Properties

Label 462.2.bc.b.95.8
Level $462$
Weight $2$
Character 462.95
Analytic conductor $3.689$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.bc (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 95.8
Character \(\chi\) \(=\) 462.95
Dual form 462.2.bc.b.107.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.104528 + 0.994522i) q^{2} +(0.110709 + 1.72851i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(-1.75629 + 3.94468i) q^{5} +(-1.73061 - 0.0705756i) q^{6} +(2.64495 + 0.0650804i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-2.97549 + 0.382724i) q^{9} +O(q^{10})\) \(q+(-0.104528 + 0.994522i) q^{2} +(0.110709 + 1.72851i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(-1.75629 + 3.94468i) q^{5} +(-1.73061 - 0.0705756i) q^{6} +(2.64495 + 0.0650804i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-2.97549 + 0.382724i) q^{9} +(-3.73949 - 2.15900i) q^{10} +(3.29397 + 0.387016i) q^{11} +(0.251087 - 1.71375i) q^{12} +(-2.24820 + 3.09438i) q^{13} +(-0.341197 + 2.62366i) q^{14} +(-7.01286 - 2.59904i) q^{15} +(0.913545 + 0.406737i) q^{16} +(-0.195558 - 1.86061i) q^{17} +(-0.0696043 - 2.99919i) q^{18} +(0.385005 + 1.81130i) q^{19} +(2.53805 - 3.49333i) q^{20} +(0.180329 + 4.57903i) q^{21} +(-0.729209 + 3.23547i) q^{22} +(5.76787 - 3.33008i) q^{23} +(1.67812 + 0.428848i) q^{24} +(-9.13033 - 10.1403i) q^{25} +(-2.84243 - 2.55934i) q^{26} +(-0.990956 - 5.10078i) q^{27} +(-2.57362 - 0.613574i) q^{28} +(-1.60027 - 4.92514i) q^{29} +(3.31785 - 6.70277i) q^{30} +(1.16659 - 0.519398i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(-0.304288 + 5.73650i) q^{33} +1.87086 q^{34} +(-4.90201 + 10.3192i) q^{35} +(2.99004 + 0.244278i) q^{36} +(3.11006 - 3.45407i) q^{37} +(-1.84163 + 0.193563i) q^{38} +(-5.59756 - 3.54346i) q^{39} +(3.20889 + 2.88930i) q^{40} +(-2.90786 + 8.94949i) q^{41} +(-4.57279 - 0.299298i) q^{42} +2.90165i q^{43} +(-3.14152 - 1.06341i) q^{44} +(3.71608 - 12.4095i) q^{45} +(2.70893 + 6.08437i) q^{46} +(-1.28772 - 6.05823i) q^{47} +(-0.601910 + 1.62410i) q^{48} +(6.99153 + 0.344269i) q^{49} +(11.0391 - 8.02037i) q^{50} +(3.19444 - 0.544012i) q^{51} +(2.84243 - 2.55934i) q^{52} +(5.16057 + 11.5908i) q^{53} +(5.17643 - 0.452350i) q^{54} +(-7.31180 + 12.3139i) q^{55} +(0.879230 - 2.49539i) q^{56} +(-3.08823 + 0.866012i) q^{57} +(5.06543 - 1.07669i) q^{58} +(0.0588568 - 0.276899i) q^{59} +(6.31924 + 4.00030i) q^{60} +(-3.90556 + 8.77203i) q^{61} +(0.394611 + 1.21449i) q^{62} +(-7.89492 + 0.818640i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(-8.25787 - 14.3031i) q^{65} +(-5.67327 - 0.902248i) q^{66} +(-3.82181 + 6.61957i) q^{67} +(-0.195558 + 1.86061i) q^{68} +(6.39464 + 9.60115i) q^{69} +(-9.75026 - 5.95381i) q^{70} +(0.878299 + 1.20888i) q^{71} +(-0.555484 + 2.94812i) q^{72} +(1.25945 - 5.92524i) q^{73} +(3.11006 + 3.45407i) q^{74} +(16.5167 - 16.9045i) q^{75} -1.85177i q^{76} +(8.68719 + 1.23801i) q^{77} +(4.10915 - 5.19651i) q^{78} +(4.12085 + 0.433118i) q^{79} +(-3.20889 + 2.88930i) q^{80} +(8.70704 - 2.27758i) q^{81} +(-8.59651 - 3.82741i) q^{82} +(-4.25224 + 3.08943i) q^{83} +(0.775645 - 4.51646i) q^{84} +(7.68299 + 2.49635i) q^{85} +(-2.88576 - 0.303305i) q^{86} +(8.33598 - 3.31135i) q^{87} +(1.38597 - 3.01315i) q^{88} +(0.326895 - 0.188733i) q^{89} +(11.9531 + 4.99287i) q^{90} +(-6.14776 + 8.03817i) q^{91} +(-6.33420 + 2.05810i) q^{92} +(1.02694 + 1.95895i) q^{93} +(6.15965 - 0.647405i) q^{94} +(-7.82120 - 1.66245i) q^{95} +(-1.55229 - 0.768377i) q^{96} +(-3.32691 - 2.41714i) q^{97} +(-1.07320 + 6.91724i) q^{98} +(-9.94928 + 0.109119i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9} + O(q^{10}) \) \( 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9} - 6 q^{11} - 12 q^{15} + 16 q^{16} - 2 q^{17} - 4 q^{18} + 2 q^{22} - 12 q^{25} - 18 q^{27} - 5 q^{28} + 38 q^{29} + 6 q^{30} - 3 q^{31} - 64 q^{32} + 28 q^{33} - 16 q^{34} - 31 q^{35} + 8 q^{36} + 2 q^{37} - 2 q^{39} + 5 q^{40} + 16 q^{41} - 13 q^{42} - q^{44} + 28 q^{45} + 38 q^{49} + 34 q^{50} + 4 q^{51} + 25 q^{53} - 6 q^{54} - 42 q^{55} - 100 q^{57} - 19 q^{58} + 40 q^{59} - 4 q^{60} + 40 q^{61} - 4 q^{62} - 106 q^{63} - 32 q^{64} + 20 q^{65} - 7 q^{66} + 16 q^{67} - 2 q^{68} - 68 q^{69} - 21 q^{70} + 80 q^{71} - 4 q^{72} + 10 q^{73} + 2 q^{74} - 14 q^{75} + q^{77} - 16 q^{78} - 5 q^{80} + 32 q^{81} - 8 q^{82} - 92 q^{83} + 8 q^{84} - 100 q^{85} - 40 q^{86} - 38 q^{87} - q^{88} + 4 q^{90} + 12 q^{91} - 20 q^{92} - 33 q^{93} + 40 q^{94} + 38 q^{95} - 16 q^{97} + 18 q^{98} + 2 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{7}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.104528 + 0.994522i −0.0739128 + 0.703233i
\(3\) 0.110709 + 1.72851i 0.0639180 + 0.997955i
\(4\) −0.978148 0.207912i −0.489074 0.103956i
\(5\) −1.75629 + 3.94468i −0.785435 + 1.76412i −0.154938 + 0.987924i \(0.549518\pi\)
−0.630497 + 0.776192i \(0.717149\pi\)
\(6\) −1.73061 0.0705756i −0.706520 0.0288124i
\(7\) 2.64495 + 0.0650804i 0.999697 + 0.0245981i
\(8\) 0.309017 0.951057i 0.109254 0.336249i
\(9\) −2.97549 + 0.382724i −0.991829 + 0.127575i
\(10\) −3.73949 2.15900i −1.18253 0.682735i
\(11\) 3.29397 + 0.387016i 0.993168 + 0.116690i
\(12\) 0.251087 1.71375i 0.0724826 0.494718i
\(13\) −2.24820 + 3.09438i −0.623538 + 0.858227i −0.997605 0.0691750i \(-0.977963\pi\)
0.374066 + 0.927402i \(0.377963\pi\)
\(14\) −0.341197 + 2.62366i −0.0911886 + 0.701202i
\(15\) −7.01286 2.59904i −1.81071 0.671070i
\(16\) 0.913545 + 0.406737i 0.228386 + 0.101684i
\(17\) −0.195558 1.86061i −0.0474299 0.451265i −0.992303 0.123830i \(-0.960482\pi\)
0.944874 0.327435i \(-0.106184\pi\)
\(18\) −0.0696043 2.99919i −0.0164059 0.706916i
\(19\) 0.385005 + 1.81130i 0.0883261 + 0.415542i 0.999989 + 0.00460363i \(0.00146539\pi\)
−0.911663 + 0.410938i \(0.865201\pi\)
\(20\) 2.53805 3.49333i 0.567526 0.781132i
\(21\) 0.180329 + 4.57903i 0.0393509 + 0.999225i
\(22\) −0.729209 + 3.23547i −0.155468 + 0.689804i
\(23\) 5.76787 3.33008i 1.20268 0.694370i 0.241534 0.970392i \(-0.422350\pi\)
0.961151 + 0.276022i \(0.0890163\pi\)
\(24\) 1.67812 + 0.428848i 0.342545 + 0.0875382i
\(25\) −9.13033 10.1403i −1.82607 2.02805i
\(26\) −2.84243 2.55934i −0.557446 0.501927i
\(27\) −0.990956 5.10078i −0.190710 0.981647i
\(28\) −2.57362 0.613574i −0.486369 0.115955i
\(29\) −1.60027 4.92514i −0.297163 0.914575i −0.982486 0.186335i \(-0.940339\pi\)
0.685323 0.728239i \(-0.259661\pi\)
\(30\) 3.31785 6.70277i 0.605754 1.22375i
\(31\) 1.16659 0.519398i 0.209525 0.0932866i −0.299291 0.954162i \(-0.596750\pi\)
0.508816 + 0.860875i \(0.330083\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) −0.304288 + 5.73650i −0.0529697 + 0.998596i
\(34\) 1.87086 0.320850
\(35\) −4.90201 + 10.3192i −0.828591 + 1.74426i
\(36\) 2.99004 + 0.244278i 0.498340 + 0.0407130i
\(37\) 3.11006 3.45407i 0.511290 0.567845i −0.431124 0.902292i \(-0.641883\pi\)
0.942414 + 0.334447i \(0.108550\pi\)
\(38\) −1.84163 + 0.193563i −0.298751 + 0.0314000i
\(39\) −5.59756 3.54346i −0.896327 0.567407i
\(40\) 3.20889 + 2.88930i 0.507371 + 0.456839i
\(41\) −2.90786 + 8.94949i −0.454132 + 1.39768i 0.418019 + 0.908438i \(0.362725\pi\)
−0.872151 + 0.489237i \(0.837275\pi\)
\(42\) −4.57279 0.299298i −0.705597 0.0461827i
\(43\) 2.90165i 0.442498i 0.975217 + 0.221249i \(0.0710134\pi\)
−0.975217 + 0.221249i \(0.928987\pi\)
\(44\) −3.14152 1.06341i −0.473602 0.160316i
\(45\) 3.71608 12.4095i 0.553961 1.84990i
\(46\) 2.70893 + 6.08437i 0.399411 + 0.897091i
\(47\) −1.28772 6.05823i −0.187833 0.883684i −0.966584 0.256351i \(-0.917480\pi\)
0.778751 0.627333i \(-0.215854\pi\)
\(48\) −0.601910 + 1.62410i −0.0868782 + 0.234419i
\(49\) 6.99153 + 0.344269i 0.998790 + 0.0491813i
\(50\) 11.0391 8.02037i 1.56116 1.13425i
\(51\) 3.19444 0.544012i 0.447311 0.0761769i
\(52\) 2.84243 2.55934i 0.394174 0.354916i
\(53\) 5.16057 + 11.5908i 0.708859 + 1.59212i 0.802594 + 0.596526i \(0.203453\pi\)
−0.0937353 + 0.995597i \(0.529881\pi\)
\(54\) 5.17643 0.452350i 0.704422 0.0615570i
\(55\) −7.31180 + 12.3139i −0.985923 + 1.66041i
\(56\) 0.879230 2.49539i 0.117492 0.333460i
\(57\) −3.08823 + 0.866012i −0.409046 + 0.114706i
\(58\) 5.06543 1.07669i 0.665124 0.141376i
\(59\) 0.0588568 0.276899i 0.00766250 0.0360492i −0.974150 0.225901i \(-0.927467\pi\)
0.981813 + 0.189852i \(0.0608007\pi\)
\(60\) 6.31924 + 4.00030i 0.815810 + 0.516437i
\(61\) −3.90556 + 8.77203i −0.500055 + 1.12314i 0.470530 + 0.882384i \(0.344063\pi\)
−0.970585 + 0.240759i \(0.922604\pi\)
\(62\) 0.394611 + 1.21449i 0.0501157 + 0.154240i
\(63\) −7.89492 + 0.818640i −0.994667 + 0.103139i
\(64\) −0.809017 0.587785i −0.101127 0.0734732i
\(65\) −8.25787 14.3031i −1.02426 1.77408i
\(66\) −5.67327 0.902248i −0.698331 0.111059i
\(67\) −3.82181 + 6.61957i −0.466908 + 0.808709i −0.999285 0.0377985i \(-0.987966\pi\)
0.532377 + 0.846507i \(0.321299\pi\)
\(68\) −0.195558 + 1.86061i −0.0237149 + 0.225633i
\(69\) 6.39464 + 9.60115i 0.769824 + 1.15584i
\(70\) −9.75026 5.95381i −1.16538 0.711616i
\(71\) 0.878299 + 1.20888i 0.104235 + 0.143467i 0.857948 0.513737i \(-0.171739\pi\)
−0.753713 + 0.657204i \(0.771739\pi\)
\(72\) −0.555484 + 2.94812i −0.0654644 + 0.347440i
\(73\) 1.25945 5.92524i 0.147407 0.693496i −0.840921 0.541158i \(-0.817986\pi\)
0.988328 0.152339i \(-0.0486805\pi\)
\(74\) 3.11006 + 3.45407i 0.361537 + 0.401527i
\(75\) 16.5167 16.9045i 1.90719 1.95196i
\(76\) 1.85177i 0.212413i
\(77\) 8.68719 + 1.23801i 0.989998 + 0.141084i
\(78\) 4.10915 5.19651i 0.465270 0.588389i
\(79\) 4.12085 + 0.433118i 0.463631 + 0.0487296i 0.333465 0.942763i \(-0.391782\pi\)
0.130167 + 0.991492i \(0.458449\pi\)
\(80\) −3.20889 + 2.88930i −0.358765 + 0.323034i
\(81\) 8.70704 2.27758i 0.967449 0.253064i
\(82\) −8.59651 3.82741i −0.949325 0.422667i
\(83\) −4.25224 + 3.08943i −0.466744 + 0.339109i −0.796171 0.605072i \(-0.793144\pi\)
0.329427 + 0.944181i \(0.393144\pi\)
\(84\) 0.775645 4.51646i 0.0846298 0.492786i
\(85\) 7.68299 + 2.49635i 0.833337 + 0.270768i
\(86\) −2.88576 0.303305i −0.311179 0.0327063i
\(87\) 8.33598 3.31135i 0.893711 0.355014i
\(88\) 1.38597 3.01315i 0.147744 0.321203i
\(89\) 0.326895 0.188733i 0.0346508 0.0200056i −0.482575 0.875855i \(-0.660298\pi\)
0.517225 + 0.855849i \(0.326965\pi\)
\(90\) 11.9531 + 4.99287i 1.25997 + 0.526295i
\(91\) −6.14776 + 8.03817i −0.644461 + 0.842630i
\(92\) −6.33420 + 2.05810i −0.660386 + 0.214572i
\(93\) 1.02694 + 1.95895i 0.106488 + 0.203134i
\(94\) 6.15965 0.647405i 0.635319 0.0667748i
\(95\) −7.82120 1.66245i −0.802438 0.170563i
\(96\) −1.55229 0.768377i −0.158430 0.0784222i
\(97\) −3.32691 2.41714i −0.337797 0.245424i 0.405935 0.913902i \(-0.366946\pi\)
−0.743732 + 0.668478i \(0.766946\pi\)
\(98\) −1.07320 + 6.91724i −0.108409 + 0.698747i
\(99\) −9.94928 + 0.109119i −0.999940 + 0.0109669i
\(100\) 6.82253 + 11.8170i 0.682253 + 1.18170i
\(101\) 18.2429 8.12225i 1.81523 0.808194i 0.861354 0.508006i \(-0.169617\pi\)
0.953880 0.300188i \(-0.0970496\pi\)
\(102\) 0.207122 + 3.23380i 0.0205081 + 0.320194i
\(103\) −6.69173 + 7.43192i −0.659356 + 0.732289i −0.976364 0.216134i \(-0.930655\pi\)
0.317008 + 0.948423i \(0.397322\pi\)
\(104\) 2.24820 + 3.09438i 0.220454 + 0.303429i
\(105\) −18.3795 7.33074i −1.79366 0.715407i
\(106\) −12.0668 + 3.92073i −1.17203 + 0.380815i
\(107\) −8.33745 + 1.77218i −0.806012 + 0.171323i −0.592451 0.805607i \(-0.701840\pi\)
−0.213561 + 0.976930i \(0.568506\pi\)
\(108\) −0.0912118 + 5.19535i −0.00877686 + 0.499923i
\(109\) 0.521271 + 0.300956i 0.0499287 + 0.0288263i 0.524757 0.851252i \(-0.324156\pi\)
−0.474828 + 0.880079i \(0.657490\pi\)
\(110\) −11.4822 8.55891i −1.09478 0.816060i
\(111\) 6.31470 + 4.99336i 0.599364 + 0.473949i
\(112\) 2.38981 + 1.13525i 0.225816 + 0.107271i
\(113\) 2.79358 + 0.907689i 0.262798 + 0.0853882i 0.437452 0.899242i \(-0.355881\pi\)
−0.174655 + 0.984630i \(0.555881\pi\)
\(114\) −0.538460 3.16184i −0.0504314 0.296133i
\(115\) 3.00609 + 28.6010i 0.280319 + 2.66706i
\(116\) 0.541311 + 5.15023i 0.0502594 + 0.478186i
\(117\) 5.50520 10.0677i 0.508955 0.930762i
\(118\) 0.269230 + 0.0874782i 0.0247846 + 0.00805302i
\(119\) −0.396153 4.93396i −0.0363153 0.452295i
\(120\) −4.63893 + 5.86648i −0.423474 + 0.535533i
\(121\) 10.7004 + 2.54964i 0.972767 + 0.231785i
\(122\) −8.31573 4.80109i −0.752871 0.434670i
\(123\) −15.7912 4.03548i −1.42384 0.363867i
\(124\) −1.24908 + 0.265501i −0.112171 + 0.0238427i
\(125\) 35.5023 11.5354i 3.17542 1.03176i
\(126\) 0.0110887 7.93725i 0.000987859 0.707106i
\(127\) 4.41242 + 6.07317i 0.391539 + 0.538907i 0.958595 0.284772i \(-0.0919179\pi\)
−0.567057 + 0.823679i \(0.691918\pi\)
\(128\) 0.669131 0.743145i 0.0591433 0.0656853i
\(129\) −5.01553 + 0.321240i −0.441593 + 0.0282836i
\(130\) 15.0879 6.71756i 1.32330 0.589169i
\(131\) 2.19833 + 3.80762i 0.192069 + 0.332673i 0.945936 0.324354i \(-0.105147\pi\)
−0.753867 + 0.657027i \(0.771814\pi\)
\(132\) 1.49032 5.54788i 0.129716 0.482881i
\(133\) 0.900438 + 4.81587i 0.0780778 + 0.417589i
\(134\) −6.18382 4.49281i −0.534200 0.388119i
\(135\) 21.8614 + 5.04943i 1.88153 + 0.434586i
\(136\) −1.82998 0.388974i −0.156919 0.0333543i
\(137\) −13.2270 + 1.39021i −1.13006 + 0.118774i −0.651047 0.759037i \(-0.725670\pi\)
−0.479008 + 0.877811i \(0.659003\pi\)
\(138\) −10.2170 + 5.35601i −0.869727 + 0.455934i
\(139\) 8.53433 2.77297i 0.723873 0.235200i 0.0761713 0.997095i \(-0.475730\pi\)
0.647701 + 0.761894i \(0.275730\pi\)
\(140\) 6.94037 9.07451i 0.586568 0.766936i
\(141\) 10.3292 2.89653i 0.869871 0.243932i
\(142\) −1.29406 + 0.747126i −0.108595 + 0.0626974i
\(143\) −8.60307 + 9.32270i −0.719425 + 0.779604i
\(144\) −2.87391 0.860604i −0.239493 0.0717170i
\(145\) 22.2386 + 2.33738i 1.84682 + 0.194108i
\(146\) 5.76113 + 1.87190i 0.476794 + 0.154920i
\(147\) 0.178955 + 12.1230i 0.0147600 + 0.999891i
\(148\) −3.76023 + 2.73197i −0.309089 + 0.224567i
\(149\) −4.03330 1.79574i −0.330421 0.147113i 0.234820 0.972039i \(-0.424550\pi\)
−0.565241 + 0.824926i \(0.691217\pi\)
\(150\) 15.0854 + 18.1932i 1.23172 + 1.48547i
\(151\) 4.14869 3.73550i 0.337616 0.303991i −0.482831 0.875714i \(-0.660391\pi\)
0.820447 + 0.571723i \(0.193725\pi\)
\(152\) 1.84163 + 0.193563i 0.149376 + 0.0157000i
\(153\) 1.29398 + 5.46139i 0.104612 + 0.441527i
\(154\) −2.13929 + 8.51020i −0.172389 + 0.685771i
\(155\) 5.51403i 0.442897i
\(156\) 4.73852 + 4.62982i 0.379385 + 0.370682i
\(157\) −6.00875 6.67339i −0.479551 0.532595i 0.454019 0.890992i \(-0.349990\pi\)
−0.933569 + 0.358397i \(0.883323\pi\)
\(158\) −0.861491 + 4.05300i −0.0685366 + 0.322439i
\(159\) −19.4635 + 10.2033i −1.54356 + 0.809175i
\(160\) −2.53805 3.49333i −0.200651 0.276172i
\(161\) 15.4725 8.43253i 1.21940 0.664577i
\(162\) 1.35497 + 8.89742i 0.106456 + 0.699047i
\(163\) 1.73933 16.5486i 0.136234 1.29618i −0.686237 0.727378i \(-0.740739\pi\)
0.822471 0.568806i \(-0.192595\pi\)
\(164\) 4.70502 8.14934i 0.367401 0.636357i
\(165\) −22.0942 11.2753i −1.72003 0.877777i
\(166\) −2.62803 4.55188i −0.203975 0.353294i
\(167\) −3.93748 2.86075i −0.304691 0.221371i 0.424924 0.905229i \(-0.360301\pi\)
−0.729615 + 0.683858i \(0.760301\pi\)
\(168\) 4.41064 + 1.24349i 0.340288 + 0.0959377i
\(169\) −0.503574 1.54984i −0.0387365 0.119219i
\(170\) −3.28577 + 7.37996i −0.252007 + 0.566017i
\(171\) −1.83881 5.24216i −0.140617 0.400878i
\(172\) 0.603288 2.83825i 0.0460003 0.216414i
\(173\) 14.1785 3.01373i 1.07797 0.229130i 0.365485 0.930817i \(-0.380903\pi\)
0.712485 + 0.701688i \(0.247570\pi\)
\(174\) 2.42186 + 8.63644i 0.183601 + 0.654727i
\(175\) −23.4893 27.4147i −1.77563 2.07236i
\(176\) 2.85178 + 1.69333i 0.214961 + 0.127640i
\(177\) 0.485139 + 0.0710791i 0.0364653 + 0.00534263i
\(178\) 0.153529 + 0.344832i 0.0115075 + 0.0258462i
\(179\) 1.69852 1.52935i 0.126953 0.114309i −0.603209 0.797584i \(-0.706111\pi\)
0.730162 + 0.683274i \(0.239445\pi\)
\(180\) −6.21496 + 11.3657i −0.463236 + 0.847152i
\(181\) 1.13997 0.828240i 0.0847337 0.0615626i −0.544612 0.838688i \(-0.683323\pi\)
0.629346 + 0.777126i \(0.283323\pi\)
\(182\) −7.35152 6.95430i −0.544931 0.515487i
\(183\) −15.5949 5.77965i −1.15281 0.427244i
\(184\) −1.38473 6.51463i −0.102083 0.480265i
\(185\) 8.16305 + 18.3345i 0.600159 + 1.34798i
\(186\) −2.05557 + 0.816544i −0.150721 + 0.0598719i
\(187\) 0.0759244 6.20449i 0.00555214 0.453717i
\(188\) 6.19358i 0.451713i
\(189\) −2.28907 13.5558i −0.166505 0.986041i
\(190\) 2.47088 7.60458i 0.179256 0.551694i
\(191\) 3.21681 + 2.89643i 0.232760 + 0.209578i 0.777254 0.629186i \(-0.216612\pi\)
−0.544494 + 0.838764i \(0.683278\pi\)
\(192\) 0.926426 1.46347i 0.0668591 0.105617i
\(193\) −17.6146 + 1.85137i −1.26793 + 0.133264i −0.714501 0.699634i \(-0.753346\pi\)
−0.553425 + 0.832899i \(0.686680\pi\)
\(194\) 2.75166 3.05603i 0.197558 0.219410i
\(195\) 23.8087 15.8573i 1.70498 1.13556i
\(196\) −6.76717 1.79037i −0.483369 0.127883i
\(197\) −20.8535 −1.48575 −0.742873 0.669432i \(-0.766538\pi\)
−0.742873 + 0.669432i \(0.766538\pi\)
\(198\) 0.931461 9.90618i 0.0661961 0.704001i
\(199\) 8.32060 14.4117i 0.589831 1.02162i −0.404423 0.914572i \(-0.632528\pi\)
0.994254 0.107046i \(-0.0341391\pi\)
\(200\) −12.4654 + 5.54995i −0.881436 + 0.392441i
\(201\) −11.8651 5.87318i −0.836899 0.414262i
\(202\) 6.17086 + 18.9919i 0.434180 + 1.33627i
\(203\) −3.91212 13.1309i −0.274577 0.921608i
\(204\) −3.23774 0.132037i −0.226687 0.00924446i
\(205\) −30.1958 27.1885i −2.10897 1.89892i
\(206\) −6.69173 7.43192i −0.466235 0.517807i
\(207\) −15.8877 + 12.1161i −1.10427 + 0.842129i
\(208\) −3.31243 + 1.91243i −0.229676 + 0.132603i
\(209\) 0.567189 + 6.11538i 0.0392333 + 0.423010i
\(210\) 9.21176 17.5126i 0.635672 1.20848i
\(211\) −7.10704 + 9.78201i −0.489269 + 0.673421i −0.980253 0.197748i \(-0.936637\pi\)
0.490984 + 0.871169i \(0.336637\pi\)
\(212\) −2.63793 12.4105i −0.181174 0.852356i
\(213\) −1.99232 + 1.65198i −0.136511 + 0.113192i
\(214\) −0.890971 8.47702i −0.0609055 0.579477i
\(215\) −11.4461 5.09613i −0.780618 0.347553i
\(216\) −5.15736 0.633774i −0.350914 0.0431229i
\(217\) 3.11937 1.29786i 0.211756 0.0881045i
\(218\) −0.353795 + 0.486957i −0.0239620 + 0.0329809i
\(219\) 10.3813 + 1.52099i 0.701500 + 0.102779i
\(220\) 9.71224 10.5246i 0.654799 0.709572i
\(221\) 6.19710 + 3.57790i 0.416862 + 0.240676i
\(222\) −5.62607 + 5.75816i −0.377597 + 0.386462i
\(223\) 4.63157 14.2545i 0.310153 0.954552i −0.667551 0.744564i \(-0.732657\pi\)
0.977704 0.209988i \(-0.0673426\pi\)
\(224\) −1.37884 + 2.25805i −0.0921274 + 0.150873i
\(225\) 31.0481 + 26.6778i 2.06987 + 1.77852i
\(226\) −1.19472 + 2.68340i −0.0794719 + 0.178497i
\(227\) 7.17181 + 1.52442i 0.476010 + 0.101179i 0.439668 0.898160i \(-0.355096\pi\)
0.0363419 + 0.999339i \(0.488429\pi\)
\(228\) 3.20080 0.205008i 0.211978 0.0135770i
\(229\) 1.63005 15.5088i 0.107716 1.02485i −0.798487 0.602012i \(-0.794366\pi\)
0.906204 0.422842i \(-0.138967\pi\)
\(230\) −28.7586 −1.89628
\(231\) −1.17816 + 15.1530i −0.0775172 + 0.996991i
\(232\) −5.17859 −0.339991
\(233\) −1.36272 + 12.9655i −0.0892750 + 0.849395i 0.854643 + 0.519216i \(0.173776\pi\)
−0.943918 + 0.330179i \(0.892891\pi\)
\(234\) 9.43713 + 6.52740i 0.616925 + 0.426710i
\(235\) 26.1594 + 5.56036i 1.70645 + 0.362718i
\(236\) −0.115141 + 0.258611i −0.00749505 + 0.0168342i
\(237\) −0.292433 + 7.17087i −0.0189956 + 0.465798i
\(238\) 4.94834 + 0.121756i 0.320753 + 0.00789230i
\(239\) −1.99602 + 6.14310i −0.129111 + 0.397364i −0.994628 0.103517i \(-0.966991\pi\)
0.865516 + 0.500881i \(0.166991\pi\)
\(240\) −5.34944 5.22673i −0.345305 0.337384i
\(241\) −13.3575 7.71194i −0.860430 0.496770i 0.00372601 0.999993i \(-0.498814\pi\)
−0.864156 + 0.503223i \(0.832147\pi\)
\(242\) −3.65417 + 10.3753i −0.234899 + 0.666950i
\(243\) 4.90077 + 14.7981i 0.314384 + 0.949296i
\(244\) 5.64402 7.76833i 0.361321 0.497316i
\(245\) −13.6372 + 26.9747i −0.871246 + 1.72335i
\(246\) 5.66400 15.2829i 0.361124 0.974400i
\(247\) −6.47043 2.88082i −0.411704 0.183302i
\(248\) −0.133482 1.26999i −0.00847609 0.0806446i
\(249\) −5.81087 7.00800i −0.368249 0.444114i
\(250\) 7.76120 + 36.5136i 0.490862 + 2.30932i
\(251\) 7.68813 10.5818i 0.485270 0.667917i −0.494237 0.869327i \(-0.664552\pi\)
0.979507 + 0.201410i \(0.0645524\pi\)
\(252\) 7.89261 + 0.840696i 0.497187 + 0.0529589i
\(253\) 20.2880 8.73693i 1.27549 0.549286i
\(254\) −6.50113 + 3.75343i −0.407917 + 0.235511i
\(255\) −3.46439 + 13.5565i −0.216949 + 0.848940i
\(256\) 0.669131 + 0.743145i 0.0418207 + 0.0464466i
\(257\) 12.1156 + 10.9090i 0.755752 + 0.680482i 0.954046 0.299660i \(-0.0968734\pi\)
−0.198294 + 0.980143i \(0.563540\pi\)
\(258\) 0.204786 5.02164i 0.0127494 0.312634i
\(259\) 8.45073 8.93343i 0.525103 0.555096i
\(260\) 5.10365 + 15.7074i 0.316515 + 0.974132i
\(261\) 6.64656 + 14.0422i 0.411412 + 0.869191i
\(262\) −4.01655 + 1.78828i −0.248143 + 0.110481i
\(263\) 10.1504 17.5810i 0.625901 1.08409i −0.362465 0.931997i \(-0.618065\pi\)
0.988366 0.152094i \(-0.0486017\pi\)
\(264\) 5.36170 + 2.06207i 0.329990 + 0.126912i
\(265\) −54.7856 −3.36545
\(266\) −4.88361 + 0.392110i −0.299433 + 0.0240418i
\(267\) 0.362417 + 0.544146i 0.0221795 + 0.0333012i
\(268\) 5.11458 5.68031i 0.312423 0.346980i
\(269\) 10.6458 1.11891i 0.649084 0.0682215i 0.225736 0.974189i \(-0.427521\pi\)
0.423348 + 0.905967i \(0.360855\pi\)
\(270\) −7.30691 + 21.2138i −0.444684 + 1.29103i
\(271\) −3.10292 2.79389i −0.188489 0.169716i 0.569483 0.822003i \(-0.307143\pi\)
−0.757973 + 0.652286i \(0.773810\pi\)
\(272\) 0.578128 1.77930i 0.0350542 0.107886i
\(273\) −14.5747 9.73656i −0.882099 0.589283i
\(274\) 13.2998i 0.803471i
\(275\) −26.1506 36.9353i −1.57694 2.22728i
\(276\) −4.25871 10.7209i −0.256344 0.645320i
\(277\) −4.95199 11.1223i −0.297536 0.668277i 0.701477 0.712692i \(-0.252524\pi\)
−0.999013 + 0.0444150i \(0.985858\pi\)
\(278\) 1.86570 + 8.77744i 0.111897 + 0.526436i
\(279\) −3.27238 + 1.99194i −0.195912 + 0.119254i
\(280\) 8.29933 + 7.85090i 0.495980 + 0.469181i
\(281\) 2.59579 1.88595i 0.154852 0.112507i −0.507661 0.861557i \(-0.669490\pi\)
0.662513 + 0.749050i \(0.269490\pi\)
\(282\) 1.80098 + 10.5753i 0.107247 + 0.629752i
\(283\) −14.9341 + 13.4467i −0.887738 + 0.799323i −0.980531 0.196362i \(-0.937087\pi\)
0.0927932 + 0.995685i \(0.470420\pi\)
\(284\) −0.607767 1.36507i −0.0360643 0.0810018i
\(285\) 2.00768 13.7031i 0.118924 0.811699i
\(286\) −8.37237 9.53043i −0.495068 0.563546i
\(287\) −8.27360 + 23.4817i −0.488375 + 1.38608i
\(288\) 1.15629 2.76821i 0.0681353 0.163118i
\(289\) 13.2049 2.80678i 0.776757 0.165105i
\(290\) −4.64914 + 21.8725i −0.273007 + 1.28440i
\(291\) 3.80973 6.01820i 0.223331 0.352793i
\(292\) −2.46385 + 5.53390i −0.144186 + 0.323847i
\(293\) −1.89733 5.83938i −0.110843 0.341141i 0.880214 0.474577i \(-0.157399\pi\)
−0.991057 + 0.133436i \(0.957399\pi\)
\(294\) −12.0753 1.08923i −0.704248 0.0635250i
\(295\) 0.988911 + 0.718486i 0.0575766 + 0.0418318i
\(296\) −2.32395 4.02520i −0.135077 0.233960i
\(297\) −1.29009 17.1853i −0.0748586 0.997194i
\(298\) 2.20750 3.82350i 0.127877 0.221490i
\(299\) −2.66278 + 25.3347i −0.153993 + 1.46514i
\(300\) −19.6704 + 13.1011i −1.13567 + 0.756390i
\(301\) −0.188841 + 7.67473i −0.0108846 + 0.442364i
\(302\) 3.28138 + 4.51643i 0.188822 + 0.259891i
\(303\) 16.0590 + 30.6338i 0.922568 + 1.75986i
\(304\) −0.385005 + 1.81130i −0.0220815 + 0.103885i
\(305\) −27.7436 30.8124i −1.58859 1.76431i
\(306\) −5.56673 + 0.716024i −0.318229 + 0.0409324i
\(307\) 20.2358i 1.15492i 0.816419 + 0.577460i \(0.195956\pi\)
−0.816419 + 0.577460i \(0.804044\pi\)
\(308\) −8.23996 3.01713i −0.469515 0.171917i
\(309\) −13.5870 10.7439i −0.772936 0.611201i
\(310\) −5.48382 0.576373i −0.311460 0.0327358i
\(311\) −8.41084 + 7.57316i −0.476935 + 0.429434i −0.872212 0.489128i \(-0.837315\pi\)
0.395277 + 0.918562i \(0.370649\pi\)
\(312\) −5.09977 + 4.22861i −0.288718 + 0.239398i
\(313\) 7.01174 + 3.12183i 0.396327 + 0.176456i 0.595216 0.803566i \(-0.297067\pi\)
−0.198889 + 0.980022i \(0.563733\pi\)
\(314\) 7.26492 5.27827i 0.409983 0.297870i
\(315\) 10.6365 32.5807i 0.599297 1.83572i
\(316\) −3.94075 1.28043i −0.221684 0.0720296i
\(317\) 29.0730 + 3.05569i 1.63290 + 0.171625i 0.876137 0.482063i \(-0.160112\pi\)
0.756765 + 0.653688i \(0.226779\pi\)
\(318\) −8.11292 20.4234i −0.454950 1.14529i
\(319\) −3.36514 16.8426i −0.188412 0.943003i
\(320\) 3.73949 2.15900i 0.209044 0.120692i
\(321\) −3.98626 14.2152i −0.222491 0.793413i
\(322\) 6.76902 + 16.2691i 0.377223 + 0.906644i
\(323\) 3.29485 1.07056i 0.183330 0.0595676i
\(324\) −8.99031 + 0.417513i −0.499462 + 0.0231952i
\(325\) 51.9046 5.45540i 2.87915 0.302611i
\(326\) 16.2761 + 3.45959i 0.901450 + 0.191609i
\(327\) −0.462495 + 0.934340i −0.0255761 + 0.0516691i
\(328\) 7.61289 + 5.53109i 0.420351 + 0.305403i
\(329\) −3.01168 16.1075i −0.166039 0.888037i
\(330\) 13.5230 20.7946i 0.744415 1.14471i
\(331\) 8.06414 + 13.9675i 0.443245 + 0.767723i 0.997928 0.0643388i \(-0.0204938\pi\)
−0.554683 + 0.832062i \(0.687161\pi\)
\(332\) 4.80165 2.13783i 0.263525 0.117329i
\(333\) −7.93197 + 11.4678i −0.434670 + 0.628433i
\(334\) 3.25665 3.61688i 0.178196 0.197907i
\(335\) −19.3999 26.7017i −1.05993 1.45887i
\(336\) −1.69772 + 4.25649i −0.0926182 + 0.232211i
\(337\) 17.8788 5.80917i 0.973920 0.316446i 0.221523 0.975155i \(-0.428897\pi\)
0.752397 + 0.658709i \(0.228897\pi\)
\(338\) 1.59399 0.338813i 0.0867017 0.0184290i
\(339\) −1.25967 + 4.92921i −0.0684160 + 0.267718i
\(340\) −6.99608 4.03919i −0.379415 0.219056i
\(341\) 4.04371 1.25939i 0.218979 0.0681999i
\(342\) 5.40565 1.28078i 0.292304 0.0692565i
\(343\) 18.4698 + 1.36559i 0.997278 + 0.0737347i
\(344\) 2.75964 + 0.896660i 0.148790 + 0.0483447i
\(345\) −49.1043 + 8.36245i −2.64369 + 0.450219i
\(346\) 1.51516 + 14.4158i 0.0814557 + 0.775000i
\(347\) −0.842256 8.01353i −0.0452147 0.430189i −0.993590 0.113040i \(-0.963941\pi\)
0.948376 0.317149i \(-0.102726\pi\)
\(348\) −8.84228 + 1.50584i −0.473996 + 0.0807214i
\(349\) −29.0378 9.43496i −1.55436 0.505042i −0.599065 0.800701i \(-0.704461\pi\)
−0.955294 + 0.295659i \(0.904461\pi\)
\(350\) 29.7198 20.4950i 1.58859 1.09551i
\(351\) 18.0116 + 8.40119i 0.961390 + 0.448422i
\(352\) −1.98215 + 2.65915i −0.105649 + 0.141733i
\(353\) −11.9037 6.87258i −0.633568 0.365791i 0.148565 0.988903i \(-0.452535\pi\)
−0.782133 + 0.623112i \(0.785868\pi\)
\(354\) −0.121401 + 0.475051i −0.00645237 + 0.0252487i
\(355\) −6.31117 + 1.34148i −0.334962 + 0.0711984i
\(356\) −0.358991 + 0.116643i −0.0190265 + 0.00618208i
\(357\) 8.48454 1.23099i 0.449049 0.0651508i
\(358\) 1.34343 + 1.84908i 0.0710026 + 0.0977267i
\(359\) −1.72698 + 1.91800i −0.0911463 + 0.101228i −0.786992 0.616963i \(-0.788363\pi\)
0.695846 + 0.718191i \(0.255030\pi\)
\(360\) −10.6538 7.36896i −0.561506 0.388378i
\(361\) 14.2248 6.33328i 0.748672 0.333330i
\(362\) 0.704543 + 1.22030i 0.0370300 + 0.0641378i
\(363\) −3.22243 + 18.7781i −0.169134 + 0.985593i
\(364\) 7.68465 6.58433i 0.402785 0.345113i
\(365\) 21.1612 + 15.3745i 1.10763 + 0.804740i
\(366\) 7.37810 14.9053i 0.385659 0.779115i
\(367\) −0.145281 0.0308803i −0.00758358 0.00161194i 0.204118 0.978946i \(-0.434567\pi\)
−0.211702 + 0.977334i \(0.567901\pi\)
\(368\) 6.62368 0.696177i 0.345283 0.0362907i
\(369\) 5.22713 27.7420i 0.272114 1.44419i
\(370\) −19.0873 + 6.20185i −0.992304 + 0.322419i
\(371\) 12.8951 + 30.9930i 0.669481 + 1.60908i
\(372\) −0.597206 2.12966i −0.0309637 0.110418i
\(373\) 3.03976 1.75501i 0.157393 0.0908707i −0.419235 0.907878i \(-0.637702\pi\)
0.576628 + 0.817007i \(0.304368\pi\)
\(374\) 6.16256 + 0.724054i 0.318658 + 0.0374399i
\(375\) 23.8695 + 60.0890i 1.23261 + 3.10298i
\(376\) −6.15965 0.647405i −0.317660 0.0333874i
\(377\) 18.8380 + 6.12083i 0.970206 + 0.315239i
\(378\) 13.7208 0.859560i 0.705723 0.0442110i
\(379\) 10.3794 7.54109i 0.533155 0.387360i −0.288382 0.957516i \(-0.593117\pi\)
0.821537 + 0.570156i \(0.193117\pi\)
\(380\) 7.30464 + 3.25224i 0.374720 + 0.166836i
\(381\) −10.0090 + 8.29926i −0.512779 + 0.425184i
\(382\) −3.21681 + 2.89643i −0.164586 + 0.148194i
\(383\) 14.5926 + 1.53374i 0.745645 + 0.0783705i 0.469728 0.882811i \(-0.344352\pi\)
0.275917 + 0.961181i \(0.411019\pi\)
\(384\) 1.35861 + 1.07433i 0.0693314 + 0.0548239i
\(385\) −20.1408 + 32.0939i −1.02647 + 1.63566i
\(386\) 17.7116i 0.901498i
\(387\) −1.11053 8.63383i −0.0564515 0.438882i
\(388\) 2.75166 + 3.05603i 0.139694 + 0.155146i
\(389\) 1.94848 9.16687i 0.0987917 0.464779i −0.900745 0.434348i \(-0.856979\pi\)
0.999537 0.0304306i \(-0.00968786\pi\)
\(390\) 13.2817 + 25.3358i 0.672547 + 1.28293i
\(391\) −7.32396 10.0806i −0.370388 0.509796i
\(392\) 2.48792 6.54295i 0.125659 0.330469i
\(393\) −6.33813 + 4.22137i −0.319716 + 0.212940i
\(394\) 2.17978 20.7392i 0.109816 1.04483i
\(395\) −8.94590 + 15.4948i −0.450117 + 0.779626i
\(396\) 9.75455 + 1.96184i 0.490184 + 0.0985860i
\(397\) −0.775753 1.34364i −0.0389339 0.0674356i 0.845902 0.533339i \(-0.179063\pi\)
−0.884836 + 0.465903i \(0.845730\pi\)
\(398\) 13.4630 + 9.78145i 0.674839 + 0.490300i
\(399\) −8.22458 + 2.08958i −0.411744 + 0.104610i
\(400\) −4.21656 12.9772i −0.210828 0.648861i
\(401\) 3.46856 7.79050i 0.173211 0.389039i −0.805990 0.591929i \(-0.798367\pi\)
0.979202 + 0.202890i \(0.0650333\pi\)
\(402\) 7.08125 11.1862i 0.353181 0.557916i
\(403\) −1.01550 + 4.77758i −0.0505859 + 0.237988i
\(404\) −19.5329 + 4.15185i −0.971800 + 0.206562i
\(405\) −6.30773 + 38.3466i −0.313434 + 1.90546i
\(406\) 13.4679 2.51813i 0.668400 0.124973i
\(407\) 11.5812 10.1739i 0.574059 0.504303i
\(408\) 0.469750 3.20620i 0.0232561 0.158731i
\(409\) −0.531107 1.19289i −0.0262615 0.0589844i 0.899939 0.436017i \(-0.143611\pi\)
−0.926200 + 0.377032i \(0.876945\pi\)
\(410\) 30.1958 27.1885i 1.49127 1.34274i
\(411\) −3.86734 22.7090i −0.190762 1.12015i
\(412\) 8.09069 5.87823i 0.398599 0.289599i
\(413\) 0.173694 0.728554i 0.00854692 0.0358498i
\(414\) −10.3890 17.0672i −0.510593 0.838806i
\(415\) −4.71868 22.1997i −0.231631 1.08974i
\(416\) −1.55571 3.49419i −0.0762751 0.171317i
\(417\) 5.73794 + 14.4447i 0.280988 + 0.707359i
\(418\) −6.14116 0.0751495i −0.300374 0.00367568i
\(419\) 13.8898i 0.678560i −0.940685 0.339280i \(-0.889817\pi\)
0.940685 0.339280i \(-0.110183\pi\)
\(420\) 16.4537 + 10.9919i 0.802860 + 0.536348i
\(421\) 2.64867 8.15177i 0.129088 0.397293i −0.865535 0.500848i \(-0.833022\pi\)
0.994624 + 0.103555i \(0.0330217\pi\)
\(422\) −8.98553 8.09061i −0.437409 0.393845i
\(423\) 6.15022 + 17.5334i 0.299034 + 0.852501i
\(424\) 12.6182 1.32623i 0.612796 0.0644074i
\(425\) −17.0816 + 18.9710i −0.828579 + 0.920230i
\(426\) −1.43468 2.15408i −0.0695104 0.104366i
\(427\) −10.9009 + 22.9474i −0.527531 + 1.11050i
\(428\) 8.52371 0.412009
\(429\) −17.0668 13.8384i −0.823994 0.668123i
\(430\) 6.26466 10.8507i 0.302109 0.523268i
\(431\) −3.14269 + 1.39921i −0.151378 + 0.0673978i −0.481027 0.876706i \(-0.659736\pi\)
0.329649 + 0.944103i \(0.393070\pi\)
\(432\) 1.16939 5.06286i 0.0562624 0.243587i
\(433\) 2.61109 + 8.03611i 0.125481 + 0.386191i 0.993988 0.109485i \(-0.0349203\pi\)
−0.868507 + 0.495676i \(0.834920\pi\)
\(434\) 0.964688 + 3.23794i 0.0463065 + 0.155426i
\(435\) −1.57815 + 38.6985i −0.0756665 + 1.85545i
\(436\) −0.447308 0.402758i −0.0214221 0.0192886i
\(437\) 8.25245 + 9.16528i 0.394768 + 0.438435i
\(438\) −2.59779 + 10.1654i −0.124127 + 0.485722i
\(439\) 14.2511 8.22787i 0.680168 0.392695i −0.119751 0.992804i \(-0.538209\pi\)
0.799918 + 0.600109i \(0.204876\pi\)
\(440\) 9.45179 + 10.7592i 0.450596 + 0.512923i
\(441\) −20.9350 + 1.65146i −0.996903 + 0.0786409i
\(442\) −4.20607 + 5.78916i −0.200063 + 0.275362i
\(443\) 5.48140 + 25.7880i 0.260429 + 1.22522i 0.892763 + 0.450527i \(0.148764\pi\)
−0.632334 + 0.774696i \(0.717903\pi\)
\(444\) −5.13853 6.19714i −0.243864 0.294103i
\(445\) 0.170370 + 1.62096i 0.00807632 + 0.0768411i
\(446\) 13.6923 + 6.09620i 0.648348 + 0.288663i
\(447\) 2.65743 7.17041i 0.125692 0.339149i
\(448\) −2.10156 1.60731i −0.0992892 0.0759385i
\(449\) −18.2425 + 25.1086i −0.860917 + 1.18495i 0.120433 + 0.992721i \(0.461572\pi\)
−0.981350 + 0.192229i \(0.938428\pi\)
\(450\) −29.7771 + 28.0894i −1.40370 + 1.32415i
\(451\) −13.0420 + 28.3539i −0.614124 + 1.33513i
\(452\) −2.54381 1.46867i −0.119651 0.0690805i
\(453\) 6.91614 + 6.75750i 0.324949 + 0.317495i
\(454\) −2.26572 + 6.97318i −0.106336 + 0.327267i
\(455\) −20.9108 38.3683i −0.980314 1.79873i
\(456\) −0.130690 + 3.20469i −0.00612011 + 0.150074i
\(457\) −2.98129 + 6.69610i −0.139459 + 0.313230i −0.969750 0.244100i \(-0.921508\pi\)
0.830291 + 0.557330i \(0.188174\pi\)
\(458\) 15.2535 + 3.24223i 0.712749 + 0.151500i
\(459\) −9.29680 + 2.84129i −0.433938 + 0.132620i
\(460\) 3.00609 28.6010i 0.140160 1.33353i
\(461\) 15.0082 0.699002 0.349501 0.936936i \(-0.386351\pi\)
0.349501 + 0.936936i \(0.386351\pi\)
\(462\) −14.9468 2.75562i −0.695388 0.128203i
\(463\) 26.8294 1.24687 0.623434 0.781876i \(-0.285737\pi\)
0.623434 + 0.781876i \(0.285737\pi\)
\(464\) 0.541311 5.15023i 0.0251297 0.239093i
\(465\) −9.53104 + 0.610454i −0.441992 + 0.0283091i
\(466\) −12.7520 2.71052i −0.590724 0.125562i
\(467\) 0.289655 0.650576i 0.0134036 0.0301051i −0.906720 0.421734i \(-0.861422\pi\)
0.920123 + 0.391629i \(0.128088\pi\)
\(468\) −7.47809 + 8.70313i −0.345675 + 0.402302i
\(469\) −10.5393 + 17.2597i −0.486660 + 0.796979i
\(470\) −8.26430 + 25.4349i −0.381204 + 1.17322i
\(471\) 10.8698 11.1250i 0.500854 0.512612i
\(472\) −0.245159 0.141543i −0.0112844 0.00651503i
\(473\) −1.12299 + 9.55795i −0.0516350 + 0.439475i
\(474\) −7.10102 1.04039i −0.326161 0.0477867i
\(475\) 14.8519 20.4418i 0.681451 0.937936i
\(476\) −0.638332 + 4.90851i −0.0292579 + 0.224981i
\(477\) −19.7913 32.5133i −0.906181 1.48868i
\(478\) −5.90081 2.62721i −0.269897 0.120166i
\(479\) −2.82997 26.9253i −0.129305 1.23025i −0.846122 0.532989i \(-0.821069\pi\)
0.716817 0.697261i \(-0.245598\pi\)
\(480\) 5.75727 4.77379i 0.262782 0.217893i
\(481\) 3.69617 + 17.3891i 0.168531 + 0.792876i
\(482\) 9.06593 12.4782i 0.412942 0.568366i
\(483\) 16.2887 + 25.8107i 0.741159 + 1.17443i
\(484\) −9.93651 4.71867i −0.451659 0.214485i
\(485\) 15.3779 8.87842i 0.698273 0.403148i
\(486\) −15.2293 + 3.32710i −0.690813 + 0.150920i
\(487\) 24.2545 + 26.9374i 1.09908 + 1.22065i 0.973530 + 0.228561i \(0.0734019\pi\)
0.125547 + 0.992088i \(0.459931\pi\)
\(488\) 7.13581 + 6.42511i 0.323023 + 0.290851i
\(489\) 28.7969 + 1.17436i 1.30224 + 0.0531063i
\(490\) −25.4015 16.3821i −1.14752 0.740067i
\(491\) 6.19751 + 19.0740i 0.279690 + 0.860797i 0.987940 + 0.154836i \(0.0494848\pi\)
−0.708250 + 0.705961i \(0.750515\pi\)
\(492\) 14.6071 + 7.23047i 0.658539 + 0.325975i
\(493\) −8.85083 + 3.94064i −0.398621 + 0.177478i
\(494\) 3.54139 6.13386i 0.159334 0.275975i
\(495\) 17.0433 39.4384i 0.766041 1.77262i
\(496\) 1.27699 0.0573385
\(497\) 2.24438 + 3.25457i 0.100674 + 0.145988i
\(498\) 7.57701 5.04650i 0.339534 0.226139i
\(499\) 29.2875 32.5271i 1.31109 1.45611i 0.506551 0.862210i \(-0.330920\pi\)
0.804537 0.593902i \(-0.202413\pi\)
\(500\) −37.1248 + 3.90198i −1.66027 + 0.174502i
\(501\) 4.50891 7.12268i 0.201443 0.318218i
\(502\) 9.72020 + 8.75211i 0.433834 + 0.390626i
\(503\) −6.83567 + 21.0380i −0.304788 + 0.938040i 0.674969 + 0.737846i \(0.264157\pi\)
−0.979756 + 0.200193i \(0.935843\pi\)
\(504\) −1.66109 + 7.76149i −0.0739909 + 0.345724i
\(505\) 86.2273i 3.83707i
\(506\) 6.56839 + 21.0901i 0.292001 + 0.937569i
\(507\) 2.62317 1.04201i 0.116499 0.0462775i
\(508\) −3.05331 6.85785i −0.135469 0.304268i
\(509\) −1.91402 9.00475i −0.0848374 0.399129i 0.915155 0.403103i \(-0.132068\pi\)
−0.999992 + 0.00397414i \(0.998735\pi\)
\(510\) −13.1201 4.86245i −0.580967 0.215313i
\(511\) 3.71679 15.5900i 0.164421 0.689661i
\(512\) −0.809017 + 0.587785i −0.0357538 + 0.0259767i
\(513\) 8.85755 3.75875i 0.391070 0.165953i
\(514\) −12.1156 + 10.9090i −0.534397 + 0.481174i
\(515\) −17.5640 39.4493i −0.773961 1.73835i
\(516\) 4.97272 + 0.728568i 0.218912 + 0.0320734i
\(517\) −1.89707 20.4540i −0.0834328 0.899566i
\(518\) 8.00115 + 9.33824i 0.351550 + 0.410299i
\(519\) 6.77895 + 24.1740i 0.297563 + 1.06112i
\(520\) −16.1548 + 3.43382i −0.708436 + 0.150583i
\(521\) −2.87855 + 13.5425i −0.126112 + 0.593308i 0.869022 + 0.494773i \(0.164749\pi\)
−0.995134 + 0.0985349i \(0.968584\pi\)
\(522\) −14.6600 + 5.14234i −0.641653 + 0.225074i
\(523\) −8.12513 + 18.2494i −0.355287 + 0.797988i 0.644165 + 0.764887i \(0.277205\pi\)
−0.999452 + 0.0331016i \(0.989462\pi\)
\(524\) −1.35864 4.18147i −0.0593526 0.182669i
\(525\) 44.7861 43.6366i 1.95462 1.90446i
\(526\) 16.4237 + 11.9325i 0.716107 + 0.520282i
\(527\) −1.19453 2.06900i −0.0520348 0.0901268i
\(528\) −2.61122 + 5.11679i −0.113639 + 0.222680i
\(529\) 10.6789 18.4964i 0.464301 0.804192i
\(530\) 5.72665 54.4855i 0.248750 2.36670i
\(531\) −0.0691515 + 0.846436i −0.00300092 + 0.0367322i
\(532\) 0.120514 4.89784i 0.00522494 0.212348i
\(533\) −21.1557 29.1183i −0.916354 1.26125i
\(534\) −0.579048 + 0.303552i −0.0250579 + 0.0131360i
\(535\) 7.65226 36.0010i 0.330836 1.55646i
\(536\) 5.11458 + 5.68031i 0.220916 + 0.245352i
\(537\) 2.83154 + 2.76659i 0.122190 + 0.119387i
\(538\) 10.7044i 0.461500i
\(539\) 22.8966 + 3.83984i 0.986228 + 0.165394i
\(540\) −20.3338 9.48433i −0.875028 0.408140i
\(541\) −21.3541 2.24440i −0.918082 0.0964944i −0.366314 0.930491i \(-0.619380\pi\)
−0.551769 + 0.833997i \(0.686047\pi\)
\(542\) 3.10292 2.79389i 0.133282 0.120008i
\(543\) 1.55783 + 1.87876i 0.0668527 + 0.0806254i
\(544\) 1.70912 + 0.760948i 0.0732778 + 0.0326254i
\(545\) −2.10268 + 1.52768i −0.0900687 + 0.0654388i
\(546\) 11.2067 13.4771i 0.479602 0.576766i
\(547\) −29.3339 9.53116i −1.25423 0.407523i −0.394793 0.918770i \(-0.629184\pi\)
−0.859434 + 0.511247i \(0.829184\pi\)
\(548\) 13.2270 + 1.39021i 0.565028 + 0.0593868i
\(549\) 8.26367 27.5958i 0.352685 1.17776i
\(550\) 39.4664 22.1465i 1.68285 0.944331i
\(551\) 8.30481 4.79478i 0.353797 0.204265i
\(552\) 11.1073 3.11474i 0.472758 0.132572i
\(553\) 10.8712 + 1.41376i 0.462292 + 0.0601193i
\(554\) 11.5790 3.76226i 0.491946 0.159843i
\(555\) −30.7876 + 16.1397i −1.30686 + 0.685092i
\(556\) −8.92437 + 0.937989i −0.378478 + 0.0397796i
\(557\) 15.3305 + 3.25860i 0.649575 + 0.138071i 0.520903 0.853616i \(-0.325595\pi\)
0.128672 + 0.991687i \(0.458929\pi\)
\(558\) −1.63897 3.46267i −0.0693833 0.146586i
\(559\) −8.97882 6.52350i −0.379764 0.275915i
\(560\) −8.67540 + 7.43322i −0.366603 + 0.314111i
\(561\) 10.7329 0.555658i 0.453144 0.0234599i
\(562\) 1.60429 + 2.77871i 0.0676728 + 0.117213i
\(563\) 5.03519 2.24181i 0.212208 0.0944811i −0.297880 0.954603i \(-0.596279\pi\)
0.510088 + 0.860122i \(0.329613\pi\)
\(564\) −10.7057 + 0.685687i −0.450789 + 0.0288726i
\(565\) −8.48687 + 9.42562i −0.357045 + 0.396539i
\(566\) −11.8120 16.2578i −0.496495 0.683367i
\(567\) 23.1779 5.45743i 0.973382 0.229191i
\(568\) 1.42112 0.461749i 0.0596288 0.0193746i
\(569\) 16.1198 3.42637i 0.675778 0.143641i 0.142776 0.989755i \(-0.454397\pi\)
0.533002 + 0.846114i \(0.321064\pi\)
\(570\) 13.4181 + 3.42904i 0.562024 + 0.143627i
\(571\) 12.5956 + 7.27209i 0.527111 + 0.304328i 0.739839 0.672784i \(-0.234902\pi\)
−0.212728 + 0.977111i \(0.568235\pi\)
\(572\) 10.3534 7.33030i 0.432896 0.306495i
\(573\) −4.65037 + 5.88094i −0.194272 + 0.245680i
\(574\) −22.4882 10.6828i −0.938641 0.445891i
\(575\) −86.4305 28.0830i −3.60440 1.17114i
\(576\) 2.63218 + 1.43932i 0.109674 + 0.0599715i
\(577\) 2.30481 + 21.9288i 0.0959507 + 0.912910i 0.931561 + 0.363586i \(0.118448\pi\)
−0.835610 + 0.549323i \(0.814886\pi\)
\(578\) 1.41112 + 13.4259i 0.0586949 + 0.558445i
\(579\) −5.15021 30.2420i −0.214035 1.25682i
\(580\) −21.2667 6.90997i −0.883052 0.286921i
\(581\) −11.4480 + 7.89466i −0.474944 + 0.327526i
\(582\) 5.58700 + 4.41794i 0.231589 + 0.183129i
\(583\) 12.5129 + 40.1770i 0.518232 + 1.66396i
\(584\) −5.24604 3.02880i −0.217083 0.125333i
\(585\) 30.0453 + 39.3981i 1.24222 + 1.62891i
\(586\) 6.00572 1.27656i 0.248094 0.0527340i
\(587\) −24.3744 + 7.91972i −1.00604 + 0.326882i −0.765276 0.643702i \(-0.777397\pi\)
−0.240762 + 0.970584i \(0.577397\pi\)
\(588\) 2.34548 11.8953i 0.0967258 0.490555i
\(589\) 1.38993 + 1.91307i 0.0572710 + 0.0788268i
\(590\) −0.817919 + 0.908391i −0.0336732 + 0.0373979i
\(591\) −2.30867 36.0454i −0.0949660 1.48271i
\(592\) 4.24607 1.89047i 0.174512 0.0776980i
\(593\) −5.51747 9.55654i −0.226575 0.392440i 0.730215 0.683217i \(-0.239420\pi\)
−0.956791 + 0.290777i \(0.906086\pi\)
\(594\) 17.2260 + 0.513333i 0.706793 + 0.0210623i
\(595\) 20.1587 + 7.10275i 0.826425 + 0.291184i
\(596\) 3.57181 + 2.59507i 0.146307 + 0.106298i
\(597\) 25.8319 + 12.7867i 1.05723 + 0.523325i
\(598\) −24.9176 5.29639i −1.01896 0.216586i
\(599\) 24.6888 2.59489i 1.00876 0.106025i 0.414290 0.910145i \(-0.364030\pi\)
0.594466 + 0.804121i \(0.297363\pi\)
\(600\) −10.9732 20.9321i −0.447978 0.854550i
\(601\) 36.2245 11.7701i 1.47763 0.480111i 0.544226 0.838939i \(-0.316823\pi\)
0.933404 + 0.358828i \(0.116823\pi\)
\(602\) −7.61295 0.990034i −0.310281 0.0403508i
\(603\) 8.83828 21.1591i 0.359922 0.861667i
\(604\) −4.83469 + 2.79131i −0.196721 + 0.113577i
\(605\) −28.8505 + 37.7319i −1.17294 + 1.53402i
\(606\) −32.1446 + 12.7690i −1.30578 + 0.518704i
\(607\) −43.5289 4.57507i −1.76678 0.185696i −0.835377 0.549677i \(-0.814751\pi\)
−0.931406 + 0.363981i \(0.881417\pi\)
\(608\) −1.76114 0.572228i −0.0714236 0.0232069i
\(609\) 22.2638 8.21584i 0.902173 0.332923i
\(610\) 33.5436 24.3708i 1.35814 0.986746i
\(611\) 21.6415 + 9.63543i 0.875523 + 0.389808i
\(612\) −0.130220 5.61108i −0.00526383 0.226814i
\(613\) −22.1356 + 19.9310i −0.894047 + 0.805004i −0.981559 0.191160i \(-0.938775\pi\)
0.0875119 + 0.996163i \(0.472108\pi\)
\(614\) −20.1250 2.11522i −0.812178 0.0853633i
\(615\) 43.6525 55.2038i 1.76024 2.22603i
\(616\) 3.86191 7.87945i 0.155601 0.317472i
\(617\) 39.8641i 1.60487i −0.596742 0.802433i \(-0.703538\pi\)
0.596742 0.802433i \(-0.296462\pi\)
\(618\) 12.1053 12.3895i 0.486947 0.498379i
\(619\) −18.3614 20.3924i −0.738006 0.819639i 0.250926 0.968006i \(-0.419265\pi\)
−0.988932 + 0.148367i \(0.952598\pi\)
\(620\) 1.14643 5.39353i 0.0460418 0.216609i
\(621\) −22.7017 26.1207i −0.910990 1.04819i
\(622\) −6.65250 9.15638i −0.266741 0.367137i
\(623\) 0.876903 0.477914i 0.0351324 0.0191472i
\(624\) −3.67237 5.51384i −0.147013 0.220730i
\(625\) −9.71722 + 92.4532i −0.388689 + 3.69813i
\(626\) −3.83765 + 6.64701i −0.153383 + 0.265668i
\(627\) −10.5077 + 1.65742i −0.419637 + 0.0661910i
\(628\) 4.48997 + 7.77685i 0.179169 + 0.310330i
\(629\) −7.03488 5.11114i −0.280499 0.203795i
\(630\) 31.2904 + 13.9838i 1.24664 + 0.557129i
\(631\) −5.16165 15.8859i −0.205482 0.632409i −0.999693 0.0247669i \(-0.992116\pi\)
0.794211 0.607642i \(-0.207884\pi\)
\(632\) 1.68533 3.78532i 0.0670389 0.150572i
\(633\) −17.6951 11.2016i −0.703317 0.445225i
\(634\) −6.07791 + 28.5943i −0.241385 + 1.13563i
\(635\) −31.7062 + 6.73936i −1.25822 + 0.267443i
\(636\) 21.1596 5.93364i 0.839032 0.235284i
\(637\) −16.7837 + 20.8605i −0.664993 + 0.826522i
\(638\) 17.1021 1.58618i 0.677077 0.0627975i
\(639\) −3.07603 3.26085i −0.121686 0.128997i
\(640\) 1.75629 + 3.94468i 0.0694233 + 0.155927i
\(641\) −19.4621 + 17.5237i −0.768706 + 0.692146i −0.957039 0.289959i \(-0.906358\pi\)
0.188333 + 0.982105i \(0.439692\pi\)
\(642\) 14.5540 2.47854i 0.574399 0.0978200i
\(643\) −32.7834 + 23.8185i −1.29285 + 0.939310i −0.999859 0.0168053i \(-0.994650\pi\)
−0.292991 + 0.956115i \(0.594650\pi\)
\(644\) −16.8876 + 5.03135i −0.665464 + 0.198263i
\(645\) 7.54152 20.3489i 0.296947 0.801237i
\(646\) 0.720291 + 3.38870i 0.0283395 + 0.133327i
\(647\) −9.93730 22.3195i −0.390676 0.877472i −0.996634 0.0819756i \(-0.973877\pi\)
0.605959 0.795496i \(-0.292790\pi\)
\(648\) 0.524517 8.98470i 0.0206050 0.352952i
\(649\) 0.301037 0.889319i 0.0118167 0.0349088i
\(650\) 52.1905i 2.04708i
\(651\) 2.58871 + 5.24817i 0.101459 + 0.205692i
\(652\) −5.14196 + 15.8253i −0.201375 + 0.619767i
\(653\) −7.12248 6.41311i −0.278724 0.250965i 0.517897 0.855443i \(-0.326715\pi\)
−0.796622 + 0.604478i \(0.793382\pi\)
\(654\) −0.880877 0.557627i −0.0344450 0.0218049i
\(655\) −18.8808 + 1.98445i −0.737732 + 0.0775388i
\(656\) −6.29655 + 6.99303i −0.245839 + 0.273032i
\(657\) −1.47974 + 18.1125i −0.0577302 + 0.706635i
\(658\) 16.3341 1.31148i 0.636770 0.0511269i
\(659\) −20.2379 −0.788355 −0.394177 0.919034i \(-0.628970\pi\)
−0.394177 + 0.919034i \(0.628970\pi\)
\(660\) 19.2672 + 15.6225i 0.749974 + 0.608105i
\(661\) 18.5004 32.0436i 0.719582 1.24635i −0.241583 0.970380i \(-0.577667\pi\)
0.961165 0.275973i \(-0.0890000\pi\)
\(662\) −14.7339 + 6.55996i −0.572650 + 0.254960i
\(663\) −5.49836 + 11.1079i −0.213538 + 0.431393i
\(664\) 1.62421 + 4.99881i 0.0630316 + 0.193991i
\(665\) −20.5785 4.90610i −0.798000 0.190250i
\(666\) −10.5759 9.08724i −0.409807 0.352123i
\(667\) −25.6313 23.0785i −0.992448 0.893604i
\(668\) 3.25665 + 3.61688i 0.126004 + 0.139941i
\(669\) 25.1518 + 6.42760i 0.972425 + 0.248505i
\(670\) 28.5832 16.5025i 1.10427 0.637549i
\(671\) −16.2597 + 27.3833i −0.627699 + 1.05712i
\(672\) −4.05572 2.13334i −0.156453 0.0822955i
\(673\) 18.7665 25.8299i 0.723396 0.995669i −0.276008 0.961155i \(-0.589012\pi\)
0.999404 0.0345139i \(-0.0109883\pi\)
\(674\) 3.90851 + 18.3881i 0.150550 + 0.708282i
\(675\) −42.6755 + 56.6204i −1.64258 + 2.17932i
\(676\) 0.170340 + 1.62067i 0.00655153 + 0.0623336i
\(677\) 24.1465 + 10.7507i 0.928027 + 0.413184i 0.814377 0.580337i \(-0.197079\pi\)
0.113650 + 0.993521i \(0.463746\pi\)
\(678\) −4.77054 1.76802i −0.183211 0.0679002i
\(679\) −8.64221 6.60974i −0.331658 0.253659i
\(680\) 4.74835 6.53554i 0.182091 0.250627i
\(681\) −1.84098 + 12.5653i −0.0705465 + 0.481504i
\(682\) 0.829810 + 4.15320i 0.0317751 + 0.159034i
\(683\) −17.5805 10.1501i −0.672698 0.388383i 0.124400 0.992232i \(-0.460299\pi\)
−0.797098 + 0.603850i \(0.793633\pi\)
\(684\) 0.708717 + 5.50992i 0.0270985 + 0.210677i
\(685\) 17.7464 54.6178i 0.678055 2.08684i
\(686\) −3.28873 + 18.2259i −0.125564 + 0.695869i
\(687\) 26.9876 + 1.10058i 1.02964 + 0.0419896i
\(688\) −1.18021 + 2.65079i −0.0449950 + 0.101061i
\(689\) −47.4684 10.0897i −1.80840 0.384388i
\(690\) −3.18384 49.7094i −0.121207 1.89241i
\(691\) −2.04034 + 19.4126i −0.0776183 + 0.738489i 0.884626 + 0.466301i \(0.154414\pi\)
−0.962244 + 0.272188i \(0.912253\pi\)
\(692\) −14.4952 −0.551026
\(693\) −26.3224 0.358888i −0.999907 0.0136330i
\(694\) 8.05767 0.305865
\(695\) −4.05023 + 38.5354i −0.153634 + 1.46173i
\(696\) −0.573318 8.95125i −0.0217316 0.339296i
\(697\) 17.2202 + 3.66027i 0.652262 + 0.138642i
\(698\) 12.4185 27.8925i 0.470049 1.05575i
\(699\) −22.5618 0.920085i −0.853365 0.0348008i
\(700\) 17.2762 + 31.6993i 0.652979 + 1.19812i
\(701\) −13.7758 + 42.3975i −0.520305 + 1.60133i 0.253114 + 0.967437i \(0.418545\pi\)
−0.773418 + 0.633896i \(0.781455\pi\)
\(702\) −10.2379 + 17.0348i −0.386404 + 0.642937i
\(703\) 7.45375 + 4.30342i 0.281123 + 0.162307i
\(704\) −2.43739 2.24925i −0.0918627 0.0847717i
\(705\) −6.71503 + 45.8324i −0.252903 + 1.72615i
\(706\) 8.07920 11.1201i 0.304065 0.418509i
\(707\) 48.7801 20.2957i 1.83456 0.763298i
\(708\) −0.459759 0.170392i −0.0172788 0.00640372i
\(709\) 26.8623 + 11.9599i 1.00884 + 0.449162i 0.843531 0.537080i \(-0.180473\pi\)
0.165304 + 0.986243i \(0.447139\pi\)
\(710\) −0.674435 6.41682i −0.0253111 0.240819i
\(711\) −12.4273 + 0.288408i −0.466060 + 0.0108162i
\(712\) −0.0784795 0.369217i −0.00294114 0.0138370i
\(713\) 4.99909 6.88065i 0.187217 0.257683i
\(714\) 0.337370 + 8.56673i 0.0126258 + 0.320602i
\(715\) −21.6656 50.3097i −0.810249 1.88148i
\(716\) −1.97937 + 1.14279i −0.0739726 + 0.0427081i
\(717\) −10.8394 2.77003i −0.404804 0.103449i
\(718\) −1.72698 1.91800i −0.0644502 0.0715792i
\(719\) 21.2977 + 19.1765i 0.794269 + 0.715163i 0.962706 0.270550i \(-0.0872055\pi\)
−0.168437 + 0.985712i \(0.553872\pi\)
\(720\) 8.44222 9.82520i 0.314623 0.366164i
\(721\) −18.1830 + 19.2216i −0.677169 + 0.715849i
\(722\) 4.81169 + 14.8089i 0.179072 + 0.551128i
\(723\) 11.8514 23.9423i 0.440757 0.890423i
\(724\) −1.28726 + 0.573127i −0.0478408 + 0.0213001i
\(725\) −35.3311 + 61.1953i −1.31217 + 2.27274i
\(726\) −18.3384 5.16762i −0.680601 0.191788i
\(727\) −14.7463 −0.546910 −0.273455 0.961885i \(-0.588166\pi\)
−0.273455 + 0.961885i \(0.588166\pi\)
\(728\) 5.74499 + 8.33080i 0.212924 + 0.308760i
\(729\) −25.0360 + 10.1093i −0.927260 + 0.374419i
\(730\) −17.5023 + 19.4382i −0.647788 + 0.719441i
\(731\) 5.39886 0.567443i 0.199684 0.0209876i
\(732\) 14.0525 + 8.89571i 0.519394 + 0.328795i
\(733\) 15.9877 + 14.3954i 0.590519 + 0.531706i 0.909310 0.416119i \(-0.136610\pi\)
−0.318791 + 0.947825i \(0.603277\pi\)
\(734\) 0.0458971 0.141257i 0.00169409 0.00521388i
\(735\) −48.1358 20.5856i −1.77552 0.759311i
\(736\) 6.66017i 0.245497i
\(737\) −15.1508 + 20.3255i −0.558087 + 0.748701i
\(738\) 27.0436 + 8.09832i 0.995490 + 0.298103i
\(739\) −20.7536 46.6133i −0.763433 1.71470i −0.697180 0.716896i \(-0.745562\pi\)
−0.0662536 0.997803i \(-0.521105\pi\)
\(740\) −4.17271 19.6311i −0.153392 0.721652i
\(741\) 4.26319 11.5031i 0.156612 0.422578i
\(742\) −32.1711 + 9.58482i −1.18104 + 0.351870i
\(743\) 38.3659 27.8744i 1.40751 1.02261i 0.413827 0.910355i \(-0.364192\pi\)
0.993679 0.112258i \(-0.0358083\pi\)
\(744\) 2.18042 0.371324i 0.0799379 0.0136134i
\(745\) 14.1673 12.7563i 0.519049 0.467354i
\(746\) 1.42765 + 3.20655i 0.0522700 + 0.117400i
\(747\) 11.4701 10.8200i 0.419668 0.395883i
\(748\) −1.36425 + 6.05312i −0.0498819 + 0.221324i
\(749\) −22.1675 + 4.14472i −0.809982 + 0.151445i
\(750\) −62.2548 + 17.4577i −2.27323 + 0.637465i
\(751\) −37.0996 + 7.88576i −1.35378 + 0.287755i −0.826980 0.562232i \(-0.809943\pi\)
−0.526803 + 0.849987i \(0.676610\pi\)
\(752\) 1.28772 6.05823i 0.0469582 0.220921i
\(753\) 19.1419 + 12.1175i 0.697569 + 0.441586i
\(754\) −8.05641 + 18.0950i −0.293397 + 0.658981i
\(755\) 7.44907 + 22.9259i 0.271099 + 0.834358i
\(756\) −0.579366 + 13.7355i −0.0210713 + 0.499556i
\(757\) −39.1289 28.4288i −1.42216 1.03326i −0.991410 0.130793i \(-0.958248\pi\)
−0.430754 0.902469i \(-0.641752\pi\)
\(758\) 6.41483 + 11.1108i 0.232997 + 0.403563i
\(759\) 17.3479 + 34.1007i 0.629690 + 1.23778i
\(760\) −3.99796 + 6.92468i −0.145021 + 0.251184i
\(761\) 1.35625 12.9038i 0.0491640 0.467764i −0.942048 0.335479i \(-0.891102\pi\)
0.991212 0.132285i \(-0.0422315\pi\)
\(762\) −7.20757 10.8217i −0.261103 0.392029i
\(763\) 1.35915 + 0.829938i 0.0492045 + 0.0300458i
\(764\) −2.54431 3.50194i −0.0920499 0.126696i
\(765\) −23.8160 4.48741i −0.861071 0.162242i
\(766\) −3.05068 + 14.3523i −0.110225 + 0.518570i
\(767\) 0.724510 + 0.804650i 0.0261605 + 0.0290542i
\(768\) −1.21045 + 1.23887i −0.0436785 + 0.0447039i
\(769\) 23.5374i 0.848781i −0.905479 0.424390i \(-0.860488\pi\)
0.905479 0.424390i \(-0.139512\pi\)
\(770\) −29.8128 23.3852i −1.07438 0.842742i
\(771\) −17.5149 + 22.1497i −0.630785 + 0.797702i
\(772\) 17.6146 + 1.85137i 0.633963 + 0.0666322i
\(773\)