Properties

Label 690.2.w.b.7.8
Level $690$
Weight $2$
Character 690.7
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.w (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 7.8
Character \(\chi\) \(=\) 690.7
Dual form 690.2.w.b.493.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.997452 - 0.0713392i) q^{2} +(0.212565 - 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(-1.40926 - 1.73608i) q^{5} +(0.142315 - 0.989821i) q^{6} +(1.26240 - 2.31192i) q^{7} +(0.977147 - 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +O(q^{10})\) \(q+(0.997452 - 0.0713392i) q^{2} +(0.212565 - 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(-1.40926 - 1.73608i) q^{5} +(0.142315 - 0.989821i) q^{6} +(1.26240 - 2.31192i) q^{7} +(0.977147 - 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +(-1.52952 - 1.63113i) q^{10} +(-3.41960 + 2.96310i) q^{11} +(0.0713392 - 0.997452i) q^{12} +(4.05636 - 2.21494i) q^{13} +(1.09425 - 2.39608i) q^{14} +(-1.99597 + 1.00802i) q^{15} +(0.959493 - 0.281733i) q^{16} +(-2.81116 - 3.75527i) q^{17} +(-0.936950 - 0.349464i) q^{18} +(0.166109 + 1.15532i) q^{19} +(-1.64199 - 1.51786i) q^{20} +(-1.99074 - 1.72498i) q^{21} +(-3.19951 + 3.19951i) q^{22} +(-0.0981907 - 4.79483i) q^{23} -1.00000i q^{24} +(-1.02798 + 4.89319i) q^{25} +(3.88801 - 2.49867i) q^{26} +(-0.599278 + 0.800541i) q^{27} +(0.920532 - 2.46804i) q^{28} +(-1.94866 - 0.280175i) q^{29} +(-1.91897 + 1.14784i) q^{30} +(1.55826 + 1.00144i) q^{31} +(0.936950 - 0.349464i) q^{32} +(2.16850 + 3.97131i) q^{33} +(-3.07189 - 3.54515i) q^{34} +(-5.79273 + 1.06645i) q^{35} +(-0.959493 - 0.281733i) q^{36} +(-4.10060 - 10.9941i) q^{37} +(0.248105 + 1.14052i) q^{38} +(-1.30208 - 4.43448i) q^{39} +(-1.74608 - 1.39685i) q^{40} +(4.03813 + 8.84228i) q^{41} +(-2.10872 - 1.57857i) q^{42} +(0.304775 + 0.0662997i) q^{43} +(-2.96310 + 3.41960i) q^{44} +(0.560711 + 2.16463i) q^{45} +(-0.439999 - 4.77560i) q^{46} +(3.83051 + 3.83051i) q^{47} +(-0.0713392 - 0.997452i) q^{48} +(0.0331903 + 0.0516451i) q^{49} +(-0.676284 + 4.95405i) q^{50} +(-4.26700 + 1.94867i) q^{51} +(3.69985 - 2.76968i) q^{52} +(7.71569 + 4.21309i) q^{53} +(-0.540641 + 0.841254i) q^{54} +(9.96330 + 1.76094i) q^{55} +(0.742118 - 2.52742i) q^{56} +(1.16422 + 0.0832668i) q^{57} +(-1.96369 - 0.140446i) q^{58} +(0.914088 - 3.11310i) q^{59} +(-1.83220 + 1.28182i) q^{60} +(7.55752 - 11.7597i) q^{61} +(1.62574 + 0.887719i) q^{62} +(-2.10872 + 1.57857i) q^{63} +(0.909632 - 0.415415i) q^{64} +(-9.56178 - 3.92076i) q^{65} +(2.44628 + 3.80649i) q^{66} +(0.841611 + 11.7673i) q^{67} +(-3.31697 - 3.31697i) q^{68} +(-4.70612 - 0.923267i) q^{69} +(-5.70189 + 1.47698i) q^{70} +(7.31113 - 8.43750i) q^{71} +(-0.977147 - 0.212565i) q^{72} +(-0.684298 - 0.512259i) q^{73} +(-4.87447 - 10.6736i) q^{74} +(4.56285 + 2.04461i) q^{75} +(0.328837 + 1.11992i) q^{76} +(2.53353 + 11.6465i) q^{77} +(-1.61511 - 4.33029i) q^{78} +(6.01121 + 1.76505i) q^{79} +(-1.84129 - 1.26873i) q^{80} +(0.654861 + 0.755750i) q^{81} +(4.65865 + 8.53167i) q^{82} +(9.32162 - 3.47678i) q^{83} +(-2.21597 - 1.42411i) q^{84} +(-2.55781 + 10.1726i) q^{85} +(0.308728 + 0.0443884i) q^{86} +(-0.687991 + 1.84457i) q^{87} +(-2.71160 + 3.62228i) q^{88} +(-11.9217 + 7.66163i) q^{89} +(0.713705 + 2.11911i) q^{90} -12.1741i q^{91} +(-0.779566 - 4.73205i) q^{92} +(1.30978 - 1.30978i) q^{93} +(4.09402 + 3.54749i) q^{94} +(1.77163 - 1.91652i) q^{95} +(-0.142315 - 0.989821i) q^{96} +(9.37574 + 3.49697i) q^{97} +(0.0367900 + 0.0491457i) q^{98} +(4.34150 - 1.27478i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 24q^{6} + O(q^{10}) \) \( 240q + 24q^{6} - 44q^{10} + 24q^{16} - 44q^{21} + 96q^{23} + 16q^{25} + 16q^{26} + 44q^{28} - 16q^{31} + 44q^{33} + 16q^{35} - 24q^{36} + 44q^{37} - 88q^{43} + 8q^{46} + 96q^{47} - 24q^{50} - 24q^{55} + 44q^{57} - 16q^{58} + 88q^{61} + 56q^{62} - 88q^{65} + 132q^{67} - 56q^{70} + 16q^{71} + 48q^{73} + 24q^{81} - 24q^{82} + 44q^{85} - 16q^{87} + 44q^{88} - 124q^{92} + 32q^{93} + 20q^{95} - 24q^{96} - 56q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{19}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.997452 0.0713392i 0.705305 0.0504444i
\(3\) 0.212565 0.977147i 0.122725 0.564156i
\(4\) 0.989821 0.142315i 0.494911 0.0711574i
\(5\) −1.40926 1.73608i −0.630240 0.776401i
\(6\) 0.142315 0.989821i 0.0580998 0.404093i
\(7\) 1.26240 2.31192i 0.477143 0.873822i −0.522631 0.852559i \(-0.675049\pi\)
0.999774 0.0212629i \(-0.00676871\pi\)
\(8\) 0.977147 0.212565i 0.345474 0.0751532i
\(9\) −0.909632 0.415415i −0.303211 0.138472i
\(10\) −1.52952 1.63113i −0.483676 0.515807i
\(11\) −3.41960 + 2.96310i −1.03105 + 0.893409i −0.994375 0.105918i \(-0.966222\pi\)
−0.0366743 + 0.999327i \(0.511676\pi\)
\(12\) 0.0713392 0.997452i 0.0205938 0.287940i
\(13\) 4.05636 2.21494i 1.12503 0.614314i 0.194638 0.980875i \(-0.437647\pi\)
0.930394 + 0.366561i \(0.119465\pi\)
\(14\) 1.09425 2.39608i 0.292452 0.640380i
\(15\) −1.99597 + 1.00802i −0.515357 + 0.260270i
\(16\) 0.959493 0.281733i 0.239873 0.0704331i
\(17\) −2.81116 3.75527i −0.681806 0.910786i 0.317492 0.948261i \(-0.397159\pi\)
−0.999298 + 0.0374749i \(0.988069\pi\)
\(18\) −0.936950 0.349464i −0.220841 0.0823695i
\(19\) 0.166109 + 1.15532i 0.0381081 + 0.265047i 0.999964 0.00850979i \(-0.00270878\pi\)
−0.961856 + 0.273557i \(0.911800\pi\)
\(20\) −1.64199 1.51786i −0.367159 0.339403i
\(21\) −1.99074 1.72498i −0.434415 0.376422i
\(22\) −3.19951 + 3.19951i −0.682137 + 0.682137i
\(23\) −0.0981907 4.79483i −0.0204742 0.999790i
\(24\) 1.00000i 0.204124i
\(25\) −1.02798 + 4.89319i −0.205596 + 0.978637i
\(26\) 3.88801 2.49867i 0.762502 0.490030i
\(27\) −0.599278 + 0.800541i −0.115331 + 0.154064i
\(28\) 0.920532 2.46804i 0.173964 0.466416i
\(29\) −1.94866 0.280175i −0.361858 0.0520273i −0.0410116 0.999159i \(-0.513058\pi\)
−0.320846 + 0.947131i \(0.603967\pi\)
\(30\) −1.91897 + 1.14784i −0.350355 + 0.209567i
\(31\) 1.55826 + 1.00144i 0.279872 + 0.179863i 0.673045 0.739602i \(-0.264986\pi\)
−0.393172 + 0.919465i \(0.628622\pi\)
\(32\) 0.936950 0.349464i 0.165631 0.0617771i
\(33\) 2.16850 + 3.97131i 0.377487 + 0.691316i
\(34\) −3.07189 3.54515i −0.526825 0.607989i
\(35\) −5.79273 + 1.06645i −0.979150 + 0.180263i
\(36\) −0.959493 0.281733i −0.159915 0.0469554i
\(37\) −4.10060 10.9941i −0.674135 1.80743i −0.584408 0.811460i \(-0.698673\pi\)
−0.0897272 0.995966i \(-0.528600\pi\)
\(38\) 0.248105 + 1.14052i 0.0402480 + 0.185017i
\(39\) −1.30208 4.43448i −0.208500 0.710085i
\(40\) −1.74608 1.39685i −0.276080 0.220861i
\(41\) 4.03813 + 8.84228i 0.630651 + 1.38093i 0.907514 + 0.420023i \(0.137978\pi\)
−0.276863 + 0.960909i \(0.589295\pi\)
\(42\) −2.10872 1.57857i −0.325383 0.243579i
\(43\) 0.304775 + 0.0662997i 0.0464777 + 0.0101106i 0.235744 0.971815i \(-0.424247\pi\)
−0.189266 + 0.981926i \(0.560611\pi\)
\(44\) −2.96310 + 3.41960i −0.446705 + 0.515525i
\(45\) 0.560711 + 2.16463i 0.0835859 + 0.322683i
\(46\) −0.439999 4.77560i −0.0648744 0.704125i
\(47\) 3.83051 + 3.83051i 0.558737 + 0.558737i 0.928948 0.370210i \(-0.120714\pi\)
−0.370210 + 0.928948i \(0.620714\pi\)
\(48\) −0.0713392 0.997452i −0.0102969 0.143970i
\(49\) 0.0331903 + 0.0516451i 0.00474147 + 0.00737787i
\(50\) −0.676284 + 4.95405i −0.0956409 + 0.700609i
\(51\) −4.26700 + 1.94867i −0.597500 + 0.272869i
\(52\) 3.69985 2.76968i 0.513077 0.384085i
\(53\) 7.71569 + 4.21309i 1.05983 + 0.578712i 0.911953 0.410294i \(-0.134574\pi\)
0.147878 + 0.989006i \(0.452756\pi\)
\(54\) −0.540641 + 0.841254i −0.0735719 + 0.114480i
\(55\) 9.96330 + 1.76094i 1.34345 + 0.237445i
\(56\) 0.742118 2.52742i 0.0991698 0.337741i
\(57\) 1.16422 + 0.0832668i 0.154205 + 0.0110290i
\(58\) −1.96369 0.140446i −0.257844 0.0184414i
\(59\) 0.914088 3.11310i 0.119004 0.405291i −0.878347 0.478023i \(-0.841354\pi\)
0.997352 + 0.0727321i \(0.0231718\pi\)
\(60\) −1.83220 + 1.28182i −0.236536 + 0.165482i
\(61\) 7.55752 11.7597i 0.967641 1.50568i 0.108400 0.994107i \(-0.465427\pi\)
0.859241 0.511571i \(-0.170936\pi\)
\(62\) 1.62574 + 0.887719i 0.206469 + 0.112740i
\(63\) −2.10872 + 1.57857i −0.265674 + 0.198881i
\(64\) 0.909632 0.415415i 0.113704 0.0519269i
\(65\) −9.56178 3.92076i −1.18599 0.486310i
\(66\) 2.44628 + 3.80649i 0.301117 + 0.468547i
\(67\) 0.841611 + 11.7673i 0.102819 + 1.43760i 0.742956 + 0.669340i \(0.233423\pi\)
−0.640137 + 0.768261i \(0.721123\pi\)
\(68\) −3.31697 3.31697i −0.402242 0.402242i
\(69\) −4.70612 0.923267i −0.566550 0.111148i
\(70\) −5.70189 + 1.47698i −0.681506 + 0.176533i
\(71\) 7.31113 8.43750i 0.867672 1.00135i −0.132277 0.991213i \(-0.542229\pi\)
0.999949 0.0101341i \(-0.00322583\pi\)
\(72\) −0.977147 0.212565i −0.115158 0.0250511i
\(73\) −0.684298 0.512259i −0.0800910 0.0599554i 0.558482 0.829517i \(-0.311384\pi\)
−0.638573 + 0.769561i \(0.720475\pi\)
\(74\) −4.87447 10.6736i −0.566646 1.24078i
\(75\) 4.56285 + 2.04461i 0.526872 + 0.236091i
\(76\) 0.328837 + 1.11992i 0.0377202 + 0.128463i
\(77\) 2.53353 + 11.6465i 0.288723 + 1.32724i
\(78\) −1.61511 4.33029i −0.182876 0.490309i
\(79\) 6.01121 + 1.76505i 0.676313 + 0.198584i 0.601813 0.798637i \(-0.294445\pi\)
0.0745010 + 0.997221i \(0.476264\pi\)
\(80\) −1.84129 1.26873i −0.205862 0.141848i
\(81\) 0.654861 + 0.755750i 0.0727623 + 0.0839722i
\(82\) 4.65865 + 8.53167i 0.514461 + 0.942166i
\(83\) 9.32162 3.47678i 1.02318 0.381627i 0.218818 0.975766i \(-0.429780\pi\)
0.804362 + 0.594139i \(0.202507\pi\)
\(84\) −2.21597 1.42411i −0.241782 0.155384i
\(85\) −2.55781 + 10.1726i −0.277434 + 1.10337i
\(86\) 0.308728 + 0.0443884i 0.0332910 + 0.00478652i
\(87\) −0.687991 + 1.84457i −0.0737603 + 0.197759i
\(88\) −2.71160 + 3.62228i −0.289058 + 0.386136i
\(89\) −11.9217 + 7.66163i −1.26370 + 0.812131i −0.988786 0.149338i \(-0.952286\pi\)
−0.274914 + 0.961469i \(0.588649\pi\)
\(90\) 0.713705 + 2.11911i 0.0752312 + 0.223374i
\(91\) 12.1741i 1.27619i
\(92\) −0.779566 4.73205i −0.0812754 0.493350i
\(93\) 1.30978 1.30978i 0.135818 0.135818i
\(94\) 4.09402 + 3.54749i 0.422266 + 0.365895i
\(95\) 1.77163 1.91652i 0.181766 0.196631i
\(96\) −0.142315 0.989821i −0.0145249 0.101023i
\(97\) 9.37574 + 3.49697i 0.951962 + 0.355063i 0.776992 0.629510i \(-0.216744\pi\)
0.174970 + 0.984574i \(0.444017\pi\)
\(98\) 0.0367900 + 0.0491457i 0.00371635 + 0.00496447i
\(99\) 4.34150 1.27478i 0.436337 0.128120i
\(100\) −0.321142 + 4.98968i −0.0321142 + 0.498968i
\(101\) −7.10678 + 15.5617i −0.707151 + 1.54844i 0.123929 + 0.992291i \(0.460451\pi\)
−0.831080 + 0.556154i \(0.812277\pi\)
\(102\) −4.11711 + 2.24811i −0.407655 + 0.222596i
\(103\) −1.01142 + 14.1415i −0.0996579 + 1.39340i 0.663978 + 0.747752i \(0.268867\pi\)
−0.763636 + 0.645647i \(0.776588\pi\)
\(104\) 3.49284 3.02656i 0.342501 0.296779i
\(105\) −0.189253 + 5.88704i −0.0184692 + 0.574516i
\(106\) 7.99659 + 3.65192i 0.776697 + 0.354706i
\(107\) 0.444094 0.0966067i 0.0429322 0.00933932i −0.191048 0.981581i \(-0.561189\pi\)
0.233980 + 0.972241i \(0.424825\pi\)
\(108\) −0.479249 + 0.877679i −0.0461158 + 0.0844547i
\(109\) −0.469544 + 3.26575i −0.0449742 + 0.312802i 0.954900 + 0.296928i \(0.0959622\pi\)
−0.999874 + 0.0158740i \(0.994947\pi\)
\(110\) 10.0635 + 1.04568i 0.959521 + 0.0997017i
\(111\) −11.6145 + 1.66992i −1.10240 + 0.158502i
\(112\) 0.559923 2.57393i 0.0529078 0.243213i
\(113\) −6.24707 + 0.446800i −0.587675 + 0.0420314i −0.362011 0.932174i \(-0.617910\pi\)
−0.225664 + 0.974205i \(0.572455\pi\)
\(114\) 1.16720 0.109318
\(115\) −8.18585 + 6.92762i −0.763334 + 0.646004i
\(116\) −1.96870 −0.182789
\(117\) −4.60991 + 0.329708i −0.426187 + 0.0304815i
\(118\) 0.689673 3.17037i 0.0634895 0.291857i
\(119\) −12.2307 + 1.75850i −1.12118 + 0.161202i
\(120\) −1.73608 + 1.40926i −0.158482 + 0.128647i
\(121\) 1.34824 9.37724i 0.122568 0.852476i
\(122\) 6.69933 12.2689i 0.606529 1.11077i
\(123\) 9.49857 2.06629i 0.856457 0.186311i
\(124\) 1.68492 + 0.769478i 0.151310 + 0.0691012i
\(125\) 9.94367 5.11111i 0.889389 0.457151i
\(126\) −1.99074 + 1.72498i −0.177349 + 0.153674i
\(127\) 0.503228 7.03605i 0.0446543 0.624349i −0.925015 0.379930i \(-0.875948\pi\)
0.969670 0.244419i \(-0.0785972\pi\)
\(128\) 0.877679 0.479249i 0.0775766 0.0423600i
\(129\) 0.129569 0.283717i 0.0114079 0.0249799i
\(130\) −9.81713 3.22864i −0.861019 0.283170i
\(131\) 12.0699 3.54404i 1.05455 0.309644i 0.291896 0.956450i \(-0.405714\pi\)
0.762655 + 0.646806i \(0.223896\pi\)
\(132\) 2.71160 + 3.62228i 0.236015 + 0.315279i
\(133\) 2.88069 + 1.07444i 0.249787 + 0.0931658i
\(134\) 1.67893 + 11.6772i 0.145038 + 1.00876i
\(135\) 2.23434 0.0877732i 0.192302 0.00755432i
\(136\) −3.54515 3.07189i −0.303994 0.263413i
\(137\) 10.5237 10.5237i 0.899102 0.899102i −0.0962547 0.995357i \(-0.530686\pi\)
0.995357 + 0.0962547i \(0.0306863\pi\)
\(138\) −4.76000 0.585184i −0.405198 0.0498141i
\(139\) 0.618374i 0.0524498i −0.999656 0.0262249i \(-0.991651\pi\)
0.999656 0.0262249i \(-0.00834860\pi\)
\(140\) −5.58200 + 1.87999i −0.471765 + 0.158888i
\(141\) 4.55721 2.92874i 0.383786 0.246644i
\(142\) 6.69058 8.93757i 0.561461 0.750024i
\(143\) −7.30805 + 19.5936i −0.611129 + 1.63850i
\(144\) −0.989821 0.142315i −0.0824851 0.0118596i
\(145\) 2.25976 + 3.77788i 0.187663 + 0.313736i
\(146\) −0.719098 0.462136i −0.0595130 0.0382467i
\(147\) 0.0575199 0.0214538i 0.00474416 0.00176948i
\(148\) −5.62350 10.2987i −0.462249 0.846545i
\(149\) −11.4446 13.2078i −0.937581 1.08203i −0.996486 0.0837626i \(-0.973306\pi\)
0.0589047 0.998264i \(-0.481239\pi\)
\(150\) 4.69708 + 1.71389i 0.383515 + 0.139938i
\(151\) 9.34558 + 2.74411i 0.760532 + 0.223312i 0.638928 0.769266i \(-0.279378\pi\)
0.121604 + 0.992579i \(0.461196\pi\)
\(152\) 0.407893 + 1.09360i 0.0330845 + 0.0887030i
\(153\) 0.997125 + 4.58371i 0.0806128 + 0.370571i
\(154\) 3.35793 + 11.4360i 0.270589 + 0.921543i
\(155\) −0.457421 4.11656i −0.0367409 0.330650i
\(156\) −1.91992 4.20404i −0.153717 0.336592i
\(157\) −11.0467 8.26943i −0.881620 0.659973i 0.0594327 0.998232i \(-0.481071\pi\)
−0.941053 + 0.338260i \(0.890162\pi\)
\(158\) 6.12181 + 1.33172i 0.487025 + 0.105946i
\(159\) 5.75689 6.64381i 0.456551 0.526888i
\(160\) −1.92710 1.13414i −0.152351 0.0896615i
\(161\) −11.2092 5.82599i −0.883408 0.459152i
\(162\) 0.707107 + 0.707107i 0.0555556 + 0.0555556i
\(163\) 1.03593 + 14.4841i 0.0811400 + 1.13448i 0.861025 + 0.508562i \(0.169823\pi\)
−0.779885 + 0.625923i \(0.784723\pi\)
\(164\) 5.25542 + 8.17759i 0.410379 + 0.638563i
\(165\) 3.83855 9.36130i 0.298831 0.728776i
\(166\) 9.04984 4.13292i 0.702404 0.320777i
\(167\) 0.106099 0.0794245i 0.00821017 0.00614605i −0.595165 0.803604i \(-0.702913\pi\)
0.603375 + 0.797458i \(0.293822\pi\)
\(168\) −2.31192 1.26240i −0.178368 0.0973964i
\(169\) 4.51976 7.03289i 0.347674 0.540992i
\(170\) −1.82559 + 10.3291i −0.140017 + 0.792206i
\(171\) 0.328837 1.11992i 0.0251468 0.0856421i
\(172\) 0.311108 + 0.0222509i 0.0237218 + 0.00169661i
\(173\) 2.00177 + 0.143169i 0.152192 + 0.0108850i 0.147227 0.989103i \(-0.452965\pi\)
0.00496464 + 0.999988i \(0.498420\pi\)
\(174\) −0.554647 + 1.88895i −0.0420477 + 0.143201i
\(175\) 10.0149 + 8.55376i 0.757056 + 0.646604i
\(176\) −2.44628 + 3.80649i −0.184396 + 0.286925i
\(177\) −2.84765 1.55493i −0.214042 0.116876i
\(178\) −11.3448 + 8.49259i −0.850327 + 0.636547i
\(179\) −14.8957 + 6.80265i −1.11336 + 0.508454i −0.885219 0.465174i \(-0.845992\pi\)
−0.228140 + 0.973628i \(0.573264\pi\)
\(180\) 0.863063 + 2.06279i 0.0643289 + 0.153752i
\(181\) 4.84436 + 7.53796i 0.360078 + 0.560293i 0.973276 0.229636i \(-0.0737537\pi\)
−0.613198 + 0.789929i \(0.710117\pi\)
\(182\) −0.868491 12.1431i −0.0643768 0.900105i
\(183\) −9.88451 9.88451i −0.730684 0.730684i
\(184\) −1.11516 4.66438i −0.0822107 0.343862i
\(185\) −13.3080 + 22.6126i −0.978420 + 1.66251i
\(186\) 1.21301 1.39988i 0.0889419 0.102644i
\(187\) 20.7403 + 4.51177i 1.51668 + 0.329934i
\(188\) 4.33666 + 3.24638i 0.316283 + 0.236767i
\(189\) 1.09425 + 2.39608i 0.0795953 + 0.174289i
\(190\) 1.63040 2.03802i 0.118281 0.147854i
\(191\) 2.19534 + 7.47664i 0.158849 + 0.540990i 1.00000 0.000189880i \(6.04406e-5\pi\)
−0.841151 + 0.540801i \(0.818121\pi\)
\(192\) −0.212565 0.977147i −0.0153406 0.0705195i
\(193\) −1.64454 4.40917i −0.118376 0.317379i 0.864225 0.503105i \(-0.167809\pi\)
−0.982602 + 0.185726i \(0.940536\pi\)
\(194\) 9.60132 + 2.81920i 0.689335 + 0.202407i
\(195\) −5.86366 + 8.50985i −0.419905 + 0.609403i
\(196\) 0.0402023 + 0.0463959i 0.00287159 + 0.00331399i
\(197\) −3.78409 6.93004i −0.269605 0.493745i 0.707441 0.706772i \(-0.249849\pi\)
−0.977046 + 0.213027i \(0.931668\pi\)
\(198\) 4.23949 1.58125i 0.301288 0.112375i
\(199\) 13.4732 + 8.65867i 0.955087 + 0.613797i 0.922634 0.385676i \(-0.126032\pi\)
0.0324527 + 0.999473i \(0.489668\pi\)
\(200\) 0.0356353 + 4.99987i 0.00251979 + 0.353544i
\(201\) 11.6772 + 1.67893i 0.823649 + 0.118423i
\(202\) −5.97851 + 16.0290i −0.420647 + 1.12780i
\(203\) −3.10774 + 4.15145i −0.218120 + 0.291375i
\(204\) −3.94625 + 2.53610i −0.276292 + 0.177562i
\(205\) 9.66017 19.4716i 0.674695 1.35996i
\(206\) 14.1776i 0.987799i
\(207\) −1.90253 + 4.40232i −0.132235 + 0.305982i
\(208\) 3.26803 3.26803i 0.226597 0.226597i
\(209\) −3.99135 3.45852i −0.276087 0.239231i
\(210\) 0.231206 + 5.88554i 0.0159547 + 0.406141i
\(211\) 0.301358 + 2.09599i 0.0207464 + 0.144294i 0.997562 0.0697893i \(-0.0222327\pi\)
−0.976815 + 0.214083i \(0.931324\pi\)
\(212\) 8.23674 + 3.07215i 0.565702 + 0.210996i
\(213\) −6.69058 8.93757i −0.458431 0.612392i
\(214\) 0.436071 0.128042i 0.0298092 0.00875276i
\(215\) −0.314405 0.622548i −0.0214422 0.0424574i
\(216\) −0.415415 + 0.909632i −0.0282654 + 0.0618926i
\(217\) 4.28239 2.33836i 0.290707 0.158738i
\(218\) −0.235372 + 3.29093i −0.0159414 + 0.222890i
\(219\) −0.646010 + 0.559771i −0.0436533 + 0.0378258i
\(220\) 10.1125 + 0.325091i 0.681785 + 0.0219176i
\(221\) −19.7208 9.00617i −1.32656 0.605821i
\(222\) −11.4658 + 2.49424i −0.769535 + 0.167402i
\(223\) −3.76562 + 6.89622i −0.252165 + 0.461805i −0.972843 0.231464i \(-0.925648\pi\)
0.720679 + 0.693269i \(0.243830\pi\)
\(224\) 0.374875 2.60731i 0.0250474 0.174208i
\(225\) 2.96778 4.02396i 0.197852 0.268264i
\(226\) −6.19928 + 0.891322i −0.412370 + 0.0592899i
\(227\) −6.07540 + 27.9282i −0.403239 + 1.85366i 0.107902 + 0.994162i \(0.465587\pi\)
−0.511141 + 0.859497i \(0.670777\pi\)
\(228\) 1.16422 0.0832668i 0.0771025 0.00551448i
\(229\) −25.4851 −1.68410 −0.842052 0.539396i \(-0.818653\pi\)
−0.842052 + 0.539396i \(0.818653\pi\)
\(230\) −7.67078 + 7.49394i −0.505796 + 0.494136i
\(231\) 11.9188 0.784202
\(232\) −1.96369 + 0.140446i −0.128922 + 0.00922070i
\(233\) 2.13183 9.79988i 0.139661 0.642012i −0.853084 0.521774i \(-0.825271\pi\)
0.992745 0.120238i \(-0.0383658\pi\)
\(234\) −4.57465 + 0.657735i −0.299054 + 0.0429975i
\(235\) 1.25191 12.0483i 0.0816655 0.785943i
\(236\) 0.461744 3.21150i 0.0300570 0.209051i
\(237\) 3.00249 5.49864i 0.195032 0.357175i
\(238\) −12.0741 + 2.62655i −0.782645 + 0.170254i
\(239\) −5.35058 2.44353i −0.346100 0.158059i 0.234778 0.972049i \(-0.424564\pi\)
−0.580879 + 0.813990i \(0.697291\pi\)
\(240\) −1.63113 + 1.52952i −0.105289 + 0.0987300i
\(241\) 13.4756 11.6767i 0.868038 0.752160i −0.102084 0.994776i \(-0.532551\pi\)
0.970122 + 0.242616i \(0.0780056\pi\)
\(242\) 0.675844 9.44953i 0.0434449 0.607439i
\(243\) 0.877679 0.479249i 0.0563031 0.0307438i
\(244\) 5.80701 12.7156i 0.371756 0.814031i
\(245\) 0.0428865 0.130402i 0.00273992 0.00833110i
\(246\) 9.32696 2.73864i 0.594665 0.174610i
\(247\) 3.23275 + 4.31845i 0.205695 + 0.274777i
\(248\) 1.73552 + 0.647317i 0.110206 + 0.0411047i
\(249\) −1.41588 9.84764i −0.0897275 0.624069i
\(250\) 9.55371 5.80746i 0.604230 0.367296i
\(251\) −11.3900 9.86949i −0.718930 0.622957i 0.216576 0.976266i \(-0.430511\pi\)
−0.935507 + 0.353309i \(0.885056\pi\)
\(252\) −1.86261 + 1.86261i −0.117333 + 0.117333i
\(253\) 14.5433 + 16.1055i 0.914332 + 1.01254i
\(254\) 7.05402i 0.442609i
\(255\) 9.39638 + 4.66169i 0.588424 + 0.291926i
\(256\) 0.841254 0.540641i 0.0525783 0.0337901i
\(257\) 12.6644 16.9176i 0.789983 1.05529i −0.207051 0.978330i \(-0.566387\pi\)
0.997034 0.0769631i \(-0.0245224\pi\)
\(258\) 0.108999 0.292237i 0.00678597 0.0181939i
\(259\) −30.5941 4.39877i −1.90103 0.273326i
\(260\) −10.0224 2.52007i −0.621565 0.156288i
\(261\) 1.65618 + 1.06436i 0.102515 + 0.0658822i
\(262\) 11.7863 4.39606i 0.728160 0.271590i
\(263\) 10.8711 + 19.9089i 0.670339 + 1.22763i 0.962504 + 0.271266i \(0.0874422\pi\)
−0.292166 + 0.956368i \(0.594376\pi\)
\(264\) 2.96310 + 3.41960i 0.182366 + 0.210462i
\(265\) −3.55913 19.3324i −0.218636 1.18758i
\(266\) 2.95000 + 0.866197i 0.180876 + 0.0531100i
\(267\) 4.95239 + 13.2779i 0.303081 + 0.812593i
\(268\) 2.50770 + 11.5277i 0.153182 + 0.704167i
\(269\) −6.02633 20.5238i −0.367432 1.25136i −0.911145 0.412086i \(-0.864800\pi\)
0.543713 0.839271i \(-0.317018\pi\)
\(270\) 2.22239 0.246946i 0.135250 0.0150287i
\(271\) 1.22330 + 2.67865i 0.0743101 + 0.162716i 0.943141 0.332392i \(-0.107856\pi\)
−0.868831 + 0.495108i \(0.835128\pi\)
\(272\) −3.75527 2.81116i −0.227697 0.170452i
\(273\) −11.8959 2.58779i −0.719972 0.156620i
\(274\) 9.74615 11.2477i 0.588787 0.679496i
\(275\) −10.9837 19.7788i −0.662344 1.19270i
\(276\) −4.78961 0.244118i −0.288301 0.0146942i
\(277\) −18.6413 18.6413i −1.12004 1.12004i −0.991734 0.128311i \(-0.959045\pi\)
−0.128311 0.991734i \(-0.540955\pi\)
\(278\) −0.0441143 0.616798i −0.00264580 0.0369931i
\(279\) −1.00144 1.55826i −0.0599544 0.0932908i
\(280\) −5.43366 + 2.27341i −0.324723 + 0.135862i
\(281\) −5.88889 + 2.68937i −0.351302 + 0.160434i −0.583247 0.812295i \(-0.698218\pi\)
0.231945 + 0.972729i \(0.425491\pi\)
\(282\) 4.33666 3.24638i 0.258244 0.193319i
\(283\) −22.6027 12.3420i −1.34359 0.733657i −0.363387 0.931638i \(-0.618380\pi\)
−0.980206 + 0.197981i \(0.936562\pi\)
\(284\) 6.03594 9.39210i 0.358167 0.557319i
\(285\) −1.49613 2.13853i −0.0886232 0.126676i
\(286\) −5.89163 + 20.0651i −0.348380 + 1.18647i
\(287\) 25.5403 + 1.82668i 1.50760 + 0.107826i
\(288\) −0.997452 0.0713392i −0.0587754 0.00420370i
\(289\) −1.40997 + 4.80192i −0.0829395 + 0.282466i
\(290\) 2.52352 + 3.60705i 0.148186 + 0.211813i
\(291\) 5.41001 8.41814i 0.317140 0.493480i
\(292\) −0.750234 0.409659i −0.0439042 0.0239735i
\(293\) −18.1982 + 13.6230i −1.06315 + 0.795864i −0.979664 0.200645i \(-0.935696\pi\)
−0.0834858 + 0.996509i \(0.526605\pi\)
\(294\) 0.0558429 0.0255026i 0.00325682 0.00148734i
\(295\) −6.69278 + 2.80023i −0.389669 + 0.163035i
\(296\) −6.34387 9.87125i −0.368730 0.573755i
\(297\) −0.322794 4.51326i −0.0187304 0.261886i
\(298\) −12.3577 12.3577i −0.715863 0.715863i
\(299\) −11.0185 19.2321i −0.637219 1.11222i
\(300\) 4.80738 + 1.37444i 0.277554 + 0.0793531i
\(301\) 0.538028 0.620917i 0.0310114 0.0357891i
\(302\) 9.51753 + 2.07041i 0.547672 + 0.119139i
\(303\) 13.6954 + 10.2522i 0.786780 + 0.588976i
\(304\) 0.484871 + 1.06172i 0.0278092 + 0.0608937i
\(305\) −31.0664 + 3.45201i −1.77886 + 0.197662i
\(306\) 1.32158 + 4.50090i 0.0755498 + 0.257299i
\(307\) 3.89832 + 17.9203i 0.222489 + 1.02277i 0.943893 + 0.330251i \(0.107133\pi\)
−0.721404 + 0.692514i \(0.756503\pi\)
\(308\) 4.16521 + 11.1674i 0.237335 + 0.636319i
\(309\) 13.6033 + 3.99429i 0.773864 + 0.227227i
\(310\) −0.749927 4.07344i −0.0425930 0.231356i
\(311\) 14.3057 + 16.5097i 0.811203 + 0.936179i 0.998940 0.0460408i \(-0.0146604\pi\)
−0.187736 + 0.982220i \(0.560115\pi\)
\(312\) −2.21494 4.05636i −0.125396 0.229646i
\(313\) 2.68796 1.00256i 0.151933 0.0566680i −0.272347 0.962199i \(-0.587800\pi\)
0.424280 + 0.905531i \(0.360527\pi\)
\(314\) −11.6085 7.46030i −0.655103 0.421009i
\(315\) 5.71227 + 1.43631i 0.321850 + 0.0809268i
\(316\) 6.20121 + 0.891600i 0.348845 + 0.0501564i
\(317\) −1.35566 + 3.63466i −0.0761412 + 0.204143i −0.969444 0.245313i \(-0.921109\pi\)
0.893303 + 0.449456i \(0.148382\pi\)
\(318\) 5.26826 7.03757i 0.295429 0.394647i
\(319\) 7.49384 4.81600i 0.419575 0.269644i
\(320\) −2.00310 0.993771i −0.111977 0.0555535i
\(321\) 0.454480i 0.0253666i
\(322\) −11.5962 5.01149i −0.646234 0.279279i
\(323\) 3.87156 3.87156i 0.215419 0.215419i
\(324\) 0.755750 + 0.654861i 0.0419861 + 0.0363812i
\(325\) 6.66826 + 22.1254i 0.369889 + 1.22730i
\(326\) 2.06657 + 14.3733i 0.114457 + 0.796065i
\(327\) 3.09131 + 1.15300i 0.170950 + 0.0637610i
\(328\) 5.82541 + 7.78184i 0.321655 + 0.429680i
\(329\) 13.6915 4.02018i 0.754835 0.221639i
\(330\) 3.16094 9.61128i 0.174004 0.529084i
\(331\) 8.04460 17.6152i 0.442171 0.968220i −0.549023 0.835807i \(-0.685000\pi\)
0.991195 0.132413i \(-0.0422726\pi\)
\(332\) 8.73194 4.76800i 0.479228 0.261678i
\(333\) −0.837092 + 11.7041i −0.0458724 + 0.641380i
\(334\) 0.100162 0.0867912i 0.00548064 0.00474900i
\(335\) 19.2429 18.0442i 1.05135 0.985862i
\(336\) −2.39608 1.09425i −0.130717 0.0596965i
\(337\) −27.7597 + 6.03875i −1.51217 + 0.328952i −0.890738 0.454518i \(-0.849812\pi\)
−0.621430 + 0.783470i \(0.713448\pi\)
\(338\) 4.00653 7.33741i 0.217926 0.399102i
\(339\) −0.891322 + 6.19928i −0.0484100 + 0.336699i
\(340\) −1.08407 + 10.4330i −0.0587921 + 0.565810i
\(341\) −8.29600 + 1.19278i −0.449254 + 0.0645929i
\(342\) 0.248105 1.14052i 0.0134160 0.0616723i
\(343\) 18.5532 1.32695i 1.00178 0.0716486i
\(344\) 0.311903 0.0168167
\(345\) 5.02927 + 9.47135i 0.270767 + 0.509920i
\(346\) 2.00688 0.107891
\(347\) −10.8188 + 0.773779i −0.580786 + 0.0415387i −0.358642 0.933475i \(-0.616760\pi\)
−0.222144 + 0.975014i \(0.571306\pi\)
\(348\) −0.418478 + 1.92371i −0.0224327 + 0.103122i
\(349\) −10.7522 + 1.54593i −0.575552 + 0.0827518i −0.423943 0.905689i \(-0.639354\pi\)
−0.151608 + 0.988441i \(0.548445\pi\)
\(350\) 10.5996 + 7.81751i 0.566573 + 0.417864i
\(351\) −0.657735 + 4.57465i −0.0351073 + 0.244177i
\(352\) −2.16850 + 3.97131i −0.115581 + 0.211671i
\(353\) 15.8844 3.45543i 0.845440 0.183914i 0.231075 0.972936i \(-0.425776\pi\)
0.614365 + 0.789022i \(0.289412\pi\)
\(354\) −2.95132 1.34782i −0.156861 0.0716360i
\(355\) −24.9515 0.802126i −1.32429 0.0425724i
\(356\) −10.7100 + 9.28028i −0.567630 + 0.491854i
\(357\) −0.881498 + 12.3250i −0.0466538 + 0.652306i
\(358\) −14.3725 + 7.84797i −0.759609 + 0.414778i
\(359\) 4.16390 9.11768i 0.219762 0.481213i −0.767352 0.641226i \(-0.778426\pi\)
0.987115 + 0.160013i \(0.0511536\pi\)
\(360\) 1.00802 + 1.99597i 0.0531274 + 0.105197i
\(361\) 16.9232 4.96910i 0.890695 0.261532i
\(362\) 5.36977 + 7.17317i 0.282229 + 0.377013i
\(363\) −8.87635 3.31071i −0.465888 0.173767i
\(364\) −1.73256 12.0502i −0.0908106 0.631601i
\(365\) 0.0750280 + 1.90990i 0.00392715 + 0.0999689i
\(366\) −10.5645 9.15417i −0.552214 0.478496i
\(367\) 0.654177 0.654177i 0.0341478 0.0341478i −0.689827 0.723974i \(-0.742313\pi\)
0.723974 + 0.689827i \(0.242313\pi\)
\(368\) −1.44507 4.57294i −0.0753296 0.238381i
\(369\) 9.72072i 0.506041i
\(370\) −11.6609 + 23.5044i −0.606220 + 1.22193i
\(371\) 19.4806 12.5194i 1.01138 0.649976i
\(372\) 1.11005 1.48285i 0.0575534 0.0768823i
\(373\) 11.3662 30.4739i 0.588518 1.57788i −0.211161 0.977451i \(-0.567724\pi\)
0.799679 0.600427i \(-0.205003\pi\)
\(374\) 21.0093 + 3.02068i 1.08637 + 0.156196i
\(375\) −2.88062 10.8029i −0.148755 0.557858i
\(376\) 4.55721 + 2.92874i 0.235020 + 0.151038i
\(377\) −8.52505 + 3.17968i −0.439062 + 0.163762i
\(378\) 1.26240 + 2.31192i 0.0649309 + 0.118912i
\(379\) −18.0203 20.7966i −0.925642 1.06825i −0.997488 0.0708316i \(-0.977435\pi\)
0.0718468 0.997416i \(-0.477111\pi\)
\(380\) 1.48085 2.14914i 0.0759661 0.110249i
\(381\) −6.76829 1.98735i −0.346750 0.101815i
\(382\) 2.72312 + 7.30097i 0.139327 + 0.373550i
\(383\) −7.19431 33.0717i −0.367612 1.68989i −0.674608 0.738176i \(-0.735688\pi\)
0.306996 0.951711i \(-0.400676\pi\)
\(384\) −0.281733 0.959493i −0.0143771 0.0489639i
\(385\) 16.6488 20.8113i 0.848503 1.06064i
\(386\) −1.95489 4.28062i −0.0995014 0.217878i
\(387\) −0.249691 0.186916i −0.0126925 0.00950149i
\(388\) 9.77798 + 2.12707i 0.496402 + 0.107986i
\(389\) 6.61191 7.63055i 0.335237 0.386884i −0.562955 0.826488i \(-0.690335\pi\)
0.898192 + 0.439603i \(0.144881\pi\)
\(390\) −5.24164 + 8.90648i −0.265421 + 0.450997i
\(391\) −17.7298 + 13.8477i −0.896636 + 0.700311i
\(392\) 0.0434097 + 0.0434097i 0.00219252 + 0.00219252i
\(393\) −0.897407 12.5474i −0.0452682 0.632932i
\(394\) −4.26883 6.64243i −0.215061 0.334641i
\(395\) −5.40707 12.9234i −0.272059 0.650245i
\(396\) 4.11589 1.87966i 0.206831 0.0944566i
\(397\) −25.5806 + 19.1494i −1.28385 + 0.961081i −0.283856 + 0.958867i \(0.591614\pi\)
−0.999998 + 0.00221370i \(0.999295\pi\)
\(398\) 14.0565 + 7.67545i 0.704590 + 0.384735i
\(399\) 1.66222 2.58647i 0.0832151 0.129485i
\(400\) 0.392231 + 4.98459i 0.0196116 + 0.249230i
\(401\) −1.37408 + 4.67969i −0.0686183 + 0.233693i −0.986661 0.162789i \(-0.947951\pi\)
0.918043 + 0.396482i \(0.129769\pi\)
\(402\) 11.7673 + 0.841611i 0.586898 + 0.0419758i
\(403\) 8.53900 + 0.610721i 0.425358 + 0.0304222i
\(404\) −4.81979 + 16.4147i −0.239793 + 0.816661i
\(405\) 0.389177 2.20194i 0.0193383 0.109415i
\(406\) −2.80366 + 4.36258i −0.139143 + 0.216511i
\(407\) 46.5992 + 25.4451i 2.30984 + 1.26127i
\(408\) −3.75527 + 2.81116i −0.185913 + 0.139173i
\(409\) −11.4633 + 5.23509i −0.566822 + 0.258859i −0.678148 0.734925i \(-0.737217\pi\)
0.111327 + 0.993784i \(0.464490\pi\)
\(410\) 8.24647 20.1111i 0.407264 0.993218i
\(411\) −8.04624 12.5202i −0.396892 0.617576i
\(412\) 1.01142 + 14.1415i 0.0498289 + 0.696700i
\(413\) −6.04327 6.04327i −0.297370 0.297370i
\(414\) −1.58362 + 4.52683i −0.0778307 + 0.222481i
\(415\) −19.1726 11.2834i −0.941144 0.553882i
\(416\) 3.02656 3.49284i 0.148389 0.171251i
\(417\) −0.604242 0.131445i −0.0295899 0.00643688i
\(418\) −4.22790 3.16497i −0.206794 0.154804i
\(419\) 0.511535 + 1.12011i 0.0249901 + 0.0547208i 0.921715 0.387867i \(-0.126788\pi\)
−0.896725 + 0.442587i \(0.854061\pi\)
\(420\) 0.650486 + 5.85405i 0.0317405 + 0.285648i
\(421\) −2.89748 9.86790i −0.141214 0.480932i 0.858265 0.513207i \(-0.171543\pi\)
−0.999479 + 0.0322753i \(0.989725\pi\)
\(422\) 0.450117 + 2.06915i 0.0219113 + 0.100725i
\(423\) −1.89310 5.07561i −0.0920459 0.246784i
\(424\) 8.43492 + 2.47672i 0.409636 + 0.120280i
\(425\) 21.2650 9.89518i 1.03151 0.479987i
\(426\) −7.31113 8.43750i −0.354226 0.408798i
\(427\) −17.6469 32.3178i −0.853992 1.56397i
\(428\) 0.425825 0.158825i 0.0205830 0.00767708i
\(429\) 17.5924 + 11.3060i 0.849370 + 0.545857i
\(430\) −0.358016 0.598533i −0.0172651 0.0288638i
\(431\) 20.5071 + 2.94848i 0.987794 + 0.142023i 0.617229 0.786783i \(-0.288255\pi\)
0.370565 + 0.928807i \(0.379164\pi\)
\(432\) −0.349464 + 0.936950i −0.0168136 + 0.0450790i
\(433\) 2.47490 3.30608i 0.118936 0.158880i −0.737122 0.675760i \(-0.763816\pi\)
0.856058 + 0.516880i \(0.172907\pi\)
\(434\) 4.10466 2.63791i 0.197030 0.126624i
\(435\) 4.17189 1.40507i 0.200027 0.0673681i
\(436\) 3.29933i 0.158009i
\(437\) 5.52323 0.909906i 0.264212 0.0435267i
\(438\) −0.604430 + 0.604430i −0.0288808 + 0.0288808i
\(439\) 7.81634 + 6.77289i 0.373053 + 0.323253i 0.821129 0.570743i \(-0.193345\pi\)
−0.448075 + 0.893996i \(0.647890\pi\)
\(440\) 10.1099 0.397155i 0.481972 0.0189336i
\(441\) −0.00873679 0.0607657i −0.000416038 0.00289361i
\(442\) −20.3130 7.57636i −0.966191 0.360371i
\(443\) 12.2820 + 16.4068i 0.583534 + 0.779510i 0.991022 0.133701i \(-0.0426860\pi\)
−0.407488 + 0.913211i \(0.633595\pi\)
\(444\) −11.2587 + 3.30584i −0.534313 + 0.156888i
\(445\) 30.1020 + 9.89991i 1.42697 + 0.469301i
\(446\) −3.26406 + 7.14729i −0.154558 + 0.338434i
\(447\) −15.3387 + 8.37557i −0.725496 + 0.396151i
\(448\) 0.187916 2.62741i 0.00887821 0.124134i
\(449\) −2.94267 + 2.54984i −0.138873 + 0.120334i −0.721527 0.692386i \(-0.756560\pi\)
0.582654 + 0.812720i \(0.302014\pi\)
\(450\) 2.67316 4.22543i 0.126014 0.199189i
\(451\) −40.0094 18.2717i −1.88397 0.860380i
\(452\) −6.11990 + 1.33130i −0.287856 + 0.0626192i
\(453\) 4.66794 8.54870i 0.219319 0.401653i
\(454\) −4.06755 + 28.2904i −0.190900 + 1.32774i
\(455\) −21.1353 + 17.1565i −0.990837 + 0.804307i
\(456\) 1.15532 0.166109i 0.0541026 0.00777878i
\(457\) −6.84106 + 31.4478i −0.320011 + 1.47107i 0.483272 + 0.875470i \(0.339448\pi\)
−0.803283 + 0.595597i \(0.796915\pi\)
\(458\) −25.4202 + 1.81809i −1.18781 + 0.0849537i
\(459\) 4.69091 0.218953
\(460\) −7.11662 + 8.02207i −0.331814 + 0.374031i
\(461\) −23.9834 −1.11702 −0.558508 0.829499i \(-0.688626\pi\)
−0.558508 + 0.829499i \(0.688626\pi\)
\(462\) 11.8885 0.850280i 0.553102 0.0395586i
\(463\) −1.35808 + 6.24301i −0.0631155 + 0.290137i −0.997876 0.0651410i \(-0.979250\pi\)
0.934761 + 0.355278i \(0.115614\pi\)
\(464\) −1.94866 + 0.280175i −0.0904644 + 0.0130068i
\(465\) −4.11972 0.428070i −0.191047 0.0198513i
\(466\) 1.42729 9.92700i 0.0661178 0.459859i
\(467\) 6.87683 12.5940i 0.318222 0.582780i −0.668785 0.743455i \(-0.733186\pi\)
0.987007 + 0.160676i \(0.0513673\pi\)
\(468\) −4.51607 + 0.982411i −0.208755 + 0.0454120i
\(469\) 28.2674 + 12.9093i 1.30527 + 0.596095i
\(470\) 0.389205 12.1069i 0.0179527 0.558449i
\(471\) −10.4286 + 9.03642i −0.480524 + 0.416376i
\(472\) 0.231462 3.23626i 0.0106539 0.148961i
\(473\) −1.23866 + 0.676361i −0.0569537 + 0.0310991i
\(474\) 2.60257 5.69883i 0.119540 0.261756i
\(475\) −5.82393 0.374836i −0.267220 0.0171987i
\(476\) −11.8559 + 3.48121i −0.543415 + 0.159561i
\(477\) −5.26826 7.03757i −0.241217 0.322228i
\(478\) −5.51127 2.05560i −0.252080 0.0940208i
\(479\) 0.385202 + 2.67914i 0.0176003 + 0.122413i 0.996727 0.0808360i \(-0.0257590\pi\)
−0.979127 + 0.203249i \(0.934850\pi\)
\(480\) −1.51786 + 1.64199i −0.0692803 + 0.0749460i
\(481\) −40.9849 35.5136i −1.86875 1.61928i
\(482\) 12.6082 12.6082i 0.574290 0.574290i
\(483\) −8.07553 + 9.71462i −0.367449 + 0.442031i
\(484\) 9.47367i 0.430621i
\(485\) −7.14181 21.2052i −0.324293 0.962879i
\(486\) 0.841254 0.540641i 0.0381600 0.0245240i
\(487\) −7.14348 + 9.54258i −0.323702 + 0.432415i −0.932643 0.360800i \(-0.882504\pi\)
0.608941 + 0.793215i \(0.291595\pi\)
\(488\) 4.88509 13.0974i 0.221138 0.592893i
\(489\) 14.3733 + 2.06657i 0.649984 + 0.0934536i
\(490\) 0.0334744 0.133130i 0.00151222 0.00601418i
\(491\) −10.3173 6.63055i −0.465615 0.299232i 0.286719 0.958015i \(-0.407435\pi\)
−0.752334 + 0.658782i \(0.771072\pi\)
\(492\) 9.10783 3.39704i 0.410613 0.153151i
\(493\) 4.42587 + 8.10537i 0.199331 + 0.365047i
\(494\) 3.53259 + 4.07683i 0.158939 + 0.183425i
\(495\) −8.33142 5.74071i −0.374469 0.258026i
\(496\) 1.77728 + 0.521857i 0.0798022 + 0.0234321i
\(497\) −10.2772 27.5542i −0.460995 1.23598i
\(498\) −2.11479 9.72154i −0.0947661 0.435633i
\(499\) 8.40131 + 28.6122i 0.376094 + 1.28086i 0.902523 + 0.430641i \(0.141712\pi\)
−0.526429 + 0.850219i \(0.676469\pi\)
\(500\) 9.11507 6.47422i 0.407638 0.289536i
\(501\) −0.0550565 0.120557i −0.00245974 0.00538609i
\(502\) −12.0651 9.03179i −0.538490 0.403108i
\(503\) −12.6183 2.74495i −0.562623 0.122391i −0.0777457 0.996973i \(-0.524772\pi\)
−0.484878 + 0.874582i \(0.661136\pi\)
\(504\) −1.72498 + 1.99074i −0.0768369 + 0.0886745i
\(505\) 37.0317 9.59246i 1.64789 0.426859i
\(506\) 15.6552 + 15.0269i 0.695960 + 0.668028i
\(507\) −5.91142 5.91142i −0.262535 0.262535i
\(508\) −0.503228 7.03605i −0.0223271 0.312174i
\(509\) 19.9307 + 31.0127i 0.883412 + 1.37462i 0.926799 + 0.375557i \(0.122549\pi\)
−0.0433878 + 0.999058i \(0.513815\pi\)
\(510\) 9.70500 + 3.97948i 0.429744 + 0.176214i
\(511\) −2.04816 + 0.935362i −0.0906051 + 0.0413780i
\(512\) 0.800541 0.599278i 0.0353793 0.0264846i
\(513\) −1.02442 0.559377i −0.0452294 0.0246971i
\(514\) 11.4252 17.7780i 0.503945 0.784154i
\(515\) 25.9761 18.1731i 1.14464 0.800801i
\(516\) 0.0878732 0.299269i 0.00386840 0.0131746i
\(517\) −24.4490 1.74863i −1.07527 0.0769046i
\(518\) −30.8300 2.20500i −1.35459 0.0968824i
\(519\) 0.565405 1.92559i 0.0248185 0.0845241i
\(520\) −10.1767 1.79865i −0.446277 0.0788762i
\(521\) −15.8799 + 24.7096i −0.695711 + 1.08255i 0.296140 + 0.955144i \(0.404300\pi\)
−0.991851 + 0.127403i \(0.959336\pi\)
\(522\) 1.72789 + 0.943498i 0.0756276 + 0.0412958i
\(523\) −7.85071 + 5.87697i −0.343288 + 0.256982i −0.756985 0.653433i \(-0.773328\pi\)
0.413697 + 0.910415i \(0.364237\pi\)
\(524\) 11.4427 5.22569i 0.499875 0.228285i
\(525\) 10.4871 7.96780i 0.457695 0.347743i
\(526\) 12.2636 + 19.0826i 0.534720 + 0.832041i
\(527\) −0.619868 8.66689i −0.0270019 0.377536i
\(528\) 3.19951 + 3.19951i 0.139241 + 0.139241i
\(529\) −22.9807 + 0.941614i −0.999162 + 0.0409398i
\(530\) −4.92922 19.0293i −0.214112 0.826578i
\(531\) −2.12471 + 2.45205i −0.0922046 + 0.106410i
\(532\) 3.00427 + 0.653540i 0.130252 + 0.0283346i
\(533\) 35.9652 + 26.9232i 1.55783 + 1.16618i
\(534\) 5.88701 + 12.8907i 0.254756 + 0.557837i
\(535\) −0.793561 0.634841i −0.0343086 0.0274466i
\(536\) 3.32369 + 11.3194i 0.143562 + 0.488926i
\(537\) 3.48087 + 16.0013i 0.150211 + 0.690508i
\(538\) −7.47512 20.0416i −0.322275 0.864054i
\(539\) −0.266527 0.0782594i −0.0114801 0.00337087i
\(540\) 2.19911 0.404860i 0.0946347 0.0174224i
\(541\) 3.54518 + 4.09135i 0.152419 + 0.175901i 0.826824 0.562461i \(-0.190145\pi\)
−0.674405 + 0.738362i \(0.735600\pi\)
\(542\) 1.41127 + 2.58456i 0.0606194 + 0.111016i
\(543\) 8.39544 3.13134i 0.360283 0.134379i
\(544\) −3.94625 2.53610i −0.169194 0.108734i
\(545\) 6.33133 3.78712i 0.271204 0.162222i
\(546\) −12.0502 1.73256i −0.515700 0.0741465i
\(547\) −2.78435 + 7.46514i −0.119050 + 0.319186i −0.982783 0.184764i \(-0.940848\pi\)
0.863733 + 0.503951i \(0.168121\pi\)
\(548\) 8.91892 11.9143i 0.380997 0.508953i
\(549\) −11.7597 + 7.55752i −0.501893 + 0.322547i
\(550\) −12.3667 18.9448i −0.527320 0.807809i
\(551\) 2.29786i 0.0978921i
\(552\) −4.79483 + 0.0981907i −0.204081 + 0.00417927i
\(553\) 11.6692 11.6692i 0.496225 0.496225i
\(554\) −19.9236 17.2639i −0.846473 0.733473i
\(555\) 19.2670 + 17.8105i 0.817839 + 0.756013i
\(556\) −0.0880038 0.612080i −0.00373219 0.0259580i
\(557\) −19.4621 7.25898i −0.824634 0.307573i −0.0985100 0.995136i \(-0.531408\pi\)
−0.726124 + 0.687563i \(0.758680\pi\)
\(558\) −1.11005 1.48285i −0.0469921 0.0627741i
\(559\) 1.38313 0.406123i 0.0585000 0.0171772i
\(560\) −5.25763 + 2.65525i −0.222175 + 0.112205i
\(561\) 8.81733 19.3073i 0.372268 0.815153i
\(562\) −5.68203 + 3.10262i −0.239682 + 0.130876i
\(563\) −0.851538 + 11.9061i −0.0358881 + 0.501781i 0.947439 + 0.319936i \(0.103661\pi\)
−0.983327 + 0.181845i \(0.941793\pi\)
\(564\) 4.09402 3.54749i 0.172389 0.149376i
\(565\) 9.57943 + 10.2158i 0.403009 + 0.429782i
\(566\) −23.4256 10.6981i −0.984652 0.449675i
\(567\) 2.57393 0.559923i 0.108095 0.0235146i
\(568\) 5.35053 9.79877i 0.224503 0.411147i
\(569\) 3.17428 22.0776i 0.133073 0.925541i −0.808444 0.588574i \(-0.799690\pi\)
0.941516 0.336967i \(-0.109401\pi\)
\(570\) −1.64488 2.02635i −0.0688965 0.0848745i
\(571\) 9.69085 1.39333i 0.405549 0.0583092i 0.0634781 0.997983i \(-0.479781\pi\)
0.342071 + 0.939674i \(0.388872\pi\)
\(572\) −4.44520 + 20.4342i −0.185863 + 0.854398i
\(573\) 7.77242 0.555895i 0.324698 0.0232228i
\(574\) 25.6056 1.06876
\(575\) 23.5629 + 4.44851i 0.982641 + 0.185516i
\(576\) −1.00000 −0.0416667
\(577\) 25.3476 1.81290i 1.05524 0.0754719i 0.467076 0.884217i \(-0.345307\pi\)
0.588159 + 0.808745i \(0.299853\pi\)
\(578\) −1.06381 + 4.89027i −0.0442488 + 0.203409i
\(579\) −4.65798 + 0.669716i −0.193579 + 0.0278324i
\(580\) 2.77441 + 3.41783i 0.115201 + 0.141918i
\(581\) 3.72959 25.9399i 0.154730 1.07617i
\(582\) 4.79568 8.78263i 0.198787 0.364052i
\(583\) −38.8684 + 8.45530i −1.60976 + 0.350183i
\(584\) −0.777548 0.355094i −0.0321752 0.0146939i
\(585\) 7.06896 + 7.53856i 0.292266 + 0.311681i
\(586\) −17.1800 + 14.8865i −0.709698 + 0.614957i
\(587\) 1.14757 16.0452i 0.0473654 0.662255i −0.917203 0.398421i \(-0.869558\pi\)
0.964568 0.263834i \(-0.0849871\pi\)
\(588\) 0.0538812 0.0294214i 0.00222202 0.00121332i
\(589\) −0.898132 + 1.96663i −0.0370069 + 0.0810337i
\(590\) −6.47597 + 3.27055i −0.266611 + 0.134646i
\(591\) −7.57603 + 2.22452i −0.311636 + 0.0915047i
\(592\) −7.03191 9.39353i −0.289010 0.386072i
\(593\) 8.78672 + 3.27728i 0.360828 + 0.134582i 0.523338 0.852125i \(-0.324686\pi\)
−0.162511 + 0.986707i \(0.551959\pi\)
\(594\) −0.643944 4.47873i −0.0264213 0.183764i
\(595\) 20.2891 + 18.7553i 0.831772 + 0.768892i
\(596\) −13.2078 11.4446i −0.541013 0.468791i
\(597\) 11.3247 11.3247i 0.463490 0.463490i
\(598\) −12.3625 18.3970i −0.505539 0.752309i
\(599\) 31.6731i 1.29413i 0.762436 + 0.647064i \(0.224003\pi\)
−0.762436 + 0.647064i \(0.775997\pi\)
\(600\) 4.89319 + 1.02798i 0.199763 + 0.0419670i
\(601\) −27.5536 + 17.7076i −1.12393 + 0.722309i −0.964285 0.264865i \(-0.914673\pi\)
−0.159649 + 0.987174i \(0.551036\pi\)
\(602\) 0.492361 0.657717i 0.0200671 0.0268066i
\(603\) 4.12274 11.0535i 0.167891 0.450133i
\(604\) 9.64098 + 1.38616i 0.392286 + 0.0564022i
\(605\) −18.1797 + 10.8743i −0.739110 + 0.442103i
\(606\) 14.3919 + 9.24910i 0.584630 + 0.375719i
\(607\) −17.2095 + 6.41880i −0.698511 + 0.260531i −0.673533 0.739157i \(-0.735224\pi\)
−0.0249775 + 0.999688i \(0.507951\pi\)
\(608\) 0.559377 + 1.02442i 0.0226857 + 0.0415458i
\(609\) 3.39598 + 3.91917i 0.137612 + 0.158813i
\(610\) −30.7410 + 5.65946i −1.24466 + 0.229145i
\(611\) 24.0223 + 7.05358i 0.971838 + 0.285357i
\(612\) 1.63931 + 4.39515i 0.0662650 + 0.177663i
\(613\) 7.75578 + 35.6527i 0.313253 + 1.44000i 0.817244 + 0.576292i \(0.195501\pi\)
−0.503991 + 0.863709i \(0.668135\pi\)
\(614\) 5.16681 + 17.5965i 0.208515 + 0.710138i
\(615\) −16.9732 13.5784i −0.684425 0.547534i
\(616\) 4.95127 + 10.8418i 0.199492 + 0.436827i
\(617\) 11.5395 + 8.63835i 0.464562 + 0.347767i 0.805778 0.592218i \(-0.201748\pi\)
−0.341215 + 0.939985i \(0.610839\pi\)
\(618\) 13.8536 + 3.01366i 0.557273 + 0.121227i
\(619\) −6.05581 + 6.98877i −0.243403 + 0.280903i −0.864286 0.503001i \(-0.832229\pi\)
0.620882 + 0.783904i \(0.286775\pi\)
\(620\) −1.03861 4.00956i −0.0417117 0.161028i
\(621\) 3.89730 + 2.79483i 0.156393 + 0.112153i
\(622\) 15.4471 + 15.4471i 0.619371 + 0.619371i
\(623\) 2.66303 + 37.2341i 0.106692 + 1.49175i
\(624\) −2.49867 3.88801i −0.100027 0.155645i
\(625\) −22.8865 10.0602i −0.915461 0.402407i
\(626\) 2.60959 1.19176i 0.104300 0.0476324i
\(627\) −4.22790 + 3.16497i −0.168846 + 0.126397i
\(628\) −12.1111 6.61316i −0.483285 0.263894i
\(629\) −29.7585 + 46.3051i −1.18655 + 1.84631i
\(630\) 5.80018 + 1.02514i 0.231085 + 0.0408425i
\(631\) 4.92393 16.7694i 0.196018 0.667577i −0.801553 0.597924i \(-0.795992\pi\)
0.997571 0.0696534i \(-0.0221893\pi\)
\(632\) 6.24902 + 0.446939i 0.248573 + 0.0177783i
\(633\) 2.11215 + 0.151064i 0.0839505 + 0.00600425i
\(634\) −1.09291 + 3.72211i −0.0434050 + 0.147824i
\(635\) −12.9244 + 9.04197i −0.512888 + 0.358820i
\(636\) 4.75278 7.39547i 0.188460 0.293250i
\(637\) 0.249022 + 0.135976i 0.00986662 + 0.00538758i
\(638\) 7.13118 5.33833i 0.282326 0.211347i
\(639\) −10.1555 + 4.63786i −0.401746 + 0.183471i
\(640\) −2.06889 0.848339i −0.0817802 0.0335335i
\(641\) 17.3208 + 26.9518i 0.684132 + 1.06453i 0.993527 + 0.113597i \(0.0362372\pi\)
−0.309395 + 0.950934i \(0.600126\pi\)
\(642\) −0.0324222 0.453322i −0.00127960 0.0178912i
\(643\) 14.6215 + 14.6215i 0.576617 + 0.576617i 0.933970 0.357352i \(-0.116320\pi\)
−0.357352 + 0.933970i \(0.616320\pi\)
\(644\) −11.9242 4.17145i −0.469880 0.164378i
\(645\) −0.675153 + 0.174887i −0.0265841 + 0.00688619i
\(646\) 3.58550 4.13789i 0.141070 0.162803i
\(647\) 31.3444 + 6.81856i 1.23228 + 0.268065i 0.781120 0.624381i \(-0.214649\pi\)
0.451155 + 0.892446i \(0.351012\pi\)
\(648\) 0.800541 + 0.599278i 0.0314482 + 0.0235419i
\(649\) 6.09861 + 13.3541i 0.239391 + 0.524194i
\(650\) 8.22968 + 21.5933i 0.322795 + 0.846961i
\(651\) −1.37464 4.68158i −0.0538762 0.183485i
\(652\) 3.08669 + 14.1893i 0.120884 + 0.555695i
\(653\) 2.01249 + 5.39568i 0.0787546 + 0.211149i 0.970360 0.241664i \(-0.0776931\pi\)
−0.891605 + 0.452813i \(0.850420\pi\)
\(654\) 3.16569 + 0.929529i 0.123788 + 0.0363475i
\(655\) −23.1623 15.9599i −0.905028 0.623604i
\(656\) 6.36572 + 7.34643i 0.248540 + 0.286830i
\(657\) 0.409659 + 0.750234i 0.0159823 + 0.0292694i
\(658\) 13.3698 4.98667i 0.521208 0.194401i
\(659\) 3.98564 + 2.56142i 0.155258 + 0.0997786i 0.615963 0.787775i \(-0.288767\pi\)
−0.460705 + 0.887553i \(0.652403\pi\)
\(660\) 2.46723 9.81229i 0.0960367 0.381943i
\(661\) −8.65317 1.24414i −0.336569 0.0483913i −0.0280417 0.999607i \(-0.508927\pi\)
−0.308528 + 0.951215i \(0.599836\pi\)
\(662\) 6.76745 18.1442i 0.263024 0.705196i
\(663\) −12.9923 + 17.3557i −0.504579 + 0.674039i
\(664\) 8.36955 5.37878i 0.324801 0.208737i
\(665\) −2.19431 6.51528i −0.0850919 0.252652i
\(666\) 11.7340i 0.454682i
\(667\) −1.15205 + 9.37101i −0.0446076 + 0.362847i
\(668\) 0.0937155 0.0937155i 0.00362596 0.00362596i
\(669\) 5.93818 + 5.14546i 0.229583 + 0.198935i
\(670\) 17.9066 19.3710i 0.691793 0.748368i
\(671\) 9.00157 + 62.6073i 0.347502 + 2.41693i
\(672\) −2.46804 0.920532i −0.0952068 0.0355103i
\(673\) −13.9490 18.6337i −0.537696 0.718278i 0.446614 0.894727i \(-0.352630\pi\)
−0.984310 + 0.176449i \(0.943539\pi\)
\(674\) −27.2582 + 8.00372i −1.04995 + 0.308292i
\(675\) −3.30115 3.75532i −0.127061 0.144542i
\(676\) 3.47287 7.60454i 0.133572 0.292482i
\(677\) 5.02226 2.74236i 0.193021 0.105398i −0.379832 0.925055i \(-0.624018\pi\)
0.572853 + 0.819658i \(0.305836\pi\)
\(678\) −0.446800 + 6.24707i −0.0171592 + 0.239917i
\(679\) 19.9206 17.2613i 0.764484 0.662429i
\(680\) −0.337027 + 10.4838i −0.0129244 + 0.402035i
\(681\) 25.9985 + 11.8731i 0.996265 + 0.454979i
\(682\) −8.18977 + 1.78158i −0.313603 + 0.0682201i
\(683\) 8.50666 15.5788i 0.325498 0.596105i −0.662772 0.748821i \(-0.730620\pi\)
0.988270 + 0.152716i \(0.0488020\pi\)
\(684\) 0.166109 1.15532i 0.00635135 0.0441746i
\(685\) −33.1007 3.43942i −1.26471 0.131413i
\(686\) 18.4113 2.64714i 0.702945 0.101068i
\(687\) −5.41725 + 24.9027i −0.206681 + 0.950098i
\(688\) 0.311108 0.0222509i 0.0118609 0.000848307i
\(689\) 40.6293 1.54785
\(690\) 5.69214 + 9.08843i 0.216696 + 0.345991i
\(691\) 3.65274 0.138957 0.0694783 0.997583i \(-0.477867\pi\)
0.0694783 + 0.997583i \(0.477867\pi\)
\(692\) 2.00177 0.143169i 0.0760959 0.00544249i
\(693\) 2.53353 11.6465i 0.0962409 0.442412i
\(694\) −10.7361 + 1.54362i −0.407536 + 0.0585949i
\(695\) −1.07355 + 0.871449i −0.0407221 + 0.0330559i
\(696\) −0.280175 + 1.94866i −0.0106200 + 0.0738639i
\(697\) 21.8533 40.0213i 0.827752 1.51592i
\(698\) −10.6145 + 2.30905i −0.401765 + 0.0873986i
\(699\) −9.12277 4.16623i −0.345055 0.157581i
\(700\) 11.1303 + 7.04143i 0.420686 + 0.266141i
\(701\) 11.5419 10.0011i 0.435931 0.377736i −0.409069 0.912504i \(-0.634146\pi\)
0.844999 + 0.534768i \(0.179601\pi\)
\(702\) −0.329708 + 4.60991i −0.0124440 + 0.173990i
\(703\) 12.0206 6.56372i 0.453364 0.247555i
\(704\) −1.87966 + 4.11589i −0.0708425 + 0.155123i
\(705\) −11.5068 3.78434i −0.433372 0.142527i
\(706\) 15.5974 4.57981i 0.587016 0.172363i
\(707\) 27.0057 + 36.0754i 1.01565 + 1.35675i
\(708\) −3.03995 1.13384i −0.114248 0.0426125i
\(709\) 5.57636 + 38.7844i 0.209425 + 1.45658i 0.775040 + 0.631912i \(0.217729\pi\)
−0.565616 + 0.824669i \(0.691361\pi\)
\(710\) −24.9451 + 0.979937i −0.936175 + 0.0367764i
\(711\) −4.73476 4.10269i −0.177567 0.153863i
\(712\) −10.0207 + 10.0207i −0.375541 + 0.375541i
\(713\) 4.64870 7.56994i 0.174095 0.283496i
\(714\) 12.3564i 0.462428i
\(715\) 44.3151 14.9251i 1.65729 0.558168i
\(716\) −13.7760 + 8.85329i −0.514833 + 0.330863i
\(717\) −3.52504 + 4.70890i −0.131645 + 0.175857i
\(718\) 3.50285 9.39150i 0.130725 0.350488i
\(719\) 49.4765 + 7.11365i 1.84516 + 0.265294i 0.974139 0.225949i \(-0.0725483\pi\)
0.871022 + 0.491243i \(0.163457\pi\)
\(720\) 1.14784 + 1.91897i 0.0427776 + 0.0715159i
\(721\) 31.4170 + 20.1905i 1.17003 + 0.751934i
\(722\) 16.5256 6.16373i 0.615019 0.229390i
\(723\) −8.54537 15.6497i −0.317806 0.582018i
\(724\) 5.86781 + 6.77182i 0.218076 + 0.251673i
\(725\) 3.37413 9.24715i 0.125312 0.343431i
\(726\) −9.08992 2.66904i −0.337358 0.0990574i
\(727\) 3.35725 + 9.00113i 0.124513 + 0.333833i 0.984219 0.176957i \(-0.0566254\pi\)
−0.859705 + 0.510791i \(0.829353\pi\)
\(728\) −2.58779 11.8959i −0.0959099 0.440891i
\(729\) −0.281733 0.959493i −0.0104345 0.0355368i
\(730\) 0.211088 + 1.89969i 0.00781271 + 0.0703105i
\(731\) −0.607797 1.33089i −0.0224802 0.0492248i
\(732\) −11.1906 8.37719i −0.413617 0.309630i
\(733\) 8.82527 + 1.91982i 0.325969 + 0.0709102i 0.372572 0.928003i \(-0.378476\pi\)
−0.0466032 + 0.998913i \(0.514840\pi\)
\(734\) 0.605842 0.699179i 0.0223620 0.0258072i
\(735\) −0.118306 0.0696254i −0.00436379 0.00256817i
\(736\) −1.76762 4.45820i −0.0651553 0.164331i
\(737\) −37.7456 37.7456i −1.39038 1.39038i
\(738\) −0.693468 9.69595i −0.0255269 0.356913i
\(739\) 10.2985 + 16.0248i 0.378836 + 0.589480i 0.977349 0.211633i \(-0.0678780\pi\)
−0.598513 + 0.801113i \(0.704242\pi\)
\(740\) −9.95439 + 24.2763i −0.365931 + 0.892416i
\(741\) 4.90693 2.24092i 0.180261 0.0823223i
\(742\) 18.5378 13.8772i 0.680545 0.509450i
\(743\) 25.1199 + 13.7165i 0.921560 + 0.503210i 0.868670 0.495390i \(-0.164975\pi\)
0.0528899 + 0.998600i \(0.483157\pi\)
\(744\) 1.00144 1.55826i 0.0367144 0.0571287i
\(745\) −6.80142 + 38.4821i −0.249185 + 1.40987i
\(746\) 9.16323 31.2071i 0.335490 1.14257i
\(747\) −9.92355 0.709747i −0.363084 0.0259683i
\(748\) 21.1713 + 1.51420i 0.774099 + 0.0553646i
\(749\) 0.337278 1.14866i 0.0123239 0.0419713i
\(750\) −3.64395 10.5698i −0.133058 0.385956i
\(751\) −25.7265 + 40.0312i −0.938773 + 1.46076i −0.0519508 + 0.998650i \(0.516544\pi\)
−0.886823 + 0.462110i \(0.847092\pi\)
\(752\) 4.75453 + 2.59617i 0.173380 + 0.0946725i
\(753\) −12.0651 + 9.03179i −0.439675 + 0.329137i
\(754\) −8.27649 + 3.77975i −0.301412 + 0.137650i
\(755\) −8.40633 20.0919i −0.305938 0.731218i
\(756\) 1.42411 + 2.21597i 0.0517946 + 0.0805939i
\(757\) 0.501993 + 7.01877i 0.0182452 + 0.255102i 0.998386 + 0.0567973i \(0.0180889\pi\)
−0.980140 + 0.198304i \(0.936457\pi\)
\(758\) −19.4580 19.4580i −0.706747 0.706747i
\(759\) 18.8288 10.7875i 0.683442 0.391562i
\(760\) 1.32376 2.24931i 0.0480179 0.0815910i
\(761\) 14.7426 17.0139i 0.534419 0.616752i −0.422763 0.906240i \(-0.638940\pi\)
0.957182 + 0.289488i \(0.0934850\pi\)
\(762\) −6.89282 1.49944i −0.249700 0.0543190i
\(763\) 6.95739 + 5.20823i 0.251874 + 0.188551i
\(764\) 3.23703 + 7.08811i 0.117112 + 0.256439i
\(765\) 6.55250 8.19073i 0.236906 0.296136i
\(766\) −9.53529 32.4742i −0.344524 1.17334i
\(767\) −3.18745 14.6525i −0.115092 0.529071i
\(768\) −0.349464 0.936950i −0.0126102 0.0338093i
\(769\) 32.2977 + 9.48346i 1.16468 + 0.341982i 0.806252 0.591573i \(-0.201493\pi\)
0.358433 + 0.933555i \(0.383311\pi\)
\(770\) 15.1218 21.9460i 0.544950 0.790879i
\(771\) −13.8390 15.9711i −0.498400 0.575184i
\(772\) −2.25529 4.13025i −0.0811695 0.148651i
\(773\) −21.8282 + 8.14149i −0.785105 + 0.292829i −0.709866