Properties

Label 135.2.q.a.2.14
Level $135$
Weight $2$
Character 135.2
Analytic conductor $1.078$
Analytic rank $0$
Dimension $192$
CM no
Inner twists $4$

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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 2.14
Character \(\chi\) \(=\) 135.2
Dual form 135.2.q.a.68.14

$q$-expansion

\(f(q)\) \(=\) \(q+(1.15565 + 1.65044i) q^{2} +(-0.352907 + 1.69572i) q^{3} +(-0.704386 + 1.93528i) q^{4} +(-2.13942 - 0.650308i) q^{5} +(-3.20652 + 1.37721i) q^{6} +(1.32708 + 0.618828i) q^{7} +(-0.115769 + 0.0310202i) q^{8} +(-2.75091 - 1.19686i) q^{9} +O(q^{10})\) \(q+(1.15565 + 1.65044i) q^{2} +(-0.352907 + 1.69572i) q^{3} +(-0.704386 + 1.93528i) q^{4} +(-2.13942 - 0.650308i) q^{5} +(-3.20652 + 1.37721i) q^{6} +(1.32708 + 0.618828i) q^{7} +(-0.115769 + 0.0310202i) q^{8} +(-2.75091 - 1.19686i) q^{9} +(-1.39912 - 4.28251i) q^{10} +(1.86051 - 2.21727i) q^{11} +(-3.03311 - 1.87741i) q^{12} +(5.02076 + 3.51558i) q^{13} +(0.512304 + 2.90542i) q^{14} +(1.85775 - 3.39835i) q^{15} +(2.97033 + 2.49240i) q^{16} +(-3.10881 - 0.833002i) q^{17} +(-1.20375 - 5.92337i) q^{18} +(-3.51741 - 2.03078i) q^{19} +(2.76550 - 3.68231i) q^{20} +(-1.51769 + 2.03197i) q^{21} +(5.80958 + 0.508272i) q^{22} +(-2.14034 - 4.58997i) q^{23} +(-0.0117458 - 0.207259i) q^{24} +(4.15420 + 2.78256i) q^{25} +12.3493i q^{26} +(3.00035 - 4.24239i) q^{27} +(-2.13239 + 2.13239i) q^{28} +(-0.368261 + 2.08851i) q^{29} +(7.75568 - 0.861192i) q^{30} +(-3.20394 - 1.16614i) q^{31} +(-0.701790 + 8.02150i) q^{32} +(3.10328 + 3.93739i) q^{33} +(-2.21787 - 6.09356i) q^{34} +(-2.43675 - 2.18694i) q^{35} +(4.25397 - 4.48075i) q^{36} +(3.04540 - 11.3656i) q^{37} +(-0.713220 - 8.15214i) q^{38} +(-7.73328 + 7.27312i) q^{39} +(0.267850 + 0.00892031i) q^{40} +(0.839107 - 0.147957i) q^{41} +(-5.10757 - 0.156621i) q^{42} +(-0.732994 + 0.0641287i) q^{43} +(2.98053 + 5.16243i) q^{44} +(5.10702 + 4.34952i) q^{45} +(5.10199 - 8.83690i) q^{46} +(-1.21825 + 2.61254i) q^{47} +(-5.27466 + 4.15725i) q^{48} +(-3.12132 - 3.71984i) q^{49} +(0.208362 + 10.0719i) q^{50} +(2.50966 - 4.97768i) q^{51} +(-10.3402 + 7.24028i) q^{52} +(0.0757900 + 0.0757900i) q^{53} +(10.4692 + 0.0491845i) q^{54} +(-5.42232 + 3.53376i) q^{55} +(-0.172831 - 0.0304748i) q^{56} +(4.68494 - 5.24785i) q^{57} +(-3.87255 + 1.80580i) q^{58} +(2.89613 - 2.43014i) q^{59} +(5.26819 + 5.98902i) q^{60} +(-4.21993 + 1.53593i) q^{61} +(-1.77799 - 6.63556i) q^{62} +(-2.91003 - 3.29067i) q^{63} +(-7.33402 + 4.23430i) q^{64} +(-8.45529 - 10.7863i) q^{65} +(-2.91213 + 9.67203i) q^{66} +(-2.55795 + 3.65313i) q^{67} +(3.80189 - 5.42967i) q^{68} +(8.53862 - 2.00957i) q^{69} +(0.793385 - 6.54906i) q^{70} +(-7.84988 + 4.53213i) q^{71} +(0.355597 + 0.0532255i) q^{72} +(2.15667 + 8.04880i) q^{73} +(22.2777 - 8.10840i) q^{74} +(-6.18448 + 6.06236i) q^{75} +(6.40774 - 5.37673i) q^{76} +(3.84116 - 1.79116i) q^{77} +(-20.9408 - 4.35814i) q^{78} +(-1.44073 - 0.254040i) q^{79} +(-4.73394 - 7.26391i) q^{80} +(6.13505 + 6.58492i) q^{81} +(1.21391 + 1.21391i) q^{82} +(-13.8441 + 9.69375i) q^{83} +(-2.86339 - 4.36846i) q^{84} +(6.10932 + 3.80382i) q^{85} +(-0.952926 - 1.13565i) q^{86} +(-3.41157 - 1.36152i) q^{87} +(-0.146609 + 0.314404i) q^{88} +(-3.05075 + 5.28406i) q^{89} +(-1.27670 + 13.4554i) q^{90} +(4.48742 + 7.77244i) q^{91} +(10.3905 - 0.909052i) q^{92} +(3.10813 - 5.02144i) q^{93} +(-5.71971 + 1.00854i) q^{94} +(6.20457 + 6.63207i) q^{95} +(-13.3545 - 4.02088i) q^{96} +(1.41304 + 16.1512i) q^{97} +(2.53222 - 9.45039i) q^{98} +(-7.77187 + 3.87275i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.15565 + 1.65044i 0.817169 + 1.16704i 0.983489 + 0.180966i \(0.0579225\pi\)
−0.166320 + 0.986072i \(0.553189\pi\)
\(3\) −0.352907 + 1.69572i −0.203751 + 0.979023i
\(4\) −0.704386 + 1.93528i −0.352193 + 0.967642i
\(5\) −2.13942 0.650308i −0.956776 0.290826i
\(6\) −3.20652 + 1.37721i −1.30906 + 0.562242i
\(7\) 1.32708 + 0.618828i 0.501590 + 0.233895i 0.656910 0.753969i \(-0.271863\pi\)
−0.155320 + 0.987864i \(0.549641\pi\)
\(8\) −0.115769 + 0.0310202i −0.0409305 + 0.0109673i
\(9\) −2.75091 1.19686i −0.916971 0.398954i
\(10\) −1.39912 4.28251i −0.442442 1.35425i
\(11\) 1.86051 2.21727i 0.560965 0.668532i −0.408785 0.912631i \(-0.634047\pi\)
0.969751 + 0.244098i \(0.0784919\pi\)
\(12\) −3.03311 1.87741i −0.875584 0.541963i
\(13\) 5.02076 + 3.51558i 1.39251 + 0.975045i 0.998433 + 0.0559675i \(0.0178243\pi\)
0.394076 + 0.919078i \(0.371065\pi\)
\(14\) 0.512304 + 2.90542i 0.136919 + 0.776506i
\(15\) 1.85775 3.39835i 0.479670 0.877449i
\(16\) 2.97033 + 2.49240i 0.742582 + 0.623101i
\(17\) −3.10881 0.833002i −0.753996 0.202033i −0.138706 0.990334i \(-0.544294\pi\)
−0.615290 + 0.788301i \(0.710961\pi\)
\(18\) −1.20375 5.92337i −0.283726 1.39615i
\(19\) −3.51741 2.03078i −0.806949 0.465892i 0.0389464 0.999241i \(-0.487600\pi\)
−0.845895 + 0.533349i \(0.820933\pi\)
\(20\) 2.76550 3.68231i 0.618385 0.823389i
\(21\) −1.51769 + 2.03197i −0.331188 + 0.443411i
\(22\) 5.80958 + 0.508272i 1.23861 + 0.108364i
\(23\) −2.14034 4.58997i −0.446291 0.957074i −0.992818 0.119633i \(-0.961828\pi\)
0.546527 0.837441i \(-0.315949\pi\)
\(24\) −0.0117458 0.207259i −0.00239760 0.0423065i
\(25\) 4.15420 + 2.78256i 0.830840 + 0.556511i
\(26\) 12.3493i 2.42189i
\(27\) 3.00035 4.24239i 0.577418 0.816448i
\(28\) −2.13239 + 2.13239i −0.402983 + 0.402983i
\(29\) −0.368261 + 2.08851i −0.0683844 + 0.387827i 0.931336 + 0.364162i \(0.118645\pi\)
−0.999720 + 0.0236650i \(0.992466\pi\)
\(30\) 7.75568 0.861192i 1.41599 0.157231i
\(31\) −3.20394 1.16614i −0.575445 0.209445i 0.0378710 0.999283i \(-0.487942\pi\)
−0.613316 + 0.789838i \(0.710165\pi\)
\(32\) −0.701790 + 8.02150i −0.124060 + 1.41801i
\(33\) 3.10328 + 3.93739i 0.540211 + 0.685412i
\(34\) −2.21787 6.09356i −0.380362 1.04504i
\(35\) −2.43675 2.18694i −0.411886 0.369661i
\(36\) 4.25397 4.48075i 0.708995 0.746791i
\(37\) 3.04540 11.3656i 0.500661 1.86849i 0.00497757 0.999988i \(-0.498416\pi\)
0.495683 0.868503i \(-0.334918\pi\)
\(38\) −0.713220 8.15214i −0.115700 1.32245i
\(39\) −7.73328 + 7.27312i −1.23832 + 1.16463i
\(40\) 0.267850 + 0.00892031i 0.0423509 + 0.00141043i
\(41\) 0.839107 0.147957i 0.131046 0.0231070i −0.107740 0.994179i \(-0.534361\pi\)
0.238787 + 0.971072i \(0.423250\pi\)
\(42\) −5.10757 0.156621i −0.788114 0.0241671i
\(43\) −0.732994 + 0.0641287i −0.111781 + 0.00977953i −0.142909 0.989736i \(-0.545646\pi\)
0.0311282 + 0.999515i \(0.490090\pi\)
\(44\) 2.98053 + 5.16243i 0.449332 + 0.778266i
\(45\) 5.10702 + 4.34952i 0.761310 + 0.648389i
\(46\) 5.10199 8.83690i 0.752247 1.30293i
\(47\) −1.21825 + 2.61254i −0.177700 + 0.381078i −0.974902 0.222634i \(-0.928535\pi\)
0.797203 + 0.603712i \(0.206312\pi\)
\(48\) −5.27466 + 4.15725i −0.761332 + 0.600048i
\(49\) −3.12132 3.71984i −0.445902 0.531406i
\(50\) 0.208362 + 10.0719i 0.0294668 + 1.42439i
\(51\) 2.50966 4.97768i 0.351422 0.697015i
\(52\) −10.3402 + 7.24028i −1.43393 + 1.00405i
\(53\) 0.0757900 + 0.0757900i 0.0104106 + 0.0104106i 0.712293 0.701882i \(-0.247657\pi\)
−0.701882 + 0.712293i \(0.747657\pi\)
\(54\) 10.4692 + 0.0491845i 1.42467 + 0.00669316i
\(55\) −5.42232 + 3.53376i −0.731145 + 0.476492i
\(56\) −0.172831 0.0304748i −0.0230955 0.00407236i
\(57\) 4.68494 5.24785i 0.620536 0.695095i
\(58\) −3.87255 + 1.80580i −0.508491 + 0.237113i
\(59\) 2.89613 2.43014i 0.377044 0.316377i −0.434497 0.900673i \(-0.643074\pi\)
0.811540 + 0.584296i \(0.198629\pi\)
\(60\) 5.26819 + 5.98902i 0.680120 + 0.773180i
\(61\) −4.21993 + 1.53593i −0.540306 + 0.196655i −0.597734 0.801694i \(-0.703932\pi\)
0.0574282 + 0.998350i \(0.481710\pi\)
\(62\) −1.77799 6.63556i −0.225805 0.842717i
\(63\) −2.91003 3.29067i −0.366630 0.414586i
\(64\) −7.33402 + 4.23430i −0.916753 + 0.529287i
\(65\) −8.45529 10.7863i −1.04875 1.33788i
\(66\) −2.91213 + 9.67203i −0.358458 + 1.19054i
\(67\) −2.55795 + 3.65313i −0.312504 + 0.446301i −0.944423 0.328733i \(-0.893378\pi\)
0.631919 + 0.775034i \(0.282267\pi\)
\(68\) 3.80189 5.42967i 0.461047 0.658444i
\(69\) 8.53862 2.00957i 1.02793 0.241924i
\(70\) 0.793385 6.54906i 0.0948277 0.782762i
\(71\) −7.84988 + 4.53213i −0.931609 + 0.537865i −0.887320 0.461154i \(-0.847436\pi\)
−0.0442890 + 0.999019i \(0.514102\pi\)
\(72\) 0.355597 + 0.0532255i 0.0419075 + 0.00627268i
\(73\) 2.15667 + 8.04880i 0.252419 + 0.942041i 0.969508 + 0.245059i \(0.0788074\pi\)
−0.717089 + 0.696982i \(0.754526\pi\)
\(74\) 22.2777 8.10840i 2.58972 0.942583i
\(75\) −6.18448 + 6.06236i −0.714122 + 0.700022i
\(76\) 6.40774 5.37673i 0.735018 0.616754i
\(77\) 3.84116 1.79116i 0.437741 0.204122i
\(78\) −20.9408 4.35814i −2.37108 0.493462i
\(79\) −1.44073 0.254040i −0.162095 0.0285818i 0.0920115 0.995758i \(-0.470670\pi\)
−0.254107 + 0.967176i \(0.581781\pi\)
\(80\) −4.73394 7.26391i −0.529271 0.812130i
\(81\) 6.13505 + 6.58492i 0.681672 + 0.731658i
\(82\) 1.21391 + 1.21391i 0.134054 + 0.134054i
\(83\) −13.8441 + 9.69375i −1.51959 + 1.06403i −0.545431 + 0.838155i \(0.683634\pi\)
−0.974157 + 0.225872i \(0.927477\pi\)
\(84\) −2.86339 4.36846i −0.312421 0.476638i
\(85\) 6.10932 + 3.80382i 0.662649 + 0.412582i
\(86\) −0.952926 1.13565i −0.102757 0.122461i
\(87\) −3.41157 1.36152i −0.365758 0.145970i
\(88\) −0.146609 + 0.314404i −0.0156286 + 0.0335156i
\(89\) −3.05075 + 5.28406i −0.323379 + 0.560109i −0.981183 0.193080i \(-0.938152\pi\)
0.657804 + 0.753189i \(0.271486\pi\)
\(90\) −1.27670 + 13.4554i −0.134576 + 1.41832i
\(91\) 4.48742 + 7.77244i 0.470410 + 0.814774i
\(92\) 10.3905 0.909052i 1.08329 0.0947752i
\(93\) 3.10813 5.02144i 0.322299 0.520699i
\(94\) −5.71971 + 1.00854i −0.589943 + 0.104023i
\(95\) 6.20457 + 6.63207i 0.636575 + 0.680436i
\(96\) −13.3545 4.02088i −1.36299 0.410379i
\(97\) 1.41304 + 16.1512i 0.143473 + 1.63990i 0.637496 + 0.770453i \(0.279970\pi\)
−0.494023 + 0.869449i \(0.664474\pi\)
\(98\) 2.53222 9.45039i 0.255793 0.954633i
\(99\) −7.77187 + 3.87275i −0.781102 + 0.389226i
\(100\) −8.31119 + 6.07956i −0.831119 + 0.607956i
\(101\) −1.88053 5.16673i −0.187120 0.514108i 0.810290 0.586029i \(-0.199309\pi\)
−0.997410 + 0.0719204i \(0.977087\pi\)
\(102\) 11.1157 1.61043i 1.10061 0.159456i
\(103\) 0.342012 3.90922i 0.0336994 0.385186i −0.960551 0.278105i \(-0.910294\pi\)
0.994250 0.107082i \(-0.0341507\pi\)
\(104\) −0.690302 0.251249i −0.0676897 0.0246370i
\(105\) 4.56838 3.36025i 0.445828 0.327927i
\(106\) −0.0375001 + 0.212674i −0.00364233 + 0.0206567i
\(107\) 10.5329 10.5329i 1.01825 1.01825i 0.0184189 0.999830i \(-0.494137\pi\)
0.999830 0.0184189i \(-0.00586325\pi\)
\(108\) 6.09682 + 8.79481i 0.586667 + 0.846281i
\(109\) 9.91447i 0.949634i −0.880085 0.474817i \(-0.842514\pi\)
0.880085 0.474817i \(-0.157486\pi\)
\(110\) −12.0986 4.86542i −1.15355 0.463899i
\(111\) 18.1981 + 9.17513i 1.72729 + 0.870865i
\(112\) 2.39950 + 5.14574i 0.226731 + 0.486227i
\(113\) 15.1732 + 1.32748i 1.42737 + 0.124879i 0.774492 0.632583i \(-0.218005\pi\)
0.652879 + 0.757462i \(0.273561\pi\)
\(114\) 14.0754 + 1.66753i 1.31829 + 0.156178i
\(115\) 1.59418 + 11.2117i 0.148658 + 1.04550i
\(116\) −3.78247 2.18381i −0.351193 0.202762i
\(117\) −9.60403 15.6802i −0.887893 1.44963i
\(118\) 7.35771 + 1.97149i 0.677332 + 0.181491i
\(119\) −3.61015 3.02928i −0.330942 0.277693i
\(120\) −0.109653 + 0.451051i −0.0100099 + 0.0411751i
\(121\) 0.455341 + 2.58237i 0.0413946 + 0.234761i
\(122\) −7.41172 5.18974i −0.671026 0.469857i
\(123\) −0.0452332 + 1.47510i −0.00407854 + 0.133006i
\(124\) 4.51362 5.37912i 0.405335 0.483059i
\(125\) −7.07804 8.65455i −0.633080 0.774087i
\(126\) 2.06808 8.60571i 0.184239 0.766658i
\(127\) −9.62937 + 2.58018i −0.854468 + 0.228954i −0.659360 0.751828i \(-0.729173\pi\)
−0.195109 + 0.980782i \(0.562506\pi\)
\(128\) −0.868604 0.405037i −0.0767745 0.0358005i
\(129\) 0.149935 1.26558i 0.0132010 0.111428i
\(130\) 8.03081 26.4202i 0.704349 2.31720i
\(131\) 3.84111 10.5534i 0.335599 0.922051i −0.651028 0.759054i \(-0.725662\pi\)
0.986627 0.162997i \(-0.0521159\pi\)
\(132\) −9.80587 + 3.23228i −0.853492 + 0.281334i
\(133\) −3.41119 4.87168i −0.295787 0.422428i
\(134\) −8.98538 −0.776219
\(135\) −9.17786 + 7.12508i −0.789905 + 0.613230i
\(136\) 0.385743 0.0330772
\(137\) 11.2752 + 16.1027i 0.963306 + 1.37574i 0.926448 + 0.376424i \(0.122846\pi\)
0.0368588 + 0.999320i \(0.488265\pi\)
\(138\) 13.1844 + 11.7701i 1.12233 + 1.00194i
\(139\) −0.508611 + 1.39740i −0.0431398 + 0.118526i −0.959392 0.282076i \(-0.908977\pi\)
0.916252 + 0.400602i \(0.131199\pi\)
\(140\) 5.94876 3.17535i 0.502762 0.268366i
\(141\) −4.00020 2.98779i −0.336878 0.251617i
\(142\) −16.5517 7.71820i −1.38899 0.647697i
\(143\) 17.1362 4.59162i 1.43300 0.383971i
\(144\) −5.18806 10.4115i −0.432338 0.867621i
\(145\) 2.14604 4.22872i 0.178219 0.351176i
\(146\) −10.7917 + 12.8611i −0.893129 + 1.06439i
\(147\) 7.40933 3.98011i 0.611111 0.328274i
\(148\) 19.8505 + 13.8995i 1.63170 + 1.14253i
\(149\) −0.861743 4.88719i −0.0705968 0.400374i −0.999545 0.0301644i \(-0.990397\pi\)
0.928948 0.370210i \(-0.120714\pi\)
\(150\) −17.1527 3.20113i −1.40051 0.261371i
\(151\) −15.8833 13.3277i −1.29257 1.08459i −0.991379 0.131025i \(-0.958173\pi\)
−0.301186 0.953565i \(-0.597383\pi\)
\(152\) 0.470202 + 0.125990i 0.0381384 + 0.0102191i
\(153\) 7.55507 + 6.01232i 0.610791 + 0.486068i
\(154\) 7.39525 + 4.26965i 0.595926 + 0.344058i
\(155\) 6.09621 + 4.57840i 0.489659 + 0.367746i
\(156\) −8.62834 20.0892i −0.690820 1.60842i
\(157\) 6.76582 + 0.591932i 0.539971 + 0.0472413i 0.353879 0.935291i \(-0.384862\pi\)
0.186092 + 0.982532i \(0.440418\pi\)
\(158\) −1.24571 2.67143i −0.0991032 0.212528i
\(159\) −0.155265 + 0.101772i −0.0123133 + 0.00807101i
\(160\) 6.71786 16.7049i 0.531093 1.32064i
\(161\) 7.41576i 0.584444i
\(162\) −3.77805 + 17.7354i −0.296832 + 1.39343i
\(163\) 14.3864 14.3864i 1.12683 1.12683i 0.136142 0.990689i \(-0.456530\pi\)
0.990689 0.136142i \(-0.0434702\pi\)
\(164\) −0.304716 + 1.72813i −0.0237943 + 0.134944i
\(165\) −4.07869 10.4418i −0.317525 0.812893i
\(166\) −31.9979 11.6463i −2.48352 0.903928i
\(167\) 0.0411027 0.469806i 0.00318063 0.0363547i −0.994439 0.105319i \(-0.966414\pi\)
0.997619 + 0.0689639i \(0.0219693\pi\)
\(168\) 0.112670 0.282318i 0.00869266 0.0217813i
\(169\) 8.40252 + 23.0857i 0.646348 + 1.77583i
\(170\) 0.782268 + 14.4790i 0.0599972 + 1.11049i
\(171\) 7.24553 + 9.79634i 0.554079 + 0.749145i
\(172\) 0.392203 1.46372i 0.0299052 0.111608i
\(173\) 1.60708 + 18.3690i 0.122184 + 1.39657i 0.771586 + 0.636125i \(0.219464\pi\)
−0.649402 + 0.760446i \(0.724981\pi\)
\(174\) −1.69548 7.20403i −0.128534 0.546136i
\(175\) 3.79104 + 6.26342i 0.286576 + 0.473470i
\(176\) 11.0527 1.94888i 0.833126 0.146903i
\(177\) 3.09876 + 5.76862i 0.232917 + 0.433596i
\(178\) −12.2466 + 1.07144i −0.917925 + 0.0803080i
\(179\) 3.95796 + 6.85540i 0.295832 + 0.512396i 0.975178 0.221422i \(-0.0710697\pi\)
−0.679346 + 0.733818i \(0.737736\pi\)
\(180\) −12.0149 + 6.81979i −0.895536 + 0.508317i
\(181\) 9.86110 17.0799i 0.732970 1.26954i −0.222638 0.974901i \(-0.571467\pi\)
0.955608 0.294640i \(-0.0951998\pi\)
\(182\) −7.64207 + 16.3885i −0.566468 + 1.21479i
\(183\) −1.11526 7.69784i −0.0824421 0.569041i
\(184\) 0.390166 + 0.464982i 0.0287634 + 0.0342789i
\(185\) −13.9065 + 22.3353i −1.02243 + 1.64212i
\(186\) 11.8795 0.673238i 0.871048 0.0493642i
\(187\) −7.63096 + 5.34326i −0.558031 + 0.390738i
\(188\) −4.19789 4.19789i −0.306162 0.306162i
\(189\) 6.60703 3.77329i 0.480590 0.274467i
\(190\) −3.77553 + 17.9046i −0.273905 + 1.29894i
\(191\) −8.60644 1.51755i −0.622740 0.109806i −0.146630 0.989191i \(-0.546843\pi\)
−0.476110 + 0.879386i \(0.657954\pi\)
\(192\) −4.59195 13.9307i −0.331395 1.00536i
\(193\) −7.83132 + 3.65180i −0.563711 + 0.262863i −0.683517 0.729935i \(-0.739550\pi\)
0.119806 + 0.992797i \(0.461773\pi\)
\(194\) −25.0236 + 20.9973i −1.79659 + 1.50752i
\(195\) 21.2745 10.5312i 1.52350 0.754156i
\(196\) 9.39756 3.42043i 0.671254 0.244316i
\(197\) 0.519071 + 1.93720i 0.0369822 + 0.138020i 0.981949 0.189148i \(-0.0605725\pi\)
−0.944966 + 0.327167i \(0.893906\pi\)
\(198\) −15.3733 8.35147i −1.09253 0.593513i
\(199\) −15.5130 + 8.95641i −1.09968 + 0.634903i −0.936138 0.351633i \(-0.885627\pi\)
−0.163546 + 0.986536i \(0.552293\pi\)
\(200\) −0.567243 0.193269i −0.0401101 0.0136662i
\(201\) −5.29196 5.62678i −0.373266 0.396883i
\(202\) 6.35413 9.07464i 0.447075 0.638490i
\(203\) −1.78114 + 2.54374i −0.125012 + 0.178535i
\(204\) 7.86546 + 8.36310i 0.550693 + 0.585534i
\(205\) −1.89142 0.229136i −0.132102 0.0160035i
\(206\) 6.84718 3.95322i 0.477065 0.275434i
\(207\) 0.394328 + 15.1883i 0.0274077 + 1.05566i
\(208\) 6.15109 + 22.9562i 0.426501 + 1.59172i
\(209\) −11.0470 + 4.02077i −0.764134 + 0.278122i
\(210\) 10.8254 + 3.65656i 0.747020 + 0.252327i
\(211\) −8.17709 + 6.86139i −0.562934 + 0.472358i −0.879293 0.476282i \(-0.841984\pi\)
0.316359 + 0.948640i \(0.397540\pi\)
\(212\) −0.200061 + 0.0932898i −0.0137402 + 0.00640717i
\(213\) −4.91493 14.9106i −0.336766 1.02166i
\(214\) 29.5562 + 5.21155i 2.02042 + 0.356254i
\(215\) 1.60988 + 0.339474i 0.109793 + 0.0231519i
\(216\) −0.215748 + 0.584208i −0.0146798 + 0.0397503i
\(217\) −3.53025 3.53025i −0.239649 0.239649i
\(218\) 16.3632 11.4577i 1.10826 0.776011i
\(219\) −14.4096 + 0.816623i −0.973710 + 0.0551823i
\(220\) −3.01943 12.9828i −0.203570 0.875303i
\(221\) −12.6801 15.1115i −0.852955 1.01651i
\(222\) 5.88762 + 40.6381i 0.395151 + 2.72745i
\(223\) 5.05016 10.8301i 0.338184 0.725238i −0.661511 0.749936i \(-0.730084\pi\)
0.999695 + 0.0246975i \(0.00786226\pi\)
\(224\) −5.89526 + 10.2109i −0.393894 + 0.682244i
\(225\) −8.09751 12.6266i −0.539834 0.841771i
\(226\) 15.3440 + 26.5765i 1.02067 + 1.76784i
\(227\) −1.15273 + 0.100851i −0.0765092 + 0.00669369i −0.125346 0.992113i \(-0.540004\pi\)
0.0488368 + 0.998807i \(0.484449\pi\)
\(228\) 6.85608 + 12.7632i 0.454055 + 0.845264i
\(229\) 8.62548 1.52090i 0.569988 0.100504i 0.118776 0.992921i \(-0.462103\pi\)
0.451212 + 0.892417i \(0.350992\pi\)
\(230\) −16.6620 + 15.5879i −1.09866 + 1.02784i
\(231\) 1.68173 + 7.14564i 0.110650 + 0.470148i
\(232\) −0.0221529 0.253208i −0.00145441 0.0166240i
\(233\) −4.23498 + 15.8052i −0.277443 + 1.03543i 0.676743 + 0.736219i \(0.263391\pi\)
−0.954186 + 0.299213i \(0.903276\pi\)
\(234\) 14.7803 33.9717i 0.966221 2.22080i
\(235\) 4.30529 4.79707i 0.280846 0.312927i
\(236\) 2.66302 + 7.31658i 0.173348 + 0.476269i
\(237\) 0.939226 2.35343i 0.0610093 0.152871i
\(238\) 0.827567 9.45913i 0.0536432 0.613145i
\(239\) 8.07123 + 2.93769i 0.522085 + 0.190023i 0.589601 0.807695i \(-0.299285\pi\)
−0.0675160 + 0.997718i \(0.521507\pi\)
\(240\) 13.9882 5.46394i 0.902933 0.352696i
\(241\) 0.358872 2.03527i 0.0231170 0.131103i −0.971065 0.238815i \(-0.923241\pi\)
0.994182 + 0.107712i \(0.0343523\pi\)
\(242\) −3.73583 + 3.73583i −0.240148 + 0.240148i
\(243\) −13.3313 + 8.07944i −0.855201 + 0.518296i
\(244\) 9.24864i 0.592083i
\(245\) 4.25875 + 9.98810i 0.272082 + 0.638116i
\(246\) −2.48684 + 1.63005i −0.158555 + 0.103928i
\(247\) −10.5207 22.5618i −0.669417 1.43557i
\(248\) 0.407090 + 0.0356158i 0.0258503 + 0.00226161i
\(249\) −11.5522 26.8967i −0.732089 1.70451i
\(250\) 6.10408 21.6835i 0.386056 1.37139i
\(251\) 9.55376 + 5.51587i 0.603028 + 0.348158i 0.770232 0.637764i \(-0.220140\pi\)
−0.167204 + 0.985922i \(0.553474\pi\)
\(252\) 8.41818 3.31384i 0.530295 0.208752i
\(253\) −14.1593 3.79398i −0.890189 0.238525i
\(254\) −15.3866 12.9109i −0.965443 0.810103i
\(255\) −8.60622 + 9.01729i −0.538942 + 0.564684i
\(256\) 2.60580 + 14.7782i 0.162862 + 0.923639i
\(257\) −4.73079 3.31253i −0.295098 0.206630i 0.416646 0.909069i \(-0.363206\pi\)
−0.711744 + 0.702439i \(0.752094\pi\)
\(258\) 2.26204 1.21511i 0.140829 0.0756496i
\(259\) 11.0748 13.1985i 0.688157 0.820114i
\(260\) 26.8304 8.76566i 1.66395 0.543623i
\(261\) 3.51272 5.30456i 0.217432 0.328344i
\(262\) 21.8567 5.85647i 1.35031 0.361814i
\(263\) −16.7213 7.79728i −1.03108 0.480801i −0.167958 0.985794i \(-0.553717\pi\)
−0.863123 + 0.504993i \(0.831495\pi\)
\(264\) −0.481402 0.359563i −0.0296282 0.0221296i
\(265\) −0.112860 0.211433i −0.00693291 0.0129882i
\(266\) 4.09828 11.2599i 0.251281 0.690390i
\(267\) −7.88364 7.03800i −0.482471 0.430719i
\(268\) −5.26807 7.52358i −0.321798 0.459576i
\(269\) 15.7262 0.958842 0.479421 0.877585i \(-0.340847\pi\)
0.479421 + 0.877585i \(0.340847\pi\)
\(270\) −22.3659 6.91341i −1.36115 0.420737i
\(271\) −17.4326 −1.05895 −0.529477 0.848324i \(-0.677612\pi\)
−0.529477 + 0.848324i \(0.677612\pi\)
\(272\) −7.15800 10.2227i −0.434018 0.619841i
\(273\) −14.7635 + 4.86645i −0.893528 + 0.294531i
\(274\) −13.5463 + 37.2181i −0.818362 + 2.24843i
\(275\) 13.8986 4.03401i 0.838118 0.243260i
\(276\) −2.12539 + 17.9402i −0.127933 + 1.07987i
\(277\) 13.9179 + 6.49002i 0.836245 + 0.389947i 0.793078 0.609120i \(-0.208477\pi\)
0.0431672 + 0.999068i \(0.486255\pi\)
\(278\) −2.89410 + 0.775471i −0.173576 + 0.0465097i
\(279\) 7.41806 + 7.04262i 0.444107 + 0.421630i
\(280\) 0.349939 + 0.177591i 0.0209129 + 0.0106131i
\(281\) 4.76302 5.67634i 0.284138 0.338622i −0.605031 0.796202i \(-0.706839\pi\)
0.889168 + 0.457580i \(0.151284\pi\)
\(282\) 0.308329 10.0549i 0.0183607 0.598763i
\(283\) −11.7772 8.24647i −0.700081 0.490202i 0.168530 0.985696i \(-0.446098\pi\)
−0.868611 + 0.495495i \(0.834987\pi\)
\(284\) −3.24161 18.3841i −0.192354 1.09090i
\(285\) −13.4358 + 8.18069i −0.795865 + 0.484582i
\(286\) 27.3816 + 22.9759i 1.61911 + 1.35859i
\(287\) 1.20512 + 0.322912i 0.0711362 + 0.0190609i
\(288\) 11.5312 21.2265i 0.679481 1.25078i
\(289\) −5.75165 3.32072i −0.338332 0.195336i
\(290\) 9.45932 1.34501i 0.555470 0.0789816i
\(291\) −27.8865 3.30374i −1.63473 0.193668i
\(292\) −17.0958 1.49569i −1.00046 0.0875288i
\(293\) −8.51297 18.2561i −0.497333 1.06653i −0.981483 0.191549i \(-0.938649\pi\)
0.484150 0.874985i \(-0.339129\pi\)
\(294\) 15.1315 + 7.62904i 0.882490 + 0.444935i
\(295\) −7.77636 + 3.31570i −0.452757 + 0.193048i
\(296\) 1.41025i 0.0819691i
\(297\) −3.82434 14.5456i −0.221910 0.844022i
\(298\) 7.07014 7.07014i 0.409562 0.409562i
\(299\) 5.39025 30.5696i 0.311726 1.76789i
\(300\) −7.37614 16.2390i −0.425862 0.937557i
\(301\) −1.01243 0.368493i −0.0583553 0.0212396i
\(302\) 3.64098 41.6166i 0.209515 2.39477i
\(303\) 9.42496 1.36548i 0.541450 0.0784448i
\(304\) −5.38635 14.7989i −0.308928 0.848774i
\(305\) 10.0270 0.541738i 0.574144 0.0310198i
\(306\) −1.19196 + 19.4173i −0.0681401 + 1.11002i
\(307\) −3.09276 + 11.5423i −0.176513 + 0.658756i 0.819776 + 0.572684i \(0.194098\pi\)
−0.996289 + 0.0860714i \(0.972569\pi\)
\(308\) 0.760749 + 8.69540i 0.0433477 + 0.495467i
\(309\) 6.50822 + 1.95955i 0.370240 + 0.111475i
\(310\) −0.511289 + 15.3525i −0.0290392 + 0.871962i
\(311\) 2.38442 0.420438i 0.135208 0.0238408i −0.105634 0.994405i \(-0.533687\pi\)
0.240843 + 0.970564i \(0.422576\pi\)
\(312\) 0.669660 1.08189i 0.0379120 0.0612499i
\(313\) 12.2121 1.06842i 0.690267 0.0603905i 0.263375 0.964693i \(-0.415164\pi\)
0.426891 + 0.904303i \(0.359609\pi\)
\(314\) 6.84198 + 11.8506i 0.386115 + 0.668771i
\(315\) 4.08582 + 8.93254i 0.230210 + 0.503292i
\(316\) 1.50647 2.60929i 0.0847457 0.146784i
\(317\) −9.58656 + 20.5585i −0.538435 + 1.15468i 0.429405 + 0.903112i \(0.358723\pi\)
−0.967840 + 0.251566i \(0.919055\pi\)
\(318\) −0.347401 0.138644i −0.0194813 0.00777475i
\(319\) 3.94565 + 4.70224i 0.220914 + 0.263275i
\(320\) 18.4441 4.28956i 1.03106 0.239794i
\(321\) 14.1436 + 21.5779i 0.789420 + 1.20436i
\(322\) 12.2393 8.57003i 0.682068 0.477589i
\(323\) 9.24330 + 9.24330i 0.514311 + 0.514311i
\(324\) −17.0651 + 7.23473i −0.948063 + 0.401930i
\(325\) 11.0750 + 28.5750i 0.614329 + 1.58505i
\(326\) 40.3696 + 7.11825i 2.23587 + 0.394243i
\(327\) 16.8121 + 3.49889i 0.929713 + 0.193489i
\(328\) −0.0925528 + 0.0431581i −0.00511038 + 0.00238301i
\(329\) −3.23343 + 2.71317i −0.178265 + 0.149582i
\(330\) 12.5200 18.7987i 0.689206 1.03484i
\(331\) 15.3336 5.58098i 0.842812 0.306758i 0.115706 0.993284i \(-0.463087\pi\)
0.727106 + 0.686525i \(0.240865\pi\)
\(332\) −9.00856 33.6204i −0.494409 1.84516i
\(333\) −21.9807 + 27.6208i −1.20453 + 1.51361i
\(334\) 0.822888 0.475095i 0.0450264 0.0259960i
\(335\) 7.84818 6.15212i 0.428792 0.336126i
\(336\) −9.57253 + 2.25290i −0.522224 + 0.122906i
\(337\) 2.30026 3.28511i 0.125303 0.178951i −0.751599 0.659620i \(-0.770717\pi\)
0.876902 + 0.480669i \(0.159606\pi\)
\(338\) −28.3913 + 40.5469i −1.54428 + 2.20546i
\(339\) −7.60575 + 25.2609i −0.413088 + 1.37198i
\(340\) −11.6648 + 9.14391i −0.632612 + 0.495898i
\(341\) −8.54661 + 4.93439i −0.462825 + 0.267212i
\(342\) −7.79498 + 23.2795i −0.421504 + 1.25881i
\(343\) −4.49317 16.7687i −0.242608 0.905427i
\(344\) 0.0828686 0.0301617i 0.00446798 0.00162621i
\(345\) −19.5745 1.25342i −1.05386 0.0674817i
\(346\) −28.4598 + 23.8806i −1.53001 + 1.28383i
\(347\) 11.2479 5.24496i 0.603816 0.281564i −0.0965722 0.995326i \(-0.530788\pi\)
0.700389 + 0.713762i \(0.253010\pi\)
\(348\) 5.03798 5.64331i 0.270064 0.302513i
\(349\) 7.52479 + 1.32682i 0.402793 + 0.0710232i 0.371375 0.928483i \(-0.378887\pi\)
0.0314181 + 0.999506i \(0.489998\pi\)
\(350\) −5.95628 + 13.4952i −0.318377 + 0.721349i
\(351\) 29.9785 10.7521i 1.60013 0.573902i
\(352\) 16.4801 + 16.4801i 0.878395 + 0.878395i
\(353\) 14.6661 10.2693i 0.780595 0.546579i −0.113987 0.993482i \(-0.536362\pi\)
0.894582 + 0.446904i \(0.147473\pi\)
\(354\) −5.93968 + 11.7808i −0.315691 + 0.626145i
\(355\) 19.7414 4.59127i 1.04777 0.243680i
\(356\) −8.07725 9.62609i −0.428093 0.510182i
\(357\) 6.41085 5.05275i 0.339298 0.267420i
\(358\) −6.74040 + 14.4548i −0.356241 + 0.763962i
\(359\) −6.26521 + 10.8517i −0.330665 + 0.572729i −0.982642 0.185510i \(-0.940606\pi\)
0.651977 + 0.758239i \(0.273940\pi\)
\(360\) −0.726157 0.345119i −0.0382718 0.0181894i
\(361\) −1.25189 2.16834i −0.0658891 0.114123i
\(362\) 39.5854 3.46328i 2.08056 0.182026i
\(363\) −4.53966 0.139206i −0.238270 0.00730642i
\(364\) −18.2028 + 3.20964i −0.954084 + 0.168231i
\(365\) 0.620182 18.6222i 0.0324618 0.974732i
\(366\) 11.4160 10.7367i 0.596723 0.561215i
\(367\) −1.19292 13.6352i −0.0622701 0.711750i −0.961596 0.274470i \(-0.911497\pi\)
0.899325 0.437280i \(-0.144058\pi\)
\(368\) 5.08254 18.9683i 0.264946 0.988790i
\(369\) −2.48539 0.597277i −0.129384 0.0310930i
\(370\) −52.9341 + 2.85992i −2.75191 + 0.148680i
\(371\) 0.0536785 + 0.147481i 0.00278685 + 0.00765681i
\(372\) 7.52858 + 9.55215i 0.390339 + 0.495256i
\(373\) −1.05518 + 12.0608i −0.0546353 + 0.624485i 0.918678 + 0.395006i \(0.129258\pi\)
−0.973314 + 0.229478i \(0.926298\pi\)
\(374\) −17.6375 6.41951i −0.912011 0.331945i
\(375\) 17.1736 8.94811i 0.886839 0.462078i
\(376\) 0.0599937 0.340241i 0.00309394 0.0175466i
\(377\) −9.19128 + 9.19128i −0.473375 + 0.473375i
\(378\) 13.8630 + 6.54389i 0.713037 + 0.336582i
\(379\) 22.5213i 1.15684i −0.815738 0.578421i \(-0.803669\pi\)
0.815738 0.578421i \(-0.196331\pi\)
\(380\) −17.2054 + 7.33607i −0.882616 + 0.376332i
\(381\) −0.976986 17.2393i −0.0500525 0.883194i
\(382\) −7.44142 15.9582i −0.380736 0.816491i
\(383\) −14.4118 1.26087i −0.736410 0.0644275i −0.287221 0.957864i \(-0.592731\pi\)
−0.449189 + 0.893437i \(0.648287\pi\)
\(384\) 0.993364 1.32997i 0.0506924 0.0678695i
\(385\) −9.38265 + 1.33411i −0.478184 + 0.0679923i
\(386\) −15.0774 8.70492i −0.767417 0.443069i
\(387\) 2.09316 + 0.700880i 0.106401 + 0.0356277i
\(388\) −32.2524 8.64201i −1.63737 0.438731i
\(389\) 9.68308 + 8.12507i 0.490951 + 0.411957i 0.854367 0.519670i \(-0.173945\pi\)
−0.363416 + 0.931627i \(0.618390\pi\)
\(390\) 41.9670 + 22.9419i 2.12508 + 1.16171i
\(391\) 2.83044 + 16.0522i 0.143141 + 0.811795i
\(392\) 0.476742 + 0.333818i 0.0240791 + 0.0168604i
\(393\) 16.5399 + 10.2378i 0.834330 + 0.516428i
\(394\) −2.59737 + 3.09542i −0.130853 + 0.155945i
\(395\) 2.91713 + 1.48042i 0.146777 + 0.0744879i
\(396\) −2.02047 17.7687i −0.101532 0.892910i
\(397\) −14.5205 + 3.89075i −0.728761 + 0.195271i −0.604077 0.796926i \(-0.706458\pi\)
−0.124684 + 0.992197i \(0.539792\pi\)
\(398\) −32.7096 15.2527i −1.63958 0.764550i
\(399\) 9.46482 4.06516i 0.473834 0.203512i
\(400\) 5.40409 + 18.6190i 0.270205 + 0.930952i
\(401\) −8.96818 + 24.6399i −0.447849 + 1.23046i 0.486369 + 0.873754i \(0.338321\pi\)
−0.934218 + 0.356703i \(0.883901\pi\)
\(402\) 3.17101 15.2367i 0.158155 0.759936i
\(403\) −11.9866 17.1186i −0.597094 0.852738i
\(404\) 11.3237 0.563375
\(405\) −8.84319 18.0776i −0.439422 0.898281i
\(406\) −6.25667 −0.310513
\(407\) −19.5346 27.8983i −0.968294 1.38287i
\(408\) −0.136131 + 0.654111i −0.00673951 + 0.0323833i
\(409\) 2.57831 7.08384i 0.127489 0.350273i −0.859483 0.511164i \(-0.829214\pi\)
0.986972 + 0.160891i \(0.0514367\pi\)
\(410\) −1.80764 3.38647i −0.0892731 0.167246i
\(411\) −31.2847 + 13.4368i −1.54316 + 0.662790i
\(412\) 7.32453 + 3.41549i 0.360854 + 0.168269i
\(413\) 5.34723 1.43279i 0.263120 0.0705028i
\(414\) −24.6117 + 18.2032i −1.20960 + 0.894637i
\(415\) 35.9222 11.7360i 1.76335 0.576099i
\(416\) −31.7237 + 37.8068i −1.55538 + 1.85363i
\(417\) −2.19010 1.35561i −0.107250 0.0663846i
\(418\) −19.4025 13.5858i −0.949006 0.664501i
\(419\) −3.59622 20.3952i −0.175687 0.996370i −0.937348 0.348394i \(-0.886727\pi\)
0.761661 0.647975i \(-0.224384\pi\)
\(420\) 3.28514 + 11.2080i 0.160298 + 0.546896i
\(421\) −5.26964 4.42176i −0.256827 0.215503i 0.505279 0.862956i \(-0.331390\pi\)
−0.762105 + 0.647453i \(0.775834\pi\)
\(422\) −20.7742 5.56643i −1.01127 0.270969i
\(423\) 6.47814 5.72880i 0.314978 0.278544i
\(424\) −0.0111251 0.00642311i −0.000540285 0.000311934i
\(425\) −10.5967 12.1109i −0.514017 0.587464i
\(426\) 18.9291 25.3433i 0.917118 1.22788i
\(427\) −6.55066 0.573108i −0.317009 0.0277347i
\(428\) 12.9649 + 27.8032i 0.626680 + 1.34392i
\(429\) 1.73862 + 30.6785i 0.0839413 + 1.48117i
\(430\) 1.30018 + 3.04933i 0.0627003 + 0.147052i
\(431\) 2.91928i 0.140617i 0.997525 + 0.0703084i \(0.0223983\pi\)
−0.997525 + 0.0703084i \(0.977602\pi\)
\(432\) 19.4858 5.12321i 0.937510 0.246490i
\(433\) 3.01763 3.01763i 0.145018 0.145018i −0.630870 0.775888i \(-0.717302\pi\)
0.775888 + 0.630870i \(0.217302\pi\)
\(434\) 1.74673 9.90621i 0.0838458 0.475513i
\(435\) 6.41335 + 5.13142i 0.307497 + 0.246033i
\(436\) 19.1873 + 6.98361i 0.918905 + 0.334454i
\(437\) −1.79276 + 20.4913i −0.0857593 + 0.980233i
\(438\) −18.0003 22.8385i −0.860085 1.09126i
\(439\) 1.28129 + 3.52030i 0.0611524 + 0.168015i 0.966506 0.256643i \(-0.0826165\pi\)
−0.905354 + 0.424658i \(0.860394\pi\)
\(440\) 0.518118 0.577301i 0.0247003 0.0275217i
\(441\) 4.13434 + 13.9687i 0.196873 + 0.665178i
\(442\) 10.2870 38.3914i 0.489300 1.82609i
\(443\) 2.43927 + 27.8809i 0.115893 + 1.32466i 0.802070 + 0.597229i \(0.203732\pi\)
−0.686177 + 0.727434i \(0.740713\pi\)
\(444\) −30.5749 + 28.7556i −1.45102 + 1.36468i
\(445\) 9.96310 9.32088i 0.472296 0.441852i
\(446\) 23.7107 4.18083i 1.12273 0.197968i
\(447\) 8.59141 + 0.263451i 0.406360 + 0.0124608i
\(448\) −12.3531 + 1.08076i −0.583631 + 0.0510611i
\(449\) −4.77256 8.26631i −0.225231 0.390111i 0.731158 0.682208i \(-0.238980\pi\)
−0.956389 + 0.292097i \(0.905647\pi\)
\(450\) 11.4815 27.9564i 0.541244 1.31788i
\(451\) 1.23311 2.13580i 0.0580647 0.100571i
\(452\) −13.2568 + 28.4293i −0.623548 + 1.33720i
\(453\) 28.2053 22.2302i 1.32520 1.04446i
\(454\) −1.49860 1.78596i −0.0703328 0.0838193i
\(455\) −4.54598 19.5467i −0.213119 0.916363i
\(456\) −0.379581 + 0.752866i −0.0177755 + 0.0352562i
\(457\) −29.0265 + 20.3246i −1.35780 + 0.950745i −0.357949 + 0.933741i \(0.616524\pi\)
−0.999855 + 0.0170039i \(0.994587\pi\)
\(458\) 12.4782 + 12.4782i 0.583068 + 0.583068i
\(459\) −12.8614 + 10.6895i −0.600321 + 0.498942i
\(460\) −22.8208 4.81219i −1.06402 0.224369i
\(461\) 24.4088 + 4.30393i 1.13683 + 0.200454i 0.710219 0.703981i \(-0.248596\pi\)
0.426612 + 0.904435i \(0.359707\pi\)
\(462\) −9.84995 + 11.0335i −0.458261 + 0.513323i
\(463\) −4.90609 + 2.28775i −0.228005 + 0.106321i −0.533264 0.845949i \(-0.679035\pi\)
0.305259 + 0.952269i \(0.401257\pi\)
\(464\) −6.29927 + 5.28572i −0.292436 + 0.245383i
\(465\) −9.91507 + 8.72170i −0.459800 + 0.404459i
\(466\) −30.9797 + 11.2757i −1.43511 + 0.522336i
\(467\) 10.5998 + 39.5591i 0.490502 + 1.83058i 0.553891 + 0.832589i \(0.313143\pi\)
−0.0633888 + 0.997989i \(0.520191\pi\)
\(468\) 37.1106 7.54161i 1.71544 0.348611i
\(469\) −5.65527 + 3.26507i −0.261136 + 0.150767i
\(470\) 12.8927 + 1.56189i 0.594696 + 0.0720444i
\(471\) −3.39145 + 11.2640i −0.156270 + 0.519018i
\(472\) −0.259898 + 0.371173i −0.0119628 + 0.0170846i
\(473\) −1.22155 + 1.74456i −0.0561671 + 0.0802149i
\(474\) 4.96961 1.16960i 0.228262 0.0537216i
\(475\) −8.96127 18.2236i −0.411171 0.836158i
\(476\) 8.40545 4.85289i 0.385263 0.222432i
\(477\) −0.117782 0.299202i −0.00539285 0.0136995i
\(478\) 4.47905 + 16.7160i 0.204867 + 0.764574i
\(479\) 25.9636 9.44996i 1.18631 0.431780i 0.327880 0.944719i \(-0.393666\pi\)
0.858425 + 0.512940i \(0.171444\pi\)
\(480\) 25.9561 + 17.2869i 1.18473 + 0.789034i
\(481\) 55.2468 46.3576i 2.51904 2.11372i
\(482\) 3.77382 1.75976i 0.171893 0.0801549i
\(483\) 12.5750 + 2.61707i 0.572184 + 0.119081i
\(484\) −5.31835 0.937769i −0.241743 0.0426258i
\(485\) 7.48013 35.4730i 0.339655 1.61074i
\(486\) −28.7409 12.6655i −1.30372 0.574517i
\(487\) 28.3122 + 28.3122i 1.28295 + 1.28295i 0.938981 + 0.343969i \(0.111772\pi\)
0.343969 + 0.938981i \(0.388228\pi\)
\(488\) 0.440891 0.308715i 0.0199582 0.0139749i
\(489\) 19.3182 + 29.4724i 0.873600 + 1.33279i
\(490\) −11.5631 + 18.5716i −0.522369 + 0.838979i
\(491\) 15.4259 + 18.3839i 0.696161 + 0.829652i 0.992086 0.125559i \(-0.0400724\pi\)
−0.295925 + 0.955211i \(0.595628\pi\)
\(492\) −2.82288 1.12658i −0.127265 0.0507902i
\(493\) 2.88459 6.18602i 0.129915 0.278604i
\(494\) 25.0786 43.4374i 1.12834 1.95434i
\(495\) 19.1457 3.23131i 0.860537 0.145237i
\(496\) −6.61027 11.4493i −0.296810 0.514090i
\(497\) −13.2220 + 1.15678i −0.593089 + 0.0518886i
\(498\) 31.0411 50.1494i 1.39099 2.24725i
\(499\) 31.1017 5.48406i 1.39230 0.245500i 0.573325 0.819328i \(-0.305653\pi\)
0.818976 + 0.573828i \(0.194542\pi\)
\(500\) 21.7347 7.60188i 0.972005 0.339966i
\(501\) 0.782153 + 0.235497i 0.0349440 + 0.0105212i
\(502\) 1.93720 + 22.1423i 0.0864616 + 0.988261i
\(503\) −0.730168 + 2.72503i −0.0325566 + 0.121503i −0.980292 0.197555i \(-0.936700\pi\)
0.947735 + 0.319058i \(0.103366\pi\)
\(504\) 0.438969 + 0.290688i 0.0195532 + 0.0129483i
\(505\) 0.663284 + 12.2767i 0.0295158 + 0.546306i
\(506\) −10.1015 27.7536i −0.449066 1.23380i
\(507\) −42.1122 + 6.10118i −1.87027 + 0.270963i
\(508\) 1.78941 20.4530i 0.0793920 0.907455i
\(509\) −20.7599 7.55598i −0.920166 0.334913i −0.161861 0.986814i \(-0.551750\pi\)
−0.758304 + 0.651901i \(0.773972\pi\)
\(510\) −24.8283 3.78322i −1.09942 0.167524i
\(511\) −2.11875 + 12.0160i −0.0937279 + 0.531557i
\(512\) −22.7346 + 22.7346i −1.00474 + 1.00474i
\(513\) −19.1688 + 8.82917i −0.846324 + 0.389817i
\(514\) 11.6360i 0.513243i
\(515\) −3.27390 + 8.14102i −0.144265 + 0.358736i
\(516\) 2.34365 + 1.18162i 0.103173 + 0.0520181i
\(517\) 3.52615 + 7.56184i 0.155080 + 0.332569i
\(518\) 34.5820 + 3.02553i 1.51944 + 0.132934i
\(519\) −31.7158 3.75740i −1.39217 0.164932i
\(520\) 1.31345 + 0.986435i 0.0575987 + 0.0432581i
\(521\) −7.62484 4.40220i −0.334050 0.192864i 0.323588 0.946198i \(-0.395111\pi\)
−0.657638 + 0.753334i \(0.728444\pi\)
\(522\) 12.8143 0.332694i 0.560868 0.0145616i
\(523\) 1.24254 + 0.332937i 0.0543324 + 0.0145583i 0.285883 0.958265i \(-0.407713\pi\)
−0.231550 + 0.972823i \(0.574380\pi\)
\(524\) 17.7181 + 14.8673i 0.774019 + 0.649479i
\(525\) −11.9589 + 4.21812i −0.521928 + 0.184094i
\(526\) −6.45507 36.6085i −0.281454 1.59621i
\(527\) 8.98903 + 6.29419i 0.391568 + 0.274179i
\(528\) −0.595809 + 19.4300i −0.0259293 + 0.845581i
\(529\) −1.70263 + 2.02911i −0.0740274 + 0.0882224i
\(530\) 0.218532 0.430611i 0.00949241 0.0187046i
\(531\) −10.8755 + 3.21884i −0.471958 + 0.139686i
\(532\) 11.8309 3.17007i 0.512933 0.137440i
\(533\) 4.73311 + 2.20709i 0.205014 + 0.0955995i
\(534\) 2.50506 21.1450i 0.108405 0.915032i
\(535\) −29.3837 + 15.6846i −1.27037 + 0.678103i
\(536\) 0.182810 0.502268i 0.00789621 0.0216947i
\(537\) −13.0216 + 4.29227i −0.561924 + 0.185225i
\(538\) 18.1740 + 25.9551i 0.783535 + 1.11900i
\(539\) −14.0551 −0.605398
\(540\) −7.32430 22.7806i −0.315188 0.980320i
\(541\) −9.16794 −0.394160 −0.197080 0.980387i \(-0.563146\pi\)
−0.197080 + 0.980387i \(0.563146\pi\)
\(542\) −20.1460 28.7714i −0.865344 1.23584i
\(543\) 25.4827 + 22.7493i 1.09357 + 0.976265i
\(544\) 8.86365 24.3527i 0.380026 1.04411i
\(545\) −6.44745 + 21.2112i −0.276179 + 0.908587i
\(546\) −25.0933 18.7424i −1.07389 0.802100i
\(547\) 4.18752 + 1.95267i 0.179046 + 0.0834904i 0.510074 0.860130i \(-0.329618\pi\)
−0.331029 + 0.943621i \(0.607396\pi\)
\(548\) −39.1053 + 10.4782i −1.67050 + 0.447608i
\(549\) 13.4469 + 0.825461i 0.573901 + 0.0352298i
\(550\) 22.7199 + 18.2769i 0.968778 + 0.779331i
\(551\) 5.53663 6.59830i 0.235868 0.281097i
\(552\) −0.926170 + 0.497516i −0.0394204 + 0.0211757i
\(553\) −1.75476 1.22870i −0.0746202 0.0522496i
\(554\) 5.37283 + 30.4709i 0.228270 + 1.29458i
\(555\) −32.9666 31.4638i −1.39935 1.33556i
\(556\) −2.34610 1.96861i −0.0994968 0.0834878i
\(557\) 9.73354 + 2.60809i 0.412423 + 0.110509i 0.459064 0.888403i \(-0.348185\pi\)
−0.0466405 + 0.998912i \(0.514852\pi\)
\(558\) −3.05074 + 20.3819i −0.129148 + 0.862833i
\(559\) −3.90564 2.25492i −0.165191 0.0953730i
\(560\) −1.78721 12.5693i −0.0755235 0.531150i
\(561\) −6.36763 14.8256i −0.268842 0.625938i
\(562\) 14.8729 + 1.30121i 0.627373 + 0.0548881i
\(563\) 6.99817 + 15.0076i 0.294938 + 0.632496i 0.996810 0.0798064i \(-0.0254302\pi\)
−0.701873 + 0.712302i \(0.747652\pi\)
\(564\) 8.59990 5.63697i 0.362121 0.237359i
\(565\) −31.5984 12.7073i −1.32936 0.534598i
\(566\) 28.9676i 1.21760i
\(567\) 4.06677 + 12.5353i 0.170788 + 0.526432i
\(568\) 0.768184 0.768184i 0.0322323 0.0322323i
\(569\) −1.89828 + 10.7657i −0.0795799 + 0.451320i 0.918815 + 0.394688i \(0.129147\pi\)
−0.998395 + 0.0566320i \(0.981964\pi\)
\(570\) −29.0288 12.7209i −1.21588 0.532820i
\(571\) 15.2515 + 5.55110i 0.638256 + 0.232306i 0.640821 0.767691i \(-0.278594\pi\)
−0.00256475 + 0.999997i \(0.500816\pi\)
\(572\) −3.18438 + 36.3976i −0.133146 + 1.52186i
\(573\) 5.61060 14.0585i 0.234386 0.587304i
\(574\) 0.859755 + 2.36216i 0.0358855 + 0.0985946i
\(575\) 3.88045 25.0232i 0.161826 1.04354i
\(576\) 25.2431 2.87039i 1.05180 0.119599i
\(577\) −4.56140 + 17.0234i −0.189894 + 0.708693i 0.803636 + 0.595121i \(0.202896\pi\)
−0.993530 + 0.113572i \(0.963771\pi\)
\(578\) −1.16625 13.3304i −0.0485098 0.554469i
\(579\) −3.42870 14.5684i −0.142492 0.605444i
\(580\) 6.67212 + 7.13184i 0.277045 + 0.296134i
\(581\) −24.3710 + 4.29727i −1.01108 + 0.178281i
\(582\) −26.7744 49.8430i −1.10984 2.06606i
\(583\) 0.309055 0.0270388i 0.0127998 0.00111983i
\(584\) −0.499351 0.864901i −0.0206633 0.0357898i
\(585\) 10.3501 + 39.7920i 0.427922 + 1.64520i
\(586\) 20.2926 35.1479i 0.838280 1.45194i
\(587\) 3.45411 7.40736i 0.142566 0.305734i −0.822040 0.569430i \(-0.807164\pi\)
0.964606 + 0.263696i \(0.0849416\pi\)
\(588\) 2.48362 + 17.1427i 0.102423 + 0.706953i
\(589\) 8.90140 + 10.6083i 0.366776 + 0.437106i
\(590\) −14.4591 9.00262i −0.595273 0.370632i
\(591\) −3.46812 + 0.196546i −0.142660 + 0.00808483i
\(592\) 37.3735 26.1692i 1.53604 1.07555i
\(593\) −28.1239 28.1239i −1.15491 1.15491i −0.985555 0.169357i \(-0.945831\pi\)
−0.169357 0.985555i \(-0.554169\pi\)
\(594\) 19.5871 23.1215i 0.803668 0.948687i
\(595\) 5.75366 + 8.82860i 0.235877 + 0.361937i
\(596\) 10.0651 + 1.77475i 0.412282 + 0.0726965i
\(597\) −9.71291 29.4664i −0.397523 1.20598i
\(598\) 56.6826 26.4315i 2.31793 1.08087i
\(599\) 27.5968 23.1564i 1.12757 0.946147i 0.128612 0.991695i \(-0.458948\pi\)
0.998962 + 0.0455483i \(0.0145035\pi\)
\(600\) 0.527914 0.893677i 0.0215520 0.0364842i
\(601\) −21.4617 + 7.81141i −0.875440 + 0.318634i −0.740368 0.672202i \(-0.765349\pi\)
−0.135072 + 0.990836i \(0.543126\pi\)
\(602\) −0.561836 2.09680i −0.0228987 0.0854593i
\(603\) 11.4090 6.98794i 0.464610 0.284571i
\(604\) 36.9808 21.3509i 1.50473 0.868755i
\(605\) 0.705169 5.82087i 0.0286692 0.236652i
\(606\) 13.1456 + 13.9773i 0.534004 + 0.567790i
\(607\) 4.90539 7.00562i 0.199104 0.284349i −0.707168 0.707046i \(-0.750027\pi\)
0.906271 + 0.422696i \(0.138916\pi\)
\(608\) 18.7583 26.7897i 0.760751 1.08647i
\(609\) −3.68488 3.91802i −0.149319 0.158766i
\(610\) 12.4818 + 15.9229i 0.505374 + 0.644700i
\(611\) −15.3011 + 8.83410i −0.619017 + 0.357389i
\(612\) −16.9572 + 10.3862i −0.685456 + 0.419837i
\(613\) 9.58796 + 35.7827i 0.387254 + 1.44525i 0.834583 + 0.550882i \(0.185709\pi\)
−0.447329 + 0.894369i \(0.647625\pi\)
\(614\) −22.6241 + 8.23450i −0.913034 + 0.332317i
\(615\) 1.05604 3.12644i 0.0425838 0.126070i
\(616\) −0.389125 + 0.326514i −0.0156783 + 0.0131556i
\(617\) 11.1077 5.17963i 0.447181 0.208524i −0.185965 0.982556i \(-0.559541\pi\)
0.633146 + 0.774032i \(0.281763\pi\)
\(618\) 4.28712 + 13.0060i 0.172453 + 0.523178i
\(619\) −8.63834 1.52317i −0.347204 0.0612215i −0.00267331 0.999996i \(-0.500851\pi\)
−0.344531 + 0.938775i \(0.611962\pi\)
\(620\) −13.1546 + 8.57294i −0.528301 + 0.344297i
\(621\) −25.8942 4.69138i −1.03910 0.188259i
\(622\) 3.44947 + 3.44947i 0.138311 + 0.138311i
\(623\) −7.31853 + 5.12449i −0.293211 + 0.205308i
\(624\) −41.0979 + 2.32911i −1.64523 + 0.0932391i
\(625\) 9.51476 + 23.1186i 0.380590 + 0.924744i
\(626\) 15.8763 + 18.9206i 0.634543 + 0.756218i
\(627\) −2.91953 20.1515i −0.116595 0.804773i
\(628\) −5.91130 + 12.6768i −0.235887 + 0.505860i
\(629\) −18.9351 + 32.7966i −0.754992 + 1.30769i
\(630\) −10.0208 + 17.0663i −0.399240 + 0.679938i
\(631\) 16.1540 + 27.9796i 0.643083 + 1.11385i 0.984741 + 0.174027i \(0.0556781\pi\)
−0.341658 + 0.939824i \(0.610989\pi\)
\(632\) 0.174673 0.0152819i 0.00694810 0.000607880i
\(633\) −8.74923 16.2875i −0.347751 0.647368i
\(634\) −45.0092 + 7.93634i −1.78755 + 0.315192i
\(635\) 22.2791 + 0.741969i 0.884121 + 0.0294442i
\(636\) −0.0875903 0.372169i −0.00347318 0.0147575i
\(637\) −2.59401 29.6497i −0.102778 1.17476i
\(638\) −3.20098 + 11.9462i −0.126728 + 0.472955i
\(639\) 27.0187 3.07228i 1.06884 0.121538i
\(640\) 1.59491 + 1.43140i 0.0630442 + 0.0565811i
\(641\) −3.35944 9.23000i −0.132690 0.364563i 0.855499 0.517805i \(-0.173251\pi\)
−0.988189 + 0.153242i \(0.951029\pi\)
\(642\) −19.2679 + 48.2797i −0.760443 + 1.90545i
\(643\) 1.62110 18.5293i 0.0639299 0.730723i −0.894812 0.446444i \(-0.852690\pi\)
0.958742 0.284279i \(-0.0917541\pi\)
\(644\) 14.3516 + 5.22355i 0.565532 + 0.205837i
\(645\) −1.14379 + 2.61010i −0.0450367 + 0.102773i
\(646\) −4.57349 + 25.9375i −0.179942 + 1.02050i
\(647\) 14.2018 14.2018i 0.558331 0.558331i −0.370501 0.928832i \(-0.620814\pi\)
0.928832 + 0.370501i \(0.120814\pi\)
\(648\) −0.914513 0.572019i −0.0359255 0.0224710i
\(649\) 10.9428i 0.429542i
\(650\) −34.3625 + 51.3013i −1.34781 + 2.01220i
\(651\) 7.23215 4.74045i 0.283450 0.185793i
\(652\) 17.7082 + 37.9754i 0.693507 + 1.48723i
\(653\) −19.8693 1.73834i −0.777546 0.0680265i −0.308528 0.951215i \(-0.599836\pi\)
−0.469018 + 0.883189i \(0.655392\pi\)
\(654\) 13.6543 + 31.7909i 0.533924 + 1.24312i
\(655\) −15.0806 + 20.0801i −0.589250 + 0.784595i
\(656\) 2.86119 + 1.65191i 0.111711 + 0.0644963i
\(657\) 3.70048 24.7228i 0.144370 0.964528i
\(658\) −8.21463 2.20110i −0.320240 0.0858080i
\(659\) −0.815140 0.683983i −0.0317533 0.0266442i 0.626773 0.779202i \(-0.284375\pi\)
−0.658526 + 0.752558i \(0.728820\pi\)
\(660\) 23.0808 0.538356i 0.898420 0.0209555i
\(661\) −5.78183 32.7904i −0.224887 1.27540i −0.862901 0.505373i \(-0.831355\pi\)
0.638014 0.770025i \(-0.279756\pi\)
\(662\) 26.9314 + 18.8576i 1.04672 + 0.732920i
\(663\) 30.0998 16.1689i 1.16898 0.627947i
\(664\) 1.30202 1.55168i 0.0505280 0.0602169i
\(665\) 4.12986 + 12.6409i 0.160149 + 0.490192i
\(666\) −70.9885 4.35774i −2.75075 0.168859i
\(667\) 10.3744 2.77981i 0.401699 0.107635i
\(668\) 0.880256 + 0.410470i 0.0340581 + 0.0158816i
\(669\) 16.5826 + 12.3857i 0.641119 + 0.478858i
\(670\) 19.2235 + 5.84326i 0.742668 + 0.225745i
\(671\) −4.44565 + 12.2143i −0.171622 + 0.471529i
\(672\) −15.2343 13.6002i −0.587676 0.524639i
\(673\) 14.0367 + 20.0466i 0.541077 + 0.772738i 0.992847 0.119397i \(-0.0380961\pi\)
−0.451770 + 0.892135i \(0.649207\pi\)
\(674\) 8.08017 0.311236
\(675\) 24.2688 9.27508i 0.934105 0.356998i
\(676\) −50.5961 −1.94600
\(677\) −11.7412 16.7682i −0.451252 0.644455i 0.527487 0.849563i \(-0.323134\pi\)
−0.978739 + 0.205108i \(0.934245\pi\)
\(678\) −50.4813 + 16.6400i −1.93872 + 0.639055i
\(679\) −8.11957 + 22.3083i −0.311601 + 0.856115i
\(680\) −0.825265 0.250852i −0.0316474 0.00961972i
\(681\) 0.235792 1.99029i 0.00903556 0.0762681i
\(682\) −18.0208 8.40325i −0.690053 0.321777i
\(683\) −21.3380 + 5.71751i −0.816477 + 0.218774i −0.642806 0.766029i \(-0.722230\pi\)
−0.173671 + 0.984804i \(0.555563\pi\)
\(684\) −24.0623 + 7.12175i −0.920047 + 0.272307i
\(685\) −13.6507 41.7827i −0.521566 1.59643i
\(686\) 22.4833 26.7945i 0.858416 1.02302i
\(687\) −0.464968 + 15.1631i −0.0177396 + 0.578509i
\(688\) −2.33707 1.63643i −0.0890999 0.0623884i
\(689\) 0.114078 + 0.646969i 0.00434603 + 0.0246476i
\(690\) −20.5526 33.7551i −0.782425 1.28503i
\(691\) 13.7398 + 11.5291i 0.522688 + 0.438587i 0.865568 0.500792i \(-0.166958\pi\)
−0.342880 + 0.939379i \(0.611402\pi\)
\(692\) −36.6813 9.82872i −1.39441 0.373632i
\(693\) −12.7105 + 0.329998i −0.482831 + 0.0125356i
\(694\) 21.6551 + 12.5026i 0.822016 + 0.474591i
\(695\) 1.99687 2.65886i 0.0757455 0.100856i
\(696\) 0.437188 + 0.0517940i 0.0165716 + 0.00196325i
\(697\) −2.73187 0.239008i −0.103477 0.00905306i
\(698\) 6.50619 + 13.9526i 0.246263 + 0.528112i
\(699\) −25.3066 12.7591i −0.957182 0.482593i
\(700\) −14.7918 + 2.92487i −0.559079 + 0.110550i
\(701\) 11.4005i 0.430590i 0.976549 + 0.215295i \(0.0690713\pi\)
−0.976549 + 0.215295i \(0.930929\pi\)
\(702\) 52.3903 + 37.0521i 1.97735 + 1.39844i
\(703\) −33.7929 + 33.7929i −1.27452 + 1.27452i
\(704\) −4.25644 + 24.1395i −0.160421 + 0.909791i
\(705\) 6.61511 + 8.99348i 0.249139 + 0.338714i
\(706\) 33.8977 + 12.3377i 1.27576 + 0.464337i
\(707\) 0.701693 8.02039i 0.0263899 0.301638i
\(708\) −13.3466 + 1.93365i −0.501598 + 0.0726711i
\(709\) −5.28444 14.5189i −0.198461 0.545268i 0.800043 0.599943i \(-0.204810\pi\)
−0.998504 + 0.0546749i \(0.982588\pi\)
\(710\) 30.3918 + 27.2762i 1.14059 + 1.02366i
\(711\) 3.65928 + 2.42320i 0.137234 + 0.0908772i
\(712\) 0.189270 0.706365i 0.00709319 0.0264722i
\(713\) 1.50497 + 17.2019i 0.0563616 + 0.644216i
\(714\) 15.7480 + 4.74151i 0.589353 + 0.177447i
\(715\) −39.6474 1.32039i −1.48273 0.0493798i
\(716\) −16.0551 + 2.83094i −0.600006 + 0.105797i
\(717\) −7.82988 + 12.6498i −0.292412 + 0.472415i
\(718\) −25.1504 + 2.20038i −0.938606 + 0.0821174i
\(719\) −4.71157 8.16068i −0.175712 0.304342i 0.764695 0.644392i \(-0.222889\pi\)
−0.940407 + 0.340050i \(0.889556\pi\)
\(720\) 4.32877 + 25.6483i 0.161324 + 0.955854i
\(721\) 2.87301 4.97620i 0.106997 0.185323i
\(722\) 2.13197 4.57202i 0.0793437 0.170153i
\(723\) 3.32459 + 1.32681i 0.123643 + 0.0493444i
\(724\) 26.1085 + 31.1149i 0.970315 + 1.15638i
\(725\) −7.34124 + 7.65140i −0.272647 + 0.284166i
\(726\) −5.01651 7.65331i −0.186180 0.284041i
\(727\) 35.1712 24.6272i 1.30443 0.913371i 0.305186 0.952293i \(-0.401281\pi\)
0.999242 + 0.0389219i \(0.0123924\pi\)
\(728\) −0.760607 0.760607i −0.0281900 0.0281900i
\(729\) −8.99575 25.4573i −0.333176 0.942865i
\(730\) 31.4516 20.4972i 1.16408 0.758636i
\(731\) 2.33216 + 0.411222i 0.0862579 + 0.0152096i
\(732\) 15.6831 + 3.26391i 0.579663 + 0.120638i
\(733\) 0.567513 0.264636i 0.0209616 0.00977454i −0.412109 0.911134i \(-0.635208\pi\)
0.433071 + 0.901360i \(0.357430\pi\)
\(734\) 21.1255 17.7264i 0.779755 0.654292i
\(735\) −18.4399 + 3.69677i −0.680167 + 0.136357i
\(736\) 38.3205 13.9475i 1.41251 0.514112i
\(737\) 3.34089 + 12.4684i 0.123063 + 0.459278i
\(738\) −1.88648 4.79224i −0.0694423 0.176405i
\(739\) −23.6846 + 13.6743i −0.871251 + 0.503017i −0.867764 0.496977i \(-0.834443\pi\)
−0.00348723 + 0.999994i \(0.501110\pi\)
\(740\) −33.4295 42.6457i −1.22889 1.56769i
\(741\) 41.9712 9.87796i 1.54185 0.362876i
\(742\) −0.181374 + 0.259029i −0.00665846 + 0.00950927i
\(743\) 20.5718 29.3796i 0.754706 1.07783i −0.239558 0.970882i \(-0.577003\pi\)
0.994264 0.106950i \(-0.0341086\pi\)
\(744\) −0.204059 + 0.677741i −0.00748118 + 0.0248472i
\(745\) −1.33455 + 11.0161i −0.0488941 + 0.403600i
\(746\) −21.1251 + 12.1966i −0.773444 + 0.446548i
\(747\) 49.6860 10.0972i 1.81792 0.369437i
\(748\) −4.96558 18.5318i −0.181559 0.677589i
\(749\) 20.4960 7.45993i 0.748907 0.272580i
\(750\) 34.6150 + 18.0031i 1.26396 + 0.657379i
\(751\) −27.0935 + 22.7342i −0.988657 + 0.829582i −0.985373 0.170413i \(-0.945490\pi\)
−0.00328459 + 0.999995i \(0.501046\pi\)
\(752\) −10.1301 + 4.72374i −0.369407 + 0.172257i
\(753\) −12.7249 + 14.2539i −0.463723 + 0.519441i
\(754\) −25.7916 4.54775i −0.939274 0.165619i
\(755\) 25.3139 + 38.8425i 0.921267 + 1.41362i
\(756\) 2.64850 + 15.4443i 0.0963250 + 0.561705i
\(757\) −26.1262 26.1262i −0.949573 0.949573i 0.0492153 0.998788i \(-0.484328\pi\)
−0.998788 + 0.0492153i \(0.984328\pi\)
\(758\) 37.1701 26.0268i 1.35008 0.945336i
\(759\) 11.4304 22.6713i 0.414899 0.822915i
\(760\) −0.924024 0.575321i −0.0335179 0.0208691i
\(761\) 5.19201 + 6.18759i 0.188210 + 0.224300i 0.851896 0.523712i \(-0.175453\pi\)
−0.663685 + 0.748012i \(0.731009\pi\)
\(762\) 27.3233 21.5350i 0.989819 0.780132i
\(763\) 6.13535 13.1573i 0.222115 0.476326i
\(764\) 8.99914 15.5870i 0.325577 0.563917i
\(765\) −12.2536 17.7760i −0.443029 0.642692i
\(766\) −14.5740 25.2430i −0.526582 0.912066i
\(767\) 23.0841 2.01960i 0.833519 0.0729234i
\(768\) −25.9793 0.796640i −0.937447 0.0287463i
\(769\) 16.0619 2.83215i 0.579208 0.102130i 0.123634 0.992328i \(-0.460545\pi\)
0.455574 + 0.890198i \(0.349434\pi\)
\(770\) −13.0449 13.9437i −0.470107 0.502498i