Properties

Label 105.2.x.a.23.2
Level 105
Weight 2
Character 105.23
Analytic conductor 0.838
Analytic rank 0
Dimension 48
CM no
Inner twists 8

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Newspace parameters

Level: \( N \) = \( 105 = 3 \cdot 5 \cdot 7 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 105.x (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.838429221223\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(12\) over \(\Q(\zeta_{12})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 23.2
Character \(\chi\) = 105.23
Dual form 105.2.x.a.32.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.17249 + 0.582118i) q^{2} +(-0.644934 + 1.60750i) q^{3} +(2.64881 - 1.52929i) q^{4} +(1.39781 + 1.74531i) q^{5} +(0.465359 - 3.86771i) q^{6} +(-2.38227 + 1.15099i) q^{7} +(-1.68355 + 1.68355i) q^{8} +(-2.16812 - 2.07346i) q^{9} +O(q^{10})\) \(q+(-2.17249 + 0.582118i) q^{2} +(-0.644934 + 1.60750i) q^{3} +(2.64881 - 1.52929i) q^{4} +(1.39781 + 1.74531i) q^{5} +(0.465359 - 3.86771i) q^{6} +(-2.38227 + 1.15099i) q^{7} +(-1.68355 + 1.68355i) q^{8} +(-2.16812 - 2.07346i) q^{9} +(-4.05271 - 2.97799i) q^{10} +(-3.88729 + 2.24433i) q^{11} +(0.750030 + 5.24426i) q^{12} +(-1.08424 - 1.08424i) q^{13} +(4.50545 - 3.88729i) q^{14} +(-3.70709 + 1.12137i) q^{15} +(-0.381115 + 0.660111i) q^{16} +(0.548929 - 2.04863i) q^{17} +(5.91723 + 3.24248i) q^{18} +(3.66075 + 2.11354i) q^{19} +(6.37164 + 2.48535i) q^{20} +(-0.313815 - 4.57182i) q^{21} +(7.13864 - 7.13864i) q^{22} +(0.840363 + 3.13628i) q^{23} +(-1.62053 - 3.79208i) q^{24} +(-1.09225 + 4.87924i) q^{25} +(2.98667 + 1.72435i) q^{26} +(4.73139 - 2.14801i) q^{27} +(-4.54998 + 6.69195i) q^{28} +1.69118 q^{29} +(7.40086 - 4.59413i) q^{30} +(0.530077 + 0.918121i) q^{31} +(1.67615 - 6.25547i) q^{32} +(-1.10071 - 7.69626i) q^{33} +4.77017i q^{34} +(-5.33881 - 2.54894i) q^{35} +(-8.91388 - 2.17653i) q^{36} +(1.54277 + 5.75771i) q^{37} +(-9.18328 - 2.46065i) q^{38} +(2.44219 - 1.04366i) q^{39} +(-5.29160 - 0.585037i) q^{40} +5.84230i q^{41} +(3.34310 + 9.74956i) q^{42} +(2.00369 + 2.00369i) q^{43} +(-6.86446 + 11.8896i) q^{44} +(0.588223 - 6.68236i) q^{45} +(-3.65136 - 6.32435i) q^{46} +(-5.10030 + 1.36662i) q^{47} +(-0.815335 - 1.03837i) q^{48} +(4.35043 - 5.48395i) q^{49} +(-0.467398 - 11.2359i) q^{50} +(2.93915 + 2.20363i) q^{51} +(-4.53008 - 1.21383i) q^{52} +(8.34677 + 2.23651i) q^{53} +(-9.02852 + 7.42076i) q^{54} +(-9.35075 - 3.64739i) q^{55} +(2.07291 - 5.94841i) q^{56} +(-5.75846 + 4.52157i) q^{57} +(-3.67409 + 0.984468i) q^{58} +(2.35137 + 4.07269i) q^{59} +(-8.10448 + 8.63953i) q^{60} +(3.88827 - 6.73469i) q^{61} +(-1.68604 - 1.68604i) q^{62} +(7.55159 + 2.44406i) q^{63} +13.0412i q^{64} +(0.376778 - 3.40792i) q^{65} +(6.87142 + 16.0793i) q^{66} +(0.569614 + 0.152628i) q^{67} +(-1.67894 - 6.26591i) q^{68} +(-5.58355 - 0.671807i) q^{69} +(13.0823 + 2.42974i) q^{70} +4.66845i q^{71} +(7.14090 - 0.159358i) q^{72} +(1.13085 - 4.22038i) q^{73} +(-6.70333 - 11.6105i) q^{74} +(-7.13896 - 4.90257i) q^{75} +12.9289 q^{76} +(6.67736 - 9.82083i) q^{77} +(-4.69811 + 3.68898i) q^{78} +(-5.78361 - 3.33917i) q^{79} +(-1.68483 + 0.257545i) q^{80} +(0.401491 + 8.99104i) q^{81} +(-3.40091 - 12.6924i) q^{82} +(11.0713 - 11.0713i) q^{83} +(-7.82288 - 11.6300i) q^{84} +(4.34280 - 1.90555i) q^{85} +(-5.51938 - 3.18661i) q^{86} +(-1.09070 + 2.71858i) q^{87} +(2.76600 - 10.3228i) q^{88} +(1.75680 - 3.04287i) q^{89} +(2.61201 + 14.8598i) q^{90} +(3.83092 + 1.33501i) q^{91} +(7.02225 + 7.02225i) q^{92} +(-1.81775 + 0.259973i) q^{93} +(10.2848 - 5.93795i) q^{94} +(1.42826 + 9.34349i) q^{95} +(8.97468 + 6.72878i) q^{96} +(-5.60466 + 5.60466i) q^{97} +(-6.25897 + 14.4463i) q^{98} +(13.0816 + 3.19418i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 2q^{3} - 24q^{6} - 12q^{7} + O(q^{10}) \) \( 48q - 2q^{3} - 24q^{6} - 12q^{7} - 8q^{10} - 10q^{12} - 16q^{13} + 4q^{15} - 8q^{16} + 14q^{18} - 28q^{21} - 8q^{22} + 4q^{25} + 40q^{27} - 60q^{28} + 40q^{30} - 24q^{31} - 4q^{33} + 8q^{36} + 4q^{37} - 16q^{40} + 14q^{42} + 16q^{43} + 40q^{45} - 32q^{46} + 44q^{48} + 8q^{51} + 36q^{52} - 40q^{55} - 88q^{57} + 56q^{58} - 50q^{60} - 8q^{61} + 44q^{63} + 76q^{66} + 12q^{67} + 140q^{70} - 34q^{72} + 52q^{73} + 6q^{75} + 64q^{76} - 120q^{78} + 20q^{81} + 104q^{82} - 24q^{85} - 46q^{87} - 84q^{90} + 72q^{91} - 44q^{93} + 12q^{96} - 120q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

\(n\) \(22\) \(31\) \(71\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.17249 + 0.582118i −1.53618 + 0.411619i −0.925031 0.379893i \(-0.875961\pi\)
−0.611154 + 0.791512i \(0.709294\pi\)
\(3\) −0.644934 + 1.60750i −0.372353 + 0.928091i
\(4\) 2.64881 1.52929i 1.32441 0.764646i
\(5\) 1.39781 + 1.74531i 0.625120 + 0.780528i
\(6\) 0.465359 3.86771i 0.189982 1.57899i
\(7\) −2.38227 + 1.15099i −0.900414 + 0.435034i
\(8\) −1.68355 + 1.68355i −0.595223 + 0.595223i
\(9\) −2.16812 2.07346i −0.722707 0.691155i
\(10\) −4.05271 2.97799i −1.28158 0.941724i
\(11\) −3.88729 + 2.24433i −1.17206 + 0.676690i −0.954165 0.299282i \(-0.903253\pi\)
−0.217896 + 0.975972i \(0.569919\pi\)
\(12\) 0.750030 + 5.24426i 0.216515 + 1.51389i
\(13\) −1.08424 1.08424i −0.300715 0.300715i 0.540578 0.841294i \(-0.318205\pi\)
−0.841294 + 0.540578i \(0.818205\pi\)
\(14\) 4.50545 3.88729i 1.20413 1.03892i
\(15\) −3.70709 + 1.12137i −0.957167 + 0.289537i
\(16\) −0.381115 + 0.660111i −0.0952788 + 0.165028i
\(17\) 0.548929 2.04863i 0.133135 0.496866i −0.866864 0.498545i \(-0.833868\pi\)
0.999999 + 0.00167924i \(0.000534519\pi\)
\(18\) 5.91723 + 3.24248i 1.39470 + 0.764261i
\(19\) 3.66075 + 2.11354i 0.839834 + 0.484878i 0.857208 0.514971i \(-0.172197\pi\)
−0.0173737 + 0.999849i \(0.505531\pi\)
\(20\) 6.37164 + 2.48535i 1.42474 + 0.555740i
\(21\) −0.313815 4.57182i −0.0684801 0.997652i
\(22\) 7.13864 7.13864i 1.52196 1.52196i
\(23\) 0.840363 + 3.13628i 0.175228 + 0.653959i 0.996513 + 0.0834407i \(0.0265909\pi\)
−0.821285 + 0.570518i \(0.806742\pi\)
\(24\) −1.62053 3.79208i −0.330788 0.774055i
\(25\) −1.09225 + 4.87924i −0.218449 + 0.975848i
\(26\) 2.98667 + 1.72435i 0.585734 + 0.338174i
\(27\) 4.73139 2.14801i 0.910557 0.413384i
\(28\) −4.54998 + 6.69195i −0.859866 + 1.26466i
\(29\) 1.69118 0.314045 0.157023 0.987595i \(-0.449810\pi\)
0.157023 + 0.987595i \(0.449810\pi\)
\(30\) 7.40086 4.59413i 1.35121 0.838770i
\(31\) 0.530077 + 0.918121i 0.0952047 + 0.164899i 0.909694 0.415279i \(-0.136316\pi\)
−0.814489 + 0.580179i \(0.802983\pi\)
\(32\) 1.67615 6.25547i 0.296304 1.10582i
\(33\) −1.10071 7.69626i −0.191610 1.33975i
\(34\) 4.77017i 0.818078i
\(35\) −5.33881 2.54894i −0.902424 0.430850i
\(36\) −8.91388 2.17653i −1.48565 0.362755i
\(37\) 1.54277 + 5.75771i 0.253631 + 0.946562i 0.968847 + 0.247659i \(0.0796613\pi\)
−0.715217 + 0.698903i \(0.753672\pi\)
\(38\) −9.18328 2.46065i −1.48973 0.399171i
\(39\) 2.44219 1.04366i 0.391063 0.167119i
\(40\) −5.29160 0.585037i −0.836675 0.0925025i
\(41\) 5.84230i 0.912414i 0.889874 + 0.456207i \(0.150792\pi\)
−0.889874 + 0.456207i \(0.849208\pi\)
\(42\) 3.34310 + 9.74956i 0.515851 + 1.50439i
\(43\) 2.00369 + 2.00369i 0.305559 + 0.305559i 0.843184 0.537625i \(-0.180678\pi\)
−0.537625 + 0.843184i \(0.680678\pi\)
\(44\) −6.86446 + 11.8896i −1.03486 + 1.79242i
\(45\) 0.588223 6.68236i 0.0876872 0.996148i
\(46\) −3.65136 6.32435i −0.538364 0.932474i
\(47\) −5.10030 + 1.36662i −0.743956 + 0.199342i −0.610835 0.791758i \(-0.709166\pi\)
−0.133120 + 0.991100i \(0.542500\pi\)
\(48\) −0.815335 1.03837i −0.117684 0.149876i
\(49\) 4.35043 5.48395i 0.621490 0.783422i
\(50\) −0.467398 11.2359i −0.0661001 1.58900i
\(51\) 2.93915 + 2.20363i 0.411564 + 0.308571i
\(52\) −4.53008 1.21383i −0.628210 0.168328i
\(53\) 8.34677 + 2.23651i 1.14652 + 0.307208i 0.781569 0.623819i \(-0.214420\pi\)
0.364949 + 0.931028i \(0.381087\pi\)
\(54\) −9.02852 + 7.42076i −1.22863 + 1.00984i
\(55\) −9.35075 3.64739i −1.26085 0.491814i
\(56\) 2.07291 5.94841i 0.277005 0.794890i
\(57\) −5.75846 + 4.52157i −0.762726 + 0.598897i
\(58\) −3.67409 + 0.984468i −0.482431 + 0.129267i
\(59\) 2.35137 + 4.07269i 0.306122 + 0.530219i 0.977510 0.210887i \(-0.0676351\pi\)
−0.671389 + 0.741106i \(0.734302\pi\)
\(60\) −8.10448 + 8.63953i −1.04628 + 1.11536i
\(61\) 3.88827 6.73469i 0.497842 0.862288i −0.502154 0.864778i \(-0.667459\pi\)
0.999997 + 0.00248951i \(0.000792436\pi\)
\(62\) −1.68604 1.68604i −0.214128 0.214128i
\(63\) 7.55159 + 2.44406i 0.951411 + 0.307923i
\(64\) 13.0412i 1.63015i
\(65\) 0.376778 3.40792i 0.0467335 0.422700i
\(66\) 6.87142 + 16.0793i 0.845813 + 1.97923i
\(67\) 0.569614 + 0.152628i 0.0695895 + 0.0186464i 0.293446 0.955976i \(-0.405198\pi\)
−0.223856 + 0.974622i \(0.571865\pi\)
\(68\) −1.67894 6.26591i −0.203602 0.759853i
\(69\) −5.58355 0.671807i −0.672180 0.0808761i
\(70\) 13.0823 + 2.42974i 1.56364 + 0.290409i
\(71\) 4.66845i 0.554043i 0.960864 + 0.277022i \(0.0893473\pi\)
−0.960864 + 0.277022i \(0.910653\pi\)
\(72\) 7.14090 0.159358i 0.841563 0.0187805i
\(73\) 1.13085 4.22038i 0.132356 0.493958i −0.867639 0.497195i \(-0.834363\pi\)
0.999995 + 0.00323633i \(0.00103016\pi\)
\(74\) −6.70333 11.6105i −0.779246 1.34969i
\(75\) −7.13896 4.90257i −0.824336 0.566101i
\(76\) 12.9289 1.48304
\(77\) 6.67736 9.82083i 0.760956 1.11919i
\(78\) −4.69811 + 3.68898i −0.531956 + 0.417695i
\(79\) −5.78361 3.33917i −0.650707 0.375686i 0.138020 0.990429i \(-0.455926\pi\)
−0.788727 + 0.614743i \(0.789260\pi\)
\(80\) −1.68483 + 0.257545i −0.188370 + 0.0287944i
\(81\) 0.401491 + 8.99104i 0.0446102 + 0.999004i
\(82\) −3.40091 12.6924i −0.375567 1.40164i
\(83\) 11.0713 11.0713i 1.21523 1.21523i 0.245948 0.969283i \(-0.420901\pi\)
0.969283 0.245948i \(-0.0790991\pi\)
\(84\) −7.82288 11.6300i −0.853547 1.26893i
\(85\) 4.34280 1.90555i 0.471043 0.206685i
\(86\) −5.51938 3.18661i −0.595170 0.343621i
\(87\) −1.09070 + 2.71858i −0.116936 + 0.291462i
\(88\) 2.76600 10.3228i 0.294856 1.10042i
\(89\) 1.75680 3.04287i 0.186221 0.322544i −0.757766 0.652526i \(-0.773709\pi\)
0.943987 + 0.329982i \(0.107043\pi\)
\(90\) 2.61201 + 14.8598i 0.275330 + 1.56636i
\(91\) 3.83092 + 1.33501i 0.401590 + 0.139947i
\(92\) 7.02225 + 7.02225i 0.732120 + 0.732120i
\(93\) −1.81775 + 0.259973i −0.188491 + 0.0269579i
\(94\) 10.2848 5.93795i 1.06080 0.612453i
\(95\) 1.42826 + 9.34349i 0.146536 + 0.958622i
\(96\) 8.97468 + 6.72878i 0.915974 + 0.686753i
\(97\) −5.60466 + 5.60466i −0.569067 + 0.569067i −0.931867 0.362800i \(-0.881821\pi\)
0.362800 + 0.931867i \(0.381821\pi\)
\(98\) −6.25897 + 14.4463i −0.632251 + 1.45930i
\(99\) 13.0816 + 3.19418i 1.31475 + 0.321027i
\(100\) 4.56863 + 14.5946i 0.456863 + 1.45946i
\(101\) 11.4573 6.61487i 1.14004 0.658204i 0.193601 0.981080i \(-0.437983\pi\)
0.946441 + 0.322877i \(0.104650\pi\)
\(102\) −7.66806 3.07645i −0.759251 0.304614i
\(103\) 3.40231 0.911647i 0.335240 0.0898273i −0.0872723 0.996184i \(-0.527815\pi\)
0.422512 + 0.906357i \(0.361148\pi\)
\(104\) 3.65075 0.357985
\(105\) 7.54061 6.93825i 0.735888 0.677104i
\(106\) −19.4352 −1.88771
\(107\) −8.98539 + 2.40763i −0.868651 + 0.232754i −0.665504 0.746394i \(-0.731783\pi\)
−0.203146 + 0.979148i \(0.565117\pi\)
\(108\) 9.24763 12.9253i 0.889854 1.24374i
\(109\) −16.3639 + 9.44773i −1.56738 + 0.904928i −0.570909 + 0.821013i \(0.693409\pi\)
−0.996473 + 0.0839152i \(0.973258\pi\)
\(110\) 22.4376 + 2.48070i 2.13934 + 0.236525i
\(111\) −10.2505 1.23333i −0.972936 0.117063i
\(112\) 0.148137 2.01122i 0.0139976 0.190043i
\(113\) −8.67219 + 8.67219i −0.815811 + 0.815811i −0.985498 0.169687i \(-0.945724\pi\)
0.169687 + 0.985498i \(0.445724\pi\)
\(114\) 9.87811 13.1752i 0.925170 1.23397i
\(115\) −4.29912 + 5.85062i −0.400895 + 0.545573i
\(116\) 4.47963 2.58632i 0.415923 0.240133i
\(117\) 0.102630 + 4.59891i 0.00948817 + 0.425170i
\(118\) −7.47911 7.47911i −0.688508 0.688508i
\(119\) 1.05026 + 5.51221i 0.0962774 + 0.505303i
\(120\) 4.35318 8.12894i 0.397389 0.742067i
\(121\) 4.57399 7.92239i 0.415818 0.720217i
\(122\) −4.52687 + 16.8945i −0.409843 + 1.52956i
\(123\) −9.39151 3.76790i −0.846804 0.339740i
\(124\) 2.80815 + 1.62129i 0.252179 + 0.145596i
\(125\) −10.0426 + 4.91395i −0.898234 + 0.439517i
\(126\) −17.8285 0.913792i −1.58829 0.0814070i
\(127\) 6.12576 6.12576i 0.543573 0.543573i −0.381001 0.924574i \(-0.624421\pi\)
0.924574 + 0.381001i \(0.124421\pi\)
\(128\) −4.23923 15.8210i −0.374698 1.39839i
\(129\) −4.51317 + 1.92868i −0.397363 + 0.169811i
\(130\) 1.16526 + 7.62300i 0.102200 + 0.668581i
\(131\) −15.1848 8.76695i −1.32670 0.765972i −0.341915 0.939731i \(-0.611075\pi\)
−0.984788 + 0.173759i \(0.944409\pi\)
\(132\) −14.6854 18.7026i −1.27820 1.62785i
\(133\) −11.1536 0.821516i −0.967137 0.0712344i
\(134\) −1.32633 −0.114578
\(135\) 10.3625 + 5.25525i 0.891866 + 0.452300i
\(136\) 2.52482 + 4.37311i 0.216501 + 0.374991i
\(137\) 1.39894 5.22093i 0.119520 0.446054i −0.880065 0.474853i \(-0.842501\pi\)
0.999585 + 0.0287983i \(0.00916806\pi\)
\(138\) 12.5213 1.79078i 1.06588 0.152442i
\(139\) 6.37838i 0.541007i −0.962719 0.270504i \(-0.912810\pi\)
0.962719 0.270504i \(-0.0871902\pi\)
\(140\) −18.0396 + 1.41294i −1.52462 + 0.119415i
\(141\) 1.09251 9.08012i 0.0920061 0.764684i
\(142\) −2.71759 10.1422i −0.228055 0.851112i
\(143\) 6.64816 + 1.78137i 0.555947 + 0.148966i
\(144\) 2.19502 0.640971i 0.182918 0.0534143i
\(145\) 2.36396 + 2.95165i 0.196316 + 0.245121i
\(146\) 9.82703i 0.813291i
\(147\) 6.00972 + 10.5301i 0.495674 + 0.868509i
\(148\) 12.8917 + 12.8917i 1.05969 + 1.05969i
\(149\) 5.54298 9.60071i 0.454098 0.786521i −0.544538 0.838736i \(-0.683295\pi\)
0.998636 + 0.0522152i \(0.0166282\pi\)
\(150\) 18.3632 + 6.49509i 1.49935 + 0.530322i
\(151\) 5.27465 + 9.13596i 0.429245 + 0.743474i 0.996806 0.0798574i \(-0.0254465\pi\)
−0.567562 + 0.823331i \(0.692113\pi\)
\(152\) −9.72128 + 2.60481i −0.788500 + 0.211278i
\(153\) −5.43791 + 3.30349i −0.439629 + 0.267072i
\(154\) −8.78965 + 25.2227i −0.708290 + 2.03250i
\(155\) −0.861461 + 2.20851i −0.0691942 + 0.177392i
\(156\) 4.87284 6.49927i 0.390140 0.520358i
\(157\) −3.21905 0.862542i −0.256908 0.0688383i 0.128066 0.991766i \(-0.459123\pi\)
−0.384974 + 0.922927i \(0.625790\pi\)
\(158\) 14.5086 + 3.88758i 1.15425 + 0.309279i
\(159\) −8.97831 + 11.9750i −0.712026 + 0.949683i
\(160\) 13.2607 5.81857i 1.04835 0.459998i
\(161\) −5.61180 6.50421i −0.442272 0.512603i
\(162\) −6.10608 19.2993i −0.479739 1.51629i
\(163\) 6.89910 1.84861i 0.540379 0.144794i 0.0217024 0.999764i \(-0.493091\pi\)
0.518677 + 0.854970i \(0.326425\pi\)
\(164\) 8.93459 + 15.4752i 0.697674 + 1.20841i
\(165\) 11.8938 12.6790i 0.925931 0.987060i
\(166\) −17.6075 + 30.4971i −1.36661 + 2.36703i
\(167\) 11.9043 + 11.9043i 0.921184 + 0.921184i 0.997113 0.0759296i \(-0.0241924\pi\)
−0.0759296 + 0.997113i \(0.524192\pi\)
\(168\) 8.22519 + 7.16854i 0.634587 + 0.553065i
\(169\) 10.6488i 0.819141i
\(170\) −8.32545 + 6.66781i −0.638533 + 0.511397i
\(171\) −3.55461 12.1728i −0.271828 0.930880i
\(172\) 8.37161 + 2.24317i 0.638329 + 0.171040i
\(173\) 0.0162650 + 0.0607017i 0.00123660 + 0.00461507i 0.966541 0.256511i \(-0.0825729\pi\)
−0.965305 + 0.261126i \(0.915906\pi\)
\(174\) 0.787009 6.54101i 0.0596630 0.495873i
\(175\) −3.01395 12.8808i −0.227833 0.973700i
\(176\) 3.42139i 0.257897i
\(177\) −8.06333 + 1.15321i −0.606077 + 0.0866807i
\(178\) −2.04533 + 7.63328i −0.153304 + 0.572139i
\(179\) −9.95768 17.2472i −0.744272 1.28912i −0.950534 0.310620i \(-0.899463\pi\)
0.206263 0.978497i \(-0.433870\pi\)
\(180\) −8.66119 18.5999i −0.645567 1.38635i
\(181\) 13.0871 0.972754 0.486377 0.873749i \(-0.338318\pi\)
0.486377 + 0.873749i \(0.338318\pi\)
\(182\) −9.09978 0.670244i −0.674520 0.0496818i
\(183\) 8.31834 + 10.5938i 0.614909 + 0.783119i
\(184\) −6.69485 3.86528i −0.493551 0.284952i
\(185\) −7.89251 + 10.7408i −0.580269 + 0.789681i
\(186\) 3.79770 1.62293i 0.278461 0.118999i
\(187\) 2.46395 + 9.19559i 0.180182 + 0.672448i
\(188\) −11.4198 + 11.4198i −0.832873 + 0.832873i
\(189\) −8.79911 + 10.5629i −0.640041 + 0.768341i
\(190\) −8.54189 19.4672i −0.619694 1.41230i
\(191\) 10.0091 + 5.77878i 0.724236 + 0.418138i 0.816310 0.577615i \(-0.196016\pi\)
−0.0920740 + 0.995752i \(0.529350\pi\)
\(192\) −20.9638 8.41073i −1.51293 0.606992i
\(193\) 3.64257 13.5943i 0.262198 0.978536i −0.701745 0.712428i \(-0.747595\pi\)
0.963943 0.266108i \(-0.0857378\pi\)
\(194\) 8.91351 15.4387i 0.639953 1.10843i
\(195\) 5.23523 + 2.80355i 0.374903 + 0.200766i
\(196\) 3.13690 21.1790i 0.224064 1.51279i
\(197\) 17.3744 + 17.3744i 1.23787 + 1.23787i 0.960868 + 0.277006i \(0.0893423\pi\)
0.277006 + 0.960868i \(0.410658\pi\)
\(198\) −30.2791 + 0.675715i −2.15184 + 0.0480210i
\(199\) 12.5236 7.23048i 0.887771 0.512555i 0.0145585 0.999894i \(-0.495366\pi\)
0.873213 + 0.487339i \(0.162032\pi\)
\(200\) −6.37558 10.0533i −0.450822 0.710874i
\(201\) −0.612713 + 0.817221i −0.0432174 + 0.0576423i
\(202\) −21.0402 + 21.0402i −1.48039 + 1.48039i
\(203\) −4.02886 + 1.94654i −0.282771 + 0.136620i
\(204\) 11.1553 + 1.34219i 0.781025 + 0.0939722i
\(205\) −10.1967 + 8.16644i −0.712165 + 0.570369i
\(206\) −6.86081 + 3.96109i −0.478016 + 0.275982i
\(207\) 4.68095 8.54229i 0.325349 0.593730i
\(208\) 1.12894 0.302500i 0.0782782 0.0209746i
\(209\) −18.9739 −1.31245
\(210\) −12.3430 + 19.4628i −0.851750 + 1.34306i
\(211\) −12.6498 −0.870850 −0.435425 0.900225i \(-0.643402\pi\)
−0.435425 + 0.900225i \(0.643402\pi\)
\(212\) 25.5293 6.84056i 1.75336 0.469811i
\(213\) −7.50454 3.01084i −0.514203 0.206299i
\(214\) 18.1192 10.4611i 1.23860 0.715107i
\(215\) −0.696287 + 6.29784i −0.0474864 + 0.429509i
\(216\) −4.34924 + 11.5818i −0.295928 + 0.788041i
\(217\) −2.31954 1.57710i −0.157461 0.107060i
\(218\) 30.0509 30.0509i 2.03530 2.03530i
\(219\) 6.05495 + 4.53971i 0.409155 + 0.306765i
\(220\) −30.3463 + 4.63877i −2.04595 + 0.312746i
\(221\) −2.81639 + 1.62604i −0.189451 + 0.109379i
\(222\) 22.9871 3.28760i 1.54279 0.220649i
\(223\) 14.9882 + 14.9882i 1.00368 + 1.00368i 0.999993 + 0.00368996i \(0.00117455\pi\)
0.00368996 + 0.999993i \(0.498825\pi\)
\(224\) 3.20697 + 16.8315i 0.214274 + 1.12460i
\(225\) 12.4851 8.31405i 0.832337 0.554270i
\(226\) 13.7920 23.8885i 0.917432 1.58904i
\(227\) 3.93292 14.6779i 0.261037 0.974203i −0.703595 0.710602i \(-0.748423\pi\)
0.964632 0.263602i \(-0.0849105\pi\)
\(228\) −8.33826 + 20.7832i −0.552215 + 1.37640i
\(229\) 9.62472 + 5.55684i 0.636020 + 0.367206i 0.783080 0.621922i \(-0.213648\pi\)
−0.147060 + 0.989128i \(0.546981\pi\)
\(230\) 5.93406 15.2130i 0.391280 1.00312i
\(231\) 11.4805 + 17.0677i 0.755364 + 1.12297i
\(232\) −2.84719 + 2.84719i −0.186927 + 0.186927i
\(233\) 2.39799 + 8.94940i 0.157097 + 0.586295i 0.998917 + 0.0465356i \(0.0148181\pi\)
−0.841819 + 0.539759i \(0.818515\pi\)
\(234\) −2.90007 9.93136i −0.189584 0.649233i
\(235\) −9.51445 6.99135i −0.620654 0.456065i
\(236\) 12.4567 + 7.19186i 0.810859 + 0.468150i
\(237\) 9.09777 7.14362i 0.590964 0.464028i
\(238\) −5.49044 11.3638i −0.355892 0.736609i
\(239\) −24.2150 −1.56634 −0.783168 0.621810i \(-0.786398\pi\)
−0.783168 + 0.621810i \(0.786398\pi\)
\(240\) 0.672600 2.87446i 0.0434161 0.185546i
\(241\) 5.06343 + 8.77012i 0.326164 + 0.564933i 0.981747 0.190190i \(-0.0609105\pi\)
−0.655583 + 0.755123i \(0.727577\pi\)
\(242\) −5.32520 + 19.8739i −0.342317 + 1.27754i
\(243\) −14.7120 5.15323i −0.943778 0.330580i
\(244\) 23.7852i 1.52269i
\(245\) 15.6523 0.0726678i 0.999989 0.00464258i
\(246\) 22.5963 + 2.71877i 1.44069 + 0.173342i
\(247\) −1.67756 6.26074i −0.106741 0.398361i
\(248\) −2.43811 0.653289i −0.154820 0.0414839i
\(249\) 10.6569 + 24.9373i 0.675350 + 1.58034i
\(250\) 18.9569 16.5215i 1.19894 1.04491i
\(251\) 21.7383i 1.37211i −0.727551 0.686054i \(-0.759342\pi\)
0.727551 0.686054i \(-0.240658\pi\)
\(252\) 23.7404 5.07473i 1.49551 0.319678i
\(253\) −10.3056 10.3056i −0.647905 0.647905i
\(254\) −9.74225 + 16.8741i −0.611283 + 1.05877i
\(255\) 0.262346 + 8.21001i 0.0164287 + 0.514131i
\(256\) 5.37816 + 9.31524i 0.336135 + 0.582202i
\(257\) 3.08191 0.825796i 0.192244 0.0515117i −0.161412 0.986887i \(-0.551605\pi\)
0.353657 + 0.935375i \(0.384938\pi\)
\(258\) 8.68212 6.81725i 0.540525 0.424423i
\(259\) −10.3024 11.9407i −0.640160 0.741959i
\(260\) −4.21369 9.60313i −0.261322 0.595561i
\(261\) −3.66669 3.50661i −0.226963 0.217054i
\(262\) 38.0923 + 10.2068i 2.35335 + 0.630578i
\(263\) −26.4411 7.08487i −1.63043 0.436872i −0.676387 0.736547i \(-0.736455\pi\)
−0.954041 + 0.299675i \(0.903122\pi\)
\(264\) 14.8101 + 11.1039i 0.911499 + 0.683398i
\(265\) 7.76380 + 17.6940i 0.476927 + 1.08693i
\(266\) 24.7093 4.70795i 1.51502 0.288663i
\(267\) 3.75840 + 4.78651i 0.230010 + 0.292930i
\(268\) 1.74221 0.466825i 0.106423 0.0285159i
\(269\) 2.40139 + 4.15933i 0.146415 + 0.253599i 0.929900 0.367812i \(-0.119893\pi\)
−0.783485 + 0.621411i \(0.786560\pi\)
\(270\) −25.5717 5.38478i −1.55625 0.327707i
\(271\) −3.25232 + 5.63318i −0.197564 + 0.342191i −0.947738 0.319049i \(-0.896636\pi\)
0.750174 + 0.661241i \(0.229970\pi\)
\(272\) 1.14312 + 1.14312i 0.0693117 + 0.0693117i
\(273\) −4.61671 + 5.29722i −0.279416 + 0.320602i
\(274\) 12.1568i 0.734418i
\(275\) −6.70474 21.4184i −0.404311 1.29158i
\(276\) −15.8172 + 6.75938i −0.952081 + 0.406867i
\(277\) 1.18369 + 0.317168i 0.0711210 + 0.0190568i 0.294204 0.955743i \(-0.404945\pi\)
−0.223083 + 0.974799i \(0.571612\pi\)
\(278\) 3.71297 + 13.8570i 0.222689 + 0.831087i
\(279\) 0.754419 3.08969i 0.0451659 0.184975i
\(280\) 13.2794 4.69687i 0.793595 0.280692i
\(281\) 12.8585i 0.767073i 0.923526 + 0.383537i \(0.125294\pi\)
−0.923526 + 0.383537i \(0.874706\pi\)
\(282\) 2.91223 + 20.3625i 0.173420 + 1.21257i
\(283\) −0.376029 + 1.40336i −0.0223526 + 0.0834209i −0.976201 0.216867i \(-0.930416\pi\)
0.953849 + 0.300288i \(0.0970828\pi\)
\(284\) 7.13942 + 12.3658i 0.423647 + 0.733778i
\(285\) −15.9408 3.73001i −0.944252 0.220947i
\(286\) −15.4801 −0.915355
\(287\) −6.72445 13.9179i −0.396932 0.821550i
\(288\) −16.6046 + 10.0872i −0.978435 + 0.594393i
\(289\) 10.8269 + 6.25090i 0.636875 + 0.367700i
\(290\) −6.85389 5.03633i −0.402474 0.295744i
\(291\) −5.39486 12.6241i −0.316253 0.740040i
\(292\) −3.45879 12.9084i −0.202411 0.755407i
\(293\) −1.33304 + 1.33304i −0.0778769 + 0.0778769i −0.744972 0.667095i \(-0.767537\pi\)
0.667095 + 0.744972i \(0.267537\pi\)
\(294\) −19.1858 19.3782i −1.11894 1.13016i
\(295\) −3.82135 + 9.79673i −0.222488 + 0.570387i
\(296\) −12.2907 7.09604i −0.714383 0.412449i
\(297\) −13.5714 + 18.9687i −0.787495 + 1.10068i
\(298\) −6.45333 + 24.0841i −0.373831 + 1.39516i
\(299\) 2.48933 4.31165i 0.143962 0.249349i
\(300\) −26.4072 2.06844i −1.52462 0.119421i
\(301\) −7.07955 2.46710i −0.408059 0.142201i
\(302\) −16.7773 16.7773i −0.965427 0.965427i
\(303\) 3.24421 + 22.6837i 0.186375 + 1.30315i
\(304\) −2.79034 + 1.61100i −0.160037 + 0.0923973i
\(305\) 17.1892 2.62756i 0.984252 0.150454i
\(306\) 9.89079 10.3423i 0.565419 0.591231i
\(307\) 9.34919 9.34919i 0.533586 0.533586i −0.388051 0.921638i \(-0.626852\pi\)
0.921638 + 0.388051i \(0.126852\pi\)
\(308\) 2.66816 36.2252i 0.152033 2.06412i
\(309\) −0.728794 + 6.05718i −0.0414596 + 0.344581i
\(310\) 0.585905 5.29945i 0.0332772 0.300988i
\(311\) 6.28291 3.62744i 0.356271 0.205693i −0.311173 0.950353i \(-0.600722\pi\)
0.667444 + 0.744660i \(0.267388\pi\)
\(312\) −2.35449 + 5.86858i −0.133297 + 0.332243i
\(313\) −21.6144 + 5.79157i −1.22172 + 0.327359i −0.811350 0.584561i \(-0.801267\pi\)
−0.410369 + 0.911919i \(0.634600\pi\)
\(314\) 7.49546 0.422993
\(315\) 6.29005 + 16.5962i 0.354404 + 0.935092i
\(316\) −20.4263 −1.14907
\(317\) −19.5090 + 5.22742i −1.09573 + 0.293601i −0.761026 0.648721i \(-0.775304\pi\)
−0.334708 + 0.942322i \(0.608638\pi\)
\(318\) 12.5344 31.2421i 0.702896 1.75197i
\(319\) −6.57412 + 3.79557i −0.368080 + 0.212511i
\(320\) −22.7610 + 18.2292i −1.27238 + 1.01904i
\(321\) 1.92472 15.9968i 0.107427 0.892854i
\(322\) 15.9778 + 10.8636i 0.890409 + 0.605406i
\(323\) 6.33935 6.33935i 0.352731 0.352731i
\(324\) 14.8134 + 23.2016i 0.822967 + 1.28898i
\(325\) 6.47455 4.10603i 0.359143 0.227761i
\(326\) −13.9121 + 8.03218i −0.770522 + 0.444861i
\(327\) −4.63357 32.3982i −0.256237 1.79163i
\(328\) −9.83578 9.83578i −0.543090 0.543090i
\(329\) 10.5773 9.12608i 0.583147 0.503137i
\(330\) −18.4585 + 34.4686i −1.01611 + 1.89744i
\(331\) −3.14089 + 5.44018i −0.172639 + 0.299019i −0.939342 0.342983i \(-0.888563\pi\)
0.766703 + 0.642002i \(0.221896\pi\)
\(332\) 12.3945 46.2570i 0.680237 2.53868i
\(333\) 8.59349 15.6823i 0.470920 0.859385i
\(334\) −32.7917 18.9323i −1.79428 1.03593i
\(335\) 0.529830 + 1.20750i 0.0289477 + 0.0659728i
\(336\) 3.13751 + 1.53524i 0.171165 + 0.0837541i
\(337\) −21.9068 + 21.9068i −1.19334 + 1.19334i −0.217217 + 0.976123i \(0.569698\pi\)
−0.976123 + 0.217217i \(0.930302\pi\)
\(338\) 6.19887 + 23.1345i 0.337174 + 1.25835i
\(339\) −8.34756 19.5335i −0.453377 1.06092i
\(340\) 8.58913 11.6888i 0.465811 0.633917i
\(341\) −4.12112 2.37933i −0.223171 0.128848i
\(342\) 14.8084 + 24.3762i 0.800746 + 1.31811i
\(343\) −4.05191 + 18.0716i −0.218783 + 0.975774i
\(344\) −6.74660 −0.363752
\(345\) −6.63223 10.6841i −0.357067 0.575213i
\(346\) −0.0706711 0.122406i −0.00379930 0.00658058i
\(347\) −0.709546 + 2.64806i −0.0380904 + 0.142155i −0.982352 0.187040i \(-0.940111\pi\)
0.944262 + 0.329195i \(0.106777\pi\)
\(348\) 1.26844 + 8.86901i 0.0679955 + 0.475429i
\(349\) 21.9804i 1.17658i 0.808650 + 0.588291i \(0.200199\pi\)
−0.808650 + 0.588291i \(0.799801\pi\)
\(350\) 14.0459 + 26.2291i 0.750788 + 1.40200i
\(351\) −7.45895 2.80102i −0.398129 0.149507i
\(352\) 7.52365 + 28.0786i 0.401012 + 1.49660i
\(353\) 8.80395 + 2.35901i 0.468587 + 0.125558i 0.485383 0.874301i \(-0.338680\pi\)
−0.0167963 + 0.999859i \(0.505347\pi\)
\(354\) 16.8462 7.19915i 0.895366 0.382630i
\(355\) −8.14791 + 6.52561i −0.432446 + 0.346344i
\(356\) 10.7467i 0.569572i
\(357\) −9.53823 1.86671i −0.504816 0.0987968i
\(358\) 31.6729 + 31.6729i 1.67396 + 1.67396i
\(359\) 9.46634 16.3962i 0.499614 0.865357i −0.500386 0.865803i \(-0.666808\pi\)
1.00000 0.000445509i \(0.000141810\pi\)
\(360\) 10.2598 + 12.2404i 0.540737 + 0.645124i
\(361\) −0.565929 0.980219i −0.0297858 0.0515905i
\(362\) −28.4315 + 7.61821i −1.49433 + 0.400404i
\(363\) 9.78532 + 12.4621i 0.513596 + 0.654091i
\(364\) 12.1890 2.32242i 0.638877 0.121728i
\(365\) 8.94661 3.92561i 0.468287 0.205476i
\(366\) −24.2384 18.1728i −1.26696 0.949906i
\(367\) 2.69485 + 0.722084i 0.140670 + 0.0376925i 0.328467 0.944515i \(-0.393468\pi\)
−0.187797 + 0.982208i \(0.560135\pi\)
\(368\) −2.39057 0.640550i −0.124617 0.0333910i
\(369\) 12.1138 12.6668i 0.630620 0.659408i
\(370\) 10.8940 27.9287i 0.566352 1.45195i
\(371\) −22.4585 + 4.27910i −1.16599 + 0.222160i
\(372\) −4.41729 + 3.46848i −0.229026 + 0.179832i
\(373\) 11.7592 3.15087i 0.608870 0.163146i 0.0588067 0.998269i \(-0.481270\pi\)
0.550063 + 0.835123i \(0.314604\pi\)
\(374\) −10.7058 18.5430i −0.553585 0.958837i
\(375\) −1.42239 19.3126i −0.0734519 0.997299i
\(376\) 6.28582 10.8874i 0.324166 0.561473i
\(377\) −1.83366 1.83366i −0.0944381 0.0944381i
\(378\) 12.9671 28.0700i 0.666957 1.44377i
\(379\) 13.7261i 0.705060i −0.935800 0.352530i \(-0.885321\pi\)
0.935800 0.352530i \(-0.114679\pi\)
\(380\) 18.0721 + 22.5649i 0.927080 + 1.15756i
\(381\) 5.89645 + 13.7979i 0.302084 + 0.706886i
\(382\) −25.1087 6.72786i −1.28467 0.344227i
\(383\) 8.82340 + 32.9294i 0.450855 + 1.68261i 0.699997 + 0.714146i \(0.253185\pi\)
−0.249142 + 0.968467i \(0.580149\pi\)
\(384\) 28.1663 + 3.38894i 1.43736 + 0.172941i
\(385\) 26.4741 2.07357i 1.34925 0.105679i
\(386\) 31.6538i 1.61114i
\(387\) −0.189661 8.49881i −0.00964101 0.432019i
\(388\) −6.27453 + 23.4169i −0.318541 + 1.18881i
\(389\) 17.0556 + 29.5411i 0.864751 + 1.49779i 0.867294 + 0.497796i \(0.165857\pi\)
−0.00254324 + 0.999997i \(0.500810\pi\)
\(390\) −13.0055 3.04317i −0.658559 0.154097i
\(391\) 6.88637 0.348259
\(392\) 1.90834 + 16.5566i 0.0963858 + 0.836236i
\(393\) 23.8861 18.7555i 1.20489 0.946089i
\(394\) −47.8597 27.6318i −2.41114 1.39207i
\(395\) −2.25650 14.7618i −0.113537 0.742744i
\(396\) 39.5356 11.5449i 1.98674 0.580151i
\(397\) −3.63606 13.5700i −0.182489 0.681057i −0.995154 0.0983265i \(-0.968651\pi\)
0.812666 0.582730i \(-0.198016\pi\)
\(398\) −22.9983 + 22.9983i −1.15280 + 1.15280i
\(399\) 8.51390 17.3996i 0.426228 0.871067i
\(400\) −2.80457 2.58056i −0.140229 0.129028i
\(401\) 15.1489 + 8.74623i 0.756501 + 0.436766i 0.828038 0.560672i \(-0.189457\pi\)
−0.0715372 + 0.997438i \(0.522790\pi\)
\(402\) 0.855396 2.13208i 0.0426633 0.106338i
\(403\) 0.420734 1.57020i 0.0209582 0.0782172i
\(404\) 20.2321 35.0431i 1.00659 1.74346i
\(405\) −15.1310 + 13.2685i −0.751865 + 0.659318i
\(406\) 7.61955 6.57412i 0.378152 0.326268i
\(407\) −18.9194 18.9194i −0.937799 0.937799i
\(408\) −8.65812 + 1.23828i −0.428641 + 0.0613039i
\(409\) 11.6480 6.72496i 0.575955 0.332528i −0.183569 0.983007i \(-0.558765\pi\)
0.759524 + 0.650479i \(0.225432\pi\)
\(410\) 17.3983 23.6772i 0.859242 1.16933i
\(411\) 7.49043 + 5.61596i 0.369475 + 0.277015i
\(412\) 7.61791 7.61791i 0.375308 0.375308i
\(413\) −10.2892 6.99584i −0.506300 0.344243i
\(414\) −5.19671 + 21.2829i −0.255404 + 1.04600i
\(415\) 34.7984 + 3.84730i 1.70819 + 0.188857i
\(416\) −8.59981 + 4.96511i −0.421641 + 0.243434i
\(417\) 10.2533 + 4.11363i 0.502104 + 0.201446i
\(418\) 41.2205 11.0450i 2.01616 0.540229i
\(419\) 35.0036 1.71004 0.855018 0.518598i \(-0.173546\pi\)
0.855018 + 0.518598i \(0.173546\pi\)
\(420\) 9.36304 29.9099i 0.456869 1.45945i
\(421\) 10.4231 0.507989 0.253995 0.967206i \(-0.418255\pi\)
0.253995 + 0.967206i \(0.418255\pi\)
\(422\) 27.4817 7.36369i 1.33779 0.358459i
\(423\) 13.8917 + 7.61229i 0.675438 + 0.370122i
\(424\) −17.8174 + 10.2869i −0.865292 + 0.499576i
\(425\) 9.39620 + 4.91596i 0.455783 + 0.238459i
\(426\) 18.0562 + 2.17251i 0.874827 + 0.105258i
\(427\) −1.51134 + 20.5192i −0.0731390 + 0.992995i
\(428\) −20.1186 + 20.1186i −0.972471 + 0.972471i
\(429\) −7.15118 + 9.53806i −0.345262 + 0.460502i
\(430\) −2.15341 14.0873i −0.103846 0.679351i
\(431\) 13.7352 7.93000i 0.661600 0.381975i −0.131287 0.991344i \(-0.541911\pi\)
0.792886 + 0.609370i \(0.208577\pi\)
\(432\) −0.385281 + 3.94188i −0.0185369 + 0.189654i
\(433\) −25.6695 25.6695i −1.23360 1.23360i −0.962572 0.271024i \(-0.912638\pi\)
−0.271024 0.962572i \(-0.587362\pi\)
\(434\) 5.95724 + 2.07599i 0.285956 + 0.0996506i
\(435\) −6.26938 + 1.89645i −0.300594 + 0.0909276i
\(436\) −28.8967 + 50.0505i −1.38390 + 2.39699i
\(437\) −3.55227 + 13.2573i −0.169928 + 0.634181i
\(438\) −15.7970 6.33779i −0.754808 0.302831i
\(439\) 18.5791 + 10.7267i 0.886734 + 0.511956i 0.872873 0.487948i \(-0.162254\pi\)
0.0138613 + 0.999904i \(0.495588\pi\)
\(440\) 21.8830 9.60186i 1.04323 0.457751i
\(441\) −20.8030 + 2.86941i −0.990621 + 0.136639i
\(442\) 5.17203 5.17203i 0.246009 0.246009i
\(443\) −5.94505 22.1872i −0.282458 1.05415i −0.950677 0.310183i \(-0.899610\pi\)
0.668219 0.743965i \(-0.267057\pi\)
\(444\) −29.0378 + 12.4092i −1.37807 + 0.588913i
\(445\) 7.76645 1.18719i 0.368165 0.0562781i
\(446\) −41.2866 23.8368i −1.95498 1.12871i
\(447\) 11.8583 + 15.1022i 0.560879 + 0.714308i
\(448\) −15.0104 31.0677i −0.709173 1.46781i
\(449\) −16.0964 −0.759636 −0.379818 0.925061i \(-0.624013\pi\)
−0.379818 + 0.925061i \(0.624013\pi\)
\(450\) −22.2839 + 25.3300i −1.05047 + 1.19407i
\(451\) −13.1120 22.7107i −0.617421 1.06940i
\(452\) −9.70868 + 36.2333i −0.456658 + 1.70427i
\(453\) −18.0879 + 2.58691i −0.849842 + 0.121544i
\(454\) 34.1770i 1.60400i
\(455\) 3.02490 + 8.55225i 0.141810 + 0.400936i
\(456\) 2.08235 17.3069i 0.0975150 0.810470i
\(457\) −4.73167 17.6588i −0.221338 0.826045i −0.983839 0.179058i \(-0.942695\pi\)
0.762500 0.646988i \(-0.223972\pi\)
\(458\) −24.1444 6.46946i −1.12819 0.302298i
\(459\) −1.80328 10.8720i −0.0841698 0.507460i
\(460\) −2.44025 + 22.0718i −0.113777 + 1.02910i
\(461\) 11.0171i 0.513119i 0.966528 + 0.256560i \(0.0825890\pi\)
−0.966528 + 0.256560i \(0.917411\pi\)
\(462\) −34.8768 30.3963i −1.62261 1.41417i
\(463\) −16.6150 16.6150i −0.772166 0.772166i 0.206319 0.978485i \(-0.433852\pi\)
−0.978485 + 0.206319i \(0.933852\pi\)
\(464\) −0.644536 + 1.11637i −0.0299219 + 0.0518262i
\(465\) −2.99460 2.80914i −0.138871 0.130271i
\(466\) −10.4192 18.0466i −0.482661 0.835993i
\(467\) 19.6139 5.25552i 0.907621 0.243196i 0.225335 0.974281i \(-0.427652\pi\)
0.682286 + 0.731085i \(0.260986\pi\)
\(468\) 7.30493 + 12.0247i 0.337670 + 0.555842i
\(469\) −1.53265 + 0.292022i −0.0707712 + 0.0134843i
\(470\) 24.7399 + 9.65013i 1.14116 + 0.445127i
\(471\) 3.46261 4.61834i 0.159549 0.212802i
\(472\) −10.8152 2.89792i −0.497810 0.133388i
\(473\) −12.2858 3.29198i −0.564903 0.151365i
\(474\) −15.6064 + 20.8154i −0.716826 + 0.956084i
\(475\) −14.3109 + 15.5532i −0.656629 + 0.713630i
\(476\) 11.2117 + 12.9946i 0.513888 + 0.595608i
\(477\) −13.4595 22.1558i −0.616267 1.01444i
\(478\) 52.6069 14.0960i 2.40618 0.644734i
\(479\) −2.76000 4.78046i −0.126108 0.218425i 0.796058 0.605221i \(-0.206915\pi\)
−0.922165 + 0.386796i \(0.873582\pi\)
\(480\) 0.801071 + 25.0692i 0.0365637 + 1.14425i
\(481\) 4.57002 7.91551i 0.208375 0.360916i
\(482\) −16.1055 16.1055i −0.733585 0.733585i
\(483\) 14.0748 4.82620i 0.640424 0.219600i
\(484\) 27.9799i 1.27181i
\(485\) −17.6162 1.94764i −0.799909 0.0884376i
\(486\) 34.9616 + 2.63121i 1.58589 + 0.119354i
\(487\) −8.26468 2.21452i −0.374509 0.100349i 0.0666548 0.997776i \(-0.478767\pi\)
−0.441163 + 0.897427i \(0.645434\pi\)
\(488\) 4.79207 + 17.8842i 0.216927 + 0.809582i
\(489\) −1.47782 + 12.2825i −0.0668295 + 0.555436i
\(490\) −33.9622 + 9.26935i −1.53426 + 0.418747i
\(491\) 6.00183i 0.270859i 0.990787 + 0.135429i \(0.0432414\pi\)
−0.990787 + 0.135429i \(0.956759\pi\)
\(492\) −30.6386 + 4.38190i −1.38129 + 0.197551i
\(493\) 0.928340 3.46461i 0.0418103 0.156038i
\(494\) 7.28897 + 12.6249i 0.327946 + 0.568020i
\(495\) 12.7108 + 27.2964i 0.571308 + 1.22688i
\(496\) −0.808083 −0.0362840
\(497\) −5.37335 11.1215i −0.241028 0.498868i
\(498\) −37.6684 47.9726i −1.68796 2.14971i
\(499\) −18.3533 10.5963i −0.821605 0.474354i 0.0293648 0.999569i \(-0.490652\pi\)
−0.850970 + 0.525215i \(0.823985\pi\)
\(500\) −19.0860 + 28.3741i −0.853552 + 1.26893i
\(501\) −26.8137 + 11.4587i −1.19795 + 0.511937i
\(502\) 12.6542 + 47.2262i 0.564786 + 2.10781i
\(503\) 20.3830 20.3830i 0.908834 0.908834i −0.0873440 0.996178i \(-0.527838\pi\)
0.996178 + 0.0873440i \(0.0278379\pi\)
\(504\) −16.8281 + 8.59876i −0.749585 + 0.383019i
\(505\) 27.5601 + 10.7502i 1.22641 + 0.478379i
\(506\) 28.3878 + 16.3897i 1.26199 + 0.728611i
\(507\) 17.1180 + 6.86779i 0.760237 + 0.305009i
\(508\) 6.85791 25.5941i 0.304270 1.13555i
\(509\) −1.72032 + 2.97968i −0.0762518 + 0.132072i −0.901630 0.432508i \(-0.857629\pi\)
0.825378 + 0.564580i \(0.190962\pi\)
\(510\) −5.34914 17.6835i −0.236864 0.783037i
\(511\) 2.16364 + 11.3557i 0.0957140 + 0.502346i
\(512\) 6.05700 + 6.05700i 0.267684 + 0.267684i
\(513\) 21.8603 + 2.13664i 0.965158 + 0.0943349i
\(514\) −6.21472 + 3.58807i −0.274120 + 0.158263i
\(515\) 6.34690 + 4.66380i 0.279678 + 0.205511i
\(516\) −9.00503 + 12.0107i −0.396424 + 0.528741i
\(517\) 16.7592 16.7592i 0.737068 0.737068i
\(518\) 29.3328 + 19.9439i 1.28881 + 0.876284i
\(519\) −0.108068 0.0130026i −0.00474366 0.000570752i
\(520\) 5.10306 + 6.37171i 0.223784 + 0.279418i
\(521\) −10.4103 + 6.01040i −0.456084 + 0.263320i −0.710396 0.703802i \(-0.751484\pi\)
0.254312 + 0.967122i \(0.418151\pi\)
\(522\) 10.0071 + 5.48364i 0.438000 + 0.240012i
\(523\) 17.6229 4.72205i 0.770597 0.206481i 0.147962 0.988993i \(-0.452729\pi\)
0.622635 + 0.782512i \(0.286062\pi\)
\(524\) −53.6289 −2.34279
\(525\) 22.6498 + 3.46237i 0.988517 + 0.151110i
\(526\) 61.5673 2.68446
\(527\) 2.17186 0.581949i 0.0946079 0.0253501i
\(528\) 5.49989 + 2.20657i 0.239352 + 0.0960286i
\(529\) 10.7886 6.22878i 0.469068 0.270817i
\(530\) −27.1668 33.9206i −1.18005 1.47341i
\(531\) 3.34653 13.7056i 0.145227 0.594770i
\(532\) −30.8000 + 14.8810i −1.33535 + 0.645174i
\(533\) 6.33448 6.33448i 0.274377 0.274377i
\(534\) −10.9514 8.21083i −0.473914 0.355318i
\(535\) −16.7620 12.3169i −0.724683 0.532507i
\(536\) −1.21593 + 0.702016i −0.0525201 + 0.0303225i
\(537\) 34.1469 4.88367i 1.47355 0.210746i
\(538\) −7.63822 7.63822i −0.329307 0.329307i
\(539\) −4.60358 + 31.0815i −0.198290 + 1.33877i
\(540\) 35.4852 1.92718i 1.52704 0.0829326i
\(541\) −13.7503 + 23.8162i −0.591172 + 1.02394i 0.402903 + 0.915243i \(0.368001\pi\)
−0.994075 + 0.108697i \(0.965332\pi\)
\(542\) 3.78646 14.1313i 0.162643 0.606990i
\(543\) −8.44029 + 21.0375i −0.362208 + 0.902804i
\(544\) −11.8951 6.86762i −0.509997 0.294447i
\(545\) −39.3630 15.3541i −1.68612 0.657697i
\(546\) 6.94617 14.1956i 0.297269 0.607517i
\(547\) 28.4753 28.4753i 1.21751 1.21751i 0.249014 0.968500i \(-0.419893\pi\)
0.968500 0.249014i \(-0.0801066\pi\)
\(548\) −4.27879 15.9687i −0.182781 0.682147i
\(549\) −22.3944 + 6.53942i −0.955769 + 0.279096i
\(550\) 27.0340 + 42.6283i 1.15273 + 1.81768i
\(551\) 6.19101 + 3.57438i 0.263746 + 0.152274i
\(552\) 10.5312 8.26914i 0.448237 0.351958i
\(553\) 17.6215 + 1.29791i 0.749342 + 0.0551928i
\(554\) −2.75618 −0.117099
\(555\) −12.1757 19.6143i −0.516831 0.832582i
\(556\) −9.75441 16.8951i −0.413679 0.716513i
\(557\) −1.49153 + 5.56648i −0.0631983 + 0.235859i −0.990299 0.138953i \(-0.955626\pi\)
0.927101 + 0.374812i \(0.122293\pi\)
\(558\) 0.159594 + 7.15150i 0.00675616 + 0.302747i
\(559\) 4.34497i 0.183773i
\(560\) 3.71729 2.55277i 0.157084 0.107874i
\(561\) −16.3710 1.96974i −0.691184 0.0831626i
\(562\) −7.48515 27.9350i −0.315742 1.17837i
\(563\) −13.1662 3.52788i −0.554890 0.148682i −0.0295322 0.999564i \(-0.509402\pi\)
−0.525358 + 0.850882i \(0.676068\pi\)
\(564\) −10.9923 25.7223i −0.462859 1.08310i
\(565\) −27.2578 3.01361i −1.14674 0.126784i
\(566\) 3.26768i 0.137351i
\(567\) −11.3051 20.9570i −0.474769 0.880110i
\(568\) −7.85955 7.85955i −0.329779 0.329779i
\(569\) −7.70038 + 13.3375i −0.322817 + 0.559135i −0.981068 0.193663i \(-0.937963\pi\)
0.658251 + 0.752798i \(0.271296\pi\)
\(570\) 36.8026 1.17600i 1.54149 0.0492574i
\(571\) 19.9476 + 34.5503i 0.834782 + 1.44589i 0.894207 + 0.447653i \(0.147740\pi\)
−0.0594250 + 0.998233i \(0.518927\pi\)
\(572\) 20.3340 5.44847i 0.850206 0.227812i
\(573\) −15.7446 + 12.3628i −0.657741 + 0.516462i
\(574\) 22.7107 + 26.3222i 0.947926 + 1.09867i
\(575\) −16.2205 + 0.674750i −0.676443 + 0.0281390i
\(576\) 27.0405 28.2749i 1.12669 1.17812i
\(577\) −36.1344 9.68219i −1.50430 0.403075i −0.589760 0.807579i \(-0.700777\pi\)
−0.914536 + 0.404504i \(0.867444\pi\)
\(578\) −27.1600 7.27751i −1.12971 0.302705i
\(579\) 19.5036 + 14.6228i 0.810541 + 0.607704i
\(580\) 10.7756 + 4.20318i 0.447433 + 0.174528i
\(581\) −13.6318 + 39.1178i −0.565543 + 1.62288i
\(582\) 19.0690 + 24.2854i 0.790437 + 1.00666i
\(583\) −37.4657 + 10.0389i −1.55167 + 0.415769i
\(584\) 5.20137 + 9.00904i 0.215234 + 0.372797i
\(585\) −7.88309 + 6.60754i −0.325926 + 0.273188i
\(586\) 2.12003 3.67200i 0.0875776 0.151689i
\(587\) −6.77064 6.77064i −0.279454 0.279454i 0.553437 0.832891i \(-0.313316\pi\)
−0.832891 + 0.553437i \(0.813316\pi\)
\(588\) 32.0222 + 18.7017i 1.32057 + 0.771243i
\(589\) 4.48135i 0.184651i
\(590\) 2.59901 23.5078i 0.107000 0.967800i
\(591\) −39.1347 + 16.7240i −1.60979 + 0.687934i
\(592\) −4.38871 1.17595i −0.180375 0.0483312i
\(593\) −2.71193 10.1211i −0.111366 0.415622i 0.887624 0.460569i \(-0.152355\pi\)
−0.998989 + 0.0449473i \(0.985688\pi\)
\(594\) 18.4418 49.1095i 0.756677 2.01499i
\(595\) −8.15246 + 9.53806i −0.334218 + 0.391022i
\(596\) 33.9073i 1.38890i
\(597\) 3.54614 + 24.7948i 0.145134 + 1.01478i
\(598\) −2.89817 + 10.8161i −0.118515 + 0.442303i
\(599\) 9.01460 + 15.6137i 0.368327 + 0.637960i 0.989304 0.145868i \(-0.0465975\pi\)
−0.620978 + 0.783828i \(0.713264\pi\)
\(600\) 20.2725 3.76506i 0.827620 0.153708i
\(601\) −10.2303 −0.417304 −0.208652 0.977990i \(-0.566908\pi\)
−0.208652 + 0.977990i \(0.566908\pi\)
\(602\) 16.8164 + 1.23861i 0.685386 + 0.0504821i
\(603\) −0.918525 1.51199i −0.0374052 0.0615730i
\(604\) 27.9431 + 16.1330i 1.13699 + 0.656440i
\(605\) 20.2206 3.09095i 0.822086 0.125665i
\(606\) −20.2526 47.3918i −0.822707 1.92516i
\(607\) −1.44350 5.38723i −0.0585900 0.218661i 0.930423 0.366486i \(-0.119439\pi\)
−0.989013 + 0.147825i \(0.952773\pi\)
\(608\) 19.3571 19.3571i 0.785035 0.785035i
\(609\) −0.530720 7.73179i −0.0215058 0.313308i
\(610\) −35.8139 + 15.7145i −1.45006 + 0.636262i
\(611\) 7.01172 + 4.04822i 0.283664 + 0.163773i
\(612\) −9.35198 + 17.0665i −0.378031 + 0.689871i
\(613\) −1.68114 + 6.27411i −0.0679007 + 0.253409i −0.991530 0.129878i \(-0.958541\pi\)
0.923629 + 0.383287i \(0.125208\pi\)
\(614\) −14.8687 + 25.7534i −0.600052 + 1.03932i
\(615\) −6.55139 21.6579i −0.264178 0.873333i
\(616\) 5.29217 + 27.7755i 0.213228 + 1.11911i
\(617\) 14.3669 + 14.3669i 0.578389 + 0.578389i 0.934459 0.356070i \(-0.115884\pi\)
−0.356070 + 0.934459i \(0.615884\pi\)
\(618\) −1.94269 13.5834i −0.0781464 0.546405i
\(619\) −29.1112 + 16.8074i −1.17008 + 0.675546i −0.953699 0.300763i \(-0.902759\pi\)
−0.216381 + 0.976309i \(0.569425\pi\)
\(620\) 1.09561 + 7.16736i 0.0440008 + 0.287848i
\(621\) 10.7128 + 13.0338i 0.429891 + 0.523030i
\(622\) −11.5380 + 11.5380i −0.462631 + 0.462631i
\(623\) −0.682856 + 9.27101i −0.0273580 + 0.371435i
\(624\) −0.241826 + 2.00987i −0.00968078 + 0.0804592i
\(625\) −22.6140 10.6587i −0.904560 0.426346i
\(626\) 43.5858 25.1643i 1.74204 1.00577i
\(627\) 12.2369 30.5005i 0.488694 1.21807i
\(628\) −9.84574 + 2.63816i −0.392888 + 0.105274i
\(629\) 12.6423 0.504081
\(630\) −23.3260 32.3937i −0.929332 1.29059i
\(631\) 5.20858 0.207350 0.103675 0.994611i \(-0.466940\pi\)
0.103675 + 0.994611i \(0.466940\pi\)
\(632\) 15.3586 4.11533i 0.610933 0.163699i
\(633\) 8.15831 20.3346i 0.324264 0.808228i
\(634\) 39.3402 22.7131i 1.56240 0.902050i
\(635\) 19.2540 + 2.12872i 0.764073 + 0.0844756i
\(636\) −5.46851 + 45.4501i −0.216841 + 1.80221i
\(637\) −10.6629 + 1.22902i −0.422478 + 0.0486955i
\(638\) 12.0728 12.0728i 0.477965 0.477965i
\(639\) 9.67986 10.1218i 0.382930 0.400411i
\(640\) 21.6870 29.5136i 0.857254 1.16663i
\(641\) 28.8032 16.6295i 1.13766 0.656828i 0.191809 0.981432i \(-0.438565\pi\)
0.945850 + 0.324605i \(0.105231\pi\)
\(642\) 5.13058 + 35.8733i 0.202488 + 1.41581i
\(643\) −6.90737 6.90737i −0.272400 0.272400i 0.557666 0.830066i \(-0.311697\pi\)
−0.830066 + 0.557666i \(0.811697\pi\)
\(644\) −24.8114 8.64634i −0.977708 0.340713i
\(645\) −9.67473 5.18097i −0.380942 0.204001i
\(646\) −10.0819 + 17.4624i −0.396668 + 0.687050i
\(647\) −11.0955 + 41.4091i −0.436210 + 1.62796i 0.301944 + 0.953326i \(0.402365\pi\)
−0.738154 + 0.674632i \(0.764302\pi\)
\(648\) −15.8128 14.4609i −0.621184 0.568078i
\(649\) −18.2809 10.5545i −0.717587 0.414299i
\(650\) −11.6757 + 12.6893i −0.457959 + 0.497714i
\(651\) 4.03114 2.71154i 0.157993 0.106274i
\(652\) 15.4474 15.4474i 0.604965 0.604965i
\(653\) −0.572412 2.13627i −0.0224002 0.0835988i 0.953821 0.300376i \(-0.0971121\pi\)
−0.976221 + 0.216777i \(0.930445\pi\)
\(654\) 28.9260 + 67.6876i 1.13110 + 2.64680i
\(655\) −5.92441 38.7568i −0.231486 1.51435i
\(656\) −3.85657 2.22659i −0.150574 0.0869338i
\(657\) −11.2026 + 6.80552i −0.437056 + 0.265509i
\(658\) −17.6667 + 25.9836i −0.688720 + 1.01295i
\(659\) 3.05561 0.119030 0.0595149 0.998227i \(-0.481045\pi\)
0.0595149 + 0.998227i \(0.481045\pi\)
\(660\) 12.1145 51.7734i 0.471557 2.01528i
\(661\) 12.6893 + 21.9785i 0.493557 + 0.854865i 0.999972 0.00742420i \(-0.00236322\pi\)
−0.506416 + 0.862289i \(0.669030\pi\)
\(662\) 3.65673 13.6471i 0.142123 0.530410i
\(663\) −0.797481 5.57604i −0.0309716 0.216555i
\(664\) 37.2780i 1.44667i
\(665\) −14.1568 20.6148i −0.548977 0.799408i
\(666\) −9.54035 + 39.0721i −0.369681 + 1.51401i
\(667\) 1.42121 + 5.30402i 0.0550294 + 0.205373i
\(668\) 49.7375 + 13.3271i 1.92440 + 0.515642i
\(669\) −33.7599 + 14.4271i −1.30523 + 0.557785i
\(670\) −1.85396 2.31486i −0.0716247 0.0894310i
\(671\) 34.9062i 1.34754i
\(672\) −29.1249 5.69999i −1.12352 0.219882i
\(673\) 20.5391 + 20.5391i 0.791722 + 0.791722i 0.981774 0.190052i \(-0.0608656\pi\)
−0.190052 + 0.981774i \(0.560866\pi\)
\(674\) 34.8401 60.3447i 1.34199 2.32439i
\(675\) 5.31281 + 25.4318i 0.204490 + 0.978869i
\(676\) −16.2852 28.2067i −0.626353 1.08487i
\(677\) 2.42401 0.649513i 0.0931624 0.0249628i −0.211937 0.977283i \(-0.567977\pi\)
0.305099 + 0.952321i \(0.401310\pi\)
\(678\) 29.5058 + 37.5772i 1.13316 + 1.44314i
\(679\) 6.90090 19.8027i 0.264832 0.759960i
\(680\) −4.10323 + 10.5194i −0.157352 + 0.403400i
\(681\) 21.0582 + 15.7884i 0.806952 + 0.605014i
\(682\) 10.3382 + 2.77010i 0.395869 + 0.106073i
\(683\) 6.66085 + 1.78477i 0.254870 + 0.0682923i 0.383992 0.923336i \(-0.374549\pi\)
−0.129121 + 0.991629i \(0.541216\pi\)
\(684\) −28.0313 26.8075i −1.07180 1.02501i
\(685\) 11.0676 4.85628i 0.422872 0.185549i
\(686\) −1.71704 41.6191i −0.0655570 1.58902i
\(687\) −15.1399 + 11.8880i −0.577624 + 0.453554i
\(688\) −2.08629 + 0.559020i −0.0795391 + 0.0213124i
\(689\) −6.62501 11.4749i −0.252393 0.437157i
\(690\) 20.6279 + 19.3504i 0.785290 + 0.736657i
\(691\) 22.7110 39.3365i 0.863965 1.49643i −0.00410532 0.999992i \(-0.501307\pi\)
0.868071 0.496440i \(-0.165360\pi\)
\(692\) 0.135914 + 0.135914i 0.00516666 + 0.00516666i
\(693\) −34.8405 + 7.44746i −1.32348 + 0.282906i
\(694\) 6.16593i 0.234056i
\(695\) 11.1323 8.91578i 0.422272 0.338195i
\(696\) −2.74061 6.41310i −0.103882 0.243088i
\(697\) 11.9687 + 3.20701i 0.453347 + 0.121474i
\(698\) −12.7951 47.7521i −0.484304 1.80745i
\(699\) −15.9327 1.91701i −0.602631 0.0725080i
\(700\) −27.6820 29.5097i −1.04628 1.11536i
\(701\) 39.7345i 1.50075i −0.661011 0.750377i \(-0.729872\pi\)
0.661011 0.750377i \(-0.270128\pi\)
\(702\) 17.8350 + 1.74320i 0.673140 + 0.0657930i
\(703\) −6.52142 + 24.3383i −0.245960 + 0.917935i
\(704\) −29.2687 50.6950i −1.10311 1.91064i
\(705\) 17.3748 10.7855i 0.654373 0.406206i
\(706\) −20.4997 −0.771518
\(707\) −19.6807 + 28.9457i −0.740168 + 1.08861i
\(708\) −19.5946 + 15.3858i −0.736412 + 0.578235i
\(709\) 33.3407 + 19.2493i 1.25214 + 0.722921i 0.971533 0.236903i \(-0.0761323\pi\)
0.280603 + 0.959824i \(0.409466\pi\)
\(710\) 13.9026 18.9199i 0.521755 0.710051i
\(711\) 5.61592 + 19.2318i 0.210613 + 0.721250i
\(712\) 2.16516 + 8.08047i 0.0811426 + 0.302828i
\(713\) −2.43402 + 2.43402i −0.0911549 + 0.0911549i
\(714\) 21.8084 1.49695i 0.816158 0.0560221i
\(715\) 6.18383 + 14.0932i 0.231262 + 0.527054i
\(716\) −52.7520 30.4564i −1.97144 1.13821i
\(717\) 15.6171 38.9256i 0.583230 1.45370i
\(718\) −11.0210 + 41.1311i −0.411302 + 1.53500i
\(719\) −8.52509 + 14.7659i −0.317932 + 0.550675i −0.980056 0.198719i \(-0.936322\pi\)
0.662124 + 0.749394i \(0.269655\pi\)
\(720\) 4.18692 + 2.93504i 0.156037 + 0.109383i
\(721\) −7.05593 + 6.08783i −0.262777 + 0.226723i
\(722\) 1.80008 + 1.80008i 0.0669920 + 0.0669920i
\(723\) −17.3635 + 2.48332i −0.645757 + 0.0923557i
\(724\) 34.6652 20.0139i 1.28832 0.743812i
\(725\) −1.84719 + 8.25170i −0.0686028 + 0.306460i
\(726\) −28.5130 21.3776i −1.05822 0.793399i
\(727\) 2.20359 2.20359i 0.0817265 0.0817265i −0.665062 0.746788i \(-0.731595\pi\)
0.746788 + 0.665062i \(0.231595\pi\)
\(728\) −8.69707 + 4.20199i −0.322335 + 0.155736i
\(729\) 17.7721 20.3261i 0.658227 0.752820i
\(730\) −17.1513 + 13.7363i −0.634797 + 0.508405i
\(731\) 5.20469 3.00493i 0.192503 0.111141i
\(732\) 38.2348 + 15.3399i 1.41320 + 0.566979i
\(733\) 21.3972 5.73337i 0.790325 0.211767i 0.158993 0.987280i \(-0.449175\pi\)
0.631332 + 0.775513i \(0.282509\pi\)
\(734\) −6.27489 −0.231610
\(735\) −9.97789 + 25.2080i −0.368040 + 0.929810i
\(736\) 21.0275 0.775083
\(737\) −2.55680 + 0.685093i −0.0941810 + 0.0252357i
\(738\) −18.9436 + 34.5702i −0.697323 + 1.27255i
\(739\) −27.9866 + 16.1581i −1.02950 + 0.594384i −0.916842 0.399250i \(-0.869271\pi\)
−0.112661 + 0.993634i \(0.535937\pi\)
\(740\) −4.47992 + 40.5204i −0.164685 + 1.48956i
\(741\) 11.1461 + 1.34108i 0.409461 + 0.0492659i
\(742\) 46.2999 22.3698i 1.69972 0.821221i
\(743\) −19.2303 + 19.2303i −0.705491 + 0.705491i −0.965584 0.260093i \(-0.916247\pi\)
0.260093 + 0.965584i \(0.416247\pi\)
\(744\) 2.62258 3.49793i 0.0961485 0.128240i
\(745\) 24.5043 3.74576i 0.897768 0.137234i
\(746\) −23.7126 + 13.6905i −0.868182 + 0.501245i
\(747\) −46.9598 + 1.04796i −1.71817 + 0.0383430i
\(748\) 20.5893 + 20.5893i 0.752818 + 0.752818i
\(749\) 18.6345 16.0777i 0.680889 0.587468i
\(750\) 14.3323 + 41.1285i 0.523343 + 1.50180i
\(751\) 7.57272 13.1163i 0.276332 0.478622i −0.694138 0.719842i \(-0.744214\pi\)
0.970470 + 0.241220i \(0.0775476\pi\)
\(752\) 1.04168 3.88761i 0.0379862 0.141766i
\(753\) 34.9443 + 14.0197i 1.27344 + 0.510908i
\(754\) 5.05101 + 2.91620i 0.183947 + 0.106202i
\(755\) −8.57215 + 21.9763i −0.311973 + 0.799798i
\(756\) −7.15338 + 41.4356i −0.260166 + 1.50700i
\(757\) −14.0801 + 14.0801i −0.511751 + 0.511751i −0.915063 0.403312i \(-0.867859\pi\)
0.403312 + 0.915063i \(0.367859\pi\)
\(758\) 7.99018 + 29.8198i 0.290216 + 1.08310i
\(759\) 23.2126 9.91979i 0.842564 0.360066i
\(760\) −18.1347 13.3257i −0.657816 0.483372i
\(761\) −5.22504 3.01668i −0.189407 0.109354i 0.402298 0.915509i