Properties

Label 392.2.z.a.37.16
Level $392$
Weight $2$
Character 392.37
Analytic conductor $3.130$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 392 = 2^{3} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 392.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.13013575923\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 37.16
Character \(\chi\) \(=\) 392.37
Dual form 392.2.z.a.53.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.804026 - 1.16342i) q^{2} +(0.264186 + 0.284725i) q^{3} +(-0.707086 + 1.87084i) q^{4} +(-1.09949 + 3.56447i) q^{5} +(0.118842 - 0.536285i) q^{6} +(-1.95202 - 1.78595i) q^{7} +(2.74508 - 0.681563i) q^{8} +(0.212916 - 2.84117i) q^{9} +O(q^{10})\) \(q+(-0.804026 - 1.16342i) q^{2} +(0.264186 + 0.284725i) q^{3} +(-0.707086 + 1.87084i) q^{4} +(-1.09949 + 3.56447i) q^{5} +(0.118842 - 0.536285i) q^{6} +(-1.95202 - 1.78595i) q^{7} +(2.74508 - 0.681563i) q^{8} +(0.212916 - 2.84117i) q^{9} +(5.03100 - 1.58676i) q^{10} +(-2.33927 + 0.175304i) q^{11} +(-0.719476 + 0.292924i) q^{12} +(-0.768475 + 1.59576i) q^{13} +(-0.508331 + 3.70697i) q^{14} +(-1.30537 + 0.628631i) q^{15} +(-3.00006 - 2.64568i) q^{16} +(0.541435 + 0.0816083i) q^{17} +(-3.47666 + 2.03666i) q^{18} +(-5.36222 - 3.09588i) q^{19} +(-5.89111 - 4.57736i) q^{20} +(-0.00719281 - 1.02761i) q^{21} +(2.08479 + 2.58060i) q^{22} +(-7.14795 + 1.07738i) q^{23} +(0.919270 + 0.601533i) q^{24} +(-7.36539 - 5.02164i) q^{25} +(2.47441 - 0.388970i) q^{26} +(1.77622 - 1.41648i) q^{27} +(4.72147 - 2.38909i) q^{28} +(-1.29591 - 1.03345i) q^{29} +(1.78091 + 1.01325i) q^{30} +(1.61796 + 2.80239i) q^{31} +(-0.665915 + 5.61752i) q^{32} +(-0.667916 - 0.619736i) q^{33} +(-0.340383 - 0.695531i) q^{34} +(8.51220 - 4.99429i) q^{35} +(5.16482 + 2.40728i) q^{36} +(-3.28417 + 1.28894i) q^{37} +(0.709558 + 8.72768i) q^{38} +(-0.657372 + 0.202772i) q^{39} +(-0.588787 + 10.5341i) q^{40} +(1.27620 + 5.59139i) q^{41} +(-1.18976 + 0.834594i) q^{42} +(-7.00458 - 1.59875i) q^{43} +(1.32610 - 4.50035i) q^{44} +(9.89318 + 3.88279i) q^{45} +(7.00058 + 7.44982i) q^{46} +(7.73954 - 5.27673i) q^{47} +(-0.0392816 - 1.55314i) q^{48} +(0.620774 + 6.97242i) q^{49} +(0.0796943 + 12.6066i) q^{50} +(0.119804 + 0.175720i) q^{51} +(-2.44202 - 2.56603i) q^{52} +(6.26827 + 2.46012i) q^{53} +(-3.07609 - 0.927593i) q^{54} +(1.94715 - 8.53102i) q^{55} +(-6.57569 - 3.57215i) q^{56} +(-0.535150 - 2.34465i) q^{57} +(-0.160394 + 2.33860i) q^{58} +(0.158796 + 0.514802i) q^{59} +(-0.253060 - 2.88662i) q^{60} +(-9.67986 + 3.79906i) q^{61} +(1.95947 - 4.13556i) q^{62} +(-5.48980 + 5.16577i) q^{63} +(7.07094 - 3.74189i) q^{64} +(-4.84309 - 4.49373i) q^{65} +(-0.183990 + 1.27535i) q^{66} +(10.1453 - 5.85740i) q^{67} +(-0.535517 + 0.955233i) q^{68} +(-2.19515 - 1.75057i) q^{69} +(-12.6545 - 5.88772i) q^{70} +(1.45502 + 1.82453i) q^{71} +(-1.35197 - 7.94436i) q^{72} +(-9.48327 - 6.46558i) q^{73} +(4.14014 + 2.78453i) q^{74} +(-0.516048 - 3.42376i) q^{75} +(9.58344 - 7.84279i) q^{76} +(4.87939 + 3.83562i) q^{77} +(0.764453 + 0.601764i) q^{78} +(-2.55824 + 4.43100i) q^{79} +(12.7290 - 7.78472i) q^{80} +(-7.57938 - 1.14241i) q^{81} +(5.47904 - 5.98038i) q^{82} +(-0.163328 - 0.339155i) q^{83} +(1.92758 + 0.713153i) q^{84} +(-0.886196 + 1.84020i) q^{85} +(3.77185 + 9.43470i) q^{86} +(-0.0481112 - 0.642000i) q^{87} +(-6.30201 + 2.07559i) q^{88} +(-1.06854 + 14.2587i) q^{89} +(-3.43706 - 14.6318i) q^{90} +(4.35002 - 1.74249i) q^{91} +(3.03861 - 14.1344i) q^{92} +(-0.370467 + 1.20103i) q^{93} +(-12.3618 - 4.76170i) q^{94} +(16.9309 - 15.7096i) q^{95} +(-1.77537 + 1.29447i) q^{96} +14.9714 q^{97} +(7.61273 - 6.32822i) q^{98} +6.68359i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9} - 6 q^{10} - 47 q^{12} - 33 q^{14} - 8 q^{15} - 17 q^{16} - 26 q^{17} - 8 q^{18} - 22 q^{20} - 18 q^{22} - 26 q^{23} - 74 q^{24} - 72 q^{25} - 12 q^{26} + 2 q^{28} - 11 q^{30} + 60 q^{31} - 13 q^{32} - 14 q^{33} - 18 q^{34} + 8 q^{36} - 46 q^{38} - 32 q^{39} + 32 q^{40} - 20 q^{41} - 36 q^{42} + 38 q^{44} - 22 q^{46} - 58 q^{47} + 28 q^{48} - 16 q^{49} - 132 q^{50} + 18 q^{52} - 37 q^{54} - 32 q^{55} + 96 q^{56} - 66 q^{57} + 100 q^{60} + 28 q^{62} - 72 q^{63} - 28 q^{64} - 36 q^{65} - 4 q^{66} - 11 q^{68} - 36 q^{70} + 60 q^{71} - 130 q^{72} - 18 q^{73} - 12 q^{74} + 11 q^{76} - 132 q^{78} - 12 q^{79} - 64 q^{80} - 58 q^{81} + 152 q^{82} - 224 q^{84} + 55 q^{86} - 8 q^{87} - 169 q^{88} - 18 q^{89} + 144 q^{90} - 54 q^{92} + 154 q^{94} - 64 q^{95} - 142 q^{96} - 96 q^{97} + 151 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(297\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{16}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.804026 1.16342i −0.568532 0.822661i
\(3\) 0.264186 + 0.284725i 0.152528 + 0.164386i 0.804693 0.593691i \(-0.202330\pi\)
−0.652165 + 0.758077i \(0.726139\pi\)
\(4\) −0.707086 + 1.87084i −0.353543 + 0.935418i
\(5\) −1.09949 + 3.56447i −0.491709 + 1.59408i 0.281256 + 0.959633i \(0.409249\pi\)
−0.772965 + 0.634448i \(0.781227\pi\)
\(6\) 0.118842 0.536285i 0.0485170 0.218937i
\(7\) −1.95202 1.78595i −0.737795 0.675025i
\(8\) 2.74508 0.681563i 0.970533 0.240969i
\(9\) 0.212916 2.84117i 0.0709721 0.947057i
\(10\) 5.03100 1.58676i 1.59094 0.501776i
\(11\) −2.33927 + 0.175304i −0.705317 + 0.0528562i −0.422559 0.906335i \(-0.638868\pi\)
−0.282757 + 0.959191i \(0.591249\pi\)
\(12\) −0.719476 + 0.292924i −0.207695 + 0.0845599i
\(13\) −0.768475 + 1.59576i −0.213137 + 0.442583i −0.979938 0.199301i \(-0.936133\pi\)
0.766802 + 0.641884i \(0.221847\pi\)
\(14\) −0.508331 + 3.70697i −0.135857 + 0.990728i
\(15\) −1.30537 + 0.628631i −0.337044 + 0.162312i
\(16\) −3.00006 2.64568i −0.750015 0.661421i
\(17\) 0.541435 + 0.0816083i 0.131317 + 0.0197929i 0.214372 0.976752i \(-0.431230\pi\)
−0.0830546 + 0.996545i \(0.526468\pi\)
\(18\) −3.47666 + 2.03666i −0.819457 + 0.480046i
\(19\) −5.36222 3.09588i −1.23018 0.710244i −0.263111 0.964765i \(-0.584749\pi\)
−0.967067 + 0.254522i \(0.918082\pi\)
\(20\) −5.89111 4.57736i −1.31729 1.02353i
\(21\) −0.00719281 1.02761i −0.00156960 0.224243i
\(22\) 2.08479 + 2.58060i 0.444478 + 0.550186i
\(23\) −7.14795 + 1.07738i −1.49045 + 0.224649i −0.843188 0.537618i \(-0.819324\pi\)
−0.647262 + 0.762267i \(0.724086\pi\)
\(24\) 0.919270 + 0.601533i 0.187645 + 0.122787i
\(25\) −7.36539 5.02164i −1.47308 1.00433i
\(26\) 2.47441 0.388970i 0.485271 0.0762832i
\(27\) 1.77622 1.41648i 0.341833 0.272603i
\(28\) 4.72147 2.38909i 0.892273 0.451496i
\(29\) −1.29591 1.03345i −0.240644 0.191907i 0.495740 0.868471i \(-0.334897\pi\)
−0.736384 + 0.676564i \(0.763468\pi\)
\(30\) 1.78091 + 1.01325i 0.325148 + 0.184994i
\(31\) 1.61796 + 2.80239i 0.290594 + 0.503324i 0.973950 0.226761i \(-0.0728137\pi\)
−0.683356 + 0.730085i \(0.739480\pi\)
\(32\) −0.665915 + 5.61752i −0.117718 + 0.993047i
\(33\) −0.667916 0.619736i −0.116269 0.107882i
\(34\) −0.340383 0.695531i −0.0583753 0.119283i
\(35\) 8.51220 4.99429i 1.43883 0.844189i
\(36\) 5.16482 + 2.40728i 0.860803 + 0.401214i
\(37\) −3.28417 + 1.28894i −0.539915 + 0.211901i −0.619598 0.784919i \(-0.712704\pi\)
0.0796831 + 0.996820i \(0.474609\pi\)
\(38\) 0.709558 + 8.72768i 0.115106 + 1.41582i
\(39\) −0.657372 + 0.202772i −0.105264 + 0.0324696i
\(40\) −0.588787 + 10.5341i −0.0930954 + 1.66559i
\(41\) 1.27620 + 5.59139i 0.199309 + 0.873229i 0.971349 + 0.237656i \(0.0763790\pi\)
−0.772041 + 0.635573i \(0.780764\pi\)
\(42\) −1.18976 + 0.834594i −0.183584 + 0.128781i
\(43\) −7.00458 1.59875i −1.06819 0.243807i −0.347936 0.937518i \(-0.613117\pi\)
−0.720253 + 0.693711i \(0.755974\pi\)
\(44\) 1.32610 4.50035i 0.199917 0.678453i
\(45\) 9.89318 + 3.88279i 1.47479 + 0.578812i
\(46\) 7.00058 + 7.44982i 1.03218 + 1.09842i
\(47\) 7.73954 5.27673i 1.12893 0.769690i 0.153096 0.988211i \(-0.451076\pi\)
0.975832 + 0.218521i \(0.0701232\pi\)
\(48\) −0.0392816 1.55314i −0.00566981 0.224177i
\(49\) 0.620774 + 6.97242i 0.0886820 + 0.996060i
\(50\) 0.0796943 + 12.6066i 0.0112705 + 1.78284i
\(51\) 0.119804 + 0.175720i 0.0167759 + 0.0246057i
\(52\) −2.44202 2.56603i −0.338647 0.355844i
\(53\) 6.26827 + 2.46012i 0.861013 + 0.337923i 0.754430 0.656381i \(-0.227914\pi\)
0.106584 + 0.994304i \(0.466009\pi\)
\(54\) −3.07609 0.927593i −0.418603 0.126229i
\(55\) 1.94715 8.53102i 0.262554 1.15032i
\(56\) −6.57569 3.57215i −0.878714 0.477348i
\(57\) −0.535150 2.34465i −0.0708824 0.310556i
\(58\) −0.160394 + 2.33860i −0.0210608 + 0.307073i
\(59\) 0.158796 + 0.514802i 0.0206734 + 0.0670216i 0.965322 0.261063i \(-0.0840731\pi\)
−0.944648 + 0.328085i \(0.893597\pi\)
\(60\) −0.253060 2.88662i −0.0326699 0.372661i
\(61\) −9.67986 + 3.79906i −1.23938 + 0.486420i −0.892312 0.451420i \(-0.850918\pi\)
−0.347067 + 0.937840i \(0.612822\pi\)
\(62\) 1.95947 4.13556i 0.248853 0.525216i
\(63\) −5.48980 + 5.16577i −0.691650 + 0.650826i
\(64\) 7.07094 3.74189i 0.883868 0.467737i
\(65\) −4.84309 4.49373i −0.600712 0.557379i
\(66\) −0.183990 + 1.27535i −0.0226477 + 0.156985i
\(67\) 10.1453 5.85740i 1.23945 0.715596i 0.270467 0.962729i \(-0.412822\pi\)
0.968981 + 0.247134i \(0.0794887\pi\)
\(68\) −0.535517 + 0.955233i −0.0649410 + 0.115839i
\(69\) −2.19515 1.75057i −0.264265 0.210744i
\(70\) −12.6545 5.88772i −1.51250 0.703717i
\(71\) 1.45502 + 1.82453i 0.172679 + 0.216532i 0.860638 0.509217i \(-0.170065\pi\)
−0.687960 + 0.725749i \(0.741493\pi\)
\(72\) −1.35197 7.94436i −0.159331 0.936252i
\(73\) −9.48327 6.46558i −1.10993 0.756739i −0.137634 0.990483i \(-0.543950\pi\)
−0.972298 + 0.233744i \(0.924902\pi\)
\(74\) 4.14014 + 2.78453i 0.481282 + 0.323695i
\(75\) −0.516048 3.42376i −0.0595881 0.395341i
\(76\) 9.58344 7.84279i 1.09930 0.899630i
\(77\) 4.87939 + 3.83562i 0.556058 + 0.437110i
\(78\) 0.764453 + 0.601764i 0.0865572 + 0.0681364i
\(79\) −2.55824 + 4.43100i −0.287825 + 0.498527i −0.973290 0.229578i \(-0.926265\pi\)
0.685466 + 0.728105i \(0.259599\pi\)
\(80\) 12.7290 7.78472i 1.42315 0.870358i
\(81\) −7.57938 1.14241i −0.842154 0.126934i
\(82\) 5.47904 5.98038i 0.605058 0.660422i
\(83\) −0.163328 0.339155i −0.0179276 0.0372271i 0.891813 0.452405i \(-0.149434\pi\)
−0.909740 + 0.415178i \(0.863719\pi\)
\(84\) 1.92758 + 0.713153i 0.210316 + 0.0778114i
\(85\) −0.886196 + 1.84020i −0.0961214 + 0.199598i
\(86\) 3.77185 + 9.43470i 0.406729 + 1.01737i
\(87\) −0.0481112 0.642000i −0.00515807 0.0688296i
\(88\) −6.30201 + 2.07559i −0.671796 + 0.221258i
\(89\) −1.06854 + 14.2587i −0.113265 + 1.51142i 0.593995 + 0.804469i \(0.297550\pi\)
−0.707260 + 0.706953i \(0.750069\pi\)
\(90\) −3.43706 14.6318i −0.362298 1.54232i
\(91\) 4.35002 1.74249i 0.456006 0.182663i
\(92\) 3.03861 14.1344i 0.316797 1.47362i
\(93\) −0.370467 + 1.20103i −0.0384157 + 0.124541i
\(94\) −12.3618 4.76170i −1.27503 0.491132i
\(95\) 16.9309 15.7096i 1.73708 1.61177i
\(96\) −1.77537 + 1.29447i −0.181198 + 0.132116i
\(97\) 14.9714 1.52011 0.760057 0.649856i \(-0.225171\pi\)
0.760057 + 0.649856i \(0.225171\pi\)
\(98\) 7.61273 6.32822i 0.769001 0.639247i
\(99\) 6.68359i 0.671726i
\(100\) 14.6026 10.2287i 1.46026 1.02287i
\(101\) 9.01449 + 9.71531i 0.896976 + 0.966710i 0.999608 0.0280095i \(-0.00891687\pi\)
−0.102632 + 0.994719i \(0.532726\pi\)
\(102\) 0.108111 0.280665i 0.0107045 0.0277900i
\(103\) −2.10476 0.649232i −0.207388 0.0639708i 0.189321 0.981915i \(-0.439371\pi\)
−0.396709 + 0.917945i \(0.629848\pi\)
\(104\) −1.02192 + 4.90424i −0.100207 + 0.480901i
\(105\) 3.67080 + 1.10422i 0.358234 + 0.107760i
\(106\) −2.17771 9.27062i −0.211518 0.900442i
\(107\) −8.84953 0.663181i −0.855517 0.0641121i −0.360253 0.932855i \(-0.617310\pi\)
−0.495264 + 0.868743i \(0.664929\pi\)
\(108\) 1.39407 + 4.32459i 0.134145 + 0.416133i
\(109\) −14.0456 + 1.05258i −1.34533 + 0.100818i −0.727832 0.685755i \(-0.759472\pi\)
−0.617496 + 0.786574i \(0.711853\pi\)
\(110\) −11.4907 + 4.59381i −1.09560 + 0.438002i
\(111\) −1.23463 0.594565i −0.117186 0.0564336i
\(112\) 1.13112 + 10.5224i 0.106881 + 0.994272i
\(113\) 5.25712 2.53170i 0.494548 0.238162i −0.169949 0.985453i \(-0.554360\pi\)
0.664497 + 0.747291i \(0.268646\pi\)
\(114\) −2.29753 + 2.50776i −0.215184 + 0.234873i
\(115\) 4.01884 26.6633i 0.374759 2.48636i
\(116\) 2.84973 1.69369i 0.264591 0.157255i
\(117\) 4.37019 + 2.52313i 0.404024 + 0.233264i
\(118\) 0.471255 0.598660i 0.0433826 0.0551111i
\(119\) −0.911145 1.12628i −0.0835246 0.103246i
\(120\) −3.15488 + 2.61533i −0.288000 + 0.238746i
\(121\) −5.43568 + 0.819297i −0.494153 + 0.0744815i
\(122\) 12.2028 + 8.20718i 1.10479 + 0.743043i
\(123\) −1.25486 + 1.84053i −0.113146 + 0.165955i
\(124\) −6.38685 + 1.04541i −0.573556 + 0.0938805i
\(125\) 11.4158 9.10378i 1.02106 0.814267i
\(126\) 10.4239 + 2.23353i 0.928634 + 0.198979i
\(127\) −11.8344 + 14.8399i −1.05013 + 1.31682i −0.103458 + 0.994634i \(0.532991\pi\)
−0.946675 + 0.322191i \(0.895581\pi\)
\(128\) −10.0386 5.21789i −0.887296 0.461201i
\(129\) −1.39531 2.41675i −0.122850 0.212783i
\(130\) −1.33412 + 9.24762i −0.117010 + 0.811070i
\(131\) 0.687042 0.740455i 0.0600272 0.0646939i −0.702324 0.711857i \(-0.747854\pi\)
0.762351 + 0.647163i \(0.224045\pi\)
\(132\) 1.63170 0.811356i 0.142021 0.0706195i
\(133\) 4.93809 + 15.6199i 0.428187 + 1.35442i
\(134\) −14.9717 7.09375i −1.29336 0.612807i
\(135\) 3.09608 + 7.88869i 0.266468 + 0.678950i
\(136\) 1.54191 0.145001i 0.132217 0.0124338i
\(137\) 19.1450 5.90546i 1.63567 0.504538i 0.665385 0.746500i \(-0.268267\pi\)
0.970286 + 0.241963i \(0.0777912\pi\)
\(138\) −0.271693 + 3.96138i −0.0231280 + 0.337215i
\(139\) −2.94355 + 0.671846i −0.249669 + 0.0569852i −0.345524 0.938410i \(-0.612299\pi\)
0.0958549 + 0.995395i \(0.469442\pi\)
\(140\) 3.32464 + 19.4563i 0.280983 + 1.64436i
\(141\) 3.54710 + 0.809602i 0.298719 + 0.0681808i
\(142\) 0.952825 3.15976i 0.0799593 0.265162i
\(143\) 1.51793 3.86762i 0.126936 0.323427i
\(144\) −8.15560 + 7.96037i −0.679634 + 0.663364i
\(145\) 5.10855 3.48295i 0.424242 0.289243i
\(146\) 0.102610 + 16.2315i 0.00849206 + 1.34333i
\(147\) −1.82122 + 2.01877i −0.150212 + 0.166505i
\(148\) −0.0892090 7.05555i −0.00733293 0.579962i
\(149\) −4.35426 6.38652i −0.356715 0.523204i 0.605374 0.795941i \(-0.293024\pi\)
−0.962089 + 0.272737i \(0.912071\pi\)
\(150\) −3.56835 + 3.35317i −0.291354 + 0.273785i
\(151\) 0.482307 1.22890i 0.0392496 0.100006i −0.909905 0.414817i \(-0.863846\pi\)
0.949155 + 0.314810i \(0.101941\pi\)
\(152\) −16.8298 4.84375i −1.36508 0.392880i
\(153\) 0.347143 1.52093i 0.0280649 0.122960i
\(154\) 0.539278 8.76071i 0.0434563 0.705958i
\(155\) −11.7680 + 2.68596i −0.945227 + 0.215742i
\(156\) 0.0854644 1.37321i 0.00684263 0.109945i
\(157\) −6.62692 21.4840i −0.528886 1.71461i −0.686522 0.727109i \(-0.740864\pi\)
0.157636 0.987497i \(-0.449613\pi\)
\(158\) 7.21200 0.586335i 0.573756 0.0466463i
\(159\) 0.955534 + 2.43466i 0.0757788 + 0.193081i
\(160\) −19.2913 8.55007i −1.52511 0.675942i
\(161\) 15.8771 + 10.6628i 1.25129 + 0.840347i
\(162\) 4.76492 + 9.73652i 0.374367 + 0.764974i
\(163\) 13.5469 14.6001i 1.06107 1.14357i 0.0718117 0.997418i \(-0.477122\pi\)
0.989263 0.146148i \(-0.0466876\pi\)
\(164\) −11.3630 1.56604i −0.887299 0.122287i
\(165\) 2.94340 1.69937i 0.229144 0.132296i
\(166\) −0.263259 + 0.462708i −0.0204328 + 0.0359131i
\(167\) 1.69054 2.11987i 0.130818 0.164041i −0.712108 0.702070i \(-0.752259\pi\)
0.842926 + 0.538029i \(0.180831\pi\)
\(168\) −0.720127 2.81598i −0.0555590 0.217257i
\(169\) 6.14949 + 7.71121i 0.473037 + 0.593170i
\(170\) 2.85345 0.448555i 0.218850 0.0344026i
\(171\) −9.93763 + 14.5758i −0.759950 + 1.11464i
\(172\) 7.94384 11.9740i 0.605712 0.913007i
\(173\) 2.12465 + 14.0961i 0.161534 + 1.07171i 0.911819 + 0.410593i \(0.134678\pi\)
−0.750285 + 0.661115i \(0.770084\pi\)
\(174\) −0.708232 + 0.572158i −0.0536909 + 0.0433752i
\(175\) 5.40901 + 22.9566i 0.408883 + 1.73535i
\(176\) 7.48175 + 5.66305i 0.563958 + 0.426869i
\(177\) −0.104626 + 0.181217i −0.00786413 + 0.0136211i
\(178\) 17.4480 10.2212i 1.30778 0.766112i
\(179\) −2.02191 + 13.4145i −0.151124 + 1.00265i 0.776765 + 0.629790i \(0.216859\pi\)
−0.927890 + 0.372855i \(0.878379\pi\)
\(180\) −14.2594 + 15.7631i −1.06283 + 1.17491i
\(181\) −6.27999 13.0405i −0.466788 0.969295i −0.992908 0.118885i \(-0.962068\pi\)
0.526120 0.850410i \(-0.323646\pi\)
\(182\) −5.52477 3.65988i −0.409523 0.271289i
\(183\) −3.63897 1.75244i −0.269000 0.129544i
\(184\) −18.8874 + 7.82928i −1.39240 + 0.577182i
\(185\) −0.983473 13.1235i −0.0723064 0.964862i
\(186\) 1.69516 0.534646i 0.124295 0.0392022i
\(187\) −1.28087 0.0959880i −0.0936665 0.00701934i
\(188\) 4.39938 + 18.2105i 0.320858 + 1.32814i
\(189\) −5.99698 0.407222i −0.436216 0.0296210i
\(190\) −31.8897 7.06683i −2.31352 0.512682i
\(191\) −10.8855 3.35772i −0.787644 0.242956i −0.125264 0.992123i \(-0.539978\pi\)
−0.662381 + 0.749167i \(0.730454\pi\)
\(192\) 2.93346 + 1.02472i 0.211704 + 0.0739526i
\(193\) −10.1990 + 9.46325i −0.734137 + 0.681180i −0.955824 0.293938i \(-0.905034\pi\)
0.221687 + 0.975118i \(0.428844\pi\)
\(194\) −12.0374 17.4180i −0.864233 1.25054i
\(195\) 2.56613i 0.183765i
\(196\) −13.4832 3.76873i −0.963086 0.269195i
\(197\) 12.9873i 0.925304i 0.886540 + 0.462652i \(0.153102\pi\)
−0.886540 + 0.462652i \(0.846898\pi\)
\(198\) 7.77582 5.37378i 0.552603 0.381898i
\(199\) −4.92258 + 4.56749i −0.348953 + 0.323781i −0.835102 0.550095i \(-0.814592\pi\)
0.486150 + 0.873876i \(0.338401\pi\)
\(200\) −23.6412 8.76483i −1.67168 0.619767i
\(201\) 4.34800 + 1.34118i 0.306684 + 0.0945996i
\(202\) 4.05509 18.2990i 0.285315 1.28751i
\(203\) 0.683946 + 4.33174i 0.0480036 + 0.304028i
\(204\) −0.413455 + 0.0998843i −0.0289476 + 0.00699330i
\(205\) −21.3336 1.59873i −1.49000 0.111660i
\(206\) 0.936951 + 2.97072i 0.0652805 + 0.206980i
\(207\) 1.53911 + 20.5379i 0.106975 + 1.42749i
\(208\) 6.52734 2.75422i 0.452589 0.190971i
\(209\) 13.0864 + 6.30209i 0.905206 + 0.435924i
\(210\) −1.66676 5.15850i −0.115017 0.355970i
\(211\) 4.67575 + 9.70930i 0.321892 + 0.668416i 0.997636 0.0687206i \(-0.0218917\pi\)
−0.675744 + 0.737137i \(0.736177\pi\)
\(212\) −9.03468 + 9.98740i −0.620505 + 0.685937i
\(213\) −0.135095 + 0.896296i −0.00925655 + 0.0614132i
\(214\) 6.34369 + 10.8289i 0.433646 + 0.740250i
\(215\) 13.4002 23.2098i 0.913886 1.58290i
\(216\) 3.91043 5.09897i 0.266071 0.346941i
\(217\) 1.84663 8.35991i 0.125357 0.567508i
\(218\) 12.5176 + 15.4947i 0.847802 + 1.04943i
\(219\) −0.664435 4.40824i −0.0448984 0.297881i
\(220\) 14.5833 + 9.67496i 0.983208 + 0.652286i
\(221\) −0.546307 + 0.801285i −0.0367486 + 0.0539002i
\(222\) 0.300944 + 1.91443i 0.0201980 + 0.128488i
\(223\) 7.03446 + 8.82094i 0.471062 + 0.590694i 0.959431 0.281944i \(-0.0909792\pi\)
−0.488368 + 0.872638i \(0.662408\pi\)
\(224\) 11.3325 9.77623i 0.757184 0.653202i
\(225\) −15.8355 + 19.8571i −1.05570 + 1.32381i
\(226\) −7.17228 4.08068i −0.477093 0.271443i
\(227\) −13.3226 + 7.69182i −0.884254 + 0.510524i −0.872059 0.489402i \(-0.837215\pi\)
−0.0121950 + 0.999926i \(0.503882\pi\)
\(228\) 4.76485 + 0.656688i 0.315560 + 0.0434902i
\(229\) 9.79025 10.5514i 0.646958 0.697255i −0.321365 0.946955i \(-0.604142\pi\)
0.968323 + 0.249700i \(0.0803321\pi\)
\(230\) −34.2518 + 16.7623i −2.25850 + 1.10528i
\(231\) 0.196971 + 2.40260i 0.0129597 + 0.158080i
\(232\) −4.26173 1.95366i −0.279796 0.128264i
\(233\) 3.57351 + 9.10517i 0.234109 + 0.596499i 0.998855 0.0478318i \(-0.0152312\pi\)
−0.764747 + 0.644331i \(0.777136\pi\)
\(234\) −0.578288 7.11303i −0.0378038 0.464993i
\(235\) 10.2992 + 33.3891i 0.671845 + 2.17807i
\(236\) −1.07539 0.0669291i −0.0700021 0.00435671i
\(237\) −1.93747 + 0.442215i −0.125852 + 0.0287249i
\(238\) −0.577748 + 1.96560i −0.0374498 + 0.127411i
\(239\) −0.317001 + 1.38887i −0.0205051 + 0.0898388i −0.984145 0.177365i \(-0.943243\pi\)
0.963640 + 0.267204i \(0.0860998\pi\)
\(240\) 5.57933 + 1.56766i 0.360144 + 0.101192i
\(241\) 3.43397 8.74961i 0.221201 0.563612i −0.776592 0.630004i \(-0.783053\pi\)
0.997794 + 0.0663915i \(0.0211486\pi\)
\(242\) 5.32361 + 5.66524i 0.342215 + 0.364175i
\(243\) −5.51646 8.09116i −0.353881 0.519048i
\(244\) −0.262937 20.7957i −0.0168328 1.33131i
\(245\) −25.5355 5.45340i −1.63141 0.348405i
\(246\) 3.15025 0.0199148i 0.200852 0.00126972i
\(247\) 9.06100 6.17769i 0.576538 0.393077i
\(248\) 6.35143 + 6.59004i 0.403317 + 0.418468i
\(249\) 0.0534167 0.136104i 0.00338515 0.00862521i
\(250\) −19.7701 5.96166i −1.25037 0.377049i
\(251\) −0.700342 0.159849i −0.0442052 0.0100895i 0.200361 0.979722i \(-0.435788\pi\)
−0.244566 + 0.969633i \(0.578646\pi\)
\(252\) −5.78255 13.9232i −0.364266 0.877077i
\(253\) 16.5321 3.77335i 1.03937 0.237228i
\(254\) 26.7801 + 1.83673i 1.68033 + 0.115247i
\(255\) −0.758073 + 0.233834i −0.0474724 + 0.0146433i
\(256\) 2.00071 + 15.8744i 0.125044 + 0.992151i
\(257\) −4.94962 12.6114i −0.308749 0.786679i −0.998063 0.0622160i \(-0.980183\pi\)
0.689314 0.724463i \(-0.257912\pi\)
\(258\) −1.68982 + 3.56646i −0.105204 + 0.222038i
\(259\) 8.71277 + 3.34932i 0.541385 + 0.208117i
\(260\) 11.8315 5.88318i 0.733760 0.364859i
\(261\) −3.21213 + 3.46185i −0.198826 + 0.214283i
\(262\) −1.41386 0.203973i −0.0873485 0.0126015i
\(263\) −14.8644 25.7460i −0.916580 1.58756i −0.804571 0.593856i \(-0.797605\pi\)
−0.112009 0.993707i \(-0.535729\pi\)
\(264\) −2.25587 1.24600i −0.138839 0.0766859i
\(265\) −15.6609 + 19.6382i −0.962044 + 1.20637i
\(266\) 14.2021 18.3038i 0.870787 1.12228i
\(267\) −4.34211 + 3.46272i −0.265733 + 0.211915i
\(268\) 3.78463 + 23.1219i 0.231183 + 1.41240i
\(269\) −8.07919 + 11.8500i −0.492597 + 0.722507i −0.989377 0.145369i \(-0.953563\pi\)
0.496781 + 0.867876i \(0.334515\pi\)
\(270\) 6.68852 9.94475i 0.407050 0.605218i
\(271\) 19.4490 2.93147i 1.18144 0.178074i 0.471198 0.882028i \(-0.343822\pi\)
0.710246 + 0.703954i \(0.248584\pi\)
\(272\) −1.40843 1.67730i −0.0853985 0.101701i
\(273\) 1.64534 + 0.778216i 0.0995808 + 0.0470998i
\(274\) −22.2636 17.5255i −1.34499 1.05876i
\(275\) 18.1100 + 10.4558i 1.09207 + 0.630508i
\(276\) 4.82719 2.86896i 0.290563 0.172691i
\(277\) 2.85203 18.9220i 0.171362 1.13691i −0.723420 0.690409i \(-0.757431\pi\)
0.894782 0.446504i \(-0.147331\pi\)
\(278\) 3.14833 + 2.88440i 0.188824 + 0.172995i
\(279\) 8.30655 4.00022i 0.497300 0.239487i
\(280\) 19.9628 19.5113i 1.19300 1.16603i
\(281\) −10.4674 5.04082i −0.624431 0.300710i 0.0947839 0.995498i \(-0.469784\pi\)
−0.719215 + 0.694788i \(0.755498\pi\)
\(282\) −1.91005 4.77770i −0.113742 0.284508i
\(283\) 1.56935 0.117606i 0.0932880 0.00699097i −0.0280043 0.999608i \(-0.508915\pi\)
0.121292 + 0.992617i \(0.461296\pi\)
\(284\) −4.44223 + 1.43200i −0.263598 + 0.0849734i
\(285\) 8.94583 + 0.670397i 0.529905 + 0.0397109i
\(286\) −5.72012 + 1.34368i −0.338238 + 0.0794534i
\(287\) 7.49478 13.1937i 0.442403 0.778802i
\(288\) 15.8186 + 3.08804i 0.932117 + 0.181964i
\(289\) −15.9582 4.92247i −0.938720 0.289557i
\(290\) −8.15953 3.14300i −0.479144 0.184563i
\(291\) 3.95523 + 4.26273i 0.231860 + 0.249886i
\(292\) 18.8015 13.1699i 1.10028 0.770711i
\(293\) 22.3442i 1.30536i −0.757634 0.652680i \(-0.773645\pi\)
0.757634 0.652680i \(-0.226355\pi\)
\(294\) 3.81298 + 0.495704i 0.222377 + 0.0289100i
\(295\) −2.00959 −0.117003
\(296\) −8.13683 + 5.77663i −0.472944 + 0.335760i
\(297\) −3.90673 + 3.62492i −0.226692 + 0.210339i
\(298\) −3.92927 + 10.2008i −0.227616 + 0.590914i
\(299\) 3.77379 12.2343i 0.218244 0.707529i
\(300\) 6.77018 + 1.45545i 0.390877 + 0.0840304i
\(301\) 10.8178 + 15.6306i 0.623528 + 0.900934i
\(302\) −1.81751 + 0.426940i −0.104586 + 0.0245677i
\(303\) −0.384688 + 5.13330i −0.0220997 + 0.294900i
\(304\) 7.89626 + 23.4746i 0.452882 + 1.34636i
\(305\) −2.89871 38.6806i −0.165980 2.21485i
\(306\) −2.04860 + 0.818997i −0.117110 + 0.0468190i
\(307\) −12.1558 + 25.2417i −0.693766 + 1.44062i 0.194319 + 0.980938i \(0.437750\pi\)
−0.888084 + 0.459681i \(0.847964\pi\)
\(308\) −10.6260 + 6.41643i −0.605471 + 0.365610i
\(309\) −0.371196 0.770796i −0.0211166 0.0438490i
\(310\) 12.5867 + 11.5315i 0.714874 + 0.654945i
\(311\) −5.09622 0.768131i −0.288980 0.0435567i 0.00295260 0.999996i \(-0.499060\pi\)
−0.291932 + 0.956439i \(0.594298\pi\)
\(312\) −1.66634 + 1.00467i −0.0943377 + 0.0568781i
\(313\) 12.8623 22.2782i 0.727022 1.25924i −0.231115 0.972926i \(-0.574237\pi\)
0.958136 0.286312i \(-0.0924294\pi\)
\(314\) −19.6666 + 24.9835i −1.10985 + 1.40990i
\(315\) −12.3772 25.2480i −0.697378 1.42256i
\(316\) −6.48079 7.91915i −0.364573 0.445487i
\(317\) −4.09405 27.1622i −0.229945 1.52558i −0.744207 0.667949i \(-0.767172\pi\)
0.514262 0.857633i \(-0.328066\pi\)
\(318\) 2.06426 3.06922i 0.115758 0.172113i
\(319\) 3.21264 + 2.19034i 0.179873 + 0.122636i
\(320\) 5.56342 + 29.3184i 0.311005 + 1.63895i
\(321\) −2.14910 2.69489i −0.119951 0.150414i
\(322\) −0.360286 27.0449i −0.0200779 1.50715i
\(323\) −2.65065 2.11382i −0.147486 0.117616i
\(324\) 7.49654 13.3720i 0.416474 0.742889i
\(325\) 13.6734 7.89436i 0.758465 0.437900i
\(326\) −27.8780 4.02187i −1.54402 0.222751i
\(327\) −4.01036 3.72107i −0.221773 0.205776i
\(328\) 7.31416 + 14.4790i 0.403857 + 0.799470i
\(329\) −24.5317 3.52214i −1.35248 0.194182i
\(330\) −4.34365 2.05807i −0.239110 0.113293i
\(331\) 26.9773 10.5878i 1.48281 0.581958i 0.520484 0.853872i \(-0.325752\pi\)
0.962322 + 0.271913i \(0.0876564\pi\)
\(332\) 0.749990 0.0657490i 0.0411610 0.00360845i
\(333\) 2.96285 + 9.60534i 0.162363 + 0.526369i
\(334\) −3.82554 0.262377i −0.209324 0.0143566i
\(335\) 9.72384 + 42.6029i 0.531270 + 2.32765i
\(336\) −2.69716 + 3.10193i −0.147142 + 0.169224i
\(337\) −4.05653 + 17.7728i −0.220973 + 0.968147i 0.735774 + 0.677227i \(0.236818\pi\)
−0.956747 + 0.290920i \(0.906039\pi\)
\(338\) 4.02702 13.3544i 0.219041 0.726386i
\(339\) 2.10969 + 0.827994i 0.114583 + 0.0449705i
\(340\) −2.81611 2.95911i −0.152725 0.160480i
\(341\) −4.27612 6.27191i −0.231565 0.339643i
\(342\) 24.9479 0.157712i 1.34903 0.00852808i
\(343\) 11.2406 14.7190i 0.606936 0.794750i
\(344\) −20.3178 + 0.385367i −1.09546 + 0.0207776i
\(345\) 8.65341 5.89980i 0.465884 0.317634i
\(346\) 14.6914 13.8055i 0.789815 0.742188i
\(347\) 11.2190 + 4.40315i 0.602269 + 0.236373i 0.646831 0.762633i \(-0.276094\pi\)
−0.0445617 + 0.999007i \(0.514189\pi\)
\(348\) 1.23510 + 0.363941i 0.0662081 + 0.0195093i
\(349\) 5.82765 + 1.33012i 0.311947 + 0.0711999i 0.375628 0.926770i \(-0.377427\pi\)
−0.0636812 + 0.997970i \(0.520284\pi\)
\(350\) 22.3591 24.7506i 1.19514 1.32298i
\(351\) 0.895385 + 3.92294i 0.0477921 + 0.209391i
\(352\) 0.572980 13.2576i 0.0305400 0.706635i
\(353\) −16.8903 + 5.20995i −0.898977 + 0.277298i −0.709598 0.704606i \(-0.751124\pi\)
−0.189379 + 0.981904i \(0.560647\pi\)
\(354\) 0.294952 0.0239796i 0.0156765 0.00127450i
\(355\) −8.10328 + 3.18030i −0.430078 + 0.168793i
\(356\) −25.9202 12.0812i −1.37377 0.640303i
\(357\) 0.0799672 0.556973i 0.00423231 0.0294781i
\(358\) 17.2323 8.43326i 0.910757 0.445712i
\(359\) −19.6518 18.2342i −1.03718 0.962366i −0.0378659 0.999283i \(-0.512056\pi\)
−0.999318 + 0.0369165i \(0.988246\pi\)
\(360\) 29.8039 + 3.91574i 1.57081 + 0.206377i
\(361\) 9.66896 + 16.7471i 0.508892 + 0.881428i
\(362\) −10.1223 + 17.7912i −0.532018 + 0.935083i
\(363\) −1.66931 1.33123i −0.0876158 0.0698713i
\(364\) 0.184080 + 9.37026i 0.00964839 + 0.491135i
\(365\) 33.4732 26.6940i 1.75207 1.39723i
\(366\) 0.887009 + 5.64265i 0.0463647 + 0.294946i
\(367\) −28.0255 19.1075i −1.46292 0.997401i −0.993427 0.114465i \(-0.963485\pi\)
−0.469492 0.882937i \(-0.655563\pi\)
\(368\) 24.2947 + 15.6790i 1.26645 + 0.817325i
\(369\) 16.1578 2.43540i 0.841143 0.126782i
\(370\) −14.4774 + 11.6959i −0.752646 + 0.608038i
\(371\) −7.84216 15.9970i −0.407145 0.830523i
\(372\) −1.98497 1.54231i −0.102916 0.0799651i
\(373\) 10.2289 + 5.90566i 0.529632 + 0.305783i 0.740867 0.671652i \(-0.234415\pi\)
−0.211234 + 0.977435i \(0.567748\pi\)
\(374\) 0.918179 + 1.56737i 0.0474779 + 0.0810465i
\(375\) 5.60797 + 0.845265i 0.289594 + 0.0436493i
\(376\) 17.6492 19.7600i 0.910191 1.01905i
\(377\) 2.64501 1.27377i 0.136225 0.0656024i
\(378\) 4.34796 + 7.30442i 0.223635 + 0.375699i
\(379\) −4.17240 + 8.66408i −0.214322 + 0.445044i −0.980218 0.197920i \(-0.936581\pi\)
0.765896 + 0.642964i \(0.222296\pi\)
\(380\) 17.4185 + 42.7830i 0.893549 + 2.19472i
\(381\) −7.35176 + 0.550938i −0.376642 + 0.0282254i
\(382\) 4.84575 + 15.3640i 0.247930 + 0.786093i
\(383\) −0.933840 + 12.4612i −0.0477170 + 0.636739i 0.921158 + 0.389189i \(0.127245\pi\)
−0.968875 + 0.247550i \(0.920374\pi\)
\(384\) −1.16640 4.23674i −0.0595225 0.216205i
\(385\) −19.0368 + 13.1752i −0.970207 + 0.671471i
\(386\) 19.2099 + 4.25696i 0.977761 + 0.216674i
\(387\) −6.03371 + 19.5608i −0.306711 + 0.994332i
\(388\) −10.5861 + 28.0090i −0.537426 + 1.42194i
\(389\) −17.9374 19.3319i −0.909463 0.980168i 0.0904134 0.995904i \(-0.471181\pi\)
−0.999876 + 0.0157366i \(0.994991\pi\)
\(390\) −2.98549 + 2.06324i −0.151176 + 0.104476i
\(391\) −3.95808 −0.200169
\(392\) 6.45622 + 18.7168i 0.326088 + 0.945339i
\(393\) 0.392333 0.0197906
\(394\) 15.1096 10.4421i 0.761212 0.526065i
\(395\) −12.9814 13.9907i −0.653166 0.703946i
\(396\) −12.5039 4.72588i −0.628345 0.237484i
\(397\) −5.29253 + 17.1580i −0.265625 + 0.861134i 0.720260 + 0.693705i \(0.244023\pi\)
−0.985884 + 0.167429i \(0.946453\pi\)
\(398\) 9.27178 + 2.05465i 0.464752 + 0.102990i
\(399\) −3.14279 + 5.53255i −0.157337 + 0.276974i
\(400\) 8.81094 + 34.5517i 0.440547 + 1.72759i
\(401\) −2.29081 + 30.5687i −0.114398 + 1.52653i 0.584550 + 0.811358i \(0.301271\pi\)
−0.698948 + 0.715173i \(0.746348\pi\)
\(402\) −1.93555 6.13689i −0.0965364 0.306080i
\(403\) −5.71529 + 0.428302i −0.284699 + 0.0213352i
\(404\) −24.5498 + 9.99508i −1.22140 + 0.497274i
\(405\) 12.4056 25.7604i 0.616438 1.28005i
\(406\) 4.48971 4.27854i 0.222821 0.212341i
\(407\) 7.45662 3.59092i 0.369611 0.177995i
\(408\) 0.448635 + 0.400712i 0.0222108 + 0.0198382i
\(409\) 13.8461 + 2.08696i 0.684644 + 0.103194i 0.482148 0.876090i \(-0.339857\pi\)
0.202496 + 0.979283i \(0.435095\pi\)
\(410\) 15.2927 + 26.1053i 0.755254 + 1.28925i
\(411\) 6.73928 + 3.89093i 0.332424 + 0.191925i
\(412\) 2.70285 3.47860i 0.133160 0.171378i
\(413\) 0.609439 1.28851i 0.0299885 0.0634032i
\(414\) 22.6567 18.3036i 1.11352 0.899575i
\(415\) 1.38849 0.209281i 0.0681581 0.0102732i
\(416\) −8.45245 5.37956i −0.414416 0.263755i
\(417\) −0.968936 0.660609i −0.0474490 0.0323502i
\(418\) −3.18985 20.2920i −0.156021 0.992515i
\(419\) −17.9536 + 14.3175i −0.877091 + 0.699457i −0.954714 0.297526i \(-0.903838\pi\)
0.0776227 + 0.996983i \(0.475267\pi\)
\(420\) −4.66138 + 6.08670i −0.227452 + 0.297001i
\(421\) −6.55935 5.23091i −0.319683 0.254939i 0.450479 0.892787i \(-0.351253\pi\)
−0.770162 + 0.637848i \(0.779825\pi\)
\(422\) 7.53656 13.2464i 0.366874 0.644824i
\(423\) −13.3442 23.1129i −0.648818 1.12379i
\(424\) 18.8836 + 2.48099i 0.917071 + 0.120488i
\(425\) −3.57808 3.31997i −0.173562 0.161042i
\(426\) 1.15139 0.563473i 0.0557849 0.0273003i
\(427\) 25.6802 + 9.87187i 1.24275 + 0.477733i
\(428\) 7.49808 16.0871i 0.362434 0.777600i
\(429\) 1.50222 0.589580i 0.0725281 0.0284652i
\(430\) −37.7769 + 3.07125i −1.82176 + 0.148109i
\(431\) −34.2061 + 10.5512i −1.64765 + 0.508233i −0.973176 0.230063i \(-0.926107\pi\)
−0.674476 + 0.738297i \(0.735630\pi\)
\(432\) −9.07632 0.449769i −0.436685 0.0216395i
\(433\) −5.94798 26.0598i −0.285842 1.25235i −0.890173 0.455622i \(-0.849417\pi\)
0.604332 0.796733i \(-0.293440\pi\)
\(434\) −11.2108 + 4.57318i −0.538136 + 0.219520i
\(435\) 2.34129 + 0.534384i 0.112256 + 0.0256218i
\(436\) 7.96228 27.0214i 0.381324 1.29409i
\(437\) 41.6643 + 16.3520i 1.99308 + 0.782225i
\(438\) −4.59440 + 4.31735i −0.219529 + 0.206291i
\(439\) −21.1144 + 14.3956i −1.00774 + 0.687063i −0.950316 0.311288i \(-0.899240\pi\)
−0.0574199 + 0.998350i \(0.518287\pi\)
\(440\) −0.469346 24.7454i −0.0223752 1.17969i
\(441\) 19.9420 0.279183i 0.949619 0.0132944i
\(442\) 1.37147 0.00866998i 0.0652344 0.000412389i
\(443\) 14.5262 + 21.3060i 0.690161 + 1.01228i 0.998145 + 0.0608886i \(0.0193935\pi\)
−0.307984 + 0.951392i \(0.599654\pi\)
\(444\) 1.98532 1.88938i 0.0942192 0.0896659i
\(445\) −49.6500 19.4862i −2.35364 0.923734i
\(446\) 4.60656 15.2763i 0.218127 0.723353i
\(447\) 0.668068 2.92700i 0.0315985 0.138442i
\(448\) −20.4855 5.32409i −0.967847 0.251539i
\(449\) −6.30042 27.6039i −0.297335 1.30271i −0.874078 0.485785i \(-0.838534\pi\)
0.576743 0.816925i \(-0.304323\pi\)
\(450\) 35.8344 + 2.45772i 1.68925 + 0.115858i
\(451\) −3.96557 12.8561i −0.186731 0.605368i
\(452\) 1.01915 + 11.6253i 0.0479369 + 0.546810i
\(453\) 0.477316 0.187333i 0.0224263 0.00880167i
\(454\) 19.6605 + 9.31537i 0.922715 + 0.437192i
\(455\) 1.42824 + 17.4214i 0.0669571 + 0.816727i
\(456\) −3.06706 6.07151i −0.143628 0.284324i
\(457\) 0.168471 + 0.156318i 0.00788073 + 0.00731225i 0.684103 0.729385i \(-0.260194\pi\)
−0.676223 + 0.736697i \(0.736384\pi\)
\(458\) −20.1473 2.90658i −0.941421 0.135816i
\(459\) 1.07730 0.621981i 0.0502842 0.0290316i
\(460\) 47.0409 + 26.3718i 2.19329 + 1.22959i
\(461\) 8.59502 + 6.85430i 0.400310 + 0.319237i 0.802867 0.596158i \(-0.203307\pi\)
−0.402557 + 0.915395i \(0.631878\pi\)
\(462\) 2.63686 2.16091i 0.122678 0.100535i
\(463\) −16.4491 20.6265i −0.764455 0.958596i 0.235457 0.971885i \(-0.424341\pi\)
−0.999912 + 0.0132889i \(0.995770\pi\)
\(464\) 1.15361 + 6.52897i 0.0535550 + 0.303100i
\(465\) −3.87370 2.64104i −0.179638 0.122475i
\(466\) 7.71992 11.4783i 0.357619 0.531721i
\(467\) 2.26229 + 15.0093i 0.104686 + 0.694548i 0.978187 + 0.207725i \(0.0666060\pi\)
−0.873501 + 0.486822i \(0.838156\pi\)
\(468\) −7.81047 + 6.39185i −0.361039 + 0.295463i
\(469\) −30.2649 6.68525i −1.39750 0.308696i
\(470\) 30.5647 38.8280i 1.40985 1.79100i
\(471\) 4.36628 7.56261i 0.201187 0.348467i
\(472\) 0.786777 + 1.30495i 0.0362144 + 0.0600650i
\(473\) 16.6659 + 2.51198i 0.766298 + 0.115501i
\(474\) 2.07226 + 1.89854i 0.0951818 + 0.0872026i
\(475\) 23.9485 + 49.7295i 1.09883 + 2.28175i
\(476\) 2.75134 0.908229i 0.126107 0.0416286i
\(477\) 8.32423 17.2854i 0.381140 0.791446i
\(478\) 1.87072 0.747885i 0.0855647 0.0342074i
\(479\) 0.686463 + 9.16021i 0.0313653 + 0.418541i 0.990681 + 0.136204i \(0.0434904\pi\)
−0.959315 + 0.282336i \(0.908891\pi\)
\(480\) −2.66209 7.75154i −0.121507 0.353808i
\(481\) 0.466968 6.23126i 0.0212919 0.284121i
\(482\) −12.9405 + 3.03977i −0.589422 + 0.138458i
\(483\) 1.15854 + 7.33757i 0.0527155 + 0.333871i
\(484\) 2.31072 10.7486i 0.105033 0.488572i
\(485\) −16.4610 + 53.3651i −0.747454 + 2.42319i
\(486\) −4.97803 + 12.9234i −0.225808 + 0.586219i
\(487\) 4.75699 4.41384i 0.215560 0.200010i −0.565001 0.825090i \(-0.691124\pi\)
0.780561 + 0.625080i \(0.214934\pi\)
\(488\) −23.9827 + 17.0262i −1.08565 + 0.770739i
\(489\) 7.73591 0.349830
\(490\) 14.1866 + 34.0932i 0.640887 + 1.54017i
\(491\) 12.2141i 0.551216i −0.961270 0.275608i \(-0.911121\pi\)
0.961270 0.275608i \(-0.0888791\pi\)
\(492\) −2.55605 3.64904i −0.115236 0.164512i
\(493\) −0.617311 0.665303i −0.0278023 0.0299638i
\(494\) −14.4725 5.57472i −0.651149 0.250819i
\(495\) −23.8235 7.34858i −1.07079 0.330294i
\(496\) 2.56026 12.6879i 0.114959 0.569705i
\(497\) 0.418299 6.16011i 0.0187633 0.276319i
\(498\) −0.201294 + 0.0472847i −0.00902019 + 0.00211888i
\(499\) −17.6325 1.32137i −0.789338 0.0591527i −0.326041 0.945356i \(-0.605715\pi\)
−0.463297 + 0.886203i \(0.653334\pi\)
\(500\) 8.95975 + 27.7942i 0.400692 + 1.24300i
\(501\) 1.05020 0.0787016i 0.0469194 0.00351613i
\(502\) 0.377122 + 0.943313i 0.0168318 + 0.0421021i
\(503\) −15.3703 7.40194i −0.685327 0.330036i 0.0586147 0.998281i \(-0.481332\pi\)
−0.743942 + 0.668245i \(0.767046\pi\)
\(504\) −11.5492 + 17.9221i −0.514440 + 0.798314i
\(505\) −44.5414 + 21.4500i −1.98206 + 0.954512i
\(506\) −17.6822 16.1999i −0.786071 0.720174i
\(507\) −0.570965 + 3.78811i −0.0253575 + 0.168236i
\(508\) −19.3950 32.6333i −0.860515 1.44787i
\(509\) 1.23702 + 0.714196i 0.0548301 + 0.0316562i 0.527164 0.849763i \(-0.323255\pi\)
−0.472334 + 0.881419i \(0.656589\pi\)
\(510\) 0.881557 + 0.693947i 0.0390360 + 0.0307285i
\(511\) 6.96434 + 29.5576i 0.308084 + 1.30755i
\(512\) 16.8600 15.0911i 0.745113 0.666939i
\(513\) −13.9097 + 2.09655i −0.614130 + 0.0925652i
\(514\) −10.6927 + 15.8984i −0.471637 + 0.701247i
\(515\) 4.62834 6.78853i 0.203949 0.299139i
\(516\) 5.50794 0.901548i 0.242474 0.0396884i
\(517\) −17.1799 + 13.7005i −0.755569 + 0.602546i
\(518\) −3.10862 12.8295i −0.136585 0.563697i
\(519\) −3.45221 + 4.32894i −0.151535 + 0.190019i
\(520\) −16.3575 9.03479i −0.717322 0.396202i
\(521\) 9.49708 + 16.4494i 0.416075 + 0.720663i 0.995541 0.0943338i \(-0.0300721\pi\)
−0.579466 + 0.814997i \(0.696739\pi\)
\(522\) 6.61021 + 0.953633i 0.289321 + 0.0417394i
\(523\) 23.2122 25.0168i 1.01500 1.09391i 0.0194362 0.999811i \(-0.493813\pi\)
0.995563 0.0940979i \(-0.0299967\pi\)
\(524\) 0.899473 + 1.80891i 0.0392937 + 0.0790226i
\(525\) −5.10732 + 7.60488i −0.222902 + 0.331904i
\(526\) −18.0019 + 37.9940i −0.784922 + 1.65662i
\(527\) 0.647323 + 1.64935i 0.0281978 + 0.0718469i
\(528\) 0.364163 + 3.62634i 0.0158482 + 0.157816i
\(529\) 27.9543 8.62275i 1.21540 0.374902i
\(530\) 35.4393 + 2.43062i 1.53938 + 0.105579i
\(531\) 1.49645 0.341555i 0.0649405 0.0148222i
\(532\) −32.7139 1.80624i −1.41833 0.0783105i
\(533\) −9.90323 2.26035i −0.428956 0.0979065i
\(534\) 7.51975 + 2.26758i 0.325412 + 0.0981277i
\(535\) 12.0939 30.8148i 0.522865 1.33224i
\(536\) 23.8575 22.9937i 1.03049 0.993178i
\(537\) −4.35360 + 2.96823i −0.187872 + 0.128089i
\(538\) 20.2824 0.128218i 0.874435 0.00552788i
\(539\) −2.67445 16.2016i −0.115197 0.697850i
\(540\) −16.9477 + 0.214283i −0.729311 + 0.00922126i
\(541\) −13.2271 19.4005i −0.568676 0.834094i 0.428924 0.903341i \(-0.358893\pi\)
−0.997600 + 0.0692468i \(0.977940\pi\)
\(542\) −19.0480 20.2704i −0.818183 0.870687i
\(543\) 2.05388 5.23320i 0.0881403 0.224578i
\(544\) −0.818986 + 2.98718i −0.0351137 + 0.128074i
\(545\) 11.6912 51.2226i 0.500797 2.19414i
\(546\) −0.417508 2.53993i −0.0178677 0.108699i
\(547\) −23.1574 + 5.28553i −0.990140 + 0.225993i −0.686766 0.726879i \(-0.740970\pi\)
−0.303374 + 0.952872i \(0.598113\pi\)
\(548\) −2.48903 + 39.9929i −0.106326 + 1.70841i
\(549\) 8.73279 + 28.3110i 0.372706 + 1.20828i
\(550\) −2.39641 29.4762i −0.102183 1.25687i
\(551\) 3.74950 + 9.55356i 0.159734 + 0.406995i
\(552\) −7.21898 3.30933i −0.307260 0.140854i
\(553\) 12.9073 4.08053i 0.548874 0.173522i
\(554\) −24.3073 + 11.8957i −1.03272 + 0.505398i
\(555\) 3.47678 3.74708i 0.147581 0.159055i
\(556\) 0.824429 5.98195i 0.0349636 0.253691i
\(557\) 21.4482 12.3831i 0.908789 0.524690i 0.0287478 0.999587i \(-0.490848\pi\)
0.880041 + 0.474897i \(0.157515\pi\)
\(558\) −11.3326 6.44771i −0.479748 0.272954i
\(559\) 7.93406 9.94900i 0.335575 0.420798i
\(560\) −38.7504 7.53745i −1.63750 0.318515i
\(561\) −0.311058 0.390054i −0.0131329 0.0164681i
\(562\) 2.55145 + 16.2309i 0.107626 + 0.684658i
\(563\) −12.4452 + 18.2538i −0.524503 + 0.769304i −0.993492 0.113899i \(-0.963666\pi\)
0.468990 + 0.883204i \(0.344618\pi\)
\(564\) −4.02273 + 6.06358i −0.169388 + 0.255323i
\(565\) 3.24399 + 21.5225i 0.136476 + 0.905456i
\(566\) −1.39862 1.73125i −0.0587884 0.0727698i
\(567\) 12.7548 + 15.7664i 0.535653 + 0.662126i
\(568\) 5.23767 + 4.01681i 0.219768 + 0.168541i
\(569\) 6.88207 11.9201i 0.288512 0.499717i −0.684943 0.728597i \(-0.740173\pi\)
0.973455 + 0.228880i \(0.0735063\pi\)
\(570\) −6.41272 10.9468i −0.268599 0.458509i
\(571\) 5.17737 34.3496i 0.216666 1.43749i −0.570779 0.821103i \(-0.693359\pi\)
0.787446 0.616384i \(-0.211403\pi\)
\(572\) 6.16238 + 5.57454i 0.257662 + 0.233083i
\(573\) −1.91976 3.98642i −0.0801992 0.166535i
\(574\) −21.3758 + 1.88855i −0.892210 + 0.0788265i
\(575\) 58.0577 + 27.9591i 2.42117 + 1.16597i
\(576\) −9.12584 20.8865i −0.380243 0.870269i
\(577\) 1.58737 + 21.1820i 0.0660831 + 0.881817i 0.927477 + 0.373880i \(0.121973\pi\)
−0.861394 + 0.507937i \(0.830408\pi\)
\(578\) 7.10395 + 22.5239i 0.295485 + 0.936871i
\(579\) −5.38885 0.403838i −0.223953 0.0167829i
\(580\) 2.90385 + 12.0200i 0.120576 + 0.499103i
\(581\) −0.286892 + 0.953733i −0.0119023 + 0.0395675i
\(582\) 1.77923 8.02893i 0.0737514 0.332810i
\(583\) −15.0945 4.65602i −0.625149 0.192833i
\(584\) −30.4390 11.2851i −1.25958 0.466981i
\(585\) −13.7986 + 12.8033i −0.570504 + 0.529350i
\(586\) −25.9956 + 17.9653i −1.07387 + 0.742139i
\(587\) 2.03987i 0.0841944i 0.999114 + 0.0420972i \(0.0134039\pi\)
−0.999114 + 0.0420972i \(0.986596\pi\)
\(588\) −2.48902 4.83465i −0.102646 0.199378i
\(589\) 20.0360i 0.825571i
\(590\) 1.61577 + 2.33800i 0.0665200 + 0.0962539i
\(591\) −3.69780 + 3.43106i −0.152107 + 0.141135i
\(592\) 13.2629 + 4.82198i 0.545100 + 0.198182i
\(593\) 13.2013 + 4.07205i 0.542111 + 0.167219i 0.553704 0.832714i \(-0.313214\pi\)
−0.0115930 + 0.999933i \(0.503690\pi\)
\(594\) 7.35841 + 1.63064i 0.301919 + 0.0669060i
\(595\) 5.01638 2.00942i 0.205652 0.0823781i
\(596\) 15.0270 3.63028i 0.615529 0.148702i
\(597\) −2.60096 0.194915i −0.106450 0.00797733i
\(598\) −17.2679 + 5.44621i −0.706135 + 0.222712i
\(599\) −1.23243 16.4457i −0.0503559 0.671952i −0.964079 0.265615i \(-0.914425\pi\)
0.913723 0.406337i \(-0.133194\pi\)
\(600\) −3.75010 9.04677i −0.153097 0.369333i
\(601\) 23.6892 + 11.4081i 0.966304 + 0.465347i 0.849373 0.527793i \(-0.176980\pi\)
0.116931 + 0.993140i \(0.462695\pi\)
\(602\) 9.48716 25.1531i 0.386668 1.02516i
\(603\) −14.4818 30.0717i −0.589744 1.22462i
\(604\) 1.95803 + 1.77125i 0.0796713 + 0.0720713i
\(605\) 3.05614 20.2762i 0.124250 0.824343i
\(606\) 6.28148 3.67975i 0.255168 0.149480i
\(607\) −19.5385 + 33.8417i −0.793044 + 1.37359i 0.131030 + 0.991378i \(0.458171\pi\)
−0.924074 + 0.382214i \(0.875162\pi\)
\(608\) 20.9620 28.0608i 0.850120 1.13802i
\(609\) −1.05266 + 1.33912i −0.0426561 + 0.0542639i
\(610\) −42.6711 + 34.4726i −1.72770 + 1.39576i
\(611\) 2.47272 + 16.4055i 0.100036 + 0.663694i
\(612\) 2.59996 + 1.72488i 0.105097 + 0.0697242i
\(613\) 20.7988 30.5062i 0.840055 1.23213i −0.130547 0.991442i \(-0.541673\pi\)
0.970602 0.240692i \(-0.0773744\pi\)
\(614\) 39.1402 6.15273i 1.57957 0.248304i
\(615\) −5.18083 6.49656i −0.208911 0.261966i
\(616\) 16.0085 + 7.20348i 0.645003 + 0.290236i
\(617\) 14.9703 18.7722i 0.602682 0.755739i −0.383111 0.923702i \(-0.625147\pi\)
0.985793 + 0.167963i \(0.0537189\pi\)
\(618\) −0.598307 + 1.05160i −0.0240675 + 0.0423014i
\(619\) −10.8211 + 6.24757i −0.434937 + 0.251111i −0.701448 0.712721i \(-0.747463\pi\)
0.266511 + 0.963832i \(0.414129\pi\)
\(620\) 3.29597 23.9152i 0.132369 0.960456i
\(621\) −11.1702 + 12.0386i −0.448245 + 0.483093i
\(622\) 3.20383 + 6.54663i 0.128462 + 0.262496i
\(623\) 27.5512 25.9250i 1.10381 1.03866i
\(624\) 2.50863 + 1.13087i 0.100425 + 0.0452710i
\(625\) 3.61470 + 9.21010i 0.144588 + 0.368404i
\(626\) −36.2605 + 2.94797i −1.44926 + 0.117825i
\(627\) 1.66289 + 5.39095i 0.0664094 + 0.215294i
\(628\) 44.8788 + 2.79311i 1.79086 + 0.111457i
\(629\) −1.88336 + 0.429864i −0.0750944 + 0.0171398i
\(630\) −19.4224 + 34.6999i −0.773806 + 1.38248i
\(631\) 5.18699 22.7257i 0.206491 0.904695i −0.760390 0.649467i \(-0.774992\pi\)
0.966881 0.255228i \(-0.0821507\pi\)
\(632\) −4.00257 + 13.9071i −0.159214 + 0.553194i
\(633\) −1.52921 + 3.89637i −0.0607807 + 0.154867i
\(634\) −28.3093 + 26.6022i −1.12431 + 1.05651i
\(635\) −39.8844 58.4997i −1.58277 2.32149i
\(636\) −5.23050 + 0.0661334i −0.207403 + 0.00262236i
\(637\) −11.6033 4.36753i −0.459741 0.173048i
\(638\) −0.0347611 5.49874i −0.00137621 0.217697i
\(639\) 5.49361 3.74548i 0.217324 0.148169i
\(640\) 29.6364 30.0453i 1.17148 1.18765i
\(641\) 1.33485 3.40113i 0.0527232 0.134337i −0.902086 0.431557i \(-0.857964\pi\)
0.954809 + 0.297220i \(0.0960596\pi\)
\(642\) −1.40735 + 4.66706i −0.0555436 + 0.184194i
\(643\) 15.1293 + 3.45316i 0.596641 + 0.136179i 0.510168 0.860075i \(-0.329583\pi\)
0.0864728 + 0.996254i \(0.472440\pi\)
\(644\) −31.1748 + 22.1639i −1.22846 + 0.873381i
\(645\) 10.1486 2.31634i 0.399599 0.0912060i
\(646\) −0.328070 + 4.78338i −0.0129078 + 0.188200i
\(647\) 0.111009 0.0342418i 0.00436423 0.00134619i −0.292572 0.956243i \(-0.594511\pi\)
0.296937 + 0.954897i \(0.404035\pi\)
\(648\) −21.5847 + 2.02983i −0.847925 + 0.0797391i
\(649\) −0.461713 1.17643i −0.0181238 0.0461787i
\(650\) −20.1782 9.56066i −0.791455 0.375000i
\(651\) 2.86813 1.68279i 0.112411 0.0659538i
\(652\) 17.7355 + 35.6675i 0.694577 + 1.39685i
\(653\) −14.1537 + 15.2540i −0.553877 + 0.596937i −0.946477 0.322772i \(-0.895385\pi\)
0.392600 + 0.919709i \(0.371576\pi\)
\(654\) −1.10473 + 7.65756i −0.0431984 + 0.299434i
\(655\) 1.88393 + 3.26307i 0.0736114 + 0.127499i
\(656\) 10.9644 20.1509i 0.428088 0.786762i
\(657\) −20.3890 + 25.5670i −0.795449 + 0.997462i
\(658\) 15.6264 + 31.3726i 0.609181 + 1.22303i
\(659\) −24.4103 + 19.4666i −0.950890 + 0.758310i −0.970401 0.241500i \(-0.922361\pi\)
0.0195106 + 0.999810i \(0.493789\pi\)
\(660\) 1.09801 + 6.70823i 0.0427401 + 0.261117i
\(661\) −13.1670 + 19.3124i −0.512136 + 0.751166i −0.992008 0.126173i \(-0.959731\pi\)
0.479872 + 0.877338i \(0.340683\pi\)
\(662\) −34.0085 22.8730i −1.32178 0.888985i
\(663\) −0.372472 + 0.0561412i −0.0144656 + 0.00218034i
\(664\) −0.679505 0.819688i −0.0263699 0.0318101i
\(665\) −61.1061 + 0.427714i −2.36959 + 0.0165860i
\(666\) 8.79282 11.1700i 0.340715 0.432828i
\(667\) 10.3765 + 5.99087i 0.401779 + 0.231967i
\(668\) 2.77058 + 4.66166i 0.107197 + 0.180365i
\(669\) −0.653133 + 4.33326i −0.0252516 + 0.167533i
\(670\) 41.7468 45.5667i 1.61282 1.76040i
\(671\) 21.9778 10.5840i 0.848444 0.408589i
\(672\) 5.77742 + 0.643896i 0.222869 + 0.0248388i
\(673\) 17.1851 + 8.27591i 0.662437 + 0.319013i 0.734719 0.678371i \(-0.237314\pi\)
−0.0722823 + 0.997384i \(0.523028\pi\)
\(674\) 23.9388 9.57036i 0.922087 0.368636i
\(675\) −20.1956 + 1.51345i −0.777329 + 0.0582528i
\(676\) −18.7746 + 6.05219i −0.722101 + 0.232777i
\(677\) 25.0252 + 1.87538i 0.961796 + 0.0720766i 0.546364 0.837548i \(-0.316012\pi\)
0.415432 + 0.909624i \(0.363631\pi\)
\(678\) −0.732945 3.12019i −0.0281486 0.119830i
\(679\) −29.2245 26.7381i −1.12153 1.02612i
\(680\) −1.17846 + 5.65551i −0.0451920 + 0.216879i
\(681\) −5.70970 1.76121i −0.218796 0.0674897i
\(682\) −3.85875 + 10.0177i −0.147759 + 0.383597i
\(683\) −1.50001 1.61662i −0.0573962 0.0618584i 0.703701 0.710496i \(-0.251529\pi\)
−0.761097 + 0.648638i \(0.775339\pi\)
\(684\) −20.2422 28.8980i −0.773981 1.10494i
\(685\) 74.7350i 2.85548i
\(686\) −26.1621 1.24311i −0.998873 0.0474621i
\(687\) 5.59069 0.213298
\(688\) 16.7844 + 23.3283i 0.639898 + 0.889382i
\(689\) −8.74276 + 8.11209i −0.333072 + 0.309046i
\(690\) −13.8215 5.32396i −0.526175 0.202680i
\(691\) 8.10299 26.2692i 0.308252 0.999329i −0.660401 0.750913i \(-0.729614\pi\)
0.968653 0.248416i \(-0.0799100\pi\)
\(692\) −27.8738 5.99229i −1.05960 0.227793i
\(693\) 11.9366 13.0465i 0.453432 0.495596i
\(694\) −3.89769 16.5927i −0.147954 0.629849i
\(695\) 0.841639 11.2309i 0.0319252 0.426012i
\(696\) −0.569633 1.72955i −0.0215919 0.0655585i
\(697\) 0.234676 + 3.13153i 0.00888897 + 0.118615i
\(698\) −3.13809 7.84945i −0.118778 0.297106i
\(699\) −1.64839 + 3.42293i −0.0623480 + 0.129467i
\(700\) −46.7726 6.11288i −1.76784 0.231045i
\(701\) 2.47864 + 5.14694i 0.0936168 + 0.194397i 0.942519 0.334153i \(-0.108450\pi\)
−0.848902 + 0.528550i \(0.822736\pi\)
\(702\) 3.84411 4.19585i 0.145087 0.158362i
\(703\) 21.6009 + 3.25581i 0.814693 + 0.122795i
\(704\) −15.8849 + 9.99287i −0.598684 + 0.376620i
\(705\) −6.78582 + 11.7534i −0.255569 + 0.442658i
\(706\) 19.6416 + 15.4615i 0.739220 + 0.581901i
\(707\) −0.245431 35.0639i −0.00923039 1.31871i
\(708\) −0.265048 0.323873i −0.00996110 0.0121719i
\(709\) 0.530065 + 3.51675i 0.0199070 + 0.132074i 0.996577 0.0826724i \(-0.0263455\pi\)
−0.976670 + 0.214747i \(0.931107\pi\)
\(710\) 10.2153 + 6.87047i 0.383372 + 0.257844i
\(711\) 12.0445 + 8.21183i 0.451706 + 0.307968i
\(712\) 6.78498 + 39.8696i 0.254278 + 1.49418i
\(713\) −14.5843 18.2882i −0.546187 0.684897i
\(714\) −0.712288 + 0.354785i −0.0266567 + 0.0132775i
\(715\) 12.1171 + 9.66305i 0.453153 + 0.361378i
\(716\) −23.6666 13.2678i −0.884464 0.495843i
\(717\) −0.479194 + 0.276663i −0.0178958 + 0.0103322i
\(718\) −5.41348 + 37.5241i −0.202029 + 1.40039i
\(719\) 33.1985 + 30.8037i 1.23810 + 1.14879i 0.983339 + 0.181780i \(0.0581860\pi\)
0.254757 + 0.967005i \(0.418004\pi\)
\(720\) −19.4075 37.8228i −0.723274 1.40957i
\(721\) 2.94904 + 5.02631i 0.109828 + 0.187190i
\(722\) 11.7098 24.7142i 0.435795 0.919766i
\(723\) 3.39844 1.33379i 0.126389 0.0496042i
\(724\) 28.8372 2.52806i 1.07173 0.0939545i
\(725\) 4.35524 + 14.1193i 0.161749 + 0.524379i
\(726\) −0.206610 + 3.01244i −0.00766801 + 0.111802i
\(727\) 9.36597 + 41.0350i 0.347364 + 1.52190i 0.783139 + 0.621847i \(0.213617\pi\)
−0.435774 + 0.900056i \(0.643525\pi\)
\(728\) 10.7535 7.74809i 0.398552 0.287163i
\(729\) −4.27048 + 18.7102i −0.158166 + 0.692971i
\(730\) −57.9696 17.4807i −2.14555 0.646990i
\(731\) −3.66206 1.43725i −0.135446 0.0531587i
\(732\) 5.85159 5.56880i 0.216281 0.205829i
\(733\) 25.5437 + 37.4657i 0.943478 + 1.38383i 0.923320 + 0.384032i \(0.125465\pi\)
0.0201584 + 0.999797i \(0.493583\pi\)
\(734\) 0.303239 + 47.9683i 0.0111927 + 1.77054i
\(735\) −5.19342 8.71132i −0.191562 0.321322i
\(736\) −1.29228 40.8712i −0.0476341 1.50653i
\(737\) −22.7058 + 15.4806i −0.836380 + 0.570234i
\(738\) −15.8247 16.8402i −0.582515 0.619896i
\(739\) −17.2130 6.75560i −0.633190 0.248509i 0.0269672 0.999636i \(-0.491415\pi\)
−0.660157 + 0.751128i \(0.729510\pi\)
\(740\) 25.2474 + 7.43955i 0.928113 + 0.273483i
\(741\) 4.15273 + 0.947834i 0.152554 + 0.0348196i
\(742\) −12.3059 + 21.9857i −0.451765 + 0.807121i
\(743\) 2.70346 + 11.8446i 0.0991804 + 0.434538i 1.00000 0.000343968i \(0.000109488\pi\)
−0.900820 + 0.434194i \(0.857033\pi\)
\(744\) −0.198388 + 3.54941i −0.00727325 + 0.130128i
\(745\) 27.5521 8.49869i 1.00943 0.311368i
\(746\) −1.35354 16.6488i −0.0495568 0.609556i
\(747\) −0.998371 + 0.391832i −0.0365285 + 0.0143364i
\(748\) 1.08526 2.32843i 0.0396812 0.0851358i
\(749\) 16.0901 + 17.0994i 0.587918 + 0.624797i
\(750\) −3.52555 7.20403i −0.128735 0.263054i
\(751\) 35.1457 + 32.6105i 1.28249 + 1.18997i 0.970828 + 0.239779i \(0.0770749\pi\)
0.311658 + 0.950194i \(0.399116\pi\)
\(752\) −37.1797 4.64589i −1.35580 0.169418i
\(753\) −0.139508 0.241635i −0.00508395 0.00880565i
\(754\) −3.60858 2.05311i −0.131417 0.0747698i
\(755\) 3.85008 + 3.07034i 0.140119 + 0.111741i
\(756\) 5.00223 10.9314i 0.181929 0.397572i
\(757\) −4.91374 + 3.91858i −0.178593 + 0.142423i −0.708706 0.705504i \(-0.750721\pi\)
0.530113 + 0.847927i \(0.322149\pi\)
\(758\) 13.4347 2.11189i 0.487969 0.0767074i
\(759\) 5.44192 + 3.71024i 0.197529 + 0.134673i
\(760\) 35.7697 54.6636i 1.29750 1.98286i
\(761\) −17.0595 + 2.57131i −0.618408 + 0.0932100i −0.450772 0.892639i \(-0.648851\pi\)
−0.167636 + 0.985849i \(0.553613\pi\)
\(762\) 6.55197 + 8.11021i 0.237353 + 0.293802i
\(763\) 29.2972 + 23.0301i 1.06063 + 0.833747i
\(764\) 13.9787 17.9907i 0.505732 0.650881i
\(765\) 5.03965 + 2.90964i 0.182209 + 0.105198i
\(766\) 15.2485 8.93270i 0.550949 0.322752i
\(767\) −0.943529 0.142214i −0.0340689 0.00513506i
\(768\) −3.99128 + 4.76345i −0.144023 + 0.171886i
\(769\) −43.1866 + 20.7976i −1.55735 + 0.749979i −0.996935 0.0782344i \(-0.975072\pi\)
−0.560413 + 0.828213i \(0.689357\pi\)
\(770\) 30.6344 + 11.5546i 1.10399 + 0.416399i
\(771\) 2.28316 4.74104i