Properties

Label 225.2.q.a.106.2
Level $225$
Weight $2$
Character 225.106
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 106.2
Character \(\chi\) \(=\) 225.106
Dual form 225.2.q.a.121.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.47708 - 0.526519i) q^{2} +(-1.29428 + 1.15102i) q^{3} +(4.03160 + 1.79498i) q^{4} +(1.67112 - 1.48572i) q^{5} +(3.81206 - 2.16971i) q^{6} +(-1.03406 + 1.79105i) q^{7} +(-4.94396 - 3.59200i) q^{8} +(0.350302 - 2.97948i) q^{9} +O(q^{10})\) \(q+(-2.47708 - 0.526519i) q^{2} +(-1.29428 + 1.15102i) q^{3} +(4.03160 + 1.79498i) q^{4} +(1.67112 - 1.48572i) q^{5} +(3.81206 - 2.16971i) q^{6} +(-1.03406 + 1.79105i) q^{7} +(-4.94396 - 3.59200i) q^{8} +(0.350302 - 2.97948i) q^{9} +(-4.92175 + 2.80036i) q^{10} +(-2.39587 - 0.509257i) q^{11} +(-7.28407 + 2.31725i) q^{12} +(1.74601 - 0.371125i) q^{13} +(3.50448 - 3.89212i) q^{14} +(-0.452799 + 3.84642i) q^{15} +(4.44939 + 4.94155i) q^{16} +(3.67466 + 2.66979i) q^{17} +(-2.43648 + 7.19596i) q^{18} +(5.85004 + 4.25031i) q^{19} +(9.40413 - 2.99019i) q^{20} +(-0.723173 - 3.50834i) q^{21} +(5.66661 + 2.52294i) q^{22} +(1.58401 - 1.75922i) q^{23} +(10.5333 - 1.04156i) q^{24} +(0.585285 - 4.96563i) q^{25} -4.52040 q^{26} +(2.97605 + 4.25947i) q^{27} +(-7.38384 + 5.36467i) q^{28} +(0.855066 + 8.13541i) q^{29} +(3.14683 - 9.28948i) q^{30} +(-0.709441 + 6.74988i) q^{31} +(-2.30859 - 3.99860i) q^{32} +(3.68708 - 2.09857i) q^{33} +(-7.69671 - 8.54806i) q^{34} +(0.932951 + 4.52939i) q^{35} +(6.76040 - 11.3833i) q^{36} +(1.53985 - 4.73917i) q^{37} +(-12.2531 - 13.6085i) q^{38} +(-1.83264 + 2.49003i) q^{39} +(-13.5986 + 1.34267i) q^{40} +(4.68289 - 0.995378i) q^{41} +(-0.0558547 + 9.07120i) q^{42} +(4.14034 - 7.17127i) q^{43} +(-8.74507 - 6.35367i) q^{44} +(-3.84127 - 5.49952i) q^{45} +(-4.84997 + 3.52371i) q^{46} +(1.05889 + 10.0746i) q^{47} +(-11.4466 - 1.27439i) q^{48} +(1.36143 + 2.35806i) q^{49} +(-4.06429 + 11.9921i) q^{50} +(-7.82901 + 0.774155i) q^{51} +(7.70536 + 1.63783i) q^{52} +(-2.52356 + 1.83348i) q^{53} +(-5.12922 - 12.1180i) q^{54} +(-4.76039 + 2.70855i) q^{55} +(11.5458 - 5.14053i) q^{56} +(-12.4638 + 1.23245i) q^{57} +(2.16538 - 20.6023i) q^{58} +(-10.2183 + 2.17198i) q^{59} +(-8.72978 + 14.6945i) q^{60} +(2.57932 + 0.548251i) q^{61} +(5.31128 - 16.3465i) q^{62} +(4.97416 + 3.70838i) q^{63} +(-0.496397 - 1.52775i) q^{64} +(2.36640 - 3.21427i) q^{65} +(-10.2381 + 3.25701i) q^{66} +(0.170417 - 1.62141i) q^{67} +(10.0225 + 17.3595i) q^{68} +(-0.0252460 + 4.10014i) q^{69} +(0.0738159 - 11.7109i) q^{70} +(8.24169 - 5.98794i) q^{71} +(-12.4342 + 13.4721i) q^{72} +(-0.608028 - 1.87132i) q^{73} +(-6.30959 + 10.9285i) q^{74} +(4.95802 + 7.10057i) q^{75} +(15.9558 + 27.6363i) q^{76} +(3.38958 - 3.76451i) q^{77} +(5.85064 - 5.20307i) q^{78} +(-1.55944 - 14.8370i) q^{79} +(14.7772 + 1.64738i) q^{80} +(-8.75458 - 2.08743i) q^{81} -12.1240 q^{82} +(3.70931 - 1.65149i) q^{83} +(3.38188 - 15.4423i) q^{84} +(10.1074 - 0.997956i) q^{85} +(-14.0318 + 15.5838i) q^{86} +(-10.4707 - 9.54527i) q^{87} +(10.0158 + 11.1237i) q^{88} +(0.105993 + 0.326212i) q^{89} +(6.61952 + 15.6452i) q^{90} +(-1.14078 + 3.51095i) q^{91} +(9.54385 - 4.24919i) q^{92} +(-6.85104 - 9.55279i) q^{93} +(2.68154 - 25.5132i) q^{94} +(16.0909 - 1.58874i) q^{95} +(7.59043 + 2.51805i) q^{96} +(1.15152 + 10.9560i) q^{97} +(-2.13079 - 6.55791i) q^{98} +(-2.35660 + 6.96004i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.47708 0.526519i −1.75156 0.372305i −0.783181 0.621794i \(-0.786404\pi\)
−0.968378 + 0.249489i \(0.919737\pi\)
\(3\) −1.29428 + 1.15102i −0.747251 + 0.664542i
\(4\) 4.03160 + 1.79498i 2.01580 + 0.897492i
\(5\) 1.67112 1.48572i 0.747348 0.664433i
\(6\) 3.81206 2.16971i 1.55627 0.885779i
\(7\) −1.03406 + 1.79105i −0.390839 + 0.676953i −0.992560 0.121753i \(-0.961148\pi\)
0.601721 + 0.798706i \(0.294482\pi\)
\(8\) −4.94396 3.59200i −1.74795 1.26996i
\(9\) 0.350302 2.97948i 0.116767 0.993159i
\(10\) −4.92175 + 2.80036i −1.55640 + 0.885552i
\(11\) −2.39587 0.509257i −0.722381 0.153547i −0.167973 0.985792i \(-0.553722\pi\)
−0.554408 + 0.832245i \(0.687055\pi\)
\(12\) −7.28407 + 2.31725i −2.10273 + 0.668933i
\(13\) 1.74601 0.371125i 0.484255 0.102932i 0.0406862 0.999172i \(-0.487046\pi\)
0.443569 + 0.896240i \(0.353712\pi\)
\(14\) 3.50448 3.89212i 0.936611 1.04021i
\(15\) −0.452799 + 3.84642i −0.116912 + 0.993142i
\(16\) 4.44939 + 4.94155i 1.11235 + 1.23539i
\(17\) 3.67466 + 2.66979i 0.891235 + 0.647520i 0.936200 0.351469i \(-0.114318\pi\)
−0.0449649 + 0.998989i \(0.514318\pi\)
\(18\) −2.43648 + 7.19596i −0.574283 + 1.69610i
\(19\) 5.85004 + 4.25031i 1.34209 + 0.975087i 0.999364 + 0.0356524i \(0.0113509\pi\)
0.342728 + 0.939435i \(0.388649\pi\)
\(20\) 9.40413 2.99019i 2.10283 0.668626i
\(21\) −0.723173 3.50834i −0.157809 0.765583i
\(22\) 5.66661 + 2.52294i 1.20813 + 0.537892i
\(23\) 1.58401 1.75922i 0.330288 0.366822i −0.555012 0.831842i \(-0.687286\pi\)
0.885300 + 0.465020i \(0.153953\pi\)
\(24\) 10.5333 1.04156i 2.15010 0.212608i
\(25\) 0.585285 4.96563i 0.117057 0.993125i
\(26\) −4.52040 −0.886523
\(27\) 2.97605 + 4.25947i 0.572742 + 0.819736i
\(28\) −7.38384 + 5.36467i −1.39541 + 1.01383i
\(29\) 0.855066 + 8.13541i 0.158782 + 1.51071i 0.726318 + 0.687359i \(0.241230\pi\)
−0.567536 + 0.823349i \(0.692103\pi\)
\(30\) 3.14683 9.28948i 0.574531 1.69602i
\(31\) −0.709441 + 6.74988i −0.127419 + 1.21231i 0.724736 + 0.689026i \(0.241962\pi\)
−0.852156 + 0.523288i \(0.824705\pi\)
\(32\) −2.30859 3.99860i −0.408105 0.706859i
\(33\) 3.68708 2.09857i 0.641838 0.365315i
\(34\) −7.69671 8.54806i −1.31997 1.46598i
\(35\) 0.932951 + 4.52939i 0.157698 + 0.765606i
\(36\) 6.76040 11.3833i 1.12673 1.89721i
\(37\) 1.53985 4.73917i 0.253150 0.779115i −0.741039 0.671462i \(-0.765667\pi\)
0.994189 0.107653i \(-0.0343334\pi\)
\(38\) −12.2531 13.6085i −1.98772 2.20759i
\(39\) −1.83264 + 2.49003i −0.293457 + 0.398723i
\(40\) −13.5986 + 1.34267i −2.15013 + 0.212295i
\(41\) 4.68289 0.995378i 0.731344 0.155452i 0.172835 0.984951i \(-0.444707\pi\)
0.558508 + 0.829499i \(0.311374\pi\)
\(42\) −0.0558547 + 9.07120i −0.00861857 + 1.39972i
\(43\) 4.14034 7.17127i 0.631395 1.09361i −0.355871 0.934535i \(-0.615816\pi\)
0.987267 0.159074i \(-0.0508508\pi\)
\(44\) −8.74507 6.35367i −1.31837 0.957851i
\(45\) −3.84127 5.49952i −0.572622 0.819819i
\(46\) −4.84997 + 3.52371i −0.715088 + 0.519542i
\(47\) 1.05889 + 10.0746i 0.154455 + 1.46954i 0.747443 + 0.664326i \(0.231281\pi\)
−0.592988 + 0.805211i \(0.702052\pi\)
\(48\) −11.4466 1.27439i −1.65217 0.183942i
\(49\) 1.36143 + 2.35806i 0.194489 + 0.336866i
\(50\) −4.06429 + 11.9921i −0.574778 + 1.69594i
\(51\) −7.82901 + 0.774155i −1.09628 + 0.108403i
\(52\) 7.70536 + 1.63783i 1.06854 + 0.227125i
\(53\) −2.52356 + 1.83348i −0.346638 + 0.251847i −0.747457 0.664310i \(-0.768726\pi\)
0.400819 + 0.916157i \(0.368726\pi\)
\(54\) −5.12922 12.1180i −0.697999 1.64905i
\(55\) −4.76039 + 2.70855i −0.641891 + 0.365221i
\(56\) 11.5458 5.14053i 1.54287 0.686932i
\(57\) −12.4638 + 1.23245i −1.65087 + 0.163242i
\(58\) 2.16538 20.6023i 0.284329 2.70521i
\(59\) −10.2183 + 2.17198i −1.33032 + 0.282767i −0.817598 0.575790i \(-0.804695\pi\)
−0.512718 + 0.858557i \(0.671361\pi\)
\(60\) −8.72978 + 14.6945i −1.12701 + 1.89705i
\(61\) 2.57932 + 0.548251i 0.330248 + 0.0701964i 0.370052 0.929011i \(-0.379340\pi\)
−0.0398037 + 0.999208i \(0.512673\pi\)
\(62\) 5.31128 16.3465i 0.674534 2.07600i
\(63\) 4.97416 + 3.70838i 0.626685 + 0.467212i
\(64\) −0.496397 1.52775i −0.0620496 0.190969i
\(65\) 2.36640 3.21427i 0.293516 0.398681i
\(66\) −10.2381 + 3.25701i −1.26023 + 0.400910i
\(67\) 0.170417 1.62141i 0.0208197 0.198086i −0.979168 0.203052i \(-0.934914\pi\)
0.999988 + 0.00496571i \(0.00158064\pi\)
\(68\) 10.0225 + 17.3595i 1.21541 + 2.10515i
\(69\) −0.0252460 + 4.10014i −0.00303927 + 0.493598i
\(70\) 0.0738159 11.7109i 0.00882269 1.39972i
\(71\) 8.24169 5.98794i 0.978109 0.710638i 0.0208238 0.999783i \(-0.493371\pi\)
0.957285 + 0.289145i \(0.0933711\pi\)
\(72\) −12.4342 + 13.4721i −1.46538 + 1.58771i
\(73\) −0.608028 1.87132i −0.0711643 0.219021i 0.909148 0.416472i \(-0.136734\pi\)
−0.980313 + 0.197451i \(0.936734\pi\)
\(74\) −6.30959 + 10.9285i −0.733475 + 1.27042i
\(75\) 4.95802 + 7.10057i 0.572503 + 0.819903i
\(76\) 15.9558 + 27.6363i 1.83026 + 3.17010i
\(77\) 3.38958 3.76451i 0.386279 0.429006i
\(78\) 5.85064 5.20307i 0.662455 0.589132i
\(79\) −1.55944 14.8370i −0.175450 1.66930i −0.628499 0.777811i \(-0.716330\pi\)
0.453048 0.891486i \(-0.350336\pi\)
\(80\) 14.7772 + 1.64738i 1.65214 + 0.184183i
\(81\) −8.75458 2.08743i −0.972731 0.231937i
\(82\) −12.1240 −1.33887
\(83\) 3.70931 1.65149i 0.407150 0.181275i −0.192934 0.981212i \(-0.561800\pi\)
0.600084 + 0.799937i \(0.295134\pi\)
\(84\) 3.38188 15.4423i 0.368993 1.68490i
\(85\) 10.1074 0.997956i 1.09630 0.108243i
\(86\) −14.0318 + 15.5838i −1.51308 + 1.68045i
\(87\) −10.4707 9.54527i −1.12258 1.02336i
\(88\) 10.0158 + 11.1237i 1.06769 + 1.18579i
\(89\) 0.105993 + 0.326212i 0.0112352 + 0.0345784i 0.956517 0.291677i \(-0.0942131\pi\)
−0.945282 + 0.326255i \(0.894213\pi\)
\(90\) 6.61952 + 15.6452i 0.697758 + 1.64915i
\(91\) −1.14078 + 3.51095i −0.119586 + 0.368048i
\(92\) 9.54385 4.24919i 0.995015 0.443009i
\(93\) −6.85104 9.55279i −0.710420 0.990579i
\(94\) 2.68154 25.5132i 0.276580 2.63148i
\(95\) 16.0909 1.58874i 1.65089 0.163002i
\(96\) 7.59043 + 2.51805i 0.774695 + 0.256998i
\(97\) 1.15152 + 10.9560i 0.116920 + 1.11242i 0.882903 + 0.469555i \(0.155586\pi\)
−0.765983 + 0.642860i \(0.777748\pi\)
\(98\) −2.13079 6.55791i −0.215243 0.662449i
\(99\) −2.35660 + 6.96004i −0.236847 + 0.699510i
\(100\) 11.2729 18.9688i 1.12729 1.89688i
\(101\) 6.38861 11.0654i 0.635691 1.10105i −0.350677 0.936496i \(-0.614049\pi\)
0.986368 0.164553i \(-0.0526180\pi\)
\(102\) 19.8007 + 2.20448i 1.96056 + 0.218276i
\(103\) −8.38725 3.73425i −0.826421 0.367946i −0.0504589 0.998726i \(-0.516068\pi\)
−0.775962 + 0.630780i \(0.782735\pi\)
\(104\) −9.96526 4.43682i −0.977174 0.435066i
\(105\) −6.42092 4.78843i −0.626617 0.467303i
\(106\) 7.21643 3.21296i 0.700921 0.312070i
\(107\) 0.980681 0.0948061 0.0474030 0.998876i \(-0.484905\pi\)
0.0474030 + 0.998876i \(0.484905\pi\)
\(108\) 4.35257 + 22.5145i 0.418827 + 2.16646i
\(109\) −2.74384 + 8.44467i −0.262812 + 0.808853i 0.729377 + 0.684112i \(0.239810\pi\)
−0.992189 + 0.124741i \(0.960190\pi\)
\(110\) 13.2180 4.20286i 1.26028 0.400727i
\(111\) 3.46189 + 7.90619i 0.328588 + 0.750423i
\(112\) −13.4515 + 2.85921i −1.27105 + 0.270170i
\(113\) −6.63465 + 1.41024i −0.624135 + 0.132664i −0.509114 0.860699i \(-0.670027\pi\)
−0.115021 + 0.993363i \(0.536694\pi\)
\(114\) 31.5226 + 3.50953i 2.95236 + 0.328698i
\(115\) 0.0333644 5.29325i 0.00311125 0.493598i
\(116\) −11.1557 + 34.3336i −1.03578 + 3.18779i
\(117\) −0.494129 5.33219i −0.0456823 0.492961i
\(118\) 26.4552 2.43540
\(119\) −8.58156 + 3.82076i −0.786670 + 0.350248i
\(120\) 16.0550 17.3901i 1.46561 1.58749i
\(121\) −4.56817 2.03388i −0.415288 0.184898i
\(122\) −6.10051 2.71612i −0.552314 0.245906i
\(123\) −4.91525 + 6.67839i −0.443193 + 0.602170i
\(124\) −14.9761 + 25.9394i −1.34490 + 2.32943i
\(125\) −6.39944 9.16773i −0.572383 0.819986i
\(126\) −10.3689 11.8049i −0.923731 1.05167i
\(127\) 3.08193 + 9.48521i 0.273477 + 0.841676i 0.989618 + 0.143721i \(0.0459067\pi\)
−0.716141 + 0.697955i \(0.754093\pi\)
\(128\) 1.39048 + 13.2295i 0.122902 + 1.16933i
\(129\) 2.89555 + 14.0472i 0.254939 + 1.23679i
\(130\) −7.55412 + 6.71603i −0.662541 + 0.589035i
\(131\) 1.43811 13.6827i 0.125648 1.19546i −0.732029 0.681274i \(-0.761426\pi\)
0.857677 0.514189i \(-0.171907\pi\)
\(132\) 18.6317 1.84236i 1.62168 0.160357i
\(133\) −13.6618 + 6.08264i −1.18463 + 0.527432i
\(134\) −1.27584 + 3.92662i −0.110215 + 0.339208i
\(135\) 11.3017 + 2.69651i 0.972697 + 0.232079i
\(136\) −8.57746 26.3987i −0.735511 2.26367i
\(137\) −5.70711 6.33838i −0.487591 0.541525i 0.448268 0.893899i \(-0.352041\pi\)
−0.935859 + 0.352374i \(0.885374\pi\)
\(138\) 2.22134 10.1431i 0.189093 0.863435i
\(139\) −6.24293 + 6.93348i −0.529518 + 0.588090i −0.947256 0.320478i \(-0.896157\pi\)
0.417738 + 0.908568i \(0.362823\pi\)
\(140\) −4.36889 + 19.9353i −0.369239 + 1.68484i
\(141\) −12.9666 11.8206i −1.09199 0.995471i
\(142\) −23.5681 + 10.4932i −1.97779 + 0.880569i
\(143\) −4.37219 −0.365621
\(144\) 16.2819 11.5258i 1.35682 0.960485i
\(145\) 13.5158 + 12.3249i 1.12243 + 1.02352i
\(146\) 0.520848 + 4.95554i 0.0431057 + 0.410123i
\(147\) −4.47624 1.48495i −0.369194 0.122477i
\(148\) 14.7148 16.3424i 1.20955 1.34334i
\(149\) −3.47298 6.01538i −0.284518 0.492799i 0.687974 0.725735i \(-0.258500\pi\)
−0.972492 + 0.232936i \(0.925167\pi\)
\(150\) −8.54281 20.1991i −0.697518 1.64925i
\(151\) 0.394205 0.682783i 0.0320800 0.0555641i −0.849540 0.527525i \(-0.823120\pi\)
0.881620 + 0.471961i \(0.156454\pi\)
\(152\) −13.6553 42.0267i −1.10759 3.40881i
\(153\) 9.24183 10.0133i 0.747158 0.809529i
\(154\) −10.3783 + 7.54031i −0.836311 + 0.607616i
\(155\) 8.84286 + 12.3339i 0.710276 + 0.990682i
\(156\) −11.8580 + 6.74923i −0.949403 + 0.540371i
\(157\) −1.94393 3.36698i −0.155142 0.268714i 0.777969 0.628303i \(-0.216250\pi\)
−0.933111 + 0.359589i \(0.882917\pi\)
\(158\) −3.94914 + 37.5736i −0.314177 + 2.98919i
\(159\) 1.15582 5.27770i 0.0916625 0.418549i
\(160\) −9.79873 3.25222i −0.774657 0.257111i
\(161\) 1.51288 + 4.65617i 0.119232 + 0.366958i
\(162\) 20.5867 + 9.78019i 1.61744 + 0.768404i
\(163\) 2.59370 7.98258i 0.203154 0.625244i −0.796630 0.604467i \(-0.793386\pi\)
0.999784 0.0207767i \(-0.00661392\pi\)
\(164\) 20.6662 + 4.39274i 1.61376 + 0.343015i
\(165\) 3.04366 8.98493i 0.236949 0.699475i
\(166\) −10.0578 + 2.13785i −0.780637 + 0.165929i
\(167\) −1.12972 + 10.7486i −0.0874207 + 0.831753i 0.859684 + 0.510827i \(0.170661\pi\)
−0.947104 + 0.320926i \(0.896006\pi\)
\(168\) −9.02662 + 19.9427i −0.696419 + 1.53862i
\(169\) −8.96529 + 3.99160i −0.689638 + 0.307046i
\(170\) −25.5621 2.84970i −1.96053 0.218562i
\(171\) 14.7130 15.9412i 1.12513 1.21905i
\(172\) 29.5645 21.4799i 2.25427 1.63783i
\(173\) 16.1013 + 3.42244i 1.22416 + 0.260203i 0.774255 0.632874i \(-0.218125\pi\)
0.449904 + 0.893077i \(0.351458\pi\)
\(174\) 20.9110 + 29.1574i 1.58526 + 2.21042i
\(175\) 8.28846 + 6.18305i 0.626549 + 0.467394i
\(176\) −8.14362 14.1052i −0.613849 1.06322i
\(177\) 10.7254 14.5727i 0.806168 1.09535i
\(178\) −0.0907954 0.863860i −0.00680540 0.0647491i
\(179\) −0.422707 + 0.307115i −0.0315946 + 0.0229548i −0.603471 0.797385i \(-0.706216\pi\)
0.571876 + 0.820340i \(0.306216\pi\)
\(180\) −5.61491 29.0669i −0.418511 2.16652i
\(181\) −18.6716 13.5657i −1.38785 1.00833i −0.996097 0.0882646i \(-0.971868\pi\)
−0.391756 0.920069i \(-0.628132\pi\)
\(182\) 4.67438 8.09626i 0.346488 0.600134i
\(183\) −3.96940 + 2.25926i −0.293427 + 0.167009i
\(184\) −14.1504 + 3.00775i −1.04318 + 0.221734i
\(185\) −4.46780 10.2075i −0.328479 0.750471i
\(186\) 11.9408 + 27.2702i 0.875545 + 1.99955i
\(187\) −7.44437 8.26781i −0.544386 0.604602i
\(188\) −13.8148 + 42.5176i −1.00755 + 3.10092i
\(189\) −10.7064 + 0.925697i −0.778773 + 0.0673346i
\(190\) −40.6949 4.53672i −2.95232 0.329128i
\(191\) −0.671770 0.746076i −0.0486076 0.0539842i 0.718351 0.695681i \(-0.244897\pi\)
−0.766958 + 0.641697i \(0.778231\pi\)
\(192\) 2.40095 + 1.40597i 0.173274 + 0.101467i
\(193\) 6.92614 + 11.9964i 0.498554 + 0.863521i 0.999999 0.00166856i \(-0.000531120\pi\)
−0.501444 + 0.865190i \(0.667198\pi\)
\(194\) 2.91614 27.7452i 0.209367 1.99199i
\(195\) 0.636914 + 6.88392i 0.0456104 + 0.492968i
\(196\) 1.25605 + 11.9505i 0.0897177 + 0.853607i
\(197\) 6.40803 4.65571i 0.456553 0.331705i −0.335624 0.941996i \(-0.608947\pi\)
0.792178 + 0.610291i \(0.208947\pi\)
\(198\) 9.50207 15.9998i 0.675283 1.13705i
\(199\) 14.6161 1.03611 0.518053 0.855348i \(-0.326657\pi\)
0.518053 + 0.855348i \(0.326657\pi\)
\(200\) −20.7301 + 22.4475i −1.46584 + 1.58728i
\(201\) 1.64571 + 2.29470i 0.116079 + 0.161856i
\(202\) −21.6512 + 24.0461i −1.52338 + 1.69188i
\(203\) −15.4551 6.88107i −1.08474 0.482956i
\(204\) −32.9530 10.9319i −2.30717 0.765384i
\(205\) 6.34681 8.62084i 0.443281 0.602106i
\(206\) 18.8097 + 13.6661i 1.31054 + 0.952160i
\(207\) −4.68667 5.33577i −0.325746 0.370861i
\(208\) 9.60259 + 6.97669i 0.665820 + 0.483746i
\(209\) −11.8514 13.1623i −0.819780 0.910458i
\(210\) 13.3839 + 15.2421i 0.923577 + 1.05180i
\(211\) 8.91267 9.89852i 0.613574 0.681442i −0.353647 0.935379i \(-0.615059\pi\)
0.967221 + 0.253936i \(0.0817254\pi\)
\(212\) −13.4651 + 2.86209i −0.924785 + 0.196569i
\(213\) −3.77478 + 17.2364i −0.258644 + 1.18102i
\(214\) −2.42922 0.516348i −0.166058 0.0352968i
\(215\) −3.73549 18.1354i −0.254758 1.23683i
\(216\) 0.586523 31.7486i 0.0399079 2.16022i
\(217\) −11.3558 8.25045i −0.770880 0.560077i
\(218\) 11.2430 19.4734i 0.761471 1.31891i
\(219\) 2.94088 + 1.72215i 0.198726 + 0.116372i
\(220\) −24.0538 + 2.37497i −1.62171 + 0.160120i
\(221\) 7.40679 + 3.29772i 0.498235 + 0.221828i
\(222\) −4.41261 21.4070i −0.296155 1.43674i
\(223\) −3.56890 0.758594i −0.238991 0.0507992i 0.0868587 0.996221i \(-0.472317\pi\)
−0.325850 + 0.945421i \(0.605650\pi\)
\(224\) 9.54893 0.638014
\(225\) −14.5899 3.48331i −0.972663 0.232221i
\(226\) 17.1771 1.14260
\(227\) −15.3712 3.26726i −1.02023 0.216856i −0.332713 0.943028i \(-0.607964\pi\)
−0.687513 + 0.726172i \(0.741297\pi\)
\(228\) −52.4612 17.4035i −3.47433 1.15258i
\(229\) 5.48833 + 2.44356i 0.362679 + 0.161475i 0.579982 0.814629i \(-0.303059\pi\)
−0.217303 + 0.976104i \(0.569726\pi\)
\(230\) −2.86964 + 13.0942i −0.189219 + 0.863407i
\(231\) −0.0540235 + 8.77380i −0.00355449 + 0.577274i
\(232\) 24.9950 43.2926i 1.64100 2.84230i
\(233\) −0.484321 0.351880i −0.0317289 0.0230524i 0.571808 0.820388i \(-0.306242\pi\)
−0.603537 + 0.797335i \(0.706242\pi\)
\(234\) −1.58350 + 13.4684i −0.103517 + 0.880458i
\(235\) 16.7376 + 15.2627i 1.09184 + 0.995630i
\(236\) −45.0950 9.58523i −2.93543 0.623945i
\(237\) 19.0961 + 17.4083i 1.24042 + 1.13079i
\(238\) 23.2689 4.94596i 1.50830 0.320599i
\(239\) 0.786263 0.873234i 0.0508592 0.0564848i −0.717178 0.696890i \(-0.754567\pi\)
0.768038 + 0.640405i \(0.221233\pi\)
\(240\) −21.0220 + 14.8767i −1.35696 + 0.960287i
\(241\) 12.0251 + 13.3552i 0.774604 + 0.860284i 0.993307 0.115507i \(-0.0368493\pi\)
−0.218703 + 0.975791i \(0.570183\pi\)
\(242\) 10.2448 + 7.44331i 0.658563 + 0.478474i
\(243\) 13.7335 7.37498i 0.881006 0.473105i
\(244\) 9.41469 + 6.84017i 0.602714 + 0.437897i
\(245\) 5.77852 + 1.91790i 0.369176 + 0.122530i
\(246\) 15.6917 13.9549i 1.00047 0.889734i
\(247\) 11.7916 + 5.24996i 0.750282 + 0.334047i
\(248\) 27.7530 30.8228i 1.76232 1.95725i
\(249\) −2.89997 + 6.40699i −0.183778 + 0.406026i
\(250\) 11.0249 + 26.0786i 0.697277 + 1.64936i
\(251\) 0.313172 0.0197673 0.00988364 0.999951i \(-0.496854\pi\)
0.00988364 + 0.999951i \(0.496854\pi\)
\(252\) 13.3974 + 23.8792i 0.843954 + 1.50425i
\(253\) −4.69096 + 3.40818i −0.294918 + 0.214270i
\(254\) −2.64004 25.1183i −0.165651 1.57606i
\(255\) −11.9330 + 12.9254i −0.747276 + 0.809420i
\(256\) 3.18545 30.3075i 0.199090 1.89422i
\(257\) 1.48530 + 2.57262i 0.0926507 + 0.160476i 0.908626 0.417611i \(-0.137133\pi\)
−0.815975 + 0.578087i \(0.803799\pi\)
\(258\) 0.223639 36.3206i 0.0139232 2.26122i
\(259\) 6.89579 + 7.65855i 0.428484 + 0.475879i
\(260\) 15.3099 8.71099i 0.949482 0.540233i
\(261\) 24.5388 + 0.302200i 1.51891 + 0.0187057i
\(262\) −10.7665 + 33.1359i −0.665158 + 2.04714i
\(263\) −5.43812 6.03964i −0.335329 0.372420i 0.551773 0.833994i \(-0.313952\pi\)
−0.887102 + 0.461574i \(0.847285\pi\)
\(264\) −25.7668 2.86872i −1.58584 0.176557i
\(265\) −1.49315 + 6.81327i −0.0917235 + 0.418536i
\(266\) 37.0440 7.87395i 2.27132 0.482783i
\(267\) −0.512661 0.300209i −0.0313743 0.0183725i
\(268\) 3.59745 6.23097i 0.219749 0.380617i
\(269\) 18.6230 + 13.5304i 1.13547 + 0.824965i 0.986481 0.163874i \(-0.0523992\pi\)
0.148986 + 0.988839i \(0.452399\pi\)
\(270\) −26.5755 12.6300i −1.61733 0.768640i
\(271\) −18.3049 + 13.2993i −1.11194 + 0.807874i −0.982969 0.183774i \(-0.941169\pi\)
−0.128974 + 0.991648i \(0.541169\pi\)
\(272\) 3.15706 + 30.0374i 0.191425 + 1.82129i
\(273\) −2.56470 5.85720i −0.155222 0.354494i
\(274\) 10.7997 + 18.7056i 0.652432 + 1.13005i
\(275\) −3.93104 + 11.5989i −0.237051 + 0.699441i
\(276\) −7.46146 + 16.4848i −0.449127 + 0.992268i
\(277\) 10.1292 + 2.15304i 0.608607 + 0.129363i 0.501898 0.864927i \(-0.332635\pi\)
0.106709 + 0.994290i \(0.465969\pi\)
\(278\) 19.1148 13.8877i 1.14643 0.832931i
\(279\) 19.8626 + 4.47826i 1.18914 + 0.268107i
\(280\) 11.6571 25.7443i 0.696643 1.53851i
\(281\) −23.2406 + 10.3474i −1.38642 + 0.617273i −0.958121 0.286365i \(-0.907553\pi\)
−0.428297 + 0.903638i \(0.640886\pi\)
\(282\) 25.8956 + 36.1076i 1.54206 + 2.15018i
\(283\) 1.73208 16.4797i 0.102962 0.979614i −0.814061 0.580779i \(-0.802748\pi\)
0.917023 0.398835i \(-0.130585\pi\)
\(284\) 43.9755 9.34728i 2.60946 0.554659i
\(285\) −18.9974 + 20.5772i −1.12531 + 1.21889i
\(286\) 10.8303 + 2.30204i 0.640407 + 0.136123i
\(287\) −3.05963 + 9.41657i −0.180604 + 0.555842i
\(288\) −12.7224 + 5.47768i −0.749677 + 0.322776i
\(289\) 1.12201 + 3.45318i 0.0660004 + 0.203128i
\(290\) −26.9905 37.6460i −1.58494 2.21065i
\(291\) −14.1010 12.8547i −0.826615 0.753555i
\(292\) 0.907660 8.63581i 0.0531168 0.505373i
\(293\) −6.06420 10.5035i −0.354274 0.613621i 0.632719 0.774381i \(-0.281939\pi\)
−0.986993 + 0.160760i \(0.948605\pi\)
\(294\) 10.3061 + 6.03516i 0.601066 + 0.351978i
\(295\) −13.8491 + 18.8112i −0.806328 + 1.09523i
\(296\) −24.6360 + 17.8991i −1.43194 + 1.04037i
\(297\) −4.96106 11.7207i −0.287870 0.680104i
\(298\) 5.43564 + 16.7292i 0.314878 + 0.969095i
\(299\) 2.11279 3.65946i 0.122186 0.211632i
\(300\) 7.24335 + 37.5262i 0.418195 + 2.16658i
\(301\) 8.56274 + 14.8311i 0.493548 + 0.854851i
\(302\) −1.33598 + 1.48375i −0.0768768 + 0.0853803i
\(303\) 4.46788 + 21.6751i 0.256673 + 1.24520i
\(304\) 5.02604 + 47.8195i 0.288263 + 2.74264i
\(305\) 5.12490 2.91595i 0.293451 0.166967i
\(306\) −28.1649 + 19.9378i −1.61008 + 1.13977i
\(307\) −11.7705 −0.671776 −0.335888 0.941902i \(-0.609036\pi\)
−0.335888 + 0.941902i \(0.609036\pi\)
\(308\) 20.4227 9.09277i 1.16369 0.518109i
\(309\) 15.1536 4.82076i 0.862059 0.274243i
\(310\) −15.4104 35.2080i −0.875253 1.99968i
\(311\) 6.61932 7.35150i 0.375347 0.416865i −0.525643 0.850705i \(-0.676175\pi\)
0.900990 + 0.433840i \(0.142842\pi\)
\(312\) 18.0047 5.72775i 1.01931 0.324270i
\(313\) −23.0294 25.5767i −1.30170 1.44568i −0.823376 0.567497i \(-0.807912\pi\)
−0.478322 0.878185i \(-0.658755\pi\)
\(314\) 3.04248 + 9.36378i 0.171697 + 0.528429i
\(315\) 13.8220 1.19305i 0.778783 0.0672210i
\(316\) 20.3452 62.6162i 1.14451 3.52243i
\(317\) 20.3148 9.04473i 1.14099 0.508003i 0.252821 0.967513i \(-0.418642\pi\)
0.888172 + 0.459510i \(0.151975\pi\)
\(318\) −5.64187 + 12.4647i −0.316380 + 0.698987i
\(319\) 2.09439 19.9268i 0.117263 1.11569i
\(320\) −3.09935 1.81555i −0.173259 0.101492i
\(321\) −1.26927 + 1.12878i −0.0708439 + 0.0630026i
\(322\) −1.29596 12.3303i −0.0722212 0.687139i
\(323\) 10.1495 + 31.2368i 0.564731 + 1.73806i
\(324\) −31.5481 24.1300i −1.75267 1.34056i
\(325\) −0.820957 8.88722i −0.0455385 0.492974i
\(326\) −10.6278 + 18.4078i −0.588618 + 1.01952i
\(327\) −6.16871 14.0880i −0.341130 0.779066i
\(328\) −26.7274 11.8998i −1.47577 0.657057i
\(329\) −19.1391 8.52130i −1.05518 0.469794i
\(330\) −12.2701 + 20.6538i −0.675448 + 1.13695i
\(331\) −11.9559 + 5.32309i −0.657154 + 0.292584i −0.708094 0.706118i \(-0.750445\pi\)
0.0509405 + 0.998702i \(0.483778\pi\)
\(332\) 17.9189 0.983426
\(333\) −13.5808 6.24809i −0.744225 0.342393i
\(334\) 8.45777 26.0303i 0.462788 1.42432i
\(335\) −2.12416 2.96275i −0.116056 0.161873i
\(336\) 14.1190 19.1836i 0.770253 1.04655i
\(337\) −14.2119 + 3.02084i −0.774174 + 0.164556i −0.578026 0.816019i \(-0.696177\pi\)
−0.196148 + 0.980574i \(0.562843\pi\)
\(338\) 24.3094 5.16712i 1.32226 0.281054i
\(339\) 6.96385 9.46185i 0.378225 0.513897i
\(340\) 42.5401 + 14.1192i 2.30706 + 0.765720i
\(341\) 5.13715 15.8105i 0.278192 0.856188i
\(342\) −44.8385 + 31.7409i −2.42459 + 1.71635i
\(343\) −20.1081 −1.08573
\(344\) −46.2289 + 20.5824i −2.49249 + 1.10973i
\(345\) 6.04945 + 6.88933i 0.325692 + 0.370909i
\(346\) −38.0822 16.9553i −2.04731 0.911522i
\(347\) 10.1994 + 4.54109i 0.547535 + 0.243778i 0.661811 0.749671i \(-0.269788\pi\)
−0.114276 + 0.993449i \(0.536455\pi\)
\(348\) −25.0802 57.2775i −1.34444 3.07040i
\(349\) 4.08628 7.07765i 0.218734 0.378858i −0.735687 0.677321i \(-0.763141\pi\)
0.954421 + 0.298463i \(0.0964740\pi\)
\(350\) −17.2757 19.6799i −0.923424 1.05194i
\(351\) 6.77700 + 6.33257i 0.361730 + 0.338008i
\(352\) 3.49476 + 10.7558i 0.186272 + 0.573285i
\(353\) 2.35701 + 22.4255i 0.125451 + 1.19359i 0.858283 + 0.513177i \(0.171532\pi\)
−0.732832 + 0.680410i \(0.761802\pi\)
\(354\) −34.2404 + 30.4505i −1.81986 + 1.61843i
\(355\) 4.87647 22.2514i 0.258816 1.18098i
\(356\) −0.158225 + 1.50541i −0.00838592 + 0.0797867i
\(357\) 6.70914 14.8227i 0.355085 0.784499i
\(358\) 1.20878 0.538184i 0.0638861 0.0284439i
\(359\) −7.75846 + 23.8781i −0.409476 + 1.26024i 0.507624 + 0.861579i \(0.330524\pi\)
−0.917100 + 0.398658i \(0.869476\pi\)
\(360\) −0.763175 + 40.9872i −0.0402229 + 2.16022i
\(361\) 10.2866 + 31.6589i 0.541400 + 1.66626i
\(362\) 39.1085 + 43.4344i 2.05550 + 2.28286i
\(363\) 8.25351 2.62565i 0.433197 0.137811i
\(364\) −10.9013 + 12.1071i −0.571381 + 0.634583i
\(365\) −3.79634 2.22384i −0.198709 0.116401i
\(366\) 11.0221 3.50640i 0.576132 0.183283i
\(367\) −5.89638 + 2.62524i −0.307788 + 0.137036i −0.554818 0.831972i \(-0.687212\pi\)
0.247030 + 0.969008i \(0.420545\pi\)
\(368\) 15.7411 0.820562
\(369\) −1.32528 14.3012i −0.0689914 0.744493i
\(370\) 5.69263 + 27.6372i 0.295946 + 1.43679i
\(371\) −0.674324 6.41576i −0.0350092 0.333090i
\(372\) −10.4736 50.8106i −0.543029 2.63441i
\(373\) −16.1275 + 17.9114i −0.835050 + 0.927417i −0.998248 0.0591766i \(-0.981152\pi\)
0.163198 + 0.986593i \(0.447819\pi\)
\(374\) 14.0871 + 24.3996i 0.728428 + 1.26167i
\(375\) 18.8349 + 4.49968i 0.972629 + 0.232363i
\(376\) 30.9530 53.6121i 1.59628 2.76484i
\(377\) 4.51220 + 13.8871i 0.232390 + 0.715224i
\(378\) 27.0079 + 3.34408i 1.38914 + 0.172001i
\(379\) −0.345496 + 0.251018i −0.0177469 + 0.0128939i −0.596623 0.802521i \(-0.703491\pi\)
0.578876 + 0.815415i \(0.303491\pi\)
\(380\) 67.7238 + 22.4777i 3.47416 + 1.15308i
\(381\) −14.9065 8.72911i −0.763685 0.447206i
\(382\) 1.27120 + 2.20179i 0.0650404 + 0.112653i
\(383\) −2.38455 + 22.6874i −0.121845 + 1.15927i 0.747220 + 0.664576i \(0.231388\pi\)
−0.869065 + 0.494698i \(0.835279\pi\)
\(384\) −17.0271 15.5222i −0.868911 0.792112i
\(385\) 0.0713958 11.3269i 0.00363867 0.577273i
\(386\) −10.8402 33.3628i −0.551753 1.69812i
\(387\) −19.9163 14.8482i −1.01240 0.754774i
\(388\) −15.0234 + 46.2373i −0.762698 + 2.34734i
\(389\) −12.1318 2.57870i −0.615108 0.130745i −0.110187 0.993911i \(-0.535145\pi\)
−0.504921 + 0.863166i \(0.668478\pi\)
\(390\) 2.04683 17.3874i 0.103645 0.880443i
\(391\) 10.5174 2.23555i 0.531889 0.113056i
\(392\) 1.73931 16.5484i 0.0878482 0.835820i
\(393\) 13.8878 + 19.3645i 0.700545 + 0.976809i
\(394\) −18.3245 + 8.15860i −0.923175 + 0.411024i
\(395\) −24.6496 22.4776i −1.24026 1.13097i
\(396\) −21.9940 + 23.8300i −1.10524 + 1.19750i
\(397\) −2.26012 + 1.64207i −0.113432 + 0.0824133i −0.643055 0.765820i \(-0.722333\pi\)
0.529623 + 0.848233i \(0.322333\pi\)
\(398\) −36.2052 7.69565i −1.81480 0.385748i
\(399\) 10.6809 23.5977i 0.534716 1.18136i
\(400\) 27.1420 19.2018i 1.35710 0.960089i
\(401\) −18.1027 31.3549i −0.904008 1.56579i −0.822244 0.569136i \(-0.807278\pi\)
−0.0817642 0.996652i \(-0.526055\pi\)
\(402\) −2.86834 6.55065i −0.143060 0.326717i
\(403\) 1.26636 + 12.0486i 0.0630820 + 0.600185i
\(404\) 45.6186 33.1438i 2.26961 1.64897i
\(405\) −17.7313 + 9.51848i −0.881075 + 0.472977i
\(406\) 34.6605 + 25.1824i 1.72017 + 1.24978i
\(407\) −6.10273 + 10.5702i −0.302501 + 0.523947i
\(408\) 41.4871 + 24.2944i 2.05392 + 1.20275i
\(409\) 21.7118 4.61499i 1.07358 0.228196i 0.362983 0.931796i \(-0.381758\pi\)
0.710597 + 0.703599i \(0.248425\pi\)
\(410\) −20.2606 + 18.0128i −1.00060 + 0.889588i
\(411\) 14.6822 + 1.63462i 0.724219 + 0.0806299i
\(412\) −27.1112 30.1100i −1.33567 1.48341i
\(413\) 6.67630 20.5475i 0.328519 1.01108i
\(414\) 8.79985 + 15.6847i 0.432489 + 0.770862i
\(415\) 3.74506 8.27084i 0.183838 0.405999i
\(416\) −5.51480 6.12480i −0.270385 0.300293i
\(417\) 0.0995004 16.1596i 0.00487256 0.791338i
\(418\) 22.4267 + 38.8441i 1.09692 + 1.89993i
\(419\) 3.34167 31.7939i 0.163251 1.55323i −0.539617 0.841911i \(-0.681431\pi\)
0.702868 0.711320i \(-0.251903\pi\)
\(420\) −17.2914 30.8305i −0.843734 1.50437i
\(421\) 0.145994 + 1.38904i 0.00711533 + 0.0676978i 0.997503 0.0706190i \(-0.0224974\pi\)
−0.990388 + 0.138317i \(0.955831\pi\)
\(422\) −27.2891 + 19.8267i −1.32841 + 0.965150i
\(423\) 30.3881 + 0.374235i 1.47752 + 0.0181960i
\(424\) 19.0622 0.925745
\(425\) 15.4079 16.6844i 0.747394 0.809311i
\(426\) 18.4257 40.7084i 0.892730 1.97233i
\(427\) −3.64913 + 4.05277i −0.176594 + 0.196127i
\(428\) 3.95372 + 1.76031i 0.191110 + 0.0850877i
\(429\) 5.65883 5.03249i 0.273211 0.242971i
\(430\) −0.295555 + 46.8897i −0.0142529 + 2.26122i
\(431\) −0.506575 0.368048i −0.0244009 0.0177283i 0.575518 0.817789i \(-0.304800\pi\)
−0.599919 + 0.800061i \(0.704800\pi\)
\(432\) −7.80676 + 33.6584i −0.375603 + 1.61939i
\(433\) −4.64257 3.37302i −0.223108 0.162097i 0.470617 0.882338i \(-0.344031\pi\)
−0.693724 + 0.720241i \(0.744031\pi\)
\(434\) 23.7851 + 26.4160i 1.14172 + 1.26801i
\(435\) −31.6794 0.394759i −1.51891 0.0189272i
\(436\) −26.2201 + 29.1204i −1.25572 + 1.39461i
\(437\) 16.7437 3.55899i 0.800960 0.170249i
\(438\) −6.37805 5.81433i −0.304755 0.277819i
\(439\) 22.6653 + 4.81766i 1.08176 + 0.229934i 0.714111 0.700032i \(-0.246831\pi\)
0.367644 + 0.929966i \(0.380164\pi\)
\(440\) 33.2643 + 3.70835i 1.58581 + 0.176789i
\(441\) 7.50269 3.23031i 0.357271 0.153824i
\(442\) −16.6109 12.0685i −0.790100 0.574041i
\(443\) 10.9667 18.9950i 0.521046 0.902477i −0.478655 0.878003i \(-0.658875\pi\)
0.999700 0.0244742i \(-0.00779117\pi\)
\(444\) −0.234526 + 38.0887i −0.0111301 + 1.80761i
\(445\) 0.661786 + 0.387664i 0.0313717 + 0.0183771i
\(446\) 8.44104 + 3.75819i 0.399695 + 0.177956i
\(447\) 11.4188 + 3.78809i 0.540092 + 0.179171i
\(448\) 3.24959 + 0.690721i 0.153529 + 0.0326335i
\(449\) −12.6712 −0.597990 −0.298995 0.954255i \(-0.596651\pi\)
−0.298995 + 0.954255i \(0.596651\pi\)
\(450\) 34.3064 + 16.3103i 1.61722 + 0.768876i
\(451\) −11.7265 −0.552178
\(452\) −29.2796 6.22357i −1.37720 0.292732i
\(453\) 0.275688 + 1.33745i 0.0129529 + 0.0628388i
\(454\) 36.3555 + 16.1865i 1.70625 + 0.759671i
\(455\) 3.30991 + 7.56209i 0.155171 + 0.354516i
\(456\) 66.0473 + 38.6766i 3.09295 + 1.81120i
\(457\) 0.0638731 0.110631i 0.00298786 0.00517512i −0.864528 0.502585i \(-0.832382\pi\)
0.867515 + 0.497410i \(0.165716\pi\)
\(458\) −12.3084 8.94261i −0.575136 0.417861i
\(459\) −0.435940 + 23.5975i −0.0203479 + 1.10144i
\(460\) 9.63581 21.2804i 0.449272 0.992203i
\(461\) 7.08732 + 1.50646i 0.330090 + 0.0701627i 0.369975 0.929042i \(-0.379366\pi\)
−0.0398858 + 0.999204i \(0.512699\pi\)
\(462\) 4.75339 21.7049i 0.221148 1.00981i
\(463\) −22.2769 + 4.73511i −1.03530 + 0.220059i −0.694059 0.719918i \(-0.744179\pi\)
−0.341238 + 0.939977i \(0.610846\pi\)
\(464\) −36.3970 + 40.4230i −1.68969 + 1.87659i
\(465\) −25.6417 5.78515i −1.18910 0.268280i
\(466\) 1.01443 + 1.12664i 0.0469925 + 0.0521905i
\(467\) −7.87672 5.72277i −0.364491 0.264818i 0.390432 0.920632i \(-0.372326\pi\)
−0.754923 + 0.655814i \(0.772326\pi\)
\(468\) 7.57907 22.3842i 0.350343 1.03471i
\(469\) 2.72780 + 1.98186i 0.125958 + 0.0915138i
\(470\) −33.4242 46.6196i −1.54174 2.15040i
\(471\) 6.39144 + 2.12030i 0.294502 + 0.0976983i
\(472\) 58.3208 + 25.9661i 2.68443 + 1.19519i
\(473\) −13.5717 + 15.0729i −0.624028 + 0.693053i
\(474\) −38.1367 53.1761i −1.75168 2.44246i
\(475\) 24.5294 26.5615i 1.12548 1.21872i
\(476\) −41.4556 −1.90012
\(477\) 4.57879 + 8.16118i 0.209649 + 0.373675i
\(478\) −2.40741 + 1.74909i −0.110112 + 0.0800013i
\(479\) 1.17638 + 11.1925i 0.0537503 + 0.511400i 0.987964 + 0.154686i \(0.0494365\pi\)
−0.934213 + 0.356715i \(0.883897\pi\)
\(480\) 16.4256 7.06926i 0.749724 0.322666i
\(481\) 0.929762 8.84609i 0.0423935 0.403347i
\(482\) −22.7553 39.4133i −1.03648 1.79523i
\(483\) −7.31744 4.28502i −0.332955 0.194975i
\(484\) −14.7662 16.3996i −0.671193 0.745436i
\(485\) 18.2019 + 16.5980i 0.826506 + 0.753676i
\(486\) −37.9021 + 11.0374i −1.71927 + 0.500669i
\(487\) −2.45081 + 7.54283i −0.111057 + 0.341798i −0.991104 0.133088i \(-0.957511\pi\)
0.880047 + 0.474886i \(0.157511\pi\)
\(488\) −10.7827 11.9754i −0.488112 0.542103i
\(489\) 5.83115 + 13.3171i 0.263694 + 0.602218i
\(490\) −13.3040 7.79330i −0.601014 0.352065i
\(491\) −14.3906 + 3.05881i −0.649438 + 0.138042i −0.520840 0.853654i \(-0.674381\pi\)
−0.128598 + 0.991697i \(0.541048\pi\)
\(492\) −31.8039 + 18.1018i −1.43383 + 0.816093i
\(493\) −18.5778 + 32.1777i −0.836702 + 1.44921i
\(494\) −26.4445 19.2131i −1.18980 0.864437i
\(495\) 6.40249 + 15.1323i 0.287771 + 0.680146i
\(496\) −36.5114 + 26.5271i −1.63941 + 1.19110i
\(497\) 2.20227 + 20.9532i 0.0987853 + 0.939879i
\(498\) 10.5569 14.3437i 0.473064 0.642757i
\(499\) −11.7212 20.3017i −0.524714 0.908831i −0.999586 0.0287762i \(-0.990839\pi\)
0.474872 0.880055i \(-0.342494\pi\)
\(500\) −9.34406 48.4475i −0.417879 2.16664i
\(501\) −10.9097 15.2120i −0.487410 0.679623i
\(502\) −0.775753 0.164891i −0.0346235 0.00735946i
\(503\) −11.6643 + 8.47463i −0.520087 + 0.377865i −0.816637 0.577152i \(-0.804164\pi\)
0.296550 + 0.955017i \(0.404164\pi\)
\(504\) −11.2716 36.2012i −0.502076 1.61253i
\(505\) −5.76393 27.9833i −0.256491 1.24524i
\(506\) 13.4143 5.97245i 0.596340 0.265508i
\(507\) 7.00914 15.4855i 0.311287 0.687734i
\(508\) −4.60069 + 43.7726i −0.204122 + 1.94209i
\(509\) −0.377856 + 0.0803159i −0.0167482 + 0.00355994i −0.216278 0.976332i \(-0.569392\pi\)
0.199530 + 0.979892i \(0.436058\pi\)
\(510\) 36.3645 25.7343i 1.61025 1.13953i
\(511\) 3.98037 + 0.846053i 0.176081 + 0.0374272i
\(512\) −15.6267 + 48.0942i −0.690611 + 2.12548i
\(513\) −0.694016 + 37.5672i −0.0306416 + 1.65863i
\(514\) −2.32468 7.15462i −0.102537 0.315577i
\(515\) −19.5641 + 6.22072i −0.862099 + 0.274118i
\(516\) −13.5409 + 61.8303i −0.596103 + 2.72193i
\(517\) 2.59363 24.6767i 0.114068 1.08528i
\(518\) −13.0490 22.6016i −0.573342 0.993057i
\(519\) −24.7788 + 14.1034i −1.08767 + 0.619068i
\(520\) −23.2450 + 7.39111i −1.01936 + 0.324121i
\(521\) 35.3256 25.6656i 1.54764 1.12443i 0.602340 0.798240i \(-0.294235\pi\)
0.945304 0.326190i \(-0.105765\pi\)
\(522\) −60.6254 13.6687i −2.65350 0.598264i
\(523\) −6.03504 18.5739i −0.263894 0.812182i −0.991946 0.126660i \(-0.959574\pi\)
0.728052 0.685522i \(-0.240426\pi\)
\(524\) 30.3581 52.5818i 1.32620 2.29705i
\(525\) −17.8444 + 1.53762i −0.778793 + 0.0671074i
\(526\) 10.2907 + 17.8239i 0.448694 + 0.777161i
\(527\) −20.6277 + 22.9094i −0.898559 + 0.997950i
\(528\) 26.7754 + 8.88251i 1.16525 + 0.386561i
\(529\) 1.81839 + 17.3008i 0.0790603 + 0.752208i
\(530\) 7.28596 16.0908i 0.316482 0.698940i
\(531\) 2.89185 + 31.2062i 0.125496 + 1.35423i
\(532\) −65.9973 −2.86135
\(533\) 7.80693 3.47587i 0.338156 0.150557i
\(534\) 1.11184 + 1.01357i 0.0481138 + 0.0438613i
\(535\) 1.63884 1.45702i 0.0708531 0.0629923i
\(536\) −6.66662 + 7.40403i −0.287954 + 0.319805i
\(537\) 0.193605 0.884037i 0.00835465 0.0381490i
\(538\) −39.0067 43.3213i −1.68170 1.86771i
\(539\) −2.06094 6.34291i −0.0887708 0.273208i
\(540\) 40.7238 + 31.1577i 1.75247 + 1.34081i
\(541\) −5.67479 + 17.4652i −0.243978 + 0.750888i 0.751824 + 0.659363i \(0.229174\pi\)
−0.995803 + 0.0915249i \(0.970826\pi\)
\(542\) 52.3450 23.3055i 2.24841 1.00106i
\(543\) 39.7807 3.93363i 1.70715 0.168808i
\(544\) 2.19215 20.8569i 0.0939878 0.894234i
\(545\) 7.96111 + 18.1886i 0.341017 + 0.779115i
\(546\) 3.26903 + 15.8591i 0.139901 + 0.678707i
\(547\) −4.02229 38.2695i −0.171981 1.63629i −0.651425 0.758713i \(-0.725828\pi\)
0.479444 0.877572i \(-0.340838\pi\)
\(548\) −11.6315 35.7980i −0.496872 1.52922i
\(549\) 2.53704 7.49297i 0.108278 0.319792i
\(550\) 15.8446 26.6616i 0.675614 1.13686i
\(551\) −29.5758 + 51.2268i −1.25997 + 2.18234i
\(552\) 14.8525 20.1802i 0.632164 0.858927i
\(553\) 28.1864 + 12.5494i 1.19861 + 0.533655i
\(554\) −23.9573 10.6665i −1.01785 0.453175i
\(555\) 17.5316 + 8.06881i 0.744176 + 0.342502i
\(556\) −37.6145 + 16.7471i −1.59521 + 0.710233i
\(557\) 34.0992 1.44483 0.722414 0.691461i \(-0.243032\pi\)
0.722414 + 0.691461i \(0.243032\pi\)
\(558\) −46.8433 21.5510i −1.98304 0.912329i
\(559\) 4.56761 14.0577i 0.193189 0.594576i
\(560\) −18.2311 + 24.7632i −0.770405 + 1.04644i
\(561\) 19.1515 + 2.13221i 0.808577 + 0.0900218i
\(562\) 63.0169 13.3946i 2.65821 0.565019i
\(563\) 24.2833 5.16157i 1.02342 0.217534i 0.334518 0.942390i \(-0.391427\pi\)
0.688901 + 0.724855i \(0.258093\pi\)
\(564\) −31.0585 70.9307i −1.30780 2.98672i
\(565\) −8.99208 + 12.2139i −0.378300 + 0.513842i
\(566\) −12.9674 + 39.9094i −0.545058 + 1.67752i
\(567\) 12.7915 13.5213i 0.537192 0.567843i
\(568\) −62.2553 −2.61217
\(569\) −25.8779 + 11.5216i −1.08486 + 0.483011i −0.869706 0.493570i \(-0.835692\pi\)
−0.215153 + 0.976580i \(0.569025\pi\)
\(570\) 57.8923 40.9689i 2.42484 1.71600i
\(571\) 29.1809 + 12.9922i 1.22118 + 0.543706i 0.913132 0.407663i \(-0.133656\pi\)
0.308052 + 0.951370i \(0.400323\pi\)
\(572\) −17.6269 7.84802i −0.737020 0.328142i
\(573\) 1.72821 + 0.192407i 0.0721968 + 0.00803794i
\(574\) 12.5369 21.7146i 0.523282 0.906351i
\(575\) −7.80852 8.89522i −0.325638 0.370956i
\(576\) −4.72579 + 0.943829i −0.196908 + 0.0393262i
\(577\) −4.21265 12.9652i −0.175375 0.539748i 0.824276 0.566189i \(-0.191583\pi\)
−0.999650 + 0.0264408i \(0.991583\pi\)
\(578\) −0.961131 9.14455i −0.0399778 0.380363i
\(579\) −22.7725 7.55456i −0.946391 0.313957i
\(580\) 32.3676 + 73.9497i 1.34399 + 3.07059i
\(581\) −0.877759 + 8.35132i −0.0364156 + 0.346471i
\(582\) 28.1610 + 39.2665i 1.16731 + 1.62765i
\(583\) 6.97983 3.10762i 0.289075 0.128705i
\(584\) −3.71570 + 11.4358i −0.153757 + 0.473215i
\(585\) −8.74788 8.17659i −0.361680 0.338061i
\(586\) 9.49120 + 29.2109i 0.392078 + 1.20669i
\(587\) −26.5805 29.5207i −1.09710 1.21845i −0.974118 0.226039i \(-0.927422\pi\)
−0.122978 0.992409i \(-0.539244\pi\)
\(588\) −15.3809 14.0215i −0.634299 0.578237i
\(589\) −32.8393 + 36.4718i −1.35312 + 1.50279i
\(590\) 44.2099 39.3050i 1.82009 1.61816i
\(591\) −2.93495 + 13.4015i −0.120728 + 0.551266i
\(592\) 30.2702 13.4772i 1.24410 0.553908i
\(593\) 16.9892 0.697663 0.348832 0.937185i \(-0.386579\pi\)
0.348832 + 0.937185i \(0.386579\pi\)
\(594\) 6.11776 + 31.6452i 0.251015 + 1.29842i
\(595\) −8.66425 + 19.1347i −0.355200 + 0.784447i
\(596\) −3.20416 30.4856i −0.131248 1.24874i
\(597\) −18.9173 + 16.8234i −0.774232 + 0.688537i
\(598\) −7.16033 + 7.95235i −0.292808 + 0.325196i
\(599\) −7.81800 13.5412i −0.319435 0.553277i 0.660935 0.750443i \(-0.270160\pi\)
−0.980370 + 0.197166i \(0.936826\pi\)
\(600\) 0.992972 52.9141i 0.0405379 2.16021i
\(601\) −0.702116 + 1.21610i −0.0286399 + 0.0496058i −0.879990 0.474992i \(-0.842451\pi\)
0.851350 + 0.524598i \(0.175784\pi\)
\(602\) −13.4017 41.2462i −0.546213 1.68107i
\(603\) −4.77124 1.07573i −0.194300 0.0438073i
\(604\) 2.81486 2.04512i 0.114535 0.0832147i
\(605\) −10.6557 + 3.38815i −0.433217 + 0.137748i
\(606\) 0.345080 56.0434i 0.0140179 2.27661i
\(607\) −3.79337 6.57031i −0.153968 0.266681i 0.778715 0.627378i \(-0.215872\pi\)
−0.932683 + 0.360698i \(0.882539\pi\)
\(608\) 3.48990 33.2042i 0.141534 1.34661i
\(609\) 27.9235 8.88317i 1.13152 0.359964i
\(610\) −14.2301 + 4.52467i −0.576159 + 0.183199i
\(611\) 5.58777 + 17.1974i 0.226057 + 0.695732i
\(612\) 55.2331 23.7808i 2.23267 0.961281i
\(613\) 9.44377 29.0649i 0.381430 1.17392i −0.557607 0.830105i \(-0.688280\pi\)
0.939037 0.343816i \(-0.111720\pi\)
\(614\) 29.1564 + 6.19737i 1.17665 + 0.250106i
\(615\) 1.70824 + 18.4631i 0.0688829 + 0.744503i
\(616\) −30.2801 + 6.43623i −1.22002 + 0.259323i
\(617\) −0.105946 + 1.00801i −0.00426524 + 0.0405811i −0.996448 0.0842162i \(-0.973161\pi\)
0.992182 + 0.124797i \(0.0398280\pi\)
\(618\) −40.0749 + 3.96272i −1.61205 + 0.159404i
\(619\) 42.0648 18.7285i 1.69073 0.752761i 0.691181 0.722681i \(-0.257091\pi\)
0.999548 0.0300796i \(-0.00957609\pi\)
\(620\) 13.5117 + 65.5981i 0.542644 + 2.63448i
\(621\) 12.2074 + 1.51151i 0.489867 + 0.0606546i
\(622\) −20.2673 + 14.7250i −0.812644 + 0.590420i
\(623\) −0.693866 0.147486i −0.0277991 0.00590889i
\(624\) −20.4587 + 2.02302i −0.819004 + 0.0809855i
\(625\) −24.3149 5.81261i −0.972595 0.232505i
\(626\) 43.5789 + 75.4809i 1.74176 + 3.01682i
\(627\) 30.4891 + 3.39447i 1.21762 + 0.135562i
\(628\) −1.79346 17.0636i −0.0715668 0.680913i
\(629\) 18.3110 13.3037i 0.730108 0.530455i
\(630\) −34.8664 4.32227i −1.38911 0.172203i
\(631\) −6.24556 4.53767i −0.248632 0.180642i 0.456488 0.889729i \(-0.349107\pi\)
−0.705120 + 0.709088i \(0.749107\pi\)
\(632\) −45.5848 + 78.9552i −1.81327 + 3.14067i
\(633\) −0.142051 + 23.0701i −0.00564602 + 0.916954i
\(634\) −55.0836 + 11.7084i −2.18765 + 0.464999i
\(635\) 19.2426 + 11.2720i 0.763620 + 0.447317i
\(636\) 14.1332 19.2029i 0.560418 0.761445i
\(637\) 3.25219 + 3.61192i 0.128857 + 0.143110i
\(638\) −15.6798 + 48.2575i −0.620770 + 1.91053i
\(639\) −14.9539 26.6535i −0.591565 1.05440i
\(640\) 21.9790 + 20.0422i 0.868795 + 0.792239i
\(641\) 18.6755 + 20.7412i 0.737637 + 0.819229i 0.988883 0.148694i \(-0.0475070\pi\)
−0.251246 + 0.967923i \(0.580840\pi\)
\(642\) 3.73841 2.12779i 0.147543 0.0839772i
\(643\) −3.87285 6.70797i −0.152730 0.264537i 0.779500 0.626402i \(-0.215473\pi\)
−0.932230 + 0.361866i \(0.882140\pi\)
\(644\) −2.25842 + 21.4874i −0.0889943 + 0.846724i
\(645\) 25.7090 + 19.1726i 1.01229 + 0.754922i
\(646\) −8.69421 82.7199i −0.342069 3.25457i
\(647\) −27.8778 + 20.2544i −1.09599 + 0.796283i −0.980401 0.197015i \(-0.936875\pi\)
−0.115588 + 0.993297i \(0.536875\pi\)
\(648\) 35.7842 + 41.7666i 1.40574 + 1.64075i
\(649\) 25.5879 1.00441
\(650\) −2.64572 + 22.4466i −0.103774 + 0.880428i
\(651\) 24.1939 2.39237i 0.948236 0.0937643i
\(652\) 24.7854 27.5269i 0.970670 1.07804i
\(653\) −10.9336 4.86796i −0.427866 0.190498i 0.181494 0.983392i \(-0.441907\pi\)
−0.609360 + 0.792894i \(0.708573\pi\)
\(654\) 7.86279 + 38.1449i 0.307459 + 1.49158i
\(655\) −17.9254 25.0021i −0.700403 0.976911i
\(656\) 25.7547 + 18.7119i 1.00555 + 0.730576i
\(657\) −5.78855 + 1.15608i −0.225833 + 0.0451030i
\(658\) 42.9225 + 31.1850i 1.67329 + 1.21572i
\(659\) 6.24538 + 6.93619i 0.243285 + 0.270196i 0.852404 0.522883i \(-0.175144\pi\)
−0.609119 + 0.793079i \(0.708477\pi\)
\(660\) 28.3986 30.7603i 1.10542 1.19734i
\(661\) 3.22292 3.57941i 0.125357 0.139223i −0.677199 0.735800i \(-0.736806\pi\)
0.802556 + 0.596577i \(0.203473\pi\)
\(662\) 32.4183 6.89073i 1.25997 0.267816i
\(663\) −13.3822 + 4.25722i −0.519721 + 0.165337i
\(664\) −24.2709 5.15893i −0.941892 0.200205i
\(665\) −13.7935 + 30.4624i −0.534888 + 1.18128i
\(666\) 30.3511 + 22.6276i 1.17608 + 0.876801i
\(667\) 15.6664 + 11.3823i 0.606605 + 0.440724i
\(668\) −23.8482 + 41.3063i −0.922714 + 1.59819i
\(669\) 5.49230 3.12605i 0.212345 0.120860i
\(670\) 3.70177 + 8.45739i 0.143012 + 0.326737i
\(671\) −5.90050 2.62707i −0.227786 0.101417i
\(672\) −12.3589 + 10.9910i −0.476757 + 0.423987i
\(673\) 17.4410 + 3.70720i 0.672301 + 0.142902i 0.531399 0.847122i \(-0.321666\pi\)
0.140902 + 0.990024i \(0.455000\pi\)
\(674\) 36.7946 1.41728
\(675\) 22.8928 12.2850i 0.881144 0.472848i
\(676\) −43.3093 −1.66574
\(677\) −14.9861 3.18540i −0.575963 0.122425i −0.0892851 0.996006i \(-0.528458\pi\)
−0.486678 + 0.873581i \(0.661792\pi\)
\(678\) −22.2319 + 19.7711i −0.853809 + 0.759306i
\(679\) −20.8135 9.26678i −0.798750 0.355627i
\(680\) −53.5550 31.3717i −2.05374 1.20305i
\(681\) 23.6553 13.4639i 0.906474 0.515937i
\(682\) −21.0497 + 36.4591i −0.806034 + 1.39609i
\(683\) −22.9889 16.7024i −0.879645 0.639100i 0.0535124 0.998567i \(-0.482958\pi\)
−0.933158 + 0.359468i \(0.882958\pi\)
\(684\) 87.9310 37.8590i 3.36213 1.44757i
\(685\) −18.9543 2.11305i −0.724207 0.0807355i
\(686\) 49.8093 + 10.5873i 1.90173 + 0.404225i
\(687\) −9.91601 + 3.15454i −0.378319 + 0.120353i
\(688\) 53.8592 11.4481i 2.05336 0.436455i
\(689\) −3.72571 + 4.13782i −0.141938 + 0.157638i
\(690\) −11.3576 20.2506i −0.432377 0.770925i
\(691\) 14.7072 + 16.3340i 0.559488 + 0.621374i 0.954827 0.297161i \(-0.0960397\pi\)
−0.395340 + 0.918535i \(0.629373\pi\)
\(692\) 58.7708 + 42.6995i 2.23413 + 1.62319i
\(693\) −10.0289 11.4179i −0.380967 0.433730i
\(694\) −22.8739 16.6188i −0.868280 0.630842i
\(695\) −0.131497 + 20.8619i −0.00498796 + 0.791337i
\(696\) 17.4802 + 84.8022i 0.662587 + 3.21442i
\(697\) 19.8654 + 8.84466i 0.752457 + 0.335016i
\(698\) −13.8486 + 15.3804i −0.524176 + 0.582156i
\(699\) 1.03187 0.102034i 0.0390287 0.00385928i
\(700\) 22.3173 + 39.8052i 0.843515 + 1.50450i
\(701\) 6.44692 0.243497 0.121748 0.992561i \(-0.461150\pi\)
0.121748 + 0.992561i \(0.461150\pi\)
\(702\) −13.4529 19.2545i −0.507749 0.726714i
\(703\) 29.1511 21.1795i 1.09946 0.798801i
\(704\) 0.411282 + 3.91309i 0.0155008 + 0.147480i
\(705\) −39.2308 0.488857i −1.47752 0.0184114i
\(706\) 5.96893 56.7906i 0.224644 2.13734i
\(707\) 13.2125 + 22.8847i 0.496906 + 0.860666i
\(708\) 69.3981 39.4993i 2.60814 1.48447i
\(709\) −3.28572 3.64916i −0.123398 0.137047i 0.678280 0.734804i \(-0.262726\pi\)
−0.801678 + 0.597756i \(0.796059\pi\)
\(710\) −23.7952 + 52.5509i −0.893017 + 1.97220i
\(711\) −44.7529 0.551141i −1.67836 0.0206694i
\(712\) 0.647729 1.99351i 0.0242747 0.0747098i
\(713\) 10.7507 + 11.9399i 0.402619 + 0.447153i
\(714\) −24.4235 + 33.1844i −0.914026 + 1.24190i
\(715\) −7.30646 + 6.49585i −0.273246 + 0.242931i
\(716\) −2.25545 + 0.479412i −0.0842903 + 0.0179165i
\(717\) −0.0125315 + 2.03521i −0.000467999 + 0.0760064i
\(718\) 31.7906 55.0629i 1.18641 2.05493i
\(719\) 38.7957 + 28.1867i 1.44683 + 1.05119i 0.986558 + 0.163412i \(0.0522498\pi\)
0.460277 + 0.887775i \(0.347750\pi\)
\(720\) 10.0848 43.4513i 0.375839 1.61933i
\(721\) 15.3612 11.1605i 0.572080 0.415640i
\(722\) −8.81169 83.8376i −0.327937 3.12011i
\(723\) −30.9359 3.44421i −1.15052 0.128091i
\(724\) −50.9263 88.2070i −1.89266 3.27819i
\(725\) 40.8979 + 0.515595i 1.51891 + 0.0191487i
\(726\) −21.8270 + 2.15832i −0.810077 + 0.0801028i
\(727\) −10.1485 2.15714i −0.376389 0.0800039i 0.0158329 0.999875i \(-0.494960\pi\)
−0.392222 + 0.919871i \(0.628293\pi\)
\(728\) 18.2513 13.2603i 0.676437 0.491461i
\(729\) −9.28621 + 25.3528i −0.343934 + 0.938994i
\(730\) 8.23293 + 7.50747i 0.304715 + 0.277864i
\(731\) 34.3601 15.2981i 1.27086 0.565821i
\(732\) −20.0584 + 1.98343i −0.741379 + 0.0733097i
\(733\) 1.00624 9.57373i 0.0371663 0.353614i −0.960096 0.279670i \(-0.909775\pi\)
0.997262 0.0739435i \(-0.0235584\pi\)
\(734\) 15.9880 3.39836i 0.590129 0.125436i
\(735\) −9.68654 + 4.16889i −0.357294 + 0.153772i
\(736\) −10.6912 2.27249i −0.394084 0.0837651i
\(737\) −1.23401 + 3.79789i −0.0454553 + 0.139897i
\(738\) −4.24705 + 36.1231i −0.156336 + 1.32971i
\(739\) −10.9628 33.7400i −0.403273 1.24115i −0.922329 0.386406i \(-0.873716\pi\)
0.519056 0.854740i \(-0.326284\pi\)
\(740\) 0.309942 49.1722i 0.0113937 1.80761i
\(741\) −21.3044 + 6.77748i −0.782637 + 0.248977i
\(742\) −1.70767 + 16.2474i −0.0626905 + 0.596460i
\(743\) 1.41943 + 2.45852i 0.0520738 + 0.0901944i 0.890887 0.454224i \(-0.150084\pi\)
−0.838814 + 0.544419i \(0.816750\pi\)
\(744\) −0.442330 + 71.8376i −0.0162166 + 2.63369i
\(745\) −14.7409 4.89255i −0.540066 0.179249i
\(746\) 49.3797 35.8765i 1.80792 1.31353i
\(747\) −3.62121 11.6303i −0.132493 0.425532i
\(748\) −15.1721 46.6951i −0.554749 1.70734i
\(749\) −1.01409 + 1.75645i −0.0370539 + 0.0641793i
\(750\) −44.2863 21.0630i −1.61711 0.769112i
\(751\) −19.4018 33.6049i −0.707983 1.22626i −0.965604 0.260016i \(-0.916272\pi\)
0.257622 0.966246i \(-0.417061\pi\)
\(752\) −45.0729 + 50.0585i −1.64364 + 1.82545i
\(753\) −0.405332 + 0.360468i −0.0147711 + 0.0131362i
\(754\) −3.86524 36.7753i −0.140764 1.33928i
\(755\) −0.355659 1.72669i −0.0129438 0.0628407i
\(756\) −44.8254 15.4857i −1.63028 0.563210i
\(757\) 32.7437 1.19009 0.595046 0.803692i \(-0.297134\pi\)
0.595046 + 0.803692i \(0.297134\pi\)
\(758\) 0.987987 0.439880i 0.0358853 0.0159772i
\(759\) 2.14851 9.81052i 0.0779859 0.356099i
\(760\) −85.2594 49.9437i −3.09269 1.81165i
\(761\) −0.299221 + 0.332319i −0.0108468 + 0.0120465i −0.748544 0.663085i \(-0.769247\pi\)
0.737697 + 0.675132i \(0.235913\pi\)
\(762\) 32.3286 + 29.4713i 1.17114 + 1.06763i
\(763\) −12.2875 13.6467i −0.444838 0.494043i
\(764\) −1.36911 4.21370i −0.0495328 0.152446i
\(765\) 0.567239 30.4642i 0.0205086 1.10144i
\(766\) 17.8521 54.9431i 0.645022 1.98517i
\(767\) −17.0352 + 7.58457i −0.615106 + 0.273863i
\(768\) 30.7617 + 42.8928i 1.11002 + 1.54776i
\(769\) 0.783090 7.45061i 0.0282390 0.268676i −0.971288 0.237908i \(-0.923538\pi\)
0.999527 0.0307674i \(-0.00979512\pi\)
\(770\) −6.14069 + 28.0201i −0.221295 + 1.00977i
\(771\) −4.88353 1.62007i