Properties

Label 637.2.bl.a.625.18
Level $637$
Weight $2$
Character 637.625
Analytic conductor $5.086$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(27\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 625.18
Character \(\chi\) \(=\) 637.625
Dual form 637.2.bl.a.53.18

$q$-expansion

\(f(q)\) \(=\) \(q+(0.726317 - 0.495195i) q^{2} +(-1.98880 + 1.84534i) q^{3} +(-0.448363 + 1.14241i) q^{4} +(1.60817 + 0.496054i) q^{5} +(-0.530699 + 2.32514i) q^{6} +(0.921177 + 2.48021i) q^{7} +(0.631282 + 2.76583i) q^{8} +(0.325867 - 4.34840i) q^{9} +O(q^{10})\) \(q+(0.726317 - 0.495195i) q^{2} +(-1.98880 + 1.84534i) q^{3} +(-0.448363 + 1.14241i) q^{4} +(1.60817 + 0.496054i) q^{5} +(-0.530699 + 2.32514i) q^{6} +(0.921177 + 2.48021i) q^{7} +(0.631282 + 2.76583i) q^{8} +(0.325867 - 4.34840i) q^{9} +(1.41368 - 0.436064i) q^{10} +(0.132963 + 1.77427i) q^{11} +(-1.21643 - 3.09941i) q^{12} +(0.900969 + 0.433884i) q^{13} +(1.89725 + 1.34526i) q^{14} +(-4.11371 + 1.98106i) q^{15} +(0.0288670 + 0.0267846i) q^{16} +(0.740180 + 0.111564i) q^{17} +(-1.91662 - 3.31969i) q^{18} +(2.18476 - 3.78411i) q^{19} +(-1.28774 + 1.61477i) q^{20} +(-6.40886 - 3.23276i) q^{21} +(0.975185 + 1.22284i) q^{22} +(-1.63390 + 0.246271i) q^{23} +(-6.35938 - 4.33575i) q^{24} +(-1.79106 - 1.22112i) q^{25} +(0.869246 - 0.131018i) q^{26} +(2.30152 + 2.88601i) q^{27} +(-3.24644 - 0.0596713i) q^{28} +(-3.15294 + 3.95366i) q^{29} +(-2.00685 + 3.47597i) q^{30} +(4.92075 + 8.52300i) q^{31} +(-5.57631 - 0.840494i) q^{32} +(-3.53857 - 3.28331i) q^{33} +(0.592852 - 0.285502i) q^{34} +(0.251090 + 4.44554i) q^{35} +(4.82155 + 2.32194i) q^{36} +(-3.33672 - 8.50181i) q^{37} +(-0.287045 - 3.83035i) q^{38} +(-2.59251 + 0.799683i) q^{39} +(-0.356793 + 4.76107i) q^{40} +(-1.25718 - 5.50806i) q^{41} +(-6.25571 + 0.825625i) q^{42} +(-1.31477 + 5.76036i) q^{43} +(-2.08656 - 0.643620i) q^{44} +(2.68109 - 6.83131i) q^{45} +(-1.06478 + 0.987970i) q^{46} +(4.17079 - 2.84360i) q^{47} -0.106837 q^{48} +(-5.30287 + 4.56942i) q^{49} -1.90557 q^{50} +(-1.67794 + 1.14400i) q^{51} +(-0.899634 + 0.834739i) q^{52} +(0.0842258 - 0.214604i) q^{53} +(3.10077 + 0.956460i) q^{54} +(-0.666308 + 2.91929i) q^{55} +(-6.27831 + 4.11353i) q^{56} +(2.63792 + 11.5575i) q^{57} +(-0.332202 + 4.43293i) q^{58} +(10.4802 - 3.23270i) q^{59} +(-0.418746 - 5.58778i) q^{60} +(4.18436 + 10.6616i) q^{61} +(7.79457 + 3.75367i) q^{62} +(11.0851 - 3.19743i) q^{63} +(-4.53734 + 2.18507i) q^{64} +(1.23368 + 1.14469i) q^{65} +(-4.19600 - 0.632446i) q^{66} +(-2.33816 - 4.04982i) q^{67} +(-0.459321 + 0.795568i) q^{68} +(2.79505 - 3.50488i) q^{69} +(2.38378 + 3.10454i) q^{70} +(0.535413 + 0.671387i) q^{71} +(12.2326 - 1.84377i) q^{72} +(-10.8258 - 7.38088i) q^{73} +(-6.63357 - 4.52269i) q^{74} +(5.81545 - 0.876537i) q^{75} +(3.34345 + 4.19255i) q^{76} +(-4.27808 + 1.96420i) q^{77} +(-1.48699 + 1.86462i) q^{78} +(-0.397337 + 0.688208i) q^{79} +(0.0331363 + 0.0573937i) q^{80} +(3.03275 + 0.457114i) q^{81} +(-3.64067 - 3.37805i) q^{82} +(12.6148 - 6.07496i) q^{83} +(6.56663 - 5.87209i) q^{84} +(1.13499 + 0.546583i) q^{85} +(1.89756 + 4.83492i) q^{86} +(-1.02527 - 13.6813i) q^{87} +(-4.82340 + 1.48782i) q^{88} +(-0.103215 + 1.37731i) q^{89} +(-1.43551 - 6.28936i) q^{90} +(-0.246170 + 2.63427i) q^{91} +(0.451238 - 1.97700i) q^{92} +(-25.5142 - 7.87009i) q^{93} +(1.62118 - 4.13071i) q^{94} +(5.39058 - 5.00173i) q^{95} +(12.6412 - 8.61860i) q^{96} +14.2208 q^{97} +(-1.58881 + 5.94480i) q^{98} +7.75858 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324q - 3q^{2} + 25q^{4} + q^{5} - 24q^{6} - 21q^{7} + 24q^{8} + 11q^{9} + O(q^{10}) \) \( 324q - 3q^{2} + 25q^{4} + q^{5} - 24q^{6} - 21q^{7} + 24q^{8} + 11q^{9} - 5q^{10} - 18q^{11} - 40q^{12} + 54q^{13} - 15q^{14} + 6q^{15} + 29q^{16} - 6q^{17} + 49q^{18} - 24q^{19} + 11q^{20} - 6q^{22} - 42q^{23} + 20q^{24} + 14q^{25} + 3q^{26} - 33q^{27} + 7q^{28} - 22q^{29} + 57q^{30} - 31q^{31} - 139q^{32} + 6q^{33} + 50q^{34} + 42q^{35} - 78q^{36} - 4q^{37} - 90q^{38} + 40q^{40} + 8q^{41} + 20q^{42} + 34q^{43} - 256q^{44} + 19q^{45} + 85q^{46} + 34q^{47} - 10q^{48} + 51q^{49} - 54q^{50} + 74q^{51} - 25q^{52} + 10q^{53} + 111q^{54} - 10q^{55} - 196q^{56} - 5q^{57} - 21q^{58} + 65q^{59} + 87q^{60} + 3q^{61} - 54q^{62} - 35q^{63} - 28q^{64} - q^{65} - 110q^{66} + 135q^{67} - 158q^{68} + 42q^{69} + 44q^{70} + 9q^{71} - 133q^{72} + 31q^{73} - 97q^{74} - 315q^{75} - 177q^{76} + 6q^{77} - 25q^{78} + 43q^{79} - 20q^{80} - 259q^{81} + 96q^{82} + 59q^{83} + 285q^{84} + 6q^{85} + 95q^{86} - 206q^{87} + 228q^{88} + 43q^{89} - 61q^{90} - 7q^{91} + 53q^{92} - 10q^{93} - 36q^{94} - 17q^{95} + 277q^{96} + 66q^{97} + 260q^{98} - 206q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{16}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.726317 0.495195i 0.513584 0.350156i −0.278631 0.960398i \(-0.589880\pi\)
0.792214 + 0.610243i \(0.208928\pi\)
\(3\) −1.98880 + 1.84534i −1.14823 + 1.06541i −0.151195 + 0.988504i \(0.548312\pi\)
−0.997039 + 0.0769017i \(0.975497\pi\)
\(4\) −0.448363 + 1.14241i −0.224181 + 0.571205i
\(5\) 1.60817 + 0.496054i 0.719194 + 0.221842i 0.632685 0.774409i \(-0.281953\pi\)
0.0865091 + 0.996251i \(0.472429\pi\)
\(6\) −0.530699 + 2.32514i −0.216657 + 0.949236i
\(7\) 0.921177 + 2.48021i 0.348172 + 0.937431i
\(8\) 0.631282 + 2.76583i 0.223192 + 0.977868i
\(9\) 0.325867 4.34840i 0.108622 1.44947i
\(10\) 1.41368 0.436064i 0.447046 0.137895i
\(11\) 0.132963 + 1.77427i 0.0400900 + 0.534964i 0.980706 + 0.195490i \(0.0626298\pi\)
−0.940616 + 0.339473i \(0.889751\pi\)
\(12\) −1.21643 3.09941i −0.351152 0.894721i
\(13\) 0.900969 + 0.433884i 0.249884 + 0.120338i
\(14\) 1.89725 + 1.34526i 0.507062 + 0.359535i
\(15\) −4.11371 + 1.98106i −1.06216 + 0.511507i
\(16\) 0.0288670 + 0.0267846i 0.00721674 + 0.00669615i
\(17\) 0.740180 + 0.111564i 0.179520 + 0.0270583i 0.238187 0.971219i \(-0.423447\pi\)
−0.0586670 + 0.998278i \(0.518685\pi\)
\(18\) −1.91662 3.31969i −0.451752 0.782458i
\(19\) 2.18476 3.78411i 0.501218 0.868135i −0.498781 0.866728i \(-0.666219\pi\)
0.999999 0.00140722i \(-0.000447931\pi\)
\(20\) −1.28774 + 1.61477i −0.287947 + 0.361075i
\(21\) −6.40886 3.23276i −1.39853 0.705445i
\(22\) 0.975185 + 1.22284i 0.207910 + 0.260711i
\(23\) −1.63390 + 0.246271i −0.340692 + 0.0513510i −0.317160 0.948372i \(-0.602729\pi\)
−0.0235319 + 0.999723i \(0.507491\pi\)
\(24\) −6.35938 4.33575i −1.29810 0.885032i
\(25\) −1.79106 1.22112i −0.358212 0.244225i
\(26\) 0.869246 0.131018i 0.170473 0.0256947i
\(27\) 2.30152 + 2.88601i 0.442927 + 0.555413i
\(28\) −3.24644 0.0596713i −0.613519 0.0112768i
\(29\) −3.15294 + 3.95366i −0.585486 + 0.734176i −0.983038 0.183404i \(-0.941288\pi\)
0.397552 + 0.917580i \(0.369860\pi\)
\(30\) −2.00685 + 3.47597i −0.366399 + 0.634622i
\(31\) 4.92075 + 8.52300i 0.883793 + 1.53078i 0.847090 + 0.531449i \(0.178352\pi\)
0.0367030 + 0.999326i \(0.488314\pi\)
\(32\) −5.57631 0.840494i −0.985762 0.148580i
\(33\) −3.53857 3.28331i −0.615986 0.571551i
\(34\) 0.592852 0.285502i 0.101673 0.0489632i
\(35\) 0.251090 + 4.44554i 0.0424420 + 0.751434i
\(36\) 4.82155 + 2.32194i 0.803592 + 0.386989i
\(37\) −3.33672 8.50181i −0.548553 1.39769i −0.889209 0.457502i \(-0.848744\pi\)
0.340656 0.940188i \(-0.389351\pi\)
\(38\) −0.287045 3.83035i −0.0465649 0.621365i
\(39\) −2.59251 + 0.799683i −0.415134 + 0.128052i
\(40\) −0.356793 + 4.76107i −0.0564139 + 0.752791i
\(41\) −1.25718 5.50806i −0.196338 0.860214i −0.973093 0.230411i \(-0.925993\pi\)
0.776755 0.629803i \(-0.216864\pi\)
\(42\) −6.25571 + 0.825625i −0.965277 + 0.127397i
\(43\) −1.31477 + 5.76036i −0.200500 + 0.878447i 0.770133 + 0.637883i \(0.220190\pi\)
−0.970633 + 0.240564i \(0.922668\pi\)
\(44\) −2.08656 0.643620i −0.314561 0.0970293i
\(45\) 2.68109 6.83131i 0.399673 1.01835i
\(46\) −1.06478 + 0.987970i −0.156993 + 0.145668i
\(47\) 4.17079 2.84360i 0.608372 0.414781i −0.219568 0.975597i \(-0.570465\pi\)
0.827941 + 0.560816i \(0.189512\pi\)
\(48\) −0.106837 −0.0154206
\(49\) −5.30287 + 4.56942i −0.757552 + 0.652775i
\(50\) −1.90557 −0.269489
\(51\) −1.67794 + 1.14400i −0.234959 + 0.160192i
\(52\) −0.899634 + 0.834739i −0.124757 + 0.115757i
\(53\) 0.0842258 0.214604i 0.0115693 0.0294781i −0.924972 0.380034i \(-0.875912\pi\)
0.936542 + 0.350556i \(0.114007\pi\)
\(54\) 3.10077 + 0.956460i 0.421961 + 0.130158i
\(55\) −0.666308 + 2.91929i −0.0898450 + 0.393636i
\(56\) −6.27831 + 4.11353i −0.838974 + 0.549694i
\(57\) 2.63792 + 11.5575i 0.349400 + 1.53082i
\(58\) −0.332202 + 4.43293i −0.0436203 + 0.582072i
\(59\) 10.4802 3.23270i 1.36440 0.420862i 0.475805 0.879551i \(-0.342157\pi\)
0.888597 + 0.458689i \(0.151681\pi\)
\(60\) −0.418746 5.58778i −0.0540599 0.721379i
\(61\) 4.18436 + 10.6616i 0.535752 + 1.36507i 0.900860 + 0.434109i \(0.142937\pi\)
−0.365108 + 0.930965i \(0.618968\pi\)
\(62\) 7.79457 + 3.75367i 0.989912 + 0.476716i
\(63\) 11.0851 3.19743i 1.39659 0.402838i
\(64\) −4.53734 + 2.18507i −0.567167 + 0.273133i
\(65\) 1.23368 + 1.14469i 0.153019 + 0.141981i
\(66\) −4.19600 0.632446i −0.516492 0.0778487i
\(67\) −2.33816 4.04982i −0.285652 0.494764i 0.687115 0.726549i \(-0.258877\pi\)
−0.972767 + 0.231785i \(0.925544\pi\)
\(68\) −0.459321 + 0.795568i −0.0557009 + 0.0964768i
\(69\) 2.79505 3.50488i 0.336484 0.421938i
\(70\) 2.38378 + 3.10454i 0.284916 + 0.371063i
\(71\) 0.535413 + 0.671387i 0.0635418 + 0.0796789i 0.812587 0.582840i \(-0.198059\pi\)
−0.749045 + 0.662519i \(0.769487\pi\)
\(72\) 12.2326 1.84377i 1.44163 0.217291i
\(73\) −10.8258 7.38088i −1.26706 0.863867i −0.271918 0.962320i \(-0.587658\pi\)
−0.995142 + 0.0984540i \(0.968610\pi\)
\(74\) −6.63357 4.52269i −0.771137 0.525752i
\(75\) 5.81545 0.876537i 0.671510 0.101214i
\(76\) 3.34345 + 4.19255i 0.383520 + 0.480918i
\(77\) −4.27808 + 1.96420i −0.487533 + 0.223841i
\(78\) −1.48699 + 1.86462i −0.168368 + 0.211127i
\(79\) −0.397337 + 0.688208i −0.0447039 + 0.0774295i −0.887512 0.460785i \(-0.847568\pi\)
0.842808 + 0.538215i \(0.180901\pi\)
\(80\) 0.0331363 + 0.0573937i 0.00370475 + 0.00641681i
\(81\) 3.03275 + 0.457114i 0.336973 + 0.0507905i
\(82\) −3.64067 3.37805i −0.402045 0.373043i
\(83\) 12.6148 6.07496i 1.38465 0.666814i 0.414666 0.909973i \(-0.363898\pi\)
0.969986 + 0.243160i \(0.0781840\pi\)
\(84\) 6.56663 5.87209i 0.716478 0.640698i
\(85\) 1.13499 + 0.546583i 0.123107 + 0.0592853i
\(86\) 1.89756 + 4.83492i 0.204620 + 0.521362i
\(87\) −1.02527 13.6813i −0.109920 1.46679i
\(88\) −4.82340 + 1.48782i −0.514176 + 0.158602i
\(89\) −0.103215 + 1.37731i −0.0109407 + 0.145994i −0.999999 0.00153254i \(-0.999512\pi\)
0.989058 + 0.147527i \(0.0471312\pi\)
\(90\) −1.43551 6.28936i −0.151316 0.662957i
\(91\) −0.246170 + 2.63427i −0.0258056 + 0.276147i
\(92\) 0.451238 1.97700i 0.0470448 0.206117i
\(93\) −25.5142 7.87009i −2.64570 0.816090i
\(94\) 1.62118 4.13071i 0.167212 0.426050i
\(95\) 5.39058 5.00173i 0.553062 0.513167i
\(96\) 12.6412 8.61860i 1.29018 0.879632i
\(97\) 14.2208 1.44390 0.721951 0.691944i \(-0.243245\pi\)
0.721951 + 0.691944i \(0.243245\pi\)
\(98\) −1.58881 + 5.94480i −0.160494 + 0.600516i
\(99\) 7.75858 0.779766
\(100\) 2.19807 1.49862i 0.219807 0.149862i
\(101\) 1.36886 1.27011i 0.136206 0.126381i −0.609128 0.793072i \(-0.708480\pi\)
0.745334 + 0.666691i \(0.232290\pi\)
\(102\) −0.652215 + 1.66182i −0.0645789 + 0.164544i
\(103\) −5.14672 1.58755i −0.507122 0.156426i 0.0306281 0.999531i \(-0.490249\pi\)
−0.537750 + 0.843105i \(0.680725\pi\)
\(104\) −0.631282 + 2.76583i −0.0619023 + 0.271212i
\(105\) −8.70289 8.37795i −0.849315 0.817604i
\(106\) −0.0450960 0.197579i −0.00438011 0.0191905i
\(107\) −0.970346 + 12.9484i −0.0938069 + 1.25177i 0.729425 + 0.684061i \(0.239788\pi\)
−0.823232 + 0.567705i \(0.807831\pi\)
\(108\) −4.32892 + 1.33530i −0.416551 + 0.128489i
\(109\) −0.129907 1.73349i −0.0124429 0.166038i −0.999963 0.00854849i \(-0.997279\pi\)
0.987521 0.157490i \(-0.0503401\pi\)
\(110\) 0.961664 + 2.45028i 0.0916911 + 0.233625i
\(111\) 22.3248 + 10.7510i 2.11897 + 1.02044i
\(112\) −0.0398399 + 0.0962694i −0.00376451 + 0.00909661i
\(113\) 8.35837 4.02518i 0.786290 0.378657i 0.00274777 0.999996i \(-0.499125\pi\)
0.783542 + 0.621339i \(0.213411\pi\)
\(114\) 7.63916 + 7.08810i 0.715473 + 0.663862i
\(115\) −2.74975 0.414458i −0.256416 0.0386484i
\(116\) −3.10304 5.37462i −0.288110 0.499021i
\(117\) 2.18030 3.77638i 0.201568 0.349127i
\(118\) 6.01111 7.53770i 0.553368 0.693901i
\(119\) 0.405134 + 1.93857i 0.0371386 + 0.177708i
\(120\) −8.07618 10.1272i −0.737251 0.924484i
\(121\) 7.74677 1.16764i 0.704252 0.106149i
\(122\) 8.31872 + 5.67161i 0.753142 + 0.513483i
\(123\) 12.6645 + 8.63451i 1.14192 + 0.778547i
\(124\) −11.9430 + 1.80012i −1.07252 + 0.161656i
\(125\) −7.52105 9.43110i −0.672703 0.843543i
\(126\) 6.46796 7.81164i 0.576212 0.695916i
\(127\) −4.96623 + 6.22745i −0.440682 + 0.552597i −0.951723 0.306959i \(-0.900689\pi\)
0.511041 + 0.859556i \(0.329260\pi\)
\(128\) 3.42578 5.93363i 0.302799 0.524464i
\(129\) −8.01500 13.8824i −0.705682 1.22228i
\(130\) 1.46289 + 0.220495i 0.128304 + 0.0193387i
\(131\) 11.8756 + 11.0190i 1.03758 + 0.962733i 0.999332 0.0365353i \(-0.0116321\pi\)
0.0382471 + 0.999268i \(0.487823\pi\)
\(132\) 5.33745 2.57038i 0.464566 0.223723i
\(133\) 11.3979 + 1.93282i 0.988327 + 0.167597i
\(134\) −3.70370 1.78361i −0.319951 0.154080i
\(135\) 2.26961 + 5.78286i 0.195337 + 0.497709i
\(136\) 0.158695 + 2.11764i 0.0136080 + 0.181586i
\(137\) 6.13463 1.89228i 0.524117 0.161669i −0.0213958 0.999771i \(-0.506811\pi\)
0.545513 + 0.838102i \(0.316335\pi\)
\(138\) 0.294494 3.92975i 0.0250690 0.334523i
\(139\) 0.142468 + 0.624195i 0.0120840 + 0.0529435i 0.980610 0.195967i \(-0.0627846\pi\)
−0.968526 + 0.248911i \(0.919927\pi\)
\(140\) −5.19121 1.70637i −0.438738 0.144215i
\(141\) −3.04747 + 13.3519i −0.256644 + 1.12443i
\(142\) 0.721347 + 0.222506i 0.0605341 + 0.0186723i
\(143\) −0.650033 + 1.65626i −0.0543585 + 0.138503i
\(144\) 0.125877 0.116797i 0.0104898 0.00973307i
\(145\) −7.03168 + 4.79412i −0.583949 + 0.398130i
\(146\) −11.5179 −0.953229
\(147\) 2.11422 18.8732i 0.174378 1.55664i
\(148\) 11.2086 0.921343
\(149\) 4.19858 2.86254i 0.343961 0.234508i −0.379001 0.925396i \(-0.623732\pi\)
0.722962 + 0.690888i \(0.242780\pi\)
\(150\) 3.78980 3.51642i 0.309436 0.287115i
\(151\) −6.23498 + 15.8865i −0.507396 + 1.29282i 0.416137 + 0.909302i \(0.363384\pi\)
−0.923532 + 0.383521i \(0.874711\pi\)
\(152\) 11.8454 + 3.65383i 0.960790 + 0.296364i
\(153\) 0.726326 3.18224i 0.0587200 0.257269i
\(154\) −2.13459 + 3.54512i −0.172010 + 0.285674i
\(155\) 3.68553 + 16.1474i 0.296029 + 1.29699i
\(156\) 0.248819 3.32026i 0.0199214 0.265833i
\(157\) 7.32388 2.25912i 0.584509 0.180297i 0.0116234 0.999932i \(-0.496300\pi\)
0.572886 + 0.819635i \(0.305824\pi\)
\(158\) 0.0522042 + 0.696617i 0.00415314 + 0.0554199i
\(159\) 0.228508 + 0.582229i 0.0181219 + 0.0461737i
\(160\) −8.55071 4.11781i −0.675993 0.325541i
\(161\) −2.11592 3.82556i −0.166758 0.301496i
\(162\) 2.42910 1.16979i 0.190848 0.0919077i
\(163\) 2.43849 + 2.26259i 0.190997 + 0.177220i 0.769875 0.638195i \(-0.220319\pi\)
−0.578877 + 0.815415i \(0.696509\pi\)
\(164\) 6.85613 + 1.03340i 0.535374 + 0.0806947i
\(165\) −4.06191 7.03544i −0.316219 0.547708i
\(166\) 6.15405 10.6591i 0.477647 0.827309i
\(167\) −14.8478 + 18.6185i −1.14896 + 1.44074i −0.270629 + 0.962684i \(0.587232\pi\)
−0.878327 + 0.478061i \(0.841340\pi\)
\(168\) 4.89545 19.7666i 0.377692 1.52502i
\(169\) 0.623490 + 0.781831i 0.0479608 + 0.0601409i
\(170\) 1.09503 0.165049i 0.0839849 0.0126587i
\(171\) −15.7429 10.7333i −1.20389 0.820798i
\(172\) −5.99121 4.08473i −0.456825 0.311458i
\(173\) −19.8024 + 2.98473i −1.50555 + 0.226925i −0.849417 0.527723i \(-0.823046\pi\)
−0.656131 + 0.754647i \(0.727808\pi\)
\(174\) −7.51956 9.42923i −0.570057 0.714828i
\(175\) 1.37876 5.56707i 0.104224 0.420831i
\(176\) −0.0436850 + 0.0547792i −0.00329288 + 0.00412914i
\(177\) −14.8775 + 25.7686i −1.11826 + 1.93689i
\(178\) 0.607068 + 1.05147i 0.0455017 + 0.0788112i
\(179\) 14.9341 + 2.25095i 1.11623 + 0.168244i 0.681146 0.732147i \(-0.261482\pi\)
0.435081 + 0.900391i \(0.356720\pi\)
\(180\) 6.60205 + 6.12581i 0.492088 + 0.456591i
\(181\) −8.87100 + 4.27205i −0.659376 + 0.317539i −0.733479 0.679712i \(-0.762105\pi\)
0.0741032 + 0.997251i \(0.476391\pi\)
\(182\) 1.12568 + 2.03522i 0.0834410 + 0.150861i
\(183\) −27.9960 13.4822i −2.06953 0.996631i
\(184\) −1.71260 4.36362i −0.126254 0.321691i
\(185\) −1.14864 15.3275i −0.0844497 1.12690i
\(186\) −22.4286 + 6.91831i −1.64455 + 0.507275i
\(187\) −0.0995285 + 1.32812i −0.00727824 + 0.0971214i
\(188\) 1.37853 + 6.03972i 0.100539 + 0.440492i
\(189\) −5.03780 + 8.36676i −0.366446 + 0.608592i
\(190\) 1.43844 6.30223i 0.104356 0.457212i
\(191\) −9.99791 3.08395i −0.723424 0.223147i −0.0888895 0.996041i \(-0.528332\pi\)
−0.634534 + 0.772895i \(0.718808\pi\)
\(192\) 4.99167 12.7186i 0.360243 0.917884i
\(193\) −16.4714 + 15.2833i −1.18564 + 1.10011i −0.192729 + 0.981252i \(0.561734\pi\)
−0.992911 + 0.118861i \(0.962076\pi\)
\(194\) 10.3288 7.04206i 0.741565 0.505591i
\(195\) −4.56587 −0.326969
\(196\) −2.84255 8.10681i −0.203039 0.579058i
\(197\) 9.66263 0.688434 0.344217 0.938890i \(-0.388144\pi\)
0.344217 + 0.938890i \(0.388144\pi\)
\(198\) 5.63519 3.84201i 0.400476 0.273040i
\(199\) 3.60550 3.34542i 0.255587 0.237150i −0.541964 0.840402i \(-0.682319\pi\)
0.797551 + 0.603252i \(0.206129\pi\)
\(200\) 2.24676 5.72464i 0.158870 0.404793i
\(201\) 12.1234 + 3.73958i 0.855120 + 0.263770i
\(202\) 0.365271 1.60036i 0.0257004 0.112601i
\(203\) −12.7103 4.17792i −0.892089 0.293233i
\(204\) −0.554592 2.42983i −0.0388292 0.170122i
\(205\) 0.710541 9.48151i 0.0496263 0.662217i
\(206\) −4.52430 + 1.39556i −0.315223 + 0.0972334i
\(207\) 0.538449 + 7.18511i 0.0374248 + 0.499399i
\(208\) 0.0143868 + 0.0366570i 0.000997546 + 0.00254171i
\(209\) 7.00455 + 3.37321i 0.484515 + 0.233330i
\(210\) −10.4698 1.77542i −0.722484 0.122516i
\(211\) −0.761275 + 0.366611i −0.0524084 + 0.0252385i −0.459904 0.887968i \(-0.652116\pi\)
0.407496 + 0.913207i \(0.366402\pi\)
\(212\) 0.207402 + 0.192441i 0.0142444 + 0.0132169i
\(213\) −2.30376 0.347236i −0.157851 0.0237922i
\(214\) 5.70719 + 9.88514i 0.390135 + 0.675734i
\(215\) −4.97181 + 8.61143i −0.339075 + 0.587295i
\(216\) −6.52930 + 8.18748i −0.444263 + 0.557088i
\(217\) −16.6059 + 20.0557i −1.12728 + 1.36147i
\(218\) −0.952770 1.19474i −0.0645297 0.0809177i
\(219\) 35.1505 5.29808i 2.37525 0.358011i
\(220\) −3.03627 2.07010i −0.204706 0.139566i
\(221\) 0.618473 + 0.421668i 0.0416030 + 0.0283644i
\(222\) 21.5387 3.24644i 1.44558 0.217887i
\(223\) −12.4331 15.5906i −0.832582 1.04403i −0.998325 0.0578560i \(-0.981574\pi\)
0.165743 0.986169i \(-0.446998\pi\)
\(224\) −3.05217 14.6047i −0.203932 0.975815i
\(225\) −5.89358 + 7.39032i −0.392906 + 0.492688i
\(226\) 4.07758 7.06258i 0.271237 0.469796i
\(227\) 11.2357 + 19.4608i 0.745741 + 1.29166i 0.949848 + 0.312712i \(0.101238\pi\)
−0.204107 + 0.978949i \(0.565429\pi\)
\(228\) −14.3861 2.16836i −0.952743 0.143603i
\(229\) 10.9505 + 10.1606i 0.723632 + 0.671432i 0.953364 0.301822i \(-0.0975947\pi\)
−0.229733 + 0.973254i \(0.573785\pi\)
\(230\) −2.20243 + 1.06063i −0.145224 + 0.0699361i
\(231\) 4.88365 11.8009i 0.321321 0.776442i
\(232\) −12.9255 6.22461i −0.848603 0.408666i
\(233\) −0.172665 0.439944i −0.0113117 0.0288217i 0.925106 0.379708i \(-0.123976\pi\)
−0.936418 + 0.350886i \(0.885880\pi\)
\(234\) −0.286459 3.82252i −0.0187264 0.249886i
\(235\) 8.11791 2.50404i 0.529554 0.163346i
\(236\) −1.00585 + 13.4221i −0.0654750 + 0.873703i
\(237\) −0.479752 2.10193i −0.0311632 0.136535i
\(238\) 1.25423 + 1.20740i 0.0812994 + 0.0782639i
\(239\) −2.47138 + 10.8278i −0.159860 + 0.700393i 0.829931 + 0.557866i \(0.188380\pi\)
−0.989791 + 0.142527i \(0.954477\pi\)
\(240\) −0.171812 0.0529970i −0.0110904 0.00342094i
\(241\) 4.36394 11.1191i 0.281106 0.716246i −0.718676 0.695346i \(-0.755251\pi\)
0.999782 0.0209009i \(-0.00665344\pi\)
\(242\) 5.04841 4.68424i 0.324524 0.301114i
\(243\) −16.0249 + 10.9256i −1.02800 + 0.700875i
\(244\) −14.0560 −0.899843
\(245\) −10.7946 + 4.71789i −0.689640 + 0.301415i
\(246\) 13.4742 0.859084
\(247\) 3.61027 2.46144i 0.229716 0.156618i
\(248\) −20.4668 + 18.9904i −1.29964 + 1.20589i
\(249\) −13.8779 + 35.3604i −0.879479 + 2.24087i
\(250\) −10.1329 3.12559i −0.640861 0.197679i
\(251\) 3.70580 16.2362i 0.233908 1.02482i −0.712457 0.701716i \(-0.752418\pi\)
0.946364 0.323101i \(-0.104725\pi\)
\(252\) −1.31738 + 14.0974i −0.0829873 + 0.888050i
\(253\) −0.654201 2.86624i −0.0411293 0.180199i
\(254\) −0.523255 + 6.98236i −0.0328320 + 0.438112i
\(255\) −3.26590 + 1.00740i −0.204519 + 0.0630856i
\(256\) −1.20279 16.0501i −0.0751743 1.00313i
\(257\) −4.15062 10.5756i −0.258909 0.659689i 0.741022 0.671481i \(-0.234342\pi\)
−0.999930 + 0.0117922i \(0.996246\pi\)
\(258\) −12.6959 6.11404i −0.790414 0.380643i
\(259\) 18.0126 16.1074i 1.11925 1.00087i
\(260\) −1.86084 + 0.896132i −0.115404 + 0.0555758i
\(261\) 16.1646 + 14.9986i 1.00057 + 0.928390i
\(262\) 14.0820 + 2.12252i 0.869991 + 0.131130i
\(263\) 2.98367 + 5.16786i 0.183981 + 0.318664i 0.943233 0.332133i \(-0.107768\pi\)
−0.759252 + 0.650797i \(0.774435\pi\)
\(264\) 6.84725 11.8598i 0.421419 0.729919i
\(265\) 0.241904 0.303338i 0.0148601 0.0186339i
\(266\) 9.23565 4.24036i 0.566274 0.259993i
\(267\) −2.33632 2.92965i −0.142980 0.179292i
\(268\) 5.67490 0.855354i 0.346650 0.0522491i
\(269\) 16.9389 + 11.5488i 1.03278 + 0.704141i 0.956138 0.292918i \(-0.0946261\pi\)
0.0766471 + 0.997058i \(0.475579\pi\)
\(270\) 4.51210 + 3.07630i 0.274597 + 0.187217i
\(271\) 3.04046 0.458275i 0.184695 0.0278382i −0.0560436 0.998428i \(-0.517849\pi\)
0.240738 + 0.970590i \(0.422610\pi\)
\(272\) 0.0183785 + 0.0230460i 0.00111436 + 0.00139737i
\(273\) −4.37154 5.69331i −0.264578 0.344575i
\(274\) 3.51864 4.41224i 0.212569 0.266553i
\(275\) 1.92846 3.34020i 0.116291 0.201421i
\(276\) 2.75082 + 4.76455i 0.165580 + 0.286792i
\(277\) 2.62499 + 0.395653i 0.157720 + 0.0237725i 0.227428 0.973795i \(-0.426968\pi\)
−0.0697074 + 0.997567i \(0.522207\pi\)
\(278\) 0.412575 + 0.382814i 0.0247446 + 0.0229597i
\(279\) 38.6649 18.6200i 2.31481 1.11475i
\(280\) −12.1371 + 3.50087i −0.725331 + 0.209217i
\(281\) 15.4730 + 7.45142i 0.923044 + 0.444515i 0.834157 0.551527i \(-0.185955\pi\)
0.0888871 + 0.996042i \(0.471669\pi\)
\(282\) 4.39834 + 11.2068i 0.261917 + 0.667354i
\(283\) −0.938574 12.5244i −0.0557924 0.744498i −0.953016 0.302921i \(-0.902038\pi\)
0.897223 0.441577i \(-0.145581\pi\)
\(284\) −1.00706 + 0.310636i −0.0597579 + 0.0184329i
\(285\) −1.49092 + 19.8949i −0.0883142 + 1.17847i
\(286\) 0.348039 + 1.52486i 0.0205800 + 0.0901669i
\(287\) 12.5030 8.19196i 0.738032 0.483556i
\(288\) −5.47194 + 23.9741i −0.322437 + 1.41269i
\(289\) −15.7093 4.84568i −0.924078 0.285040i
\(290\) −2.73321 + 6.96410i −0.160500 + 0.408946i
\(291\) −28.2823 + 26.2421i −1.65794 + 1.53834i
\(292\) 13.2859 9.05815i 0.777496 0.530088i
\(293\) −3.48707 −0.203717 −0.101858 0.994799i \(-0.532479\pi\)
−0.101858 + 0.994799i \(0.532479\pi\)
\(294\) −7.81034 14.7549i −0.455508 0.860524i
\(295\) 18.4575 1.07464
\(296\) 21.4082 14.5958i 1.24432 0.848366i
\(297\) −4.81455 + 4.46725i −0.279369 + 0.259216i
\(298\) 1.63198 4.15823i 0.0945383 0.240880i
\(299\) −1.57895 0.487041i −0.0913129 0.0281663i
\(300\) −1.60607 + 7.03663i −0.0927262 + 0.406260i
\(301\) −15.4980 + 2.04542i −0.893292 + 0.117896i
\(302\) 3.33832 + 14.6262i 0.192099 + 0.841640i
\(303\) −0.378595 + 5.05201i −0.0217497 + 0.290230i
\(304\) 0.164423 0.0507179i 0.00943033 0.00290887i
\(305\) 1.44043 + 19.2213i 0.0824790 + 1.10061i
\(306\) −1.04829 2.67099i −0.0599266 0.152690i
\(307\) 26.7090 + 12.8624i 1.52436 + 0.734093i 0.993550 0.113397i \(-0.0361732\pi\)
0.530811 + 0.847490i \(0.321887\pi\)
\(308\) −0.325784 5.76800i −0.0185633 0.328662i
\(309\) 13.1654 6.34011i 0.748952 0.360676i
\(310\) 10.6730 + 9.90306i 0.606183 + 0.562456i
\(311\) 13.3189 + 2.00751i 0.755248 + 0.113835i 0.515370 0.856968i \(-0.327654\pi\)
0.239878 + 0.970803i \(0.422893\pi\)
\(312\) −3.84839 6.66561i −0.217872 0.377366i
\(313\) −2.69445 + 4.66692i −0.152299 + 0.263790i −0.932072 0.362272i \(-0.882001\pi\)
0.779773 + 0.626062i \(0.215334\pi\)
\(314\) 4.20076 5.26758i 0.237062 0.297267i
\(315\) 19.4128 + 0.356819i 1.09379 + 0.0201044i
\(316\) −0.608065 0.762489i −0.0342063 0.0428934i
\(317\) 19.4781 2.93585i 1.09400 0.164894i 0.422838 0.906205i \(-0.361034\pi\)
0.671161 + 0.741312i \(0.265796\pi\)
\(318\) 0.454286 + 0.309727i 0.0254751 + 0.0173686i
\(319\) −7.43410 5.06848i −0.416229 0.283780i
\(320\) −8.38071 + 1.26319i −0.468496 + 0.0706144i
\(321\) −21.9643 27.5423i −1.22593 1.53726i
\(322\) −3.43122 1.73078i −0.191215 0.0964524i
\(323\) 2.03929 2.55718i 0.113469 0.142286i
\(324\) −1.88199 + 3.25970i −0.104555 + 0.181094i
\(325\) −1.08386 1.87731i −0.0601219 0.104134i
\(326\) 2.89154 + 0.435830i 0.160148 + 0.0241384i
\(327\) 3.45723 + 3.20784i 0.191185 + 0.177394i
\(328\) 14.4407 6.95428i 0.797355 0.383986i
\(329\) 10.8947 + 7.72497i 0.600647 + 0.425892i
\(330\) −6.43415 3.09852i −0.354188 0.170568i
\(331\) −8.33749 21.2436i −0.458270 1.16765i −0.954168 0.299272i \(-0.903256\pi\)
0.495898 0.868381i \(-0.334839\pi\)
\(332\) 1.28409 + 17.1350i 0.0704738 + 0.940408i
\(333\) −38.0566 + 11.7389i −2.08549 + 0.643288i
\(334\) −1.56440 + 20.8755i −0.0856003 + 1.14226i
\(335\) −1.75123 7.67264i −0.0956800 0.419201i
\(336\) −0.0984160 0.264979i −0.00536903 0.0144558i
\(337\) −2.28970 + 10.0318i −0.124728 + 0.546469i 0.873493 + 0.486838i \(0.161850\pi\)
−0.998220 + 0.0596312i \(0.981008\pi\)
\(338\) 0.840010 + 0.259109i 0.0456905 + 0.0140937i
\(339\) −9.19532 + 23.4293i −0.499421 + 1.27250i
\(340\) −1.13331 + 1.05156i −0.0614624 + 0.0570288i
\(341\) −14.4678 + 9.86401i −0.783478 + 0.534166i
\(342\) −16.7494 −0.905705
\(343\) −16.2180 8.94296i −0.875690 0.482875i
\(344\) −16.7622 −0.903755
\(345\) 6.23352 4.24994i 0.335601 0.228809i
\(346\) −12.9048 + 11.9739i −0.693766 + 0.643721i
\(347\) 9.51607 24.2465i 0.510849 1.30162i −0.410136 0.912024i \(-0.634519\pi\)
0.920985 0.389598i \(-0.127386\pi\)
\(348\) 16.0893 + 4.96290i 0.862478 + 0.266039i
\(349\) 8.21786 36.0048i 0.439892 1.92729i 0.0720604 0.997400i \(-0.477043\pi\)
0.367832 0.929892i \(-0.380100\pi\)
\(350\) −1.75537 4.72622i −0.0938285 0.252627i
\(351\) 0.821401 + 3.59879i 0.0438432 + 0.192089i
\(352\) 0.749820 10.0057i 0.0399656 0.533303i
\(353\) 6.10880 1.88432i 0.325139 0.100292i −0.127889 0.991788i \(-0.540820\pi\)
0.453028 + 0.891497i \(0.350344\pi\)
\(354\) 1.95469 + 26.0835i 0.103890 + 1.38632i
\(355\) 0.527990 + 1.34530i 0.0280228 + 0.0714009i
\(356\) −1.52717 0.735447i −0.0809399 0.0389786i
\(357\) −4.38305 3.10782i −0.231975 0.164483i
\(358\) 11.9616 5.76038i 0.632188 0.304446i
\(359\) −15.0598 13.9734i −0.794825 0.737490i 0.174131 0.984722i \(-0.444288\pi\)
−0.968956 + 0.247233i \(0.920479\pi\)
\(360\) 20.5868 + 3.10295i 1.08502 + 0.163540i
\(361\) −0.0463476 0.0802764i −0.00243935 0.00422507i
\(362\) −4.32766 + 7.49574i −0.227457 + 0.393967i
\(363\) −13.2521 + 16.6176i −0.695555 + 0.872198i
\(364\) −2.89905 1.46234i −0.151951 0.0766474i
\(365\) −13.7483 17.2399i −0.719620 0.902375i
\(366\) −27.0103 + 4.07115i −1.41185 + 0.212802i
\(367\) −12.1829 8.30614i −0.635940 0.433577i 0.201965 0.979393i \(-0.435267\pi\)
−0.837905 + 0.545816i \(0.816220\pi\)
\(368\) −0.0537620 0.0366543i −0.00280254 0.00191074i
\(369\) −24.3609 + 3.67182i −1.26818 + 0.191147i
\(370\) −8.42439 10.5639i −0.437963 0.549189i
\(371\) 0.609849 + 0.0112094i 0.0316618 + 0.000581961i
\(372\) 20.4305 25.6190i 1.05927 1.32828i
\(373\) 8.53196 14.7778i 0.441768 0.765165i −0.556052 0.831147i \(-0.687685\pi\)
0.997821 + 0.0659820i \(0.0210180\pi\)
\(374\) 0.585387 + 1.01392i 0.0302696 + 0.0524285i
\(375\) 32.3614 + 4.87770i 1.67114 + 0.251883i
\(376\) 10.4978 + 9.74058i 0.541385 + 0.502332i
\(377\) −4.55613 + 2.19411i −0.234652 + 0.113003i
\(378\) 0.484136 + 8.57162i 0.0249013 + 0.440876i
\(379\) −21.5834 10.3940i −1.10867 0.533906i −0.212294 0.977206i \(-0.568093\pi\)
−0.896373 + 0.443300i \(0.853808\pi\)
\(380\) 3.29709 + 8.40085i 0.169137 + 0.430955i
\(381\) −1.61491 21.5495i −0.0827345 1.10402i
\(382\) −8.78881 + 2.71099i −0.449675 + 0.138706i
\(383\) −0.395867 + 5.28248i −0.0202279 + 0.269922i 0.977915 + 0.209004i \(0.0670220\pi\)
−0.998143 + 0.0609186i \(0.980597\pi\)
\(384\) 4.13635 + 18.1225i 0.211082 + 0.924812i
\(385\) −7.85423 + 1.03660i −0.400288 + 0.0528299i
\(386\) −4.39530 + 19.2571i −0.223715 + 0.980159i
\(387\) 24.6199 + 7.59424i 1.25150 + 0.386037i
\(388\) −6.37608 + 16.2460i −0.323696 + 0.824764i
\(389\) −5.99057 + 5.55844i −0.303734 + 0.281824i −0.817283 0.576236i \(-0.804521\pi\)
0.513549 + 0.858060i \(0.328330\pi\)
\(390\) −3.31627 + 2.26100i −0.167926 + 0.114490i
\(391\) −1.23686 −0.0625505
\(392\) −15.9858 11.7822i −0.807407 0.595092i
\(393\) −43.9520 −2.21709
\(394\) 7.01814 4.78488i 0.353569 0.241059i
\(395\) −0.980373 + 0.909653i −0.0493279 + 0.0457696i
\(396\) −3.47866 + 8.86348i −0.174809 + 0.445407i
\(397\) −13.7103 4.22906i −0.688099 0.212251i −0.0690623 0.997612i \(-0.522001\pi\)
−0.619037 + 0.785362i \(0.712477\pi\)
\(398\) 0.962105 4.21526i 0.0482260 0.211292i
\(399\) −26.2349 + 17.1891i −1.31339 + 0.860529i
\(400\) −0.0189951 0.0832230i −0.000949755 0.00416115i
\(401\) 0.471128 6.28677i 0.0235270 0.313946i −0.973008 0.230771i \(-0.925875\pi\)
0.996535 0.0831746i \(-0.0265059\pi\)
\(402\) 10.6573 3.28733i 0.531536 0.163957i
\(403\) 0.735457 + 9.81399i 0.0366357 + 0.488870i
\(404\) 0.837246 + 2.13327i 0.0416546 + 0.106134i
\(405\) 4.65042 + 2.23953i 0.231081 + 0.111283i
\(406\) −11.3006 + 3.25958i −0.560840 + 0.161770i
\(407\) 14.6409 7.05068i 0.725722 0.349489i
\(408\) −4.22337 3.91872i −0.209088 0.194005i
\(409\) −1.46821 0.221297i −0.0725984 0.0109424i 0.112643 0.993636i \(-0.464068\pi\)
−0.185241 + 0.982693i \(0.559307\pi\)
\(410\) −4.17912 7.23844i −0.206392 0.357481i
\(411\) −8.70866 + 15.0838i −0.429567 + 0.744031i
\(412\) 4.12124 5.16787i 0.203039 0.254603i
\(413\) 17.6719 + 23.0151i 0.869576 + 1.13250i
\(414\) 3.94911 + 4.95203i 0.194088 + 0.243379i
\(415\) 23.3002 3.51194i 1.14376 0.172394i
\(416\) −4.65941 3.17673i −0.228446 0.155752i
\(417\) −1.43519 0.978496i −0.0702816 0.0479172i
\(418\) 6.75792 1.01859i 0.330541 0.0498210i
\(419\) 22.6114 + 28.3538i 1.10464 + 1.38517i 0.915065 + 0.403307i \(0.132139\pi\)
0.189574 + 0.981866i \(0.439289\pi\)
\(420\) 13.4731 6.18591i 0.657421 0.301842i
\(421\) 24.1611 30.2971i 1.17754 1.47659i 0.331516 0.943449i \(-0.392440\pi\)
0.846026 0.533142i \(-0.178989\pi\)
\(422\) −0.371384 + 0.643256i −0.0180787 + 0.0313132i
\(423\) −11.0060 19.0629i −0.535129 0.926870i
\(424\) 0.646727 + 0.0974785i 0.0314079 + 0.00473397i
\(425\) −1.18947 1.10367i −0.0576979 0.0535358i
\(426\) −1.84521 + 0.888608i −0.0894009 + 0.0430532i
\(427\) −22.5884 + 20.1993i −1.09313 + 0.977511i
\(428\) −14.3573 6.91410i −0.693986 0.334206i
\(429\) −1.76357 4.49349i −0.0851457 0.216948i
\(430\) 0.653223 + 8.71665i 0.0315012 + 0.420354i
\(431\) 33.0084 10.1817i 1.58996 0.490437i 0.631430 0.775433i \(-0.282468\pi\)
0.958529 + 0.284996i \(0.0919921\pi\)
\(432\) −0.0108629 + 0.144955i −0.000522642 + 0.00697417i
\(433\) 3.97325 + 17.4079i 0.190942 + 0.836573i 0.976108 + 0.217287i \(0.0697207\pi\)
−0.785166 + 0.619286i \(0.787422\pi\)
\(434\) −2.12970 + 22.7900i −0.102229 + 1.09395i
\(435\) 5.13784 22.5104i 0.246341 1.07929i
\(436\) 2.03860 + 0.628826i 0.0976314 + 0.0301153i
\(437\) −2.63776 + 6.72091i −0.126181 + 0.321505i
\(438\) 22.9068 21.2544i 1.09453 1.01558i
\(439\) −16.4147 + 11.1914i −0.783433 + 0.534135i −0.887705 0.460413i \(-0.847701\pi\)
0.104272 + 0.994549i \(0.466749\pi\)
\(440\) −8.49488 −0.404977
\(441\) 18.1416 + 24.5480i 0.863888 + 1.16895i
\(442\) 0.658016 0.0312986
\(443\) −23.6770 + 16.1427i −1.12493 + 0.766962i −0.975103 0.221751i \(-0.928823\pi\)
−0.149823 + 0.988713i \(0.547870\pi\)
\(444\) −22.2917 + 20.6837i −1.05792 + 0.981604i
\(445\) −0.849205 + 2.16374i −0.0402562 + 0.102571i
\(446\) −16.7508 5.16693i −0.793172 0.244661i
\(447\) −3.06778 + 13.4408i −0.145101 + 0.635728i
\(448\) −9.59912 9.24071i −0.453516 0.436583i
\(449\) 1.34035 + 5.87245i 0.0632549 + 0.277138i 0.996658 0.0816929i \(-0.0260327\pi\)
−0.933403 + 0.358831i \(0.883176\pi\)
\(450\) −0.620964 + 8.28619i −0.0292725 + 0.390615i
\(451\) 9.60564 2.96295i 0.452312 0.139520i
\(452\) 0.850822 + 11.3534i 0.0400193 + 0.534021i
\(453\) −16.9158 43.1007i −0.794772 2.02505i
\(454\) 17.7976 + 8.57087i 0.835283 + 0.402251i
\(455\) −1.70262 + 4.11424i −0.0798203 + 0.192879i
\(456\) −30.3007 + 14.5920i −1.41896 + 0.683335i
\(457\) −7.71795 7.16121i −0.361030 0.334987i 0.478712 0.877972i \(-0.341104\pi\)
−0.839743 + 0.542985i \(0.817294\pi\)
\(458\) 12.9850 + 1.95718i 0.606751 + 0.0914530i
\(459\) 1.38156 + 2.39293i 0.0644857 + 0.111693i
\(460\) 1.70637 2.95552i 0.0795598 0.137802i
\(461\) 24.2103 30.3588i 1.12759 1.41395i 0.229957 0.973201i \(-0.426142\pi\)
0.897630 0.440749i \(-0.145287\pi\)
\(462\) −2.29667 10.9896i −0.106851 0.511281i
\(463\) −21.9664 27.5450i −1.02087 1.28013i −0.959410 0.282015i \(-0.908997\pi\)
−0.0614557 0.998110i \(-0.519574\pi\)
\(464\) −0.196913 + 0.0296798i −0.00914145 + 0.00137785i
\(465\) −37.1271 25.3128i −1.72173 1.17385i
\(466\) −0.343268 0.234036i −0.0159016 0.0108415i
\(467\) −12.3794 + 1.86589i −0.572849 + 0.0863431i −0.429077 0.903268i \(-0.641161\pi\)
−0.143772 + 0.989611i \(0.545923\pi\)
\(468\) 3.33662 + 4.18398i 0.154235 + 0.193405i
\(469\) 7.89053 9.52974i 0.364351 0.440042i
\(470\) 4.65619 5.83868i 0.214774 0.269318i
\(471\) −10.3969 + 18.0080i −0.479064 + 0.829763i
\(472\) 15.5571 + 26.9456i 0.716072 + 1.24027i
\(473\) −10.3953 1.56684i −0.477975 0.0720432i
\(474\) −1.38932 1.28910i −0.0638134 0.0592102i
\(475\) −8.53391 + 4.10971i −0.391563 + 0.188567i
\(476\) −2.39629 0.406354i −0.109834 0.0186252i
\(477\) −0.905736 0.436180i −0.0414708 0.0199713i
\(478\) 3.56687 + 9.08824i 0.163145 + 0.415687i
\(479\) −0.362780 4.84096i −0.0165758 0.221189i −0.999340 0.0363255i \(-0.988435\pi\)
0.982764 0.184864i \(-0.0591844\pi\)
\(480\) 24.6044 7.58945i 1.12303 0.346410i
\(481\) 0.682522 9.10762i 0.0311203 0.415272i
\(482\) −2.33653 10.2370i −0.106426 0.466284i
\(483\) 11.2676 + 3.70369i 0.512692 + 0.168524i
\(484\) −2.13944 + 9.37352i −0.0972475 + 0.426069i
\(485\) 22.8694 + 7.05428i 1.03845 + 0.320318i
\(486\) −6.22885 + 15.8709i −0.282547 + 0.719917i
\(487\) −2.51383 + 2.33249i −0.113912 + 0.105695i −0.735073 0.677988i \(-0.762852\pi\)
0.621160 + 0.783683i \(0.286662\pi\)
\(488\) −26.8466 + 18.3037i −1.21529 + 0.828568i
\(489\) −9.02492 −0.408121
\(490\) −5.50401 + 8.77210i −0.248646 + 0.396283i
\(491\) 18.8015 0.848500 0.424250 0.905545i \(-0.360538\pi\)
0.424250 + 0.905545i \(0.360538\pi\)
\(492\) −15.5424 + 10.5967i −0.700707 + 0.477734i
\(493\) −2.77483 + 2.57466i −0.124972 + 0.115957i
\(494\) 1.40331 3.57557i 0.0631378 0.160872i
\(495\) 12.4771 + 3.84867i 0.560804 + 0.172985i
\(496\) −0.0862380 + 0.377833i −0.00387220 + 0.0169652i
\(497\) −1.17197 + 1.94640i −0.0525700 + 0.0873080i
\(498\) 7.43050 + 32.5552i 0.332969 + 1.45883i
\(499\) 1.87551 25.0270i 0.0839595 1.12036i −0.783013 0.622006i \(-0.786318\pi\)
0.866972 0.498356i \(-0.166063\pi\)
\(500\) 14.1463 4.36357i 0.632644 0.195145i
\(501\) −4.82819 64.4277i −0.215707 2.87842i
\(502\) −5.34848 13.6277i −0.238714 0.608234i
\(503\) −37.8426 18.2240i −1.68732 0.812569i −0.995934 0.0900811i \(-0.971287\pi\)
−0.691383 0.722488i \(-0.742998\pi\)
\(504\) 15.8414 + 28.6411i 0.705631 + 1.27577i
\(505\) 2.83140 1.36353i 0.125996 0.0606762i
\(506\) −1.89451 1.75784i −0.0842211 0.0781457i
\(507\) −2.68274 0.404358i −0.119145 0.0179582i
\(508\) −4.88763 8.46563i −0.216854 0.375602i
\(509\) −8.55921 + 14.8250i −0.379380 + 0.657106i −0.990972 0.134067i \(-0.957196\pi\)
0.611592 + 0.791173i \(0.290529\pi\)
\(510\) −1.87322 + 2.34895i −0.0829477 + 0.104013i
\(511\) 8.33367 33.6492i 0.368660 1.48855i
\(512\) −0.277768 0.348310i −0.0122757 0.0153933i
\(513\) 15.9492 2.40396i 0.704176 0.106138i
\(514\) −8.25166 5.62589i −0.363965 0.248147i
\(515\) −7.48928 5.10610i −0.330017 0.225002i
\(516\) 19.4530 2.93207i 0.856371 0.129077i
\(517\) 5.59988 + 7.02203i 0.246282 + 0.308828i
\(518\) 5.10652 20.6188i 0.224368 0.905940i
\(519\) 33.8751 42.4781i 1.48695 1.86458i
\(520\) −2.38721 + 4.13477i −0.104686 + 0.181322i
\(521\) −0.403606 0.699065i −0.0176823 0.0306266i 0.857049 0.515235i \(-0.172295\pi\)
−0.874731 + 0.484609i \(0.838962\pi\)
\(522\) 19.1679 + 2.88909i 0.838956 + 0.126452i
\(523\) −19.0091 17.6379i −0.831210 0.771250i 0.144688 0.989477i \(-0.453782\pi\)
−0.975898 + 0.218227i \(0.929973\pi\)
\(524\) −17.9128 + 8.62635i −0.782524 + 0.376844i
\(525\) 7.53105 + 13.6161i 0.328682 + 0.594254i
\(526\) 4.72619 + 2.27601i 0.206072 + 0.0992388i
\(527\) 2.69138 + 6.85753i 0.117238 + 0.298719i
\(528\) −0.0142054 0.189558i −0.000618213 0.00824947i
\(529\) −19.3692 + 5.97460i −0.842139 + 0.259765i
\(530\) 0.0254877 0.340110i 0.00110711 0.0147734i
\(531\) −10.6419 46.6254i −0.461821 2.02337i
\(532\) −7.31849 + 12.1545i −0.317297 + 0.526965i
\(533\) 1.25718 5.50806i 0.0544544 0.238580i
\(534\) −3.14766 0.970924i −0.136212 0.0420160i
\(535\) −7.98357 + 20.3418i −0.345160 + 0.879453i
\(536\) 9.72507 9.02354i 0.420059 0.389758i
\(537\) −33.8547 + 23.0817i −1.46094 + 0.996051i
\(538\) 18.0219 0.776981
\(539\) −8.81249 8.80117i −0.379581 0.379093i
\(540\) −7.62401 −0.328085
\(541\) −25.2533 + 17.2174i −1.08572 + 0.740233i −0.967530 0.252757i \(-0.918663\pi\)
−0.118193 + 0.992991i \(0.537710\pi\)
\(542\) 1.98140 1.83847i 0.0851085 0.0789691i
\(543\) 9.75928 24.8662i 0.418811 1.06711i
\(544\) −4.03370 1.24423i −0.172944 0.0533461i
\(545\) 0.650993 2.85218i 0.0278855 0.122174i
\(546\) −5.99442 1.97039i −0.256538 0.0843248i
\(547\) −3.37144 14.7713i −0.144152 0.631573i −0.994445 0.105262i \(-0.966432\pi\)
0.850292 0.526311i \(-0.176425\pi\)
\(548\) −0.588778 + 7.85670i −0.0251514 + 0.335622i
\(549\) 47.7243 14.7210i 2.03682 0.628277i
\(550\) −0.253371 3.38101i −0.0108038 0.144167i
\(551\) 8.07269 + 20.5689i 0.343908 + 0.876263i
\(552\) 11.4584 + 5.51806i 0.487701 + 0.234864i
\(553\) −2.07292 0.351517i −0.0881494 0.0149480i
\(554\) 2.10250 1.01251i 0.0893267 0.0430175i
\(555\) 30.5689 + 28.3638i 1.29758 + 1.20398i
\(556\) −0.776964 0.117108i −0.0329506 0.00496651i
\(557\) −2.63514 4.56420i −0.111655 0.193391i 0.804783 0.593569i \(-0.202282\pi\)
−0.916437 + 0.400178i \(0.868948\pi\)
\(558\) 18.8624 32.6707i 0.798511 1.38306i
\(559\) −3.68389 + 4.61945i −0.155812 + 0.195382i
\(560\) −0.111824 + 0.135055i −0.00472543 + 0.00570710i
\(561\) −2.25288 2.82502i −0.0951166 0.119272i
\(562\) 14.9282 2.25007i 0.629710 0.0949135i
\(563\) −35.5785 24.2570i −1.49945 1.02231i −0.986476 0.163908i \(-0.947590\pi\)
−0.512978 0.858402i \(-0.671458\pi\)
\(564\) −13.8869 9.46794i −0.584745 0.398672i
\(565\) 15.4384 2.32696i 0.649497 0.0978959i
\(566\) −6.88372 8.63191i −0.289344 0.362826i
\(567\) 1.65997 + 7.94294i 0.0697120 + 0.333572i
\(568\) −1.51894 + 1.90470i −0.0637335 + 0.0799192i
\(569\) 6.88994 11.9337i 0.288841 0.500288i −0.684692 0.728833i \(-0.740063\pi\)
0.973533 + 0.228544i \(0.0733966\pi\)
\(570\) 8.76897 + 15.1883i 0.367292 + 0.636168i
\(571\) 20.4316 + 3.07957i 0.855037 + 0.128876i 0.561911 0.827198i \(-0.310066\pi\)
0.293126 + 0.956074i \(0.405304\pi\)
\(572\) −1.60067 1.48521i −0.0669275 0.0620997i
\(573\) 25.5748 12.3162i 1.06840 0.514515i
\(574\) 5.02456 12.1414i 0.209721 0.506773i
\(575\) 3.22714 + 1.55411i 0.134581 + 0.0648109i
\(576\) 8.02297 + 20.4422i 0.334291 + 0.851759i
\(577\) −1.11883 14.9297i −0.0465774 0.621532i −0.970833 0.239757i \(-0.922932\pi\)
0.924256 0.381774i \(-0.124687\pi\)
\(578\) −13.8095 + 4.25967i −0.574400 + 0.177179i
\(579\) 4.55563 60.7907i 0.189326 2.52638i
\(580\) −2.32410 10.1826i −0.0965032 0.422808i
\(581\) 26.6876 + 25.6912i 1.10719 + 1.06585i
\(582\) −7.54696 + 33.0654i −0.312831 + 1.37060i
\(583\) 0.391965 + 0.120905i 0.0162335 + 0.00500738i
\(584\) 13.5801 34.6016i 0.561950 1.43183i
\(585\) 5.37957 4.99151i 0.222418 0.206374i
\(586\) −2.53272 + 1.72678i −0.104626 + 0.0713326i
\(587\) 38.0386 1.57002 0.785011 0.619481i \(-0.212657\pi\)
0.785011 + 0.619481i \(0.212657\pi\)
\(588\) 20.6130 + 10.8774i 0.850068 + 0.448575i
\(589\) 43.0027 1.77189
\(590\) 13.4060 9.14004i 0.551915 0.376290i
\(591\) −19.2170 + 17.8308i −0.790483 + 0.733461i
\(592\) 0.131397 0.334794i 0.00540038 0.0137600i
\(593\) 34.7362 + 10.7147i 1.42645 + 0.440000i 0.909387 0.415950i \(-0.136551\pi\)
0.517058 + 0.855950i \(0.327027\pi\)
\(594\) −1.28473 + 5.62878i −0.0527132 + 0.230952i
\(595\) −0.310112 + 3.31851i −0.0127133 + 0.136046i
\(596\) 1.38771 + 6.07995i 0.0568428 + 0.249045i
\(597\) −0.997201 + 13.3067i −0.0408127 + 0.544608i
\(598\) −1.38800 + 0.428140i −0.0567594 + 0.0175080i
\(599\) −1.16502 15.5460i −0.0476012 0.635194i −0.969077 0.246758i \(-0.920635\pi\)
0.921476 0.388436i \(-0.126984\pi\)
\(600\) 6.09554 + 15.5312i 0.248849 + 0.634058i
\(601\) −17.6463 8.49799i −0.719806 0.346640i 0.0378600 0.999283i \(-0.487946\pi\)
−0.757666 + 0.652643i \(0.773660\pi\)
\(602\) −10.2436 + 9.16017i −0.417498 + 0.373341i
\(603\) −18.3722 + 8.84757i −0.748172 + 0.360301i
\(604\) −15.3533 14.2458i −0.624718 0.579654i
\(605\) 13.0373 + 1.96506i 0.530042 + 0.0798910i
\(606\) 2.22675 + 3.85684i 0.0904554 + 0.156673i
\(607\) −4.43758 + 7.68611i −0.180116 + 0.311970i −0.941920 0.335838i \(-0.890981\pi\)
0.761804 + 0.647808i \(0.224314\pi\)
\(608\) −15.3634 + 19.2651i −0.623069 + 0.781304i
\(609\) 32.9879 15.1457i 1.33674 0.613737i
\(610\) 10.5645 + 13.2474i 0.427743 + 0.536373i
\(611\) 4.99154 0.752354i 0.201936 0.0304370i
\(612\) 3.30977 + 2.25656i 0.133789 + 0.0912161i
\(613\) 16.3732 + 11.1630i 0.661306 + 0.450871i 0.846898 0.531756i \(-0.178468\pi\)
−0.185591 + 0.982627i \(0.559420\pi\)
\(614\) 25.7685 3.88398i 1.03993 0.156745i
\(615\) 16.0835 + 20.1680i 0.648547 + 0.813253i
\(616\) −8.13331 10.5925i −0.327701 0.426784i
\(617\) −19.1420 + 24.0033i −0.770628 + 0.966337i −0.999975 0.00700781i \(-0.997769\pi\)
0.229348 + 0.973345i \(0.426341\pi\)
\(618\) 6.42265 11.1244i 0.258357 0.447487i
\(619\) 4.41253 + 7.64273i 0.177355 + 0.307187i 0.940974 0.338480i \(-0.109913\pi\)
−0.763619 + 0.645667i \(0.776579\pi\)
\(620\) −20.0994 3.02949i −0.807210 0.121667i
\(621\) −4.47119 4.14866i −0.179423 0.166480i
\(622\) 10.6679 5.13738i 0.427743 0.205990i
\(623\) −3.51108 + 1.01275i −0.140669 + 0.0405749i
\(624\) −0.0962570 0.0463549i −0.00385336 0.00185568i
\(625\) −3.45697 8.80823i −0.138279 0.352329i
\(626\) 0.354010 + 4.72394i 0.0141491 + 0.188807i
\(627\) −20.1554 + 6.21710i −0.804927 + 0.248287i
\(628\) −0.702917 + 9.37978i −0.0280495 + 0.374294i
\(629\) −1.52127 6.66513i −0.0606571 0.265756i
\(630\) 14.2766 9.35397i 0.568792 0.372671i
\(631\) −10.9138 + 47.8167i −0.434473 + 1.90355i −0.00603295 + 0.999982i \(0.501920\pi\)
−0.428440 + 0.903570i \(0.640937\pi\)
\(632\) −2.15430 0.664513i −0.0856934 0.0264329i
\(633\) 0.837504 2.13393i 0.0332878 0.0848159i
\(634\) 12.6935 11.7778i 0.504122 0.467756i
\(635\) −11.0757 + 7.55127i −0.439525 + 0.299663i
\(636\) −0.767599 −0.0304373
\(637\) −6.76031 + 1.81608i −0.267853 + 0.0719557i
\(638\) −7.90940 −0.313136
\(639\) 3.09393 2.10941i 0.122394 0.0834468i
\(640\) 8.45264 7.84290i 0.334120 0.310018i
\(641\) 17.8254 45.4185i 0.704063 1.79392i 0.103062 0.994675i \(-0.467136\pi\)
0.601001 0.799248i \(-0.294769\pi\)
\(642\) −29.5919 9.12788i −1.16790 0.360249i
\(643\) −2.93527 + 12.8603i −0.115756 + 0.507159i 0.883494 + 0.468442i \(0.155184\pi\)
−0.999250 + 0.0387176i \(0.987673\pi\)
\(644\) 5.31905 0.702006i 0.209600 0.0276629i
\(645\) −6.00305 26.3011i −0.236370 1.03560i
\(646\) 0.214865 2.86717i 0.00845374 0.112807i
\(647\) 40.7120 12.5580i 1.60056 0.493706i 0.639206 0.769036i \(-0.279263\pi\)
0.961350 + 0.275330i \(0.0887871\pi\)
\(648\) 0.650225 + 8.67665i 0.0255432 + 0.340851i
\(649\) 7.12918 + 18.1649i 0.279845 + 0.713033i
\(650\) −1.71686 0.826797i −0.0673409 0.0324296i
\(651\) −3.98364 70.5302i −0.156131 2.76430i
\(652\) −3.67814 + 1.77130i −0.144047 + 0.0693694i
\(653\) −4.10307 3.80709i −0.160566 0.148983i 0.595799 0.803134i \(-0.296836\pi\)
−0.756364 + 0.654151i \(0.773026\pi\)
\(654\) 4.09956 + 0.617909i 0.160305 + 0.0241621i
\(655\) 13.6320 + 23.6113i 0.532647 + 0.922571i
\(656\) 0.111240 0.192674i 0.00434321 0.00752265i
\(657\) −35.6228 + 44.6695i −1.38978 + 1.74272i
\(658\) 11.7384 + 0.215759i 0.457611 + 0.00841115i
\(659\) 12.1103 + 15.1859i 0.471751 + 0.591557i 0.959599 0.281371i \(-0.0907893\pi\)
−0.487848 + 0.872929i \(0.662218\pi\)
\(660\) 9.85857 1.48594i 0.383744 0.0578401i
\(661\) −25.0751 17.0959i −0.975308 0.664953i −0.0329135 0.999458i \(-0.510479\pi\)
−0.942394 + 0.334505i \(0.891431\pi\)
\(662\) −16.5754 11.3009i −0.644221 0.439222i
\(663\) −2.00814 + 0.302678i −0.0779896 + 0.0117550i
\(664\) 24.7658 + 31.0553i 0.961099 + 1.20518i
\(665\) 17.3710 + 8.76229i 0.673619 + 0.339787i
\(666\) −21.8281 + 27.3716i −0.845823 + 1.06063i
\(667\) 4.17792 7.23636i 0.161770 0.280193i
\(668\) −14.6128 25.3101i −0.565386 0.979278i
\(669\) 53.4969 + 8.06336i 2.06831 + 0.311747i
\(670\) −5.07140 4.70557i −0.195925 0.181792i
\(671\) −18.3602 + 8.84179i −0.708787 + 0.341334i
\(672\) 33.0207 + 23.4135i 1.27380 + 0.903194i
\(673\) 25.9803 + 12.5114i 1.00147 + 0.482280i 0.861435 0.507867i \(-0.169566\pi\)
0.140030 + 0.990147i \(0.455280\pi\)
\(674\) 3.30466 + 8.42014i 0.127291 + 0.324332i
\(675\) −0.597977 7.97945i −0.0230162 0.307129i
\(676\) −1.17272 + 0.361737i −0.0451047 + 0.0139130i
\(677\) 1.50837 20.1278i 0.0579714 0.773575i −0.890150 0.455667i \(-0.849401\pi\)
0.948122 0.317908i \(-0.102980\pi\)
\(678\) 4.92334 + 21.5706i 0.189080 + 0.828413i
\(679\) 13.0999 + 35.2705i 0.502727 + 1.35356i
\(680\) −0.795255 + 3.48424i −0.0304966 + 0.133615i
\(681\) −58.2574 17.9700i −2.23243 0.688613i
\(682\) −5.62364 + 14.3288i −0.215340 + 0.548678i
\(683\) 12.3964 11.5022i 0.474336 0.440120i −0.406422 0.913685i \(-0.633224\pi\)
0.880758 + 0.473566i \(0.157033\pi\)
\(684\) 19.3204 13.1724i 0.738734 0.503660i
\(685\) 10.8042 0.412807
\(686\) −16.2079 + 1.53564i −0.618821 + 0.0586309i
\(687\) −40.5282 −1.54625
\(688\) −0.192242 + 0.131069i −0.00732917 + 0.00499694i
\(689\) 0.168998 0.156807i 0.00643831 0.00597387i
\(690\) 2.42296 6.17361i 0.0922407 0.235025i
\(691\) 46.9194 + 14.4727i 1.78490 + 0.550568i 0.997802 0.0662637i \(-0.0211079\pi\)
0.787095 + 0.616832i \(0.211584\pi\)
\(692\) 5.46887 23.9607i 0.207895 0.910849i
\(693\) 7.14703 + 19.2429i 0.271493 + 0.730977i
\(694\) −5.09508 22.3230i −0.193406 0.847369i
\(695\) −0.0805213 + 1.07448i −0.00305435 + 0.0407574i
\(696\) 37.1928 11.4725i 1.40979 0.434863i
\(697\) −0.316036 4.21721i −0.0119707 0.159738i
\(698\) −11.8606 30.2204i −0.448931 1.14386i
\(699\) 1.15524 + 0.556335i 0.0436953 + 0.0210425i
\(700\) 5.74170 + 4.07118i 0.217016 + 0.153876i
\(701\) 22.7914 10.9758i 0.860820 0.414549i 0.0492375 0.998787i \(-0.484321\pi\)
0.811582 + 0.584238i \(0.198607\pi\)
\(702\) 2.37870 + 2.20711i 0.0897783 + 0.0833021i
\(703\) −39.4618 5.94790i −1.48833 0.224329i
\(704\) −4.48021 7.75995i −0.168854 0.292464i
\(705\) −11.5241 + 19.9603i −0.434022 + 0.751749i
\(706\) 3.50383 4.39366i 0.131868 0.165357i
\(707\) 4.41111 + 2.22505i 0.165897 + 0.0836817i
\(708\) −22.7678 28.5500i −0.855667 1.07297i
\(709\) −3.80094 + 0.572900i −0.142747 + 0.0215157i −0.220027 0.975494i \(-0.570615\pi\)
0.0772798 + 0.997009i \(0.475377\pi\)
\(710\) 1.04967 + 0.715654i 0.0393935 + 0.0268580i
\(711\) 2.86312 + 1.95205i 0.107376 + 0.0732074i
\(712\) −3.87455 + 0.583994i −0.145205 + 0.0218861i
\(713\) −10.1390 12.7139i −0.379708 0.476139i
\(714\) −4.72246 0.0868014i −0.176734 0.00324846i
\(715\) −1.86695 + 2.34109i −0.0698201 + 0.0875516i
\(716\) −9.26741 + 16.0516i −0.346339 + 0.599877i
\(717\) −15.0659 26.0949i −0.562646 0.974531i
\(718\) −17.8578 2.69162i −0.666445 0.100450i
\(719\) 15.8471 + 14.7040i 0.590998 + 0.548366i 0.917961 0.396671i \(-0.129835\pi\)
−0.326962 + 0.945037i \(0.606025\pi\)
\(720\) 0.260369 0.125387i 0.00970338 0.00467290i
\(721\) −0.803580 14.2274i −0.0299269 0.529855i
\(722\) −0.0734155 0.0353550i −0.00273224 0.00131578i
\(723\) 11.8395 + 30.1667i 0.440317 + 1.12191i
\(724\) −0.903004 12.0497i −0.0335599 0.447825i
\(725\) 10.4750 3.23111i 0.389032 0.120000i
\(726\) −1.39628 + 18.6320i −0.0518207 + 0.691499i
\(727\) 4.01227 + 17.5789i 0.148807 + 0.651966i 0.993218 + 0.116270i \(0.0370937\pi\)
−0.844411 + 0.535696i \(0.820049\pi\)
\(728\) −7.44135 + 0.982107i −0.275795 + 0.0363993i
\(729\) 9.66148 42.3297i 0.357832 1.56777i
\(730\) −18.5227 5.71351i −0.685557 0.211466i
\(731\) −1.61581 + 4.11702i −0.0597630 + 0.152274i
\(732\) 27.9546 25.9380i 1.03323 0.958698i
\(733\) 23.3572 15.9247i 0.862719 0.588192i −0.0490953 0.998794i \(-0.515634\pi\)
0.911815 + 0.410602i \(0.134681\pi\)
\(734\) −12.9618 −0.478428
\(735\) 12.7622 29.3026i 0.470739 1.08084i
\(736\) 9.31813 0.343471
\(737\) 6.87460 4.68702i 0.253229 0.172649i
\(738\) −15.8755 + 14.7303i −0.584385 + 0.542230i
\(739\) −0.807177 + 2.05665i −0.0296925 + 0.0756552i −0.944951 0.327212i \(-0.893891\pi\)
0.915259 + 0.402867i \(0.131986\pi\)
\(740\) 18.0253 + 5.56008i 0.662625 + 0.204393i
\(741\) −2.63792 + 11.5575i −0.0969062 + 0.424574i
\(742\) 0.448495 0.293852i 0.0164648 0.0107877i
\(743\) −4.95687 21.7175i −0.181850 0.796736i −0.980749 0.195271i \(-0.937441\pi\)
0.798899 0.601465i \(-0.205416\pi\)
\(744\) 5.66065 75.5361i 0.207530 2.76929i
\(745\) 8.17199 2.52072i 0.299398 0.0923522i
\(746\) −1.12097 14.9584i −0.0410418 0.547664i
\(747\) −22.3056 56.8338i −0.816119 2.07944i
\(748\) −1.47263 0.709180i −0.0538446 0.0259302i
\(749\) −33.0085 + 9.52108i −1.20610 + 0.347893i
\(750\) 25.9201 12.4824i 0.946467 0.455794i
\(751\) −25.4414 23.6061i −0.928369 0.861400i 0.0622491 0.998061i \(-0.480173\pi\)
−0.990618 + 0.136660i \(0.956363\pi\)
\(752\) 0.196563 + 0.0296271i 0.00716790 + 0.00108039i
\(753\) 22.5911 + 39.1289i 0.823265 + 1.42594i
\(754\) −2.22268 + 3.84979i −0.0809452 + 0.140201i
\(755\) −17.9074 + 22.4552i −0.651719 + 0.817229i
\(756\) −7.29951 9.50658i −0.265481 0.345751i
\(757\) −12.6825 15.9034i −0.460954 0.578018i 0.495976 0.868336i \(-0.334810\pi\)
−0.956930 + 0.290318i \(0.906239\pi\)
\(758\) −20.8235 + 3.13864i −0.756344 + 0.114000i
\(759\) 6.59026 + 4.49316i 0.239211 + 0.163091i
\(760\) 17.2369 + 11.7519i 0.625249 + 0.426287i
\(761\) −11.5550 + 1.74163i −0.418867 + 0.0631341i −0.355095 0.934830i \(-0.615551\pi\)
−0.0637726 + 0.997964i \(0.520313\pi\)
\(762\) −11.8442 14.8521i −0.429068 0.538035i
\(763\) 4.17975 1.91905i 0.151317 0.0694742i
\(764\) 8.00583 10.0390i 0.289641 0.363198i
\(765\) 2.74662 4.75728i 0.0993042 0.172000i
\(766\) 2.32833 + 4.03279i 0.0841261 + 0.145711i
\(767\) 10.8449 + 1.63461i 0.391588 + 0.0590223i
\(768\) 32.0099 + 29.7009i 1.15506 + 1.07174i
\(769\) 18.0265 8.68112i 0.650053 0.313049i −0.0796400 0.996824i \(-0.525377\pi\)
0.729693 + 0.683774i \(0.239663\pi\)
\(770\) −5.19134 + 4.64227i −0.187083 + 0.167296i
\(771\) 27.7703 + 13.3735i 1.00012 + 0.481634i
\(772\) −10.0746 25.6696i −0.362592 0.923869i