.369829 0.929100i \(-0.379416\pi\)
0.369829 + 0.929100i \(0.379416\pi\)
\(462\) −1.15539 15.1547i −0.0537534 0.705061i
\(463\) −13.2254 −0.614637 −0.307318 0.951607i \(-0.599432\pi\)
−0.307318 + 0.951607i \(0.599432\pi\)
\(464\) 0.313890 + 2.98647i 0.0145720 + 0.138643i
\(465\) −7.08927 27.2991i −0.328757 1.26597i
\(466\) −1.81947 + 0.386741i −0.0842854 + 0.0179154i
\(467\) 11.3821 + 25.5646i 0.526701 + 1.18299i 0.959554 + 0.281525i \(0.0908402\pi\)
−0.432853 + 0.901464i \(0.642493\pi\)
\(468\) −19.8234 4.53470i −0.916337 0.209617i
\(469\) −0.0144074 + 10.3787i −0.000665270 + 0.479242i
\(470\) 5.60036 + 17.2361i 0.258325 + 0.795044i
\(471\) −0.145398 + 0.279993i −0.00669960 + 0.0129014i
\(472\) −2.61241 + 1.50828i −0.120246 + 0.0694241i
\(473\) −2.81649 11.3964i −0.129502 0.524008i
\(474\) −5.80868 11.6212i −0.266801 0.533779i
\(475\) 0.340460 + 0.468603i 0.0156214 + 0.0215010i
\(476\) −4.74246 + 10.6121i −0.217370 + 0.486403i
\(477\) −1.12024 12.5150i −0.0512921 0.573022i
\(478\) −1.83382 + 0.816468i −0.0838768 + 0.0373444i
\(479\) 1.59293 15.1557i 0.0727827 0.692481i −0.895913 0.444230i \(-0.853477\pi\)
0.968696 0.248251i \(-0.0798559\pi\)
\(480\) −1.22899 + 3.12917i −0.0560953 + 0.142826i
\(481\) 13.9111 65.4464i 0.634290 2.98410i
\(482\) −6.98165 9.60941i −0.318005 0.437697i
\(483\) 2.60851 + 2.65648i 0.118691 + 0.120874i
\(484\) −8.45559 + 7.03584i −0.384345 + 0.319811i
\(485\) 3.24582 + 1.87397i 0.147385 + 0.0850928i
\(486\) 15.2909 + 3.03115i 0.693610 + 0.137496i
\(487\) −6.65399 + 7.39000i −0.301521 + 0.334873i −0.874797 0.484489i \(-0.839006\pi\)
0.573276 + 0.819362i \(0.305672\pi\)
\(488\) −3.80238 + 3.42368i −0.172126 + 0.154983i
\(489\) −12.8907 34.3726i −0.582938 1.55438i
\(490\) −11.7476 6.82605i −0.530703 0.308369i
\(491\) −1.60842 + 4.95021i −0.0725870 + 0.223400i −0.980768 0.195178i \(-0.937471\pi\)
0.908181 + 0.418578i \(0.137471\pi\)
\(492\) −4.11541 4.17947i −0.185537 0.188425i
\(493\) −12.0521 5.36595i −0.542800 0.241670i
\(494\) −1.59265 2.75854i −0.0716565 0.124113i
\(495\) 17.7768 + 7.54696i 0.799006 + 0.339211i
\(496\) −8.38958 −0.376703
\(497\) 34.4516 15.2816i 1.54536 0.685472i
\(498\) −2.44871 + 8.86431i −0.109730 + 0.397219i
\(499\) −7.12044 7.90805i −0.318755 0.354013i 0.562379 0.826879i \(-0.309886\pi\)
−0.881134 + 0.472866i \(0.843219\pi\)
\(500\) −12.0311 1.26452i −0.538046 0.0565510i
\(501\) −4.43803 + 5.39479i −0.198277 + 0.241021i
\(502\) −8.65484 + 7.79285i −0.386284 + 0.347812i
\(503\) −13.3840 41.1917i −0.596763 1.83665i −0.545748 0.837949i \(-0.683755\pi\)
−0.0510144 0.998698i \(-0.516245\pi\)
\(504\) 2.32533 + 7.58900i 0.103578 + 0.338041i
\(505\) 26.6593i 1.18632i
\(506\) 0.473378 2.65265i 0.0210442 0.117925i
\(507\) −3.42671 + 56.9644i −0.152186 + 2.52988i
\(508\) −0.836244 + 1.87824i −0.0371023 + 0.0833332i
\(509\) 8.77384 41.2777i 0.388894 1.82960i −0.151837 0.988406i \(-0.548519\pi\)
0.540731 0.841196i \(-0.318148\pi\)
\(510\) −9.20591 11.5496i −0.407645 0.511425i
\(511\) −6.46217 + 19.7950i −0.285870 + 0.875678i
\(512\) 0.809017 + 0.587785i 0.0357538 + 0.0259767i
\(513\) 1.28207 + 2.07807i 0.0566046 + 0.0917491i
\(514\) 18.0708 + 16.2710i 0.797067 + 0.717683i
\(515\) −1.62091 + 3.64062i −0.0714258 + 0.160425i
\(516\) 2.74098 + 5.48377i 0.120665 + 0.241410i
\(517\) −1.01691 30.9511i −0.0447237 1.36123i
\(518\) −24.8485 + 8.03564i −1.09178 + 0.353066i
\(519\) −37.7713 + 1.68711i −1.65798 + 0.0740559i
\(520\) 12.8693 + 2.73546i 0.564358 + 0.119958i
\(521\) 6.16082 + 28.9844i 0.269910 + 1.26983i 0.879036 + 0.476755i \(0.158187\pi\)
−0.609126 + 0.793073i \(0.708480\pi\)
\(522\) −8.60981 + 2.65119i −0.376841 + 0.116039i
\(523\) 7.42212 + 16.6703i 0.324546 + 0.728943i 0.999964 0.00849224i \(-0.00270320\pi\)
−0.675417 + 0.737436i \(0.736037\pi\)
\(524\) 1.90035 5.84867i 0.0830170 0.255500i
\(525\) −4.76514 + 3.03316i −0.207968 + 0.132378i
\(526\) −24.6396 + 17.9017i −1.07434 + 0.780552i
\(527\) 18.4289 31.9198i 0.802776 1.39045i
\(528\) 3.50189 4.55376i 0.152400 0.198177i
\(529\) −11.1700 19.3470i −0.485651 0.841172i
\(530\) 0.849760 + 8.08493i 0.0369112 + 0.351187i
\(531\) −5.95081 6.81794i −0.258243 0.295873i
\(532\) −0.623130 + 1.07584i −0.0270161 + 0.0466436i
\(533\) −13.4927 + 18.5711i −0.584433 + 0.804403i
\(534\) −3.92223 + 23.5837i −0.169732 + 1.02057i
\(535\) 0.536903 + 2.52593i 0.0232123 + 0.109205i
\(536\) −2.62484 + 2.91519i −0.113376 + 0.125917i
\(537\) −4.45730 2.31464i −0.192347 0.0998841i
\(538\) 8.71358i 0.375669i
\(539\) 16.0464 + 16.7783i 0.691169 + 0.722693i
\(540\) −9.92219 1.80809i −0.426983 0.0778078i
\(541\) −10.5147 + 1.10514i −0.452062 + 0.0475136i −0.327824 0.944739i \(-0.606315\pi\)
−0.124238 + 0.992252i \(0.539649\pi\)
\(542\) 14.6677 + 13.2068i 0.630031 + 0.567282i
\(543\) 20.1962 + 7.93211i 0.866704 + 0.340399i
\(544\) −4.01347 + 1.78691i −0.172076 + 0.0766132i
\(545\) 27.9592 + 20.3136i 1.19764 + 0.870138i
\(546\) 27.8046 13.8495i 1.18993 0.592704i
\(547\) 0.752165 0.244393i 0.0321603 0.0104495i −0.292893 0.956145i \(-0.594618\pi\)
0.325053 + 0.945696i \(0.394618\pi\)
\(548\) 20.5401 2.15886i 0.877431 0.0922217i
\(549\) −12.2774 9.21313i −0.523988 0.393207i
\(550\) 3.78730 + 1.53927i 0.161491 + 0.0656345i
\(551\) −1.22205 0.705554i −0.0520613 0.0300576i
\(552\) 0.0627913 + 1.40578i 0.00267258 + 0.0598341i
\(553\) 18.1187 + 8.09711i 0.770485 + 0.344324i
\(554\) −8.54602 2.77677i −0.363086 0.117974i
\(555\) 5.44410 32.7344i 0.231089 1.38950i
\(556\) 3.80313 + 0.399725i 0.161289 + 0.0169521i
\(557\) −12.0218 + 2.55532i −0.509382 + 0.108272i −0.455431 0.890271i \(-0.650515\pi\)
−0.0539510 + 0.998544i \(0.517181\pi\)
\(558\) −4.85200 24.6966i −0.205401 1.04549i
\(559\) 19.4104 14.1025i 0.820975 0.596473i
\(560\) −1.58012 4.88619i −0.0667724 0.206479i
\(561\) 9.63327 + 23.3267i 0.406717 + 0.984852i
\(562\) −0.178016 + 0.308333i −0.00750915 + 0.0130062i
\(563\) −30.9200 13.7665i −1.30312 0.580188i −0.366465 0.930432i \(-0.619432\pi\)
−0.936658 + 0.350244i \(0.886099\pi\)
\(564\) 4.06496 + 15.6532i 0.171166 + 0.659119i
\(565\) 1.21250 + 1.34662i 0.0510104 + 0.0566528i
\(566\) −8.29460 + 11.4165i −0.348648 + 0.479873i
\(567\) −20.9951 + 11.2341i −0.881712 + 0.471789i
\(568\) 13.5478 + 4.40194i 0.568452 + 0.184701i
\(569\) −14.2558 3.03017i −0.597636 0.127031i −0.100846 0.994902i \(-0.532155\pi\)
−0.496790 + 0.867871i \(0.665488\pi\)
\(570\) −0.850152 1.33152i −0.0356090 0.0557713i
\(571\) −34.2234 + 19.7589i −1.43220 + 0.826884i −0.997289 0.0735875i \(-0.976555\pi\)
−0.434916 + 0.900471i \(0.643222\pi\)
\(572\) −19.8283 10.5954i −0.829064 0.443018i
\(573\) 7.27788 11.0197i 0.304038 0.460354i
\(574\) 8.90937 + 0.948918i 0.371870 + 0.0396071i
\(575\) −0.952419 + 0.309460i −0.0397186 + 0.0129054i
\(576\) −1.26240 + 2.72146i −0.0525998 + 0.113394i
\(577\) 1.80520 17.1754i 0.0751516 0.715020i −0.890465 0.455051i \(-0.849621\pi\)
0.965617 0.259969i \(-0.0837123\pi\)
\(578\) 0.240519 2.28838i 0.0100043 0.0951842i
\(579\) −26.3323 + 3.96240i −1.09433 + 0.164672i
\(580\) 5.54331 1.80113i 0.230173 0.0747878i
\(581\) −5.69586 12.8410i −0.236304 0.532736i
\(582\) 2.79080 + 1.84317i 0.115683 + 0.0764018i
\(583\) 2.44039 13.6751i 0.101071 0.566366i
\(584\) −6.81595 + 3.93519i −0.282046 + 0.162839i
\(585\) −0.609647 + 39.4658i −0.0252058 + 1.63171i
\(586\) −3.74492 0.796008i −0.154701 0.0328828i
\(587\) −18.9588 6.16010i −0.782515 0.254254i −0.109601 0.993976i \(-0.534957\pi\)
−0.672913 + 0.739721i \(0.734957\pi\)
\(588\) −10.0984 6.70979i −0.416453 0.276707i
\(589\) 2.31726 3.18944i 0.0954812 0.131419i
\(590\) 3.91779 + 4.35115i 0.161293 + 0.179134i
\(591\) −5.44433 + 1.41383i −0.223950 + 0.0581572i
\(592\) −9.01735 4.01478i −0.370611 0.165007i
\(593\) −1.59393 + 2.76077i −0.0654548 + 0.113371i −0.896896 0.442242i \(-0.854183\pi\)
0.831441 + 0.555613i \(0.187516\pi\)
\(594\) 15.4303 + 7.67502i 0.633113 + 0.314910i
\(595\) 22.0614 + 4.72132i 0.904431 + 0.193555i
\(596\) 15.7283 11.4273i 0.644258 0.468081i
\(597\) 20.6129 + 20.9338i 0.843629 + 0.856761i
\(598\) 5.38676 1.14499i 0.220281 0.0468222i
\(599\) 9.01011 + 0.947001i 0.368143 + 0.0386934i 0.286794 0.957992i \(-0.407410\pi\)
0.0813491 + 0.996686i \(0.474077\pi\)
\(600\) −2.10604 0.350258i −0.0859788 0.0142992i
\(601\) 15.0502 + 4.89011i 0.613911 + 0.199472i 0.599435 0.800423i \(-0.295392\pi\)
0.0144763 + 0.999895i \(0.495392\pi\)
\(602\) −8.54979 3.82084i −0.348464 0.155726i
\(603\) −10.0996 6.04087i −0.411286 0.246003i
\(604\) −1.80659 1.04303i −0.0735089 0.0424404i
\(605\) 16.7702 + 13.2141i 0.681806 + 0.537230i
\(606\) 1.42850 23.7468i 0.0580288 0.964648i
\(607\) 14.1677 1.48909i 0.575051 0.0604403i 0.187461 0.982272i \(-0.439974\pi\)
0.387590 + 0.921832i \(0.373308\pi\)
\(608\) −0.446913 + 0.145211i −0.0181247 + 0.00588908i
\(609\) 7.59967 11.4723i 0.307954 0.464879i
\(610\) 8.03450 + 5.83741i 0.325307 + 0.236350i
\(611\) 57.8198 25.7431i 2.33914 1.04145i
\(612\) −7.58131 10.7811i −0.306456 0.435801i
\(613\) −15.7474 14.1790i −0.636031 0.572685i 0.286752 0.958005i \(-0.407424\pi\)
−0.922783 + 0.385320i \(0.874091\pi\)
\(614\) 17.2612 1.81423i 0.696607 0.0732163i
\(615\) −6.27419 + 9.49997i −0.253000 + 0.383076i
\(616\) 0.275975 + 8.77062i 0.0111193 + 0.353378i
\(617\) 33.0511i 1.33059i −0.746582 0.665293i \(-0.768307\pi\)
0.746582 0.665293i \(-0.231693\pi\)
\(618\) −1.63891 + 3.15604i −0.0659265 + 0.126954i
\(619\) −5.32475 + 5.91374i −0.214020 + 0.237693i −0.840590 0.541672i \(-0.817792\pi\)
0.626570 + 0.779365i \(0.284458\pi\)
\(620\) 3.38562 + 15.9281i 0.135970 + 0.639688i
\(621\) −4.10193 + 0.997856i −0.164605 + 0.0400426i
\(622\) 14.6484 20.1617i 0.587346 0.808413i
\(623\) −18.2158 31.6521i −0.729802 1.26812i
\(624\) 11.3168 + 3.12620i 0.453035 + 0.125148i
\(625\) 1.81017 + 17.2226i 0.0724069 + 0.688906i
\(626\) −13.5849 23.5298i −0.542964 0.940441i
\(627\) 0.763940 + 2.58909i 0.0305088 + 0.103398i
\(628\) 0.0910754 0.157747i 0.00363430 0.00629480i
\(629\) 35.0830 25.4893i 1.39885 1.01632i
\(630\) 13.4698 7.47731i 0.536648 0.297903i
\(631\) −4.27302 + 13.1510i −0.170106 + 0.523533i −0.999376 0.0353151i \(-0.988757\pi\)
0.829270 + 0.558848i \(0.188757\pi\)
\(632\) 3.05091 + 6.85246i 0.121359 + 0.272576i
\(633\) −8.55394 7.03692i −0.339988 0.279692i
\(634\) 0.0576347 + 0.271150i 0.00228897 + 0.0107687i
\(635\) 3.90341 + 0.829694i 0.154902 + 0.0329254i
\(636\) 0.323707 + 7.24720i 0.0128358 + 0.287370i
\(637\) −19.4197 + 43.2934i −0.769436 + 1.71535i
\(638\) −9.95417 + 0.327049i −0.394090 + 0.0129480i
\(639\) −5.12294 + 42.4268i −0.202660 + 1.67838i
\(640\) 0.789465 1.77317i 0.0312063 0.0700906i
\(641\) 21.1257 + 19.0216i 0.834413 + 0.751309i 0.970939 0.239327i \(-0.0769269\pi\)
−0.136526 + 0.990637i \(0.543594\pi\)
\(642\) 0.342899 + 2.27875i 0.0135331 + 0.0899349i
\(643\) 8.11733 + 5.89759i 0.320116 + 0.232578i 0.736225 0.676737i \(-0.236606\pi\)
−0.416109 + 0.909315i \(0.636606\pi\)
\(644\) −1.43608 1.59939i −0.0565897 0.0630249i
\(645\) 9.30514 7.41690i 0.366389 0.292040i
\(646\) 0.429225 2.01935i 0.0168876 0.0794501i
\(647\) −14.1754 + 31.8384i −0.557291 + 1.25170i 0.386846 + 0.922144i \(0.373564\pi\)
−0.944137 + 0.329552i \(0.893102\pi\)
\(648\) −8.74133 2.14223i −0.343392 0.0841546i
\(649\) −4.36725 9.00127i −0.171429 0.353331i
\(650\) 8.35533i 0.327723i
\(651\) 29.6564 + 24.4660i 1.16233 + 0.958898i
\(652\) 6.54952 + 20.1573i 0.256499 + 0.789422i
\(653\) 0.787802 0.709340i 0.0308291 0.0277586i −0.653572 0.756864i \(-0.726730\pi\)
0.684401 + 0.729106i \(0.260064\pi\)
\(654\) 23.8163 + 19.5925i 0.931290 + 0.766128i
\(655\) −11.8709 1.24768i −0.463835 0.0487510i
\(656\) 2.26599 + 2.51664i 0.0884721 + 0.0982582i
\(657\) −15.5260 17.7884i −0.605729 0.693993i
\(658\) −19.9656 14.5482i −0.778340 0.567149i
\(659\) −14.3495 −0.558978 −0.279489 0.960149i \(-0.590165\pi\)
−0.279489 + 0.960149i \(0.590165\pi\)
\(660\) −10.0588 4.81088i −0.391537 0.187263i
\(661\) −17.4838 30.2828i −0.680041 1.17786i −0.974968 0.222345i \(-0.928629\pi\)
0.294927 0.955520i \(-0.404705\pi\)
\(662\) 14.9084 + 6.63767i 0.579433 + 0.257980i
\(663\) −36.7533 + 36.1899i −1.42738 + 1.40550i
\(664\) 1.64072 5.04963i 0.0636725 0.195964i
\(665\) 2.29401 + 0.748891i 0.0889579 + 0.0290408i
\(666\) 6.60336 28.8665i 0.255875 1.11855i
\(667\) 1.81304 1.63247i 0.0702012 0.0632094i
\(668\) 2.69873 2.99724i 0.104417 0.115967i
\(669\) 13.0083 + 20.3738i 0.502929 + 0.787695i
\(670\) 6.59391 + 3.80699i 0.254745 + 0.147077i
\(671\) −10.4201 13.3940i −0.402263 0.517068i
\(672\) −1.14568 4.43705i −0.0441955 0.171163i
\(673\) 4.54195 + 6.25146i 0.175079 + 0.240976i 0.887534 0.460742i \(-0.152417\pi\)
−0.712455 + 0.701718i \(0.752417\pi\)
\(674\) 4.99734 23.5107i 0.192490 0.905597i
\(675\) −0.186936 6.40218i −0.00719517 0.246420i
\(676\) 3.44399 32.7674i 0.132461 1.26028i
\(677\) 10.1920 4.53779i 0.391712 0.174401i −0.201423 0.979504i \(-0.564557\pi\)
0.593135 + 0.805103i \(0.297890\pi\)
\(678\) 1.00788 + 1.26448i 0.0387075 + 0.0485619i
\(679\) −5.08160 + 0.526966i −0.195014 + 0.0202231i
\(680\) 5.01219 + 6.89869i 0.192209 + 0.264553i
\(681\) 15.5775 7.78621i 0.596933 0.298368i
\(682\) 1.99824 27.7532i 0.0765165 1.06273i
\(683\) 17.1776 9.91747i 0.657281 0.379481i −0.133959 0.990987i \(-0.542769\pi\)
0.791240 + 0.611505i \(0.209436\pi\)
\(684\) −0.685927 1.23161i −0.0262271 0.0470918i
\(685\) −12.3877 38.1254i −0.473310 1.45670i
\(686\) 18.4267 1.85917i 0.703535 0.0709835i
\(687\) 11.0257 + 29.3996i 0.420656 + 1.12166i
\(688\) −1.43966 3.23352i −0.0548864 0.123277i
\(689\) 27.7702 5.90274i 1.05796 0.224877i
\(690\) 2.64362 0.686518i 0.100641 0.0261353i
\(691\) 3.79008 + 36.0602i 0.144181 + 1.37179i 0.792243 + 0.610206i \(0.208913\pi\)
−0.648061 + 0.761588i \(0.724420\pi\)
\(692\) 21.8290 0.829815
\(693\) −25.6587 + 5.88477i −0.974694 + 0.223544i
\(694\) −7.64636 −0.290252
\(695\) −0.775855 7.38177i −0.0294299 0.280006i
\(696\) 5.03422 1.30733i 0.190822 0.0495542i
\(697\) −14.5526 + 3.09326i −0.551220 + 0.117165i
\(698\) 12.3362 + 27.7075i 0.466932 + 1.04875i
\(699\) 1.13133 + 3.01666i 0.0427910 + 0.114100i
\(700\) 2.82656 1.62669i 0.106834 0.0614830i
\(701\) 13.5723 + 41.7711i 0.512617 + 1.57767i 0.787576 + 0.616217i \(0.211336\pi\)
−0.274959 + 0.961456i \(0.588664\pi\)
\(702\) −2.65776 + 35.1216i −0.100311 + 1.32558i
\(703\) 4.01695 2.31919i 0.151502 0.0874698i
\(704\) −2.13712 + 2.53628i −0.0805458 + 0.0955896i
\(705\) 28.0781 14.0344i 1.05748 0.528567i
\(706\) 5.11919 + 7.04597i 0.192663 + 0.265178i
\(707\) 21.3189 + 29.4288i 0.801781 + 1.10679i
\(708\) 3.25663 + 4.08573i 0.122392 + 0.153551i
\(709\) 9.34571 4.16098i 0.350985 0.156269i −0.223669 0.974665i \(-0.571803\pi\)
0.574654 + 0.818396i \(0.305137\pi\)
\(710\) 2.89012 27.4977i 0.108464 1.03197i
\(711\) −18.4073 + 12.9441i −0.690328 + 0.485441i
\(712\) 2.86982 13.5014i 0.107551 0.505988i
\(713\) 4.00636 + 5.51428i 0.150039 + 0.206511i
\(714\) 19.3983 + 5.38766i 0.725963 + 0.201628i
\(715\) −12.1143 + 41.9210i −0.453050 + 1.56776i
\(716\) 2.51123 + 1.44986i 0.0938490 + 0.0541838i
\(717\) 1.87105 + 2.93047i 0.0698758 + 0.109440i
\(718\) −2.85484 + 3.17062i −0.106542 + 0.118327i
\(719\) −7.48582 + 6.74026i −0.279174 + 0.251369i −0.796808 0.604233i \(-0.793480\pi\)
0.517634 + 0.855602i \(0.326813\pi\)
\(720\) 5.67629 + 1.29848i 0.211543 + 0.0483916i
\(721\) −1.12204 5.31505i −0.0417869 0.197943i
\(722\) −5.80309 + 17.8601i −0.215969 + 0.664683i
\(723\) −14.6593 + 14.4346i −0.545185 + 0.536829i
\(724\) −11.4443 5.09535i −0.425325 0.189367i
\(725\) 1.85073 + 3.20557i 0.0687345 + 0.119052i
\(726\) 14.2300 + 12.6691i 0.528126 + 0.470194i
\(727\) −18.1263 −0.672267 −0.336134 0.941814i \(-0.609119\pi\)
−0.336134 + 0.941814i \(0.609119\pi\)
\(728\) −16.3938 + 7.27174i −0.607595 + 0.269509i
\(729\) 1.25070 26.9710i 0.0463221 0.998927i
\(730\) 10.2218 + 11.3524i 0.378325 + 0.420172i
\(731\) 15.4650 + 1.62544i 0.571993 + 0.0601189i
\(732\) 6.84396 + 5.63020i 0.252960 + 0.208098i
\(733\) −26.3979 + 23.7688i −0.975029 + 0.877920i −0.992539 0.121926i \(-0.961093\pi\)
0.0175098 + 0.999847i \(0.494426\pi\)
\(734\) −7.27850 22.4009i −0.268654 0.826834i
\(735\) −8.66369 + 21.8802i −0.319565 + 0.807065i
\(736\) 0.812439i 0.0299469i
\(737\) −9.01842 9.37749i −0.332198 0.345424i
\(738\) −6.09779 + 8.12592i −0.224463 + 0.299119i
\(739\) −1.75174 + 3.93447i −0.0644387 + 0.144732i −0.942894 0.333093i \(-0.891908\pi\)
0.878455 + 0.477824i \(0.158574\pi\)
\(740\) −3.98334 + 18.7401i −0.146430 + 0.688901i
\(741\) −4.31427 + 3.43880i −0.158489 + 0.126327i
\(742\) −7.40341 8.24531i −0.271788 0.302695i
\(743\) 36.8659 + 26.7846i 1.35248 + 0.982632i 0.998884 + 0.0472334i \(0.0150405\pi\)
0.353594 + 0.935399i \(0.384960\pi\)
\(744\) 2.16227 + 14.3694i 0.0792725 + 0.526808i
\(745\) −28.0426 25.2497i −1.02740 0.925076i
\(746\) −15.2501 + 34.2523i −0.558347 + 1.25407i
\(747\) 15.8136 + 1.90946i 0.578590 + 0.0698635i
\(748\) −4.95528 13.7024i −0.181183 0.501010i
\(749\) −2.61262 2.35899i −0.0954631 0.0861956i
\(750\) 0.934974 + 20.9324i 0.0341404 + 0.764342i
\(751\) −0.205029 0.0435803i −0.00748163 0.00159027i 0.204169 0.978936i \(-0.434551\pi\)
−0.211651 + 0.977345i \(0.567884\pi\)
\(752\) −1.94130 9.13311i −0.0707920 0.333050i
\(753\) 15.5780 + 12.8153i 0.567693 + 0.467014i
\(754\) −8.27921 18.5954i −0.301511 0.677205i
\(755\) −1.25121 + 3.85082i −0.0455361 + 0.140146i
\(756\) 12.3989 5.93867i 0.450943 0.215987i
\(757\) 7.94575 5.77293i 0.288793 0.209821i −0.433950 0.900937i \(-0.642881\pi\)
0.722744 + 0.691116i \(0.242881\pi\)
\(758\) −6.84927 + 11.8633i −0.248777 + 0.430894i
\(759\) −4.66537 0.127113i −0.169342 0.00461392i
\(760\) 0.456043 + 0.789890i 0.0165424 + 0.0286523i
\(761\) 1.63467 + 15.5529i 0.0592568 + 0.563791i 0.983363 + 0.181654i \(0.0581450\pi\)
−0.924106 + 0.382137i \(0.875188\pi\)
\(762\) 3.43251 + 0.948210i 0.124347 + 0.0343500i
\(763\) −47.1082 0.0653943i −1.70543 0.00236743i
\(764\) −4.48159 + 6.16839i −0.162138 + 0.223164i
\(765\) −17.4091 + 18.7443i −0.629429 + 0.677701i
\(766\) 5.09397 + 23.9652i 0.184052 + 0.865899i
\(767\) 13.6822 15.1956i 0.494034 0.548681i
\(768\) 0.798230 1.53715i 0.0288036 0.0554671i
\(769\) 8.36702i 0.301722i 0.988555 + 0.150861i \(0.0482047\pi\)
−0.988555 + 0.150861i \(0.951795\pi\)
\(770\) 16.5402 4.06335i 0.596066 0.146433i
\(771\) 23.2110 35.1446i 0.835924