Properties

Label 105.2.x.a.53.2
Level 105
Weight 2
Character 105.53
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 \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 53.2
Character \(\chi\) \(=\) 105.53
Dual form 105.2.x.a.2.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.582118 + 2.17249i) q^{2} +(1.60750 - 0.644934i) q^{3} +(-2.64881 - 1.52929i) q^{4} +(2.21039 - 0.337883i) q^{5} +(0.465359 + 3.86771i) q^{6} +(-1.15099 + 2.38227i) q^{7} +(1.68355 - 1.68355i) q^{8} +(2.16812 - 2.07346i) q^{9} +O(q^{10})\) \(q+(-0.582118 + 2.17249i) q^{2} +(1.60750 - 0.644934i) q^{3} +(-2.64881 - 1.52929i) q^{4} +(2.21039 - 0.337883i) q^{5} +(0.465359 + 3.86771i) q^{6} +(-1.15099 + 2.38227i) q^{7} +(1.68355 - 1.68355i) q^{8} +(2.16812 - 2.07346i) q^{9} +(-0.552660 + 4.99875i) q^{10} +(-3.88729 - 2.24433i) q^{11} +(-5.24426 - 0.750030i) q^{12} +(-1.08424 - 1.08424i) q^{13} +(-4.50545 - 3.88729i) q^{14} +(3.33530 - 1.96870i) q^{15} +(-0.381115 - 0.660111i) q^{16} +(2.04863 - 0.548929i) q^{17} +(3.24248 + 5.91723i) 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} +(3.13628 + 0.840363i) q^{23} +(1.62053 - 3.79208i) q^{24} +(4.77167 - 1.49371i) q^{25} +(2.98667 - 1.72435i) q^{26} +(2.14801 - 4.73139i) q^{27} +(6.69195 - 4.54998i) q^{28} -1.69118 q^{29} +(2.33546 + 8.39192i) q^{30} +(0.530077 - 0.918121i) q^{31} +(6.25547 - 1.67615i) q^{32} +(-7.69626 - 1.10071i) q^{33} +4.77017i q^{34} +(-1.73922 + 5.65466i) q^{35} +(-8.91388 + 2.17653i) q^{36} +(-5.75771 - 1.54277i) q^{37} +(-2.46065 - 9.18328i) q^{38} +(-2.44219 - 1.04366i) q^{39} +(3.15246 - 4.29014i) q^{40} -5.84230i q^{41} +(-9.74956 - 3.34310i) q^{42} +(2.00369 + 2.00369i) q^{43} +(6.86446 + 11.8896i) q^{44} +(4.09181 - 5.31574i) q^{45} +(-3.65136 + 6.32435i) q^{46} +(-1.36662 + 5.10030i) q^{47} +(-1.03837 - 0.815335i) q^{48} +(-4.35043 - 5.48395i) q^{49} +(0.467398 + 11.2359i) q^{50} +(2.93915 - 2.20363i) q^{51} +(1.21383 + 4.53008i) q^{52} +(2.23651 + 8.34677i) q^{53} +(9.02852 + 7.42076i) q^{54} +(-9.35075 - 3.64739i) q^{55} +(2.07291 + 5.94841i) q^{56} +(-4.52157 + 5.75846i) q^{57} +(0.984468 - 3.67409i) q^{58} +(-2.35137 + 4.07269i) q^{59} +(-11.8453 + 0.114086i) q^{60} +(3.88827 + 6.73469i) q^{61} +(1.68604 + 1.68604i) q^{62} +(2.44406 + 7.55159i) q^{63} +13.0412i q^{64} +(-2.76295 - 2.03026i) q^{65} +(6.87142 - 16.0793i) q^{66} +(-0.152628 - 0.569614i) q^{67} +(-6.26591 - 1.67894i) q^{68} +(5.58355 - 0.671807i) q^{69} +(-11.2723 - 7.07011i) q^{70} -4.66845i q^{71} +(0.159358 - 7.14090i) q^{72} +(-4.22038 + 1.13085i) q^{73} +(6.70333 - 11.6105i) q^{74} +(6.70712 - 5.47855i) q^{75} +12.9289 q^{76} +(9.82083 - 6.67736i) q^{77} +(3.68898 - 4.69811i) q^{78} +(5.78361 - 3.33917i) q^{79} +(-1.06546 - 1.33033i) q^{80} +(0.401491 - 8.99104i) q^{81} +(12.6924 + 3.40091i) 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} +(-2.71858 + 1.09070i) q^{87} +(-10.3228 + 2.76600i) q^{88} +(-1.75680 - 3.04287i) q^{89} +(9.16649 + 11.9838i) q^{90} +(3.83092 - 1.33501i) q^{91} +(-7.02225 - 7.02225i) q^{92} +(0.259973 - 1.81775i) q^{93} +(-10.2848 - 5.93795i) q^{94} +(-7.37757 + 5.90865i) q^{95} +(8.97468 - 6.72878i) q^{96} +(-5.60466 + 5.60466i) q^{97} +(14.4463 - 6.25897i) 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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

\(n\) \(22\) \(31\) \(71\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{2}{3}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.582118 + 2.17249i −0.411619 + 1.53618i 0.379893 + 0.925031i \(0.375961\pi\)
−0.791512 + 0.611154i \(0.790706\pi\)
\(3\) 1.60750 0.644934i 0.928091 0.372353i
\(4\) −2.64881 1.52929i −1.32441 0.764646i
\(5\) 2.21039 0.337883i 0.988518 0.151106i
\(6\) 0.465359 + 3.86771i 0.189982 + 1.57899i
\(7\) −1.15099 + 2.38227i −0.435034 + 0.900414i
\(8\) 1.68355 1.68355i 0.595223 0.595223i
\(9\) 2.16812 2.07346i 0.722707 0.691155i
\(10\) −0.552660 + 4.99875i −0.174766 + 1.58074i
\(11\) −3.88729 2.24433i −1.17206 0.676690i −0.217896 0.975972i \(-0.569919\pi\)
−0.954165 + 0.299282i \(0.903253\pi\)
\(12\) −5.24426 0.750030i −1.51389 0.216515i
\(13\) −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
\(15\) 3.33530 1.96870i 0.861170 0.508317i
\(16\) −0.381115 0.660111i −0.0952788 0.165028i
\(17\) 2.04863 0.548929i 0.496866 0.133135i −0.00167924 0.999999i \(-0.500535\pi\)
0.498545 + 0.866864i \(0.333868\pi\)
\(18\) 3.24248 + 5.91723i 0.764261 + 1.39470i
\(19\) −3.66075 + 2.11354i −0.839834 + 0.484878i −0.857208 0.514971i \(-0.827803\pi\)
0.0173737 + 0.999849i \(0.494469\pi\)
\(20\) −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
\(23\) 3.13628 + 0.840363i 0.653959 + 0.175228i 0.570518 0.821285i \(-0.306742\pi\)
0.0834407 + 0.996513i \(0.473409\pi\)
\(24\) 1.62053 3.79208i 0.330788 0.774055i
\(25\) 4.77167 1.49371i 0.954334 0.298742i
\(26\) 2.98667 1.72435i 0.585734 0.338174i
\(27\) 2.14801 4.73139i 0.413384 0.910557i
\(28\) 6.69195 4.54998i 1.26466 0.859866i
\(29\) −1.69118 −0.314045 −0.157023 0.987595i \(-0.550190\pi\)
−0.157023 + 0.987595i \(0.550190\pi\)
\(30\) 2.33546 + 8.39192i 0.426395 + 1.53215i
\(31\) 0.530077 0.918121i 0.0952047 0.164899i −0.814489 0.580179i \(-0.802983\pi\)
0.909694 + 0.415279i \(0.136316\pi\)
\(32\) 6.25547 1.67615i 1.10582 0.296304i
\(33\) −7.69626 1.10071i −1.33975 0.191610i
\(34\) 4.77017i 0.818078i
\(35\) −1.73922 + 5.65466i −0.293981 + 0.955811i
\(36\) −8.91388 + 2.17653i −1.48565 + 0.362755i
\(37\) −5.75771 1.54277i −0.946562 0.253631i −0.247659 0.968847i \(-0.579661\pi\)
−0.698903 + 0.715217i \(0.746328\pi\)
\(38\) −2.46065 9.18328i −0.399171 1.48973i
\(39\) −2.44219 1.04366i −0.391063 0.167119i
\(40\) 3.15246 4.29014i 0.498447 0.678331i
\(41\) 5.84230i 0.912414i −0.889874 0.456207i \(-0.849208\pi\)
0.889874 0.456207i \(-0.150792\pi\)
\(42\) −9.74956 3.34310i −1.50439 0.515851i
\(43\) 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
\(45\) 4.09181 5.31574i 0.609971 0.792424i
\(46\) −3.65136 + 6.32435i −0.538364 + 0.932474i
\(47\) −1.36662 + 5.10030i −0.199342 + 0.743956i 0.791758 + 0.610835i \(0.209166\pi\)
−0.991100 + 0.133120i \(0.957500\pi\)
\(48\) −1.03837 0.815335i −0.149876 0.117684i
\(49\) −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
\(52\) 1.21383 + 4.53008i 0.168328 + 0.628210i
\(53\) 2.23651 + 8.34677i 0.307208 + 1.14652i 0.931028 + 0.364949i \(0.118913\pi\)
−0.623819 + 0.781569i \(0.714420\pi\)
\(54\) 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
\(57\) −4.52157 + 5.75846i −0.598897 + 0.762726i
\(58\) 0.984468 3.67409i 0.129267 0.482431i
\(59\) −2.35137 + 4.07269i −0.306122 + 0.530219i −0.977510 0.210887i \(-0.932365\pi\)
0.671389 + 0.741106i \(0.265698\pi\)
\(60\) −11.8453 + 0.114086i −1.52922 + 0.0147284i
\(61\) 3.88827 + 6.73469i 0.497842 + 0.862288i 0.999997 0.00248951i \(-0.000792436\pi\)
−0.502154 + 0.864778i \(0.667459\pi\)
\(62\) 1.68604 + 1.68604i 0.214128 + 0.214128i
\(63\) 2.44406 + 7.55159i 0.307923 + 0.951411i
\(64\) 13.0412i 1.63015i
\(65\) −2.76295 2.03026i −0.342702 0.251822i
\(66\) 6.87142 16.0793i 0.845813 1.97923i
\(67\) −0.152628 0.569614i −0.0186464 0.0695895i 0.955976 0.293446i \(-0.0948020\pi\)
−0.974622 + 0.223856i \(0.928135\pi\)
\(68\) −6.26591 1.67894i −0.759853 0.203602i
\(69\) 5.58355 0.671807i 0.672180 0.0808761i
\(70\) −11.2723 7.07011i −1.34729 0.845040i
\(71\) 4.66845i 0.554043i −0.960864 0.277022i \(-0.910653\pi\)
0.960864 0.277022i \(-0.0893473\pi\)
\(72\) 0.159358 7.14090i 0.0187805 0.841563i
\(73\) −4.22038 + 1.13085i −0.493958 + 0.132356i −0.497195 0.867639i \(-0.665637\pi\)
0.00323633 + 0.999995i \(0.498970\pi\)
\(74\) 6.70333 11.6105i 0.779246 1.34969i
\(75\) 6.70712 5.47855i 0.774472 0.632609i
\(76\) 12.9289 1.48304
\(77\) 9.82083 6.67736i 1.11919 0.760956i
\(78\) 3.68898 4.69811i 0.417695 0.531956i
\(79\) 5.78361 3.33917i 0.650707 0.375686i −0.138020 0.990429i \(-0.544074\pi\)
0.788727 + 0.614743i \(0.210740\pi\)
\(80\) −1.06546 1.33033i −0.119121 0.148736i
\(81\) 0.401491 8.99104i 0.0446102 0.999004i
\(82\) 12.6924 + 3.40091i 1.40164 + 0.375567i
\(83\) −11.0713 + 11.0713i −1.21523 + 1.21523i −0.245948 + 0.969283i \(0.579099\pi\)
−0.969283 + 0.245948i \(0.920901\pi\)
\(84\) 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
\(87\) −2.71858 + 1.09070i −0.291462 + 0.116936i
\(88\) −10.3228 + 2.76600i −1.10042 + 0.294856i
\(89\) −1.75680 3.04287i −0.186221 0.322544i 0.757766 0.652526i \(-0.226291\pi\)
−0.943987 + 0.329982i \(0.892957\pi\)
\(90\) 9.16649 + 11.9838i 0.966233 + 1.26320i
\(91\) 3.83092 1.33501i 0.401590 0.139947i
\(92\) −7.02225 7.02225i −0.732120 0.732120i
\(93\) 0.259973 1.81775i 0.0269579 0.188491i
\(94\) −10.2848 5.93795i −1.06080 0.612453i
\(95\) −7.37757 + 5.90865i −0.756923 + 0.606215i
\(96\) 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 \(0.381821\pi\)
\(98\) 14.4463 6.25897i 1.45930 0.632251i
\(99\) −13.0816 + 3.19418i −1.31475 + 0.321027i
\(100\) −14.9236 3.34072i −1.49236 0.334072i
\(101\) 11.4573 + 6.61487i 1.14004 + 0.658204i 0.946441 0.322877i \(-0.104650\pi\)
0.193601 + 0.981080i \(0.437983\pi\)
\(102\) 3.07645 + 7.66806i 0.304614 + 0.759251i
\(103\) −0.911647 + 3.40231i −0.0898273 + 0.335240i −0.996184 0.0872723i \(-0.972185\pi\)
0.906357 + 0.422512i \(0.138852\pi\)
\(104\) −3.65075 −0.357985
\(105\) 0.851085 + 10.2115i 0.0830574 + 0.996545i
\(106\) −19.4352 −1.88771
\(107\) −2.40763 + 8.98539i −0.232754 + 0.868651i 0.746394 + 0.665504i \(0.231783\pi\)
−0.979148 + 0.203146i \(0.934883\pi\)
\(108\) −12.9253 + 9.24763i −1.24374 + 0.889854i
\(109\) 16.3639 + 9.44773i 1.56738 + 0.904928i 0.996473 + 0.0839152i \(0.0267425\pi\)
0.570909 + 0.821013i \(0.306591\pi\)
\(110\) 13.3672 18.1912i 1.27451 1.73446i
\(111\) −10.2505 + 1.23333i −0.972936 + 0.117063i
\(112\) 2.01122 0.148137i 0.190043 0.0139976i
\(113\) 8.67219 8.67219i 0.815811 0.815811i −0.169687 0.985498i \(-0.554276\pi\)
0.985498 + 0.169687i \(0.0542757\pi\)
\(114\) −9.87811 13.1752i −0.925170 1.23397i
\(115\) 7.21635 + 0.797836i 0.672928 + 0.0743986i
\(116\) 4.47963 + 2.58632i 0.415923 + 0.240133i
\(117\) −4.59891 0.102630i −0.425170 0.00948817i
\(118\) −7.47911 7.47911i −0.688508 0.688508i
\(119\) −1.05026 + 5.51221i −0.0962774 + 0.505303i
\(120\) 2.30072 8.92953i 0.210026 0.815151i
\(121\) 4.57399 + 7.92239i 0.415818 + 0.720217i
\(122\) −16.8945 + 4.52687i −1.52956 + 0.409843i
\(123\) −3.76790 9.39151i −0.339740 0.846804i
\(124\) −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 \(0.124421\pi\)
\(128\) −15.8210 4.23923i −1.39839 0.374698i
\(129\) 4.51317 + 1.92868i 0.397363 + 0.169811i
\(130\) 6.01908 4.82065i 0.527908 0.422799i
\(131\) −15.1848 + 8.76695i −1.32670 + 0.765972i −0.984788 0.173759i \(-0.944409\pi\)
−0.341915 + 0.939731i \(0.611075\pi\)
\(132\) 18.7026 + 14.6854i 1.62785 + 1.27820i
\(133\) −0.821516 11.1536i −0.0712344 0.967137i
\(134\) 1.32633 0.114578
\(135\) 3.14928 11.1840i 0.271047 0.962566i
\(136\) 2.52482 4.37311i 0.216501 0.374991i
\(137\) 5.22093 1.39894i 0.446054 0.119520i −0.0287983 0.999585i \(-0.509168\pi\)
0.474853 + 0.880065i \(0.342501\pi\)
\(138\) −1.79078 + 12.5213i −0.152442 + 1.06588i
\(139\) 6.37838i 0.541007i −0.962719 0.270504i \(-0.912810\pi\)
0.962719 0.270504i \(-0.0871902\pi\)
\(140\) 13.2545 12.3183i 1.12021 1.04109i
\(141\) 1.09251 + 9.08012i 0.0920061 + 0.764684i
\(142\) 10.1422 + 2.71759i 0.851112 + 0.228055i
\(143\) 1.78137 + 6.64816i 0.148966 + 0.555947i
\(144\) −2.19502 0.640971i −0.182918 0.0534143i
\(145\) −3.73818 + 0.571423i −0.310439 + 0.0474541i
\(146\) 9.82703i 0.813291i
\(147\) −10.5301 6.00972i −0.868509 0.495674i
\(148\) 12.8917 + 12.8917i 1.05969 + 1.05969i
\(149\) −5.54298 9.60071i −0.454098 0.786521i 0.544538 0.838736i \(-0.316705\pi\)
−0.998636 + 0.0522152i \(0.983372\pi\)
\(150\) 7.99778 + 17.7603i 0.653016 + 1.45013i
\(151\) 5.27465 9.13596i 0.429245 0.743474i −0.567562 0.823331i \(-0.692113\pi\)
0.996806 + 0.0798574i \(0.0254465\pi\)
\(152\) −2.60481 + 9.72128i −0.211278 + 0.788500i
\(153\) 3.30349 5.43791i 0.267072 0.439629i
\(154\) 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
\(157\) 0.862542 + 3.21905i 0.0688383 + 0.256908i 0.991766 0.128066i \(-0.0408770\pi\)
−0.922927 + 0.384974i \(0.874210\pi\)
\(158\) 3.88758 + 14.5086i 0.309279 + 1.15425i
\(159\) 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
\(162\) 19.2993 + 6.10608i 1.51629 + 0.479739i
\(163\) −1.84861 + 6.89910i −0.144794 + 0.540379i 0.854970 + 0.518677i \(0.173575\pi\)
−0.999764 + 0.0217024i \(0.993091\pi\)
\(164\) −8.93459 + 15.4752i −0.697674 + 1.20841i
\(165\) −17.3837 + 0.167428i −1.35332 + 0.0130342i
\(166\) −17.6075 30.4971i −1.36661 2.36703i
\(167\) −11.9043 11.9043i −0.921184 0.921184i 0.0759296 0.997113i \(-0.475808\pi\)
−0.997113 + 0.0759296i \(0.975808\pi\)
\(168\) 7.16854 + 8.22519i 0.553065 + 0.634587i
\(169\) 10.6488i 0.819141i
\(170\) 1.61176 + 10.5440i 0.123616 + 0.808685i
\(171\) −3.55461 + 12.1728i −0.271828 + 0.930880i
\(172\) −2.24317 8.37161i −0.171040 0.638329i
\(173\) 0.0607017 + 0.0162650i 0.00461507 + 0.00123660i 0.261126 0.965305i \(-0.415906\pi\)
−0.256511 + 0.966541i \(0.582573\pi\)
\(174\) −0.787009 6.54101i −0.0596630 0.495873i
\(175\) −1.93374 + 13.0867i −0.146177 + 0.989258i
\(176\) 3.42139i 0.257897i
\(177\) −1.15321 + 8.06333i −0.0866807 + 0.606077i
\(178\) 7.63328 2.04533i 0.572139 0.153304i
\(179\) 9.95768 17.2472i 0.744272 1.28912i −0.206263 0.978497i \(-0.566130\pi\)
0.950534 0.310620i \(-0.100537\pi\)
\(180\) −18.9678 + 7.82283i −1.41377 + 0.583079i
\(181\) 13.0871 0.972754 0.486377 0.873749i \(-0.338318\pi\)
0.486377 + 0.873749i \(0.338318\pi\)
\(182\) 0.670244 + 9.09978i 0.0496818 + 0.674520i
\(183\) 10.5938 + 8.31834i 0.783119 + 0.614909i
\(184\) 6.69485 3.86528i 0.493551 0.284952i
\(185\) −13.2481 1.46470i −0.974018 0.107687i
\(186\) 3.79770 + 1.62293i 0.278461 + 0.118999i
\(187\) −9.19559 2.46395i −0.672448 0.180182i
\(188\) 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 −0.0920740 0.995752i \(-0.529350\pi\)
0.816310 + 0.577615i \(0.196016\pi\)
\(192\) 8.41073 + 20.9638i 0.606992 + 1.51293i
\(193\) −13.5943 + 3.64257i −0.978536 + 0.262198i −0.712428 0.701745i \(-0.752405\pi\)
−0.266108 + 0.963943i \(0.585738\pi\)
\(194\) −8.91351 15.4387i −0.639953 1.10843i
\(195\) −5.75083 1.48172i −0.411826 0.106108i
\(196\) 3.13690 + 21.1790i 0.224064 + 1.51279i
\(197\) −17.3744 17.3744i −1.23787 1.23787i −0.960868 0.277006i \(-0.910658\pi\)
−0.277006 0.960868i \(-0.589342\pi\)
\(198\) 0.675715 30.2791i 0.0480210 2.15184i
\(199\) −12.5236 7.23048i −0.887771 0.512555i −0.0145585 0.999894i \(-0.504634\pi\)
−0.873213 + 0.487339i \(0.837968\pi\)
\(200\) 5.51860 10.5481i 0.390224 0.745860i
\(201\) −0.612713 0.817221i −0.0432174 0.0576423i
\(202\) −21.0402 + 21.0402i −1.48039 + 1.48039i
\(203\) 1.94654 4.02886i 0.136620 0.282771i
\(204\) −11.1553 + 1.34219i −0.781025 + 0.0939722i
\(205\) −1.97402 12.9138i −0.137871 0.901938i
\(206\) −6.86081 3.96109i −0.478016 0.275982i
\(207\) 8.54229 4.68095i 0.593730 0.325349i
\(208\) −0.302500 + 1.12894i −0.0209746 + 0.0782782i
\(209\) 18.9739 1.31245
\(210\) −22.6799 4.09534i −1.56506 0.282606i
\(211\) −12.6498 −0.870850 −0.435425 0.900225i \(-0.643402\pi\)
−0.435425 + 0.900225i \(0.643402\pi\)
\(212\) 6.84056 25.5293i 0.469811 1.75336i
\(213\) −3.01084 7.50454i −0.206299 0.514203i
\(214\) −18.1192 10.4611i −1.23860 0.715107i
\(215\) 5.10595 + 3.75192i 0.348223 + 0.255879i
\(216\) −4.34924 11.5818i −0.295928 0.788041i
\(217\) 1.57710 + 2.31954i 0.107060 + 0.157461i
\(218\) −30.0509 + 30.0509i −2.03530 + 2.03530i
\(219\) −6.05495 + 4.53971i −0.409155 + 0.306765i
\(220\) 19.1904 + 23.9613i 1.29382 + 1.61547i
\(221\) −2.81639 1.62604i −0.189451 0.109379i
\(222\) 3.28760 22.9871i 0.220649 1.54279i
\(223\) 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
\(225\) 7.24840 13.1324i 0.483227 0.875495i
\(226\) 13.7920 + 23.8885i 0.917432 + 1.58904i
\(227\) 14.6779 3.93292i 0.974203 0.261037i 0.263602 0.964632i \(-0.415090\pi\)
0.710602 + 0.703595i \(0.248423\pi\)
\(228\) 20.7832 8.33826i 1.37640 0.552215i
\(229\) −9.62472 + 5.55684i −0.636020 + 0.367206i −0.783080 0.621922i \(-0.786352\pi\)
0.147060 + 0.989128i \(0.453019\pi\)
\(230\) −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
\(233\) 8.94940 + 2.39799i 0.586295 + 0.157097i 0.539759 0.841819i \(-0.318515\pi\)
0.0465356 + 0.998917i \(0.485182\pi\)
\(234\) 2.90007 9.93136i 0.189584 0.649233i
\(235\) −1.29746 + 11.7354i −0.0846372 + 0.765535i
\(236\) 12.4567 7.19186i 0.810859 0.468150i
\(237\) 7.14362 9.09777i 0.464028 0.590964i
\(238\) −11.3638 5.49044i −0.736609 0.355892i
\(239\) 24.2150 1.56634 0.783168 0.621810i \(-0.213602\pi\)
0.783168 + 0.621810i \(0.213602\pi\)
\(240\) −2.57070 1.45136i −0.165938 0.0936851i
\(241\) 5.06343 8.77012i 0.326164 0.564933i −0.655583 0.755123i \(-0.727577\pi\)
0.981747 + 0.190190i \(0.0609105\pi\)
\(242\) −19.8739 + 5.32520i −1.27754 + 0.342317i
\(243\) −5.15323 14.7120i −0.330580 0.943778i
\(244\) 23.7852i 1.52269i
\(245\) −11.4691 10.6518i −0.732734 0.680516i
\(246\) 22.5963 2.71877i 1.44069 0.173342i
\(247\) 6.26074 + 1.67756i 0.398361 + 0.106741i
\(248\) −0.653289 2.43811i −0.0414839 0.154820i
\(249\) −10.6569 + 24.9373i −0.675350 + 1.58034i
\(250\) 4.82957 + 24.6779i 0.305449 + 1.56077i
\(251\) 21.7383i 1.37211i 0.727551 + 0.686054i \(0.240658\pi\)
−0.727551 + 0.686054i \(0.759342\pi\)
\(252\) 5.07473 23.7404i 0.319678 1.49551i
\(253\) −10.3056 10.3056i −0.647905 0.647905i
\(254\) 9.74225 + 16.8741i 0.611283 + 1.05877i
\(255\) 5.75211 5.86399i 0.360211 0.367217i
\(256\) 5.37816 9.31524i 0.336135 0.582202i
\(257\) 0.825796 3.08191i 0.0515117 0.192244i −0.935375 0.353657i \(-0.884938\pi\)
0.986887 + 0.161412i \(0.0516048\pi\)
\(258\) −6.81725 + 8.68212i −0.424423 + 0.540525i
\(259\) 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
\(262\) −10.2068 38.0923i −0.630578 2.35335i
\(263\) −7.08487 26.4411i −0.436872 1.63043i −0.736547 0.676387i \(-0.763545\pi\)
0.299675 0.954041i \(-0.403122\pi\)
\(264\) −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
\(267\) −4.78651 3.75840i −0.292930 0.230010i
\(268\) −0.466825 + 1.74221i −0.0285159 + 0.106423i
\(269\) −2.40139 + 4.15933i −0.146415 + 0.253599i −0.929900 0.367812i \(-0.880107\pi\)
0.783485 + 0.621411i \(0.213440\pi\)
\(270\) 22.4639 + 13.3522i 1.36711 + 0.812589i
\(271\) −3.25232 5.63318i −0.197564 0.342191i 0.750174 0.661241i \(-0.229970\pi\)
−0.947738 + 0.319049i \(0.896636\pi\)
\(272\) −1.14312 1.14312i −0.0693117 0.0693117i
\(273\) 5.29722 4.61671i 0.320602 0.279416i
\(274\) 12.1568i 0.734418i
\(275\) −21.9012 4.90271i −1.32069 0.295644i
\(276\) −15.8172 6.75938i −0.952081 0.406867i
\(277\) −0.317168 1.18369i −0.0190568 0.0711210i 0.955743 0.294204i \(-0.0950545\pi\)
−0.974799 + 0.223083i \(0.928388\pi\)
\(278\) 13.8570 + 3.71297i 0.831087 + 0.222689i
\(279\) −0.754419 3.08969i −0.0451659 0.184975i
\(280\) 6.59182 + 12.4479i 0.393937 + 0.743906i
\(281\) 12.8585i 0.767073i −0.923526 0.383537i \(-0.874706\pi\)
0.923526 0.383537i \(-0.125294\pi\)
\(282\) −20.3625 2.91223i −1.21257 0.173420i
\(283\) 1.40336 0.376029i 0.0834209 0.0223526i −0.216867 0.976201i \(-0.569584\pi\)
0.300288 + 0.953849i \(0.402917\pi\)
\(284\) −7.13942 + 12.3658i −0.423647 + 0.733778i
\(285\) −8.04876 + 14.2562i −0.476768 + 0.844465i
\(286\) −15.4801 −0.915355
\(287\) 13.9179 + 6.72445i 0.821550 + 0.396932i
\(288\) 10.0872 16.6046i 0.594393 0.978435i
\(289\) −10.8269 + 6.25090i −0.636875 + 0.367700i
\(290\) 0.934650 8.45381i 0.0548845 0.496425i
\(291\) −5.39486 + 12.6241i −0.316253 + 0.740040i
\(292\) 12.9084 + 3.45879i 0.755407 + 0.202411i
\(293\) 1.33304 1.33304i 0.0778769 0.0778769i −0.667095 0.744972i \(-0.732463\pi\)
0.744972 + 0.667095i \(0.232463\pi\)
\(294\) 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
\(297\) −18.9687 + 13.5714i −1.10068 + 0.787495i
\(298\) 24.0841 6.45333i 1.39516 0.373831i
\(299\) −2.48933 4.31165i −0.143962 0.249349i
\(300\) −26.1442 + 4.25450i −1.50944 + 0.245634i
\(301\) −7.07955 + 2.46710i −0.408059 + 0.142201i
\(302\) 16.7773 + 16.7773i 0.965427 + 0.965427i
\(303\) 22.6837 + 3.24421i 1.30315 + 0.186375i
\(304\) 2.79034 + 1.61100i 0.160037 + 0.0923973i
\(305\) 10.8701 + 13.5725i 0.622423 + 0.777160i
\(306\) 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 \(0.126852\pi\)
\(308\) −36.2252 + 2.66816i −2.06412 + 0.152033i
\(309\) 0.728794 + 6.05718i 0.0414596 + 0.344581i
\(310\) 4.29650 + 3.15713i 0.244025 + 0.179313i
\(311\) 6.28291 + 3.62744i 0.356271 + 0.205693i 0.667444 0.744660i \(-0.267388\pi\)
−0.311173 + 0.950353i \(0.600722\pi\)
\(312\) −5.86858 + 2.35449i −0.332243 + 0.133297i
\(313\) 5.79157 21.6144i 0.327359 1.22172i −0.584561 0.811350i \(-0.698733\pi\)
0.911919 0.410369i \(-0.134600\pi\)
\(314\) −7.49546 −0.422993
\(315\) 7.95389 + 15.8662i 0.448151 + 0.893958i
\(316\) −20.4263 −1.14907
\(317\) −5.22742 + 19.5090i −0.293601 + 1.09573i 0.648721 + 0.761026i \(0.275304\pi\)
−0.942322 + 0.334708i \(0.891362\pi\)
\(318\) −31.2421 + 12.5344i −1.75197 + 0.702896i
\(319\) 6.57412 + 3.79557i 0.368080 + 0.212511i
\(320\) 4.40641 + 28.8262i 0.246326 + 1.61143i
\(321\) 1.92472 + 15.9968i 0.107427 + 0.892854i
\(322\) −10.8636 15.9778i −0.605406 0.890409i
\(323\) −6.33935 + 6.33935i −0.352731 + 0.352731i
\(324\) −14.8134 + 23.2016i −0.822967 + 1.28898i
\(325\) −6.79320 3.55411i −0.376819 0.197147i
\(326\) −13.9121 8.03218i −0.770522 0.444861i
\(327\) 32.3982 + 4.63357i 1.79163 + 0.256237i
\(328\) −9.83578 9.83578i −0.543090 0.543090i
\(329\) −10.5773 9.12608i −0.583147 0.503137i
\(330\) 9.75560 37.8633i 0.537028 2.08431i
\(331\) −3.14089 5.44018i −0.172639 0.299019i 0.766703 0.642002i \(-0.221896\pi\)
−0.939342 + 0.342983i \(0.888563\pi\)
\(332\) 46.2570 12.3945i 2.53868 0.680237i
\(333\) −15.6823 + 8.59349i −0.859385 + 0.470920i
\(334\) 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 \(0.930302\pi\)
\(338\) 23.1345 + 6.19887i 1.25835 + 0.337174i
\(339\) 8.34756 19.5335i 0.453377 1.06092i
\(340\) −14.4174 1.59398i −0.781893 0.0864458i
\(341\) −4.12112 + 2.37933i −0.223171 + 0.128848i
\(342\) −24.3762 14.8084i −1.31811 0.800746i
\(343\) 18.0716 4.05191i 0.975774 0.218783i
\(344\) 6.74660 0.363752
\(345\) 12.1148 3.37154i 0.652241 0.181518i
\(346\) −0.0706711 + 0.122406i −0.00379930 + 0.00658058i
\(347\) −2.64806 + 0.709546i −0.142155 + 0.0380904i −0.329195 0.944262i \(-0.606777\pi\)
0.187040 + 0.982352i \(0.440111\pi\)
\(348\) 8.86901 + 1.26844i 0.475429 + 0.0679955i
\(349\) 21.9804i 1.17658i 0.808650 + 0.588291i \(0.200199\pi\)
−0.808650 + 0.588291i \(0.799801\pi\)
\(350\) −27.3050 11.8190i −1.45951 0.631753i
\(351\) −7.45895 + 2.80102i −0.398129 + 0.149507i
\(352\) −28.0786 7.52365i −1.49660 0.401012i
\(353\) 2.35901 + 8.80395i 0.125558 + 0.468587i 0.999859 0.0167963i \(-0.00534668\pi\)
−0.874301 + 0.485383i \(0.838680\pi\)
\(354\) −16.8462 7.19915i −0.895366 0.382630i
\(355\) −1.57739 10.3191i −0.0837192 0.547681i
\(356\) 10.7467i 0.569572i
\(357\) 1.86671 + 9.53823i 0.0987968 + 0.504816i
\(358\) 31.6729 + 31.6729i 1.67396 + 1.67396i
\(359\) −9.46634 16.3962i −0.499614 0.865357i 0.500386 0.865803i \(-0.333192\pi\)
−1.00000 0.000445509i \(0.999858\pi\)
\(360\) −2.06055 15.8380i −0.108600 0.834738i
\(361\) −0.565929 + 0.980219i −0.0297858 + 0.0515905i
\(362\) −7.61821 + 28.4315i −0.400404 + 1.49433i
\(363\) 12.4621 + 9.78532i 0.654091 + 0.513596i
\(364\) −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
\(367\) −0.722084 2.69485i −0.0376925 0.140670i 0.944515 0.328467i \(-0.106532\pi\)
−0.982208 + 0.187797i \(0.939865\pi\)
\(368\) −0.640550 2.39057i −0.0333910 0.124617i
\(369\) −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
\(372\) −3.46848 + 4.41729i −0.179832 + 0.229026i
\(373\) −3.15087 + 11.7592i −0.163146 + 0.608870i 0.835123 + 0.550063i \(0.185396\pi\)
−0.998269 + 0.0588067i \(0.981270\pi\)
\(374\) 10.7058 18.5430i 0.553585 0.958837i
\(375\) 12.9743 14.3760i 0.669988 0.742372i
\(376\) 6.28582 + 10.8874i 0.324166 + 0.561473i
\(377\) 1.83366 + 1.83366i 0.0944381 + 0.0944381i
\(378\) −28.0700 + 12.9671i −1.44377 + 0.666957i
\(379\) 13.7261i 0.705060i −0.935800 0.352530i \(-0.885321\pi\)
0.935800 0.352530i \(-0.114679\pi\)
\(380\) 28.5778 4.36844i 1.46601 0.224096i
\(381\) 5.89645 13.7979i 0.302084 0.706886i
\(382\) 6.72786 + 25.1087i 0.344227 + 1.28467i
\(383\) 32.9294 + 8.82340i 1.68261 + 0.450855i 0.968467 0.249142i \(-0.0801487\pi\)
0.714146 + 0.699997i \(0.246815\pi\)
\(384\) −28.1663 + 3.38894i −1.43736 + 0.172941i
\(385\) 19.4517 18.0779i 0.991351 0.921335i
\(386\) 31.6538i 1.61114i
\(387\) 8.49881 + 0.189661i 0.432019 + 0.00964101i
\(388\) 23.4169 6.27453i 1.18881 0.318541i
\(389\) −17.0556 + 29.5411i −0.864751 + 1.49779i 0.00254324 + 0.999997i \(0.499190\pi\)
−0.867294 + 0.497796i \(0.834143\pi\)
\(390\) 6.56668 11.6311i 0.332517 0.588964i
\(391\) 6.88637 0.348259
\(392\) −16.5566 1.90834i −0.836236 0.0963858i
\(393\) −18.7555 + 23.8861i −0.946089 + 1.20489i
\(394\) 47.8597 27.6318i 2.41114 1.39207i
\(395\) 11.6558 9.33506i 0.586467 0.469698i
\(396\) 39.5356 + 11.5449i 1.98674 + 0.580151i
\(397\) 13.5700 + 3.63606i 0.681057 + 0.182489i 0.582730 0.812666i \(-0.301984\pi\)
0.0983265 + 0.995154i \(0.468651\pi\)
\(398\) 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 −0.0715372 0.997438i \(-0.522790\pi\)
0.828038 + 0.560672i \(0.189457\pi\)
\(402\) 2.13208 0.855396i 0.106338 0.0426633i
\(403\) −1.57020 + 0.420734i −0.0782172 + 0.0209582i
\(404\) −20.2321 35.0431i −1.00659 1.74346i
\(405\) −2.15047 20.0094i −0.106858 0.994274i
\(406\) 7.61955 + 6.57412i 0.378152 + 0.326268i
\(407\) 18.9194 + 18.9194i 0.937799 + 0.937799i
\(408\) 1.23828 8.65812i 0.0613039 0.428641i
\(409\) −11.6480 6.72496i −0.575955 0.332528i 0.183569 0.983007i \(-0.441235\pi\)
−0.759524 + 0.650479i \(0.774568\pi\)
\(410\) 29.2042 + 3.22881i 1.44229 + 0.159459i
\(411\) 7.49043 5.61596i 0.369475 0.277015i
\(412\) 7.61791 7.61791i 0.375308 0.375308i
\(413\) −6.99584 10.2892i −0.344243 0.506300i
\(414\) 5.19671 + 21.2829i 0.255404 + 1.04600i
\(415\) −20.7311 + 28.2127i −1.01765 + 1.38491i
\(416\) −8.59981 4.96511i −0.421641 0.243434i
\(417\) −4.11363 10.2533i −0.201446 0.502104i
\(418\) −11.0450 + 41.2205i −0.540229 + 2.01616i
\(419\) −35.0036 −1.71004 −0.855018 0.518598i \(-0.826454\pi\)
−0.855018 + 0.518598i \(0.826454\pi\)
\(420\) 13.3621 28.3500i 0.652002 1.38334i
\(421\) 10.4231 0.507989 0.253995 0.967206i \(-0.418255\pi\)
0.253995 + 0.967206i \(0.418255\pi\)
\(422\) 7.36369 27.4817i 0.358459 1.33779i
\(423\) 7.61229 + 13.8917i 0.370122 + 0.675438i
\(424\) 17.8174 + 10.2869i 0.865292 + 0.499576i
\(425\) 8.95545 5.67936i 0.434403 0.275490i
\(426\) 18.0562 2.17251i 0.874827 0.105258i
\(427\) −20.5192 + 1.51134i −0.992995 + 0.0731390i
\(428\) 20.1186 20.1186i 0.972471 0.972471i
\(429\) 7.15118 + 9.53806i 0.345262 + 0.460502i
\(430\) −11.1233 + 8.90857i −0.536412 + 0.429609i
\(431\) 13.7352 + 7.93000i 0.661600 + 0.381975i 0.792886 0.609370i \(-0.208577\pi\)
−0.131287 + 0.991344i \(0.541911\pi\)
\(432\) −3.94188 + 0.385281i −0.189654 + 0.0185369i
\(433\) −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
\(435\) −5.64060 + 3.32944i −0.270446 + 0.159635i
\(436\) −28.8967 50.0505i −1.38390 2.39699i
\(437\) −13.2573 + 3.55227i −0.634181 + 0.169928i
\(438\) −6.33779 15.7970i −0.302831 0.754808i
\(439\) −18.5791 + 10.7267i −0.886734 + 0.511956i −0.872873 0.487948i \(-0.837746\pi\)
−0.0138613 + 0.999904i \(0.504412\pi\)
\(440\) −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
\(443\) −22.1872 5.94505i −1.05415 0.282458i −0.310183 0.950677i \(-0.600390\pi\)
−0.743965 + 0.668219i \(0.767057\pi\)
\(444\) 29.0378 + 12.4092i 1.37807 + 0.588913i
\(445\) −4.91136 6.13235i −0.232821 0.290701i
\(446\) −41.2866 + 23.8368i −1.95498 + 1.12871i
\(447\) −15.1022 11.8583i −0.714308 0.560879i
\(448\) −31.0677 15.0104i −1.46781 0.709173i
\(449\) 16.0964 0.759636 0.379818 0.925061i \(-0.375987\pi\)
0.379818 + 0.925061i \(0.375987\pi\)
\(450\) 24.3107 + 23.3917i 1.14602 + 1.10270i
\(451\) −13.1120 + 22.7107i −0.617421 + 1.06940i
\(452\) −36.2333 + 9.70868i −1.70427 + 0.456658i
\(453\) 2.58691 18.0879i 0.121544 0.849842i
\(454\) 34.1770i 1.60400i
\(455\) 8.01676 4.24529i 0.375832 0.199022i
\(456\) 2.08235 + 17.3069i 0.0975150 + 0.810470i
\(457\) 17.6588 + 4.73167i 0.826045 + 0.221338i 0.646988 0.762500i \(-0.276028\pi\)
0.179058 + 0.983839i \(0.442695\pi\)
\(458\) −6.46946 24.1444i −0.302298 1.12819i
\(459\) 1.80328 10.8720i 0.0841698 0.507460i
\(460\) −17.8946 13.1492i −0.834341 0.613086i
\(461\) 11.0171i 0.513119i −0.966528 0.256560i \(-0.917411\pi\)
0.966528 0.256560i \(-0.0825890\pi\)
\(462\) 30.3963 + 34.8768i 1.41417 + 1.62261i
\(463\) −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
\(465\) −0.0395441 4.10577i −0.00183381 0.190401i
\(466\) −10.4192 + 18.0466i −0.482661 + 0.835993i
\(467\) 5.25552 19.6139i 0.243196 0.907621i −0.731085 0.682286i \(-0.760986\pi\)
0.974281 0.225335i \(-0.0723476\pi\)
\(468\) 12.0247 + 7.30493i 0.555842 + 0.337670i
\(469\) 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
\(472\) 2.89792 + 10.8152i 0.133388 + 0.497810i
\(473\) −3.29198 12.2858i −0.151365 0.564903i
\(474\) 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
\(477\) 22.1558 + 13.4595i 1.01444 + 0.616267i
\(478\) −14.0960 + 52.6069i −0.644734 + 2.40618i
\(479\) 2.76000 4.78046i 0.126108 0.218425i −0.796058 0.605221i \(-0.793085\pi\)
0.922165 + 0.386796i \(0.126418\pi\)
\(480\) 17.5640 17.9056i 0.801684 0.817277i
\(481\) 4.57002 + 7.91551i 0.208375 + 0.360916i
\(482\) 16.1055 + 16.1055i 0.733585 + 0.733585i
\(483\) −4.82620 + 14.0748i −0.219600 + 0.640424i
\(484\) 27.9799i 1.27181i
\(485\) −10.4948 + 14.2822i −0.476543 + 0.648522i
\(486\) 34.9616 2.63121i 1.58589 0.119354i
\(487\) 2.21452 + 8.26468i 0.100349 + 0.374509i 0.997776 0.0666548i \(-0.0212326\pi\)
−0.897427 + 0.441163i \(0.854566\pi\)
\(488\) 17.8842 + 4.79207i 0.809582 + 0.216927i
\(489\) 1.47782 + 12.2825i 0.0668295 + 0.555436i
\(490\) 29.8172 18.7159i 1.34700 0.845500i
\(491\) 6.00183i 0.270859i −0.990787 0.135429i \(-0.956759\pi\)
0.990787 0.135429i \(-0.0432414\pi\)
\(492\) −4.38190 + 30.6386i −0.197551 + 1.38129i
\(493\) −3.46461 + 0.928340i −0.156038 + 0.0418103i
\(494\) −7.28897 + 12.6249i −0.327946 + 0.568020i
\(495\) −27.8363 + 11.4805i −1.25115 + 0.516008i
\(496\) −0.808083 −0.0362840
\(497\) 11.1215 + 5.37335i 0.498868 + 0.241028i
\(498\) −47.9726 37.6684i −2.14971 1.68796i
\(499\) 18.3533 10.5963i 0.821605 0.474354i −0.0293648 0.999569i \(-0.509348\pi\)
0.850970 + 0.525215i \(0.176015\pi\)
\(500\) −34.1157 2.34189i −1.52570 0.104732i
\(501\) −26.8137 11.4587i −1.19795 0.511937i
\(502\) −47.2262 12.6542i −2.10781 0.564786i
\(503\) −20.3830 + 20.3830i −0.908834 + 0.908834i −0.996178 0.0873440i \(-0.972162\pi\)
0.0873440 + 0.996178i \(0.472162\pi\)
\(504\) 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
\(507\) −6.86779 17.1180i −0.305009 0.760237i
\(508\) −25.5941 + 6.85791i −1.13555 + 0.304270i
\(509\) 1.72032 + 2.97968i 0.0762518 + 0.132072i 0.901630 0.432508i \(-0.142371\pi\)
−0.825378 + 0.564580i \(0.809038\pi\)
\(510\) 9.39107 + 15.9099i 0.415843 + 0.704504i
\(511\) 2.16364 11.3557i 0.0957140 0.502346i
\(512\) −6.05700 6.05700i −0.267684 0.267684i
\(513\) 2.13664 + 21.8603i 0.0943349 + 0.965158i
\(514\) 6.21472 + 3.58807i 0.274120 + 0.158263i
\(515\) −0.865514 + 7.82848i −0.0381391 + 0.344964i
\(516\) −9.00503 12.0107i −0.396424 0.528741i
\(517\) 16.7592 16.7592i 0.737068 0.737068i
\(518\) 19.9439 + 29.3328i 0.876284 + 1.28881i
\(519\) 0.108068 0.0130026i 0.00474366 0.000570752i
\(520\) −8.06959 + 1.23353i −0.353875 + 0.0540937i
\(521\) −10.4103 6.01040i −0.456084 0.263320i 0.254312 0.967122i \(-0.418151\pi\)
−0.710396 + 0.703802i \(0.751484\pi\)
\(522\) −5.48364 10.0071i −0.240012 0.438000i
\(523\) −4.72205 + 17.6229i −0.206481 + 0.770597i 0.782512 + 0.622635i \(0.213938\pi\)
−0.988993 + 0.147962i \(0.952729\pi\)
\(524\) 53.6289 2.34279
\(525\) 5.33154 + 22.2840i 0.232688 + 0.972552i
\(526\) 61.5673 2.68446
\(527\) 0.581949 2.17186i 0.0253501 0.0946079i
\(528\) 2.20657 + 5.49989i 0.0960286 + 0.239352i
\(529\) −10.7886 6.22878i −0.469068 0.270817i
\(530\) −42.9594 + 6.56683i −1.86604 + 0.285245i
\(531\) 3.34653 + 13.7056i 0.145227 + 0.594770i
\(532\) −14.8810 + 30.8000i −0.645174 + 1.33535i
\(533\) −6.33448 + 6.33448i −0.274377 + 0.274377i
\(534\) 10.9514 8.21083i 0.473914 0.355318i
\(535\) −2.28579 + 20.6747i −0.0988234 + 0.893847i
\(536\) −1.21593 0.702016i −0.0525201 0.0303225i
\(537\) 4.88367 34.1469i 0.210746 1.47355i
\(538\) −7.63822 7.63822i −0.329307 0.329307i
\(539\) 4.60358 + 31.0815i 0.198290 + 1.33877i
\(540\) −25.4455 + 24.8082i −1.09500 + 1.06757i
\(541\) −13.7503 23.8162i −0.591172 1.02394i −0.994075 0.108697i \(-0.965332\pi\)
0.402903 0.915243i \(-0.368001\pi\)
\(542\) 14.1313 3.78646i 0.606990 0.162643i
\(543\) 21.0375 8.44029i 0.902804 0.362208i
\(544\) 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 \(-0.0801066\pi\)
\(548\) −15.9687 4.27879i −0.682147 0.182781i
\(549\) 22.3944 + 6.53942i 0.955769 + 0.279096i
\(550\) 23.4002 44.7263i 0.997787 1.90713i
\(551\) 6.19101 3.57438i 0.263746 0.152274i
\(552\) 8.26914 10.5312i 0.351958 0.448237i
\(553\) 1.29791 + 17.6215i 0.0551928 + 0.749342i
\(554\) 2.75618 0.117099
\(555\) −22.2409 + 6.18963i −0.944075 + 0.262735i
\(556\) −9.75441 + 16.8951i −0.413679 + 0.716513i
\(557\) −5.56648 + 1.49153i −0.235859 + 0.0631983i −0.374812 0.927101i \(-0.622293\pi\)
0.138953 + 0.990299i \(0.455626\pi\)
\(558\) 7.15150 + 0.159594i 0.302747 + 0.00675616i
\(559\) 4.34497i 0.183773i
\(560\) 4.39554 1.00700i 0.185746 0.0425535i
\(561\) −16.3710 + 1.96974i −0.691184 + 0.0831626i
\(562\) 27.9350 + 7.48515i 1.17837 + 0.315742i
\(563\) −3.52788 13.1662i −0.148682 0.554890i −0.999564 0.0295322i \(-0.990598\pi\)
0.850882 0.525358i \(-0.176068\pi\)
\(564\) 10.9923 25.7223i 0.462859 1.08310i
\(565\) 16.2388 22.0991i 0.683169 0.929717i
\(566\) 3.26768i 0.137351i
\(567\) 20.9570 + 11.3051i 0.880110 + 0.474769i
\(568\) −7.85955 7.85955i −0.329779 0.329779i
\(569\) 7.70038 + 13.3375i 0.322817 + 0.559135i 0.981068 0.193663i \(-0.0620369\pi\)
−0.658251 + 0.752798i \(0.728704\pi\)
\(570\) −26.2862 25.7847i −1.10101 1.08000i
\(571\) 19.9476 34.5503i 0.834782 1.44589i −0.0594250 0.998233i \(-0.518927\pi\)
0.894207 0.447653i \(-0.147740\pi\)
\(572\) 5.44847 20.3340i 0.227812 0.850206i
\(573\) 12.3628 15.7446i 0.516462 0.657741i
\(574\) −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
\(577\) 9.68219 + 36.1344i 0.403075 + 1.50430i 0.807579 + 0.589760i \(0.200777\pi\)
−0.404504 + 0.914536i \(0.632556\pi\)
\(578\) −7.27751 27.1600i −0.302705 1.12971i
\(579\) −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
\(582\) −24.2854 19.0690i −1.00666 0.790437i
\(583\) 10.0389 37.4657i 0.415769 1.55167i
\(584\) −5.20137 + 9.00904i −0.215234 + 0.372797i
\(585\) −10.2001 + 1.32704i −0.421721 + 0.0548664i
\(586\) 2.12003 + 3.67200i 0.0875776 + 0.151689i
\(587\) 6.77064 + 6.77064i 0.279454 + 0.279454i 0.832891 0.553437i \(-0.186684\pi\)
−0.553437 + 0.832891i \(0.686684\pi\)
\(588\) 18.7017 + 32.0222i 0.771243 + 1.32057i
\(589\) 4.48135i 0.184651i
\(590\) −19.0588 14.0047i −0.784640 0.576565i
\(591\) −39.1347 16.7240i −1.60979 0.687934i
\(592\) 1.17595 + 4.38871i 0.0483312 + 0.180375i
\(593\) −10.1211 2.71193i −0.415622 0.111366i 0.0449473 0.998989i \(-0.485688\pi\)
−0.460569 + 0.887624i \(0.652355\pi\)
\(594\) −18.4418 49.1095i −0.756677 2.01499i
\(595\) −0.459010 + 12.5390i −0.0188176 + 0.514049i
\(596\) 33.9073i 1.38890i
\(597\) −24.7948 3.54614i −1.01478 0.145134i
\(598\) 10.8161 2.89817i 0.442303 0.118515i
\(599\) −9.01460 + 15.6137i −0.368327 + 0.637960i −0.989304 0.145868i \(-0.953402\pi\)
0.620978 + 0.783828i \(0.286736\pi\)
\(600\) 2.06835 20.5151i 0.0844402 0.837527i
\(601\) −10.2303 −0.417304 −0.208652 0.977990i \(-0.566908\pi\)
−0.208652 + 0.977990i \(0.566908\pi\)
\(602\) −1.23861 16.8164i −0.0504821 0.685386i
\(603\) −1.51199 0.918525i −0.0615730 0.0374052i
\(604\) −27.9431 + 16.1330i −1.13699 + 0.656440i
\(605\) 12.7872 + 15.9661i 0.519872 + 0.649115i
\(606\) −20.2526 + 47.3918i −0.822707 + 1.92516i
\(607\) 5.38723 + 1.44350i 0.218661 + 0.0585900i 0.366486 0.930423i \(-0.380561\pi\)
−0.147825 + 0.989013i \(0.547227\pi\)
\(608\) −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
\(612\) −17.0665 + 9.35198i −0.689871 + 0.378031i
\(613\) 6.27411 1.68114i 0.253409 0.0679007i −0.129878 0.991530i \(-0.541459\pi\)
0.383287 + 0.923629i \(0.374792\pi\)
\(614\) 14.8687 + 25.7534i 0.600052 + 1.03932i
\(615\) −11.5018 19.4858i −0.463796 0.785744i
\(616\) 5.29217 27.7755i 0.213228 1.11911i
\(617\) −14.3669 14.3669i −0.578389 0.578389i 0.356070 0.934459i \(-0.384116\pi\)
−0.934459 + 0.356070i \(0.884116\pi\)
\(618\) −13.5834 1.94269i −0.546405 0.0781464i
\(619\) 29.1112 + 16.8074i 1.17008 + 0.675546i 0.953699 0.300763i \(-0.0972414\pi\)
0.216381 + 0.976309i \(0.430575\pi\)
\(620\) −5.65931 + 4.53251i −0.227283 + 0.182030i
\(621\) 10.7128 13.0338i 0.429891 0.523030i
\(622\) −11.5380 + 11.5380i −0.462631 + 0.462631i
\(623\) 9.27101 0.682856i 0.371435 0.0273580i
\(624\) 0.241826 + 2.00987i 0.00968078 + 0.0804592i
\(625\) 20.5377 14.2550i 0.821507 0.570199i
\(626\) 43.5858 + 25.1643i 1.74204 + 1.00577i
\(627\) 30.5005 12.2369i 1.21807 0.488694i
\(628\) 2.63816 9.84574i 0.105274 0.392888i
\(629\) −12.6423 −0.504081
\(630\) −39.0993 + 8.04379i −1.55775 + 0.320472i
\(631\) 5.20858 0.207350 0.103675 0.994611i \(-0.466940\pi\)
0.103675 + 0.994611i \(0.466940\pi\)
\(632\) 4.11533 15.3586i 0.163699 0.610933i
\(633\) −20.3346 + 8.15831i −0.808228 + 0.324264i
\(634\) −39.3402 22.7131i −1.56240 0.902050i
\(635\) 11.4705 15.6101i 0.455194 0.619469i
\(636\) −5.46851 45.4501i −0.216841 1.80221i
\(637\) −1.22902 + 10.6629i −0.0486955 + 0.422478i
\(638\) −12.0728 + 12.0728i −0.477965 + 0.477965i
\(639\) −9.67986 10.1218i −0.382930 0.400411i
\(640\) −36.4030 4.02470i −1.43896 0.159090i
\(641\) 28.8032 + 16.6295i 1.13766 + 0.656828i 0.945850 0.324605i \(-0.105231\pi\)
0.191809 + 0.981432i \(0.438565\pi\)
\(642\) −35.8733 5.13058i −1.41581 0.202488i
\(643\) −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
\(645\) 10.6276 + 2.73822i 0.418460 + 0.107817i
\(646\) −10.0819 17.4624i −0.396668 0.687050i
\(647\) −41.4091 + 11.0955i −1.62796 + 0.436210i −0.953326 0.301944i \(-0.902365\pi\)
−0.674632 + 0.738154i \(0.735698\pi\)
\(648\) −14.4609 15.8128i −0.568078 0.621184i
\(649\) 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
\(653\) −2.13627 0.572412i −0.0835988 0.0224002i 0.216777 0.976221i \(-0.430445\pi\)
−0.300376 + 0.953821i \(0.597112\pi\)
\(654\) −28.9260 + 67.6876i −1.13110 + 2.64680i
\(655\) −30.6022 + 24.5091i −1.19573 + 0.957650i
\(656\) −3.85657 + 2.22659i −0.150574 + 0.0869338i
\(657\) −6.80552 + 11.2026i −0.265509 + 0.437056i
\(658\) 25.9836 17.6667i 1.01295 0.688720i
\(659\) −3.05561 −0.119030 −0.0595149 0.998227i \(-0.518955\pi\)
−0.0595149 + 0.998227i \(0.518955\pi\)
\(660\) 46.3021 + 26.1412i 1.80231 + 1.01755i
\(661\) 12.6893 21.9785i 0.493557 0.854865i −0.506416 0.862289i \(-0.669030\pi\)
0.999972 + 0.00742420i \(0.00236322\pi\)
\(662\) 13.6471 3.65673i 0.530410 0.142123i
\(663\) −5.57604 0.797481i −0.216555 0.0309716i
\(664\) 37.2780i 1.44667i
\(665\) −5.58448 24.3762i −0.216557 0.945268i
\(666\) −9.54035 39.0721i −0.369681 1.51401i
\(667\) −5.30402 1.42121i −0.205373 0.0550294i
\(668\) 13.3271 + 49.7375i 0.515642 + 1.92440i
\(669\) 33.7599 + 14.4271i 1.30523 + 0.557785i
\(670\) 2.93171 0.448145i 0.113262 0.0173133i
\(671\) 34.9062i 1.34754i
\(672\) 5.69999 + 29.1249i 0.219882 + 1.12352i
\(673\) 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
\(675\) 3.18227 25.7851i 0.122486 0.992470i
\(676\) −16.2852 + 28.2067i −0.626353 + 1.08487i
\(677\) 0.649513 2.42401i 0.0249628 0.0931624i −0.952321 0.305099i \(-0.901310\pi\)
0.977283 + 0.211937i \(0.0679771\pi\)
\(678\) 37.5772 + 29.5058i 1.44314 + 1.13316i
\(679\) −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
\(682\) −2.77010 10.3382i −0.106073 0.395869i
\(683\) 1.78477 + 6.66085i 0.0682923 + 0.254870i 0.991629 0.129121i \(-0.0412157\pi\)
−0.923336 + 0.383992i \(0.874549\pi\)
\(684\) 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
\(687\) −11.8880 + 15.1399i −0.453554 + 0.577624i
\(688\) 0.559020 2.08629i 0.0213124 0.0795391i
\(689\) 6.62501 11.4749i 0.252393 0.437157i
\(690\) 0.272394 + 28.2820i 0.0103699 + 1.07668i
\(691\) 22.7110 + 39.3365i 0.863965 + 1.49643i 0.868071 + 0.496440i \(0.165360\pi\)
−0.00410532 + 0.999992i \(0.501307\pi\)
\(692\) −0.135914 0.135914i −0.00516666 0.00516666i
\(693\) 7.44746 34.8405i 0.282906 1.32348i
\(694\) 6.16593i 0.234056i
\(695\) −2.15515 14.0987i −0.0817494 0.534795i
\(696\) −2.74061 + 6.41310i −0.103882 + 0.243088i
\(697\) −3.20701 11.9687i −0.121474 0.453347i
\(698\) −47.7521 12.7951i −1.80745 0.484304i
\(699\) 15.9327 1.91701i 0.602631 0.0725080i
\(700\) 25.1354 31.7068i 0.950030 1.19841i
\(701\) 39.7345i 1.50075i 0.661011 + 0.750377i \(0.270128\pi\)
−0.661011 + 0.750377i \(0.729872\pi\)
\(702\) −1.74320 17.8350i −0.0657930 0.673140i
\(703\) 24.3383 6.52142i 0.917935 0.245960i
\(704\) 29.2687 50.6950i 1.10311 1.91064i
\(705\) 5.48290 + 19.7015i 0.206498 + 0.742001i
\(706\) −20.4997 −0.771518
\(707\) −28.9457 + 19.6807i −1.08861 + 0.740168i
\(708\) 15.3858 19.5946i 0.578235 0.736412i
\(709\) −33.3407 + 19.2493i −1.25214 + 0.722921i −0.971533 0.236903i \(-0.923868\pi\)
−0.280603 + 0.959824i \(0.590534\pi\)
\(710\) 23.3364 + 2.58006i 0.875800 + 0.0968281i
\(711\) 5.61592 19.2318i 0.210613 0.721250i
\(712\) −8.08047 2.16516i −0.302828 0.0811426i
\(713\) 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
\(717\) 38.9256 15.6171i 1.45370 0.583230i
\(718\) 41.1311 11.0210i 1.53500 0.411302i
\(719\) 8.52509 + 14.7659i 0.317932 + 0.550675i 0.980056 0.198719i \(-0.0636782\pi\)
−0.662124 + 0.749394i \(0.730345\pi\)
\(720\) −5.06843 0.675138i −0.188889 0.0251609i
\(721\) −7.05593 6.08783i −0.262777 0.226723i
\(722\) −1.80008 1.80008i −0.0669920 0.0669920i
\(723\) 2.48332 17.3635i 0.0923557 0.645757i
\(724\) −34.6652 20.0139i −1.28832 0.743812i
\(725\) −8.06977 + 2.52614i −0.299704 + 0.0938184i
\(726\) −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 \(0.231595\pi\)
\(728\) 4.20199 8.69707i 0.155736 0.322335i
\(729\) −17.7721 20.3261i −0.658227 0.752820i
\(730\) −3.32039 21.7216i −0.122893 0.803953i
\(731\) 5.20469 + 3.00493i 0.192503 + 0.111141i
\(732\) −15.3399 38.2348i −0.566979 1.41320i
\(733\) −5.73337 + 21.3972i −0.211767 + 0.790325i 0.775513 + 0.631332i \(0.217491\pi\)
−0.987280 + 0.158993i \(0.949175\pi\)
\(734\) 6.27489 0.231610
\(735\) −25.3063 9.72590i −0.933435 0.358745i
\(736\) 21.0275 0.775083
\(737\) −0.685093 + 2.55680i −0.0252357 + 0.0941810i
\(738\) 34.5702 18.9436i 1.27255 0.697323i
\(739\) 27.9866 + 16.1581i 1.02950 + 0.594384i 0.916842 0.399250i \(-0.130729\pi\)
0.112661 + 0.993634i \(0.464063\pi\)
\(740\) 32.8517 + 24.1399i 1.20765 + 0.887401i
\(741\) 11.1461 1.34108i 0.409461 0.0492659i
\(742\) 22.3698 46.2999i 0.821221 1.69972i
\(743\) 19.2303 19.2303i 0.705491 0.705491i −0.260093 0.965584i \(-0.583753\pi\)
0.965584 + 0.260093i \(0.0837531\pi\)
\(744\) −2.62258 3.49793i −0.0961485 0.128240i
\(745\) −15.4961 19.3485i −0.567732 0.708873i
\(746\) −23.7126 13.6905i −0.868182 0.501245i
\(747\) −1.04796 + 46.9598i −0.0383430 + 1.71817i
\(748\) 20.5893 + 20.5893i 0.752818 + 0.752818i
\(749\) −18.6345 16.0777i −0.680889 0.587468i
\(750\) 23.6791 + 36.5550i 0.864640 + 1.33480i
\(751\) 7.57272 + 13.1163i 0.276332 + 0.478622i 0.970470 0.241220i \(-0.0775476\pi\)
−0.694138 + 0.719842i \(0.744214\pi\)
\(752\) 3.88761 1.04168i 0.141766 0.0379862i
\(753\) 14.0197 + 34.9443i 0.510908 + 1.27344i
\(754\) −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 \(0.367859\pi\)
\(758\) 29.8198 + 7.99018i 1.08310 + 0.290216i
\(759\) −23.2126 9.91979i −0.842564 0.360066i
\(760\) −2.47299 + 22.3680i −0.0897049 + 0.811371i
\(761\) −5.22504 + 3.01668i −0.189407 + 0.109354i −0.591705 0.80615