Properties

Label 105.2.x.a.53.11
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 53.11
Character \(\chi\) \(=\) 105.53
Dual form 105.2.x.a.2.11

$q$-expansion

\(f(q)\) \(=\) \(q+(0.582118 - 2.17249i) q^{2} +(1.71460 - 0.245221i) q^{3} +(-2.64881 - 1.52929i) q^{4} +(-2.21039 + 0.337883i) q^{5} +(0.465359 - 3.86771i) q^{6} +(-1.15099 + 2.38227i) q^{7} +(-1.68355 + 1.68355i) q^{8} +(2.87973 - 0.840915i) q^{9} +O(q^{10})\) \(q+(0.582118 - 2.17249i) q^{2} +(1.71460 - 0.245221i) 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} +(2.87973 - 0.840915i) q^{9} +(-0.552660 + 4.99875i) q^{10} +(3.88729 + 2.24433i) q^{11} +(-4.91668 - 1.97258i) 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} +(-2.04863 + 0.548929i) q^{17} +(-0.150539 - 6.74571i) q^{18} +(-3.66075 + 2.11354i) q^{19} +(6.37164 + 2.48535i) q^{20} +(-1.38931 + 4.36690i) q^{21} +(7.13864 - 7.13864i) q^{22} +(-3.13628 - 0.840363i) q^{23} +(-2.47377 + 3.29946i) q^{24} +(4.77167 - 1.49371i) q^{25} +(-2.98667 + 1.72435i) q^{26} +(4.73139 - 2.14801i) q^{27} +(6.69195 - 4.54998i) q^{28} +1.69118 q^{29} +(0.278208 + 8.70640i) q^{30} +(0.530077 - 0.918121i) q^{31} +(-6.25547 + 1.67615i) q^{32} +(7.21551 + 2.89488i) 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} +(-2.12493 - 1.59317i) q^{39} +(3.15246 - 4.29014i) q^{40} +5.84230i q^{41} +(8.67831 + 5.56032i) q^{42} +(2.00369 + 2.00369i) q^{43} +(-6.86446 - 11.8896i) q^{44} +(-6.08121 + 2.83177i) q^{45} +(-3.65136 + 6.32435i) q^{46} +(1.36662 - 5.10030i) q^{47} +(-0.815335 - 1.03837i) q^{48} +(-4.35043 - 5.48395i) q^{49} +(-0.467398 - 11.2359i) q^{50} +(-3.37798 + 1.44356i) q^{51} +(1.21383 + 4.53008i) q^{52} +(-2.23651 - 8.34677i) q^{53} +(-1.91231 - 11.5293i) q^{54} +(-9.35075 - 3.64739i) q^{55} +(-2.07291 - 5.94841i) q^{56} +(-5.75846 + 4.52157i) q^{57} +(0.984468 - 3.67409i) q^{58} +(2.35137 - 4.07269i) q^{59} +(11.5343 + 2.69892i) q^{60} +(3.88827 + 6.73469i) q^{61} +(-1.68604 - 1.68604i) q^{62} +(-1.31127 + 7.82819i) q^{63} +13.0412i q^{64} +(2.76295 + 2.03026i) q^{65} +(10.4894 - 13.9905i) 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} +(-3.43244 + 6.26388i) q^{72} +(-4.22038 + 1.13085i) q^{73} +(-6.70333 + 11.6105i) q^{74} +(7.81523 - 3.73123i) q^{75} +12.9289 q^{76} +(-9.82083 + 6.67736i) q^{77} +(-4.69811 + 3.68898i) q^{78} +(5.78361 - 3.33917i) q^{79} +(1.06546 + 1.33033i) q^{80} +(7.58572 - 4.84322i) q^{81} +(12.6924 + 3.40091i) q^{82} +(11.0713 - 11.0713i) q^{83} +(10.3583 - 9.44243i) q^{84} +(4.34280 - 1.90555i) q^{85} +(5.51938 - 3.18661i) q^{86} +(2.89971 - 0.414715i) q^{87} +(-10.3228 + 2.76600i) 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} +(0.683730 - 1.70420i) q^{93} +(-10.2848 - 5.93795i) q^{94} +(7.37757 - 5.90865i) q^{95} +(-10.3146 + 4.40791i) 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 \(-0.624039\pi\)
0.791512 0.611154i \(-0.209294\pi\)
\(3\) 1.71460 0.245221i 0.989927 0.141579i
\(4\) −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
\(9\) 2.87973 0.840915i 0.959911 0.280305i
\(10\) −0.552660 + 4.99875i −0.174766 + 1.58074i
\(11\) 3.88729 + 2.24433i 1.17206 + 0.676690i 0.954165 0.299282i \(-0.0967473\pi\)
0.217896 + 0.975972i \(0.430081\pi\)
\(12\) −4.91668 1.97258i −1.41932 0.569436i
\(13\) −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
\(17\) −2.04863 + 0.548929i −0.496866 + 0.133135i −0.498545 0.866864i \(-0.666132\pi\)
0.00167924 + 0.999999i \(0.499465\pi\)
\(18\) −0.150539 6.74571i −0.0354823 1.58998i
\(19\) −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
\(21\) −1.38931 + 4.36690i −0.303173 + 0.952936i
\(22\) 7.13864 7.13864i 1.52196 1.52196i
\(23\) −3.13628 0.840363i −0.653959 0.175228i −0.0834407 0.996513i \(-0.526591\pi\)
−0.570518 + 0.821285i \(0.693258\pi\)
\(24\) −2.47377 + 3.29946i −0.504957 + 0.673499i
\(25\) 4.77167 1.49371i 0.954334 0.298742i
\(26\) −2.98667 + 1.72435i −0.585734 + 0.338174i
\(27\) 4.73139 2.14801i 0.910557 0.413384i
\(28\) 6.69195 4.54998i 1.26466 0.859866i
\(29\) 1.69118 0.314045 0.157023 0.987595i \(-0.449810\pi\)
0.157023 + 0.987595i \(0.449810\pi\)
\(30\) 0.278208 + 8.70640i 0.0507935 + 1.58956i
\(31\) 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
\(33\) 7.21551 + 2.89488i 1.25606 + 0.503935i
\(34\) 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
\(39\) −2.12493 1.59317i −0.340261 0.255111i
\(40\) 3.15246 4.29014i 0.498447 0.678331i
\(41\) 5.84230i 0.912414i 0.889874 + 0.456207i \(0.150792\pi\)
−0.889874 + 0.456207i \(0.849208\pi\)
\(42\) 8.67831 + 5.56032i 1.33909 + 0.857976i
\(43\) 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
\(45\) −6.08121 + 2.83177i −0.906533 + 0.422135i
\(46\) −3.65136 + 6.32435i −0.538364 + 0.932474i
\(47\) 1.36662 5.10030i 0.199342 0.743956i −0.791758 0.610835i \(-0.790834\pi\)
0.991100 0.133120i \(-0.0424996\pi\)
\(48\) −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
\(51\) −3.37798 + 1.44356i −0.473012 + 0.202139i
\(52\) 1.21383 + 4.53008i 0.168328 + 0.628210i
\(53\) −2.23651 8.34677i −0.307208 1.14652i −0.931028 0.364949i \(-0.881087\pi\)
0.623819 0.781569i \(-0.285580\pi\)
\(54\) −1.91231 11.5293i −0.260232 1.56894i
\(55\) −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
\(58\) 0.984468 3.67409i 0.129267 0.482431i
\(59\) 2.35137 4.07269i 0.306122 0.530219i −0.671389 0.741106i \(-0.734302\pi\)
0.977510 + 0.210887i \(0.0676351\pi\)
\(60\) 11.5343 + 2.69892i 1.48907 + 0.348430i
\(61\) 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
\(63\) −1.31127 + 7.82819i −0.165204 + 0.986259i
\(64\) 13.0412i 1.63015i
\(65\) 2.76295 + 2.03026i 0.342702 + 0.251822i
\(66\) 10.4894 13.9905i 1.29115 1.72211i
\(67\) −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 \(0.0893473\pi\)
−0.960864 + 0.277022i \(0.910653\pi\)
\(72\) −3.43244 + 6.26388i −0.404517 + 0.738206i
\(73\) −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
\(75\) 7.81523 3.73123i 0.902426 0.430846i
\(76\) 12.9289 1.48304
\(77\) −9.82083 + 6.67736i −1.11919 + 0.760956i
\(78\) −4.69811 + 3.68898i −0.531956 + 0.417695i
\(79\) 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
\(81\) 7.58572 4.84322i 0.842858 0.538136i
\(82\) 12.6924 + 3.40091i 1.40164 + 0.375567i
\(83\) 11.0713 11.0713i 1.21523 1.21523i 0.245948 0.969283i \(-0.420901\pi\)
0.969283 0.245948i \(-0.0790991\pi\)
\(84\) 10.3583 9.44243i 1.13018 1.03025i
\(85\) 4.34280 1.90555i 0.471043 0.206685i
\(86\) 5.51938 3.18661i 0.595170 0.343621i
\(87\) 2.89971 0.414715i 0.310882 0.0444621i
\(88\) −10.3228 + 2.76600i −1.10042 + 0.294856i
\(89\) 1.75680 + 3.04287i 0.186221 + 0.322544i 0.943987 0.329982i \(-0.107043\pi\)
−0.757766 + 0.652526i \(0.773709\pi\)
\(90\) 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
\(93\) 0.683730 1.70420i 0.0708995 0.176717i
\(94\) −10.2848 5.93795i −1.06080 0.612453i
\(95\) 7.37757 5.90865i 0.756923 0.606215i
\(96\) −10.3146 + 4.40791i −1.05273 + 0.449880i
\(97\) −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 −0.193601 0.981080i \(-0.562017\pi\)
−0.946441 + 0.322877i \(0.895350\pi\)
\(102\) 1.16975 + 8.17896i 0.115822 + 0.809838i
\(103\) −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
\(105\) 1.59543 10.1220i 0.155698 0.987805i
\(106\) −19.4352 −1.88771
\(107\) 2.40763 8.98539i 0.232754 0.868651i −0.746394 0.665504i \(-0.768217\pi\)
0.979148 0.203146i \(-0.0651168\pi\)
\(108\) −15.8175 1.54601i −1.52204 0.148765i
\(109\) 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 −0.985498 0.169687i \(-0.945724\pi\)
0.169687 + 0.985498i \(0.445724\pi\)
\(114\) 6.47098 + 15.1423i 0.606063 + 1.41821i
\(115\) 7.21635 + 0.797836i 0.672928 + 0.0743986i
\(116\) −4.47963 2.58632i −0.415923 0.240133i
\(117\) −4.03409 2.21058i −0.372952 0.204368i
\(118\) −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
\(122\) 16.8945 4.52687i 1.52956 0.409843i
\(123\) 1.43266 + 10.0172i 0.129178 + 0.903224i
\(124\) −2.80815 + 1.62129i −0.252179 + 0.145596i
\(125\) −10.0426 + 4.91395i −0.898234 + 0.439517i
\(126\) 16.2434 + 7.40564i 1.44708 + 0.659747i
\(127\) 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
\(129\) 3.92688 + 2.94418i 0.345742 + 0.259221i
\(130\) 6.01908 4.82065i 0.527908 0.422799i
\(131\) 15.1848 8.76695i 1.32670 0.765972i 0.341915 0.939731i \(-0.388925\pi\)
0.984788 + 0.173759i \(0.0555913\pi\)
\(132\) −14.6854 18.7026i −1.27820 1.62785i
\(133\) −0.821516 11.1536i −0.0712344 0.967137i
\(134\) −1.32633 −0.114578
\(135\) −9.73245 + 6.34660i −0.837636 + 0.546228i
\(136\) 2.52482 4.37311i 0.216501 0.374991i
\(137\) −5.22093 + 1.39894i −0.446054 + 0.119520i −0.474853 0.880065i \(-0.657499\pi\)
0.0287983 + 0.999585i \(0.490832\pi\)
\(138\) −4.70978 + 11.7391i −0.400923 + 0.999302i
\(139\) 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
\(144\) −1.65261 1.58046i −0.137717 0.131705i
\(145\) −3.73818 + 0.571423i −0.310439 + 0.0474541i
\(146\) 9.82703i 0.813291i
\(147\) −8.80405 8.33599i −0.726146 0.687541i
\(148\) 12.8917 + 12.8917i 1.05969 + 1.05969i
\(149\) 5.54298 + 9.60071i 0.454098 + 0.786521i 0.998636 0.0522152i \(-0.0166282\pi\)
−0.544538 + 0.838736i \(0.683295\pi\)
\(150\) −3.55669 19.1506i −0.290403 1.56364i
\(151\) 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
\(153\) −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
\(156\) 3.19212 + 7.46964i 0.255574 + 0.598050i
\(157\) 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
\(159\) −5.88154 13.7630i −0.466436 1.09147i
\(160\) 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
\(163\) −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
\(165\) −16.9272 3.96083i −1.31778 0.308350i
\(166\) −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 \(0.524192\pi\)
\(168\) −5.01290 9.69085i −0.386754 0.747665i
\(169\) 10.6488i 0.819141i
\(170\) −1.61176 10.5440i −0.123616 0.808685i
\(171\) −8.76468 + 9.16480i −0.670252 + 0.700850i
\(172\) −2.24317 8.37161i −0.171040 0.638329i
\(173\) −0.0607017 0.0162650i −0.00461507 0.00123660i 0.256511 0.966541i \(-0.417427\pi\)
−0.261126 + 0.965305i \(0.584094\pi\)
\(174\) 0.787009 6.54101i 0.0596630 0.495873i
\(175\) −1.93374 + 13.0867i −0.146177 + 0.989258i
\(176\) 3.42139i 0.257897i
\(177\) 3.03295 7.55965i 0.227971 0.568218i
\(178\) 7.63328 2.04533i 0.572139 0.153304i
\(179\) −9.95768 + 17.2472i −0.744272 + 1.28912i 0.206263 + 0.978497i \(0.433870\pi\)
−0.950534 + 0.310620i \(0.899463\pi\)
\(180\) 20.4386 + 1.79913i 1.52340 + 0.134099i
\(181\) 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
\(183\) 8.31834 + 10.5938i 0.614909 + 0.783119i
\(184\) 6.69485 3.86528i 0.493551 0.284952i
\(185\) 13.2481 + 1.46470i 0.974018 + 0.107687i
\(186\) −3.30435 2.47744i −0.242287 0.181655i
\(187\) −9.19559 2.46395i −0.672448 0.180182i
\(188\) −11.4198 + 11.4198i −0.832873 + 0.832873i
\(189\) −0.328660 + 13.7438i −0.0239065 + 0.999714i
\(190\) −8.54189 19.4672i −0.619694 1.41230i
\(191\) −10.0091 + 5.77878i −0.724236 + 0.418138i −0.816310 0.577615i \(-0.803984\pi\)
0.0920740 + 0.995752i \(0.470650\pi\)
\(192\) 3.19799 + 22.3605i 0.230795 + 1.61373i
\(193\) −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
\(195\) 5.23523 + 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 \(0.410658\pi\)
\(198\) 14.5544 26.5604i 1.03433 1.88756i
\(199\) −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
\(201\) −0.401378 0.939236i −0.0283110 0.0662486i
\(202\) −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
\(207\) −9.73831 + 0.217322i −0.676860 + 0.0151049i
\(208\) −0.302500 + 1.12894i −0.0209746 + 0.0782782i
\(209\) −18.9739 −1.31245
\(210\) −21.0612 9.35824i −1.45336 0.645780i
\(211\) −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
\(213\) 1.14480 + 8.00454i 0.0784407 + 0.548462i
\(214\) −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
\(219\) −6.95897 + 2.97388i −0.470244 + 0.200956i
\(220\) 19.1904 + 23.9613i 1.29382 + 1.61547i
\(221\) 2.81639 + 1.62604i 0.189451 + 0.109379i
\(222\) −8.64641 + 21.5512i −0.580309 + 1.44642i
\(223\) 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
\(227\) −14.6779 + 3.93292i −0.974203 + 0.261037i −0.710602 0.703595i \(-0.751577\pi\)
−0.263602 + 0.964632i \(0.584910\pi\)
\(228\) 22.1679 3.17043i 1.46810 0.209967i
\(229\) −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
\(231\) −15.2014 + 13.8573i −1.00018 + 0.911744i
\(232\) −2.84719 + 2.84719i −0.186927 + 0.186927i
\(233\) −8.94940 2.39799i −0.586295 0.157097i −0.0465356 0.998917i \(-0.514818\pi\)
−0.539759 + 0.841819i \(0.681485\pi\)
\(234\) −7.15077 + 7.47722i −0.467461 + 0.488801i
\(235\) −1.29746 + 11.7354i −0.0846372 + 0.765535i
\(236\) −12.4567 + 7.19186i −0.810859 + 0.468150i
\(237\) 9.09777 7.14362i 0.590964 0.464028i
\(238\) −11.3638 5.49044i −0.736609 0.355892i
\(239\) −24.2150 −1.56634 −0.783168 0.621810i \(-0.786398\pi\)
−0.783168 + 0.621810i \(0.786398\pi\)
\(240\) 2.15306 + 2.01972i 0.138979 + 0.130372i
\(241\) 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
\(243\) 11.8188 10.1644i 0.758180 0.652046i
\(244\) 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
\(249\) 16.2679 21.6978i 1.03094 1.37504i
\(250\) 4.82957 + 24.6779i 0.305449 + 1.56077i
\(251\) 21.7383i 1.37211i −0.727551 0.686054i \(-0.759342\pi\)
0.727551 0.686054i \(-0.240658\pi\)
\(252\) 15.4449 18.7301i 0.972936 1.17989i
\(253\) −10.3056 10.3056i −0.647905 0.647905i
\(254\) −9.74225 16.8741i −0.611283 1.05877i
\(255\) 6.97891 4.33220i 0.437036 0.271293i
\(256\) 5.37816 9.31524i 0.336135 0.582202i
\(257\) −0.825796 + 3.08191i −0.0515117 + 0.192244i −0.986887 0.161412i \(-0.948395\pi\)
0.935375 + 0.353657i \(0.115062\pi\)
\(258\) 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
\(261\) 4.87016 1.42214i 0.301455 0.0880284i
\(262\) −10.2068 38.0923i −0.630578 2.35335i
\(263\) 7.08487 + 26.4411i 0.436872 + 1.63043i 0.736547 + 0.676387i \(0.236455\pi\)
−0.299675 + 0.954041i \(0.596878\pi\)
\(264\) −17.0213 + 7.27398i −1.04759 + 0.447682i
\(265\) 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
\(268\) −0.466825 + 1.74221i −0.0285159 + 0.106423i
\(269\) 2.40139 4.15933i 0.146415 0.253599i −0.783485 0.621411i \(-0.786560\pi\)
0.929900 + 0.367812i \(0.119893\pi\)
\(270\) 8.12251 + 24.8382i 0.494320 + 1.51160i
\(271\) −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
\(273\) 6.24114 3.22843i 0.377731 0.195393i
\(274\) 12.1568i 0.734418i
\(275\) 21.9012 + 4.90271i 1.32069 + 0.295644i
\(276\) 13.7624 + 10.3184i 0.828398 + 0.621093i
\(277\) −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 \(0.125294\pi\)
−0.923526 + 0.383537i \(0.874706\pi\)
\(282\) −19.0905 7.65917i −1.13682 0.456097i
\(283\) 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
\(285\) 11.2007 11.9401i 0.663471 0.707273i
\(286\) −15.4801 −0.915355
\(287\) −13.9179 6.72445i −0.821550 0.396932i
\(288\) −16.6046 + 10.0872i −0.978435 + 0.594393i
\(289\) −10.8269 + 6.25090i −0.636875 + 0.367700i
\(290\) −0.934650 + 8.45381i −0.0548845 + 0.496425i
\(291\) −8.23539 + 10.9842i −0.482767 + 0.643903i
\(292\) 12.9084 + 3.45879i 0.755407 + 0.202411i
\(293\) −1.33304 + 1.33304i −0.0778769 + 0.0778769i −0.744972 0.667095i \(-0.767537\pi\)
0.667095 + 0.744972i \(0.267537\pi\)
\(294\) −23.2349 + 14.2742i −1.35509 + 0.832488i
\(295\) −3.82135 + 9.79673i −0.222488 + 0.570387i
\(296\) 12.2907 7.09604i 0.714383 0.412449i
\(297\) 23.2131 + 2.26886i 1.34696 + 0.131653i
\(298\) 24.0841 6.45333i 1.39516 0.373831i
\(299\) 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
\(303\) −21.2668 8.53230i −1.22175 0.490168i
\(304\) 2.79034 + 1.61100i 0.160037 + 0.0923973i
\(305\) −10.8701 13.5725i −0.622423 0.777160i
\(306\) 4.01131 + 13.7368i 0.229311 + 0.785282i
\(307\) 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 0.311173 0.950353i \(-0.399278\pi\)
−0.667444 + 0.744660i \(0.732612\pi\)
\(312\) 6.25959 0.895242i 0.354379 0.0506831i
\(313\) 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
\(315\) 0.253396 17.7464i 0.0142773 0.999898i
\(316\) −20.4263 −1.14907
\(317\) 5.22742 19.5090i 0.293601 1.09573i −0.648721 0.761026i \(-0.724696\pi\)
0.942322 0.334708i \(-0.108638\pi\)
\(318\) −33.3237 + 4.76593i −1.86870 + 0.267260i
\(319\) 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
\(324\) −27.4999 + 1.22800i −1.52777 + 0.0682220i
\(325\) −6.79320 3.55411i −0.376819 0.197147i
\(326\) 13.9121 + 8.03218i 0.770522 + 0.444861i
\(327\) 30.3745 + 12.1863i 1.67971 + 0.673905i
\(328\) −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 0.766703 0.642002i \(-0.221896\pi\)
−0.939342 + 0.342983i \(0.888563\pi\)
\(332\) −46.2570 + 12.3945i −2.53868 + 0.680237i
\(333\) −17.8780 + 0.398969i −0.979709 + 0.0218634i
\(334\) 32.7917 18.9323i 1.79428 1.03593i
\(335\) 0.529830 + 1.20750i 0.0289477 + 0.0659728i
\(336\) 3.41213 0.747191i 0.186147 0.0407626i
\(337\) −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
\(339\) −12.7428 + 16.9960i −0.692092 + 0.923095i
\(340\) −14.4174 1.59398i −0.781893 0.0864458i
\(341\) 4.12112 2.37933i 0.223171 0.128848i
\(342\) 14.8084 + 24.3762i 0.800746 + 1.31811i
\(343\) 18.0716 4.05191i 0.975774 0.218783i
\(344\) −6.74660 −0.363752
\(345\) 12.5688 0.401629i 0.676683 0.0216230i
\(346\) −0.0706711 + 0.122406i −0.00379930 + 0.00658058i
\(347\) 2.64806 0.709546i 0.142155 0.0380904i −0.187040 0.982352i \(-0.559889\pi\)
0.329195 + 0.944262i \(0.393223\pi\)
\(348\) −8.31501 3.33601i −0.445731 0.178829i
\(349\) 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 0.874301 0.485383i \(-0.161320\pi\)
−0.999859 + 0.0167963i \(0.994653\pi\)
\(354\) −14.6578 10.9897i −0.779051 0.584095i
\(355\) −1.57739 10.3191i −0.0837192 0.547681i
\(356\) 10.7467i 0.569572i
\(357\) 0.449073 9.70880i 0.0237674 0.513844i
\(358\) 31.6729 + 31.6729i 1.67396 + 1.67396i
\(359\) 9.46634 + 16.3962i 0.499614 + 0.865357i 1.00000 0.000445509i \(-0.000141810\pi\)
−0.500386 + 0.865803i \(0.666808\pi\)
\(360\) 5.47059 15.0054i 0.288325 0.790854i
\(361\) −0.565929 + 0.980219i −0.0297858 + 0.0515905i
\(362\) 7.61821 28.4315i 0.400404 1.49433i
\(363\) 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
\(366\) 27.8573 11.9047i 1.45612 0.622267i
\(367\) −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
\(369\) 4.91288 + 16.8243i 0.255754 + 0.875837i
\(370\) 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
\(373\) −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
\(375\) −16.0140 + 10.8881i −0.826960 + 0.562261i
\(376\) 6.28582 + 10.8874i 0.324166 + 0.561473i
\(377\) −1.83366 1.83366i −0.0944381 0.0944381i
\(378\) 29.6670 + 8.71452i 1.52590 + 0.448226i
\(379\) 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
\(381\) 9.00108 12.0054i 0.461139 0.615056i
\(382\) 6.72786 + 25.1087i 0.344227 + 1.28467i
\(383\) −32.9294 8.82340i −1.68261 0.450855i −0.714146 0.699997i \(-0.753185\pi\)
−0.968467 + 0.249142i \(0.919851\pi\)
\(384\) 28.1663 + 3.38894i 1.43736 + 0.172941i
\(385\) 19.4517 18.0779i 0.991351 0.921335i
\(386\) 31.6538i 1.61114i
\(387\) 7.45501 + 4.08515i 0.378960 + 0.207660i
\(388\) 23.4169 6.27453i 1.18881 0.318541i
\(389\) 17.0556 29.5411i 0.864751 1.49779i −0.00254324 0.999997i \(-0.500810\pi\)
0.867294 0.497796i \(-0.165857\pi\)
\(390\) 9.13822 9.74151i 0.462732 0.493280i
\(391\) 6.88637 0.348259
\(392\) 16.5566 + 1.90834i 0.836236 + 0.0963858i
\(393\) 23.8861 18.7555i 1.20489 0.946089i
\(394\) 47.8597 27.6318i 2.41114 1.39207i
\(395\) −11.6558 + 9.33506i −0.586467 + 0.469698i
\(396\) −29.7659 28.4664i −1.49579 1.43049i
\(397\) 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
\(399\) −4.14367 18.9225i −0.207443 0.947310i
\(400\) −2.80457 2.58056i −0.140229 0.129028i
\(401\) −15.1489 + 8.74623i −0.756501 + 0.436766i −0.828038 0.560672i \(-0.810543\pi\)
0.0715372 + 0.997438i \(0.477210\pi\)
\(402\) −2.27413 + 0.325245i −0.113423 + 0.0162217i
\(403\) −1.57020 + 0.420734i −0.0782172 + 0.0209582i
\(404\) 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
\(408\) 3.25668 8.11729i 0.161230 0.401866i
\(409\) −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
\(411\) −8.60878 + 3.67892i −0.424640 + 0.181468i
\(412\) 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
\(417\) −1.56412 10.9364i −0.0765951 0.535558i
\(418\) −11.0450 + 41.2205i −0.540229 + 2.01616i
\(419\) 35.0036 1.71004 0.855018 0.518598i \(-0.173546\pi\)
0.855018 + 0.518598i \(0.173546\pi\)
\(420\) −19.7055 + 24.3714i −0.961528 + 1.18920i
\(421\) 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
\(423\) −0.353415 15.8367i −0.0171836 0.770008i
\(424\) 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
\(429\) −4.68462 10.9621i −0.226175 0.529257i
\(430\) −11.1233 + 8.90857i −0.536412 + 0.429609i
\(431\) −13.7352 7.93000i −0.661600 0.381975i 0.131287 0.991344i \(-0.458089\pi\)
−0.792886 + 0.609370i \(0.791423\pi\)
\(432\) −3.22113 2.30461i −0.154977 0.110880i
\(433\) −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
\(437\) 13.2573 3.55227i 0.634181 0.169928i
\(438\) 2.40980 + 16.8495i 0.115145 + 0.805099i
\(439\) −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
\(441\) −17.1396 12.1340i −0.816172 0.577809i
\(442\) 5.17203 5.17203i 0.246009 0.246009i
\(443\) 22.1872 + 5.94505i 1.05415 + 0.282458i 0.743965 0.668219i \(-0.232943\pi\)
0.310183 + 0.950677i \(0.399610\pi\)
\(444\) 25.2656 + 18.9429i 1.19905 + 0.898990i
\(445\) −4.91136 6.13235i −0.232821 0.290701i
\(446\) 41.2866 23.8368i 1.95498 1.12871i
\(447\) 11.8583 + 15.1022i 0.560879 + 0.714308i
\(448\) −31.0677 15.0104i −1.46781 0.709173i
\(449\) −16.0964 −0.759636 −0.379818 0.925061i \(-0.624013\pi\)
−0.379818 + 0.925061i \(0.624013\pi\)
\(450\) −10.7944 31.9634i −0.508855 1.50677i
\(451\) −13.1120 + 22.7107i −0.617421 + 1.06940i
\(452\) 36.2333 9.70868i 1.70427 0.456658i
\(453\) 6.80360 16.9580i 0.319661 0.796756i
\(454\) 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
\(459\) −8.51377 + 6.99767i −0.397389 + 0.326623i
\(460\) −17.8946 13.1492i −0.834341 0.613086i
\(461\) 11.0171i 0.513119i 0.966528 + 0.256560i \(0.0825890\pi\)
−0.966528 + 0.256560i \(0.917411\pi\)
\(462\) 21.2559 + 41.0915i 0.988914 + 1.91175i
\(463\) −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
\(465\) −0.935491 + 3.99797i −0.0433823 + 0.185401i
\(466\) −10.4192 + 18.0466i −0.482661 + 0.835993i
\(467\) −5.25552 + 19.6139i −0.243196 + 0.907621i 0.731085 + 0.682286i \(0.239014\pi\)
−0.974281 + 0.225335i \(0.927652\pi\)
\(468\) 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
\(471\) 2.26830 + 5.30788i 0.104518 + 0.244574i
\(472\) 2.89792 + 10.8152i 0.133388 + 0.497810i
\(473\) 3.29198 + 12.2858i 0.151365 + 0.564903i
\(474\) −10.2235 23.9233i −0.469580 1.09883i
\(475\) −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
\(478\) −14.0960 + 52.6069i −0.644734 + 2.40618i
\(479\) −2.76000 + 4.78046i −0.126108 + 0.218425i −0.922165 0.386796i \(-0.873582\pi\)
0.796058 + 0.605221i \(0.206915\pi\)
\(480\) 21.3100 13.2283i 0.972665 0.603789i
\(481\) 4.57002 + 7.91551i 0.208375 + 0.360916i
\(482\) −16.1055 16.1055i −0.733585 0.733585i
\(483\) 8.02705 12.5283i 0.365243 0.570056i
\(484\) 27.9799i 1.27181i
\(485\) 10.4948 14.2822i 0.476543 0.648522i
\(486\) −15.2021 31.5932i −0.689581 1.43310i
\(487\) 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 \(0.0432414\pi\)
−0.990787 + 0.135429i \(0.956759\pi\)
\(492\) 11.5244 28.7247i 0.519562 1.29501i
\(493\) −3.46461 + 0.928340i −0.156038 + 0.0418103i
\(494\) 7.28897 12.6249i 0.327946 0.568020i
\(495\) −29.9948 2.64033i −1.34817 0.118674i
\(496\) −0.808083 −0.0362840
\(497\) −11.1215 5.37335i −0.498868 0.241028i
\(498\) −37.6684 47.9726i −1.68796 2.14971i
\(499\) 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
\(501\) 23.3304 + 17.4920i 1.04232 + 0.781485i
\(502\) −47.2262 12.6542i −2.10781 0.564786i
\(503\) 20.3830 20.3830i 0.908834 0.908834i −0.0873440 0.996178i \(-0.527838\pi\)
0.996178 + 0.0873440i \(0.0278379\pi\)
\(504\) −10.9715 15.3867i −0.488711 0.685378i
\(505\) 27.5601 + 10.7502i 1.22641 + 0.478379i
\(506\) −28.3878 + 16.3897i −1.26199 + 0.728611i
\(507\) −2.61132 18.2585i −0.115973 0.810890i
\(508\) −25.5941 + 6.85791i −1.13555 + 0.304270i
\(509\) −1.72032 2.97968i −0.0762518 0.132072i 0.825378 0.564580i \(-0.190962\pi\)
−0.901630 + 0.432508i \(0.857629\pi\)
\(510\) −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
\(513\) −12.7806 + 17.8633i −0.564275 + 0.788684i
\(514\) 6.21472 + 3.58807i 0.274120 + 0.158263i
\(515\) 0.865514 7.82848i 0.0381391 0.344964i
\(516\) −5.89904 13.8039i −0.259691 0.607684i
\(517\) 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 0.710396 0.703802i \(-0.248516\pi\)
−0.254312 + 0.967122i \(0.581849\pi\)
\(522\) −0.254588 11.4082i −0.0111430 0.499325i
\(523\) −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
\(525\) −0.106469 + 22.9126i −0.00464668 + 0.999989i
\(526\) 61.5673 2.68446
\(527\) −0.581949 + 2.17186i −0.0253501 + 0.0946079i
\(528\) −0.838997 5.86632i −0.0365127 0.255299i
\(529\) −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
\(534\) 12.5865 5.37878i 0.544671 0.232762i
\(535\) −2.28579 + 20.6747i −0.0988234 + 0.893847i
\(536\) 1.21593 + 0.702016i 0.0525201 + 0.0303225i
\(537\) −12.8441 + 32.0140i −0.554263 + 1.38150i
\(538\) −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 −0.994075 0.108697i \(-0.965332\pi\)
0.402903 0.915243i \(-0.368001\pi\)
\(542\) −14.1313 + 3.78646i −0.606990 + 0.162643i
\(543\) 22.4391 3.20923i 0.962955 0.137721i
\(544\) 11.8951 6.86762i 0.509997 0.294447i
\(545\) −39.3630 15.3541i −1.68612 0.657697i
\(546\) −3.38066 15.4382i −0.144679 0.660692i
\(547\) 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
\(549\) 16.8605 + 16.1244i 0.719588 + 0.688172i
\(550\) 23.4002 44.7263i 0.997787 1.90713i
\(551\) −6.19101 + 3.57438i −0.263746 + 0.152274i
\(552\) 10.5312 8.26914i 0.448237 0.351958i
\(553\) 1.29791 + 17.6215i 0.0551928 + 0.749342i
\(554\) −2.75618 −0.117099
\(555\) 23.0744 0.737328i 0.979453 0.0312978i
\(556\) −9.75441 + 16.8951i −0.413679 + 0.716513i
\(557\) 5.56648 1.49153i 0.235859 0.0631983i −0.138953 0.990299i \(-0.544374\pi\)
0.374812 + 0.927101i \(0.377707\pi\)
\(558\) −6.27317 3.43754i −0.265565 0.145522i
\(559\) 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 \(0.00940177\pi\)
−0.850882 + 0.525358i \(0.823932\pi\)
\(564\) −16.7800 + 22.3808i −0.706566 + 0.942400i
\(565\) 16.2388 22.0991i 0.683169 0.929717i
\(566\) 3.26768i 0.137351i
\(567\) 2.80675 + 23.6458i 0.117872 + 0.993029i
\(568\) −7.85955 7.85955i −0.329779 0.329779i
\(569\) −7.70038 13.3375i −0.322817 0.559135i 0.658251 0.752798i \(-0.271296\pi\)
−0.981068 + 0.193663i \(0.937963\pi\)
\(570\) −19.4197 31.2840i −0.813403 1.31034i
\(571\) 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
\(573\) −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
\(576\) 10.9666 + 37.5552i 0.456940 + 1.56480i
\(577\) 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
\(579\) −22.4155 + 9.57917i −0.931558 + 0.398097i
\(580\) 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
\(583\) 10.0389 37.4657i 0.415769 1.55167i
\(584\) 5.20137 9.00904i 0.215234 0.372797i
\(585\) 9.66384 + 3.52319i 0.399551 + 0.145666i
\(586\) 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 \(0.813316\pi\)
\(588\) 10.5721 + 35.5444i 0.435986 + 1.46583i
\(589\) 4.48135i 0.184651i
\(590\) 19.0588 + 14.0047i 0.784640 + 0.576565i
\(591\) 34.0508 + 25.5296i 1.40066 + 1.05015i
\(592\) 1.17595 + 4.38871i 0.0483312 + 0.180375i
\(593\) 10.1211 + 2.71193i 0.415622 + 0.111366i 0.460569 0.887624i \(-0.347645\pi\)
−0.0449473 + 0.998989i \(0.514312\pi\)
\(594\) 18.4418 49.1095i 0.756677 2.01499i
\(595\) −0.459010 + 12.5390i −0.0188176 + 0.514049i
\(596\) 33.9073i 1.38890i
\(597\) −23.2460 9.32636i −0.951396 0.381703i
\(598\) 10.8161 2.89817i 0.442303 0.118515i
\(599\) 9.01460 15.6137i 0.368327 0.637960i −0.620978 0.783828i \(-0.713264\pi\)
0.989304 + 0.145868i \(0.0465975\pi\)
\(600\) −6.87560 + 19.4390i −0.280695 + 0.793594i
\(601\) −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
\(603\) −0.918525 1.51199i −0.0374052 0.0615730i
\(604\) −27.9431 + 16.1330i −1.13699 + 0.656440i
\(605\) −12.7872 15.9661i −0.519872 0.649115i
\(606\) −30.9161 + 41.2352i −1.25588 + 1.67506i
\(607\) 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
\(609\) −2.34959 + 7.38523i −0.0952100 + 0.299265i
\(610\) −35.8139 + 15.7145i −1.45006 + 0.636262i
\(611\) −7.01172 + 4.04822i −0.283664 + 0.163773i
\(612\) 19.4560 0.434184i 0.786462 0.0175508i
\(613\) 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
\(615\) −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 \(0.615884\pi\)
\(618\) 12.7349 + 5.10929i 0.512274 + 0.205526i
\(619\) 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
\(621\) −16.6441 + 2.76066i −0.667903 + 0.110782i
\(622\) −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
\(627\) −32.5326 + 4.65279i −1.29923 + 0.185815i
\(628\) 2.63816 9.84574i 0.105274 0.392888i
\(629\) 12.6423 0.504081
\(630\) −38.4065 10.8810i −1.53015 0.433510i
\(631\) 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
\(633\) −21.6894 + 3.10201i −0.862078 + 0.123294i
\(634\) −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
\(639\) 3.92577 + 13.4439i 0.155301 + 0.531832i
\(640\) −36.4030 4.02470i −1.43896 0.159090i
\(641\) −28.8032 16.6295i −1.13766 0.656828i −0.191809 0.981432i \(-0.561435\pi\)
−0.945850 + 0.324605i \(0.894769\pi\)
\(642\) −33.6325 13.4935i −1.32737 0.532544i
\(643\) −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
\(647\) 41.4091 11.0955i 1.62796 0.436210i 0.674632 0.738154i \(-0.264302\pi\)
0.953326 + 0.301944i \(0.0976355\pi\)
\(648\) −4.61713 + 20.9247i −0.181378 + 0.822000i
\(649\) 18.2809 10.5545i 0.717587 0.414299i
\(650\) −11.6757 + 12.6893i −0.457959 + 0.497714i
\(651\) 3.27290 + 3.59035i 0.128275 + 0.140717i
\(652\) 15.4474 15.4474i 0.604965 0.604965i
\(653\) 2.13627 + 0.572412i 0.0835988 + 0.0224002i 0.300376 0.953821i \(-0.402888\pi\)
−0.216777 + 0.976221i \(0.569555\pi\)
\(654\) 44.1562 58.8944i 1.72664 2.30296i
\(655\) −30.6022 + 24.5091i −1.19573 + 0.957650i
\(656\) 3.85657 2.22659i 0.150574 0.0869338i
\(657\) −11.2026 + 6.80552i −0.437056 + 0.265509i
\(658\) 25.9836 17.6667i 1.01295 0.688720i
\(659\) 3.05561 0.119030 0.0595149 0.998227i \(-0.481045\pi\)
0.0595149 + 0.998227i \(0.481045\pi\)
\(660\) 38.7798 + 36.3782i 1.50950 + 1.41602i
\(661\) 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
\(663\) 5.22773 + 2.09738i 0.203028 + 0.0814555i
\(664\) 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
\(669\) 29.3742 + 22.0234i 1.13567 + 0.851473i
\(670\) 2.93171 0.448145i 0.113262 0.0173133i
\(671\) 34.9062i 1.34754i
\(672\) 1.37124 29.6457i 0.0528967 1.14361i
\(673\) 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
\(675\) 19.3681 17.3169i 0.745480 0.666528i
\(676\) −16.2852 + 28.2067i −0.626353 + 1.08487i
\(677\) −0.649513 + 2.42401i −0.0249628 + 0.0931624i −0.977283 0.211937i \(-0.932023\pi\)
0.952321 + 0.305099i \(0.0986896\pi\)
\(678\) 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
\(681\) −24.2023 + 10.3427i −0.927433 + 0.396334i
\(682\) −2.77010 10.3382i −0.106073 0.395869i
\(683\) −1.78477 6.66085i −0.0682923 0.254870i 0.923336 0.383992i \(-0.125451\pi\)
−0.991629 + 0.129121i \(0.958784\pi\)
\(684\) 37.2317 10.8721i 1.42359 0.415704i
\(685\) 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
\(688\) 0.559020 2.08629i 0.0213124 0.0795391i
\(689\) −6.62501 + 11.4749i −0.252393 + 0.437157i
\(690\) 6.44400 27.5395i 0.245319 1.04841i
\(691\) 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
\(693\) −22.6663 + 27.4875i −0.861020 + 1.04416i
\(694\) 6.16593i 0.234056i
\(695\) 2.15515 + 14.0987i 0.0817494 + 0.534795i
\(696\) −4.18361 + 5.57999i −0.158579 + 0.211509i
\(697\) −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 \(-0.729872\pi\)
0.661011 0.750377i \(-0.270128\pi\)
\(702\) −10.4272 + 14.5740i −0.393548 + 0.550060i
\(703\) 24.3383 6.52142i 0.917935 0.245960i
\(704\) −29.2687 + 50.6950i −1.10311 + 1.91064i
\(705\) 0.653141 + 20.4398i 0.0245987 + 0.769806i
\(706\) −20.4997 −0.771518
\(707\) 28.9457 19.6807i 1.08861 0.740168i
\(708\) −19.5946 + 15.3858i −0.736412 + 0.578235i
\(709\) −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
\(711\) 13.8473 14.4794i 0.519314 0.543022i
\(712\) −8.08047 2.16516i −0.302828 0.0811426i
\(713\) −2.43402 + 2.43402i −0.0911549 + 0.0911549i
\(714\) −20.8309 6.62727i −0.779576 0.248019i
\(715\) 6.18383 + 14.0932i 0.231262 + 0.527054i
\(716\) 52.7520 30.4564i 1.97144 1.13821i
\(717\) −41.5191 + 5.93803i −1.55056 + 0.221760i
\(718\) 41.1311 11.0210i 1.53500 0.411302i
\(719\) −8.52509 14.7659i −0.317932 0.550675i 0.662124 0.749394i \(-0.269655\pi\)
−0.980056 + 0.198719i \(0.936322\pi\)
\(720\) 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
\(723\) 6.53115 16.2789i 0.242896 0.605420i
\(724\) −34.6652 20.0139i −1.28832 0.743812i
\(725\) 8.06977 2.52614i 0.299704 0.0938184i
\(726\) 32.7701 14.0041i 1.21621 0.519742i
\(727\) 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
\(732\) −5.83265 40.7822i −0.215581 1.50736i
\(733\) −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
\(735\) 22.2770 + 15.4511i 0.821699 + 0.569921i
\(736\) 21.0275 0.775083
\(737\) 0.685093 2.55680i 0.0252357 0.0941810i
\(738\) 39.4105 0.879492i 1.45072 0.0323745i
\(739\) 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 −0.965584 0.260093i \(-0.916247\pi\)
0.260093 + 0.965584i \(0.416247\pi\)
\(744\) 1.71801 + 4.02019i 0.0629852 + 0.147387i
\(745\) −15.4961 19.3485i −0.567732 0.708873i
\(746\) 23.7126 + 13.6905i 0.868182 + 0.501245i
\(747\) 22.5723 41.1923i 0.825878 1.50715i
\(748\) 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 0.970470 0.241220i \(-0.0775476\pi\)
−0.694138 + 0.719842i \(0.744214\pi\)
\(752\) −3.88761 + 1.04168i −0.141766 + 0.0379862i
\(753\) −5.33069 37.2725i −0.194261 1.35829i
\(754\) −5.05101 + 2.91620i −0.183947 + 0.106202i
\(755\) −8.57215 + 21.9763i −0.311973 + 0.799798i
\(756\) 21.8888 35.9021i 0.796089 1.30575i
\(757\) −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
\(759\) −20.1971 15.1428i −0.733108 0.549649i
\(760\) −2.47299 + 22.3680i −0.0897049 + 0.811371i
\(761\) 5.22504 3.01668i 0.189407 0.109354i −0.402298 0.915509i