Properties

Label 403.2.bl.b.16.9
Level 403
Weight 2
Character 403.16
Analytic conductor 3.218
Analytic rank 0
Dimension 280
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.bl (of order \(15\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(280\)
Relative dimension: \(35\) over \(\Q(\zeta_{15})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 16.9
Character \(\chi\) = 403.16
Dual form 403.2.bl.b.126.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.41616 - 0.630515i) q^{2} +(-0.113478 + 1.07967i) q^{3} +(0.269698 + 0.299530i) q^{4} -3.63191 q^{5} +(0.841454 - 1.45744i) q^{6} +(-0.969238 - 1.07645i) q^{7} +(0.764987 + 2.35439i) q^{8} +(1.78162 + 0.378696i) q^{9} +O(q^{10})\) \(q+(-1.41616 - 0.630515i) q^{2} +(-0.113478 + 1.07967i) q^{3} +(0.269698 + 0.299530i) q^{4} -3.63191 q^{5} +(0.841454 - 1.45744i) q^{6} +(-0.969238 - 1.07645i) q^{7} +(0.764987 + 2.35439i) q^{8} +(1.78162 + 0.378696i) q^{9} +(5.14337 + 2.28997i) q^{10} +(-4.10052 + 0.871592i) q^{11} +(-0.353999 + 0.257195i) q^{12} +(3.56235 + 0.556465i) q^{13} +(0.693879 + 2.13554i) q^{14} +(0.412143 - 3.92128i) q^{15} +(0.485395 - 4.61822i) q^{16} +(0.395127 + 0.0839868i) q^{17} +(-2.28429 - 1.65963i) q^{18} +(-0.434956 - 4.13833i) q^{19} +(-0.979518 - 1.08787i) q^{20} +(1.27220 - 0.924307i) q^{21} +(6.35654 + 1.35112i) q^{22} +(4.61258 - 5.12279i) q^{23} +(-2.62878 + 0.558764i) q^{24} +8.19079 q^{25} +(-4.69400 - 3.03416i) q^{26} +(-1.61747 + 4.97806i) q^{27} +(0.0610268 - 0.580631i) q^{28} +(3.31584 + 1.47631i) q^{29} +(-3.05609 + 5.29330i) q^{30} +(4.14682 - 3.71536i) q^{31} +(-1.12370 + 1.94631i) q^{32} +(-0.475715 - 4.52613i) q^{33} +(-0.506607 - 0.368072i) q^{34} +(3.52019 + 3.90956i) q^{35} +(0.367069 + 0.635783i) q^{36} +(4.01631 + 6.95646i) q^{37} +(-1.99331 + 6.13478i) q^{38} +(-1.00505 + 3.78303i) q^{39} +(-2.77836 - 8.55093i) q^{40} +(5.25959 + 2.34172i) q^{41} +(-2.38443 + 0.506826i) q^{42} +(-0.508398 - 4.83708i) q^{43} +(-1.36697 - 0.993160i) q^{44} +(-6.47070 - 1.37539i) q^{45} +(-9.76215 + 4.34639i) q^{46} +(4.70255 + 3.41660i) q^{47} +(4.93109 + 1.04814i) q^{48} +(0.512382 - 4.87499i) q^{49} +(-11.5995 - 5.16441i) q^{50} +(-0.135517 + 0.417077i) q^{51} +(0.794080 + 1.21711i) q^{52} +(-2.89921 - 8.92286i) q^{53} +(5.42934 - 6.02989i) q^{54} +(14.8927 - 3.16555i) q^{55} +(1.79292 - 3.10543i) q^{56} +4.51740 q^{57} +(-3.76493 - 4.18138i) q^{58} +(-1.02812 + 0.457747i) q^{59} +(1.28569 - 0.934111i) q^{60} +(-4.67059 + 8.08970i) q^{61} +(-8.21515 + 2.64690i) q^{62} +(-1.31917 - 2.28487i) q^{63} +(-4.69507 + 3.41117i) q^{64} +(-12.9381 - 2.02103i) q^{65} +(-2.18010 + 6.70967i) q^{66} +(-2.75711 - 4.77546i) q^{67} +(0.0814082 + 0.141003i) q^{68} +(5.00752 + 5.56141i) q^{69} +(-2.52011 - 7.75609i) q^{70} +(6.52847 + 1.38767i) q^{71} +(0.471322 + 4.48433i) q^{72} +(2.86102 - 8.80532i) q^{73} +(-1.30159 - 12.3838i) q^{74} +(-0.929476 + 8.84338i) q^{75} +(1.12225 - 1.24638i) q^{76} +(4.91260 + 3.56921i) q^{77} +(3.80857 - 4.72368i) q^{78} +(2.36443 + 7.27697i) q^{79} +(-1.76291 + 16.7730i) q^{80} +(-0.199266 - 0.0887188i) q^{81} +(-5.97193 - 6.63250i) q^{82} +(5.86557 - 4.26158i) q^{83} +(0.619967 + 0.131778i) q^{84} +(-1.43507 - 0.305033i) q^{85} +(-2.32988 + 7.17063i) q^{86} +(-1.97021 + 3.41250i) q^{87} +(-5.18891 - 8.98745i) q^{88} +(-17.3804 + 3.69433i) q^{89} +(8.29634 + 6.02765i) q^{90} +(-2.85376 - 4.37403i) q^{91} +2.77843 q^{92} +(3.54080 + 4.89883i) q^{93} +(-4.50534 - 7.80348i) q^{94} +(1.57972 + 15.0300i) q^{95} +(-1.97387 - 1.43410i) q^{96} +(8.07892 + 8.97255i) q^{97} +(-3.79937 + 6.58069i) q^{98} -7.63565 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 280q + q^{2} + 39q^{4} - 8q^{5} - 2q^{7} + 12q^{8} + 29q^{9} + O(q^{10}) \) \( 280q + q^{2} + 39q^{4} - 8q^{5} - 2q^{7} + 12q^{8} + 29q^{9} - 21q^{10} - q^{11} - 16q^{12} - 54q^{14} - 27q^{15} + 31q^{16} + 2q^{17} - 10q^{18} + 5q^{19} - 3q^{20} + 68q^{21} - 39q^{22} - 7q^{23} + 48q^{24} + 200q^{25} + 6q^{26} - 78q^{27} + 30q^{28} - 16q^{29} - 66q^{30} - 62q^{31} - 56q^{32} - 20q^{33} - 126q^{34} - 37q^{35} - 140q^{36} - 36q^{37} + 4q^{38} + 28q^{39} - 158q^{40} - 4q^{41} + 16q^{42} - 16q^{43} + 42q^{44} - 46q^{45} - 29q^{46} + 8q^{47} - 36q^{48} + 43q^{49} - 5q^{50} - 134q^{51} - q^{52} + 8q^{53} + 44q^{54} - 55q^{55} - 42q^{56} + 140q^{57} + 38q^{58} - 23q^{59} + 38q^{60} + 40q^{61} + 19q^{62} - 146q^{63} - 68q^{64} + 2q^{65} + 6q^{66} + 46q^{67} + 86q^{68} - 32q^{69} - 4q^{70} + 60q^{71} + 73q^{72} - 12q^{73} - 44q^{74} + 16q^{75} - 70q^{76} + 10q^{77} - 142q^{78} + 134q^{79} - 72q^{80} - 18q^{81} + 28q^{82} - 88q^{83} + 81q^{84} - 69q^{85} + 188q^{86} - 28q^{87} + 42q^{88} + 12q^{89} + 22q^{90} + 67q^{91} - 324q^{92} - 25q^{93} - 62q^{94} + 16q^{95} + 276q^{96} + 16q^{97} + 76q^{98} - 60q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41616 0.630515i −1.00138 0.445841i −0.160481 0.987039i \(-0.551304\pi\)
−0.840895 + 0.541198i \(0.817971\pi\)
\(3\) −0.113478 + 1.07967i −0.0655167 + 0.623350i 0.911663 + 0.410938i \(0.134799\pi\)
−0.977180 + 0.212412i \(0.931868\pi\)
\(4\) 0.269698 + 0.299530i 0.134849 + 0.149765i
\(5\) −3.63191 −1.62424 −0.812120 0.583490i \(-0.801687\pi\)
−0.812120 + 0.583490i \(0.801687\pi\)
\(6\) 0.841454 1.45744i 0.343522 0.594998i
\(7\) −0.969238 1.07645i −0.366337 0.406859i 0.531591 0.847001i \(-0.321595\pi\)
−0.897928 + 0.440143i \(0.854928\pi\)
\(8\) 0.764987 + 2.35439i 0.270464 + 0.832401i
\(9\) 1.78162 + 0.378696i 0.593875 + 0.126232i
\(10\) 5.14337 + 2.28997i 1.62648 + 0.724154i
\(11\) −4.10052 + 0.871592i −1.23635 + 0.262795i −0.779304 0.626647i \(-0.784427\pi\)
−0.457049 + 0.889441i \(0.651094\pi\)
\(12\) −0.353999 + 0.257195i −0.102191 + 0.0742459i
\(13\) 3.56235 + 0.556465i 0.988018 + 0.154336i
\(14\) 0.693879 + 2.13554i 0.185447 + 0.570747i
\(15\) 0.412143 3.92128i 0.106415 1.01247i
\(16\) 0.485395 4.61822i 0.121349 1.15456i
\(17\) 0.395127 + 0.0839868i 0.0958323 + 0.0203698i 0.255578 0.966788i \(-0.417734\pi\)
−0.159746 + 0.987158i \(0.551067\pi\)
\(18\) −2.28429 1.65963i −0.538413 0.391180i
\(19\) −0.434956 4.13833i −0.0997857 0.949397i −0.923812 0.382846i \(-0.874944\pi\)
0.824026 0.566551i \(-0.191723\pi\)
\(20\) −0.979518 1.08787i −0.219027 0.243254i
\(21\) 1.27220 0.924307i 0.277617 0.201700i
\(22\) 6.35654 + 1.35112i 1.35522 + 0.288061i
\(23\) 4.61258 5.12279i 0.961790 1.06818i −0.0358392 0.999358i \(-0.511410\pi\)
0.997629 0.0688184i \(-0.0219229\pi\)
\(24\) −2.62878 + 0.558764i −0.536597 + 0.114057i
\(25\) 8.19079 1.63816
\(26\) −4.69400 3.03416i −0.920569 0.595047i
\(27\) −1.61747 + 4.97806i −0.311282 + 0.958028i
\(28\) 0.0610268 0.580631i 0.0115330 0.109729i
\(29\) 3.31584 + 1.47631i 0.615737 + 0.274144i 0.690812 0.723034i \(-0.257253\pi\)
−0.0750756 + 0.997178i \(0.523920\pi\)
\(30\) −3.05609 + 5.29330i −0.557962 + 0.966419i
\(31\) 4.14682 3.71536i 0.744791 0.667298i
\(32\) −1.12370 + 1.94631i −0.198645 + 0.344063i
\(33\) −0.475715 4.52613i −0.0828114 0.787898i
\(34\) −0.506607 0.368072i −0.0868825 0.0631238i
\(35\) 3.52019 + 3.90956i 0.595020 + 0.660837i
\(36\) 0.367069 + 0.635783i 0.0611782 + 0.105964i
\(37\) 4.01631 + 6.95646i 0.660278 + 1.14363i 0.980543 + 0.196307i \(0.0628948\pi\)
−0.320265 + 0.947328i \(0.603772\pi\)
\(38\) −1.99331 + 6.13478i −0.323358 + 0.995192i
\(39\) −1.00505 + 3.78303i −0.160937 + 0.605770i
\(40\) −2.77836 8.55093i −0.439298 1.35202i
\(41\) 5.25959 + 2.34172i 0.821410 + 0.365715i 0.774020 0.633161i \(-0.218243\pi\)
0.0473903 + 0.998876i \(0.484910\pi\)
\(42\) −2.38443 + 0.506826i −0.367925 + 0.0782049i
\(43\) −0.508398 4.83708i −0.0775299 0.737648i −0.962368 0.271749i \(-0.912398\pi\)
0.884838 0.465899i \(-0.154269\pi\)
\(44\) −1.36697 0.993160i −0.206078 0.149725i
\(45\) −6.47070 1.37539i −0.964595 0.205031i
\(46\) −9.76215 + 4.34639i −1.43935 + 0.640840i
\(47\) 4.70255 + 3.41660i 0.685937 + 0.498362i 0.875322 0.483540i \(-0.160649\pi\)
−0.189385 + 0.981903i \(0.560649\pi\)
\(48\) 4.93109 + 1.04814i 0.711742 + 0.151285i
\(49\) 0.512382 4.87499i 0.0731974 0.696427i
\(50\) −11.5995 5.16441i −1.64041 0.730358i
\(51\) −0.135517 + 0.417077i −0.0189761 + 0.0584025i
\(52\) 0.794080 + 1.21711i 0.110119 + 0.168782i
\(53\) −2.89921 8.92286i −0.398237 1.22565i −0.926412 0.376513i \(-0.877123\pi\)
0.528174 0.849136i \(-0.322877\pi\)
\(54\) 5.42934 6.02989i 0.738839 0.820564i
\(55\) 14.8927 3.16555i 2.00813 0.426842i
\(56\) 1.79292 3.10543i 0.239589 0.414980i
\(57\) 4.51740 0.598345
\(58\) −3.76493 4.18138i −0.494359 0.549042i
\(59\) −1.02812 + 0.457747i −0.133849 + 0.0595936i −0.472568 0.881294i \(-0.656673\pi\)
0.338719 + 0.940888i \(0.390006\pi\)
\(60\) 1.28569 0.934111i 0.165982 0.120593i
\(61\) −4.67059 + 8.08970i −0.598008 + 1.03578i 0.395107 + 0.918635i \(0.370708\pi\)
−0.993115 + 0.117145i \(0.962626\pi\)
\(62\) −8.21515 + 2.64690i −1.04332 + 0.336157i
\(63\) −1.31917 2.28487i −0.166200 0.287867i
\(64\) −4.69507 + 3.41117i −0.586884 + 0.426396i
\(65\) −12.9381 2.02103i −1.60478 0.250678i
\(66\) −2.18010 + 6.70967i −0.268352 + 0.825903i
\(67\) −2.75711 4.77546i −0.336835 0.583416i 0.647000 0.762490i \(-0.276023\pi\)
−0.983836 + 0.179074i \(0.942690\pi\)
\(68\) 0.0814082 + 0.141003i 0.00987220 + 0.0170991i
\(69\) 5.00752 + 5.56141i 0.602834 + 0.669515i
\(70\) −2.52011 7.75609i −0.301210 0.927030i
\(71\) 6.52847 + 1.38767i 0.774786 + 0.164686i 0.578304 0.815821i \(-0.303715\pi\)
0.196483 + 0.980507i \(0.437048\pi\)
\(72\) 0.471322 + 4.48433i 0.0555458 + 0.528483i
\(73\) 2.86102 8.80532i 0.334857 1.03059i −0.631935 0.775021i \(-0.717739\pi\)
0.966792 0.255564i \(-0.0822610\pi\)
\(74\) −1.30159 12.3838i −0.151307 1.43959i
\(75\) −0.929476 + 8.84338i −0.107327 + 1.02115i
\(76\) 1.12225 1.24638i 0.128730 0.142970i
\(77\) 4.91260 + 3.56921i 0.559843 + 0.406749i
\(78\) 3.80857 4.72368i 0.431235 0.534851i
\(79\) 2.36443 + 7.27697i 0.266019 + 0.818724i 0.991457 + 0.130435i \(0.0416375\pi\)
−0.725437 + 0.688288i \(0.758362\pi\)
\(80\) −1.76291 + 16.7730i −0.197099 + 1.87528i
\(81\) −0.199266 0.0887188i −0.0221406 0.00985765i
\(82\) −5.97193 6.63250i −0.659490 0.732437i
\(83\) 5.86557 4.26158i 0.643829 0.467769i −0.217334 0.976097i \(-0.569736\pi\)
0.861164 + 0.508328i \(0.169736\pi\)
\(84\) 0.619967 + 0.131778i 0.0676439 + 0.0143782i
\(85\) −1.43507 0.305033i −0.155655 0.0330854i
\(86\) −2.32988 + 7.17063i −0.251237 + 0.773229i
\(87\) −1.97021 + 3.41250i −0.211228 + 0.365858i
\(88\) −5.18891 8.98745i −0.553139 0.958065i
\(89\) −17.3804 + 3.69433i −1.84232 + 0.391598i −0.991090 0.133190i \(-0.957478\pi\)
−0.851233 + 0.524788i \(0.824144\pi\)
\(90\) 8.29634 + 6.02765i 0.874511 + 0.635370i
\(91\) −2.85376 4.37403i −0.299155 0.458523i
\(92\) 2.77843 0.289671
\(93\) 3.54080 + 4.89883i 0.367164 + 0.507985i
\(94\) −4.50534 7.80348i −0.464690 0.804867i
\(95\) 1.57972 + 15.0300i 0.162076 + 1.54205i
\(96\) −1.97387 1.43410i −0.201457 0.146367i
\(97\) 8.07892 + 8.97255i 0.820290 + 0.911025i 0.997319 0.0731809i \(-0.0233151\pi\)
−0.177028 + 0.984206i \(0.556648\pi\)
\(98\) −3.79937 + 6.58069i −0.383794 + 0.664751i
\(99\) −7.63565 −0.767412
\(100\) 2.20904 + 2.45338i 0.220904 + 0.245338i
\(101\) −12.6147 + 14.0101i −1.25521 + 1.39405i −0.369889 + 0.929076i \(0.620604\pi\)
−0.885323 + 0.464977i \(0.846063\pi\)
\(102\) 0.454887 0.505203i 0.0450405 0.0500225i
\(103\) 10.8710 7.89821i 1.07115 0.778234i 0.0950287 0.995475i \(-0.469706\pi\)
0.976118 + 0.217241i \(0.0697057\pi\)
\(104\) 1.41502 + 8.81284i 0.138754 + 0.864170i
\(105\) −4.62052 + 3.35700i −0.450916 + 0.327610i
\(106\) −1.52025 + 14.4642i −0.147659 + 1.40489i
\(107\) 6.21616 6.90374i 0.600938 0.667410i −0.363538 0.931579i \(-0.618431\pi\)
0.964476 + 0.264170i \(0.0850979\pi\)
\(108\) −1.92730 + 0.858091i −0.185455 + 0.0825699i
\(109\) −2.66972 1.93967i −0.255713 0.185786i 0.452542 0.891743i \(-0.350517\pi\)
−0.708255 + 0.705957i \(0.750517\pi\)
\(110\) −23.0864 4.90716i −2.20120 0.467880i
\(111\) −7.96647 + 3.54690i −0.756144 + 0.336657i
\(112\) −5.44173 + 3.95365i −0.514196 + 0.373585i
\(113\) −3.40757 3.78449i −0.320557 0.356015i 0.561232 0.827658i \(-0.310328\pi\)
−0.881789 + 0.471644i \(0.843661\pi\)
\(114\) −6.39736 2.84829i −0.599168 0.266767i
\(115\) −16.7525 + 18.6055i −1.56218 + 1.73497i
\(116\) 0.452077 + 1.39135i 0.0419743 + 0.129184i
\(117\) 6.13604 + 2.34046i 0.567277 + 0.216376i
\(118\) 1.74459 0.160603
\(119\) −0.292564 0.506736i −0.0268193 0.0464524i
\(120\) 9.54750 2.02938i 0.871563 0.185256i
\(121\) 6.00557 2.67385i 0.545961 0.243078i
\(122\) 11.7150 8.51143i 1.06062 0.770589i
\(123\) −3.12515 + 5.41291i −0.281785 + 0.488066i
\(124\) 2.23125 + 0.240073i 0.200372 + 0.0215592i
\(125\) −11.5887 −1.03652
\(126\) 0.427511 + 4.06750i 0.0380857 + 0.362362i
\(127\) −1.19714 + 11.3900i −0.106229 + 1.01070i 0.803445 + 0.595380i \(0.202998\pi\)
−0.909674 + 0.415324i \(0.863668\pi\)
\(128\) 13.1964 2.80497i 1.16640 0.247927i
\(129\) 5.28016 0.464892
\(130\) 17.0482 + 11.0198i 1.49523 + 0.966500i
\(131\) 4.83099 14.8683i 0.422085 1.29905i −0.483672 0.875249i \(-0.660697\pi\)
0.905758 0.423796i \(-0.139303\pi\)
\(132\) 1.22741 1.36318i 0.106832 0.118649i
\(133\) −4.03312 + 4.47923i −0.349716 + 0.388398i
\(134\) 0.893514 + 8.50122i 0.0771879 + 0.734393i
\(135\) 5.87451 18.0799i 0.505597 1.55607i
\(136\) 0.104529 + 0.994530i 0.00896331 + 0.0852802i
\(137\) 9.48304 4.22212i 0.810191 0.360720i 0.0405343 0.999178i \(-0.487094\pi\)
0.769657 + 0.638458i \(0.220427\pi\)
\(138\) −3.58489 11.0332i −0.305166 0.939205i
\(139\) 5.66612 2.52272i 0.480594 0.213974i −0.152117 0.988363i \(-0.548609\pi\)
0.632711 + 0.774388i \(0.281942\pi\)
\(140\) −0.221644 + 2.10880i −0.0187323 + 0.178226i
\(141\) −4.22245 + 4.68951i −0.355595 + 0.394928i
\(142\) −8.37041 6.08146i −0.702429 0.510344i
\(143\) −15.0925 + 0.823123i −1.26210 + 0.0688330i
\(144\) 2.61369 8.04412i 0.217808 0.670343i
\(145\) −12.0429 5.36182i −1.00010 0.445275i
\(146\) −9.60355 + 10.6658i −0.794796 + 0.882710i
\(147\) 5.20525 + 1.10641i 0.429322 + 0.0912552i
\(148\) −1.00047 + 3.07915i −0.0822385 + 0.253104i
\(149\) 6.08272 10.5356i 0.498315 0.863108i −0.501683 0.865052i \(-0.667285\pi\)
0.999998 + 0.00194403i \(0.000618804\pi\)
\(150\) 6.89217 11.9376i 0.562743 0.974700i
\(151\) 3.13568 9.65062i 0.255178 0.785356i −0.738617 0.674125i \(-0.764521\pi\)
0.993795 0.111231i \(-0.0354792\pi\)
\(152\) 9.41049 4.18982i 0.763291 0.339839i
\(153\) 0.672162 + 0.299266i 0.0543411 + 0.0241942i
\(154\) −4.70658 8.15204i −0.379267 0.656910i
\(155\) −15.0609 + 13.4938i −1.20972 + 1.08385i
\(156\) −1.40419 + 0.719233i −0.112425 + 0.0575847i
\(157\) 2.33286 1.69492i 0.186182 0.135269i −0.490790 0.871278i \(-0.663292\pi\)
0.676972 + 0.736009i \(0.263292\pi\)
\(158\) 1.23983 11.7962i 0.0986353 0.938453i
\(159\) 9.96277 2.11765i 0.790099 0.167941i
\(160\) 4.08119 7.06884i 0.322647 0.558841i
\(161\) −9.98510 −0.786936
\(162\) 0.226254 + 0.251280i 0.0177762 + 0.0197424i
\(163\) 10.7038 + 2.27517i 0.838388 + 0.178205i 0.607045 0.794667i \(-0.292355\pi\)
0.231343 + 0.972872i \(0.425688\pi\)
\(164\) 0.717085 + 2.20696i 0.0559949 + 0.172335i
\(165\) 1.72776 + 16.4385i 0.134506 + 1.27974i
\(166\) −10.9936 + 2.33675i −0.853266 + 0.181367i
\(167\) −3.36261 1.49713i −0.260206 0.115851i 0.272488 0.962159i \(-0.412154\pi\)
−0.532694 + 0.846308i \(0.678820\pi\)
\(168\) 3.14939 + 2.28817i 0.242981 + 0.176536i
\(169\) 12.3807 + 3.96465i 0.952361 + 0.304973i
\(170\) 1.83995 + 1.33680i 0.141118 + 0.102528i
\(171\) 0.792240 7.53766i 0.0605841 0.576419i
\(172\) 1.31174 1.45683i 0.100019 0.111082i
\(173\) 4.35560 1.93924i 0.331150 0.147437i −0.234425 0.972134i \(-0.575321\pi\)
0.565575 + 0.824697i \(0.308654\pi\)
\(174\) 4.94176 3.59040i 0.374634 0.272188i
\(175\) −7.93882 8.81695i −0.600118 0.666499i
\(176\) 2.03483 + 19.3602i 0.153381 + 1.45933i
\(177\) −0.377549 1.16198i −0.0283783 0.0873394i
\(178\) 26.9428 + 5.72687i 2.01945 + 0.429247i
\(179\) 4.01122 0.852610i 0.299812 0.0637271i −0.0555494 0.998456i \(-0.517691\pi\)
0.355362 + 0.934729i \(0.384358\pi\)
\(180\) −1.33316 2.30911i −0.0993681 0.172111i
\(181\) 5.92187 0.440169 0.220085 0.975481i \(-0.429367\pi\)
0.220085 + 0.975481i \(0.429367\pi\)
\(182\) 1.28349 + 7.99366i 0.0951385 + 0.592530i
\(183\) −8.20423 5.96072i −0.606474 0.440629i
\(184\) 15.5896 + 6.94094i 1.14928 + 0.511693i
\(185\) −14.5869 25.2652i −1.07245 1.85754i
\(186\) −1.92555 9.17005i −0.141188 0.672381i
\(187\) −1.69343 −0.123836
\(188\) 0.244893 + 2.33000i 0.0178607 + 0.169933i
\(189\) 6.92633 3.08380i 0.503817 0.224314i
\(190\) 7.23953 22.2810i 0.525211 1.61643i
\(191\) −3.12571 + 5.41390i −0.226169 + 0.391736i −0.956669 0.291176i \(-0.905953\pi\)
0.730501 + 0.682912i \(0.239287\pi\)
\(192\) −3.15016 5.45624i −0.227343 0.393770i
\(193\) 15.2796 3.24778i 1.09985 0.233780i 0.377983 0.925813i \(-0.376618\pi\)
0.721866 + 0.692032i \(0.243285\pi\)
\(194\) −5.78372 17.8004i −0.415247 1.27800i
\(195\) 3.65025 13.7396i 0.261400 0.983916i
\(196\) 1.59839 1.16130i 0.114171 0.0829499i
\(197\) 15.1366 3.21739i 1.07844 0.229230i 0.365754 0.930712i \(-0.380811\pi\)
0.712687 + 0.701482i \(0.247478\pi\)
\(198\) 10.8133 + 4.81439i 0.768468 + 0.342144i
\(199\) −8.89761 + 3.96147i −0.630735 + 0.280821i −0.697100 0.716974i \(-0.745526\pi\)
0.0663650 + 0.997795i \(0.478860\pi\)
\(200\) 6.26584 + 19.2843i 0.443062 + 1.36360i
\(201\) 5.46882 2.43487i 0.385740 0.171743i
\(202\) 26.6980 11.8867i 1.87847 0.836347i
\(203\) −1.62467 5.00022i −0.114030 0.350947i
\(204\) −0.161476 + 0.0718935i −0.0113055 + 0.00503355i
\(205\) −19.1024 8.50493i −1.33417 0.594010i
\(206\) −20.3749 + 4.33083i −1.41959 + 0.301743i
\(207\) 10.1579 7.38012i 0.706021 0.512954i
\(208\) 4.29902 16.1816i 0.298084 1.12199i
\(209\) 5.39048 + 16.5902i 0.372867 + 1.14757i
\(210\) 8.66003 1.84075i 0.597599 0.127024i
\(211\) −2.44927 4.24226i −0.168615 0.292049i 0.769318 0.638866i \(-0.220596\pi\)
−0.937933 + 0.346817i \(0.887263\pi\)
\(212\) 1.89075 3.27487i 0.129857 0.224919i
\(213\) −2.23907 + 6.89115i −0.153418 + 0.472173i
\(214\) −13.1560 + 5.85742i −0.899324 + 0.400405i
\(215\) 1.84646 + 17.5678i 0.125927 + 1.19812i
\(216\) −12.9576 −0.881655
\(217\) −8.01864 0.862774i −0.544341 0.0585689i
\(218\) 2.55776 + 4.43018i 0.173234 + 0.300050i
\(219\) 9.18221 + 4.08818i 0.620476 + 0.276254i
\(220\) 4.96471 + 3.60707i 0.334720 + 0.243189i
\(221\) 1.36084 + 0.519064i 0.0915403 + 0.0349160i
\(222\) 13.5182 0.907280
\(223\) −9.66453 16.7394i −0.647185 1.12096i −0.983792 0.179312i \(-0.942613\pi\)
0.336608 0.941645i \(-0.390720\pi\)
\(224\) 3.18424 0.676831i 0.212756 0.0452227i
\(225\) 14.5929 + 3.10182i 0.972860 + 0.206788i
\(226\) 2.43949 + 7.50796i 0.162272 + 0.499422i
\(227\) −2.66919 25.3956i −0.177160 1.68557i −0.616586 0.787288i \(-0.711485\pi\)
0.439425 0.898279i \(-0.355182\pi\)
\(228\) 1.21833 + 1.35310i 0.0806861 + 0.0896110i
\(229\) 1.18800 0.863132i 0.0785052 0.0570374i −0.547840 0.836583i \(-0.684550\pi\)
0.626346 + 0.779546i \(0.284550\pi\)
\(230\) 35.4553 15.7857i 2.33785 1.04088i
\(231\) −4.41106 + 4.89898i −0.290226 + 0.322329i
\(232\) −0.939226 + 8.93613i −0.0616632 + 0.586686i
\(233\) −14.7160 10.6918i −0.964074 0.700441i −0.00998098 0.999950i \(-0.503177\pi\)
−0.954093 + 0.299509i \(0.903177\pi\)
\(234\) −7.21392 7.18333i −0.471589 0.469589i
\(235\) −17.0792 12.4088i −1.11413 0.809460i
\(236\) −0.414390 0.184498i −0.0269745 0.0120098i
\(237\) −8.12507 + 1.72704i −0.527780 + 0.112183i
\(238\) 0.0948130 + 0.902085i 0.00614581 + 0.0584735i
\(239\) −0.746721 2.29817i −0.0483014 0.148656i 0.923997 0.382400i \(-0.124902\pi\)
−0.972298 + 0.233744i \(0.924902\pi\)
\(240\) −17.9093 3.80674i −1.15604 0.245724i
\(241\) −0.367057 0.407658i −0.0236442 0.0262596i 0.731207 0.682156i \(-0.238957\pi\)
−0.754851 + 0.655896i \(0.772291\pi\)
\(242\) −10.1908 −0.655086
\(243\) −7.73296 + 13.3939i −0.496070 + 0.859218i
\(244\) −3.68275 + 0.782793i −0.235764 + 0.0501132i
\(245\) −1.86093 + 17.7055i −0.118890 + 1.13116i
\(246\) 7.83863 5.69509i 0.499773 0.363106i
\(247\) 0.753368 14.9842i 0.0479357 0.953423i
\(248\) 11.9196 + 6.92103i 0.756898 + 0.439486i
\(249\) 3.93551 + 6.81649i 0.249403 + 0.431978i
\(250\) 16.4114 + 7.30682i 1.03795 + 0.462124i
\(251\) −21.6856 + 9.65505i −1.36878 + 0.609421i −0.953809 0.300413i \(-0.902876\pi\)
−0.414973 + 0.909834i \(0.636209\pi\)
\(252\) 0.328609 1.01136i 0.0207004 0.0637094i
\(253\) −14.4490 + 25.0264i −0.908400 + 1.57340i
\(254\) 8.87694 15.3753i 0.556989 0.964732i
\(255\) 0.492184 1.51479i 0.0308218 0.0948597i
\(256\) −9.10351 1.93501i −0.568969 0.120938i
\(257\) −0.646078 + 0.717542i −0.0403012 + 0.0447590i −0.762958 0.646448i \(-0.776254\pi\)
0.722657 + 0.691207i \(0.242921\pi\)
\(258\) −7.47755 3.32922i −0.465532 0.207268i
\(259\) 3.59550 11.0658i 0.223413 0.687596i
\(260\) −2.88403 4.42043i −0.178860 0.274143i
\(261\) 5.34852 + 3.88592i 0.331065 + 0.240533i
\(262\) −16.2161 + 18.0098i −1.00183 + 1.11265i
\(263\) 0.979739 9.32160i 0.0604133 0.574794i −0.921884 0.387466i \(-0.873350\pi\)
0.982297 0.187328i \(-0.0599828\pi\)
\(264\) 10.2923 4.58245i 0.633450 0.282030i
\(265\) 10.5297 + 32.4070i 0.646833 + 1.99075i
\(266\) 8.53576 3.80036i 0.523361 0.233015i
\(267\) −2.01637 19.1844i −0.123400 1.17407i
\(268\) 0.686805 2.11377i 0.0419533 0.129119i
\(269\) 2.25223 + 21.4285i 0.137321 + 1.30652i 0.818544 + 0.574444i \(0.194782\pi\)
−0.681223 + 0.732076i \(0.738552\pi\)
\(270\) −19.7189 + 21.9000i −1.20005 + 1.33279i
\(271\) −14.7946 + 16.4311i −0.898710 + 0.998119i 0.101284 + 0.994858i \(0.467705\pi\)
−0.999995 + 0.00326143i \(0.998962\pi\)
\(272\) 0.579662 1.78402i 0.0351472 0.108172i
\(273\) 5.04637 2.58477i 0.305420 0.156438i
\(274\) −16.0916 −0.972130
\(275\) −33.5865 + 7.13902i −2.02534 + 0.430499i
\(276\) −0.315292 + 2.99980i −0.0189783 + 0.180567i
\(277\) 3.09886 + 29.4837i 0.186193 + 1.77150i 0.545332 + 0.838220i \(0.316403\pi\)
−0.359140 + 0.933284i \(0.616930\pi\)
\(278\) −9.61474 −0.576654
\(279\) 8.79507 5.04898i 0.526547 0.302275i
\(280\) −6.51173 + 11.2786i −0.389150 + 0.674028i
\(281\) 24.9447 18.1234i 1.48808 1.08115i 0.513234 0.858249i \(-0.328447\pi\)
0.974841 0.222901i \(-0.0715528\pi\)
\(282\) 8.93647 3.97877i 0.532159 0.236932i
\(283\) 31.7208 6.74247i 1.88561 0.400798i 0.887419 0.460964i \(-0.152496\pi\)
0.998188 + 0.0601662i \(0.0191631\pi\)
\(284\) 1.34506 + 2.32972i 0.0798149 + 0.138243i
\(285\) −16.4068 −0.971855
\(286\) 21.8924 + 8.35037i 1.29452 + 0.493768i
\(287\) −2.57705 7.93136i −0.152119 0.468173i
\(288\) −2.73908 + 3.04206i −0.161402 + 0.179255i
\(289\) −15.3812 6.84815i −0.904777 0.402832i
\(290\) 13.6739 + 15.1864i 0.802958 + 0.891776i
\(291\) −10.6042 + 7.70441i −0.621630 + 0.451641i
\(292\) 3.40907 1.51781i 0.199501 0.0888234i
\(293\) 14.2832 + 3.03599i 0.834433 + 0.177364i 0.605267 0.796023i \(-0.293067\pi\)
0.229167 + 0.973387i \(0.426400\pi\)
\(294\) −6.67386 4.84884i −0.389227 0.282790i
\(295\) 3.73403 1.66250i 0.217404 0.0967943i
\(296\) −13.3058 + 14.7776i −0.773382 + 0.858928i
\(297\) 2.29363 21.8224i 0.133090 1.26626i
\(298\) −15.2569 + 11.0848i −0.883810 + 0.642126i
\(299\) 19.2823 15.6824i 1.11512 0.906939i
\(300\) −2.89953 + 2.10663i −0.167405 + 0.121627i
\(301\) −4.71410 + 5.23554i −0.271716 + 0.301772i
\(302\) −10.5255 + 11.6897i −0.605673 + 0.672668i
\(303\) −13.6948 15.2096i −0.786746 0.873770i
\(304\) −19.3228 −1.10824
\(305\) 16.9632 29.3811i 0.971309 1.68236i
\(306\) −0.763197 0.847616i −0.0436291 0.0484550i
\(307\) −4.00597 2.91050i −0.228633 0.166111i 0.467571 0.883955i \(-0.345129\pi\)
−0.696204 + 0.717844i \(0.745129\pi\)
\(308\) 0.255832 + 2.43408i 0.0145774 + 0.138694i
\(309\) 7.29387 + 12.6334i 0.414934 + 0.718687i
\(310\) 29.8367 9.61332i 1.69461 0.546000i
\(311\) 25.3571 1.43787 0.718934 0.695079i \(-0.244630\pi\)
0.718934 + 0.695079i \(0.244630\pi\)
\(312\) −9.67557 + 0.527692i −0.547771 + 0.0298747i
\(313\) 22.0593 + 16.0270i 1.24686 + 0.905900i 0.998036 0.0626476i \(-0.0199544\pi\)
0.248829 + 0.968548i \(0.419954\pi\)
\(314\) −4.37237 + 0.929376i −0.246747 + 0.0524477i
\(315\) 4.79111 + 8.29845i 0.269949 + 0.467565i
\(316\) −1.54199 + 2.67080i −0.0867436 + 0.150244i
\(317\) 1.80595 5.55813i 0.101432 0.312176i −0.887444 0.460915i \(-0.847521\pi\)
0.988877 + 0.148739i \(0.0475214\pi\)
\(318\) −15.4441 3.28274i −0.866061 0.184087i
\(319\) −14.8834 3.16357i −0.833311 0.177126i
\(320\) 17.0521 12.3891i 0.953241 0.692570i
\(321\) 6.74839 + 7.49485i 0.376658 + 0.418322i
\(322\) 14.1405 + 6.29576i 0.788019 + 0.350849i
\(323\) 0.175702 1.67169i 0.00977633 0.0930155i
\(324\) −0.0271676 0.0836133i −0.00150931 0.00464518i
\(325\) 29.1785 + 4.55788i 1.61853 + 0.252826i
\(326\) −13.7238 9.97092i −0.760090 0.552238i
\(327\) 2.39716 2.66232i 0.132563 0.147227i
\(328\) −1.48980 + 14.1745i −0.0822605 + 0.782656i
\(329\) −0.880095 8.37354i −0.0485212 0.461648i
\(330\) 7.91794 24.3689i 0.435868 1.34146i
\(331\) −1.84984 17.6000i −0.101676 0.967385i −0.919812 0.392360i \(-0.871659\pi\)
0.818136 0.575025i \(-0.195008\pi\)
\(332\) 2.85840 + 0.607572i 0.156875 + 0.0333448i
\(333\) 4.52118 + 13.9148i 0.247759 + 0.762524i
\(334\) 3.81803 + 4.24035i 0.208913 + 0.232021i
\(335\) 10.0136 + 17.3441i 0.547101 + 0.947607i
\(336\) −3.65114 6.32395i −0.199186 0.345000i
\(337\) −5.80520 + 17.8666i −0.316229 + 0.973254i 0.659016 + 0.752129i \(0.270973\pi\)
−0.975245 + 0.221125i \(0.929027\pi\)
\(338\) −15.0333 13.4208i −0.817702 0.729994i
\(339\) 4.47270 3.24961i 0.242924 0.176494i
\(340\) −0.295667 0.512111i −0.0160348 0.0277731i
\(341\) −13.7658 + 18.8492i −0.745462 + 1.02074i
\(342\) −5.87455 + 10.1750i −0.317659 + 0.550202i
\(343\) −13.9473 + 10.1333i −0.753085 + 0.547148i
\(344\) 10.9994 4.89727i 0.593050 0.264043i
\(345\) −18.1869 20.1986i −0.979148 1.08745i
\(346\) −7.39094 −0.397339
\(347\) −3.77997 + 6.54710i −0.202920 + 0.351467i −0.949468 0.313864i \(-0.898376\pi\)
0.746548 + 0.665331i \(0.231710\pi\)
\(348\) −1.55351 + 0.330208i −0.0832766 + 0.0177010i
\(349\) −9.72233 + 10.7977i −0.520425 + 0.577990i −0.944863 0.327467i \(-0.893805\pi\)
0.424438 + 0.905457i \(0.360472\pi\)
\(350\) 5.68341 + 17.4917i 0.303791 + 0.934973i
\(351\) −8.53211 + 16.8335i −0.455410 + 0.898508i
\(352\) 2.91138 8.96030i 0.155177 0.477586i
\(353\) −2.12236 0.944933i −0.112962 0.0502937i 0.349478 0.936945i \(-0.386359\pi\)
−0.462439 + 0.886651i \(0.653026\pi\)
\(354\) −0.197974 + 1.88359i −0.0105222 + 0.100112i
\(355\) −23.7108 5.03989i −1.25844 0.267490i
\(356\) −5.79403 4.20961i −0.307083 0.223109i
\(357\) 0.580309 0.258370i 0.0307132 0.0136744i
\(358\) −6.21810 1.32170i −0.328637 0.0698540i
\(359\) 4.08203 + 2.96577i 0.215441 + 0.156527i 0.690272 0.723550i \(-0.257491\pi\)
−0.474831 + 0.880077i \(0.657491\pi\)
\(360\) −1.71180 16.2867i −0.0902198 0.858384i
\(361\) 1.64824 0.350343i 0.0867492 0.0184391i
\(362\) −8.38631 3.73383i −0.440775 0.196246i
\(363\) 2.20539 + 6.78749i 0.115753 + 0.356251i
\(364\) 0.540499 2.03445i 0.0283299 0.106634i
\(365\) −10.3910 + 31.9802i −0.543889 + 1.67392i
\(366\) 7.86017 + 13.6142i 0.410858 + 0.711627i
\(367\) −8.93656 15.4786i −0.466485 0.807975i 0.532783 0.846252i \(-0.321146\pi\)
−0.999267 + 0.0382772i \(0.987813\pi\)
\(368\) −21.4193 23.7885i −1.11656 1.24006i
\(369\) 8.48382 + 6.16385i 0.441650 + 0.320877i
\(370\) 4.72726 + 44.9769i 0.245759 + 2.33824i
\(371\) −6.79496 + 11.7692i −0.352777 + 0.611027i
\(372\) −0.512399 + 2.38178i −0.0265667 + 0.123489i
\(373\) 3.66128 6.34152i 0.189574 0.328351i −0.755534 0.655109i \(-0.772623\pi\)
0.945108 + 0.326758i \(0.105956\pi\)
\(374\) 2.39816 + 1.06773i 0.124006 + 0.0552110i
\(375\) 1.31506 12.5120i 0.0679094 0.646115i
\(376\) −4.44661 + 13.6853i −0.229317 + 0.705764i
\(377\) 10.9907 + 7.10428i 0.566049 + 0.365889i
\(378\) −11.7532 −0.604518
\(379\) 6.72704 1.42988i 0.345545 0.0734478i −0.0318702 0.999492i \(-0.510146\pi\)
0.377415 + 0.926044i \(0.376813\pi\)
\(380\) −4.07590 + 4.52674i −0.209089 + 0.232217i
\(381\) −12.1617 2.58505i −0.623062 0.132436i
\(382\) 7.84005 5.69613i 0.401132 0.291439i
\(383\) −6.41245 7.12175i −0.327661 0.363904i 0.556695 0.830717i \(-0.312069\pi\)
−0.884356 + 0.466812i \(0.845402\pi\)
\(384\) 1.53096 + 14.5661i 0.0781263 + 0.743322i
\(385\) −17.8421 12.9631i −0.909319 0.660659i
\(386\) −23.6861 5.03464i −1.20559 0.256256i
\(387\) 0.926009 8.81039i 0.0470717 0.447857i
\(388\) −0.508679 + 4.83975i −0.0258242 + 0.245701i
\(389\) −2.84892 8.76806i −0.144446 0.444559i 0.852493 0.522738i \(-0.175089\pi\)
−0.996939 + 0.0781793i \(0.975089\pi\)
\(390\) −13.8324 + 17.1560i −0.700430 + 0.868727i
\(391\) 2.25280 1.63676i 0.113929 0.0827743i
\(392\) 11.8696 2.52295i 0.599504 0.127428i
\(393\) 15.5047 + 6.90312i 0.782106 + 0.348216i
\(394\) −23.4645 4.98754i −1.18213 0.251268i
\(395\) −8.58741 26.4293i −0.432080 1.32980i
\(396\) −2.05932 2.28710i −0.103485 0.114931i
\(397\) −16.6382 + 28.8182i −0.835046 + 1.44634i 0.0589470 + 0.998261i \(0.481226\pi\)
−0.893993 + 0.448081i \(0.852108\pi\)
\(398\) 15.0982 0.756804
\(399\) −4.37844 4.86275i −0.219196 0.243442i
\(400\) 3.97576 37.8269i 0.198788 1.89134i
\(401\) −25.8941 11.5288i −1.29309 0.575720i −0.359191 0.933264i \(-0.616947\pi\)
−0.933896 + 0.357544i \(0.883614\pi\)
\(402\) −9.27994 −0.462841
\(403\) 16.8399 10.9278i 0.838855 0.544355i
\(404\) −7.59859 −0.378044
\(405\) 0.723716 + 0.322219i 0.0359617 + 0.0160112i
\(406\) −0.851922 + 8.10550i −0.0422802 + 0.402269i
\(407\) −22.5322 25.0245i −1.11688 1.24042i
\(408\) −1.08563 −0.0537467
\(409\) −13.8322 + 23.9581i −0.683959 + 1.18465i 0.289804 + 0.957086i \(0.406410\pi\)
−0.973763 + 0.227565i \(0.926923\pi\)
\(410\) 21.6895 + 24.0887i 1.07117 + 1.18965i
\(411\) 3.48240 + 10.7177i 0.171774 + 0.528666i
\(412\) 5.29762 + 1.12604i 0.260995 + 0.0554762i
\(413\) 1.48923 + 0.663048i 0.0732802 + 0.0326265i
\(414\) −19.0384 + 4.04675i −0.935688 + 0.198887i
\(415\) −21.3032 + 15.4777i −1.04573 + 0.759770i
\(416\) −5.08608 + 6.30815i −0.249366 + 0.309282i
\(417\) 2.08073 + 6.40383i 0.101894 + 0.313597i
\(418\) 2.82658 26.8931i 0.138253 1.31539i
\(419\) 0.274498 2.61167i 0.0134101 0.127588i −0.985769 0.168107i \(-0.946234\pi\)
0.999179 + 0.0405190i \(0.0129011\pi\)
\(420\) −2.25166 0.478606i −0.109870 0.0233536i
\(421\) −25.8702 18.7958i −1.26083 0.916050i −0.262036 0.965058i \(-0.584394\pi\)
−0.998798 + 0.0490083i \(0.984394\pi\)
\(422\) 0.793748 + 7.55201i 0.0386391 + 0.367626i
\(423\) 7.08432 + 7.86793i 0.344451 + 0.382552i
\(424\) 18.7900 13.6517i 0.912523 0.662987i
\(425\) 3.23640 + 0.687917i 0.156988 + 0.0333689i
\(426\) 7.51585 8.34719i 0.364144 0.404423i
\(427\) 13.2351 2.81320i 0.640489 0.136140i
\(428\) 3.74436 0.180990
\(429\) 0.823966 16.3884i 0.0397815 0.791238i
\(430\) 8.46191 26.0431i 0.408070 1.25591i
\(431\) 0.471014 4.48139i 0.0226879 0.215861i −0.977304 0.211842i \(-0.932054\pi\)
0.999992 0.00401951i \(-0.00127945\pi\)
\(432\) 22.2047 + 9.88616i 1.06832 + 0.475648i
\(433\) 13.0108 22.5354i 0.625259 1.08298i −0.363231 0.931699i \(-0.618327\pi\)
0.988491 0.151282i \(-0.0483401\pi\)
\(434\) 10.8117 + 6.27770i 0.518977 + 0.301339i
\(435\) 7.15562 12.3939i 0.343086 0.594242i
\(436\) −0.139030 1.32279i −0.00665834 0.0633499i
\(437\) −23.2061 16.8602i −1.11010 0.806532i
\(438\) −10.4258 11.5790i −0.498165 0.553268i
\(439\) −6.85897 11.8801i −0.327361 0.567005i 0.654627 0.755952i \(-0.272826\pi\)
−0.981987 + 0.188947i \(0.939493\pi\)
\(440\) 18.8456 + 32.6416i 0.898431 + 1.55613i
\(441\) 2.75901 8.49136i 0.131381 0.404350i
\(442\) −1.59989 1.59311i −0.0760992 0.0757765i
\(443\) −8.75484 26.9446i −0.415955 1.28018i −0.911394 0.411535i \(-0.864993\pi\)
0.495439 0.868643i \(-0.335007\pi\)
\(444\) −3.21094 1.42960i −0.152385 0.0678460i
\(445\) 63.1242 13.4175i 2.99238 0.636049i
\(446\) 3.13204 + 29.7994i 0.148306 + 1.41104i
\(447\) 10.6847 + 7.76291i 0.505370 + 0.367173i
\(448\) 8.22259 + 1.74777i 0.388481 + 0.0825741i
\(449\) 31.6517 14.0922i 1.49373 0.665054i 0.512644 0.858601i \(-0.328666\pi\)
0.981091 + 0.193548i \(0.0619994\pi\)
\(450\) −18.7101 13.5937i −0.882004 0.640814i
\(451\) −23.6081 5.01805i −1.11166 0.236291i
\(452\) 0.214553 2.04134i 0.0100917 0.0960164i
\(453\) 10.0637 + 4.48064i 0.472833 + 0.210519i
\(454\) −12.2323 + 37.6472i −0.574091 + 1.76687i
\(455\) 10.3646 + 15.8861i 0.485900 + 0.744752i
\(456\) 3.45575 + 10.6357i 0.161830 + 0.498063i
\(457\) −3.38011 + 3.75399i −0.158115 + 0.175604i −0.816997 0.576642i \(-0.804363\pi\)
0.658882 + 0.752246i \(0.271030\pi\)
\(458\) −2.22661 + 0.473281i −0.104043 + 0.0221150i
\(459\) −1.05720 + 1.83112i −0.0493457 + 0.0854693i
\(460\) −10.0910 −0.470496
\(461\) 14.2241 + 15.7974i 0.662481 + 0.735760i 0.976941 0.213511i \(-0.0684899\pi\)
−0.314459 + 0.949271i \(0.601823\pi\)
\(462\) 9.33564 4.15649i 0.434333 0.193378i
\(463\) −4.00986 + 2.91334i −0.186354 + 0.135394i −0.677051 0.735936i \(-0.736742\pi\)
0.490697 + 0.871330i \(0.336742\pi\)
\(464\) 8.42741 14.5967i 0.391233 0.677635i
\(465\) −12.8599 17.7921i −0.596362 0.825089i
\(466\) 14.0988 + 24.4199i 0.653115 + 1.13123i
\(467\) −30.1300 + 21.8907i −1.39425 + 1.01298i −0.398867 + 0.917009i \(0.630597\pi\)
−0.995384 + 0.0959739i \(0.969403\pi\)
\(468\) 0.953839 + 2.46914i 0.0440912 + 0.114136i
\(469\) −2.46824 + 7.59645i −0.113973 + 0.350771i
\(470\) 16.3630 + 28.3415i 0.754769 + 1.30730i
\(471\) 1.56523 + 2.71106i 0.0721221 + 0.124919i
\(472\) −1.86421 2.07041i −0.0858072 0.0952985i
\(473\) 6.30065 + 19.3914i 0.289704 + 0.891618i
\(474\) 12.5953 + 2.67722i 0.578522 + 0.122969i
\(475\) −3.56263 33.8962i −0.163465 1.55526i
\(476\) 0.0728786 0.224297i 0.00334038 0.0102806i
\(477\) −1.78626 16.9951i −0.0817871 0.778152i
\(478\) −0.391555 + 3.72540i −0.0179093 + 0.170396i
\(479\) −16.0414 + 17.8158i −0.732951 + 0.814025i −0.988251 0.152837i \(-0.951159\pi\)
0.255300 + 0.966862i \(0.417826\pi\)
\(480\) 7.16891 + 5.20852i 0.327215 + 0.237735i
\(481\) 10.4365 + 27.0163i 0.475863 + 1.23184i
\(482\) 0.262777 + 0.808744i 0.0119692 + 0.0368373i
\(483\) 1.13309 10.7807i 0.0515575 0.490537i
\(484\) 2.42059 + 1.07772i 0.110027 + 0.0489870i
\(485\) −29.3419 32.5875i −1.33235 1.47972i
\(486\) 19.3962 14.0921i 0.879828 0.639232i
\(487\) 4.44119 + 0.944004i 0.201250 + 0.0427769i 0.307433 0.951570i \(-0.400530\pi\)
−0.106184 + 0.994347i \(0.533863\pi\)
\(488\) −22.6192 4.80787i −1.02392 0.217642i
\(489\) −3.67109 + 11.2985i −0.166012 + 0.510934i
\(490\) 13.7990 23.9005i 0.623374 1.07971i
\(491\) 8.18140 + 14.1706i 0.369221 + 0.639510i 0.989444 0.144916i \(-0.0462911\pi\)
−0.620223 + 0.784426i \(0.712958\pi\)
\(492\) −2.46417 + 0.523776i −0.111093 + 0.0236136i
\(493\) 1.18619 + 0.861816i 0.0534232 + 0.0388142i
\(494\) −10.5147 + 20.7450i −0.473077 + 0.933363i
\(495\) 27.7320 1.24646
\(496\) −15.1455 20.9544i −0.680052 0.940878i
\(497\) −4.83388 8.37253i −0.216829 0.375559i
\(498\) −1.27540 12.1346i −0.0571521 0.543766i
\(499\) −0.999827 0.726416i −0.0447584 0.0325189i 0.565181 0.824967i \(-0.308806\pi\)
−0.609940 + 0.792448i \(0.708806\pi\)
\(500\) −3.12543 3.47114i −0.139774 0.155234i
\(501\) 1.99799 3.46063i 0.0892638 0.154609i
\(502\) 36.7979 1.64237
\(503\) 26.2583 + 29.1628i 1.17080 + 1.30030i 0.945353 + 0.326048i \(0.105717\pi\)
0.225446 + 0.974256i \(0.427616\pi\)
\(504\) 4.37032 4.85373i 0.194670 0.216203i
\(505\) 45.8155 50.8833i 2.03876 2.26428i
\(506\) 36.2416 26.3311i 1.61114 1.17056i
\(507\) −5.68546 + 12.9172i −0.252500 + 0.573673i
\(508\) −3.73452 + 2.71329i −0.165693 + 0.120383i
\(509\) 1.20361 11.4516i 0.0533490 0.507582i −0.934920 0.354859i \(-0.884529\pi\)
0.988269 0.152723i \(-0.0488043\pi\)
\(510\) −1.65211 + 1.83485i −0.0731566 + 0.0812486i
\(511\) −12.2515 + 5.45471i −0.541973 + 0.241302i
\(512\) −10.1572 7.37965i −0.448890 0.326138i
\(513\) 21.3044 + 4.52838i 0.940611 + 0.199933i
\(514\) 1.36737 0.608792i 0.0603121 0.0268527i
\(515\) −39.4823 + 28.6856i −1.73980 + 1.26404i
\(516\) 1.42405 + 1.58156i 0.0626902 + 0.0696245i
\(517\) −22.2608 9.91113i −0.979027 0.435891i
\(518\) −12.0690 + 13.4039i −0.530280 + 0.588935i
\(519\) 1.59948 + 4.92269i 0.0702093 + 0.216082i
\(520\) −5.13922 32.0075i −0.225370 1.40362i
\(521\) −15.1193 −0.662387 −0.331194 0.943563i \(-0.607451\pi\)
−0.331194 + 0.943563i \(0.607451\pi\)
\(522\) −5.12422 8.87541i −0.224281 0.388466i
\(523\) −23.5972 + 5.01573i −1.03183 + 0.219323i −0.692556 0.721364i \(-0.743515\pi\)
−0.339276 + 0.940687i \(0.610182\pi\)
\(524\) 5.75639 2.56291i 0.251469 0.111961i
\(525\) 10.4203 7.57080i 0.454780 0.330417i
\(526\) −7.26487 + 12.5831i −0.316763 + 0.548650i
\(527\) 1.95056 1.11976i 0.0849677 0.0487774i
\(528\) −21.1336 −0.919721
\(529\) −2.56292 24.3846i −0.111432 1.06020i
\(530\) 5.52140 52.5326i 0.239834 2.28187i
\(531\) −2.00506 + 0.426190i −0.0870124 + 0.0184951i
\(532\) −2.42938 −0.105327
\(533\) 17.4334 + 11.2688i 0.755126 + 0.488106i
\(534\) −9.24058 + 28.4396i −0.399879 + 1.23070i
\(535\) −22.5765 + 25.0738i −0.976069 + 1.08403i
\(536\) 9.13413 10.1445i 0.394534 0.438175i
\(537\) 0.465355 + 4.42756i 0.0200816 + 0.191063i
\(538\) 10.3215 31.7663i 0.444991 1.36954i
\(539\) 2.14797 + 20.4366i 0.0925196 + 0.880265i
\(540\) 6.99980 3.11651i 0.301223 0.134113i
\(541\) 0.419762 + 1.29189i 0.0180470 + 0.0555429i 0.959674 0.281114i \(-0.0907038\pi\)
−0.941627 + 0.336657i \(0.890704\pi\)
\(542\) 31.3116 13.9408i 1.34495 0.598810i
\(543\) −0.672004 + 6.39369i −0.0288384 + 0.274379i
\(544\) −0.607470 + 0.674664i −0.0260451 + 0.0289260i
\(545\) 9.69620 + 7.04470i 0.415340 + 0.301762i
\(546\) −8.77620 + 0.478641i −0.375587 + 0.0204840i
\(547\) −9.51271 + 29.2771i −0.406734 + 1.25180i 0.512704 + 0.858565i \(0.328644\pi\)
−0.919438 + 0.393234i \(0.871356\pi\)
\(548\) 3.82221 + 1.70176i 0.163277 + 0.0726954i
\(549\) −11.3848 + 12.6441i −0.485890 + 0.539636i
\(550\) 52.0650 + 11.0668i 2.22006 + 0.471889i
\(551\) 4.66720 14.3642i 0.198830 0.611934i
\(552\) −9.26303 + 16.0440i −0.394261 + 0.682880i
\(553\) 5.54158 9.59830i 0.235652 0.408161i
\(554\) 14.2014 43.7075i 0.603361 1.85695i
\(555\) 28.9335 12.8820i 1.22816 0.546812i
\(556\) 2.28377 + 1.01680i 0.0968533 + 0.0431219i
\(557\) 14.8179 + 25.6653i 0.627854 + 1.08748i 0.987982 + 0.154572i \(0.0493999\pi\)
−0.360127 + 0.932903i \(0.617267\pi\)
\(558\) −15.6387 + 1.60474i −0.662038 + 0.0679342i
\(559\) 0.880574 17.5143i 0.0372443 0.740775i
\(560\) 19.7639 14.3593i 0.835177 0.606792i
\(561\) 0.192167 1.82835i 0.00811330 0.0771929i
\(562\) −46.7527 + 9.93760i −1.97214 + 0.419192i
\(563\) 2.11658 3.66602i 0.0892031 0.154504i −0.817971 0.575259i \(-0.804901\pi\)
0.907175 + 0.420755i \(0.138235\pi\)
\(564\) −2.54343 −0.107098
\(565\) 12.3760 + 13.7449i 0.520662 + 0.578254i
\(566\) −49.1730 10.4520i −2.06689 0.439332i
\(567\) 0.0976347 + 0.300489i 0.00410027 + 0.0126193i
\(568\) 1.72708 + 16.4321i 0.0724667 + 0.689475i
\(569\) −21.0170 + 4.46729i −0.881077 + 0.187279i −0.626170 0.779687i \(-0.715378\pi\)
−0.254907 + 0.966965i \(0.582045\pi\)
\(570\) 23.2347 + 10.3447i 0.973193 + 0.433293i
\(571\) 28.5945 + 20.7751i 1.19664 + 0.869412i 0.993950 0.109831i \(-0.0350309\pi\)
0.202692 + 0.979242i \(0.435031\pi\)
\(572\) −4.31696 4.29866i −0.180501 0.179736i
\(573\) −5.49054 3.98911i −0.229371 0.166648i
\(574\) −1.35132 + 12.8569i −0.0564030 + 0.536638i
\(575\) 37.7807 41.9597i 1.57556 1.74984i
\(576\) −9.65666 + 4.29942i −0.402361 + 0.179143i
\(577\) −20.1216 + 14.6192i −0.837672 + 0.608604i −0.921719 0.387858i \(-0.873215\pi\)
0.0840475 + 0.996462i \(0.473215\pi\)
\(578\) 17.4644 + 19.3962i 0.726422 + 0.806774i
\(579\) 1.77264 + 16.8655i 0.0736683 + 0.700908i
\(580\) −1.64190 5.05326i −0.0681764 0.209825i
\(581\) −10.2725 2.18349i −0.426175 0.0905863i
\(582\) 19.8750 4.22456i 0.823846 0.175114i
\(583\) 19.6654 + 34.0614i 0.814456 + 1.41068i
\(584\) 22.9198 0.948427
\(585\) −22.2856 8.50034i −0.921395 0.351446i
\(586\) −18.3131 13.3052i −0.756505 0.549633i
\(587\) 21.5165 + 9.57976i 0.888081 + 0.395399i 0.799497 0.600670i \(-0.205099\pi\)
0.0885834 + 0.996069i \(0.471766\pi\)
\(588\) 1.07244 + 1.85752i 0.0442268 + 0.0766030i
\(589\) −17.1790 15.5449i −0.707850 0.640516i
\(590\) −6.33621 −0.260858
\(591\) 1.75605 + 16.7077i 0.0722344 + 0.687265i
\(592\) 34.0760 15.1716i 1.40051 0.623549i
\(593\) 0.491471 1.51259i 0.0201823 0.0621147i −0.940458 0.339910i \(-0.889604\pi\)
0.960640 + 0.277795i \(0.0896035\pi\)
\(594\) −17.0075 + 29.4578i −0.697826 + 1.20867i
\(595\) 1.06257 + 1.84042i 0.0435610 + 0.0754499i
\(596\) 4.79621 1.01947i 0.196460 0.0417590i
\(597\) −3.26741 10.0561i −0.133726 0.411567i
\(598\) −37.1948 + 10.0511i −1.52101 + 0.411019i
\(599\) 2.22234 1.61462i 0.0908022 0.0659717i −0.541458 0.840728i \(-0.682127\pi\)
0.632260 + 0.774756i \(0.282127\pi\)
\(600\) −21.5318 + 4.57672i −0.879031 + 0.186844i
\(601\) −14.1109 6.28258i −0.575596 0.256272i 0.0982278 0.995164i \(-0.468683\pi\)
−0.673824 + 0.738892i \(0.735349\pi\)
\(602\) 9.97701 4.44205i 0.406633 0.181045i
\(603\) −3.10369 9.55219i −0.126392 0.388995i
\(604\) 3.73633 1.66352i 0.152029 0.0676877i
\(605\) −21.8117 + 9.71120i −0.886772 + 0.394816i
\(606\) 9.80413 + 30.1740i 0.398266 + 1.22574i
\(607\) −39.2640 + 17.4814i −1.59368 + 0.709550i −0.995758 0.0920081i \(-0.970671\pi\)
−0.597917 + 0.801558i \(0.704005\pi\)
\(608\) 8.54324 + 3.80370i 0.346474 + 0.154260i
\(609\) 5.58298 1.18670i 0.226234 0.0480874i
\(610\) −42.5478 + 30.9128i −1.72271 + 1.25162i
\(611\) 14.8509 + 14.7879i 0.600803 + 0.598256i
\(612\) 0.0916415 + 0.282044i 0.00370439 + 0.0114009i
\(613\) 6.31385 1.34205i 0.255014 0.0542049i −0.0786306 0.996904i \(-0.525055\pi\)
0.333645 + 0.942699i \(0.391721\pi\)
\(614\) 3.83797 + 6.64756i 0.154888 + 0.268274i
\(615\) 11.3503 19.6592i 0.457686 0.792736i
\(616\) −4.64523 + 14.2966i −0.187162 + 0.576025i
\(617\) 0.516869 0.230125i 0.0208084 0.00926449i −0.396306 0.918118i \(-0.629708\pi\)
0.417114 + 0.908854i \(0.363041\pi\)
\(618\) −2.36377 22.4897i −0.0950847 0.904670i
\(619\) 18.2372 0.733013 0.366507 0.930415i \(-0.380554\pi\)
0.366507 + 0.930415i \(0.380554\pi\)
\(620\) −8.10369 0.871925i −0.325452 0.0350174i
\(621\) 18.0409 + 31.2477i 0.723955 + 1.25393i
\(622\) −35.9097 15.9880i −1.43985 0.641061i
\(623\) 20.8225 + 15.1285i 0.834237 + 0.606109i
\(624\) 16.9830 + 6.47781i 0.679865 + 0.259320i
\(625\) 1.13504 0.0454016
\(626\) −21.1342 36.6055i −0.844692 1.46305i
\(627\) −18.5237 + 3.93733i −0.739765 + 0.157242i
\(628\) 1.13684 + 0.241644i 0.0453650 + 0.00964264i
\(629\) 1.00270 + 3.08600i 0.0399803 + 0.123047i
\(630\) −1.55268 14.7728i −0.0618604 0.588562i
\(631\) 13.1622 + 14.6181i 0.523979 + 0.581937i 0.945803 0.324740i \(-0.105277\pi\)
−0.421824 + 0.906678i \(0.638610\pi\)
\(632\) −15.3241 + 11.1336i −0.609558 + 0.442870i
\(633\) 4.85819 2.16301i 0.193096 0.0859718i
\(634\) −6.06199 + 6.73253i −0.240753 + 0.267383i
\(635\) 4.34791 41.3676i 0.172542 1.64162i
\(636\) 3.32124 + 2.41302i 0.131696 + 0.0956825i
\(637\) 4.53804 17.0813i 0.179804 0.676785i
\(638\) 19.0826 + 13.8643i 0.755488 + 0.548894i
\(639\) 11.1058 + 4.94461i 0.439338 + 0.195606i
\(640\) −47.9280 + 10.1874i −1.89452 + 0.402693i
\(641\) −0.301130 2.86506i −0.0118939 0.113163i 0.986964 0.160941i \(-0.0514528\pi\)
−0.998858 + 0.0477777i \(0.984786\pi\)
\(642\) −4.83118 14.8689i −0.190672 0.586827i
\(643\) −12.0144 2.55374i −0.473801 0.100710i −0.0351789 0.999381i \(-0.511200\pi\)
−0.438622 + 0.898671i \(0.644533\pi\)
\(644\) −2.69296 2.99083i −0.106117 0.117855i
\(645\) −19.1771 −0.755097
\(646\) −1.30285 + 2.25660i −0.0512600 + 0.0887848i
\(647\) 22.2846 4.73674i 0.876098 0.186220i 0.252152 0.967688i \(-0.418862\pi\)
0.623946 + 0.781467i \(0.285528\pi\)
\(648\) 0.0564428 0.537017i 0.00221728 0.0210960i
\(649\) 3.81684 2.77310i 0.149824 0.108854i
\(650\) −38.4475 24.8521i −1.50804 0.974781i
\(651\) 1.84146 8.55961i 0.0721724 0.335478i
\(652\) 2.20532 + 3.81972i 0.0863668 + 0.149592i
\(653\) −11.2391 5.00397i −0.439820 0.195821i 0.174866 0.984592i \(-0.444051\pi\)
−0.614686 + 0.788772i \(0.710717\pi\)
\(654\) −5.07340 + 2.25882i −0.198386 + 0.0883270i
\(655\) −17.5457 + 54.0002i −0.685568 + 2.10996i
\(656\) 13.3676 23.1533i 0.521916 0.903985i
\(657\) 8.43181 14.6043i 0.328956 0.569769i
\(658\) −4.03329 + 12.4132i −0.157234 + 0.483916i
\(659\) −25.6386 5.44965i −0.998738 0.212288i −0.320593 0.947217i \(-0.603882\pi\)
−0.678144 + 0.734929i \(0.737216\pi\)
\(660\) −4.45785 + 4.95094i −0.173521 + 0.192715i
\(661\) 16.9704 + 7.55571i 0.660072 + 0.293883i 0.709302 0.704904i \(-0.249010\pi\)
−0.0492303 + 0.998787i \(0.515677\pi\)
\(662\) −8.47741 + 26.0908i −0.329484 + 1.01405i
\(663\) −0.714847 + 1.41037i −0.0277623 + 0.0547741i
\(664\) 14.5205 + 10.5498i 0.563504 + 0.409410i
\(665\) 14.6479 16.2682i 0.568022 0.630852i
\(666\) 2.37075 22.5562i 0.0918647 0.874034i
\(667\) 22.8574 10.1768i 0.885043 0.394047i
\(668\) −0.458453 1.41097i −0.0177381 0.0545922i
\(669\) 19.1699 8.53497i 0.741150 0.329981i
\(670\) −3.24516 30.8757i −0.125372 1.19283i
\(671\) 12.1009 37.2428i 0.467151 1.43774i
\(672\) 0.369415 + 3.51475i 0.0142505 + 0.135584i
\(673\) −3.21906 + 3.57512i −0.124086 + 0.137811i −0.801986 0.597343i \(-0.796223\pi\)
0.677901 + 0.735154i \(0.262890\pi\)
\(674\) 19.4862 21.6416i 0.750581 0.833605i
\(675\) −13.2483 + 40.7742i −0.509929 + 1.56940i
\(676\) 2.15152 + 4.77764i 0.0827506 + 0.183755i
\(677\) −5.68984 −0.218678 −0.109339 0.994005i \(-0.534873\pi\)
−0.109339 + 0.994005i \(0.534873\pi\)
\(678\) −8.38298 + 1.78186i −0.321946 + 0.0684318i
\(679\) 1.82809 17.3931i 0.0701555 0.667485i
\(680\) −0.379641 3.61204i −0.0145586 0.138516i
\(681\) 27.7219 1.06231
\(682\) 31.3793 18.0139i 1.20158 0.689789i
\(683\) −16.1401 + 27.9556i −0.617585 + 1.06969i 0.372340 + 0.928097i \(0.378556\pi\)
−0.989925 + 0.141593i \(0.954778\pi\)
\(684\) 2.47142 1.79559i 0.0944970 0.0686561i
\(685\) −34.4416 + 15.3344i −1.31595 + 0.585897i
\(686\) 26.1409 5.55641i 0.998063 0.212145i
\(687\) 0.797089 + 1.38060i 0.0304108 + 0.0526731i
\(688\) −22.5855 −0.861063
\(689\) −5.36276 33.3997i −0.204305 1.27243i
\(690\) 13.0200 + 40.0715i 0.495663 + 1.52549i
\(691\) −30.7697 + 34.1732i −1.17053 + 1.30001i −0.225048 + 0.974348i \(0.572254\pi\)
−0.945486 + 0.325663i \(0.894413\pi\)
\(692\) 1.75555 + 0.781623i 0.0667361 + 0.0297128i
\(693\) 7.40076 + 8.21938i 0.281132 + 0.312228i
\(694\) 9.48109 6.88842i 0.359897 0.261481i
\(695\) −20.5788 + 9.16229i −0.780600 + 0.347546i
\(696\) −9.54153 2.02811i −0.361671 0.0768755i
\(697\) 1.88153 + 1.36701i 0.0712681 + 0.0517793i
\(698\) 20.5765 9.16125i 0.778832 0.346759i
\(699\) 13.2136 14.6752i 0.499783 0.555065i
\(700\) 0.499857 4.75582i 0.0188928 0.179753i
\(701\) 27.9997 20.3430i 1.05753 0.768343i 0.0839027 0.996474i \(-0.473262\pi\)
0.973630 + 0.228131i \(0.0732615\pi\)
\(702\) 22.6966 18.4593i 0.856629 0.696703i
\(703\) 27.0412 19.6466i 1.01988 0.740984i
\(704\) 16.2791 18.0798i 0.613541 0.681407i
\(705\) 15.3356 17.0319i 0.577571 0.641458i
\(706\) 2.40980 + 2.67635i 0.0906940 + 0.100726i
\(707\) 27.3078 1.02701
\(708\) 0.246222 0.426469i 0.00925359 0.0160277i
\(709\) −1.94421 2.15926i −0.0730162 0.0810927i 0.705530 0.708680i \(-0.250709\pi\)
−0.778546 + 0.627588i \(0.784042\pi\)
\(710\) 30.4006 + 22.0873i 1.14091 + 0.828922i
\(711\) 1.45677 + 13.8602i 0.0546331 + 0.519799i
\(712\) −21.9937 38.0942i −0.824248 1.42764i
\(713\) 0.0945680 38.3807i 0.00354160 1.43737i
\(714\) −0.984717 −0.0368521
\(715\) 54.8146 2.98951i 2.04995 0.111801i
\(716\) 1.33720 + 0.971531i 0.0499734 + 0.0363078i
\(717\) 2.56601 0.545423i 0.0958295 0.0203692i
\(718\) −3.91084 6.77378i −0.145951 0.252795i
\(719\) 17.0548 29.5397i 0.636035 1.10165i −0.350260 0.936653i \(-0.613907\pi\)
0.986295 0.164993i \(-0.0527600\pi\)
\(720\) −9.49270 + 29.2155i −0.353772 + 1.08880i
\(721\) −19.0385 4.04677i −0.709032 0.150709i
\(722\) −2.55506 0.543095i −0.0950895 0.0202119i
\(723\) 0.481791 0.350041i 0.0179180 0.0130182i
\(724\) 1.59711 + 1.77378i 0.0593563 + 0.0659219i
\(725\) 27.1594 + 12.0921i 1.00867 + 0.449090i
\(726\) 1.15643 11.0027i 0.0429191 0.408348i
\(727\) −13.4002 41.2417i −0.496988 1.52957i −0.813836 0.581094i \(-0.802625\pi\)
0.316849 0.948476i \(-0.397375\pi\)
\(728\) 8.11507 10.0649i 0.300765 0.373031i
\(729\) −14.1129 10.2536i −0.522700 0.379764i
\(730\) 34.8793 38.7373i 1.29094 1.43373i
\(731\) 0.205369 1.95396i 0.00759586 0.0722697i
\(732\) −0.427249 4.06500i −0.0157916 0.150247i
\(733\) −10.5663 + 32.5196i −0.390274 + 1.20114i 0.542308 + 0.840180i \(0.317551\pi\)
−0.932582 + 0.360959i \(0.882449\pi\)
\(734\) 2.89612 + 27.5548i 0.106898 + 1.01706i
\(735\) −18.9050 4.01839i −0.697322 0.148220i
\(736\) 4.78738 + 14.7340i 0.176465 + 0.543104i
\(737\) 15.4679 + 17.1788i 0.569766 + 0.632789i
\(738\) −8.12804 14.0782i −0.299197 0.518225i
\(739\) −18.7970 32.5574i −0.691459 1.19764i −0.971360 0.237614i \(-0.923635\pi\)
0.279900 0.960029i \(-0.409699\pi\)
\(740\) 3.63364 11.1832i 0.133575 0.411102i
\(741\) 16.0926 + 2.51378i 0.591176 + 0.0923458i
\(742\) 17.0434 12.3828i 0.625683 0.454586i
\(743\) −5.93151 10.2737i −0.217606 0.376905i 0.736469 0.676471i \(-0.236491\pi\)
−0.954076 + 0.299566i \(0.903158\pi\)
\(744\) −8.82507 + 12.0839i −0.323543 + 0.443019i
\(745\) −22.0919 + 38.2643i −0.809384 + 1.40189i
\(746\) −9.18337 + 6.67211i −0.336227 + 0.244283i
\(747\) 12.0641 5.37127i 0.441402 0.196525i
\(748\) −0.456713 0.507231i −0.0166991 0.0185462i
\(749\) −13.4564 −0.491688
\(750\) −9.75132 + 16.8898i −0.356068 + 0.616727i
\(751\) 19.8926 4.22829i 0.725890 0.154293i 0.169876 0.985465i \(-0.445663\pi\)
0.556014 + 0.831173i \(0.312330\pi\)
\(752\) 18.0612 20.0590i 0.658624 0.731477i
\(753\) −7.96346 24.5090i −0.290205 0.893158i
\(754\) −11.0852 16.9906i −0.403700 0.618761i
\(755\) −11.3885 + 35.0502i −0.414470 + 1.27561i
\(756\) 2.79171