Properties

Label 96.2.o.a.11.13
Level 96
Weight 2
Character 96.11
Analytic conductor 0.767
Analytic rank 0
Dimension 56
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 96 = 2^{5} \cdot 3 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 96.o (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.766563859404\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{8})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 11.13
Character \(\chi\) = 96.11
Dual form 96.2.o.a.35.13

$q$-expansion

\(f(q)\) \(=\) \(q+(1.12377 - 0.858568i) q^{2} +(1.25135 + 1.19755i) q^{3} +(0.525721 - 1.92967i) q^{4} +(-2.18808 - 0.906333i) q^{5} +(2.43441 + 0.271409i) q^{6} +(-1.93241 + 1.93241i) q^{7} +(-1.06596 - 2.61987i) q^{8} +(0.131733 + 2.99711i) q^{9} +O(q^{10})\) \(q+(1.12377 - 0.858568i) q^{2} +(1.25135 + 1.19755i) q^{3} +(0.525721 - 1.92967i) q^{4} +(-2.18808 - 0.906333i) q^{5} +(2.43441 + 0.271409i) q^{6} +(-1.93241 + 1.93241i) q^{7} +(-1.06596 - 2.61987i) q^{8} +(0.131733 + 2.99711i) q^{9} +(-3.23705 + 0.860107i) q^{10} +(1.42447 + 0.590036i) q^{11} +(2.96874 - 1.78510i) q^{12} +(-0.110405 - 0.266541i) q^{13} +(-0.512479 + 3.83069i) q^{14} +(-1.65266 - 3.75448i) q^{15} +(-3.44724 - 2.02893i) q^{16} -6.17031 q^{17} +(2.72126 + 3.25496i) q^{18} +(7.34269 - 3.04144i) q^{19} +(-2.89924 + 3.74579i) q^{20} +(-4.73227 + 0.103949i) q^{21} +(2.10737 - 0.559943i) q^{22} +(1.85295 - 1.85295i) q^{23} +(1.80355 - 4.55491i) q^{24} +(0.430727 + 0.430727i) q^{25} +(-0.352914 - 0.204741i) q^{26} +(-3.42435 + 3.90817i) q^{27} +(2.71300 + 4.74481i) q^{28} +(2.11574 + 5.10784i) q^{29} +(-5.08069 - 2.80025i) q^{30} +3.42046i q^{31} +(-5.61588 + 0.679633i) q^{32} +(1.07591 + 2.44422i) q^{33} +(-6.93401 + 5.29763i) q^{34} +(5.97967 - 2.47686i) q^{35} +(5.85267 + 1.32144i) q^{36} +(2.52377 - 6.09293i) q^{37} +(5.64022 - 9.72209i) q^{38} +(0.181042 - 0.465751i) q^{39} +(-0.0420633 + 6.69861i) q^{40} +(-0.753641 - 0.753641i) q^{41} +(-5.22874 + 4.17979i) q^{42} +(1.57129 - 3.79343i) q^{43} +(1.88745 - 2.43857i) q^{44} +(2.42813 - 6.67731i) q^{45} +(0.491405 - 3.67317i) q^{46} +1.54798i q^{47} +(-1.88393 - 6.66714i) q^{48} -0.468394i q^{49} +(0.853846 + 0.114230i) q^{50} +(-7.72119 - 7.38927i) q^{51} +(-0.572378 + 0.0729187i) q^{52} +(5.12700 - 12.3777i) q^{53} +(-0.492750 + 7.33193i) q^{54} +(-2.58210 - 2.58210i) q^{55} +(7.12253 + 3.00278i) q^{56} +(12.8305 + 4.98737i) q^{57} +(6.76303 + 3.92353i) q^{58} +(-3.08775 + 7.45449i) q^{59} +(-8.11374 + 1.21529i) q^{60} +(-4.28571 + 1.77520i) q^{61} +(2.93670 + 3.84381i) q^{62} +(-6.04619 - 5.53707i) q^{63} +(-5.72745 + 5.58537i) q^{64} +0.683277i q^{65} +(3.30761 + 1.82300i) q^{66} +(-0.531731 - 1.28371i) q^{67} +(-3.24386 + 11.9066i) q^{68} +(4.53768 - 0.0996750i) q^{69} +(4.59322 - 7.91738i) q^{70} +(8.72539 + 8.72539i) q^{71} +(7.71161 - 3.53993i) q^{72} +(-2.73022 + 2.73022i) q^{73} +(-2.39505 - 9.01389i) q^{74} +(0.0231699 + 1.05481i) q^{75} +(-2.00877 - 15.7679i) q^{76} +(-3.89285 + 1.61247i) q^{77} +(-0.196429 - 0.678834i) q^{78} -2.76080 q^{79} +(5.70394 + 7.56381i) q^{80} +(-8.96529 + 0.789635i) q^{81} +(-1.49397 - 0.199867i) q^{82} +(2.53133 + 6.11116i) q^{83} +(-2.28726 + 9.18636i) q^{84} +(13.5011 + 5.59235i) q^{85} +(-1.49115 - 5.61200i) q^{86} +(-3.46939 + 8.92538i) q^{87} +(0.0273838 - 4.36089i) q^{88} +(4.14369 - 4.14369i) q^{89} +(-3.00426 - 9.58848i) q^{90} +(0.728413 + 0.301719i) q^{91} +(-2.60144 - 4.54970i) q^{92} +(-4.09618 + 4.28017i) q^{93} +(1.32905 + 1.73957i) q^{94} -18.8230 q^{95} +(-7.84130 - 5.87486i) q^{96} -10.3656 q^{97} +(-0.402149 - 0.526368i) q^{98} +(-1.58075 + 4.34703i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 4q^{3} - 8q^{4} - 4q^{6} - 8q^{7} - 4q^{9} + O(q^{10}) \) \( 56q - 4q^{3} - 8q^{4} - 4q^{6} - 8q^{7} - 4q^{9} - 16q^{10} - 4q^{12} - 8q^{13} - 8q^{15} - 40q^{16} - 4q^{18} - 8q^{19} - 4q^{21} - 24q^{22} + 16q^{24} - 8q^{25} - 28q^{27} - 8q^{28} + 44q^{30} - 8q^{33} - 24q^{34} + 48q^{36} - 8q^{37} - 28q^{39} + 24q^{40} + 56q^{42} - 8q^{43} - 4q^{45} + 24q^{46} + 48q^{48} - 16q^{51} + 48q^{52} + 40q^{54} + 24q^{55} - 4q^{57} + 96q^{58} + 8q^{60} - 40q^{61} + 40q^{64} - 28q^{66} + 56q^{67} - 4q^{69} + 40q^{70} - 64q^{72} - 8q^{73} + 16q^{75} + 48q^{76} - 92q^{78} + 16q^{79} - 48q^{82} - 136q^{84} - 48q^{85} + 52q^{87} - 48q^{88} - 136q^{90} + 40q^{91} + 8q^{93} - 64q^{94} - 104q^{96} - 16q^{97} + 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/96\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(37\) \(65\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{8}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.12377 0.858568i 0.794626 0.607100i
\(3\) 1.25135 + 1.19755i 0.722465 + 0.691408i
\(4\) 0.525721 1.92967i 0.262860 0.964834i
\(5\) −2.18808 0.906333i −0.978540 0.405324i −0.164655 0.986351i \(-0.552651\pi\)
−0.813884 + 0.581027i \(0.802651\pi\)
\(6\) 2.43441 + 0.271409i 0.993842 + 0.110802i
\(7\) −1.93241 + 1.93241i −0.730381 + 0.730381i −0.970695 0.240314i \(-0.922750\pi\)
0.240314 + 0.970695i \(0.422750\pi\)
\(8\) −1.06596 2.61987i −0.376875 0.926264i
\(9\) 0.131733 + 2.99711i 0.0439110 + 0.999035i
\(10\) −3.23705 + 0.860107i −1.02365 + 0.271990i
\(11\) 1.42447 + 0.590036i 0.429495 + 0.177903i 0.586949 0.809624i \(-0.300329\pi\)
−0.157454 + 0.987526i \(0.550329\pi\)
\(12\) 2.96874 1.78510i 0.857001 0.515315i
\(13\) −0.110405 0.266541i −0.0306208 0.0739252i 0.907829 0.419340i \(-0.137738\pi\)
−0.938450 + 0.345414i \(0.887738\pi\)
\(14\) −0.512479 + 3.83069i −0.136966 + 1.02379i
\(15\) −1.65266 3.75448i −0.426716 0.969402i
\(16\) −3.44724 2.02893i −0.861809 0.507233i
\(17\) −6.17031 −1.49652 −0.748260 0.663406i \(-0.769110\pi\)
−0.748260 + 0.663406i \(0.769110\pi\)
\(18\) 2.72126 + 3.25496i 0.641407 + 0.767201i
\(19\) 7.34269 3.04144i 1.68453 0.697755i 0.685004 0.728540i \(-0.259801\pi\)
0.999526 + 0.0307845i \(0.00980057\pi\)
\(20\) −2.89924 + 3.74579i −0.648290 + 0.837585i
\(21\) −4.73227 + 0.103949i −1.03267 + 0.0226836i
\(22\) 2.10737 0.559943i 0.449292 0.119380i
\(23\) 1.85295 1.85295i 0.386366 0.386366i −0.487023 0.873389i \(-0.661917\pi\)
0.873389 + 0.487023i \(0.161917\pi\)
\(24\) 1.80355 4.55491i 0.368148 0.929767i
\(25\) 0.430727 + 0.430727i 0.0861453 + 0.0861453i
\(26\) −0.352914 0.204741i −0.0692121 0.0401530i
\(27\) −3.42435 + 3.90817i −0.659017 + 0.752128i
\(28\) 2.71300 + 4.74481i 0.512708 + 0.896685i
\(29\) 2.11574 + 5.10784i 0.392882 + 0.948501i 0.989309 + 0.145834i \(0.0465866\pi\)
−0.596427 + 0.802667i \(0.703413\pi\)
\(30\) −5.08069 2.80025i −0.927603 0.511253i
\(31\) 3.42046i 0.614332i 0.951656 + 0.307166i \(0.0993807\pi\)
−0.951656 + 0.307166i \(0.900619\pi\)
\(32\) −5.61588 + 0.679633i −0.992757 + 0.120143i
\(33\) 1.07591 + 2.44422i 0.187292 + 0.425485i
\(34\) −6.93401 + 5.29763i −1.18917 + 0.908536i
\(35\) 5.97967 2.47686i 1.01075 0.418666i
\(36\) 5.85267 + 1.32144i 0.975446 + 0.220240i
\(37\) 2.52377 6.09293i 0.414906 1.00167i −0.568895 0.822410i \(-0.692629\pi\)
0.983801 0.179262i \(-0.0573709\pi\)
\(38\) 5.64022 9.72209i 0.914964 1.57713i
\(39\) 0.181042 0.465751i 0.0289900 0.0745798i
\(40\) −0.0420633 + 6.69861i −0.00665079 + 1.05914i
\(41\) −0.753641 0.753641i −0.117699 0.117699i 0.645804 0.763503i \(-0.276522\pi\)
−0.763503 + 0.645804i \(0.776522\pi\)
\(42\) −5.22874 + 4.17979i −0.806812 + 0.644956i
\(43\) 1.57129 3.79343i 0.239619 0.578492i −0.757624 0.652691i \(-0.773640\pi\)
0.997243 + 0.0741989i \(0.0236400\pi\)
\(44\) 1.88745 2.43857i 0.284544 0.367628i
\(45\) 2.42813 6.67731i 0.361965 0.995394i
\(46\) 0.491405 3.67317i 0.0724538 0.541579i
\(47\) 1.54798i 0.225796i 0.993607 + 0.112898i \(0.0360133\pi\)
−0.993607 + 0.112898i \(0.963987\pi\)
\(48\) −1.88393 6.66714i −0.271922 0.962319i
\(49\) 0.468394i 0.0669135i
\(50\) 0.853846 + 0.114230i 0.120752 + 0.0161545i
\(51\) −7.72119 7.38927i −1.08118 1.03471i
\(52\) −0.572378 + 0.0729187i −0.0793745 + 0.0101120i
\(53\) 5.12700 12.3777i 0.704248 1.70020i −0.00964932 0.999953i \(-0.503072\pi\)
0.713897 0.700251i \(-0.246928\pi\)
\(54\) −0.492750 + 7.33193i −0.0670548 + 0.997749i
\(55\) −2.58210 2.58210i −0.348170 0.348170i
\(56\) 7.12253 + 3.00278i 0.951788 + 0.401264i
\(57\) 12.8305 + 4.98737i 1.69945 + 0.660593i
\(58\) 6.76303 + 3.92353i 0.888029 + 0.515185i
\(59\) −3.08775 + 7.45449i −0.401991 + 0.970492i 0.585191 + 0.810895i \(0.301019\pi\)
−0.987182 + 0.159597i \(0.948981\pi\)
\(60\) −8.11374 + 1.21529i −1.04748 + 0.156893i
\(61\) −4.28571 + 1.77520i −0.548728 + 0.227291i −0.639784 0.768555i \(-0.720976\pi\)
0.0910552 + 0.995846i \(0.470976\pi\)
\(62\) 2.93670 + 3.84381i 0.372961 + 0.488164i
\(63\) −6.04619 5.53707i −0.761748 0.697605i
\(64\) −5.72745 + 5.58537i −0.715931 + 0.698171i
\(65\) 0.683277i 0.0847501i
\(66\) 3.30761 + 1.82300i 0.407138 + 0.224396i
\(67\) −0.531731 1.28371i −0.0649613 0.156831i 0.888065 0.459718i \(-0.152049\pi\)
−0.953026 + 0.302887i \(0.902049\pi\)
\(68\) −3.24386 + 11.9066i −0.393376 + 1.44389i
\(69\) 4.53768 0.0996750i 0.546272 0.0119995i
\(70\) 4.59322 7.91738i 0.548995 0.946307i
\(71\) 8.72539 + 8.72539i 1.03551 + 1.03551i 0.999346 + 0.0361678i \(0.0115151\pi\)
0.0361678 + 0.999346i \(0.488485\pi\)
\(72\) 7.71161 3.53993i 0.908822 0.417184i
\(73\) −2.73022 + 2.73022i −0.319548 + 0.319548i −0.848593 0.529046i \(-0.822550\pi\)
0.529046 + 0.848593i \(0.322550\pi\)
\(74\) −2.39505 9.01389i −0.278419 1.04784i
\(75\) 0.0231699 + 1.05481i 0.00267543 + 0.121799i
\(76\) −2.00877 15.7679i −0.230422 1.80870i
\(77\) −3.89285 + 1.61247i −0.443632 + 0.183758i
\(78\) −0.196429 0.678834i −0.0222412 0.0768629i
\(79\) −2.76080 −0.310614 −0.155307 0.987866i \(-0.549637\pi\)
−0.155307 + 0.987866i \(0.549637\pi\)
\(80\) 5.70394 + 7.56381i 0.637720 + 0.845660i
\(81\) −8.96529 + 0.789635i −0.996144 + 0.0877372i
\(82\) −1.49397 0.199867i −0.164982 0.0220716i
\(83\) 2.53133 + 6.11116i 0.277849 + 0.670787i 0.999776 0.0211827i \(-0.00674318\pi\)
−0.721927 + 0.691970i \(0.756743\pi\)
\(84\) −2.28726 + 9.18636i −0.249561 + 1.00231i
\(85\) 13.5011 + 5.59235i 1.46440 + 0.606576i
\(86\) −1.49115 5.61200i −0.160795 0.605158i
\(87\) −3.46939 + 8.92538i −0.371958 + 0.956901i
\(88\) 0.0273838 4.36089i 0.00291913 0.464873i
\(89\) 4.14369 4.14369i 0.439230 0.439230i −0.452523 0.891753i \(-0.649476\pi\)
0.891753 + 0.452523i \(0.149476\pi\)
\(90\) −3.00426 9.58848i −0.316677 1.01071i
\(91\) 0.728413 + 0.301719i 0.0763585 + 0.0316287i
\(92\) −2.60144 4.54970i −0.271219 0.474339i
\(93\) −4.09618 + 4.28017i −0.424754 + 0.443833i
\(94\) 1.32905 + 1.73957i 0.137081 + 0.179423i
\(95\) −18.8230 −1.93120
\(96\) −7.84130 5.87486i −0.800300 0.599600i
\(97\) −10.3656 −1.05246 −0.526232 0.850341i \(-0.676396\pi\)
−0.526232 + 0.850341i \(0.676396\pi\)
\(98\) −0.402149 0.526368i −0.0406231 0.0531712i
\(99\) −1.58075 + 4.34703i −0.158872 + 0.436893i
\(100\) 1.05760 0.604717i 0.105760 0.0604717i
\(101\) −10.5700 4.37825i −1.05176 0.435652i −0.211238 0.977435i \(-0.567750\pi\)
−0.840519 + 0.541783i \(0.817750\pi\)
\(102\) −15.0210 1.67468i −1.48730 0.165818i
\(103\) −10.4823 + 10.4823i −1.03285 + 1.03285i −0.0334101 + 0.999442i \(0.510637\pi\)
−0.999442 + 0.0334101i \(0.989363\pi\)
\(104\) −0.580616 + 0.573370i −0.0569341 + 0.0562235i
\(105\) 10.4488 + 4.06156i 1.01970 + 0.396368i
\(106\) −4.86551 18.3115i −0.472580 1.77857i
\(107\) −9.39578 3.89186i −0.908325 0.376240i −0.120910 0.992664i \(-0.538581\pi\)
−0.787415 + 0.616423i \(0.788581\pi\)
\(108\) 5.74122 + 8.66247i 0.552450 + 0.833546i
\(109\) 3.00588 + 7.25683i 0.287911 + 0.695078i 0.999975 0.00703600i \(-0.00223965\pi\)
−0.712064 + 0.702114i \(0.752240\pi\)
\(110\) −5.11859 0.684777i −0.488038 0.0652910i
\(111\) 10.4547 4.60201i 0.992318 0.436803i
\(112\) 10.5822 2.74074i 0.999923 0.258975i
\(113\) 13.6372 1.28288 0.641438 0.767175i \(-0.278338\pi\)
0.641438 + 0.767175i \(0.278338\pi\)
\(114\) 18.7006 5.41124i 1.75147 0.506809i
\(115\) −5.73378 + 2.37501i −0.534678 + 0.221471i
\(116\) 10.9687 1.39737i 1.01842 0.129743i
\(117\) 0.784308 0.366008i 0.0725093 0.0338374i
\(118\) 2.93027 + 11.0282i 0.269753 + 1.01523i
\(119\) 11.9235 11.9235i 1.09303 1.09303i
\(120\) −8.07457 + 8.33190i −0.737104 + 0.760595i
\(121\) −6.09719 6.09719i −0.554290 0.554290i
\(122\) −3.29202 + 5.67449i −0.298046 + 0.513744i
\(123\) −0.0405404 1.84559i −0.00365540 0.166411i
\(124\) 6.60035 + 1.79821i 0.592729 + 0.161484i
\(125\) 3.97958 + 9.60756i 0.355945 + 0.859326i
\(126\) −11.5485 1.03133i −1.02882 0.0918778i
\(127\) 7.75395i 0.688052i −0.938960 0.344026i \(-0.888209\pi\)
0.938960 0.344026i \(-0.111791\pi\)
\(128\) −1.64092 + 11.1941i −0.145038 + 0.989426i
\(129\) 6.50906 2.86519i 0.573090 0.252266i
\(130\) 0.586640 + 0.767847i 0.0514518 + 0.0673446i
\(131\) −1.16782 + 0.483728i −0.102033 + 0.0422635i −0.433116 0.901338i \(-0.642586\pi\)
0.331083 + 0.943602i \(0.392586\pi\)
\(132\) 5.28217 0.791169i 0.459753 0.0688625i
\(133\) −8.31177 + 20.0664i −0.720722 + 1.73998i
\(134\) −1.69970 0.986071i −0.146832 0.0851836i
\(135\) 11.0349 5.44780i 0.949730 0.468872i
\(136\) 6.57732 + 16.1654i 0.564000 + 1.38617i
\(137\) −7.54494 7.54494i −0.644608 0.644608i 0.307077 0.951685i \(-0.400649\pi\)
−0.951685 + 0.307077i \(0.900649\pi\)
\(138\) 5.01373 4.00792i 0.426797 0.341177i
\(139\) 0.412435 0.995705i 0.0349822 0.0844546i −0.905423 0.424511i \(-0.860446\pi\)
0.940405 + 0.340056i \(0.110446\pi\)
\(140\) −1.63588 12.8409i −0.138257 1.08525i
\(141\) −1.85379 + 1.93706i −0.156117 + 0.163130i
\(142\) 17.2967 + 2.31399i 1.45151 + 0.194186i
\(143\) 0.444824i 0.0371980i
\(144\) 5.62681 10.5990i 0.468901 0.883251i
\(145\) 13.0939i 1.08739i
\(146\) −0.724059 + 5.41221i −0.0599236 + 0.447918i
\(147\) 0.560927 0.586123i 0.0462645 0.0483426i
\(148\) −10.4305 8.07323i −0.857384 0.663615i
\(149\) −0.458938 + 1.10798i −0.0375977 + 0.0907689i −0.941563 0.336837i \(-0.890643\pi\)
0.903965 + 0.427606i \(0.140643\pi\)
\(150\) 0.931661 + 1.16547i 0.0760698 + 0.0951600i
\(151\) 9.80869 + 9.80869i 0.798220 + 0.798220i 0.982815 0.184595i \(-0.0590974\pi\)
−0.184595 + 0.982815i \(0.559097\pi\)
\(152\) −15.7952 15.9948i −1.28116 1.29735i
\(153\) −0.812833 18.4931i −0.0657136 1.49508i
\(154\) −2.99026 + 5.15433i −0.240962 + 0.415348i
\(155\) 3.10007 7.48424i 0.249004 0.601148i
\(156\) −0.803567 0.594207i −0.0643368 0.0475746i
\(157\) 8.28207 3.43055i 0.660981 0.273787i −0.0268702 0.999639i \(-0.508554\pi\)
0.687851 + 0.725852i \(0.258554\pi\)
\(158\) −3.10250 + 2.37033i −0.246822 + 0.188574i
\(159\) 21.2386 9.34890i 1.68433 0.741416i
\(160\) 12.9040 + 3.60276i 1.02015 + 0.284824i
\(161\) 7.16129i 0.564389i
\(162\) −9.39698 + 8.58469i −0.738296 + 0.674477i
\(163\) −1.15049 2.77752i −0.0901131 0.217552i 0.872397 0.488798i \(-0.162564\pi\)
−0.962510 + 0.271246i \(0.912564\pi\)
\(164\) −1.85048 + 1.05807i −0.144498 + 0.0826215i
\(165\) −0.138898 6.32329i −0.0108132 0.492267i
\(166\) 8.09148 + 4.69423i 0.628020 + 0.364343i
\(167\) −1.86833 1.86833i −0.144576 0.144576i 0.631114 0.775690i \(-0.282598\pi\)
−0.775690 + 0.631114i \(0.782598\pi\)
\(168\) 5.31676 + 12.2871i 0.410197 + 0.947973i
\(169\) 9.13353 9.13353i 0.702579 0.702579i
\(170\) 19.9736 5.30713i 1.53191 0.407038i
\(171\) 10.0828 + 21.6062i 0.771051 + 1.65227i
\(172\) −6.49399 5.02635i −0.495162 0.383255i
\(173\) −9.59196 + 3.97312i −0.729263 + 0.302071i −0.716249 0.697845i \(-0.754143\pi\)
−0.0130138 + 0.999915i \(0.504143\pi\)
\(174\) 3.76425 + 13.0088i 0.285367 + 0.986193i
\(175\) −1.66468 −0.125838
\(176\) −3.71335 4.92416i −0.279904 0.371172i
\(177\) −12.7910 + 5.63040i −0.961430 + 0.423207i
\(178\) 1.09892 8.21420i 0.0823672 0.615680i
\(179\) 0.00532113 + 0.0128464i 0.000397720 + 0.000960181i 0.924078 0.382203i \(-0.124835\pi\)
−0.923681 + 0.383163i \(0.874835\pi\)
\(180\) −11.6085 8.19589i −0.865244 0.610886i
\(181\) −9.45181 3.91507i −0.702547 0.291005i 0.00266940 0.999996i \(-0.499150\pi\)
−0.705217 + 0.708992i \(0.749150\pi\)
\(182\) 1.07762 0.286330i 0.0798782 0.0212242i
\(183\) −7.48879 2.91097i −0.553588 0.215185i
\(184\) −6.82965 2.87931i −0.503489 0.212266i
\(185\) −11.0444 + 11.0444i −0.812004 + 0.812004i
\(186\) −0.928343 + 8.32678i −0.0680694 + 0.610549i
\(187\) −8.78944 3.64071i −0.642748 0.266235i
\(188\) 2.98709 + 0.813805i 0.217856 + 0.0593528i
\(189\) −0.934943 14.1694i −0.0680071 1.03067i
\(190\) −21.1527 + 16.1608i −1.53458 + 1.17243i
\(191\) 7.77941 0.562898 0.281449 0.959576i \(-0.409185\pi\)
0.281449 + 0.959576i \(0.409185\pi\)
\(192\) −13.8558 + 0.130302i −0.999956 + 0.00940375i
\(193\) −6.23528 −0.448825 −0.224413 0.974494i \(-0.572046\pi\)
−0.224413 + 0.974494i \(0.572046\pi\)
\(194\) −11.6485 + 8.89956i −0.836316 + 0.638951i
\(195\) −0.818261 + 0.855016i −0.0585969 + 0.0612290i
\(196\) −0.903846 0.246245i −0.0645604 0.0175889i
\(197\) 6.90773 + 2.86128i 0.492156 + 0.203858i 0.614937 0.788576i \(-0.289181\pi\)
−0.122781 + 0.992434i \(0.539181\pi\)
\(198\) 1.95582 + 6.24224i 0.138994 + 0.443617i
\(199\) 12.4517 12.4517i 0.882681 0.882681i −0.111125 0.993806i \(-0.535445\pi\)
0.993806 + 0.111125i \(0.0354455\pi\)
\(200\) 0.669310 1.58759i 0.0473274 0.112259i
\(201\) 0.871935 2.24315i 0.0615015 0.158219i
\(202\) −15.6373 + 4.15494i −1.10024 + 0.292341i
\(203\) −13.9589 5.78196i −0.979721 0.405814i
\(204\) −18.3180 + 11.0146i −1.28252 + 0.771179i
\(205\) 0.965978 + 2.33208i 0.0674668 + 0.162879i
\(206\) −2.77993 + 20.7795i −0.193687 + 1.44777i
\(207\) 5.79757 + 5.30938i 0.402959 + 0.369028i
\(208\) −0.160202 + 1.14283i −0.0111080 + 0.0792413i
\(209\) 12.2540 0.847630
\(210\) 15.2292 4.40675i 1.05091 0.304095i
\(211\) −1.16851 + 0.484011i −0.0804432 + 0.0333207i −0.422542 0.906343i \(-0.638862\pi\)
0.342099 + 0.939664i \(0.388862\pi\)
\(212\) −21.1894 16.4006i −1.45530 1.12640i
\(213\) 0.469362 + 21.3676i 0.0321602 + 1.46408i
\(214\) −13.9001 + 3.69336i −0.950194 + 0.252473i
\(215\) −6.87622 + 6.87622i −0.468954 + 0.468954i
\(216\) 13.8891 + 4.80539i 0.945036 + 0.326965i
\(217\) −6.60972 6.60972i −0.448697 0.448697i
\(218\) 9.60840 + 5.57426i 0.650763 + 0.377536i
\(219\) −6.68602 + 0.146866i −0.451800 + 0.00992426i
\(220\) −6.34005 + 3.62512i −0.427446 + 0.244406i
\(221\) 0.681233 + 1.64464i 0.0458247 + 0.110631i
\(222\) 7.79757 14.1477i 0.523339 0.949531i
\(223\) 10.5047i 0.703449i 0.936104 + 0.351724i \(0.114405\pi\)
−0.936104 + 0.351724i \(0.885595\pi\)
\(224\) 9.53884 12.1655i 0.637340 0.812841i
\(225\) −1.23419 + 1.34767i −0.0822795 + 0.0898450i
\(226\) 15.3250 11.7084i 1.01941 0.778833i
\(227\) 16.7869 6.95334i 1.11418 0.461509i 0.251806 0.967778i \(-0.418975\pi\)
0.862376 + 0.506268i \(0.168975\pi\)
\(228\) 16.3692 22.1367i 1.08408 1.46604i
\(229\) 5.87646 14.1870i 0.388327 0.937505i −0.601967 0.798521i \(-0.705616\pi\)
0.990295 0.138984i \(-0.0443838\pi\)
\(230\) −4.40435 + 7.59181i −0.290414 + 0.500589i
\(231\) −6.80233 2.64414i −0.447560 0.173972i
\(232\) 11.1266 10.9877i 0.730496 0.721379i
\(233\) 2.54073 + 2.54073i 0.166449 + 0.166449i 0.785416 0.618968i \(-0.212449\pi\)
−0.618968 + 0.785416i \(0.712449\pi\)
\(234\) 0.567140 1.08469i 0.0370751 0.0709085i
\(235\) 1.40298 3.38711i 0.0915206 0.220950i
\(236\) 12.7614 + 9.87732i 0.830696 + 0.642959i
\(237\) −3.45471 3.30620i −0.224408 0.214761i
\(238\) 3.16215 23.6365i 0.204972 1.53213i
\(239\) 17.6107i 1.13914i 0.821943 + 0.569570i \(0.192890\pi\)
−0.821943 + 0.569570i \(0.807110\pi\)
\(240\) −1.92046 + 16.2957i −0.123965 + 1.05188i
\(241\) 6.18628i 0.398493i −0.979949 0.199247i \(-0.936151\pi\)
0.979949 0.199247i \(-0.0638495\pi\)
\(242\) −12.0867 1.61699i −0.776963 0.103944i
\(243\) −12.1643 9.74831i −0.780341 0.625354i
\(244\) 1.17246 + 9.20325i 0.0750589 + 0.589177i
\(245\) −0.424521 + 1.02489i −0.0271217 + 0.0654775i
\(246\) −1.63012 2.03921i −0.103933 0.130015i
\(247\) −1.62134 1.62134i −0.103163 0.103163i
\(248\) 8.96116 3.64608i 0.569034 0.231526i
\(249\) −4.15088 + 10.6786i −0.263051 + 0.676727i
\(250\) 12.7209 + 7.37995i 0.804539 + 0.466749i
\(251\) 9.18840 22.1828i 0.579967 1.40016i −0.312876 0.949794i \(-0.601292\pi\)
0.892842 0.450369i \(-0.148708\pi\)
\(252\) −13.8633 + 8.75619i −0.873306 + 0.551588i
\(253\) 3.73278 1.54617i 0.234678 0.0972067i
\(254\) −6.65729 8.71366i −0.417716 0.546744i
\(255\) 10.1975 + 23.1663i 0.638589 + 1.45073i
\(256\) 7.76687 + 13.9884i 0.485429 + 0.874276i
\(257\) 11.8836i 0.741276i −0.928777 0.370638i \(-0.879139\pi\)
0.928777 0.370638i \(-0.120861\pi\)
\(258\) 4.85473 8.80828i 0.302242 0.548380i
\(259\) 6.89706 + 16.6510i 0.428563 + 1.03464i
\(260\) 1.31850 + 0.359213i 0.0817698 + 0.0222774i
\(261\) −15.0300 + 7.01395i −0.930335 + 0.434153i
\(262\) −0.897051 + 1.54626i −0.0554200 + 0.0955280i
\(263\) −11.6191 11.6191i −0.716464 0.716464i 0.251415 0.967879i \(-0.419104\pi\)
−0.967879 + 0.251415i \(0.919104\pi\)
\(264\) 5.25667 5.42419i 0.323526 0.333836i
\(265\) −22.4366 + 22.4366i −1.37827 + 1.37827i
\(266\) 7.88784 + 29.6862i 0.483635 + 1.82018i
\(267\) 10.1475 0.222900i 0.621015 0.0136413i
\(268\) −2.75668 + 0.351190i −0.168391 + 0.0214524i
\(269\) 13.7480 5.69459i 0.838228 0.347205i 0.0780733 0.996948i \(-0.475123\pi\)
0.760155 + 0.649742i \(0.225123\pi\)
\(270\) 7.72335 15.5963i 0.470028 0.949158i
\(271\) 7.07297 0.429652 0.214826 0.976652i \(-0.431081\pi\)
0.214826 + 0.976652i \(0.431081\pi\)
\(272\) 21.2705 + 12.5191i 1.28971 + 0.759084i
\(273\) 0.550173 + 1.24987i 0.0332980 + 0.0756455i
\(274\) −14.9566 2.00093i −0.903563 0.120881i
\(275\) 0.359414 + 0.867703i 0.0216735 + 0.0523245i
\(276\) 2.19321 8.80861i 0.132016 0.530216i
\(277\) −1.13397 0.469705i −0.0681335 0.0282218i 0.348356 0.937362i \(-0.386740\pi\)
−0.416490 + 0.909140i \(0.636740\pi\)
\(278\) −0.391399 1.47305i −0.0234746 0.0883475i
\(279\) −10.2515 + 0.450587i −0.613740 + 0.0269759i
\(280\) −12.8632 13.0257i −0.768720 0.778436i
\(281\) −12.0212 + 12.0212i −0.717122 + 0.717122i −0.968015 0.250893i \(-0.919276\pi\)
0.250893 + 0.968015i \(0.419276\pi\)
\(282\) −0.420136 + 3.76841i −0.0250187 + 0.224406i
\(283\) 12.8158 + 5.30848i 0.761821 + 0.315557i 0.729555 0.683923i \(-0.239727\pi\)
0.0322666 + 0.999479i \(0.489727\pi\)
\(284\) 21.4242 12.2500i 1.27129 0.726903i
\(285\) −23.5541 22.5415i −1.39522 1.33524i
\(286\) −0.381912 0.499880i −0.0225829 0.0295585i
\(287\) 2.91268 0.171930
\(288\) −2.77673 16.7419i −0.163620 0.986523i
\(289\) 21.0727 1.23957
\(290\) −11.2420 14.7146i −0.660155 0.864069i
\(291\) −12.9709 12.4133i −0.760369 0.727682i
\(292\) 3.83308 + 6.70374i 0.224314 + 0.392307i
\(293\) 24.7412 + 10.2481i 1.44539 + 0.598702i 0.961099 0.276203i \(-0.0890763\pi\)
0.484295 + 0.874905i \(0.339076\pi\)
\(294\) 0.127126 1.14026i 0.00741417 0.0665015i
\(295\) 13.5125 13.5125i 0.786729 0.786729i
\(296\) −18.6529 0.117129i −1.08418 0.00680801i
\(297\) −7.18386 + 3.54660i −0.416850 + 0.205795i
\(298\) 0.435531 + 1.63914i 0.0252296 + 0.0949529i
\(299\) −0.698461 0.289312i −0.0403930 0.0167313i
\(300\) 2.04761 + 0.509823i 0.118219 + 0.0294346i
\(301\) 4.29408 + 10.3668i 0.247506 + 0.597533i
\(302\) 19.4441 + 2.60129i 1.11888 + 0.149687i
\(303\) −7.98357 18.1369i −0.458644 1.04194i
\(304\) −31.4829 4.41326i −1.80567 0.253118i
\(305\) 10.9864 0.629079
\(306\) −16.7910 20.0841i −0.959878 1.14813i
\(307\) −0.664375 + 0.275193i −0.0379179 + 0.0157061i −0.401562 0.915832i \(-0.631532\pi\)
0.363644 + 0.931538i \(0.381532\pi\)
\(308\) 1.06498 + 8.35962i 0.0606830 + 0.476334i
\(309\) −25.6701 + 0.563871i −1.46032 + 0.0320775i
\(310\) −2.94196 11.0722i −0.167092 0.628858i
\(311\) 3.60638 3.60638i 0.204499 0.204499i −0.597425 0.801924i \(-0.703810\pi\)
0.801924 + 0.597425i \(0.203810\pi\)
\(312\) −1.41319 + 0.0221652i −0.0800062 + 0.00125486i
\(313\) 23.2233 + 23.2233i 1.31266 + 1.31266i 0.919449 + 0.393210i \(0.128635\pi\)
0.393210 + 0.919449i \(0.371365\pi\)
\(314\) 6.36179 10.9659i 0.359017 0.618840i
\(315\) 8.21113 + 17.5954i 0.462645 + 0.991389i
\(316\) −1.45141 + 5.32742i −0.0816481 + 0.299691i
\(317\) 1.42053 + 3.42947i 0.0797850 + 0.192618i 0.958738 0.284289i \(-0.0917577\pi\)
−0.878954 + 0.476907i \(0.841758\pi\)
\(318\) 15.8406 28.7408i 0.888298 1.61170i
\(319\) 8.52434i 0.477271i
\(320\) 17.5943 7.03026i 0.983553 0.393004i
\(321\) −7.09666 16.1220i −0.396097 0.899843i
\(322\) 6.14846 + 8.04765i 0.342640 + 0.448478i
\(323\) −45.3067 + 18.7666i −2.52093 + 1.04420i
\(324\) −3.18951 + 17.7152i −0.177195 + 0.984176i
\(325\) 0.0672520 0.162361i 0.00373047 0.00900615i
\(326\) −3.67758 2.13353i −0.203682 0.118165i
\(327\) −4.92905 + 12.6805i −0.272577 + 0.701233i
\(328\) −1.17109 + 2.77779i −0.0646626 + 0.153378i
\(329\) −2.99133 2.99133i −0.164917 0.164917i
\(330\) −5.58507 6.98667i −0.307448 0.384604i
\(331\) −3.25086 + 7.84826i −0.178683 + 0.431380i −0.987691 0.156419i \(-0.950005\pi\)
0.809008 + 0.587798i \(0.200005\pi\)
\(332\) 13.1233 1.67185i 0.720233 0.0917549i
\(333\) 18.5936 + 6.76138i 1.01892 + 0.370521i
\(334\) −3.70366 0.495485i −0.202655 0.0271117i
\(335\) 3.29079i 0.179795i
\(336\) 16.5242 + 9.24312i 0.901467 + 0.504253i
\(337\) 24.2771i 1.32246i 0.750183 + 0.661230i \(0.229965\pi\)
−0.750183 + 0.661230i \(0.770035\pi\)
\(338\) 2.42223 18.1058i 0.131752 0.984823i
\(339\) 17.0648 + 16.3312i 0.926833 + 0.886990i
\(340\) 17.8892 23.1127i 0.970179 1.25346i
\(341\) −2.01819 + 4.87235i −0.109291 + 0.263853i
\(342\) 29.8811 + 15.6236i 1.61579 + 0.844828i
\(343\) −12.6217 12.6217i −0.681509 0.681509i
\(344\) −11.6132 0.0729242i −0.626143 0.00393181i
\(345\) −10.0191 3.89455i −0.539413 0.209676i
\(346\) −7.36796 + 12.7002i −0.396104 + 0.682768i
\(347\) −1.37907 + 3.32937i −0.0740325 + 0.178730i −0.956564 0.291524i \(-0.905838\pi\)
0.882531 + 0.470254i \(0.155838\pi\)
\(348\) 15.3991 + 11.3870i 0.825477 + 0.610409i
\(349\) 10.7378 4.44775i 0.574782 0.238083i −0.0763062 0.997084i \(-0.524313\pi\)
0.651089 + 0.759002i \(0.274313\pi\)
\(350\) −1.87072 + 1.42924i −0.0999940 + 0.0763961i
\(351\) 1.41975 + 0.481249i 0.0757809 + 0.0256871i
\(352\) −8.40068 2.34545i −0.447758 0.125013i
\(353\) 5.62531i 0.299405i −0.988731 0.149703i \(-0.952168\pi\)
0.988731 0.149703i \(-0.0478316\pi\)
\(354\) −9.54006 + 17.3092i −0.507049 + 0.919975i
\(355\) −11.1838 27.0000i −0.593572 1.43301i
\(356\) −5.81752 10.1744i −0.308328 0.539240i
\(357\) 29.1996 0.641400i 1.54540 0.0339465i
\(358\) 0.0170092 + 0.00986780i 0.000898964 + 0.000521529i
\(359\) −22.3781 22.3781i −1.18107 1.18107i −0.979467 0.201603i \(-0.935385\pi\)
−0.201603 0.979467i \(1.43538\pi\)
\(360\) −20.0820 + 0.756359i −1.05841 + 0.0398636i
\(361\) 31.2298 31.2298i 1.64367 1.64367i
\(362\) −13.9830 + 3.71539i −0.734931 + 0.195276i
\(363\) −0.327984 14.9314i −0.0172147 0.783696i
\(364\) 0.965159 1.24698i 0.0505881 0.0653593i
\(365\) 8.44842 3.49945i 0.442211 0.183170i
\(366\) −10.9150 + 3.15837i −0.570534 + 0.165091i
\(367\) −26.0135 −1.35789 −0.678946 0.734188i \(-0.737563\pi\)
−0.678946 + 0.734188i \(0.737563\pi\)
\(368\) −10.1470 + 2.62804i −0.528951 + 0.136996i
\(369\) 2.15946 2.35802i 0.112417 0.122754i
\(370\) −2.92901 + 21.8938i −0.152272 + 1.13821i
\(371\) 14.0113 + 33.8262i 0.727428 + 1.75617i
\(372\) 6.10587 + 10.1544i 0.316575 + 0.526483i
\(373\) −16.7694 6.94611i −0.868286 0.359656i −0.0963434 0.995348i \(-0.530715\pi\)
−0.771942 + 0.635692i \(0.780715\pi\)
\(374\) −13.0031 + 3.45502i −0.672375 + 0.178655i
\(375\) −6.52573 + 16.7881i −0.336987 + 0.866936i
\(376\) 4.05551 1.65009i 0.209147 0.0850968i
\(377\) 1.12786 1.12786i 0.0580878 0.0580878i
\(378\) −13.2161 15.1205i −0.679762 0.777713i
\(379\) 11.8673 + 4.91559i 0.609582 + 0.252497i 0.666050 0.745907i \(-0.267984\pi\)
−0.0564681 + 0.998404i \(0.517984\pi\)
\(380\) −9.89563 + 36.3221i −0.507635 + 1.86328i
\(381\) 9.28576 9.70287i 0.475724 0.497093i
\(382\) 8.74227 6.67916i 0.447294 0.341735i
\(383\) −5.25906 −0.268725 −0.134363 0.990932i \(-0.542899\pi\)
−0.134363 + 0.990932i \(0.542899\pi\)
\(384\) −15.4589 + 12.0426i −0.788882 + 0.614545i
\(385\) 9.97932 0.508593
\(386\) −7.00702 + 5.35341i −0.356648 + 0.272482i
\(387\) 11.5763 + 4.20960i 0.588456 + 0.213986i
\(388\) −5.44940 + 20.0021i −0.276651 + 1.01545i
\(389\) −25.9373 10.7436i −1.31507 0.544721i −0.388712 0.921359i \(-0.627080\pi\)
−0.926360 + 0.376639i \(0.877080\pi\)
\(390\) −0.185448 + 1.66338i −0.00939051 + 0.0842283i
\(391\) −11.4333 + 11.4333i −0.578204 + 0.578204i
\(392\) −1.22713 + 0.499291i −0.0619796 + 0.0252180i
\(393\) −2.04064 0.793219i −0.102937 0.0400126i
\(394\) 10.2193 2.71534i 0.514841 0.136797i
\(395\) 6.04085 + 2.50220i 0.303948 + 0.125899i
\(396\) 7.55728 + 5.33565i 0.379768 + 0.268126i
\(397\) −14.4580 34.9046i −0.725624 1.75181i −0.656654 0.754192i \(-0.728029\pi\)
−0.0689699 0.997619i \(-0.521971\pi\)
\(398\) 3.30223 24.6836i 0.165526 1.23728i
\(399\) −34.4315 + 15.1562i −1.72373 + 0.758759i
\(400\) −0.610901 2.35873i −0.0305450 0.117937i
\(401\) 31.7191 1.58397 0.791987 0.610537i \(-0.209046\pi\)
0.791987 + 0.610537i \(0.209046\pi\)
\(402\) −0.946039 3.26940i −0.0471841 0.163063i
\(403\) 0.911693 0.377635i 0.0454146 0.0188114i
\(404\) −14.0054 + 18.0949i −0.696797 + 0.900255i
\(405\) 20.3325 + 6.39776i 1.01033 + 0.317907i
\(406\) −20.6508 + 5.48706i −1.02488 + 0.272318i
\(407\) 7.19010 7.19010i 0.356400 0.356400i
\(408\) −11.1284 + 28.1052i −0.550940 + 1.39142i
\(409\) −17.8308 17.8308i −0.881677 0.881677i 0.112028 0.993705i \(-0.464265\pi\)
−0.993705 + 0.112028i \(0.964265\pi\)
\(410\) 3.08779 + 1.79136i 0.152495 + 0.0884690i
\(411\) −0.405863 18.4768i −0.0200197 0.911393i
\(412\) 14.7166 + 25.7381i 0.725035 + 1.26803i
\(413\) −8.43832 20.3719i −0.415223 1.00244i
\(414\) 11.0736 + 0.988918i 0.544238 + 0.0486026i
\(415\) 15.6659i 0.769011i
\(416\) 0.801171 + 1.42183i 0.0392806 + 0.0697109i
\(417\) 1.70851 0.752059i 0.0836660 0.0368285i
\(418\) 13.7707 10.5209i 0.673548 0.514596i
\(419\) −2.10652 + 0.872548i −0.102910 + 0.0426268i −0.433544 0.901132i \(-0.642737\pi\)
0.330634 + 0.943759i \(0.392737\pi\)
\(420\) 13.3306 18.0275i 0.650468 0.879651i
\(421\) −0.169965 + 0.410331i −0.00828357 + 0.0199983i −0.927967 0.372662i \(-0.878445\pi\)
0.919684 + 0.392660i \(0.128445\pi\)
\(422\) −0.897576 + 1.54716i −0.0436933 + 0.0753145i
\(423\) −4.63946 + 0.203920i −0.225578 + 0.00991492i
\(424\) −37.8931 0.237946i −1.84025 0.0115557i
\(425\) −2.65772 2.65772i −0.128918 0.128918i
\(426\) 18.8730 + 23.6093i 0.914400 + 1.14387i
\(427\) 4.85132 11.7121i 0.234772 0.566790i
\(428\) −12.4496 + 16.0847i −0.601772 + 0.777484i
\(429\) 0.532700 0.556628i 0.0257190 0.0268743i
\(430\) −1.82359 + 13.6310i −0.0879412 + 0.657345i
\(431\) 2.95351i 0.142266i 0.997467 + 0.0711329i \(0.0226614\pi\)
−0.997467 + 0.0711329i \(0.977339\pi\)
\(432\) 19.7340 6.52462i 0.949451 0.313916i
\(433\) 31.3472i 1.50645i 0.657764 + 0.753224i \(0.271503\pi\)
−0.657764 + 0.753224i \(0.728497\pi\)
\(434\) −13.1027 1.75291i −0.628950 0.0841424i
\(435\) 15.6807 16.3850i 0.751830 0.785602i
\(436\) 15.5835 1.98528i 0.746315 0.0950776i
\(437\) 7.96999 19.2413i 0.381256 0.920434i
\(438\) −7.38746 + 5.90545i −0.352987 + 0.282173i
\(439\) −7.44392 7.44392i −0.355279 0.355279i 0.506791 0.862069i \(-0.330832\pi\)
−0.862069 + 0.506791i \(0.830832\pi\)
\(440\) −4.01234 + 9.51717i −0.191281 + 0.453713i
\(441\) 1.40383 0.0617029i 0.0668489 0.00293824i
\(442\) 2.17759 + 1.26331i 0.103577 + 0.0600897i
\(443\) 3.50021 8.45026i 0.166300 0.401484i −0.818657 0.574283i \(-0.805281\pi\)
0.984957 + 0.172799i \(0.0552810\pi\)
\(444\) −3.38409 22.5935i −0.160602 1.07224i
\(445\) −12.8223 + 5.31117i −0.607835 + 0.251773i
\(446\) 9.01903 + 11.8049i 0.427064 + 0.558979i
\(447\) −1.90115 + 0.836857i −0.0899213 + 0.0395820i
\(448\) 0.274559 21.8610i 0.0129717 1.03283i
\(449\) 24.0900i 1.13688i 0.822725 + 0.568439i \(0.192453\pi\)
−0.822725 + 0.568439i \(0.807547\pi\)
\(450\) −0.229879 + 2.57412i −0.0108366 + 0.121345i
\(451\) −0.628866 1.51822i −0.0296121 0.0714901i
\(452\) 7.16934 26.3152i 0.337217 1.23776i
\(453\) 0.527636 + 24.0205i 0.0247905 + 1.12858i
\(454\) 12.8947 22.2266i 0.605176 1.04315i
\(455\) −1.32037 1.32037i −0.0618999 0.0618999i
\(456\) −0.610609 38.9307i −0.0285944 1.82310i
\(457\) −13.8807 + 13.8807i −0.649311 + 0.649311i −0.952827 0.303515i \(-0.901840\pi\)
0.303515 + 0.952827i \(0.401840\pi\)
\(458\) −5.57674 20.9883i −0.260584 0.980719i
\(459\) 21.1293 24.1146i 0.986231 1.12557i
\(460\) 1.56861 + 12.3129i 0.0731370 + 0.574091i
\(461\) −26.4361 + 10.9502i −1.23125 + 0.510001i −0.900970 0.433881i \(-0.857144\pi\)
−0.330282 + 0.943882i \(0.607144\pi\)
\(462\) −9.91443 + 2.86886i −0.461261 + 0.133471i
\(463\) 35.7558 1.66171 0.830857 0.556485i \(-0.187850\pi\)
0.830857 + 0.556485i \(0.187850\pi\)
\(464\) 3.07002 21.9006i 0.142522 1.01671i
\(465\) 12.8420 5.65287i 0.595535 0.262145i
\(466\) 5.03658 + 0.673807i 0.233315 + 0.0312135i
\(467\) 1.84875 + 4.46327i 0.0855498 + 0.206536i 0.960865 0.277018i \(-0.0893460\pi\)
−0.875315 + 0.483553i \(0.839346\pi\)
\(468\) −0.293946 1.70587i −0.0135877 0.0788540i
\(469\) 3.50818 + 1.45313i 0.161993 + 0.0670995i
\(470\) −1.33143 5.01089i −0.0614142 0.231135i
\(471\) 14.4720 + 5.62542i 0.666834 + 0.259206i
\(472\) 22.8212 + 0.143304i 1.05043 + 0.00659610i
\(473\) 4.47652 4.47652i 0.205831 0.205831i
\(474\) −6.72090 0.749305i −0.308701 0.0344167i
\(475\) 4.47273 + 1.85266i 0.205223 + 0.0850060i
\(476\) −16.7400 29.2769i −0.767278 1.34191i
\(477\) 37.7726 + 13.7356i 1.72949 + 0.628911i
\(478\) 15.1200 + 19.7904i 0.691572 + 0.905190i
\(479\) 15.8988 0.726433 0.363216 0.931705i \(-0.381679\pi\)
0.363216 + 0.931705i \(0.381679\pi\)
\(480\) 11.8328 + 19.9615i 0.540092 + 0.911114i
\(481\) −1.90265 −0.0867535
\(482\) −5.31134 6.95196i −0.241925 0.316653i
\(483\) −8.57603 + 8.96126i −0.390223 + 0.407751i
\(484\) −14.9710 + 8.56013i −0.680499 + 0.389097i
\(485\) 22.6807 + 9.39466i 1.02988 + 0.426590i
\(486\) −22.0395 0.510969i −0.999731 0.0231780i
\(487\) −10.4283 + 10.4283i −0.472552 + 0.472552i −0.902740 0.430187i \(-0.858448\pi\)
0.430187 + 0.902740i \(0.358448\pi\)
\(488\) 9.21919 + 9.33570i 0.417333 + 0.422607i
\(489\) 1.88657 4.85341i 0.0853138 0.219479i
\(490\) 0.402869 + 1.51622i 0.0181998 + 0.0684957i
\(491\) 0.306137 + 0.126806i 0.0138158 + 0.00572268i 0.389581 0.920992i \(-0.372620\pi\)
−0.375765 + 0.926715i \(0.622620\pi\)
\(492\) −3.58269 0.892036i −0.161520 0.0402161i
\(493\) −13.0547 31.5169i −0.587956 1.41945i
\(494\) −3.21404 0.429983i −0.144607 0.0193458i
\(495\) 7.39867 8.07896i 0.332545 0.363122i
\(496\) 6.93988 11.7911i 0.311610 0.529437i
\(497\) −33.7220 −1.51264
\(498\) 4.50365 + 15.5641i 0.201813 + 0.697443i
\(499\) 5.62549 2.33015i 0.251831 0.104312i −0.253197 0.967415i \(-0.581482\pi\)
0.505028 + 0.863103i \(0.331482\pi\)
\(500\) 20.6315 2.62838i 0.922671 0.117545i
\(501\) −0.100502 4.57535i −0.00449012 0.204411i
\(502\) −8.71976 32.8172i −0.389182 1.46470i
\(503\) −10.6198 + 10.6198i −0.473513 + 0.473513i −0.903050 0.429536i \(-0.858677\pi\)
0.429536 + 0.903050i \(0.358677\pi\)
\(504\) −8.06139 + 21.7425i −0.359083 + 0.968490i
\(505\) 19.1599 + 19.1599i 0.852605 + 0.852605i
\(506\) 2.86730 4.94238i 0.127467 0.219716i
\(507\) 22.3671 0.491317i 0.993358 0.0218202i
\(508\) −14.9625 4.07641i −0.663855 0.180861i
\(509\) −2.01172 4.85673i −0.0891681 0.215271i 0.873004 0.487713i \(-0.162169\pi\)
−0.962172 + 0.272442i \(0.912169\pi\)
\(510\) 31.3494 + 17.2784i 1.38818 + 0.765100i
\(511\) 10.5518i 0.466783i
\(512\) 20.7382 + 9.05139i 0.916507 + 0.400019i
\(513\) −13.2575 + 39.1115i −0.585332 + 1.72681i
\(514\) −10.2028 13.3544i −0.450028 0.589037i
\(515\) 32.4366 13.4357i 1.42933 0.592046i
\(516\) −2.10691 14.0666i −0.0927517 0.619248i
\(517\) −0.913364 + 2.20506i −0.0401697 + 0.0969783i
\(518\) 22.0467 + 12.7903i 0.968677 + 0.561973i
\(519\) −16.7609 6.51513i −0.735721 0.285983i
\(520\) 1.79010 0.728348i 0.0785010 0.0319402i
\(521\) −19.9974 19.9974i −0.876102 0.876102i 0.117027 0.993129i \(-0.462664\pi\)
−0.993129 + 0.117027i \(0.962664\pi\)
\(522\) −10.8683 + 20.7864i −0.475694 + 0.909795i
\(523\) −15.2948 + 36.9248i −0.668793 + 1.61461i 0.114839 + 0.993384i \(0.463365\pi\)
−0.783632 + 0.621225i \(0.786635\pi\)
\(524\) 0.319486 + 2.50782i 0.0139568 + 0.109554i
\(525\) −2.08309 1.99354i −0.0909134 0.0870053i
\(526\) −23.0330 3.08141i −1.00429 0.134356i
\(527\) 21.1053i 0.919360i
\(528\) 1.25025 10.6088i 0.0544101 0.461687i
\(529\) 16.1332i 0.701443i
\(530\) −5.95023 + 44.4769i −0.258462 + 1.93195i
\(531\) −22.7487 8.27232i −0.987208 0.358988i
\(532\) 34.3518 + 26.5883i 1.48934 + 1.15275i
\(533\) −0.117671 + 0.284082i −0.00509688 + 0.0123050i
\(534\) 11.2121 8.96279i 0.485193 0.387858i
\(535\) 17.0314 + 17.0314i 0.736332 + 0.736332i
\(536\) −2.79636 + 2.76146i −0.120784 + 0.119277i
\(537\) −0.00872561 + 0.0224476i −0.000376538 + 0.000968684i
\(538\) 10.5604 18.2030i 0.455289 0.784786i
\(539\) 0.276370 0.667216i 0.0119041 0.0287390i
\(540\) −4.71119 24.1576i −0.202737 1.03958i
\(541\) −35.6786 + 14.7786i −1.53394 + 0.635380i −0.980325 0.197391i \(-0.936753\pi\)
−0.553618 + 0.832771i \(0.686753\pi\)
\(542\) 7.94840 6.07263i 0.341413 0.260842i
\(543\) −7.13898 16.2181i −0.306363 0.695987i
\(544\) 34.6517 4.19354i 1.48568 0.179797i
\(545\) 18.6029i 0.796859i
\(546\) 1.69137 + 0.932204i 0.0723837 + 0.0398946i
\(547\) 12.4112 + 29.9634i 0.530666 + 1.28114i 0.931083 + 0.364808i \(0.118865\pi\)
−0.400416 + 0.916333i \(0.631135\pi\)
\(548\) −18.5258 + 10.5927i −0.791381 + 0.452498i
\(549\) −5.88502 12.6109i −0.251167 0.538219i
\(550\) 1.14888 + 0.666517i 0.0489885 + 0.0284204i
\(551\) 31.0704 + 31.0704i 1.32364 + 1.32364i
\(552\) −5.09813 11.7819i −0.216991 0.501470i
\(553\) 5.33499 5.33499i 0.226867 0.226867i
\(554\) −1.67759 + 0.445748i −0.0712741 + 0.0189380i
\(555\) −27.0467 + 0.594111i −1.14807 + 0.0252186i
\(556\) −1.70455 1.31932i −0.0722892 0.0559518i
\(557\) −9.30090 + 3.85256i −0.394092 + 0.163238i −0.570924 0.821003i \(-0.693415\pi\)
0.176832 + 0.984241i \(0.443415\pi\)
\(558\) −11.1334 + 9.30795i −0.471316 + 0.394037i
\(559\) −1.18458 −0.0501025
\(560\) −25.6387 3.59402i −1.08343 0.151875i
\(561\) −6.63869 15.0816i −0.280286 0.636746i
\(562\) −3.18804 + 23.8300i −0.134479 + 1.00521i
\(563\) −1.24166 2.99763i −0.0523297 0.126335i 0.895553 0.444955i \(-0.146780\pi\)
−0.947882 + 0.318620i \(0.896780\pi\)
\(564\) 2.76330 + 4.59555i 0.116356 + 0.193507i
\(565\) −29.8392 12.3598i −1.25535 0.519981i
\(566\) 18.9597 5.03773i 0.796937 0.211752i
\(567\) 15.7987 18.8505i 0.663483 0.791646i
\(568\) 13.5585 32.1603i 0.568900 1.34942i
\(569\) −28.3250 + 28.3250i −1.18745 + 1.18745i −0.209674 + 0.977771i \(0.567240\pi\)
−0.977771 + 0.209674i \(0.932760\pi\)
\(570\) −45.8228 5.10873i −1.91931 0.213981i
\(571\) −37.5476 15.5527i −1.57132 0.650862i −0.584310 0.811530i \(-0.698635\pi\)
−0.987008 + 0.160669i \(0.948635\pi\)
\(572\) −0.858362 0.233853i −0.0358899 0.00977789i
\(573\) 9.73473 + 9.31626i 0.406674 + 0.389192i
\(574\) 3.27319 2.50074i 0.136620 0.104379i
\(575\) 1.59623 0.0665673
\(576\) −17.4944 16.4300i −0.728935 0.684583i
\(577\) 5.37886 0.223925 0.111962 0.993712i \(-0.464286\pi\)
0.111962 + 0.993712i \(0.464286\pi\)
\(578\) 23.6809 18.0924i 0.984995 0.752543i
\(579\) −7.80249 7.46708i −0.324260 0.310321i
\(580\) −25.2669 6.88375i −1.04915 0.285832i
\(581\) −16.7008 6.91770i −0.692866 0.286994i
\(582\) −25.2340 2.81331i −1.04598 0.116616i
\(583\) 14.6066 14.6066i 0.604942 0.604942i
\(584\) 10.0631 + 4.24251i 0.416415 + 0.175556i
\(585\) −2.04785 + 0.0900101i −0.0846684 + 0.00372146i
\(586\) 36.6021 9.72544i 1.51202 0.401754i
\(587\) −1.77252 0.734203i −0.0731599 0.0303038i 0.345803 0.938307i \(-0.387606\pi\)
−0.418963 + 0.908003i \(0.637606\pi\)
\(588\) −0.836132 1.39054i −0.0344815 0.0573449i
\(589\) 10.4031 + 25.1154i 0.428653 + 1.03486i
\(590\) 3.58355 26.7864i 0.147532 1.10278i
\(591\) 5.21743 + 11.8528i 0.214616 + 0.487560i
\(592\) −21.0622 + 15.8832i −0.865651 + 0.652795i
\(593\) −24.1664 −0.992394 −0.496197 0.868210i \(-0.665271\pi\)
−0.496197 + 0.868210i \(0.665271\pi\)
\(594\) −5.02802 + 10.1534i −0.206302 + 0.416599i
\(595\) −36.8964 + 15.2830i −1.51260 + 0.626541i
\(596\) 1.89675 + 1.46808i 0.0776940 + 0.0601351i
\(597\) 30.4931 0.669813i 1.24800 0.0274136i
\(598\) −1.03330 + 0.274556i −0.0422549 + 0.0112274i
\(599\) 11.6692 11.6692i 0.476789 0.476789i −0.427314 0.904103i \(-0.640540\pi\)
0.904103 + 0.427314i \(0.140540\pi\)
\(600\) 2.73876 1.18509i 0.111809 0.0483809i
\(601\) −8.80143 8.80143i −0.359018 0.359018i 0.504433 0.863451i \(-0.331702\pi\)
−0.863451 + 0.504433i \(0.831702\pi\)
\(602\) 13.7262 + 7.96316i 0.559437 + 0.324554i
\(603\) 3.77738 1.76276i 0.153827 0.0717852i
\(604\) 24.0841 13.7709i 0.979970 0.560329i
\(605\) 7.81507 + 18.8672i 0.317728 + 0.767062i
\(606\) −24.5434 13.5272i −0.997009 0.549506i
\(607\) 31.9215i 1.29565i 0.761788 + 0.647826i \(0.224322\pi\)
−0.761788 + 0.647826i \(0.775678\pi\)
\(608\) −39.1686 + 22.0707i −1.58850 + 0.895086i
\(609\) −10.5432 23.9517i −0.427231 0.970573i
\(610\) 12.3462 9.43257i 0.499882 0.381914i
\(611\) 0.412600 0.170905i 0.0166920 0.00691406i
\(612\) −36.1128 8.15369i −1.45977 0.329594i
\(613\) 7.35458 17.7555i 0.297049 0.717139i −0.702934 0.711255i \(-0.748127\pi\)
0.999983 0.00588391i \(-0.00187292\pi\)
\(614\) −0.510333 + 0.879665i −0.0205954 + 0.0355004i
\(615\) −1.58401 + 4.07504i −0.0638736 + 0.164322i
\(616\) 8.37411 + 8.47994i 0.337402 + 0.341667i
\(617\) 13.5933 + 13.5933i 0.547246 + 0.547246i 0.925643 0.378397i \(-0.123525\pi\)
−0.378397 + 0.925643i \(0.623525\pi\)
\(618\) −28.3632 + 22.6732i −1.14093 + 0.912050i
\(619\) −3.75210 + 9.05838i −0.150810 + 0.364087i −0.981172 0.193137i \(-0.938134\pi\)
0.830362 + 0.557224i \(0.188134\pi\)
\(620\) −12.8123 9.91673i −0.514555 0.398265i
\(621\) 0.896498 + 13.5868i 0.0359752 + 0.545219i
\(622\) 0.956420 7.14907i 0.0383489 0.286651i
\(623\) 16.0146i 0.641611i
\(624\) −1.56907 + 1.23823i −0.0628132 + 0.0495689i
\(625\) 27.6746i 1.10699i
\(626\) 46.0365 + 6.15887i 1.83999 + 0.246158i
\(627\) 15.3340 + 14.6749i 0.612383 + 0.586058i
\(628\) −2.26576 17.7852i −0.0904136 0.709705i
\(629\) −15.5725 + 37.5953i −0.620915 + 1.49902i
\(630\) 24.3343 + 12.7234i 0.969502 + 0.506912i
\(631\) 5.39207 + 5.39207i 0.214655 + 0.214655i 0.806242 0.591587i \(-0.201498\pi\)
−0.591587 + 0.806242i \(0.701498\pi\)
\(632\) 2.94291 + 7.23293i 0.117063 + 0.287711i
\(633\) −2.04183 0.793682i −0.0811556 0.0315460i
\(634\) 4.54078 + 2.63431i 0.180337 + 0.104622i
\(635\) −7.02766 + 16.9663i −0.278884 + 0.673286i
\(636\) −6.87470 45.8983i −0.272600 1.81999i
\(637\) −0.124846 + 0.0517131i −0.00494659 + 0.00204895i
\(638\) 7.31873 + 9.57940i 0.289751 + 0.379252i
\(639\) −25.0015 + 27.3003i −0.989044 + 1.07999i
\(640\) 13.7360 23.0063i 0.542964 0.909405i
\(641\) 1.82203i 0.0719659i −0.999352 0.0359830i \(-0.988544\pi\)
0.999352 0.0359830i \(-0.0114562\pi\)
\(642\) −21.8169 12.0245i −0.861043 0.474568i
\(643\) −10.4095 25.1308i −0.410511 0.991062i −0.985001 0.172550i \(-0.944799\pi\)
0.574489 0.818512i \(-0.305201\pi\)
\(644\) 13.8189 + 3.76484i 0.544542 + 0.148355i
\(645\) −16.8392 + 0.369890i −0.663041 + 0.0145644i
\(646\) −34.8019 + 59.9883i −1.36926 + 2.36021i
\(647\) 27.3258 + 27.3258i 1.07429 + 1.07429i 0.997010 + 0.0772785i \(0.0246231\pi\)
0.0772785 + 0.997010i \(0.475377\pi\)
\(648\) 11.6254 + 22.6462i 0.456689 + 0.889626i
\(649\) −8.79684 + 8.79684i −0.345306 + 0.345306i
\(650\) −0.0638219 0.240197i −0.00250330 0.00942129i
\(651\) −0.355554 16.1865i −0.0139353 0.634400i
\(652\) −5.96453 + 0.759858i −0.233589 + 0.0297583i
\(653\) 21.5061 8.90811i 0.841598 0.348601i 0.0801145 0.996786i \(-0.474471\pi\)
0.761483 + 0.648184i \(0.224471\pi\)
\(654\) 5.34796 + 18.4819i 0.209122 + 0.722699i
\(655\) 2.99371 0.116974
\(656\) 1.06889 + 4.12706i 0.0417332 + 0.161135i
\(657\) −8.54241 7.82309i −0.333271 0.305208i
\(658\) −5.92982 0.793306i −0.231169 0.0309263i
\(659\) −17.2778 41.7123i −0.673048 1.62488i −0.776403 0.630237i \(-0.782958\pi\)
0.103355 0.994644i \(1.53296\pi\)
\(660\) −12.2749 3.05626i −0.477799 0.118965i
\(661\) 44.7407 + 18.5322i 1.74021 + 0.720819i 0.998759 + 0.0498140i \(0.0158629\pi\)
0.741453 + 0.671005i \(0.234137\pi\)
\(662\) 3.08505 + 11.6107i 0.119904 + 0.451264i
\(663\) −1.11709 + 2.87383i −0.0433841 + 0.111610i
\(664\) 13.3122 13.1460i 0.516612 0.510164i
\(665\) 36.3736 36.3736i 1.41051 1.41051i
\(666\) 26.7001 8.36566i 1.03461 0.324163i
\(667\) 13.3849 + 5.54420i 0.518265 + 0.214672i
\(668\) −4.58747 + 2.62303i −0.177495 + 0.101488i
\(669\) −12.5800 + 13.1451i −0.486370 + 0.508217i
\(670\) 2.82537 + 3.69810i 0.109154 + 0.142870i
\(671\) −7.15231 −0.276112
\(672\) 26.5052 3.79997i 1.02246 0.146587i
\(673\) −10.8139 −0.416844 −0.208422 0.978039i \(-0.566833\pi\)
−0.208422 + 0.978039i \(0.566833\pi\)
\(674\) 20.8436 + 27.2819i 0.802865 + 1.05086i
\(675\) −3.15831 + 0.208395i −0.121564 + 0.00802114i
\(676\) −12.8230 22.4264i −0.493192 0.862553i
\(677\) −16.7436 6.93541i −0.643507 0.266549i 0.0369727 0.999316i \(-0.488229\pi\)
−0.680480 + 0.732767i \(0.738229\pi\)
\(678\) 33.1984 + 3.70125i 1.27498 + 0.142146i
\(679\) 20.0305 20.0305i 0.768701 0.768701i
\(680\) 0.259543 41.3325i 0.00995304 1.58503i
\(681\) 29.3332 + 11.4021i 1.12405 + 0.436930i
\(682\) 1.91526 + 7.20816i 0.0733391 + 0.276015i
\(683\) 43.5660 + 18.0456i 1.66701 + 0.690497i 0.998580 0.0532798i \(-0.0169675\pi\)
0.668428 + 0.743777i \(0.266968\pi\)
\(684\) 46.9935 8.09765i 1.79684 0.309621i
\(685\) 9.67071 + 23.3472i 0.369499 + 0.892049i
\(686\) −25.0205 3.34731i −0.955288 0.127801i
\(687\) 24.3432 10.7155i 0.928751 0.408822i
\(688\) −13.1132 + 9.88880i −0.499936 + 0.377007i
\(689\) −3.86521 −0.147253
\(690\) −14.6030 + 4.22554i −0.555925 + 0.160864i
\(691\) −5.29763 + 2.19435i −0.201531 + 0.0834771i −0.481166 0.876629i \(-0.659787\pi\)
0.279635 + 0.960106i \(0.409787\pi\)
\(692\) 2.62411 + 20.5980i 0.0997536 + 0.783020i
\(693\) −5.34557 11.4549i −0.203061 0.435135i
\(694\) 1.30873 + 4.92548i 0.0496789 + 0.186969i
\(695\) −1.80488 + 1.80488i −0.0684630 + 0.0684630i
\(696\) 27.0816 0.424761i 1.02652 0.0161005i
\(697\) 4.65020 + 4.65020i 0.176139 + 0.176139i
\(698\) 8.24815 14.2174i 0.312197 0.538137i
\(699\) 0.136673 + 6.22199i 0.00516943 + 0.235337i
\(700\) −0.875156 + 3.21228i −0.0330778 + 0.121413i
\(701\) −13.7184 33.1190i −0.518135 1.25089i −0.939047 0.343787i \(-0.888290\pi\)
0.420912 0.907101i \(1.63829\pi\)
\(702\) 2.00866 0.678143i 0.0758121 0.0255949i
\(703\) 52.4144i 1.97685i
\(704\) −11.4542 + 4.57681i −0.431695 + 0.172495i
\(705\) 5.81186 2.55829i 0.218887 0.0963508i
\(706\) −4.82971 6.32156i −0.181769 0.237915i
\(707\) 28.8861 11.9650i 1.08638 0.449991i
\(708\) 4.14031 + 27.6424i 0.155602 + 1.03886i
\(709\) −1.39804 + 3.37516i −0.0525044 + 0.126757i −0.947955 0.318403i \(-0.896853\pi\)
0.895451 + 0.445160i \(0.146853\pi\)
\(710\) −35.7493 20.7398i −1.34165 0.778349i
\(711\) −0.363688 8.27440i −0.0136394 0.310314i
\(712\) −15.2729 6.43891i −0.572378 0.241309i
\(713\) 6.33792 + 6.33792i 0.237357 + 0.237357i
\(714\) 32.2629 25.7906i 1.20741 0.965189i
\(715\) −0.403158 + 0.973311i −0.0150773 + 0.0363998i
\(716\) 0.0275866 0.00351443i 0.00103096 0.000131340i
\(717\) −21.0897 + 22.0371i −0.787610 + 0.822989i
\(718\) −44.3610 5.93472i −1.65554 0.221482i
\(719\) 25.3851i 0.946706i −0.880873 0.473353i \(-0.843044\pi\)
0.880873 0.473353i \(-0.156956\pi\)
\(720\) −21.9182 + 18.0917i −0.816841 + 0.674239i
\(721\) 40.5121i 1.50875i
\(722\) 8.28220 61.9080i 0.308232 2.30398i
\(723\) 7.40840 7.74117i 0.275521 0.287897i
\(724\) −12.5238 + 16.1806i −0.465443 + 0.601348i
\(725\) −1.28878 + 3.11138i −0.0478640 + 0.115554i
\(726\) −13.1882 16.4979i −0.489461 0.612294i
\(727\) −32.5294 32.5294i −1.20645 1.20645i −0.972169 0.234280i \(-0.924727\pi\)
−0.234280 0.972169i \(-0.575273\pi\)
\(728\) 0.0140029 2.22997i 0.000518982 0.0826482i
\(729\) −3.54764 26.7659i −0.131394 0.991330i
\(730\) 6.48957 11.1861i 0.240190 0.414017i
\(731\) −9.69534 + 23.4066i −0.358595 + 0.865725i
\(732\) −9.55423 + 12.9205i −0.353134 + 0.477556i
\(733\) 26.3419 10.9112i 0.972961 0.403014i 0.161147 0.986930i \(-0.448481\pi\)
0.811814 + 0.583917i \(0.198481\pi\)
\(734\) −29.2332 + 22.3343i −1.07902 + 0.824376i
\(735\) −1.75858 + 0.774099i −0.0648661 + 0.0285531i
\(736\) −9.14660 + 11.6652i −0.337148 + 0.429987i
\(737\) 2.14236i 0.0789147i
\(738\) 0.402218 4.50392i 0.0148059 0.165792i
\(739\) 13.4201 + 32.3991i 0.493668 + 1.19182i 0.952840 + 0.303473i \(0.0981461\pi\)
−0.459172 + 0.888347i \(0.651854\pi\)
\(740\) 15.5058 + 27.1184i 0.570005 + 0.996893i
\(741\) −0.0872162 3.97050i −0.00320397 0.145860i
\(742\) 44.7875 + 25.9832i 1.64420 + 0.953874i
\(743\) 5.42669 + 5.42669i 0.199086 + 0.199086i 0.799608 0.600522i \(-0.205041\pi\)
−0.600522 + 0.799608i \(0.705041\pi\)
\(744\) 15.5799 + 6.16896i 0.571186 + 0.226165i
\(745\) 2.00839 2.00839i 0.0735817 0.0735817i
\(746\) −24.8087 + 6.59183i −0.908309 + 0.241344i
\(747\) −17.9823 + 8.39169i −0.657939 + 0.307036i
\(748\) −11.6461 + 15.0467i −0.425825 + 0.550162i
\(749\) 25.6771 10.6358i 0.938222 0.388624i
\(750\) 7.08034 + 24.4688i 0.258538 + 0.893474i
\(751\) 3.67683 0.134170 0.0670848 0.997747i \(-0.478630\pi\)
0.0670848 + 0.997747i \(0.478630\pi\)
\(752\) 3.14075 5.33625i 0.114531 0.194593i
\(753\) 38.0629 16.7547i 1.38709 0.610576i
\(754\) 0.299111 2.23580i 0.0108930 0.0814231i
\(755\) −12.5723 30.3521i −0.457552 1.10463i
\(756\) −27.8338 5.64503i −1.01231 0.205308i
\(757\) −13.0816 5.41857i −0.475458 0.196941i 0.132068 0.991241i \(-0.457838\pi\)
−0.607526 + 0.794299i \(0.707838\pi\)
\(758\) 17.5565 4.66488i 0.637680 0.169436i
\(759\) 6.52262 + 2.53541i 0.236756 + 0.0920296i
\(760\) 20.0646 + 49.3138i 0.727819 +