Properties

Label 135.2.q.a.2.1
Level $135$
Weight $2$
Character 135.2
Analytic conductor $1.078$
Analytic rank $0$
Dimension $192$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 135 = 3^{3} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 135.q (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.07798042729\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(16\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 2.1
Character \(\chi\) \(=\) 135.2
Dual form 135.2.q.a.68.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.52658 - 2.18018i) q^{2} +(1.25829 + 1.19025i) q^{3} +(-1.73870 + 4.77703i) q^{4} +(-1.77382 + 1.36146i) q^{5} +(0.674088 - 4.56031i) q^{6} +(2.78918 + 1.30062i) q^{7} +(7.92739 - 2.12414i) q^{8} +(0.166591 + 2.99537i) q^{9} +O(q^{10})\) \(q+(-1.52658 - 2.18018i) q^{2} +(1.25829 + 1.19025i) q^{3} +(-1.73870 + 4.77703i) q^{4} +(-1.77382 + 1.36146i) q^{5} +(0.674088 - 4.56031i) q^{6} +(2.78918 + 1.30062i) q^{7} +(7.92739 - 2.12414i) q^{8} +(0.166591 + 2.99537i) q^{9} +(5.67609 + 1.78885i) q^{10} +(-0.426793 + 0.508631i) q^{11} +(-7.87366 + 3.94140i) q^{12} +(0.384347 + 0.269123i) q^{13} +(-1.42232 - 8.06640i) q^{14} +(-3.85246 - 0.398175i) q^{15} +(-8.94423 - 7.50510i) q^{16} +(4.50051 + 1.20591i) q^{17} +(6.27613 - 4.93586i) q^{18} +(-4.80938 - 2.77670i) q^{19} +(-3.41962 - 10.8407i) q^{20} +(1.96154 + 4.95639i) q^{21} +(1.76044 + 0.154018i) q^{22} +(0.0280775 + 0.0602123i) q^{23} +(12.5032 + 6.76283i) q^{24} +(1.29284 - 4.82997i) q^{25} -1.24878i q^{26} +(-3.35563 + 3.96733i) q^{27} +(-11.0626 + 11.0626i) q^{28} +(-0.434735 + 2.46551i) q^{29} +(5.01298 + 9.00689i) q^{30} +(1.76652 + 0.642961i) q^{31} +(-1.27781 + 14.6055i) q^{32} +(-1.14243 + 0.132015i) q^{33} +(-4.24128 - 11.6528i) q^{34} +(-6.71823 + 1.49031i) q^{35} +(-14.5986 - 4.41223i) q^{36} +(0.656295 - 2.44933i) q^{37} +(1.28820 + 14.7241i) q^{38} +(0.163296 + 0.796105i) q^{39} +(-11.1698 + 14.5607i) q^{40} +(1.62695 - 0.286875i) q^{41} +(7.81137 - 11.8428i) q^{42} +(8.36925 - 0.732214i) q^{43} +(-1.68769 - 2.92316i) q^{44} +(-4.37359 - 5.08643i) q^{45} +(0.0884111 - 0.153133i) q^{46} +(1.73166 - 3.71355i) q^{47} +(-2.32146 - 20.0895i) q^{48} +(1.58841 + 1.89299i) q^{49} +(-12.5038 + 4.55469i) q^{50} +(4.22761 + 6.87413i) q^{51} +(-1.95387 + 1.36812i) q^{52} +(-7.52870 - 7.52870i) q^{53} +(13.7721 + 1.25944i) q^{54} +(0.0645683 - 1.48328i) q^{55} +(24.8736 + 4.38589i) q^{56} +(-2.74662 - 9.21828i) q^{57} +(6.03890 - 2.81598i) q^{58} +(3.49452 - 2.93225i) q^{59} +(8.60036 - 17.7110i) q^{60} +(-5.84534 + 2.12753i) q^{61} +(-1.29496 - 4.83286i) q^{62} +(-3.43118 + 8.57130i) q^{63} +(13.5701 - 7.83468i) q^{64} +(-1.04816 + 0.0459001i) q^{65} +(2.03182 + 2.28917i) q^{66} +(3.13881 - 4.48268i) q^{67} +(-13.5857 + 19.4024i) q^{68} +(-0.0363384 + 0.109184i) q^{69} +(13.5050 + 12.3719i) q^{70} +(-5.33043 + 3.07752i) q^{71} +(7.68321 + 23.3916i) q^{72} +(-3.64803 - 13.6146i) q^{73} +(-6.34185 + 2.30824i) q^{74} +(7.37565 - 4.53869i) q^{75} +(21.6264 - 18.1467i) q^{76} +(-1.85194 + 0.863572i) q^{77} +(1.48637 - 1.57133i) q^{78} +(5.34198 + 0.941936i) q^{79} +(26.0833 + 1.13543i) q^{80} +(-8.94450 + 0.998001i) q^{81} +(-3.10910 - 3.10910i) q^{82} +(4.64599 - 3.25316i) q^{83} +(-27.0873 + 0.752663i) q^{84} +(-9.62487 + 3.98822i) q^{85} +(-14.3727 - 17.1287i) q^{86} +(-3.48160 + 2.58488i) q^{87} +(-2.30295 + 4.93869i) q^{88} +(3.08131 - 5.33699i) q^{89} +(-4.41270 + 17.3000i) q^{90} +(0.721988 + 1.25052i) q^{91} +(-0.336454 + 0.0294359i) q^{92} +(1.45751 + 2.91164i) q^{93} +(-10.7397 + 1.89370i) q^{94} +(12.3113 - 1.62244i) q^{95} +(-18.9921 + 16.8570i) q^{96} +(-1.18828 - 13.5821i) q^{97} +(1.70223 - 6.35281i) q^{98} +(-1.59464 - 1.19367i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 36 q^{6} - 12 q^{7} - 18 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 192 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 36 q^{6} - 12 q^{7} - 18 q^{8} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{13} - 12 q^{15} - 24 q^{16} - 18 q^{17} - 54 q^{18} + 36 q^{20} - 24 q^{21} - 12 q^{22} - 36 q^{23} - 30 q^{25} - 36 q^{27} - 24 q^{28} + 60 q^{30} - 24 q^{31} - 48 q^{32} - 6 q^{33} + 36 q^{35} + 12 q^{36} - 6 q^{37} + 12 q^{38} - 36 q^{40} + 24 q^{41} - 24 q^{42} - 12 q^{43} + 18 q^{45} - 12 q^{46} - 6 q^{47} + 12 q^{48} + 36 q^{50} + 144 q^{51} + 12 q^{52} - 24 q^{55} + 180 q^{56} - 12 q^{57} - 12 q^{58} - 36 q^{60} - 60 q^{61} - 18 q^{62} - 54 q^{63} - 84 q^{65} + 72 q^{66} + 24 q^{67} - 60 q^{68} - 12 q^{70} - 36 q^{71} + 180 q^{72} - 6 q^{73} - 60 q^{75} - 72 q^{76} + 132 q^{77} + 78 q^{78} + 12 q^{81} - 24 q^{82} + 48 q^{83} - 12 q^{85} + 12 q^{86} + 144 q^{87} - 48 q^{88} + 48 q^{90} - 12 q^{91} + 258 q^{92} + 180 q^{93} + 18 q^{95} - 12 q^{96} + 24 q^{97} + 324 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/135\mathbb{Z}\right)^\times\).

\(n\) \(56\) \(82\)
\(\chi(n)\) \(e\left(\frac{1}{18}\right)\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.52658 2.18018i −1.07945 1.54162i −0.816969 0.576682i \(-0.804347\pi\)
−0.262484 0.964936i \(-0.584542\pi\)
\(3\) 1.25829 + 1.19025i 0.726474 + 0.687193i
\(4\) −1.73870 + 4.77703i −0.869348 + 2.38851i
\(5\) −1.77382 + 1.36146i −0.793274 + 0.608864i
\(6\) 0.674088 4.56031i 0.275195 1.86174i
\(7\) 2.78918 + 1.30062i 1.05421 + 0.491587i 0.870896 0.491468i \(-0.163539\pi\)
0.183315 + 0.983054i \(0.441317\pi\)
\(8\) 7.92739 2.12414i 2.80276 0.750996i
\(9\) 0.166591 + 2.99537i 0.0555302 + 0.998457i
\(10\) 5.67609 + 1.78885i 1.79494 + 0.565686i
\(11\) −0.426793 + 0.508631i −0.128683 + 0.153358i −0.826538 0.562880i \(-0.809693\pi\)
0.697856 + 0.716238i \(0.254138\pi\)
\(12\) −7.87366 + 3.94140i −2.27293 + 1.13778i
\(13\) 0.384347 + 0.269123i 0.106599 + 0.0746412i 0.625660 0.780096i \(-0.284830\pi\)
−0.519062 + 0.854737i \(0.673718\pi\)
\(14\) −1.42232 8.06640i −0.380132 2.15584i
\(15\) −3.85246 0.398175i −0.994701 0.102808i
\(16\) −8.94423 7.50510i −2.23606 1.87627i
\(17\) 4.50051 + 1.20591i 1.09153 + 0.292476i 0.759313 0.650726i \(-0.225535\pi\)
0.332221 + 0.943201i \(0.392202\pi\)
\(18\) 6.27613 4.93586i 1.47930 1.16339i
\(19\) −4.80938 2.77670i −1.10335 0.637018i −0.166249 0.986084i \(-0.553166\pi\)
−0.937098 + 0.349066i \(0.886499\pi\)
\(20\) −3.41962 10.8407i −0.764650 2.42406i
\(21\) 1.96154 + 4.95639i 0.428042 + 1.08157i
\(22\) 1.76044 + 0.154018i 0.375327 + 0.0328368i
\(23\) 0.0280775 + 0.0602123i 0.00585456 + 0.0125551i 0.909213 0.416331i \(-0.136684\pi\)
−0.903359 + 0.428886i \(0.858906\pi\)
\(24\) 12.5032 + 6.76283i 2.55221 + 1.38046i
\(25\) 1.29284 4.82997i 0.258568 0.965993i
\(26\) 1.24878i 0.244906i
\(27\) −3.35563 + 3.96733i −0.645792 + 0.763513i
\(28\) −11.0626 + 11.0626i −2.09064 + 2.09064i
\(29\) −0.434735 + 2.46551i −0.0807283 + 0.457833i 0.917469 + 0.397808i \(0.130229\pi\)
−0.998197 + 0.0600247i \(0.980882\pi\)
\(30\) 5.01298 + 9.00689i 0.915241 + 1.64443i
\(31\) 1.76652 + 0.642961i 0.317276 + 0.115479i 0.495749 0.868466i \(-0.334893\pi\)
−0.178473 + 0.983945i \(0.557116\pi\)
\(32\) −1.27781 + 14.6055i −0.225888 + 2.58191i
\(33\) −1.14243 + 0.132015i −0.198871 + 0.0229808i
\(34\) −4.24128 11.6528i −0.727373 1.99844i
\(35\) −6.71823 + 1.49031i −1.13559 + 0.251909i
\(36\) −14.5986 4.41223i −2.43310 0.735372i
\(37\) 0.656295 2.44933i 0.107894 0.402667i −0.890763 0.454468i \(-0.849830\pi\)
0.998657 + 0.0518010i \(0.0164962\pi\)
\(38\) 1.28820 + 14.7241i 0.208973 + 2.38857i
\(39\) 0.163296 + 0.796105i 0.0261483 + 0.127479i
\(40\) −11.1698 + 14.5607i −1.76610 + 2.30224i
\(41\) 1.62695 0.286875i 0.254087 0.0448023i −0.0451539 0.998980i \(-0.514378\pi\)
0.299241 + 0.954178i \(0.403267\pi\)
\(42\) 7.81137 11.8428i 1.20532 1.82738i
\(43\) 8.36925 0.732214i 1.27630 0.111662i 0.571224 0.820794i \(-0.306469\pi\)
0.705075 + 0.709133i \(0.250913\pi\)
\(44\) −1.68769 2.92316i −0.254428 0.440682i
\(45\) −4.37359 5.08643i −0.651976 0.758240i
\(46\) 0.0884111 0.153133i 0.0130355 0.0225782i
\(47\) 1.73166 3.71355i 0.252588 0.541677i −0.738599 0.674145i \(-0.764512\pi\)
0.991187 + 0.132468i \(0.0422902\pi\)
\(48\) −2.32146 20.0895i −0.335075 2.89967i
\(49\) 1.58841 + 1.89299i 0.226916 + 0.270428i
\(50\) −12.5038 + 4.55469i −1.76830 + 0.644131i
\(51\) 4.22761 + 6.87413i 0.591984 + 0.962571i
\(52\) −1.95387 + 1.36812i −0.270953 + 0.189723i
\(53\) −7.52870 7.52870i −1.03415 1.03415i −0.999396 0.0347509i \(-0.988936\pi\)
−0.0347509 0.999396i \(-0.511064\pi\)
\(54\) 13.7721 + 1.25944i 1.87415 + 0.171388i
\(55\) 0.0645683 1.48328i 0.00870639 0.200005i
\(56\) 24.8736 + 4.38589i 3.32388 + 0.586089i
\(57\) −2.74662 9.21828i −0.363799 1.22099i
\(58\) 6.03890 2.81598i 0.792946 0.369757i
\(59\) 3.49452 2.93225i 0.454948 0.381747i −0.386320 0.922365i \(-0.626254\pi\)
0.841268 + 0.540618i \(0.181810\pi\)
\(60\) 8.60036 17.7110i 1.11030 2.28648i
\(61\) −5.84534 + 2.12753i −0.748419 + 0.272402i −0.687940 0.725767i \(-0.741485\pi\)
−0.0604785 + 0.998169i \(0.519263\pi\)
\(62\) −1.29496 4.83286i −0.164460 0.613773i
\(63\) −3.43118 + 8.57130i −0.432288 + 1.07988i
\(64\) 13.5701 7.83468i 1.69626 0.979335i
\(65\) −1.04816 + 0.0459001i −0.130008 + 0.00569321i
\(66\) 2.03182 + 2.28917i 0.250100 + 0.281777i
\(67\) 3.13881 4.48268i 0.383466 0.547646i −0.580297 0.814405i \(-0.697064\pi\)
0.963763 + 0.266758i \(0.0859525\pi\)
\(68\) −13.5857 + 19.4024i −1.64751 + 2.35288i
\(69\) −0.0363384 + 0.109184i −0.00437462 + 0.0131442i
\(70\) 13.5050 + 12.3719i 1.61416 + 1.47872i
\(71\) −5.33043 + 3.07752i −0.632605 + 0.365235i −0.781760 0.623579i \(-0.785678\pi\)
0.149155 + 0.988814i \(0.452345\pi\)
\(72\) 7.68321 + 23.3916i 0.905475 + 2.75673i
\(73\) −3.64803 13.6146i −0.426970 1.59347i −0.759583 0.650410i \(-0.774597\pi\)
0.332613 0.943063i \(-0.392070\pi\)
\(74\) −6.34185 + 2.30824i −0.737225 + 0.268328i
\(75\) 7.37565 4.53869i 0.851667 0.524083i
\(76\) 21.6264 18.1467i 2.48072 2.08157i
\(77\) −1.85194 + 0.863572i −0.211048 + 0.0984131i
\(78\) 1.48637 1.57133i 0.168298 0.177918i
\(79\) 5.34198 + 0.941936i 0.601020 + 0.105976i 0.465876 0.884850i \(-0.345739\pi\)
0.135144 + 0.990826i \(0.456850\pi\)
\(80\) 26.0833 + 1.13543i 2.91620 + 0.126945i
\(81\) −8.94450 + 0.998001i −0.993833 + 0.110889i
\(82\) −3.10910 3.10910i −0.343343 0.343343i
\(83\) 4.64599 3.25316i 0.509964 0.357081i −0.290099 0.956997i \(-0.593688\pi\)
0.800063 + 0.599916i \(0.204799\pi\)
\(84\) −27.0873 + 0.752663i −2.95547 + 0.0821222i
\(85\) −9.62487 + 3.98822i −1.04396 + 0.432583i
\(86\) −14.3727 17.1287i −1.54984 1.84703i
\(87\) −3.48160 + 2.58488i −0.373267 + 0.277128i
\(88\) −2.30295 + 4.93869i −0.245495 + 0.526466i
\(89\) 3.08131 5.33699i 0.326619 0.565720i −0.655220 0.755438i \(-0.727424\pi\)
0.981839 + 0.189718i \(0.0607574\pi\)
\(90\) −4.41270 + 17.3000i −0.465139 + 1.82358i
\(91\) 0.721988 + 1.25052i 0.0756849 + 0.131090i
\(92\) −0.336454 + 0.0294359i −0.0350778 + 0.00306891i
\(93\) 1.45751 + 2.91164i 0.151137 + 0.301923i
\(94\) −10.7397 + 1.89370i −1.10772 + 0.195320i
\(95\) 12.3113 1.62244i 1.26312 0.166459i
\(96\) −18.9921 + 16.8570i −1.93837 + 1.72046i
\(97\) −1.18828 13.5821i −0.120652 1.37906i −0.779321 0.626625i \(-0.784436\pi\)
0.658669 0.752433i \(-0.271120\pi\)
\(98\) 1.70223 6.35281i 0.171951 0.641731i
\(99\) −1.59464 1.19367i −0.160267 0.119968i
\(100\) 20.8250 + 14.5738i 2.08250 + 1.45738i
\(101\) −0.629841 1.73048i −0.0626716 0.172189i 0.904405 0.426676i \(-0.140316\pi\)
−0.967076 + 0.254487i \(0.918093\pi\)
\(102\) 8.53305 19.7108i 0.844898 1.95166i
\(103\) −1.42347 + 16.2704i −0.140259 + 1.60317i 0.521368 + 0.853332i \(0.325422\pi\)
−0.661627 + 0.749833i \(0.730134\pi\)
\(104\) 3.61852 + 1.31704i 0.354826 + 0.129146i
\(105\) −10.2273 6.12116i −0.998086 0.597364i
\(106\) −4.92077 + 27.9071i −0.477947 + 2.71057i
\(107\) −10.4880 + 10.4880i −1.01391 + 1.01391i −0.0140087 + 0.999902i \(0.504459\pi\)
−0.999902 + 0.0140087i \(0.995541\pi\)
\(108\) −13.1176 22.9279i −1.26225 2.20624i
\(109\) 9.34913i 0.895484i 0.894163 + 0.447742i \(0.147772\pi\)
−0.894163 + 0.447742i \(0.852228\pi\)
\(110\) −3.33238 + 2.12357i −0.317730 + 0.202474i
\(111\) 3.74113 2.30081i 0.355092 0.218383i
\(112\) −15.1858 32.5661i −1.43492 3.07721i
\(113\) 20.6993 + 1.81095i 1.94722 + 0.170360i 0.992064 0.125734i \(-0.0401285\pi\)
0.955159 + 0.296094i \(0.0956841\pi\)
\(114\) −15.9045 + 20.0605i −1.48960 + 1.87884i
\(115\) −0.131781 0.0685791i −0.0122886 0.00639504i
\(116\) −11.0219 6.36351i −1.02336 0.590837i
\(117\) −0.742094 + 1.19610i −0.0686066 + 0.110579i
\(118\) −11.7275 3.14237i −1.07960 0.289278i
\(119\) 10.9843 + 9.21693i 1.00693 + 0.844915i
\(120\) −31.3857 + 5.02667i −2.86511 + 0.458870i
\(121\) 1.83358 + 10.3987i 0.166689 + 0.945339i
\(122\) 13.5617 + 9.49604i 1.22782 + 0.859731i
\(123\) 2.38863 + 1.57551i 0.215375 + 0.142059i
\(124\) −6.14289 + 7.32081i −0.551648 + 0.657428i
\(125\) 4.28256 + 10.3276i 0.383043 + 0.923730i
\(126\) 23.9249 5.60417i 2.13140 0.499259i
\(127\) 7.35416 1.97054i 0.652576 0.174857i 0.0826829 0.996576i \(-0.473651\pi\)
0.569893 + 0.821719i \(0.306984\pi\)
\(128\) −11.2214 5.23265i −0.991845 0.462505i
\(129\) 11.4025 + 9.04019i 1.00393 + 0.795945i
\(130\) 1.70017 + 2.21511i 0.149115 + 0.194278i
\(131\) 4.01388 11.0280i 0.350694 0.963524i −0.631454 0.775414i \(-0.717541\pi\)
0.982148 0.188111i \(-0.0602363\pi\)
\(132\) 1.35570 5.68695i 0.117999 0.494986i
\(133\) −9.80281 13.9999i −0.850012 1.21394i
\(134\) −14.5647 −1.25820
\(135\) 0.550899 11.6059i 0.0474138 0.998875i
\(136\) 38.2388 3.27895
\(137\) 3.85643 + 5.50755i 0.329477 + 0.470542i 0.949377 0.314139i \(-0.101716\pi\)
−0.619900 + 0.784681i \(0.712827\pi\)
\(138\) 0.293514 0.0874536i 0.0249855 0.00744454i
\(139\) 0.519349 1.42690i 0.0440506 0.121028i −0.915717 0.401824i \(-0.868376\pi\)
0.959767 + 0.280796i \(0.0905985\pi\)
\(140\) 4.56170 34.6844i 0.385534 2.93137i
\(141\) 6.59899 2.61161i 0.555735 0.219937i
\(142\) 14.8468 + 6.92320i 1.24592 + 0.580982i
\(143\) −0.300921 + 0.0806315i −0.0251643 + 0.00674274i
\(144\) 20.9905 28.0416i 1.74921 2.33680i
\(145\) −2.58555 4.96523i −0.214719 0.412340i
\(146\) −24.1133 + 28.7372i −1.99563 + 2.37830i
\(147\) −0.254462 + 4.27255i −0.0209876 + 0.352394i
\(148\) 10.5594 + 7.39377i 0.867978 + 0.607764i
\(149\) −3.69731 20.9685i −0.302895 1.71780i −0.633250 0.773947i \(-0.718280\pi\)
0.330355 0.943857i \(-0.392832\pi\)
\(150\) −21.1547 9.15157i −1.72727 0.747223i
\(151\) 6.08208 + 5.10347i 0.494952 + 0.415314i 0.855797 0.517312i \(-0.173067\pi\)
−0.360845 + 0.932626i \(0.617512\pi\)
\(152\) −44.0239 11.7962i −3.57081 0.956797i
\(153\) −2.86240 + 13.6816i −0.231411 + 1.10609i
\(154\) 4.70986 + 2.71924i 0.379531 + 0.219123i
\(155\) −4.00885 + 1.26456i −0.321998 + 0.101572i
\(156\) −4.08694 0.604116i −0.327217 0.0483680i
\(157\) −13.6200 1.19160i −1.08699 0.0950997i −0.470455 0.882424i \(-0.655910\pi\)
−0.616539 + 0.787324i \(0.711466\pi\)
\(158\) −6.10136 13.0844i −0.485398 1.04094i
\(159\) −0.512227 18.4344i −0.0406223 1.46194i
\(160\) −17.6182 27.6471i −1.39284 2.18570i
\(161\) 0.204461i 0.0161138i
\(162\) 15.8303 + 17.9771i 1.24374 + 1.41241i
\(163\) 13.8462 13.8462i 1.08452 1.08452i 0.0884330 0.996082i \(-0.471814\pi\)
0.996082 0.0884330i \(-0.0281859\pi\)
\(164\) −1.45836 + 8.27077i −0.113879 + 0.645839i
\(165\) 1.84673 1.78954i 0.143767 0.139316i
\(166\) −14.1849 5.16289i −1.10096 0.400718i
\(167\) −1.91506 + 21.8892i −0.148192 + 1.69384i 0.450435 + 0.892809i \(0.351269\pi\)
−0.598627 + 0.801028i \(0.704287\pi\)
\(168\) 26.0779 + 35.1246i 2.01195 + 2.70992i
\(169\) −4.37097 12.0091i −0.336228 0.923779i
\(170\) 23.3881 + 14.8956i 1.79379 + 1.14244i
\(171\) 7.51604 14.8685i 0.574766 1.13702i
\(172\) −11.0538 + 41.2533i −0.842842 + 3.14553i
\(173\) −0.327061 3.73833i −0.0248660 0.284220i −0.998439 0.0558456i \(-0.982215\pi\)
0.973573 0.228374i \(-0.0733410\pi\)
\(174\) 10.9504 + 3.64450i 0.830149 + 0.276288i
\(175\) 9.88789 11.7902i 0.747455 0.891252i
\(176\) 7.63466 1.34620i 0.575484 0.101473i
\(177\) 7.88725 + 0.469743i 0.592842 + 0.0353081i
\(178\) −16.3394 + 1.42952i −1.22469 + 0.107147i
\(179\) 7.21345 + 12.4941i 0.539158 + 0.933850i 0.998950 + 0.0458226i \(0.0145909\pi\)
−0.459791 + 0.888027i \(0.652076\pi\)
\(180\) 31.9024 12.0490i 2.37786 0.898079i
\(181\) −7.06370 + 12.2347i −0.525041 + 0.909397i 0.474534 + 0.880237i \(0.342617\pi\)
−0.999575 + 0.0291599i \(0.990717\pi\)
\(182\) 1.62419 3.48308i 0.120393 0.258183i
\(183\) −9.88743 4.28039i −0.730900 0.316415i
\(184\) 0.350480 + 0.417686i 0.0258378 + 0.0307922i
\(185\) 2.17052 + 5.23817i 0.159580 + 0.385118i
\(186\) 4.12289 7.62247i 0.302305 0.558907i
\(187\) −2.53415 + 1.77443i −0.185315 + 0.129759i
\(188\) 14.7289 + 14.7289i 1.07422 + 1.07422i
\(189\) −14.5194 + 6.70121i −1.05613 + 0.487442i
\(190\) −22.3314 24.3641i −1.62009 1.76756i
\(191\) −2.54718 0.449136i −0.184307 0.0324983i 0.0807326 0.996736i \(-0.474274\pi\)
−0.265040 + 0.964237i \(0.585385\pi\)
\(192\) 26.4003 + 6.29352i 1.90528 + 0.454195i
\(193\) −12.9195 + 6.02445i −0.929963 + 0.433649i −0.827740 0.561112i \(-0.810374\pi\)
−0.102224 + 0.994761i \(0.532596\pi\)
\(194\) −27.7975 + 23.3248i −1.99574 + 1.67463i
\(195\) −1.37352 1.18982i −0.0983601 0.0852050i
\(196\) −11.8046 + 4.29654i −0.843189 + 0.306896i
\(197\) −2.16013 8.06170i −0.153903 0.574372i −0.999197 0.0400711i \(-0.987242\pi\)
0.845294 0.534301i \(-0.179425\pi\)
\(198\) −0.168070 + 5.29882i −0.0119442 + 0.376571i
\(199\) −3.27312 + 1.88973i −0.232025 + 0.133960i −0.611506 0.791240i \(-0.709436\pi\)
0.379481 + 0.925200i \(0.376103\pi\)
\(200\) −0.0106623 41.0352i −0.000753936 2.90163i
\(201\) 9.28506 1.90454i 0.654917 0.134336i
\(202\) −2.81124 + 4.01487i −0.197798 + 0.282485i
\(203\) −4.41923 + 6.31132i −0.310169 + 0.442968i
\(204\) −40.1885 + 8.24340i −2.81376 + 0.577153i
\(205\) −2.49534 + 2.72389i −0.174282 + 0.190245i
\(206\) 37.6453 21.7345i 2.62287 1.51432i
\(207\) −0.175681 + 0.0941332i −0.0122107 + 0.00654271i
\(208\) −1.41790 5.29166i −0.0983134 0.366911i
\(209\) 3.46492 1.26113i 0.239674 0.0872341i
\(210\) 2.26761 + 31.6418i 0.156480 + 2.18349i
\(211\) −13.6392 + 11.4447i −0.938964 + 0.787885i −0.977405 0.211376i \(-0.932205\pi\)
0.0384403 + 0.999261i \(0.487761\pi\)
\(212\) 49.0550 22.8747i 3.36911 1.57104i
\(213\) −10.3703 2.47214i −0.710558 0.169388i
\(214\) 38.8763 + 6.85495i 2.65753 + 0.468594i
\(215\) −13.8486 + 12.6932i −0.944468 + 0.865671i
\(216\) −18.1743 + 38.5784i −1.23660 + 2.62493i
\(217\) 4.09090 + 4.09090i 0.277708 + 0.277708i
\(218\) 20.3828 14.2722i 1.38049 0.966633i
\(219\) 11.6146 21.4733i 0.784842 1.45103i
\(220\) 6.97341 + 2.88742i 0.470147 + 0.194670i
\(221\) 1.40522 + 1.67468i 0.0945254 + 0.112651i
\(222\) −10.7273 4.64397i −0.719968 0.311683i
\(223\) −8.09113 + 17.3515i −0.541822 + 1.16194i 0.424694 + 0.905337i \(0.360382\pi\)
−0.966516 + 0.256605i \(0.917396\pi\)
\(224\) −22.5602 + 39.0754i −1.50737 + 2.61083i
\(225\) 14.6829 + 3.06791i 0.978861 + 0.204527i
\(226\) −27.6508 47.8926i −1.83930 3.18577i
\(227\) 0.480953 0.0420779i 0.0319220 0.00279281i −0.0711836 0.997463i \(-0.522678\pi\)
0.103106 + 0.994670i \(0.467122\pi\)
\(228\) 48.8115 + 2.90709i 3.23262 + 0.192526i
\(229\) −14.7979 + 2.60927i −0.977875 + 0.172426i −0.639672 0.768648i \(-0.720930\pi\)
−0.338203 + 0.941073i \(0.609819\pi\)
\(230\) 0.0516592 + 0.391997i 0.00340631 + 0.0258475i
\(231\) −3.35814 1.11765i −0.220950 0.0735359i
\(232\) 1.79076 + 20.4685i 0.117569 + 1.34382i
\(233\) −0.143242 + 0.534587i −0.00938411 + 0.0350220i −0.970459 0.241266i \(-0.922438\pi\)
0.961075 + 0.276287i \(0.0891042\pi\)
\(234\) 3.74056 0.208035i 0.244528 0.0135997i
\(235\) 1.98422 + 8.94473i 0.129436 + 0.583490i
\(236\) 7.93154 + 21.7917i 0.516299 + 1.41852i
\(237\) 5.60062 + 7.54355i 0.363800 + 0.490006i
\(238\) 3.32615 38.0181i 0.215602 2.46435i
\(239\) 5.32354 + 1.93761i 0.344351 + 0.125334i 0.508406 0.861118i \(-0.330235\pi\)
−0.164054 + 0.986451i \(0.552457\pi\)
\(240\) 31.4689 + 32.4745i 2.03131 + 2.09622i
\(241\) 0.317967 1.80328i 0.0204821 0.116160i −0.972853 0.231426i \(-0.925661\pi\)
0.993335 + 0.115266i \(0.0367721\pi\)
\(242\) 19.8720 19.8720i 1.27742 1.27742i
\(243\) −12.4426 9.39045i −0.798196 0.602397i
\(244\) 31.6225i 2.02442i
\(245\) −5.39478 1.19526i −0.344660 0.0763623i
\(246\) −0.211532 7.61277i −0.0134868 0.485372i
\(247\) −1.10120 2.36153i −0.0700677 0.150261i
\(248\) 15.3696 + 1.34467i 0.975973 + 0.0853866i
\(249\) 9.71810 + 1.43649i 0.615859 + 0.0910340i
\(250\) 15.9784 25.1026i 1.01056 1.58763i
\(251\) −16.8470 9.72663i −1.06337 0.613939i −0.137011 0.990570i \(-0.543749\pi\)
−0.926364 + 0.376630i \(0.877083\pi\)
\(252\) −34.9796 31.2937i −2.20351 1.97132i
\(253\) −0.0426091 0.0114171i −0.00267881 0.000717786i
\(254\) −15.5228 13.0252i −0.973988 0.817273i
\(255\) −16.8579 6.43771i −1.05568 0.403145i
\(256\) 0.280392 + 1.59018i 0.0175245 + 0.0993864i
\(257\) −24.5109 17.1627i −1.52895 1.07058i −0.970518 0.241027i \(-0.922516\pi\)
−0.558428 0.829553i \(-0.688595\pi\)
\(258\) 2.30248 38.6600i 0.143346 2.40686i
\(259\) 5.01616 5.97802i 0.311689 0.371456i
\(260\) 1.60317 5.08690i 0.0994243 0.315476i
\(261\) −7.45753 0.891463i −0.461609 0.0551802i
\(262\) −30.1706 + 8.08418i −1.86394 + 0.499442i
\(263\) 7.60797 + 3.54766i 0.469128 + 0.218758i 0.642782 0.766049i \(-0.277780\pi\)
−0.173655 + 0.984807i \(0.555558\pi\)
\(264\) −8.77607 + 3.47321i −0.540130 + 0.213761i
\(265\) 23.6046 + 3.10448i 1.45002 + 0.190707i
\(266\) −15.5574 + 42.7437i −0.953888 + 2.62079i
\(267\) 10.2296 3.04794i 0.626039 0.186531i
\(268\) 15.9565 + 22.7882i 0.974696 + 1.39201i
\(269\) 2.21545 0.135079 0.0675393 0.997717i \(-0.478485\pi\)
0.0675393 + 0.997717i \(0.478485\pi\)
\(270\) −26.1439 + 16.5162i −1.59107 + 1.00514i
\(271\) −5.87725 −0.357017 −0.178509 0.983938i \(-0.557127\pi\)
−0.178509 + 0.983938i \(0.557127\pi\)
\(272\) −31.2031 44.5627i −1.89197 2.70201i
\(273\) −0.579966 + 2.43287i −0.0351011 + 0.147244i
\(274\) 6.12031 16.8154i 0.369741 1.01586i
\(275\) 1.90490 + 2.71897i 0.114870 + 0.163960i
\(276\) −0.458394 0.363427i −0.0275920 0.0218757i
\(277\) 10.2541 + 4.78156i 0.616108 + 0.287296i 0.705510 0.708700i \(-0.250718\pi\)
−0.0894020 + 0.995996i \(0.528496\pi\)
\(278\) −3.90372 + 1.04600i −0.234130 + 0.0627348i
\(279\) −1.63162 + 5.39850i −0.0976826 + 0.323199i
\(280\) −50.0924 + 26.0847i −2.99359 + 1.55886i
\(281\) 13.9719 16.6511i 0.833496 0.993322i −0.166478 0.986045i \(-0.553239\pi\)
0.999974 0.00727642i \(-0.00231618\pi\)
\(282\) −15.7676 10.4001i −0.938950 0.619320i
\(283\) 10.7514 + 7.52820i 0.639103 + 0.447505i 0.847685 0.530500i \(-0.177996\pi\)
−0.208582 + 0.978005i \(0.566885\pi\)
\(284\) −5.43342 30.8145i −0.322414 1.82850i
\(285\) 17.4223 + 12.6121i 1.03201 + 0.747076i
\(286\) 0.635170 + 0.532971i 0.0375584 + 0.0315152i
\(287\) 4.91097 + 1.31589i 0.289885 + 0.0776745i
\(288\) −43.9617 1.39439i −2.59047 0.0821654i
\(289\) 4.07794 + 2.35440i 0.239879 + 0.138494i
\(290\) −6.87803 + 13.2168i −0.403892 + 0.776115i
\(291\) 14.6710 18.5046i 0.860029 1.08476i
\(292\) 71.3804 + 6.24497i 4.17722 + 0.365460i
\(293\) 1.80181 + 3.86399i 0.105263 + 0.225736i 0.951884 0.306460i \(-0.0991446\pi\)
−0.846621 + 0.532196i \(0.821367\pi\)
\(294\) 9.70336 5.96760i 0.565912 0.348037i
\(295\) −2.20648 + 9.95893i −0.128466 + 0.579831i
\(296\) 20.8108i 1.20960i
\(297\) −0.585751 3.40001i −0.0339887 0.197288i
\(298\) −40.0708 + 40.0708i −2.32124 + 2.32124i
\(299\) −0.00541301 + 0.0306987i −0.000313043 + 0.00177535i
\(300\) 8.85744 + 43.1251i 0.511384 + 2.48983i
\(301\) 24.2957 + 8.84290i 1.40038 + 0.509696i
\(302\) 1.84171 21.0508i 0.105978 1.21134i
\(303\) 1.26718 2.92711i 0.0727977 0.168158i
\(304\) 22.1768 + 60.9303i 1.27193 + 3.49459i
\(305\) 7.47200 11.7320i 0.427845 0.671775i
\(306\) 34.1980 14.6455i 1.95497 0.837225i
\(307\) −4.82189 + 17.9955i −0.275200 + 1.02706i 0.680508 + 0.732741i \(0.261759\pi\)
−0.955707 + 0.294318i \(0.904907\pi\)
\(308\) −0.905354 10.3482i −0.0515873 0.589646i
\(309\) −21.1570 + 18.7785i −1.20358 + 1.06827i
\(310\) 8.87677 + 6.80956i 0.504167 + 0.386757i
\(311\) −8.07539 + 1.42391i −0.457913 + 0.0807425i −0.397847 0.917452i \(-0.630242\pi\)
−0.0600667 + 0.998194i \(0.519131\pi\)
\(312\) 2.98555 + 5.96418i 0.169023 + 0.337655i
\(313\) −18.9940 + 1.66176i −1.07360 + 0.0939283i −0.610222 0.792230i \(-0.708920\pi\)
−0.463382 + 0.886158i \(0.653364\pi\)
\(314\) 18.1941 + 31.5131i 1.02675 + 1.77839i
\(315\) −5.58323 19.8753i −0.314579 1.11985i
\(316\) −13.7877 + 23.8811i −0.775621 + 1.34342i
\(317\) −7.17642 + 15.3899i −0.403068 + 0.864382i 0.595087 + 0.803661i \(0.297118\pi\)
−0.998155 + 0.0607206i \(0.980660\pi\)
\(318\) −39.4082 + 29.2582i −2.20990 + 1.64072i
\(319\) −1.06849 1.27338i −0.0598241 0.0712956i
\(320\) −13.4042 + 32.3724i −0.749315 + 1.80967i
\(321\) −25.6803 + 0.713566i −1.43333 + 0.0398274i
\(322\) 0.445761 0.312125i 0.0248413 0.0173941i
\(323\) −18.2962 18.2962i −1.01803 1.01803i
\(324\) 10.7843 44.4633i 0.599127 2.47019i
\(325\) 1.79675 1.50845i 0.0996659 0.0836738i
\(326\) −51.3243 9.04986i −2.84259 0.501225i
\(327\) −11.1278 + 11.7639i −0.615371 + 0.650546i
\(328\) 12.2881 5.73003i 0.678497 0.316388i
\(329\) 9.65980 8.10554i 0.532562 0.446873i
\(330\) −6.72069 1.29431i −0.369962 0.0712496i
\(331\) 13.3657 4.86470i 0.734643 0.267388i 0.0525142 0.998620i \(-0.483277\pi\)
0.682129 + 0.731232i \(0.261054\pi\)
\(332\) 7.46247 + 27.8503i 0.409556 + 1.52848i
\(333\) 7.44597 + 1.55781i 0.408037 + 0.0853676i
\(334\) 50.6458 29.2404i 2.77122 1.59996i
\(335\) 0.535338 + 12.2248i 0.0292486 + 0.667913i
\(336\) 19.6537 59.0526i 1.07220 3.22158i
\(337\) −3.90887 + 5.58245i −0.212930 + 0.304095i −0.911382 0.411561i \(-0.864984\pi\)
0.698452 + 0.715657i \(0.253872\pi\)
\(338\) −19.5094 + 27.8623i −1.06117 + 1.51551i
\(339\) 23.8902 + 26.9161i 1.29754 + 1.46188i
\(340\) −2.31710 52.9126i −0.125662 2.86959i
\(341\) −1.08097 + 0.624097i −0.0585377 + 0.0337968i
\(342\) −43.8897 + 6.31153i −2.37328 + 0.341288i
\(343\) −3.60734 13.4628i −0.194778 0.726922i
\(344\) 64.7910 23.5820i 3.49330 1.27146i
\(345\) −0.0841923 0.243145i −0.00453276 0.0130905i
\(346\) −7.65094 + 6.41990i −0.411317 + 0.345136i
\(347\) −12.4642 + 5.81216i −0.669114 + 0.312013i −0.727327 0.686291i \(-0.759238\pi\)
0.0582130 + 0.998304i \(0.481460\pi\)
\(348\) −6.29459 21.1260i −0.337425 1.13247i
\(349\) −26.3484 4.64594i −1.41040 0.248691i −0.583990 0.811761i \(-0.698509\pi\)
−0.826409 + 0.563070i \(0.809620\pi\)
\(350\) −40.7993 3.55879i −2.18081 0.190225i
\(351\) −2.35743 + 0.621756i −0.125830 + 0.0331869i
\(352\) −6.88345 6.88345i −0.366889 0.366889i
\(353\) −0.0387563 + 0.0271374i −0.00206279 + 0.00144438i −0.574607 0.818429i \(-0.694845\pi\)
0.572545 + 0.819874i \(0.305956\pi\)
\(354\) −11.0164 17.9127i −0.585513 0.952049i
\(355\) 5.26526 12.7161i 0.279451 0.674902i
\(356\) 20.1375 + 23.9989i 1.06729 + 1.27194i
\(357\) 2.85097 + 24.6717i 0.150889 + 1.30576i
\(358\) 16.2274 34.7997i 0.857644 1.83922i
\(359\) 9.42597 16.3263i 0.497484 0.861667i −0.502512 0.864570i \(-0.667591\pi\)
0.999996 + 0.00290290i \(0.000924023\pi\)
\(360\) −45.4754 31.0320i −2.39676 1.63553i
\(361\) 5.92010 + 10.2539i 0.311584 + 0.539680i
\(362\) 37.4571 3.27707i 1.96870 0.172239i
\(363\) −10.0700 + 15.2670i −0.528535 + 0.801312i
\(364\) −7.22909 + 1.27468i −0.378907 + 0.0668116i
\(365\) 25.0068 + 19.1832i 1.30891 + 1.00409i
\(366\) 5.76192 + 28.0907i 0.301180 + 1.46832i
\(367\) −1.72794 19.7504i −0.0901977 1.03096i −0.897555 0.440902i \(-0.854659\pi\)
0.807357 0.590063i \(-0.200897\pi\)
\(368\) 0.200768 0.749277i 0.0104658 0.0390588i
\(369\) 1.13033 + 4.82552i 0.0588427 + 0.251207i
\(370\) 8.10668 12.7286i 0.421446 0.661728i
\(371\) −11.2070 30.7909i −0.581836 1.59858i
\(372\) −16.4432 + 1.90011i −0.852538 + 0.0985160i
\(373\) 1.84840 21.1273i 0.0957063 1.09393i −0.784754 0.619808i \(-0.787211\pi\)
0.880460 0.474120i \(-0.157234\pi\)
\(374\) 7.73714 + 2.81609i 0.400078 + 0.145616i
\(375\) −6.90379 + 18.0925i −0.356510 + 0.934291i
\(376\) 5.83943 33.1170i 0.301145 1.70788i
\(377\) −0.830613 + 0.830613i −0.0427788 + 0.0427788i
\(378\) 36.7749 + 21.4250i 1.89150 + 1.10199i
\(379\) 4.95221i 0.254378i 0.991878 + 0.127189i \(0.0405955\pi\)
−0.991878 + 0.127189i \(0.959405\pi\)
\(380\) −13.6552 + 61.6325i −0.700497 + 3.16168i
\(381\) 11.5991 + 6.27381i 0.594241 + 0.321417i
\(382\) 2.90926 + 6.23894i 0.148851 + 0.319212i
\(383\) −28.1753 2.46502i −1.43969 0.125957i −0.659596 0.751620i \(-0.729273\pi\)
−0.780093 + 0.625663i \(0.784828\pi\)
\(384\) −7.89166 19.9406i −0.402720 1.01759i
\(385\) 2.10927 4.05316i 0.107498 0.206568i
\(386\) 32.8569 + 18.9699i 1.67237 + 0.965545i
\(387\) 3.58749 + 24.9470i 0.182362 + 1.26813i
\(388\) 66.9484 + 17.9388i 3.39879 + 0.910703i
\(389\) −22.5434 18.9162i −1.14300 0.959088i −0.143463 0.989656i \(-0.545824\pi\)
−0.999533 + 0.0305681i \(0.990268\pi\)
\(390\) −0.497234 + 4.81088i −0.0251784 + 0.243608i
\(391\) 0.0537524 + 0.304845i 0.00271838 + 0.0154167i
\(392\) 16.6129 + 11.6325i 0.839080 + 0.587530i
\(393\) 18.1768 9.09894i 0.916898 0.458981i
\(394\) −14.2783 + 17.0163i −0.719332 + 0.857267i
\(395\) −10.7581 + 5.60209i −0.541299 + 0.281872i
\(396\) 8.47479 5.54221i 0.425874 0.278507i
\(397\) 18.9334 5.07320i 0.950242 0.254616i 0.249777 0.968303i \(-0.419643\pi\)
0.700465 + 0.713687i \(0.252976\pi\)
\(398\) 9.11662 + 4.25115i 0.456975 + 0.213091i
\(399\) 4.32861 29.2837i 0.216702 1.46602i
\(400\) −47.8128 + 33.4974i −2.39064 + 1.67487i
\(401\) −0.0115561 + 0.0317502i −0.000577086 + 0.00158553i −0.939981 0.341227i \(-0.889157\pi\)
0.939404 + 0.342813i \(0.111380\pi\)
\(402\) −18.3266 17.3356i −0.914047 0.864624i
\(403\) 0.505922 + 0.722531i 0.0252018 + 0.0359918i
\(404\) 9.36163 0.465759
\(405\) 14.5071 13.9479i 0.720866 0.693075i
\(406\) 20.5061 1.01770
\(407\) 0.965702 + 1.37917i 0.0478681 + 0.0683627i
\(408\) 48.1156 + 45.5139i 2.38207 + 2.25327i
\(409\) −3.01485 + 8.28322i −0.149075 + 0.409579i −0.991643 0.129010i \(-0.958820\pi\)
0.842569 + 0.538589i \(0.181042\pi\)
\(410\) 9.74789 + 1.28205i 0.481414 + 0.0633157i
\(411\) −1.70288 + 11.5202i −0.0839967 + 0.568251i
\(412\) −75.2490 35.0892i −3.70725 1.72872i
\(413\) 13.5606 3.63355i 0.667272 0.178795i
\(414\) 0.473417 + 0.239314i 0.0232672 + 0.0117616i
\(415\) −3.81208 + 12.0959i −0.187128 + 0.593762i
\(416\) −4.42180 + 5.26969i −0.216796 + 0.258368i
\(417\) 2.35187 1.17730i 0.115171 0.0576525i
\(418\) −8.03896 5.62894i −0.393198 0.275320i
\(419\) 5.75122 + 32.6168i 0.280966 + 1.59344i 0.719350 + 0.694648i \(0.244440\pi\)
−0.438384 + 0.898788i \(0.644449\pi\)
\(420\) 47.0232 38.2134i 2.29450 1.86463i
\(421\) 12.7180 + 10.6716i 0.619835 + 0.520104i 0.897752 0.440502i \(-0.145199\pi\)
−0.277916 + 0.960605i \(0.589644\pi\)
\(422\) 45.7728 + 12.2648i 2.22819 + 0.597040i
\(423\) 11.4119 + 4.56831i 0.554867 + 0.222119i
\(424\) −75.6750 43.6910i −3.67510 2.12182i
\(425\) 11.6429 20.1783i 0.564765 0.978789i
\(426\) 10.4413 + 26.3829i 0.505882 + 1.27826i
\(427\) −19.0708 1.66848i −0.922901 0.0807433i
\(428\) −31.8660 68.3368i −1.54030 3.30318i
\(429\) −0.474618 0.256714i −0.0229148 0.0123943i
\(430\) 48.8145 + 10.8153i 2.35404 + 0.521558i
\(431\) 14.4385i 0.695480i 0.937591 + 0.347740i \(0.113051\pi\)
−0.937591 + 0.347740i \(0.886949\pi\)
\(432\) 59.7888 10.3004i 2.87659 0.495577i
\(433\) 16.4822 16.4822i 0.792085 0.792085i −0.189748 0.981833i \(-0.560767\pi\)
0.981833 + 0.189748i \(0.0607670\pi\)
\(434\) 2.67381 15.1640i 0.128347 0.727893i
\(435\) 2.65650 9.32517i 0.127370 0.447107i
\(436\) −44.6611 16.2553i −2.13888 0.778488i
\(437\) 0.0321562 0.367547i 0.00153824 0.0175821i
\(438\) −64.5461 + 7.45870i −3.08413 + 0.356390i
\(439\) 10.9388 + 30.0541i 0.522080 + 1.43440i 0.868201 + 0.496213i \(0.165277\pi\)
−0.346121 + 0.938190i \(0.612501\pi\)
\(440\) −2.63883 11.8957i −0.125801 0.567105i
\(441\) −5.40560 + 5.07323i −0.257410 + 0.241582i
\(442\) 1.50592 5.62015i 0.0716291 0.267323i
\(443\) −1.56526 17.8910i −0.0743677 0.850027i −0.938165 0.346188i \(-0.887476\pi\)
0.863798 0.503839i \(-0.168080\pi\)
\(444\) 4.48633 + 21.8719i 0.212912 + 1.03799i
\(445\) 1.80043 + 13.6619i 0.0853487 + 0.647638i
\(446\) 50.1811 8.84827i 2.37614 0.418978i
\(447\) 20.3055 30.7852i 0.960418 1.45609i
\(448\) 48.0392 4.20289i 2.26964 0.198568i
\(449\) 6.63475 + 11.4917i 0.313113 + 0.542328i 0.979035 0.203694i \(-0.0652947\pi\)
−0.665921 + 0.746022i \(0.731961\pi\)
\(450\) −15.7260 36.6948i −0.741331 1.72981i
\(451\) −0.548456 + 0.949953i −0.0258258 + 0.0447316i
\(452\) −44.6407 + 95.7323i −2.09972 + 4.50287i
\(453\) 1.57860 + 13.6609i 0.0741689 + 0.641843i
\(454\) −0.825948 0.984327i −0.0387637 0.0461968i
\(455\) −2.98321 1.23523i −0.139855 0.0579086i
\(456\) −41.3545 67.2427i −1.93660 3.14893i
\(457\) 6.59496 4.61784i 0.308499 0.216013i −0.409066 0.912505i \(-0.634145\pi\)
0.717565 + 0.696491i \(0.245257\pi\)
\(458\) 28.2789 + 28.2789i 1.32138 + 1.32138i
\(459\) −19.8863 + 13.8084i −0.928213 + 0.644522i
\(460\) 0.556732 0.510284i 0.0259578 0.0237921i
\(461\) −14.1578 2.49640i −0.659393 0.116269i −0.166068 0.986114i \(-0.553107\pi\)
−0.493324 + 0.869846i \(0.664218\pi\)
\(462\) 2.68979 + 9.02752i 0.125140 + 0.419998i
\(463\) 18.8558 8.79261i 0.876304 0.408627i 0.0682032 0.997671i \(-0.478273\pi\)
0.808101 + 0.589044i \(0.200496\pi\)
\(464\) 22.3922 18.7893i 1.03953 0.872272i
\(465\) −6.54944 3.18037i −0.303723 0.147486i
\(466\) 1.38417 0.503795i 0.0641202 0.0233378i
\(467\) −6.38314 23.8222i −0.295376 1.10236i −0.940918 0.338635i \(-0.890035\pi\)
0.645542 0.763725i \(-0.276632\pi\)
\(468\) −4.42351 5.62465i −0.204477 0.260000i
\(469\) 14.5849 8.42062i 0.673470 0.388828i
\(470\) 16.4720 17.9808i 0.759799 0.829391i
\(471\) −15.7196 17.7106i −0.724322 0.816063i
\(472\) 21.4739 30.6679i 0.988418 1.41161i
\(473\) −3.19951 + 4.56937i −0.147113 + 0.210100i
\(474\) 7.89648 23.7262i 0.362698 1.08978i
\(475\) −19.6291 + 19.6393i −0.900646 + 0.901114i
\(476\) −63.1279 + 36.4469i −2.89346 + 1.67054i
\(477\) 21.2970 23.8055i 0.975125 1.08998i
\(478\) −3.90246 14.5642i −0.178494 0.666150i
\(479\) −25.2593 + 9.19362i −1.15412 + 0.420067i −0.846995 0.531601i \(-0.821591\pi\)
−0.307130 + 0.951668i \(0.599368\pi\)
\(480\) 10.7383 55.7583i 0.490133 2.54501i
\(481\) 0.911414 0.764768i 0.0415569 0.0348704i
\(482\) −4.41687 + 2.05962i −0.201183 + 0.0938132i
\(483\) −0.243361 + 0.257271i −0.0110733 + 0.0117063i
\(484\) −52.8631 9.32118i −2.40287 0.423690i
\(485\) 20.5994 + 22.4744i 0.935369 + 1.02051i
\(486\) −1.47818 + 41.4624i −0.0670516 + 1.88077i
\(487\) 1.39406 + 1.39406i 0.0631711 + 0.0631711i 0.737987 0.674815i \(-0.235777\pi\)
−0.674815 + 0.737987i \(0.735777\pi\)
\(488\) −41.8191 + 29.2821i −1.89306 + 1.32554i
\(489\) 33.9029 0.942045i 1.53314 0.0426008i
\(490\) 5.62967 + 13.5862i 0.254323 + 0.613764i
\(491\) −15.2423 18.1651i −0.687875 0.819777i 0.303222 0.952920i \(-0.401938\pi\)
−0.991097 + 0.133143i \(0.957493\pi\)
\(492\) −11.6794 + 8.67121i −0.526546 + 0.390928i
\(493\) −4.92970 + 10.5718i −0.222023 + 0.476129i
\(494\) −3.46749 + 6.00587i −0.156010 + 0.270217i
\(495\) 4.45373 0.0536944i 0.200180 0.00241338i
\(496\) −10.9747 19.0087i −0.492778 0.853516i
\(497\) −18.8702 + 1.65093i −0.846444 + 0.0740542i
\(498\) −11.7036 23.3801i −0.524451 1.04769i
\(499\) −30.8900 + 5.44673i −1.38282 + 0.243829i −0.815067 0.579366i \(-0.803300\pi\)
−0.567758 + 0.823196i \(0.692189\pi\)
\(500\) −56.7814 + 2.50130i −2.53934 + 0.111862i
\(501\) −28.4634 + 25.2636i −1.27165 + 1.12869i
\(502\) 4.51248 + 51.5779i 0.201402 + 2.30204i
\(503\) −1.59547 + 5.95437i −0.0711385 + 0.265492i −0.992330 0.123617i \(-0.960551\pi\)
0.921192 + 0.389109i \(0.127217\pi\)
\(504\) −8.99365 + 75.2363i −0.400609 + 3.35129i
\(505\) 3.47320 + 2.21204i 0.154555 + 0.0984344i
\(506\) 0.0401548 + 0.110325i 0.00178510 + 0.00490452i
\(507\) 8.79397 20.3135i 0.390554 0.902156i
\(508\) −3.37332 + 38.5572i −0.149667 + 1.71070i
\(509\) −18.3832 6.69092i −0.814819 0.296570i −0.0992061 0.995067i \(-0.531630\pi\)
−0.715613 + 0.698497i \(0.753853\pi\)
\(510\) 11.6995 + 46.5808i 0.518063 + 2.06263i
\(511\) 7.53240 42.7184i 0.333214 1.88975i
\(512\) −14.4712 + 14.4712i −0.639545 + 0.639545i
\(513\) 27.1546 9.76284i 1.19890 0.431040i
\(514\) 79.6382i 3.51269i
\(515\) −19.6265 30.7986i −0.864847 1.35715i
\(516\) −63.0107 + 38.7518i −2.77389 + 1.70595i
\(517\) 1.14977 + 2.46569i 0.0505668 + 0.108441i
\(518\) −20.6907 1.81020i −0.909097 0.0795357i
\(519\) 4.03802 5.09319i 0.177250 0.223566i
\(520\) −8.21169 + 2.59031i −0.360106 + 0.113593i
\(521\) 1.02507 + 0.591824i 0.0449091 + 0.0259283i 0.522286 0.852770i \(-0.325079\pi\)
−0.477377 + 0.878698i \(0.658413\pi\)
\(522\) 9.44094 + 17.6196i 0.413219 + 0.771190i
\(523\) 43.1925 + 11.5734i 1.88868 + 0.506069i 0.998751 + 0.0499636i \(0.0159105\pi\)
0.889926 + 0.456106i \(0.150756\pi\)
\(524\) 45.7023 + 38.3488i 1.99652 + 1.67528i
\(525\) 26.4751 3.06633i 1.15547 0.133826i
\(526\) −3.87963 22.0025i −0.169160 0.959354i
\(527\) 7.17489 + 5.02391i 0.312543 + 0.218845i
\(528\) 11.2089 + 7.39328i 0.487806 + 0.321751i
\(529\) 14.7813 17.6156i 0.642664 0.765897i
\(530\) −29.2659 56.2014i −1.27123 2.44123i
\(531\) 9.36533 + 9.97890i 0.406421 + 0.433047i
\(532\) 83.9219 22.4868i 3.63848 0.974927i
\(533\) 0.702518 + 0.327589i 0.0304294 + 0.0141895i
\(534\) −22.2613 17.6493i −0.963339 0.763762i
\(535\) 4.32474 32.8827i 0.186975 1.42164i
\(536\) 15.3607 42.2032i 0.663482 1.82290i
\(537\) −5.79449 + 24.3070i −0.250051 + 1.04892i
\(538\) −3.38206 4.83008i −0.145811 0.208240i
\(539\) −1.64076 −0.0706724
\(540\) 54.4838 + 22.8108i 2.34461 + 0.981619i
\(541\) −0.781277 −0.0335897 −0.0167949 0.999859i \(-0.505346\pi\)
−0.0167949 + 0.999859i \(0.505346\pi\)
\(542\) 8.97207 + 12.8134i 0.385383 + 0.550384i
\(543\) −23.4506 + 6.98719i −1.00636 + 0.299849i
\(544\) −23.3637 + 64.1912i −1.00171 + 2.75218i
\(545\) −12.7285 16.5836i −0.545229 0.710365i
\(546\) 6.18944 2.44953i 0.264884 0.104830i
\(547\) −10.0522 4.68743i −0.429802 0.200420i 0.195665 0.980671i \(-0.437314\pi\)
−0.625467 + 0.780251i \(0.715091\pi\)
\(548\) −33.0149 + 8.84632i −1.41033 + 0.377896i
\(549\) −7.34652 17.1545i −0.313542 0.732137i
\(550\) 3.01987 8.30373i 0.128768 0.354072i
\(551\) 8.93677 10.6504i 0.380719 0.453724i
\(552\) −0.0561466 + 0.942732i −0.00238976 + 0.0401253i
\(553\) 13.6747 + 9.57510i 0.581505 + 0.407175i
\(554\) −5.22900 29.6551i −0.222159 1.25993i
\(555\) −3.50361 + 9.17461i −0.148720 + 0.389441i
\(556\) 5.91335 + 4.96189i 0.250782 + 0.210431i
\(557\) 13.0192 + 3.48849i 0.551642 + 0.147812i 0.523864 0.851802i \(-0.324490\pi\)
0.0277782 + 0.999614i \(0.491157\pi\)
\(558\) 14.2605 4.68399i 0.603694 0.198289i
\(559\) 3.41375 + 1.97093i 0.144386 + 0.0833615i
\(560\) 71.2743 + 37.0913i 3.01189 + 1.56739i
\(561\) −5.30071 0.783531i −0.223796 0.0330807i
\(562\) −57.6316 5.04211i −2.43104 0.212689i
\(563\) 15.8881 + 34.0720i 0.669601 + 1.43596i 0.887878 + 0.460078i \(0.152179\pi\)
−0.218277 + 0.975887i \(0.570044\pi\)
\(564\) 1.00210 + 36.0644i 0.0421962 + 1.51858i
\(565\) −39.1822 + 24.9690i −1.64841 + 1.05045i
\(566\) 34.9323i 1.46831i
\(567\) −26.2458 8.84975i −1.10222 0.371654i
\(568\) −35.7193 + 35.7193i −1.49875 + 1.49875i
\(569\) −2.09817 + 11.8993i −0.0879598 + 0.498845i 0.908719 + 0.417409i \(0.137062\pi\)
−0.996679 + 0.0814360i \(0.974049\pi\)
\(570\) 0.900067 57.2371i 0.0376996 2.39740i
\(571\) 0.672547 + 0.244787i 0.0281452 + 0.0102440i 0.356054 0.934465i \(-0.384122\pi\)
−0.327909 + 0.944709i \(0.606344\pi\)
\(572\) 0.138031 1.57770i 0.00577137 0.0659670i
\(573\) −2.67050 3.59693i −0.111562 0.150264i
\(574\) −4.62809 12.7156i −0.193173 0.530738i
\(575\) 0.327123 0.0577683i 0.0136420 0.00240910i
\(576\) 25.7284 + 39.3422i 1.07202 + 1.63926i
\(577\) 9.67417 36.1045i 0.402741 1.50305i −0.405443 0.914120i \(-0.632883\pi\)
0.808184 0.588930i \(-0.200451\pi\)
\(578\) −1.09228 12.4848i −0.0454328 0.519300i
\(579\) −23.4271 7.79694i −0.973596 0.324030i
\(580\) 28.2145 3.71824i 1.17154 0.154392i
\(581\) 17.1896 3.03100i 0.713146 0.125747i
\(582\) −62.7398 3.73662i −2.60065 0.154888i
\(583\) 7.04253 0.616142i 0.291672 0.0255180i
\(584\) −57.8388 100.180i −2.39339 4.14547i
\(585\) −0.312102 3.13199i −0.0129038 0.129492i
\(586\) 5.67358 9.82693i 0.234373 0.405947i
\(587\) 3.89170 8.34577i 0.160628 0.344467i −0.809478 0.587150i \(-0.800250\pi\)
0.970106 + 0.242683i \(0.0780276\pi\)
\(588\) −19.9677 8.64423i −0.823452 0.356482i
\(589\) −6.71056 7.99734i −0.276504 0.329525i
\(590\) 25.0806 10.3925i 1.03255 0.427854i
\(591\) 6.87740 12.7151i 0.282899 0.523028i
\(592\) −24.2525 + 16.9818i −0.996771 + 0.697946i
\(593\) −9.96484 9.96484i −0.409207 0.409207i 0.472255 0.881462i \(-0.343440\pi\)
−0.881462 + 0.472255i \(0.843440\pi\)
\(594\) −6.51843 + 6.46741i −0.267454 + 0.265361i
\(595\) −32.0326 1.39441i −1.31321 0.0571651i
\(596\) 106.595 + 18.7957i 4.36632 + 0.769900i
\(597\) −6.36780 1.51800i −0.260617 0.0621278i
\(598\) 0.0751920 0.0350626i 0.00307483 0.00143382i
\(599\) 5.73610 4.81316i 0.234371 0.196660i −0.518037 0.855358i \(-0.673337\pi\)
0.752407 + 0.658698i \(0.228893\pi\)
\(600\) 48.8289 51.6469i 1.99343 2.10848i
\(601\) −20.4882 + 7.45708i −0.835730 + 0.304181i −0.724208 0.689581i \(-0.757795\pi\)
−0.111522 + 0.993762i \(0.535572\pi\)
\(602\) −17.8101 66.4682i −0.725886 2.70904i
\(603\) 13.9502 + 8.65512i 0.568095 + 0.352464i
\(604\) −34.9543 + 20.1809i −1.42227 + 0.821148i
\(605\) −17.4099 15.9491i −0.707813 0.648422i
\(606\) −8.31607 + 1.70578i −0.337817 + 0.0692926i
\(607\) 13.1267 18.7469i 0.532796 0.760912i −0.459042 0.888415i \(-0.651807\pi\)
0.991838 + 0.127503i \(0.0406961\pi\)
\(608\) 46.7005 66.6953i 1.89396 2.70485i
\(609\) −13.0727 + 2.68146i −0.529734 + 0.108658i
\(610\) −36.9845 + 1.61959i −1.49746 + 0.0655754i
\(611\) 1.66496 0.961264i 0.0673570 0.0388886i
\(612\) −60.3805 37.4619i −2.44074 1.51431i
\(613\) 3.87633 + 14.4667i 0.156564 + 0.584303i 0.998966 + 0.0454549i \(0.0144737\pi\)
−0.842403 + 0.538848i \(0.818860\pi\)
\(614\) 46.5944 16.9590i 1.88040 0.684409i
\(615\) −6.38198 + 0.457364i −0.257346 + 0.0184427i
\(616\) −12.8467 + 10.7796i −0.517607 + 0.434324i
\(617\) −0.430054 + 0.200538i −0.0173133 + 0.00807334i −0.431256 0.902230i \(-0.641929\pi\)
0.413942 + 0.910303i \(0.364152\pi\)
\(618\) 73.2383 + 17.4591i 2.94608 + 0.702309i
\(619\) 10.1152 + 1.78359i 0.406565 + 0.0716885i 0.373191 0.927754i \(-0.378264\pi\)
0.0333743 + 0.999443i \(0.489375\pi\)
\(620\) 0.929342 21.3491i 0.0373233 0.857399i
\(621\) −0.333100 0.0906578i −0.0133668 0.00363797i
\(622\) 15.4321 + 15.4321i 0.618770 + 0.618770i
\(623\) 15.5357 10.8782i 0.622425 0.435827i
\(624\) 4.51429 8.34610i 0.180716 0.334111i
\(625\) −21.6571 12.4887i −0.866285 0.499550i
\(626\) 32.6187 + 38.8735i 1.30371 + 1.55370i
\(627\) 5.86095 + 2.53727i 0.234064 + 0.101329i
\(628\) 29.3733 62.9913i 1.17212 2.51363i
\(629\) 5.90732 10.2318i 0.235540 0.407968i
\(630\) −34.8085 + 42.5136i −1.38680 + 1.69378i
\(631\) −6.48152 11.2263i −0.258025 0.446913i 0.707688 0.706526i \(-0.249738\pi\)
−0.965713 + 0.259613i \(0.916405\pi\)
\(632\) 44.3488 3.88002i 1.76410 0.154339i
\(633\) −30.7842 1.83343i −1.22356 0.0728722i
\(634\) 44.5080 7.84797i 1.76764 0.311683i
\(635\) −10.3621 + 13.5078i −0.411208 + 0.536040i
\(636\) 88.9521 + 29.6048i 3.52718 + 1.17391i
\(637\) 0.101053 + 1.15504i 0.00400388 + 0.0457645i
\(638\) −1.14506 + 4.27341i −0.0453333 + 0.169186i
\(639\) −10.1063 15.4539i −0.399800 0.611347i
\(640\) 27.0288 5.99583i 1.06841 0.237006i
\(641\) 16.0051 + 43.9737i 0.632164 + 1.73686i 0.675045 + 0.737777i \(0.264124\pi\)
−0.0428806 + 0.999080i \(0.513653\pi\)
\(642\) 40.7586 + 54.8982i 1.60861 + 2.16666i
\(643\) −1.93250 + 22.0886i −0.0762103 + 0.871088i 0.857833 + 0.513928i \(0.171810\pi\)
−0.934043 + 0.357160i \(0.883745\pi\)
\(644\) −0.976716 0.355496i −0.0384880 0.0140085i
\(645\) −32.5338 0.511601i −1.28102 0.0201443i
\(646\) −11.9584 + 67.8196i −0.470498 + 2.66833i
\(647\) 23.9696 23.9696i 0.942341 0.942341i −0.0560849 0.998426i \(-0.517862\pi\)
0.998426 + 0.0560849i \(0.0178617\pi\)
\(648\) −68.7866 + 26.9109i −2.70219 + 1.05716i
\(649\) 3.02889i 0.118894i
\(650\) −6.03157 1.61448i −0.236578 0.0633249i
\(651\) 0.278331 + 10.0167i 0.0109086 + 0.392587i
\(652\) 42.0693 + 90.2178i 1.64756 + 3.53320i
\(653\) 9.67068 + 0.846075i 0.378443 + 0.0331095i 0.274791 0.961504i \(-0.411391\pi\)
0.103652 + 0.994614i \(0.466947\pi\)
\(654\) 42.6349 + 6.30213i 1.66716 + 0.246433i
\(655\) 7.89438 + 25.0264i 0.308459 + 0.977864i
\(656\) −16.7048 9.64453i −0.652214 0.376556i
\(657\) 40.1732 13.1953i 1.56731 0.514797i
\(658\) −32.4179 8.68636i −1.26378 0.338629i
\(659\) 15.9731 + 13.4030i 0.622224 + 0.522108i 0.898502 0.438970i \(-0.144657\pi\)
−0.276278 + 0.961078i \(0.589101\pi\)
\(660\) 5.33781 + 11.9333i 0.207774 + 0.464505i
\(661\) −6.68365 37.9049i −0.259964 1.47433i −0.783002 0.622020i \(-0.786312\pi\)
0.523038 0.852310i \(-0.324799\pi\)
\(662\) −31.0096 21.7132i −1.20522 0.843906i
\(663\) −0.225115 + 3.77980i −0.00874274 + 0.146795i
\(664\) 29.9205 35.6578i 1.16114 1.38379i
\(665\) 36.4487 + 11.4870i 1.41342 + 0.445447i
\(666\) −7.97054 18.6117i −0.308852 0.721187i
\(667\) −0.160660 + 0.0430488i −0.00622079 + 0.00166685i
\(668\) −101.236 47.2070i −3.91693 1.82649i
\(669\) −30.8337 + 12.2027i −1.19210 + 0.471784i
\(670\) 25.8350 19.8292i 0.998094 0.766070i
\(671\) 1.41262 3.88114i 0.0545335 0.149830i
\(672\) −74.8969 + 22.3158i −2.88921 + 0.860853i
\(673\) −11.8077 16.8631i −0.455153 0.650026i 0.524339 0.851510i \(-0.324313\pi\)
−0.979492 + 0.201484i \(0.935424\pi\)
\(674\) 18.1379 0.698646
\(675\) 14.8238 + 21.3367i 0.570568 + 0.821251i
\(676\) 64.9678 2.49876
\(677\) 13.0007 + 18.5670i 0.499659 + 0.713588i 0.987195 0.159515i \(-0.0509931\pi\)
−0.487536 + 0.873103i \(0.662104\pi\)
\(678\) 22.2116 93.1743i 0.853032 3.57834i
\(679\) 14.3508 39.4285i 0.550734 1.51313i
\(680\) −67.8286 + 52.0607i −2.60111 + 1.99644i
\(681\) 0.655262 + 0.519510i 0.0251097 + 0.0199077i
\(682\) 3.01082 + 1.40397i 0.115290 + 0.0537608i
\(683\) 7.91835 2.12172i 0.302987 0.0811852i −0.104122 0.994564i \(-0.533203\pi\)
0.407110 + 0.913379i \(0.366537\pi\)
\(684\) 57.9589 + 61.7561i 2.21611 + 2.36130i
\(685\) −14.3389 4.51900i −0.547862 0.172662i
\(686\) −23.8444 + 28.4166i −0.910382 + 1.08495i
\(687\) −21.7258 14.3301i −0.828891 0.546726i
\(688\) −80.3518 56.2630i −3.06338 2.14500i
\(689\) −0.867490 4.91978i −0.0330487 0.187429i
\(690\) −0.401574 + 0.554734i −0.0152877 + 0.0211184i
\(691\) 2.09562 + 1.75844i 0.0797212 + 0.0668941i 0.681777 0.731560i \(-0.261207\pi\)
−0.602056 + 0.798454i \(0.705652\pi\)
\(692\) 18.4268 + 4.93744i 0.700481 + 0.187693i
\(693\) −2.89523 5.40337i −0.109981 0.205257i
\(694\) 31.6991 + 18.3015i 1.20328 + 0.694715i
\(695\) 1.02144 + 3.23813i 0.0387455 + 0.122829i
\(696\) −22.1094 + 27.8867i −0.838054 + 1.05704i
\(697\) 7.66804 + 0.670867i 0.290448 + 0.0254109i
\(698\) 30.0939 + 64.5366i 1.13907 + 2.44275i
\(699\) −0.816535 + 0.502171i −0.0308842 + 0.0189939i
\(700\) 39.1299 + 67.7343i 1.47897 + 2.56011i
\(701\) 45.2015i 1.70724i 0.520899 + 0.853618i \(0.325597\pi\)
−0.520899 + 0.853618i \(0.674403\pi\)
\(702\) 4.95433 + 4.19045i 0.186989 + 0.158158i
\(703\) −9.95741 + 9.95741i −0.375551 + 0.375551i
\(704\) −1.80664 + 10.2459i −0.0680901 + 0.386158i
\(705\) −8.14978 + 13.6168i −0.306938 + 0.512838i
\(706\) 0.118329 + 0.0430682i 0.00445337 + 0.00162089i
\(707\) 0.493942 5.64579i 0.0185766 0.212332i
\(708\) −15.9575 + 36.8609i −0.599720 + 1.38532i
\(709\) 6.90171 + 18.9623i 0.259199 + 0.712144i 0.999217 + 0.0395569i \(0.0125946\pi\)
−0.740018 + 0.672587i \(0.765183\pi\)
\(710\) −35.7612 + 7.93295i −1.34210 + 0.297718i
\(711\) −1.93152 + 16.1581i −0.0724378 + 0.605978i
\(712\) 13.0903 48.8536i 0.490579 1.83086i
\(713\) 0.0108853 + 0.124419i 0.000407656 + 0.00465953i
\(714\) 49.4365 43.8788i 1.85011 1.64212i
\(715\) 0.424001 0.552718i 0.0158567 0.0206705i
\(716\) −72.2265 + 12.7355i −2.69923 + 0.475947i
\(717\) 4.39231 + 8.77444i 0.164034 + 0.327688i
\(718\) −49.9836 + 4.37300i −1.86537 + 0.163199i
\(719\) −18.2157 31.5505i −0.679331 1.17664i −0.975183 0.221402i \(-0.928937\pi\)
0.295852 0.955234i \(-0.404396\pi\)
\(720\) 0.944210 + 78.3184i 0.0351886 + 2.91875i
\(721\) −25.1318 + 43.5295i −0.935957 + 1.62113i
\(722\) 13.3179 28.5603i 0.495640 1.06290i
\(723\) 2.54646 1.89059i 0.0947037 0.0703118i
\(724\) −46.1638 55.0159i −1.71566 2.04465i
\(725\) 11.3463 + 5.28726i 0.421390 + 0.196364i
\(726\) 48.6574 1.35202i 1.80585 0.0501782i
\(727\) 10.9561 7.67153i 0.406338 0.284521i −0.352485 0.935817i \(-0.614663\pi\)
0.758824 + 0.651296i \(0.225774\pi\)
\(728\) 8.37976 + 8.37976i 0.310575 + 0.310575i
\(729\) −4.47945 26.6258i −0.165906 0.986142i
\(730\) 3.64805 83.8038i 0.135020 3.10172i
\(731\) 38.5489 + 6.79721i 1.42578 + 0.251404i
\(732\) 37.6388 39.7903i 1.39117 1.47069i
\(733\) −38.0568 + 17.7462i −1.40566 + 0.655470i −0.969656 0.244474i \(-0.921385\pi\)
−0.436005 + 0.899944i \(0.643607\pi\)
\(734\) −40.4216 + 33.9178i −1.49199 + 1.25193i
\(735\) −5.36554 7.92515i −0.197911 0.292323i
\(736\) −0.915308 + 0.333145i −0.0337387 + 0.0122799i
\(737\) 0.940413 + 3.50967i 0.0346406 + 0.129280i
\(738\) 8.79496 9.83085i 0.323747 0.361879i
\(739\) −34.0711 + 19.6709i −1.25332 + 0.723607i −0.971768 0.235938i \(-0.924184\pi\)
−0.281556 + 0.959545i \(0.590850\pi\)
\(740\) −28.7968 + 1.26104i −1.05859 + 0.0463569i
\(741\) 1.42519 4.28220i 0.0523557 0.157310i
\(742\) −50.0213 + 71.4378i −1.83634 + 2.62256i
\(743\) 7.43173 10.6136i 0.272644 0.389376i −0.659358 0.751829i \(-0.729172\pi\)
0.932002 + 0.362453i \(0.118061\pi\)
\(744\) 17.7390 + 19.9858i 0.650342 + 0.732714i
\(745\) 35.1061 + 32.1604i 1.28619 + 1.17827i
\(746\) −48.8829 + 28.2225i −1.78973 + 1.03330i
\(747\) 10.5184 + 13.3745i 0.384848 + 0.489349i
\(748\) −4.07039 15.1909i −0.148828 0.555434i
\(749\) −42.8937 + 15.6120i −1.56730 + 0.570451i
\(750\) 49.9840 12.5681i 1.82516 0.458921i
\(751\) 30.6700 25.7352i 1.11916 0.939089i 0.120601 0.992701i \(-0.461518\pi\)
0.998562 + 0.0536119i \(0.0170734\pi\)
\(752\) −43.3589 + 20.2186i −1.58114 + 0.737296i
\(753\) −9.62128 32.2912i −0.350619 1.17676i
\(754\) 3.07888 + 0.542889i 0.112126 + 0.0197709i
\(755\) −17.7367 0.772091i −0.645503 0.0280993i
\(756\) −6.76700 81.0112i −0.246113 2.94635i
\(757\) 0.846964 + 0.846964i 0.0307834 + 0.0307834i 0.722331 0.691548i \(-0.243071\pi\)
−0.691548 + 0.722331i \(0.743071\pi\)
\(758\) 10.7967 7.55993i 0.392154 0.274589i
\(759\) −0.0400255 0.0650817i −0.00145283 0.00236232i
\(760\) 94.1504 39.0127i 3.41519 1.41514i
\(761\) −3.25980 3.88488i −0.118168 0.140827i 0.703718 0.710480i \(-0.251522\pi\)
−0.821885 + 0.569653i \(0.807078\pi\)
\(762\) −4.02893 34.8656i −0.145953 1.26305i
\(763\) −12.1596 + 26.0764i −0.440208 + 0.944029i
\(764\) 6.57430 11.3870i 0.237850 0.411968i
\(765\) −13.5496 28.1657i −0.489887 1.01833i
\(766\) 37.6375 + 65.1901i 1.35990 + 2.35542i
\(767\) 2.13224 0.186547i 0.0769909 0.00673583i
\(768\) −1.53991 + 2.33465i −0.0555666 + 0.0842444i
\(769\) −26.0795 + 4.59852i −0.940451 + 0.165827i −0.622800 0.782381i \(-0.714005\pi\)
−0.317651 + 0.948208i \(0.602894\pi\)
\(770\) −12.0566 + 1.58887i −0.434488 + 0.0572589i
\(771\) −10.4138 50.7698i