Properties

Label 690.2.n.a.89.9
Level $690$
Weight $2$
Character 690.89
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.n (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 89.9
Character \(\chi\) \(=\) 690.89
Dual form 690.2.n.a.659.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142315 - 0.989821i) q^{2} +(-0.763868 - 1.55451i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-1.25961 - 1.84754i) q^{5} +(-1.42998 + 0.977323i) q^{6} +(3.27194 - 2.10275i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-1.83301 + 2.37488i) q^{9} +O(q^{10})\) \(q+(-0.142315 - 0.989821i) q^{2} +(-0.763868 - 1.55451i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-1.25961 - 1.84754i) q^{5} +(-1.42998 + 0.977323i) q^{6} +(3.27194 - 2.10275i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-1.83301 + 2.37488i) q^{9} +(-1.64947 + 1.50972i) q^{10} +(0.440681 - 3.06500i) q^{11} +(1.17088 + 1.27634i) q^{12} +(3.74156 - 5.82197i) q^{13} +(-2.54699 - 2.93939i) q^{14} +(-1.90984 + 3.36935i) q^{15} +(0.841254 - 0.540641i) q^{16} +(-1.14788 + 3.90933i) q^{17} +(2.61157 + 1.47637i) q^{18} +(-1.77219 - 6.03553i) q^{19} +(1.72910 + 1.41783i) q^{20} +(-5.76808 - 3.48005i) q^{21} -3.09652 q^{22} +(-4.26358 - 2.19588i) q^{23} +(1.09671 - 1.34061i) q^{24} +(-1.82678 + 4.65434i) q^{25} +(-6.29519 - 2.87492i) q^{26} +(5.09196 + 1.03534i) q^{27} +(-2.54699 + 2.93939i) q^{28} +(-1.15504 + 3.93371i) q^{29} +(3.60685 + 1.41089i) q^{30} +(4.59962 + 10.0718i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(-5.10120 + 1.65621i) q^{33} +(4.03290 + 0.579844i) q^{34} +(-8.00627 - 3.39639i) q^{35} +(1.08968 - 2.79510i) q^{36} +(2.13622 + 2.46533i) q^{37} +(-5.72189 + 2.61310i) q^{38} +(-11.9084 - 1.36907i) q^{39} +(1.15732 - 1.91327i) q^{40} +(4.29664 + 3.72306i) q^{41} +(-2.62374 + 6.20463i) q^{42} +(-0.812374 + 1.77885i) q^{43} +(0.440681 + 3.06500i) q^{44} +(6.69656 + 0.395135i) q^{45} +(-1.56676 + 4.53269i) q^{46} +0.0592923 q^{47} +(-1.48304 - 0.894760i) q^{48} +(3.37615 - 7.39273i) q^{49} +(4.86694 + 1.14580i) q^{50} +(6.95394 - 1.20182i) q^{51} +(-1.94976 + 6.64026i) q^{52} +(-1.92485 - 2.99513i) q^{53} +(0.300142 - 5.18748i) q^{54} +(-6.21778 + 3.04653i) q^{55} +(3.27194 + 2.10275i) q^{56} +(-8.02858 + 7.36524i) q^{57} +(4.05805 + 0.583459i) q^{58} +(4.81672 - 7.49496i) q^{59} +(0.883225 - 3.77093i) q^{60} +(-8.63162 + 3.94193i) q^{61} +(9.31465 - 5.98616i) q^{62} +(-1.00373 + 11.6248i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(-15.4692 + 0.420745i) q^{65} +(2.36533 + 4.81357i) q^{66} +(0.125525 + 0.873046i) q^{67} -4.07438i q^{68} +(-0.156714 + 8.30515i) q^{69} +(-2.22241 + 8.40813i) q^{70} +(3.09468 - 0.444947i) q^{71} +(-2.92173 - 0.680805i) q^{72} +(-2.90368 - 9.88903i) q^{73} +(2.13622 - 2.46533i) q^{74} +(8.63064 - 0.715555i) q^{75} +(3.40081 + 5.29176i) q^{76} +(-5.00305 - 10.9551i) q^{77} +(0.339601 + 11.9820i) q^{78} +(1.08271 - 1.68473i) q^{79} +(-2.05850 - 0.873251i) q^{80} +(-2.28013 - 8.70638i) q^{81} +(3.07369 - 4.78276i) q^{82} +(-2.56997 + 2.22689i) q^{83} +(6.51488 + 1.71403i) q^{84} +(8.66852 - 2.80347i) q^{85} +(1.87636 + 0.550948i) q^{86} +(6.99729 - 1.20931i) q^{87} +(2.97109 - 0.872390i) q^{88} +(-1.08776 + 2.38187i) q^{89} +(-0.561906 - 6.68463i) q^{90} -26.9167i q^{91} +(4.70953 + 0.905744i) q^{92} +(12.1432 - 14.8436i) q^{93} +(-0.00843817 - 0.0586888i) q^{94} +(-8.91859 + 10.8766i) q^{95} +(-0.674594 + 1.59528i) q^{96} +(4.80678 - 5.54732i) q^{97} +(-7.79796 - 2.28969i) q^{98} +(6.47124 + 6.66475i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} + O(q^{10}) \) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} - 9q^{12} + 11q^{15} - 24q^{16} - 6q^{18} - 4q^{23} + 2q^{24} - 12q^{25} + 2q^{27} + 22q^{30} + 28q^{31} - 24q^{32} - 36q^{35} - 6q^{36} - 4q^{46} + 104q^{47} - 9q^{48} + 70q^{49} + 54q^{50} - 9q^{54} - 26q^{55} - 44q^{57} - 11q^{60} + 44q^{61} + 28q^{62} - 121q^{63} - 24q^{64} + 44q^{65} + 44q^{66} - 102q^{69} - 36q^{70} + 16q^{72} - 82q^{75} + 8q^{77} - 44q^{79} + 74q^{81} - 11q^{84} + 22q^{85} - 93q^{87} - 4q^{92} + 172q^{93} + 16q^{94} + 26q^{95} + 2q^{96} + 4q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.142315 0.989821i −0.100632 0.699909i
\(3\) −0.763868 1.55451i −0.441019 0.897498i
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) −1.25961 1.84754i −0.563314 0.826243i
\(6\) −1.42998 + 0.977323i −0.583787 + 0.398990i
\(7\) 3.27194 2.10275i 1.23668 0.794765i 0.251761 0.967790i \(-0.418990\pi\)
0.984917 + 0.173025i \(0.0553541\pi\)
\(8\) 0.415415 + 0.909632i 0.146871 + 0.321603i
\(9\) −1.83301 + 2.37488i −0.611004 + 0.791627i
\(10\) −1.64947 + 1.50972i −0.521608 + 0.477415i
\(11\) 0.440681 3.06500i 0.132870 0.924133i −0.808917 0.587923i \(-0.799946\pi\)
0.941787 0.336210i \(-0.109145\pi\)
\(12\) 1.17088 + 1.27634i 0.338005 + 0.368447i
\(13\) 3.74156 5.82197i 1.03772 1.61472i 0.282485 0.959272i \(-0.408841\pi\)
0.755236 0.655453i \(-0.227522\pi\)
\(14\) −2.54699 2.93939i −0.680713 0.785584i
\(15\) −1.90984 + 3.36935i −0.493119 + 0.869962i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) −1.14788 + 3.90933i −0.278403 + 0.948153i 0.694992 + 0.719018i \(0.255408\pi\)
−0.973395 + 0.229135i \(0.926410\pi\)
\(18\) 2.61157 + 1.47637i 0.615554 + 0.347985i
\(19\) −1.77219 6.03553i −0.406569 1.38465i −0.867600 0.497262i \(-0.834339\pi\)
0.461032 0.887384i \(-0.347479\pi\)
\(20\) 1.72910 + 1.41783i 0.386638 + 0.317035i
\(21\) −5.76808 3.48005i −1.25870 0.759409i
\(22\) −3.09652 −0.660180
\(23\) −4.26358 2.19588i −0.889018 0.457873i
\(24\) 1.09671 1.34061i 0.223865 0.273650i
\(25\) −1.82678 + 4.65434i −0.365355 + 0.930868i
\(26\) −6.29519 2.87492i −1.23459 0.563818i
\(27\) 5.09196 + 1.03534i 0.979948 + 0.199252i
\(28\) −2.54699 + 2.93939i −0.481336 + 0.555492i
\(29\) −1.15504 + 3.93371i −0.214486 + 0.730471i 0.780017 + 0.625758i \(0.215210\pi\)
−0.994503 + 0.104713i \(0.966608\pi\)
\(30\) 3.60685 + 1.41089i 0.658518 + 0.257593i
\(31\) 4.59962 + 10.0718i 0.826116 + 1.80894i 0.509824 + 0.860278i \(0.329710\pi\)
0.316291 + 0.948662i \(0.397562\pi\)
\(32\) −0.654861 0.755750i −0.115764 0.133599i
\(33\) −5.10120 + 1.65621i −0.888005 + 0.288310i
\(34\) 4.03290 + 0.579844i 0.691637 + 0.0994424i
\(35\) −8.00627 3.39639i −1.35331 0.574095i
\(36\) 1.08968 2.79510i 0.181613 0.465850i
\(37\) 2.13622 + 2.46533i 0.351193 + 0.405298i 0.903670 0.428230i \(-0.140863\pi\)
−0.552477 + 0.833528i \(0.686317\pi\)
\(38\) −5.72189 + 2.61310i −0.928213 + 0.423901i
\(39\) −11.9084 1.36907i −1.90687 0.219227i
\(40\) 1.15732 1.91327i 0.182988 0.302515i
\(41\) 4.29664 + 3.72306i 0.671023 + 0.581445i 0.922302 0.386470i \(-0.126306\pi\)
−0.251279 + 0.967915i \(0.580851\pi\)
\(42\) −2.62374 + 6.20463i −0.404853 + 0.957396i
\(43\) −0.812374 + 1.77885i −0.123886 + 0.271272i −0.961406 0.275135i \(-0.911278\pi\)
0.837520 + 0.546407i \(0.184005\pi\)
\(44\) 0.440681 + 3.06500i 0.0664351 + 0.462066i
\(45\) 6.69656 + 0.395135i 0.998264 + 0.0589033i
\(46\) −1.56676 + 4.53269i −0.231006 + 0.668308i
\(47\) 0.0592923 0.00864867 0.00432434 0.999991i \(-0.498624\pi\)
0.00432434 + 0.999991i \(0.498624\pi\)
\(48\) −1.48304 0.894760i −0.214058 0.129148i
\(49\) 3.37615 7.39273i 0.482307 1.05610i
\(50\) 4.86694 + 1.14580i 0.688290 + 0.162041i
\(51\) 6.95394 1.20182i 0.973746 0.168288i
\(52\) −1.94976 + 6.64026i −0.270383 + 0.920838i
\(53\) −1.92485 2.99513i −0.264399 0.411413i 0.683516 0.729935i \(-0.260450\pi\)
−0.947915 + 0.318522i \(0.896813\pi\)
\(54\) 0.300142 5.18748i 0.0408442 0.705926i
\(55\) −6.21778 + 3.04653i −0.838406 + 0.410793i
\(56\) 3.27194 + 2.10275i 0.437232 + 0.280992i
\(57\) −8.02858 + 7.36524i −1.06341 + 0.975550i
\(58\) 4.05805 + 0.583459i 0.532848 + 0.0766119i
\(59\) 4.81672 7.49496i 0.627083 0.975760i −0.371791 0.928317i \(-0.621256\pi\)
0.998874 0.0474439i \(-0.0151075\pi\)
\(60\) 0.883225 3.77093i 0.114024 0.486825i
\(61\) −8.63162 + 3.94193i −1.10517 + 0.504713i −0.882562 0.470196i \(-0.844183\pi\)
−0.222604 + 0.974909i \(0.571456\pi\)
\(62\) 9.31465 5.98616i 1.18296 0.760243i
\(63\) −1.00373 + 11.6248i −0.126458 + 1.46459i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) −15.4692 + 0.420745i −1.91872 + 0.0521870i
\(66\) 2.36533 + 4.81357i 0.291152 + 0.592510i
\(67\) 0.125525 + 0.873046i 0.0153353 + 0.106660i 0.996051 0.0887783i \(-0.0282963\pi\)
−0.980716 + 0.195438i \(0.937387\pi\)
\(68\) 4.07438i 0.494091i
\(69\) −0.156714 + 8.30515i −0.0188661 + 0.999822i
\(70\) −2.22241 + 8.40813i −0.265629 + 1.00496i
\(71\) 3.09468 0.444947i 0.367271 0.0528055i 0.0437911 0.999041i \(-0.486056\pi\)
0.323480 + 0.946235i \(0.395147\pi\)
\(72\) −2.92173 0.680805i −0.344329 0.0802336i
\(73\) −2.90368 9.88903i −0.339850 1.15742i −0.935248 0.353993i \(-0.884824\pi\)
0.595398 0.803431i \(-0.296994\pi\)
\(74\) 2.13622 2.46533i 0.248331 0.286589i
\(75\) 8.63064 0.715555i 0.996581 0.0826251i
\(76\) 3.40081 + 5.29176i 0.390100 + 0.607007i
\(77\) −5.00305 10.9551i −0.570150 1.24846i
\(78\) 0.339601 + 11.9820i 0.0384523 + 1.35670i
\(79\) 1.08271 1.68473i 0.121814 0.189547i −0.774991 0.631972i \(-0.782246\pi\)
0.896805 + 0.442426i \(0.145882\pi\)
\(80\) −2.05850 0.873251i −0.230148 0.0976324i
\(81\) −2.28013 8.70638i −0.253348 0.967375i
\(82\) 3.07369 4.78276i 0.339432 0.528167i
\(83\) −2.56997 + 2.22689i −0.282091 + 0.244433i −0.784400 0.620255i \(-0.787029\pi\)
0.502310 + 0.864688i \(0.332484\pi\)
\(84\) 6.51488 + 1.71403i 0.710831 + 0.187016i
\(85\) 8.66852 2.80347i 0.940233 0.304079i
\(86\) 1.87636 + 0.550948i 0.202333 + 0.0594103i
\(87\) 6.99729 1.20931i 0.750188 0.129651i
\(88\) 2.97109 0.872390i 0.316719 0.0929971i
\(89\) −1.08776 + 2.38187i −0.115302 + 0.252477i −0.958481 0.285157i \(-0.907954\pi\)
0.843178 + 0.537634i \(0.180682\pi\)
\(90\) −0.561906 6.68463i −0.0592301 0.704622i
\(91\) 26.9167i 2.82164i
\(92\) 4.70953 + 0.905744i 0.491002 + 0.0944304i
\(93\) 12.1432 14.8436i 1.25919 1.53921i
\(94\) −0.00843817 0.0586888i −0.000870331 0.00605329i
\(95\) −8.91859 + 10.8766i −0.915028 + 1.11591i
\(96\) −0.674594 + 1.59528i −0.0688505 + 0.162818i
\(97\) 4.80678 5.54732i 0.488054 0.563245i −0.457290 0.889317i \(-0.651180\pi\)
0.945345 + 0.326073i \(0.105725\pi\)
\(98\) −7.79796 2.28969i −0.787713 0.231293i
\(99\) 6.47124 + 6.66475i 0.650385 + 0.669832i
\(100\) 0.441500 4.98047i 0.0441500 0.498047i
\(101\) 1.14648 0.993434i 0.114079 0.0988504i −0.595953 0.803019i \(-0.703226\pi\)
0.710033 + 0.704169i \(0.248680\pi\)
\(102\) −2.17923 6.71212i −0.215776 0.664599i
\(103\) −0.147933 + 1.02890i −0.0145763 + 0.101380i −0.995811 0.0914380i \(-0.970854\pi\)
0.981234 + 0.192818i \(0.0617628\pi\)
\(104\) 6.85015 + 0.984903i 0.671713 + 0.0965777i
\(105\) 0.836002 + 15.0402i 0.0815854 + 1.46778i
\(106\) −2.69071 + 2.33151i −0.261345 + 0.226456i
\(107\) 5.37905 2.45653i 0.520013 0.237482i −0.138077 0.990422i \(-0.544092\pi\)
0.658089 + 0.752940i \(0.271365\pi\)
\(108\) −5.17739 + 0.441168i −0.498195 + 0.0424514i
\(109\) −2.07224 + 7.05740i −0.198484 + 0.675976i 0.798750 + 0.601662i \(0.205495\pi\)
−0.997235 + 0.0743135i \(0.976323\pi\)
\(110\) 3.90040 + 5.72093i 0.371888 + 0.545469i
\(111\) 2.20060 5.20397i 0.208871 0.493939i
\(112\) 1.61570 3.53789i 0.152669 0.334299i
\(113\) −9.64095 + 1.38616i −0.906944 + 0.130399i −0.579973 0.814636i \(-0.696937\pi\)
−0.326971 + 0.945034i \(0.606028\pi\)
\(114\) 8.43286 + 6.89868i 0.789809 + 0.646120i
\(115\) 1.31347 + 10.6431i 0.122481 + 0.992471i
\(116\) 4.09978i 0.380655i
\(117\) 6.96819 + 19.5575i 0.644209 + 1.80809i
\(118\) −8.10416 3.70105i −0.746048 0.340709i
\(119\) 4.46454 + 15.2048i 0.409264 + 1.39382i
\(120\) −3.85824 0.337576i −0.352208 0.0308163i
\(121\) 1.35439 + 0.397685i 0.123126 + 0.0361532i
\(122\) 5.13022 + 7.98277i 0.464468 + 0.722726i
\(123\) 2.50548 9.52311i 0.225911 0.858670i
\(124\) −7.25084 8.36792i −0.651145 0.751461i
\(125\) 10.9001 2.48761i 0.974933 0.222498i
\(126\) 11.6494 0.660878i 1.03781 0.0588757i
\(127\) −0.0578494 0.00831748i −0.00513330 0.000738057i 0.139748 0.990187i \(-0.455371\pi\)
−0.144881 + 0.989449i \(0.546280\pi\)
\(128\) 0.841254 + 0.540641i 0.0743570 + 0.0477863i
\(129\) 3.38579 0.0959622i 0.298102 0.00844900i
\(130\) 2.61796 + 15.2519i 0.229610 + 1.33768i
\(131\) −1.69413 2.63612i −0.148017 0.230319i 0.759326 0.650711i \(-0.225529\pi\)
−0.907343 + 0.420392i \(0.861893\pi\)
\(132\) 4.42796 3.02630i 0.385404 0.263405i
\(133\) −18.4897 16.0214i −1.60326 1.38923i
\(134\) 0.846296 0.248495i 0.0731088 0.0214667i
\(135\) −4.50104 10.7117i −0.387388 0.921917i
\(136\) −4.03290 + 0.579844i −0.345819 + 0.0497212i
\(137\) 5.59784i 0.478256i −0.970988 0.239128i \(-0.923138\pi\)
0.970988 0.239128i \(-0.0768615\pi\)
\(138\) 8.24291 1.02683i 0.701683 0.0874093i
\(139\) 15.3327 1.30051 0.650253 0.759718i \(-0.274663\pi\)
0.650253 + 0.759718i \(0.274663\pi\)
\(140\) 8.63883 + 1.00319i 0.730115 + 0.0847848i
\(141\) −0.0452915 0.0921706i −0.00381423 0.00776216i
\(142\) −0.880837 2.99985i −0.0739182 0.251742i
\(143\) −16.1955 14.0335i −1.35434 1.17354i
\(144\) −0.258070 + 2.98888i −0.0215058 + 0.249073i
\(145\) 8.72256 2.82095i 0.724369 0.234267i
\(146\) −9.37514 + 4.28148i −0.775892 + 0.354338i
\(147\) −14.0710 + 0.398809i −1.16056 + 0.0328932i
\(148\) −2.74426 1.76363i −0.225576 0.144969i
\(149\) 1.68483 11.7182i 0.138026 0.959995i −0.796636 0.604459i \(-0.793389\pi\)
0.934663 0.355536i \(-0.115702\pi\)
\(150\) −1.93654 8.44096i −0.158118 0.689202i
\(151\) 6.10869 + 3.92581i 0.497118 + 0.319478i 0.765062 0.643956i \(-0.222708\pi\)
−0.267945 + 0.963434i \(0.586344\pi\)
\(152\) 4.75392 4.11929i 0.385594 0.334119i
\(153\) −7.18012 9.89195i −0.580479 0.799717i
\(154\) −10.1316 + 6.51121i −0.816430 + 0.524688i
\(155\) 12.8142 21.1844i 1.02926 1.70157i
\(156\) 11.8117 2.04136i 0.945694 0.163440i
\(157\) −6.68970 + 1.96427i −0.533896 + 0.156766i −0.537557 0.843227i \(-0.680653\pi\)
0.00366100 + 0.999993i \(0.498835\pi\)
\(158\) −1.82167 0.831927i −0.144924 0.0661845i
\(159\) −3.18563 + 5.28009i −0.252637 + 0.418738i
\(160\) −0.571407 + 2.16183i −0.0451737 + 0.170907i
\(161\) −18.5676 + 1.78044i −1.46333 + 0.140318i
\(162\) −8.29326 + 3.49597i −0.651580 + 0.274669i
\(163\) −19.8675 + 2.85652i −1.55614 + 0.223740i −0.866042 0.499972i \(-0.833344\pi\)
−0.690103 + 0.723711i \(0.742435\pi\)
\(164\) −5.17151 2.36175i −0.403827 0.184422i
\(165\) 9.48542 + 7.33847i 0.738439 + 0.571299i
\(166\) 2.56997 + 2.22689i 0.199468 + 0.172840i
\(167\) 19.6414 + 5.76724i 1.51990 + 0.446282i 0.931941 0.362610i \(-0.118114\pi\)
0.587957 + 0.808892i \(0.299932\pi\)
\(168\) 0.769417 6.69250i 0.0593618 0.516337i
\(169\) −14.4957 31.7413i −1.11506 2.44163i
\(170\) −4.00859 8.18131i −0.307445 0.627478i
\(171\) 17.5821 + 6.85445i 1.34454 + 0.524173i
\(172\) 0.278307 1.93567i 0.0212207 0.147593i
\(173\) 0.565579 3.93369i 0.0430002 0.299073i −0.956961 0.290218i \(-0.906272\pi\)
0.999961 0.00885509i \(-0.00281870\pi\)
\(174\) −2.19282 6.75397i −0.166237 0.512017i
\(175\) 3.80980 + 19.0700i 0.287994 + 1.44156i
\(176\) −1.28634 2.81669i −0.0969616 0.212316i
\(177\) −15.3303 1.76249i −1.15230 0.132477i
\(178\) 2.51243 + 0.737715i 0.188314 + 0.0552941i
\(179\) 19.1818 + 16.6211i 1.43371 + 1.24232i 0.924229 + 0.381838i \(0.124709\pi\)
0.509483 + 0.860481i \(0.329837\pi\)
\(180\) −6.53662 + 1.50751i −0.487211 + 0.112363i
\(181\) −3.39420 1.55008i −0.252289 0.115217i 0.285257 0.958451i \(-0.407921\pi\)
−0.537546 + 0.843235i \(0.680648\pi\)
\(182\) −26.6427 + 3.83065i −1.97489 + 0.283947i
\(183\) 12.7212 + 10.4068i 0.940378 + 0.769296i
\(184\) 0.226290 4.79049i 0.0166823 0.353160i
\(185\) 1.86399 7.05210i 0.137043 0.518481i
\(186\) −16.4207 9.90709i −1.20402 0.726423i
\(187\) 11.4763 + 5.24103i 0.839228 + 0.383262i
\(188\) −0.0568905 + 0.0167046i −0.00414917 + 0.00121831i
\(189\) 18.8377 7.31954i 1.37024 0.532418i
\(190\) 12.0351 + 7.27991i 0.873120 + 0.528140i
\(191\) 7.80845 5.01819i 0.565000 0.363103i −0.226746 0.973954i \(-0.572809\pi\)
0.791746 + 0.610851i \(0.209172\pi\)
\(192\) 1.67505 + 0.440696i 0.120886 + 0.0318045i
\(193\) 11.3768 9.85809i 0.818923 0.709601i −0.140956 0.990016i \(-0.545017\pi\)
0.959879 + 0.280415i \(0.0904720\pi\)
\(194\) −6.17493 3.96838i −0.443334 0.284913i
\(195\) 12.4705 + 23.7256i 0.893029 + 1.69903i
\(196\) −1.15662 + 8.04444i −0.0826155 + 0.574603i
\(197\) −17.7486 11.4063i −1.26453 0.812666i −0.275635 0.961262i \(-0.588888\pi\)
−0.988898 + 0.148596i \(0.952525\pi\)
\(198\) 5.67596 7.35387i 0.403373 0.522617i
\(199\) 16.2954 7.44184i 1.15515 0.527538i 0.256645 0.966506i \(-0.417383\pi\)
0.898503 + 0.438968i \(0.144656\pi\)
\(200\) −4.99261 + 0.271788i −0.353031 + 0.0192183i
\(201\) 1.26128 0.862022i 0.0889635 0.0608023i
\(202\) −1.14648 0.993434i −0.0806664 0.0698978i
\(203\) 4.49238 + 15.2996i 0.315303 + 1.07382i
\(204\) −6.33366 + 3.11228i −0.443445 + 0.217903i
\(205\) 1.46641 12.6278i 0.102418 0.881964i
\(206\) 1.03948 0.0724238
\(207\) 13.0302 6.10042i 0.905658 0.424008i
\(208\) 6.92059i 0.479857i
\(209\) −19.2799 + 2.77203i −1.33362 + 0.191745i
\(210\) 14.7682 2.96794i 1.01910 0.204807i
\(211\) −9.90696 + 2.90895i −0.682023 + 0.200260i −0.604350 0.796719i \(-0.706567\pi\)
−0.0776730 + 0.996979i \(0.524749\pi\)
\(212\) 2.69071 + 2.33151i 0.184799 + 0.160129i
\(213\) −3.05560 4.47083i −0.209366 0.306336i
\(214\) −3.19705 4.97470i −0.218546 0.340064i
\(215\) 4.30976 0.739764i 0.293923 0.0504515i
\(216\) 1.17350 + 5.06191i 0.0798463 + 0.344419i
\(217\) 36.2281 + 23.2824i 2.45932 + 1.58051i
\(218\) 7.28047 + 1.04677i 0.493096 + 0.0708965i
\(219\) −13.1546 + 12.0677i −0.888905 + 0.815461i
\(220\) 5.10761 4.67487i 0.344355 0.315180i
\(221\) 18.4652 + 21.3099i 1.24210 + 1.43346i
\(222\) −5.46418 1.43760i −0.366732 0.0964851i
\(223\) 8.57691 + 13.3459i 0.574352 + 0.893710i 0.999937 0.0112090i \(-0.00356800\pi\)
−0.425585 + 0.904918i \(0.639932\pi\)
\(224\) −3.73182 1.09576i −0.249343 0.0732136i
\(225\) −7.70501 12.8698i −0.513667 0.857990i
\(226\) 2.74410 + 9.34554i 0.182535 + 0.621656i
\(227\) 20.9024 + 9.54580i 1.38734 + 0.633577i 0.962398 0.271644i \(-0.0875673\pi\)
0.424942 + 0.905221i \(0.360295\pi\)
\(228\) 5.62834 9.32881i 0.372746 0.617815i
\(229\) 4.71742i 0.311736i 0.987778 + 0.155868i \(0.0498174\pi\)
−0.987778 + 0.155868i \(0.950183\pi\)
\(230\) 10.3478 2.81476i 0.682314 0.185600i
\(231\) −13.2082 + 16.1456i −0.869038 + 1.06230i
\(232\) −4.05805 + 0.583459i −0.266424 + 0.0383060i
\(233\) 2.80916 6.15121i 0.184034 0.402979i −0.795018 0.606585i \(-0.792539\pi\)
0.979053 + 0.203606i \(0.0652661\pi\)
\(234\) 18.3668 9.68058i 1.20067 0.632840i
\(235\) −0.0746850 0.109545i −0.00487191 0.00714590i
\(236\) −2.51003 + 8.54839i −0.163389 + 0.556453i
\(237\) −3.44597 0.396174i −0.223840 0.0257343i
\(238\) 14.4147 6.58297i 0.934366 0.426711i
\(239\) 12.6529 10.9638i 0.818451 0.709192i −0.141324 0.989963i \(-0.545136\pi\)
0.959775 + 0.280772i \(0.0905903\pi\)
\(240\) 0.214946 + 3.86701i 0.0138747 + 0.249615i
\(241\) 9.37191 + 1.34748i 0.603698 + 0.0867986i 0.437385 0.899274i \(-0.355905\pi\)
0.166313 + 0.986073i \(0.446814\pi\)
\(242\) 0.200887 1.39720i 0.0129135 0.0898155i
\(243\) −11.7924 + 10.1950i −0.756486 + 0.654010i
\(244\) 7.17141 6.21406i 0.459103 0.397815i
\(245\) −17.9110 + 3.07439i −1.14429 + 0.196415i
\(246\) −9.78274 1.12469i −0.623725 0.0717079i
\(247\) −41.7694 12.2646i −2.65773 0.780379i
\(248\) −7.25084 + 8.36792i −0.460429 + 0.531363i
\(249\) 5.42484 + 2.29400i 0.343786 + 0.145376i
\(250\) −4.01353 10.4351i −0.253838 0.659974i
\(251\) −1.56053 10.8537i −0.0984999 0.685082i −0.977911 0.209019i \(-0.932973\pi\)
0.879412 0.476062i \(-0.157936\pi\)
\(252\) −2.31203 11.4367i −0.145644 0.720447i
\(253\) −8.60926 + 12.1002i −0.541259 + 0.760732i
\(254\) 0.0584442i 0.00366712i
\(255\) −10.9796 11.3338i −0.687571 0.709752i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) −11.8237 + 3.47175i −0.737543 + 0.216562i −0.628865 0.777515i \(-0.716480\pi\)
−0.108678 + 0.994077i \(0.534662\pi\)
\(258\) −0.576834 3.33767i −0.0359121 0.207794i
\(259\) 12.1736 + 3.57449i 0.756429 + 0.222108i
\(260\) 14.7240 4.76188i 0.913147 0.295319i
\(261\) −7.22489 9.95362i −0.447209 0.616113i
\(262\) −2.36819 + 2.05205i −0.146307 + 0.126776i
\(263\) −0.588699 + 0.916033i −0.0363007 + 0.0564850i −0.858930 0.512094i \(-0.828870\pi\)
0.822629 + 0.568579i \(0.192506\pi\)
\(264\) −3.62566 3.95220i −0.223144 0.243241i
\(265\) −3.10905 + 7.32892i −0.190987 + 0.450212i
\(266\) −13.2270 + 20.5816i −0.810999 + 1.26194i
\(267\) 4.53354 0.128492i 0.277448 0.00786361i
\(268\) −0.366406 0.802317i −0.0223818 0.0490093i
\(269\) −7.95465 12.3777i −0.485004 0.754680i 0.509377 0.860543i \(-0.329876\pi\)
−0.994381 + 0.105863i \(0.966239\pi\)
\(270\) −9.96211 + 5.97966i −0.606275 + 0.363911i
\(271\) −0.842177 + 0.971924i −0.0511586 + 0.0590402i −0.780752 0.624841i \(-0.785164\pi\)
0.729594 + 0.683881i \(0.239709\pi\)
\(272\) 1.14788 + 3.90933i 0.0696007 + 0.237038i
\(273\) −41.8423 + 20.5608i −2.53241 + 1.24440i
\(274\) −5.54086 + 0.796656i −0.334736 + 0.0481277i
\(275\) 13.4605 + 7.65015i 0.811701 + 0.461321i
\(276\) −2.18946 8.01288i −0.131790 0.482319i
\(277\) 10.6459i 0.639649i 0.947477 + 0.319825i \(0.103624\pi\)
−0.947477 + 0.319825i \(0.896376\pi\)
\(278\) −2.18208 15.1767i −0.130872 0.910237i
\(279\) −32.3504 7.53810i −1.93677 0.451294i
\(280\) −0.236458 8.69367i −0.0141311 0.519546i
\(281\) 9.02975 10.4209i 0.538669 0.621658i −0.419536 0.907739i \(-0.637807\pi\)
0.958205 + 0.286081i \(0.0923526\pi\)
\(282\) −0.0847867 + 0.0579477i −0.00504898 + 0.00345074i
\(283\) 5.69092 3.65733i 0.338290 0.217406i −0.360455 0.932777i \(-0.617379\pi\)
0.698745 + 0.715371i \(0.253742\pi\)
\(284\) −2.84396 + 1.29880i −0.168758 + 0.0770693i
\(285\) 23.7204 + 5.55578i 1.40508 + 0.329096i
\(286\) −11.5858 + 18.0279i −0.685083 + 1.06601i
\(287\) 21.8870 + 3.14688i 1.29195 + 0.185755i
\(288\) 2.99518 0.169919i 0.176493 0.0100126i
\(289\) 0.336053 + 0.215968i 0.0197678 + 0.0127040i
\(290\) −4.03359 8.23232i −0.236860 0.483418i
\(291\) −12.2951 3.23477i −0.720752 0.189626i
\(292\) 5.57212 + 8.67040i 0.326084 + 0.507397i
\(293\) −8.15376 + 27.7692i −0.476348 + 1.62229i 0.274338 + 0.961633i \(0.411541\pi\)
−0.750686 + 0.660659i \(0.770277\pi\)
\(294\) 2.39726 + 13.8710i 0.139811 + 0.808975i
\(295\) −19.9144 + 0.541649i −1.15946 + 0.0315361i
\(296\) −1.35513 + 2.96731i −0.0787651 + 0.172472i
\(297\) 5.41725 15.1506i 0.314341 0.879128i
\(298\) −11.8387 −0.685799
\(299\) −28.7368 + 16.6064i −1.66189 + 0.960374i
\(300\) −8.07945 + 3.11810i −0.466467 + 0.180024i
\(301\) 1.08244 + 7.52852i 0.0623907 + 0.433937i
\(302\) 3.01650 6.60521i 0.173580 0.380087i
\(303\) −2.42007 1.02337i −0.139029 0.0587911i
\(304\) −4.75392 4.11929i −0.272656 0.236258i
\(305\) 18.1553 + 10.9819i 1.03957 + 0.628825i
\(306\) −8.76942 + 8.51481i −0.501315 + 0.486759i
\(307\) −10.8518 + 4.95585i −0.619345 + 0.282845i −0.700274 0.713875i \(-0.746939\pi\)
0.0809288 + 0.996720i \(0.474211\pi\)
\(308\) 7.88681 + 9.10187i 0.449393 + 0.518627i
\(309\) 1.71243 0.555978i 0.0974169 0.0316285i
\(310\) −22.7924 9.66893i −1.29452 0.549158i
\(311\) −23.2253 3.33929i −1.31698 0.189354i −0.552238 0.833686i \(-0.686226\pi\)
−0.764745 + 0.644333i \(0.777135\pi\)
\(312\) −3.70157 11.4010i −0.209560 0.645453i
\(313\) −3.86747 4.46330i −0.218602 0.252280i 0.635847 0.771815i \(-0.280651\pi\)
−0.854449 + 0.519535i \(0.826105\pi\)
\(314\) 2.89632 + 6.34207i 0.163449 + 0.357903i
\(315\) 22.7416 12.7883i 1.28135 0.720540i
\(316\) −0.564209 + 1.92152i −0.0317392 + 0.108094i
\(317\) 2.22705 2.57015i 0.125083 0.144354i −0.689753 0.724044i \(-0.742281\pi\)
0.814837 + 0.579690i \(0.196827\pi\)
\(318\) 5.67971 + 2.40177i 0.318502 + 0.134685i
\(319\) 11.5478 + 5.27371i 0.646553 + 0.295271i
\(320\) 2.22114 + 0.257931i 0.124166 + 0.0144188i
\(321\) −7.92759 6.48533i −0.442475 0.361976i
\(322\) 4.40476 + 18.1252i 0.245468 + 1.01008i
\(323\) 25.6292 1.42605
\(324\) 4.64064 + 7.71132i 0.257813 + 0.428407i
\(325\) 20.2625 + 28.0499i 1.12396 + 1.55593i
\(326\) 5.65489 + 19.2588i 0.313195 + 1.06664i
\(327\) 12.5537 2.16960i 0.694222 0.119979i
\(328\) −1.60173 + 5.45498i −0.0884406 + 0.301201i
\(329\) 0.194001 0.124677i 0.0106956 0.00687366i
\(330\) 5.91386 10.4332i 0.325547 0.574332i
\(331\) −7.67572 8.85825i −0.421896 0.486893i 0.504518 0.863401i \(-0.331670\pi\)
−0.926413 + 0.376508i \(0.877125\pi\)
\(332\) 1.83848 2.86073i 0.100900 0.157003i
\(333\) −9.77060 + 0.554294i −0.535426 + 0.0303751i
\(334\) 2.91327 20.2623i 0.159407 1.10870i
\(335\) 1.45487 1.33161i 0.0794881 0.0727535i
\(336\) −6.73388 + 0.190856i −0.367363 + 0.0104120i
\(337\) −13.1513 28.7974i −0.716398 1.56869i −0.818884 0.573959i \(-0.805407\pi\)
0.102486 0.994734i \(-0.467320\pi\)
\(338\) −29.3552 + 18.8654i −1.59671 + 1.02615i
\(339\) 9.51921 + 13.9281i 0.517012 + 0.756472i
\(340\) −7.52755 + 5.13211i −0.408239 + 0.278328i
\(341\) 32.8969 9.65940i 1.78147 0.523086i
\(342\) 4.28249 18.3787i 0.231570 0.993804i
\(343\) −0.623903 4.33934i −0.0336876 0.234302i
\(344\) −1.95557 −0.105437
\(345\) 15.5415 10.1717i 0.836724 0.547625i
\(346\) −3.97414 −0.213651
\(347\) 2.11364 + 14.7007i 0.113466 + 0.789173i 0.964504 + 0.264069i \(0.0850646\pi\)
−0.851038 + 0.525104i \(0.824026\pi\)
\(348\) −6.37315 + 3.13169i −0.341637 + 0.167876i
\(349\) −11.2067 + 3.29059i −0.599882 + 0.176141i −0.567554 0.823336i \(-0.692110\pi\)
−0.0323279 + 0.999477i \(0.510292\pi\)
\(350\) 18.3337 6.48497i 0.979977 0.346636i
\(351\) 25.0796 25.7715i 1.33865 1.37558i
\(352\) −2.60496 + 1.67410i −0.138845 + 0.0892301i
\(353\) 10.9497 + 23.9766i 0.582795 + 1.27614i 0.939699 + 0.342002i \(0.111105\pi\)
−0.356904 + 0.934141i \(0.616168\pi\)
\(354\) 0.437188 + 15.4251i 0.0232363 + 0.819836i
\(355\) −4.72013 5.15707i −0.250519 0.273709i
\(356\) 0.372650 2.59184i 0.0197504 0.137367i
\(357\) 20.2258 18.5547i 1.07046 0.982017i
\(358\) 13.7221 21.3520i 0.725234 1.12849i
\(359\) −14.1498 16.3297i −0.746797 0.861849i 0.247457 0.968899i \(-0.420405\pi\)
−0.994254 + 0.107050i \(0.965860\pi\)
\(360\) 2.42242 + 6.25555i 0.127673 + 0.329696i
\(361\) −17.3031 + 11.1201i −0.910692 + 0.585266i
\(362\) −1.05126 + 3.58025i −0.0552529 + 0.188174i
\(363\) −0.416369 2.40919i −0.0218537 0.126450i
\(364\) 7.58332 + 25.8264i 0.397474 + 1.35367i
\(365\) −14.6128 + 17.8210i −0.764871 + 0.932792i
\(366\) 8.49050 14.0728i 0.443806 0.735595i
\(367\) 0.535808 0.0279690 0.0139845 0.999902i \(-0.495548\pi\)
0.0139845 + 0.999902i \(0.495548\pi\)
\(368\) −4.77393 + 0.457771i −0.248859 + 0.0238630i
\(369\) −16.7176 + 3.37960i −0.870285 + 0.175935i
\(370\) −7.24559 0.841397i −0.376681 0.0437421i
\(371\) −12.5960 5.75241i −0.653953 0.298650i
\(372\) −7.46934 + 17.6635i −0.387267 + 0.915810i
\(373\) 5.09713 5.88240i 0.263919 0.304579i −0.608287 0.793717i \(-0.708143\pi\)
0.872206 + 0.489138i \(0.162689\pi\)
\(374\) 3.55445 12.1053i 0.183796 0.625952i
\(375\) −12.1932 15.0441i −0.629656 0.776874i
\(376\) 0.0246309 + 0.0539342i 0.00127024 + 0.00278144i
\(377\) 18.5803 + 21.4428i 0.956934 + 1.10436i
\(378\) −9.92592 17.6043i −0.510534 0.905465i
\(379\) −19.8803 2.85836i −1.02118 0.146824i −0.388672 0.921376i \(-0.627066\pi\)
−0.632510 + 0.774552i \(0.717975\pi\)
\(380\) 5.49304 12.9487i 0.281787 0.664253i
\(381\) 0.0312596 + 0.0962810i 0.00160148 + 0.00493262i
\(382\) −6.07837 7.01481i −0.310996 0.358909i
\(383\) 3.70570 1.69234i 0.189353 0.0864744i −0.318483 0.947929i \(-0.603173\pi\)
0.507835 + 0.861454i \(0.330446\pi\)
\(384\) 0.197826 1.72072i 0.0100953 0.0878099i
\(385\) −13.9382 + 23.0425i −0.710354 + 1.17435i
\(386\) −11.3768 9.85809i −0.579066 0.501764i
\(387\) −2.73547 5.18995i −0.139052 0.263820i
\(388\) −3.04921 + 6.67684i −0.154800 + 0.338965i
\(389\) −3.98456 27.7132i −0.202025 1.40512i −0.798263 0.602309i \(-0.794248\pi\)
0.596238 0.802808i \(-0.296661\pi\)
\(390\) 21.7094 15.7201i 1.09930 0.796016i
\(391\) 13.4785 14.1471i 0.681639 0.715451i
\(392\) 8.12717 0.410484
\(393\) −2.80379 + 4.64720i −0.141433 + 0.234420i
\(394\) −8.76433 + 19.1912i −0.441540 + 0.966839i
\(395\) −4.47638 + 0.121753i −0.225231 + 0.00612605i
\(396\) −8.08679 4.57162i −0.406377 0.229733i
\(397\) −5.84209 + 19.8963i −0.293206 + 0.998569i 0.672752 + 0.739868i \(0.265112\pi\)
−0.965958 + 0.258700i \(0.916706\pi\)
\(398\) −9.68517 15.0704i −0.485473 0.755411i
\(399\) −10.7818 + 40.9807i −0.539765 + 2.05160i
\(400\) 0.979544 + 4.90311i 0.0489772 + 0.245156i
\(401\) 1.55169 + 0.997211i 0.0774878 + 0.0497984i 0.578811 0.815462i \(-0.303517\pi\)
−0.501323 + 0.865260i \(0.667153\pi\)
\(402\) −1.03275 1.12576i −0.0515087 0.0561478i
\(403\) 75.8472 + 10.9052i 3.77822 + 0.543226i
\(404\) −0.820161 + 1.27620i −0.0408045 + 0.0634931i
\(405\) −13.2133 + 15.1792i −0.656573 + 0.754263i
\(406\) 14.5046 6.62401i 0.719849 0.328744i
\(407\) 8.49764 5.46110i 0.421212 0.270697i
\(408\) 3.98198 + 5.82627i 0.197137 + 0.288443i
\(409\) −16.9181 + 19.5245i −0.836546 + 0.965426i −0.999776 0.0211623i \(-0.993263\pi\)
0.163230 + 0.986588i \(0.447809\pi\)
\(410\) −12.7080 + 0.345643i −0.627601 + 0.0170701i
\(411\) −8.70191 + 4.27601i −0.429234 + 0.210920i
\(412\) −0.147933 1.02890i −0.00728814 0.0506901i
\(413\) 34.6514i 1.70509i
\(414\) −7.89271 12.0293i −0.387906 0.591210i
\(415\) 7.35141 + 1.94310i 0.360867 + 0.0953831i
\(416\) −6.85015 + 0.984903i −0.335856 + 0.0482888i
\(417\) −11.7122 23.8349i −0.573548 1.16720i
\(418\) 5.48763 + 18.6891i 0.268409 + 0.914115i
\(419\) −23.5242 + 27.1484i −1.14923 + 1.32629i −0.212126 + 0.977242i \(0.568039\pi\)
−0.937107 + 0.349043i \(0.886507\pi\)
\(420\) −5.03946 14.1955i −0.245901 0.692668i
\(421\) −3.47833 5.41238i −0.169523 0.263783i 0.746089 0.665847i \(-0.231930\pi\)
−0.915612 + 0.402063i \(0.868293\pi\)
\(422\) 4.28924 + 9.39213i 0.208797 + 0.457202i
\(423\) −0.108684 + 0.140812i −0.00528437 + 0.00684653i
\(424\) 1.92485 2.99513i 0.0934791 0.145456i
\(425\) −16.0984 12.4841i −0.780889 0.605569i
\(426\) −3.99047 + 3.66076i −0.193339 + 0.177365i
\(427\) −19.9533 + 31.0479i −0.965607 + 1.50251i
\(428\) −4.46908 + 3.87248i −0.216021 + 0.187183i
\(429\) −9.44400 + 35.8959i −0.455961 + 1.73307i
\(430\) −1.34558 4.16062i −0.0648895 0.200643i
\(431\) −22.0281 6.46803i −1.06106 0.311554i −0.295780 0.955256i \(-0.595579\pi\)
−0.765276 + 0.643702i \(0.777398\pi\)
\(432\) 4.84338 1.88194i 0.233027 0.0905447i
\(433\) −8.60130 + 2.52557i −0.413352 + 0.121371i −0.481795 0.876284i \(-0.660015\pi\)
0.0684429 + 0.997655i \(0.478197\pi\)
\(434\) 17.8896 39.1727i 0.858728 1.88035i
\(435\) −11.0481 11.4045i −0.529715 0.546804i
\(436\) 7.35534i 0.352257i
\(437\) −5.69743 + 29.6245i −0.272545 + 1.41713i
\(438\) 13.8170 + 11.3033i 0.660201 + 0.540091i
\(439\) −4.85549 33.7707i −0.231740 1.61179i −0.690573 0.723263i \(-0.742642\pi\)
0.458833 0.888522i \(-0.348268\pi\)
\(440\) −5.35418 4.39032i −0.255250 0.209300i
\(441\) 11.3683 + 21.5689i 0.541350 + 1.02709i
\(442\) 18.4652 21.3099i 0.878298 1.01361i
\(443\) 16.3352 + 4.79646i 0.776111 + 0.227887i 0.645718 0.763576i \(-0.276558\pi\)
0.130392 + 0.991462i \(0.458376\pi\)
\(444\) −0.645329 + 5.61315i −0.0306259 + 0.266389i
\(445\) 5.77073 0.990538i 0.273559 0.0469560i
\(446\) 11.9895 10.3889i 0.567718 0.491930i
\(447\) −19.5031 + 6.33210i −0.922466 + 0.299498i
\(448\) −0.553514 + 3.84978i −0.0261511 + 0.181885i
\(449\) 22.6021 + 3.24969i 1.06666 + 0.153363i 0.653220 0.757169i \(-0.273418\pi\)
0.413440 + 0.910531i \(0.364327\pi\)
\(450\) −11.6423 + 9.45815i −0.548824 + 0.445862i
\(451\) 13.3046 11.5285i 0.626491 0.542858i
\(452\) 8.85989 4.04618i 0.416734 0.190316i
\(453\) 1.43649 12.4948i 0.0674924 0.587058i
\(454\) 6.47392 22.0481i 0.303836 1.03477i
\(455\) −49.7296 + 33.9045i −2.33136 + 1.58947i
\(456\) −10.0349 4.24342i −0.469925 0.198717i
\(457\) −2.79666 + 6.12384i −0.130822 + 0.286461i −0.963696 0.267002i \(-0.913967\pi\)
0.832874 + 0.553463i \(0.186694\pi\)
\(458\) 4.66940 0.671359i 0.218187 0.0313705i
\(459\) −9.89248 + 18.7177i −0.461741 + 0.873669i
\(460\) −4.25876 9.84190i −0.198566 0.458881i
\(461\) 8.00136i 0.372660i −0.982487 0.186330i \(-0.940341\pi\)
0.982487 0.186330i \(-0.0596594\pi\)
\(462\) 17.8610 + 10.7760i 0.830968 + 0.501347i
\(463\) −8.61939 3.93634i −0.400577 0.182937i 0.204931 0.978776i \(-0.434303\pi\)
−0.605508 + 0.795839i \(0.707030\pi\)
\(464\) 1.15504 + 3.93371i 0.0536214 + 0.182618i
\(465\) −42.7198 3.73775i −1.98108 0.173334i
\(466\) −6.48839 1.90516i −0.300569 0.0882550i
\(467\) −21.2878 33.1245i −0.985084 1.53282i −0.839418 0.543486i \(-0.817104\pi\)
−0.145666 0.989334i \(-0.546532\pi\)
\(468\) −12.1959 16.8021i −0.563756 0.776678i
\(469\) 2.24651 + 2.59261i 0.103734 + 0.119716i
\(470\) −0.0978009 + 0.0895147i −0.00451122 + 0.00412900i
\(471\) 8.16353 + 8.89877i 0.376156 + 0.410034i
\(472\) 8.81859 + 1.26792i 0.405909 + 0.0583608i
\(473\) 5.09418 + 3.27383i 0.234231 + 0.150531i
\(474\) 0.0982718 + 3.46728i 0.00451377 + 0.159257i
\(475\) 31.3288 + 2.77719i 1.43746 + 0.127426i
\(476\) −8.56739 13.3311i −0.392686 0.611031i
\(477\) 10.6414 + 0.918809i 0.487234 + 0.0420694i
\(478\) −12.6529 10.9638i −0.578732 0.501474i
\(479\) 11.9612 3.51212i 0.546521 0.160473i 0.00319509 0.999995i \(-0.498983\pi\)
0.543326 + 0.839522i \(0.317165\pi\)
\(480\) 3.79706 0.763091i 0.173311 0.0348302i
\(481\) 22.3459 3.21286i 1.01889 0.146494i
\(482\) 9.46828i 0.431268i
\(483\) 16.9509 + 27.5035i 0.771292 + 1.25145i
\(484\) −1.41157 −0.0641622
\(485\) −16.3035 1.89325i −0.740305 0.0859681i
\(486\) 11.7695 + 10.2215i 0.533875 + 0.463657i
\(487\) −6.93653 23.6237i −0.314324 1.07049i −0.953491 0.301422i \(-0.902539\pi\)
0.639167 0.769068i \(-0.279279\pi\)
\(488\) −7.17141 6.21406i −0.324635 0.281298i
\(489\) 19.6167 + 28.7023i 0.887096 + 1.29796i
\(490\) 5.59209 + 17.2911i 0.252625 + 0.781133i
\(491\) 36.6099 16.7192i 1.65218 0.754527i 0.652189 0.758056i \(-0.273851\pi\)
0.999994 + 0.00352921i \(0.00112338\pi\)
\(492\) 0.278983 + 9.84323i 0.0125775 + 0.443767i
\(493\) −14.0523 9.03088i −0.632885 0.406730i
\(494\) −6.19537 + 43.0897i −0.278743 + 1.93870i
\(495\) 4.16213 20.3508i 0.187074 0.914702i
\(496\) 9.31465 + 5.98616i 0.418240 + 0.268786i
\(497\) 9.18999 7.96317i 0.412228 0.357197i
\(498\) 1.49861 5.69610i 0.0671544 0.255248i
\(499\) 13.6364 8.76357i 0.610448 0.392311i −0.198577 0.980085i \(-0.563632\pi\)
0.809025 + 0.587774i \(0.199996\pi\)
\(500\) −9.75771 + 5.45775i −0.436378 + 0.244078i
\(501\) −6.03820 34.9382i −0.269767 1.56092i
\(502\) −10.5212 + 3.08929i −0.469583 + 0.137882i
\(503\) 1.43498 + 0.655332i 0.0639824 + 0.0292198i 0.447149 0.894459i \(-0.352439\pi\)
−0.383167 + 0.923679i \(0.625167\pi\)
\(504\) −10.9913 + 3.91611i −0.489591 + 0.174438i
\(505\) −3.27953 0.866833i −0.145937 0.0385736i
\(506\) 13.2023 + 6.79959i 0.586912 + 0.302279i
\(507\) −38.2693 + 46.7799i −1.69960 + 2.07757i
\(508\) 0.0578494 0.00831748i 0.00256665 0.000369029i
\(509\) 5.21326 + 2.38082i 0.231074 + 0.105528i 0.527587 0.849501i \(-0.323097\pi\)
−0.296514 + 0.955029i \(0.595824\pi\)
\(510\) −9.65591 + 12.4808i −0.427571 + 0.552661i
\(511\) −30.2948 26.2506i −1.34016 1.16126i
\(512\) −0.959493 0.281733i −0.0424040 0.0124509i
\(513\) −2.77509 32.5675i −0.122523 1.43789i
\(514\) 5.11911 + 11.2093i 0.225794 + 0.494420i
\(515\) 2.08726 1.02269i 0.0919757 0.0450653i
\(516\) −3.22161 + 1.04596i −0.141823 + 0.0460459i
\(517\) 0.0261290 0.181731i 0.00114915 0.00799252i
\(518\) 1.80562 12.5584i 0.0793345 0.551783i
\(519\) −6.54700 + 2.12562i −0.287381 + 0.0933044i
\(520\) −6.80886 13.8965i −0.298588 0.609401i
\(521\) 6.54182 + 14.3246i 0.286602 + 0.627572i 0.997098 0.0761300i \(-0.0242564\pi\)
−0.710495 + 0.703702i \(0.751529\pi\)
\(522\) −8.82410 + 8.56790i −0.386220 + 0.375007i
\(523\) −26.0194 7.63999i −1.13775 0.334074i −0.342001 0.939700i \(-0.611105\pi\)
−0.795749 + 0.605626i \(0.792923\pi\)
\(524\) 2.36819 + 2.05205i 0.103455 + 0.0896442i
\(525\) 26.7343 20.4893i 1.16678 0.894228i
\(526\) 0.990489 + 0.452341i 0.0431874 + 0.0197230i
\(527\) −44.6537 + 6.42023i −1.94515 + 0.279670i
\(528\) −3.39599 + 4.15121i −0.147791 + 0.180658i
\(529\) 13.3562 + 18.7246i 0.580705 + 0.814114i
\(530\) 7.69679 + 2.03439i 0.334327 + 0.0883682i
\(531\) 8.97054 + 25.1775i 0.389288 + 1.09261i
\(532\) 22.2545 + 10.1633i 0.964856 + 0.440635i
\(533\) 37.7517 11.0849i 1.63521 0.480140i
\(534\) −0.772375 4.46911i −0.0334239 0.193397i
\(535\) −11.3140 6.84373i −0.489148 0.295880i
\(536\) −0.742006 + 0.476858i −0.0320498 + 0.0205971i
\(537\) 11.1853 42.5146i 0.482683 1.83464i
\(538\) −11.1196 + 9.63521i −0.479401 + 0.415403i
\(539\) −21.1709 13.6057i −0.911896 0.586040i
\(540\) 7.33655 + 9.00972i 0.315715 + 0.387716i
\(541\) −2.08162 + 14.4780i −0.0894960 + 0.622459i 0.894870 + 0.446326i \(0.147268\pi\)
−0.984366 + 0.176133i \(0.943641\pi\)
\(542\) 1.08189 + 0.695286i 0.0464710 + 0.0298651i
\(543\) 0.183104 + 6.46038i 0.00785775 + 0.277242i
\(544\) 3.70618 1.69256i 0.158901 0.0725678i
\(545\) 15.6490 5.06102i 0.670329 0.216790i
\(546\) 26.3063 + 38.4903i 1.12581 + 1.64723i
\(547\) 14.5284 + 12.5889i 0.621189 + 0.538263i 0.907596 0.419845i \(-0.137916\pi\)
−0.286407 + 0.958108i \(0.592461\pi\)
\(548\) 1.57709 + 5.37109i 0.0673701 + 0.229442i
\(549\) 6.46025 27.7247i 0.275717 1.18326i
\(550\) 5.65665 14.4123i 0.241200 0.614541i
\(551\) 25.7890 1.09865
\(552\) −7.61973 + 3.30753i −0.324317 + 0.140778i
\(553\) 7.78900i 0.331222i
\(554\) 10.5375 1.51507i 0.447697 0.0643691i
\(555\) −12.3864 + 2.48928i −0.525774 + 0.105664i
\(556\) −14.7117 + 4.31973i −0.623913 + 0.183197i
\(557\) −1.57344 1.36339i −0.0666688 0.0577688i 0.620889 0.783898i \(-0.286772\pi\)
−0.687558 + 0.726130i \(0.741317\pi\)
\(558\) −2.85743 + 33.0939i −0.120965 + 1.40098i
\(559\) 7.31688 + 11.3853i 0.309471 + 0.481547i
\(560\) −8.57153 + 1.47129i −0.362213 + 0.0621734i
\(561\) −0.619100 21.8434i −0.0261384 0.922231i
\(562\) −11.5999 7.45479i −0.489311 0.314461i
\(563\) 36.3901 + 5.23210i 1.53366 + 0.220507i 0.856817 0.515621i \(-0.172439\pi\)
0.676842 + 0.736128i \(0.263348\pi\)
\(564\) 0.0694243 + 0.0756769i 0.00292329 + 0.00318657i
\(565\) 14.7048 + 16.0660i 0.618635 + 0.675901i
\(566\) −4.43001 5.11250i −0.186207 0.214894i
\(567\) −25.7678 23.6922i −1.08215 0.994980i
\(568\) 1.69031 + 2.63018i 0.0709240 + 0.110360i
\(569\) 36.7844 + 10.8009i 1.54208 + 0.452796i 0.938723 0.344672i \(-0.112010\pi\)
0.603360 + 0.797469i \(0.293828\pi\)
\(570\) 2.12346 24.2696i 0.0889421 1.01654i
\(571\) 0.861118 + 2.93270i 0.0360367 + 0.122730i 0.975547 0.219791i \(-0.0705375\pi\)
−0.939510 + 0.342521i \(0.888719\pi\)
\(572\) 19.4932 + 8.90224i 0.815051 + 0.372221i
\(573\) −13.7655 8.30510i −0.575060 0.346950i
\(574\) 22.1121i 0.922942i
\(575\) 18.0090 15.8328i 0.751027 0.660272i
\(576\) −0.594449 2.94052i −0.0247687 0.122521i
\(577\) 22.7444 3.27014i 0.946860 0.136138i 0.348449 0.937328i \(-0.386708\pi\)
0.598410 + 0.801190i \(0.295799\pi\)
\(578\) 0.165945 0.363368i 0.00690239 0.0151141i
\(579\) −24.0149 10.1552i −0.998026 0.422034i
\(580\) −7.57448 + 5.16411i −0.314513 + 0.214428i
\(581\) −3.72620 + 12.6903i −0.154589 + 0.526481i
\(582\) −1.45207 + 12.6303i −0.0601903 + 0.523543i
\(583\) −10.0283 + 4.57978i −0.415331 + 0.189675i
\(584\) 7.78915 6.74933i 0.322317 0.279289i
\(585\) 27.3560 37.5088i 1.13103 1.55080i
\(586\) 28.6469 + 4.11881i 1.18339 + 0.170146i
\(587\) −1.82472 + 12.6912i −0.0753141 + 0.523821i 0.916884 + 0.399153i \(0.130696\pi\)
−0.992198 + 0.124668i \(0.960213\pi\)
\(588\) 13.3887 4.34692i 0.552140 0.179264i
\(589\) 52.6370 45.6102i 2.16887 1.87934i
\(590\) 3.37025 + 19.6346i 0.138751 + 0.808343i
\(591\) −4.17368 + 36.3033i −0.171682 + 1.49332i
\(592\) 3.12997 + 0.919041i 0.128641 + 0.0377723i
\(593\) −17.3570 + 20.0311i −0.712767 + 0.822578i −0.990418 0.138105i \(-0.955899\pi\)
0.277650 + 0.960682i \(0.410444\pi\)
\(594\) −15.7674 3.20596i −0.646942 0.131542i
\(595\) 22.4679 27.4005i 0.921094 1.12331i
\(596\) 1.68483 + 11.7182i 0.0690132 + 0.479997i
\(597\) −24.0159 19.6467i −0.982907 0.804088i
\(598\) 20.5271 + 26.0809i 0.839414 + 1.06653i
\(599\) 46.4114i 1.89632i 0.317794 + 0.948160i \(0.397058\pi\)
−0.317794 + 0.948160i \(0.602942\pi\)
\(600\) 4.23619 + 7.55346i 0.172942 + 0.308369i
\(601\) −16.1427 + 35.3475i −0.658473 + 1.44186i 0.225465 + 0.974251i \(0.427610\pi\)
−0.883938 + 0.467604i \(0.845117\pi\)
\(602\) 7.29784 2.14284i 0.297438 0.0873356i
\(603\) −2.30347 1.30220i −0.0938046 0.0530296i
\(604\) −6.96727 2.04577i −0.283494 0.0832414i
\(605\) −0.971263 3.00321i −0.0394875 0.122098i
\(606\) −0.668543 + 2.54108i −0.0271577 + 0.103224i
\(607\) 21.3219 18.4755i 0.865430 0.749899i −0.104179 0.994559i \(-0.533222\pi\)
0.969609 + 0.244659i \(0.0786761\pi\)
\(608\) −3.40081 + 5.29176i −0.137921 + 0.214609i
\(609\) 20.3519 18.6703i 0.824699 0.756560i
\(610\) 8.28640 19.5334i 0.335506 0.790885i
\(611\) 0.221845 0.345198i 0.00897490 0.0139652i
\(612\) 9.67616 + 7.46838i 0.391136 + 0.301891i
\(613\) −5.44547 11.9239i −0.219941 0.481603i 0.767210 0.641396i \(-0.221644\pi\)
−0.987150 + 0.159793i \(0.948917\pi\)
\(614\) 6.44978 + 10.0360i 0.260292 + 0.405022i
\(615\) −20.7502 + 7.36642i −0.836729 + 0.297043i
\(616\) 7.88681 9.10187i 0.317769 0.366725i
\(617\) 8.99330 + 30.6284i 0.362057 + 1.23305i 0.916231 + 0.400651i \(0.131216\pi\)
−0.554174 + 0.832401i \(0.686966\pi\)
\(618\) −0.794023 1.61588i −0.0319403 0.0650002i
\(619\) −11.9617 + 1.71984i −0.480782 + 0.0691260i −0.378445 0.925624i \(-0.623541\pi\)
−0.102337 + 0.994750i \(0.532632\pi\)
\(620\) −6.32681 + 23.9365i −0.254091 + 0.961312i
\(621\) −19.4365 15.5956i −0.779959 0.625830i
\(622\) 23.4641i 0.940824i
\(623\) 1.44937 + 10.0806i 0.0580679 + 0.403871i
\(624\) −10.7581 + 5.28642i −0.430670 + 0.211626i
\(625\) −18.3258 17.0049i −0.733031 0.680195i
\(626\) −3.86747 + 4.46330i −0.154575 + 0.178389i
\(627\) 19.0364 + 27.8533i 0.760242 + 1.11235i
\(628\) 5.86532 3.76941i 0.234052 0.150416i
\(629\) −12.0899 + 5.52129i −0.482058 + 0.220148i
\(630\) −15.8946 20.6902i −0.633257 0.824316i
\(631\) −11.7163 + 18.2310i −0.466419 + 0.725763i −0.992173 0.124874i \(-0.960147\pi\)
0.525753 + 0.850637i \(0.323784\pi\)
\(632\) 1.98226 + 0.285005i 0.0788499 + 0.0113369i
\(633\) 12.0896 + 13.1784i 0.480518 + 0.523796i
\(634\) −2.86093 1.83861i −0.113622 0.0730205i
\(635\) 0.0575007 + 0.117356i 0.00228184 + 0.00465711i
\(636\) 1.56902 5.96370i 0.0622156 0.236476i
\(637\) −30.4082 47.3161i −1.20482 1.87473i
\(638\) 3.57661 12.1808i 0.141599 0.482242i
\(639\) −4.61588 + 8.16509i −0.182601 + 0.323006i
\(640\) −0.0607961 2.23524i −0.00240318 0.0883557i
\(641\) 13.5137 29.5909i 0.533760 1.16877i −0.430202 0.902733i \(-0.641558\pi\)
0.963962 0.266039i \(-0.0857150\pi\)
\(642\) −5.29111 + 8.76986i −0.208823 + 0.346119i
\(643\) 24.9681 0.984645 0.492322 0.870413i \(-0.336148\pi\)
0.492322 + 0.870413i \(0.336148\pi\)
\(644\) 17.3139 6.93941i 0.682261 0.273451i
\(645\) −4.44206 6.13450i −0.174906 0.241546i
\(646\) −3.64741 25.3683i −0.143506 0.998103i
\(647\) 5.53086 12.1109i 0.217441 0.476128i −0.769207 0.639000i \(-0.779348\pi\)
0.986647 + 0.162872i \(0.0520757\pi\)
\(648\) 6.97240 5.69084i 0.273902 0.223557i
\(649\) −20.8494 18.0661i −0.818411 0.709158i
\(650\) 24.8808 24.0481i 0.975904 0.943245i
\(651\) 8.51925 74.1016i 0.333896 2.90427i
\(652\) 18.2580 8.33814i 0.715037 0.326547i
\(653\) −7.50657 8.66305i −0.293755 0.339011i 0.589618 0.807682i \(-0.299278\pi\)
−0.883373 + 0.468671i \(0.844733\pi\)
\(654\) −3.93410 12.1172i −0.153835 0.473819i
\(655\) −2.73639 + 6.45046i −0.106920 + 0.252040i
\(656\) 5.62741 + 0.809099i 0.219713 + 0.0315900i
\(657\) 28.8078 + 11.2308i 1.12390 + 0.438156i
\(658\) −0.151017 0.174283i −0.00588726 0.00679426i
\(659\) 4.80090 + 10.5125i 0.187016 + 0.409509i 0.979796 0.200000i \(-0.0640941\pi\)
−0.792780 + 0.609509i \(0.791367\pi\)
\(660\) −11.1687 4.36886i −0.434740 0.170058i
\(661\) 9.21117 31.3704i 0.358273 1.22017i −0.561421 0.827530i \(-0.689745\pi\)
0.919694 0.392636i \(-0.128437\pi\)
\(662\) −7.67572 + 8.85825i −0.298325 + 0.344286i
\(663\) 19.0216 44.9823i 0.738738 1.74697i
\(664\) −3.09326 1.41264i −0.120042 0.0548212i
\(665\) −6.31038 + 54.3411i −0.244706 + 2.10726i
\(666\) 1.93915 + 9.59227i 0.0751407 + 0.371693i
\(667\) 13.5626 14.2353i 0.525144 0.551194i
\(668\) −20.4706 −0.792032
\(669\) 14.1948 23.5274i 0.548802 0.909623i
\(670\) −1.52510 1.25056i −0.0589199 0.0483132i
\(671\) 8.27823 + 28.1931i 0.319578 + 1.08838i
\(672\) 1.14724 + 6.63817i 0.0442559 + 0.256073i
\(673\) −9.85049 + 33.5477i −0.379709 + 1.29317i 0.519057 + 0.854739i \(0.326283\pi\)
−0.898766 + 0.438429i \(0.855535\pi\)
\(674\) −26.6326 + 17.1158i −1.02585 + 0.659274i
\(675\) −14.1207 + 21.8084i −0.543506 + 0.839405i
\(676\) 22.8511 + 26.3716i 0.878889 + 1.01429i
\(677\) −1.18472 + 1.84345i −0.0455323 + 0.0708497i −0.863273 0.504736i \(-0.831590\pi\)
0.817741 + 0.575586i \(0.195226\pi\)
\(678\) 12.4316 11.4045i 0.477434 0.437987i
\(679\) 4.06288 28.2579i 0.155919 1.08444i
\(680\) 6.15116 + 6.72056i 0.235886 + 0.257722i
\(681\) −1.12760 39.7847i −0.0432098 1.52455i
\(682\) −14.2428 31.1874i −0.545385 1.19423i
\(683\) −4.18302 + 2.68827i −0.160059 + 0.102864i −0.618218 0.786006i \(-0.712145\pi\)
0.458159 + 0.888870i \(0.348509\pi\)
\(684\) −18.8010 1.62334i −0.718876 0.0620701i
\(685\) −10.3422 + 7.05108i −0.395156 + 0.269408i
\(686\) −4.20638 + 1.23511i −0.160600 + 0.0471565i
\(687\) 7.33328 3.60348i 0.279782 0.137481i
\(688\) 0.278307 + 1.93567i 0.0106104 + 0.0737966i
\(689\) −24.6395 −0.938690
\(690\) −12.2799 13.9357i −0.467489 0.530522i
\(691\) 32.8336 1.24905 0.624525 0.781005i \(-0.285293\pi\)
0.624525 + 0.781005i \(0.285293\pi\)
\(692\) 0.565579 + 3.93369i 0.0215001 + 0.149536i
\(693\) 35.1878 + 8.19927i 1.33668 + 0.311464i
\(694\) 14.2502 4.18425i 0.540931 0.158832i
\(695\) −19.3132 28.3278i −0.732593 1.07453i
\(696\) 4.00680 + 5.86259i 0.151878 + 0.222221i
\(697\) −19.4867 + 12.5234i −0.738113 + 0.474356i
\(698\) 4.85198 + 10.6244i 0.183650 + 0.402138i
\(699\) −11.7080 + 0.331834i −0.442836 + 0.0125511i
\(700\) −9.02812 17.2242i −0.341231 0.651013i
\(701\) 0.620894 4.31841i 0.0234508 0.163104i −0.974731 0.223383i \(-0.928290\pi\)
0.998182 + 0.0602789i \(0.0191990\pi\)
\(702\) −29.0784 21.1567i −1.09749 0.798506i
\(703\) 11.0938 17.2623i 0.418410 0.651059i
\(704\) 2.02779 + 2.34019i 0.0764252 + 0.0881993i
\(705\) −0.113239 + 0.199776i −0.00426482 + 0.00752401i
\(706\) 22.1742 14.2505i 0.834537 0.536325i
\(707\) 1.66229 5.66123i 0.0625167 0.212912i
\(708\) 15.2059 2.62796i 0.571473 0.0987649i
\(709\) −8.15269 27.7655i −0.306181 1.04276i −0.958566 0.284869i \(-0.908050\pi\)
0.652386 0.757887i \(-0.273768\pi\)
\(710\) −4.43283 + 5.40602i −0.166361 + 0.202884i
\(711\) 2.01641 + 5.65943i 0.0756214 + 0.212245i
\(712\) −2.61849 −0.0981322
\(713\) 2.50556 53.0419i 0.0938339 1.98644i
\(714\) −21.2442 17.3793i −0.795045 0.650404i
\(715\) −5.52739 + 47.5985i −0.206713 + 1.78008i
\(716\) −23.0875 10.5437i −0.862819 0.394036i
\(717\) −26.7086 11.2942i −0.997451 0.421791i
\(718\) −14.1498 + 16.3297i −0.528065 + 0.609419i
\(719\) 4.04059 13.7610i 0.150689 0.513198i −0.849201 0.528070i \(-0.822916\pi\)
0.999889 + 0.0148719i \(0.00473406\pi\)
\(720\) 5.84713 3.28802i 0.217910 0.122537i
\(721\) 1.67948 + 3.67756i 0.0625473 + 0.136959i
\(722\) 13.4694 + 15.5445i 0.501278 + 0.578505i
\(723\) −5.06423 15.5980i −0.188341 0.580097i
\(724\) 3.69342 + 0.531034i 0.137265 + 0.0197357i
\(725\) −16.1988 12.5620i −0.601609 0.466539i
\(726\) −2.32542 + 0.754995i −0.0863043 + 0.0280205i
\(727\) −12.2576 14.1460i −0.454610 0.524648i 0.481457 0.876470i \(-0.340108\pi\)
−0.936067 + 0.351822i \(0.885562\pi\)
\(728\) 24.4843 11.1816i 0.907449 0.414418i
\(729\) 24.8561 + 10.5438i 0.920598 + 0.390513i
\(730\) 19.7192 + 11.9279i 0.729840 + 0.441472i
\(731\) −6.02161 5.21776i −0.222717 0.192986i
\(732\) −15.1378 6.40132i −0.559511 0.236600i
\(733\) −16.4178 + 35.9499i −0.606404 + 1.32784i 0.318603 + 0.947888i \(0.396786\pi\)
−0.925007 + 0.379951i \(0.875941\pi\)
\(734\) −0.0762535 0.530355i −0.00281457 0.0195757i
\(735\) 18.4608 + 25.4944i 0.680936 + 0.940374i
\(736\) 1.13251 + 4.66019i 0.0417450 + 0.171777i
\(737\) 2.73120 0.100605
\(738\) 5.72437 + 16.0665i 0.210717 + 0.591416i
\(739\) 2.72470 5.96626i 0.100230 0.219472i −0.852874 0.522117i \(-0.825142\pi\)
0.953103 + 0.302645i \(0.0978696\pi\)
\(740\) 0.198323 + 7.29159i 0.00729051 + 0.268044i
\(741\) 12.8408 + 74.2996i 0.471720 + 2.72947i
\(742\) −3.90126 + 13.2865i −0.143220 + 0.487761i
\(743\) 22.4148 + 34.8781i 0.822320 + 1.27955i 0.957413 + 0.288721i \(0.0932302\pi\)
−0.135094 + 0.990833i \(0.543133\pi\)
\(744\) 18.5467 + 4.87953i 0.679955 + 0.178892i
\(745\) −23.7721 + 11.6476i −0.870941 + 0.426735i
\(746\) −6.54792 4.20809i −0.239736 0.154069i
\(747\) −0.577820 10.1853i −0.0211413 0.372660i
\(748\) −12.4880 1.79550i −0.456605 0.0656499i
\(749\) 12.4345 19.3484i 0.454346 0.706976i
\(750\) −13.1557 + 14.2101i −0.480378 + 0.518880i
\(751\) −15.9480 + 7.28320i −0.581950 + 0.265768i −0.684563 0.728954i \(-0.740007\pi\)
0.102613 + 0.994721i \(0.467280\pi\)
\(752\) 0.0498799 0.0320558i 0.00181893 0.00116896i
\(753\) −15.6802 + 10.7167i −0.571419 + 0.390538i
\(754\) 18.5803 21.4428i 0.676654 0.780901i
\(755\) −0.441466 16.2310i −0.0160666 0.590707i
\(756\) −16.0125 + 12.3302i −0.582368 + 0.448446i
\(757\) −6.24813 43.4567i −0.227092 1.57946i −0.710264 0.703935i \(-0.751424\pi\)
0.483172 0.875526i \(-0.339485\pi\)
\(758\) 20.0847i 0.729510i
\(759\) 25.3862 + 4.14024i 0.921461 + 0.150281i
\(760\) −13.5986 3.59434i −0.493273 0.130380i
\(761\) 40.9916 5.89370i 1.48594 0.213646i 0.648938 0.760841i \(-0.275213\pi\)
0.837005 + 0.547194i \(0.184304\pi\)
\(762\) 0.0908522 0.0446437i 0.00329123 0.00161727i
\(763\) 8.05969 + 27.4488i 0.291780 + 0.993713i
\(764\) −6.07837 + 7.01481i −0.219908 + 0.253787i
\(765\) −9.23159 + 25.7255i −0.333769 + 0.930108i
\(766\) −2.20249 3.42714i −0.0795791 0.123828i
\(767\) −25.6134 56.0856i −0.924848 2.02513i
\(768\) −1.73136 + 0.0490711i −0.0624749 + 0.00177070i
\(769\) −20.1591 + 31.3681i −0.726955 + 1.13116i 0.259279 + 0.965803i \(0.416515\pi\)
−0.986233 + 0.165361i \(0.947121\pi\)
\(770\) 24.7916 + 10.5170i 0.893426 + 0.379006i
\(771\) 14.4286 + 15.7281i 0.519635 + 0.566435i
\(772\) −8.13866 + 12.6640i −0.292917 + 0.455787i
\(773\) 31.6841 27.4544i 1.13960 0.987468i 0.139602 0.990208i \(-0.455418\pi\)
0.999996 + 0.00274017i