Properties

Label 135.2.q.a.32.14
Level $135$
Weight $2$
Character 135.32
Analytic conductor $1.078$
Analytic rank $0$
Dimension $192$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 135 = 3^{3} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 135.q (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.07798042729\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(16\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 32.14
Character \(\chi\) \(=\) 135.32
Dual form 135.2.q.a.38.14

$q$-expansion

\(f(q)\) \(=\) \(q+(0.191628 - 2.19031i) q^{2} +(0.699511 + 1.58451i) q^{3} +(-2.79113 - 0.492152i) q^{4} +(2.03807 - 0.919920i) q^{5} +(3.60463 - 1.22851i) q^{6} +(-0.000371431 + 0.000530458i) q^{7} +(-0.474704 + 1.77162i) q^{8} +(-2.02137 + 2.21677i) q^{9} +O(q^{10})\) \(q+(0.191628 - 2.19031i) q^{2} +(0.699511 + 1.58451i) q^{3} +(-2.79113 - 0.492152i) q^{4} +(2.03807 - 0.919920i) q^{5} +(3.60463 - 1.22851i) q^{6} +(-0.000371431 + 0.000530458i) q^{7} +(-0.474704 + 1.77162i) q^{8} +(-2.02137 + 2.21677i) q^{9} +(-1.62436 - 4.64030i) q^{10} +(0.925209 - 2.54199i) q^{11} +(-1.17261 - 4.76685i) q^{12} +(-3.16625 + 0.277011i) q^{13} +(0.00109069 + 0.000915200i) q^{14} +(2.88328 + 2.58586i) q^{15} +(-1.53710 - 0.559459i) q^{16} +(1.76536 + 6.58840i) q^{17} +(4.46807 + 4.85222i) q^{18} +(-1.52337 + 0.879517i) q^{19} +(-6.14128 + 1.56458i) q^{20} +(-0.00110034 - 0.000217476i) q^{21} +(-5.39046 - 2.51361i) q^{22} +(-4.18584 + 2.93096i) q^{23} +(-3.13922 + 0.487092i) q^{24} +(3.30749 - 3.74973i) q^{25} +6.98815i q^{26} +(-4.92647 - 1.65223i) q^{27} +(0.00129778 - 0.00129778i) q^{28} +(4.37718 - 3.67289i) q^{29} +(6.21636 - 5.81977i) q^{30} +(-0.944975 + 5.35922i) q^{31} +(-3.07020 + 6.58407i) q^{32} +(4.67501 - 0.312144i) q^{33} +(14.7689 - 2.60416i) q^{34} +(-0.000269024 + 0.00142280i) q^{35} +(6.73289 - 5.19248i) q^{36} +(0.253391 - 0.0678960i) q^{37} +(1.63450 + 3.50519i) q^{38} +(-2.65375 - 4.82319i) q^{39} +(0.662267 + 4.04738i) q^{40} +(7.56097 - 9.01082i) q^{41} +(-0.000687195 + 0.00236841i) q^{42} +(-7.88368 + 3.67622i) q^{43} +(-3.83342 + 6.63969i) q^{44} +(-2.08045 + 6.37744i) q^{45} +(5.61759 + 9.72995i) q^{46} +(-0.576559 - 0.403711i) q^{47} +(-0.188748 - 2.82690i) q^{48} +(2.39414 + 6.57785i) q^{49} +(-7.57928 - 7.96300i) q^{50} +(-9.20452 + 7.40589i) q^{51} +(8.97374 + 0.785101i) q^{52} +(-5.73786 - 5.73786i) q^{53} +(-4.56295 + 10.4739i) q^{54} +(-0.452784 - 6.03188i) q^{55} +(-0.000763450 - 0.000909845i) q^{56} +(-2.45922 - 1.79857i) q^{57} +(-7.20599 - 10.2912i) q^{58} +(2.11198 - 0.768697i) q^{59} +(-6.77498 - 8.63650i) q^{60} +(-1.14333 - 6.48417i) q^{61} +(11.5573 + 3.09676i) q^{62} +(-0.000425105 - 0.00189563i) q^{63} +(10.9996 + 6.35064i) q^{64} +(-6.19822 + 3.47726i) q^{65} +(0.212168 - 10.2996i) q^{66} +(0.216242 + 2.47165i) q^{67} +(-1.68485 - 19.2579i) q^{68} +(-7.57218 - 4.58228i) q^{69} +(0.00306482 + 0.000861895i) q^{70} +(-10.4316 - 6.02267i) q^{71} +(-2.96772 - 4.63341i) q^{72} +(1.40104 + 0.375408i) q^{73} +(-0.100157 - 0.568017i) q^{74} +(8.25513 + 2.61779i) q^{75} +(4.68478 - 1.70512i) q^{76} +(0.00100477 + 0.00143496i) q^{77} +(-11.0728 + 4.88829i) q^{78} +(-3.36157 - 4.00616i) q^{79} +(-3.64738 + 0.273791i) q^{80} +(-0.828138 - 8.96182i) q^{81} +(-18.2876 - 18.2876i) q^{82} +(15.9554 + 1.39592i) q^{83} +(0.00296416 + 0.00114854i) q^{84} +(9.65872 + 11.8037i) q^{85} +(6.54134 + 17.9722i) q^{86} +(8.88163 + 4.36647i) q^{87} +(4.06424 + 2.84581i) q^{88} +(-2.99426 - 5.18621i) q^{89} +(13.5699 + 5.77892i) q^{90} +(0.00102910 - 0.00178245i) q^{91} +(13.1257 - 6.12062i) q^{92} +(-9.15278 + 2.25151i) q^{93} +(-0.994737 + 1.18548i) q^{94} +(-2.29565 + 3.19390i) q^{95} +(-12.5802 - 0.259149i) q^{96} +(3.55678 + 7.62753i) q^{97} +(14.8663 - 3.98342i) q^{98} +(3.76482 + 7.18927i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 36 q^{6} - 12 q^{7} - 18 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 192 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 36 q^{6} - 12 q^{7} - 18 q^{8} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{13} - 12 q^{15} - 24 q^{16} - 18 q^{17} - 54 q^{18} + 36 q^{20} - 24 q^{21} - 12 q^{22} - 36 q^{23} - 30 q^{25} - 36 q^{27} - 24 q^{28} + 60 q^{30} - 24 q^{31} - 48 q^{32} - 6 q^{33} + 36 q^{35} + 12 q^{36} - 6 q^{37} + 12 q^{38} - 36 q^{40} + 24 q^{41} - 24 q^{42} - 12 q^{43} + 18 q^{45} - 12 q^{46} - 6 q^{47} + 12 q^{48} + 36 q^{50} + 144 q^{51} + 12 q^{52} - 24 q^{55} + 180 q^{56} - 12 q^{57} - 12 q^{58} - 36 q^{60} - 60 q^{61} - 18 q^{62} - 54 q^{63} - 84 q^{65} + 72 q^{66} + 24 q^{67} - 60 q^{68} - 12 q^{70} - 36 q^{71} + 180 q^{72} - 6 q^{73} - 60 q^{75} - 72 q^{76} + 132 q^{77} + 78 q^{78} + 12 q^{81} - 24 q^{82} + 48 q^{83} - 12 q^{85} + 12 q^{86} + 144 q^{87} - 48 q^{88} + 48 q^{90} - 12 q^{91} + 258 q^{92} + 180 q^{93} + 18 q^{95} - 12 q^{96} + 24 q^{97} + 324 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/135\mathbb{Z}\right)^\times\).

\(n\) \(56\) \(82\)
\(\chi(n)\) \(e\left(\frac{5}{18}\right)\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.191628 2.19031i 0.135501 1.54878i −0.558923 0.829219i \(-0.688785\pi\)
0.694425 0.719566i \(-0.255659\pi\)
\(3\) 0.699511 + 1.58451i 0.403863 + 0.914820i
\(4\) −2.79113 0.492152i −1.39557 0.246076i
\(5\) 2.03807 0.919920i 0.911455 0.411401i
\(6\) 3.60463 1.22851i 1.47158 0.501538i
\(7\) −0.000371431 0 0.000530458i −0.000140388 0 0.000200494i −0.819222 0.573476i \(-0.805595\pi\)
0.819082 + 0.573677i \(0.194483\pi\)
\(8\) −0.474704 + 1.77162i −0.167833 + 0.626362i
\(9\) −2.02137 + 2.21677i −0.673790 + 0.738923i
\(10\) −1.62436 4.64030i −0.513668 1.46739i
\(11\) 0.925209 2.54199i 0.278961 0.766439i −0.718520 0.695506i \(-0.755180\pi\)
0.997481 0.0709326i \(-0.0225975\pi\)
\(12\) −1.17261 4.76685i −0.338502 1.37607i
\(13\) −3.16625 + 0.277011i −0.878159 + 0.0768289i −0.517313 0.855797i \(-0.673068\pi\)
−0.360846 + 0.932625i \(0.617512\pi\)
\(14\) 0.00109069 0.000915200i 0.000291500 0.000244597i
\(15\) 2.88328 + 2.58586i 0.744460 + 0.667667i
\(16\) −1.53710 0.559459i −0.384275 0.139865i
\(17\) 1.76536 + 6.58840i 0.428162 + 1.59792i 0.756921 + 0.653507i \(0.226703\pi\)
−0.328759 + 0.944414i \(0.606630\pi\)
\(18\) 4.46807 + 4.85222i 1.05313 + 1.14368i
\(19\) −1.52337 + 0.879517i −0.349485 + 0.201775i −0.664458 0.747325i \(-0.731338\pi\)
0.314974 + 0.949100i \(0.398004\pi\)
\(20\) −6.14128 + 1.56458i −1.37323 + 0.349850i
\(21\) −0.00110034 0.000217476i −0.000240113 4.74571e-5i
\(22\) −5.39046 2.51361i −1.14925 0.535904i
\(23\) −4.18584 + 2.93096i −0.872808 + 0.611147i −0.921806 0.387652i \(-0.873286\pi\)
0.0489979 + 0.998799i \(0.484397\pi\)
\(24\) −3.13922 + 0.487092i −0.640790 + 0.0994273i
\(25\) 3.30749 3.74973i 0.661499 0.749946i
\(26\) 6.98815i 1.37049i
\(27\) −4.92647 1.65223i −0.948100 0.317972i
\(28\) 0.00129778 0.00129778i 0.000245257 0.000245257i
\(29\) 4.37718 3.67289i 0.812822 0.682038i −0.138458 0.990368i \(-0.544215\pi\)
0.951279 + 0.308330i \(0.0997701\pi\)
\(30\) 6.21636 5.81977i 1.13495 1.06254i
\(31\) −0.944975 + 5.35922i −0.169723 + 0.962544i 0.774338 + 0.632772i \(0.218083\pi\)
−0.944061 + 0.329772i \(0.893028\pi\)
\(32\) −3.07020 + 6.58407i −0.542740 + 1.16391i
\(33\) 4.67501 0.312144i 0.813815 0.0543373i
\(34\) 14.7689 2.60416i 2.53285 0.446610i
\(35\) −0.000269024 0.00142280i −4.54734e−5 0.000240497i
\(36\) 6.73289 5.19248i 1.12215 0.865413i
\(37\) 0.253391 0.0678960i 0.0416573 0.0111620i −0.237930 0.971282i \(-0.576469\pi\)
0.279587 + 0.960120i \(0.409802\pi\)
\(38\) 1.63450 + 3.50519i 0.265151 + 0.568617i
\(39\) −2.65375 4.82319i −0.424940 0.772328i
\(40\) 0.662267 + 4.04738i 0.104714 + 0.639947i
\(41\) 7.56097 9.01082i 1.18083 1.40725i 0.287537 0.957770i \(-0.407164\pi\)
0.893289 0.449483i \(-0.148392\pi\)
\(42\) −0.000687195 0.00236841i −0.000106037 0.000365454i
\(43\) −7.88368 + 3.67622i −1.20225 + 0.560618i −0.917405 0.397955i \(-0.869720\pi\)
−0.284845 + 0.958574i \(0.591942\pi\)
\(44\) −3.83342 + 6.63969i −0.577910 + 1.00097i
\(45\) −2.08045 + 6.37744i −0.310135 + 0.950693i
\(46\) 5.61759 + 9.72995i 0.828268 + 1.43460i
\(47\) −0.576559 0.403711i −0.0840997 0.0588873i 0.530770 0.847516i \(-0.321903\pi\)
−0.614870 + 0.788628i \(0.710792\pi\)
\(48\) −0.188748 2.82690i −0.0272435 0.408028i
\(49\) 2.39414 + 6.57785i 0.342020 + 0.939693i
\(50\) −7.57928 7.96300i −1.07187 1.12614i
\(51\) −9.20452 + 7.40589i −1.28889 + 1.03703i
\(52\) 8.97374 + 0.785101i 1.24443 + 0.108874i
\(53\) −5.73786 5.73786i −0.788156 0.788156i 0.193036 0.981192i \(-0.438167\pi\)
−0.981192 + 0.193036i \(0.938167\pi\)
\(54\) −4.56295 + 10.4739i −0.620939 + 1.42532i
\(55\) −0.452784 6.03188i −0.0610534 0.813339i
\(56\) −0.000763450 0 0.000909845i −0.000102020 0 0.000121583i
\(57\) −2.45922 1.79857i −0.325732 0.238226i
\(58\) −7.20599 10.2912i −0.946193 1.35130i
\(59\) 2.11198 0.768697i 0.274956 0.100076i −0.200862 0.979620i \(-0.564374\pi\)
0.475818 + 0.879544i \(0.342152\pi\)
\(60\) −6.77498 8.63650i −0.874647 1.11497i
\(61\) −1.14333 6.48417i −0.146389 0.830213i −0.966241 0.257638i \(-0.917056\pi\)
0.819852 0.572575i \(-0.194055\pi\)
\(62\) 11.5573 + 3.09676i 1.46778 + 0.393290i
\(63\) −0.000425105 0.00189563i −5.35582e−5 0.000238827i
\(64\) 10.9996 + 6.35064i 1.37495 + 0.793830i
\(65\) −6.19822 + 3.47726i −0.768794 + 0.431301i
\(66\) 0.212168 10.2996i 0.0261161 1.26779i
\(67\) 0.216242 + 2.47165i 0.0264181 + 0.301960i 0.997896 + 0.0648313i \(0.0206509\pi\)
−0.971478 + 0.237129i \(0.923794\pi\)
\(68\) −1.68485 19.2579i −0.204318 2.33536i
\(69\) −7.57218 4.58228i −0.911583 0.551642i
\(70\) 0.00306482 0.000861895i 0.000366316 0.000103016i
\(71\) −10.4316 6.02267i −1.23800 0.714759i −0.269314 0.963052i \(-0.586797\pi\)
−0.968685 + 0.248294i \(0.920130\pi\)
\(72\) −2.96772 4.63341i −0.349749 0.546052i
\(73\) 1.40104 + 0.375408i 0.163979 + 0.0439381i 0.339875 0.940471i \(-0.389615\pi\)
−0.175895 + 0.984409i \(0.556282\pi\)
\(74\) −0.100157 0.568017i −0.0116430 0.0660306i
\(75\) 8.25513 + 2.61779i 0.953220 + 0.302276i
\(76\) 4.68478 1.70512i 0.537381 0.195591i
\(77\) 0.00100477 + 0.00143496i 0.000114504 + 0.000163529i
\(78\) −11.0728 + 4.88829i −1.25375 + 0.553490i
\(79\) −3.36157 4.00616i −0.378206 0.450729i 0.543041 0.839706i \(-0.317273\pi\)
−0.921247 + 0.388978i \(0.872828\pi\)
\(80\) −3.64738 + 0.273791i −0.407790 + 0.0306108i
\(81\) −0.828138 8.96182i −0.0920153 0.995758i
\(82\) −18.2876 18.2876i −2.01953 2.01953i
\(83\) 15.9554 + 1.39592i 1.75134 + 0.153222i 0.917224 0.398372i \(-0.130425\pi\)
0.834113 + 0.551594i \(0.185980\pi\)
\(84\) 0.00296416 + 0.00114854i 0.000323416 + 0.000125316i
\(85\) 9.65872 + 11.8037i 1.04764 + 1.28029i
\(86\) 6.54134 + 17.9722i 0.705371 + 1.93799i
\(87\) 8.88163 + 4.36647i 0.952211 + 0.468135i
\(88\) 4.06424 + 2.84581i 0.433249 + 0.303364i
\(89\) −2.99426 5.18621i −0.317391 0.549737i 0.662552 0.749016i \(-0.269473\pi\)
−0.979943 + 0.199279i \(0.936140\pi\)
\(90\) 13.5699 + 5.77892i 1.43039 + 0.609152i
\(91\) 0.00102910 0.00178245i 0.000107879 0.000186852i
\(92\) 13.1257 6.12062i 1.36845 0.638118i
\(93\) −9.15278 + 2.25151i −0.949099 + 0.233470i
\(94\) −0.994737 + 1.18548i −0.102599 + 0.122273i
\(95\) −2.29565 + 3.19390i −0.235529 + 0.327687i
\(96\) −12.5802 0.259149i −1.28396 0.0264492i
\(97\) 3.55678 + 7.62753i 0.361136 + 0.774459i 0.999987 + 0.00512815i \(0.00163235\pi\)
−0.638851 + 0.769331i \(0.720590\pi\)
\(98\) 14.8663 3.98342i 1.50173 0.402386i
\(99\) 3.76482 + 7.18927i 0.378378 + 0.722549i
\(100\) −11.0771 + 8.83821i −1.10771 + 0.883821i
\(101\) 11.3335 1.99841i 1.12773 0.198849i 0.421496 0.906830i \(-0.361505\pi\)
0.706231 + 0.707981i \(0.250394\pi\)
\(102\) 14.4574 + 21.5799i 1.43149 + 2.13673i
\(103\) 2.89813 6.21507i 0.285562 0.612389i −0.710237 0.703963i \(-0.751412\pi\)
0.995798 + 0.0915740i \(0.0291898\pi\)
\(104\) 1.01227 5.74088i 0.0992615 0.562940i
\(105\) −0.00244263 0.000568991i −0.000238376 5.55279e-5i
\(106\) −13.6672 + 11.4682i −1.32748 + 1.11389i
\(107\) 9.67551 9.67551i 0.935367 0.935367i −0.0626673 0.998034i \(-0.519961\pi\)
0.998034 + 0.0626673i \(0.0199607\pi\)
\(108\) 12.9373 + 7.03617i 1.24489 + 0.677056i
\(109\) 3.73835i 0.358069i −0.983843 0.179034i \(-0.942703\pi\)
0.983843 0.179034i \(-0.0572974\pi\)
\(110\) −13.2985 0.164136i −1.26796 0.0156498i
\(111\) 0.284832 + 0.354008i 0.0270351 + 0.0336010i
\(112\) 0.000867696 0 0.000607567i 8.19895e−5 0 5.74097e-5i
\(113\) 1.01289 + 0.472320i 0.0952851 + 0.0444322i 0.469676 0.882839i \(-0.344371\pi\)
−0.374391 + 0.927271i \(0.622148\pi\)
\(114\) −4.41068 + 5.04180i −0.413098 + 0.472208i
\(115\) −5.83480 + 9.82414i −0.544098 + 0.916106i
\(116\) −14.0249 + 8.09728i −1.30218 + 0.751814i
\(117\) 5.78608 7.57878i 0.534923 0.700658i
\(118\) −1.27897 4.77320i −0.117739 0.439408i
\(119\) −0.00415058 0.00151069i −0.000380483 0.000138484i
\(120\) −5.94987 + 3.88056i −0.543146 + 0.354245i
\(121\) 2.82079 + 2.36692i 0.256435 + 0.215175i
\(122\) −14.4215 + 1.26171i −1.30566 + 0.114230i
\(123\) 19.5667 + 5.67730i 1.76427 + 0.511905i
\(124\) 5.27510 14.4932i 0.473718 1.30153i
\(125\) 3.29146 10.6849i 0.294397 0.955683i
\(126\) −0.00423348 0.000567858i −0.000377148 5.05889e-5i
\(127\) 2.70398 10.0914i 0.239940 0.895467i −0.735920 0.677068i \(-0.763250\pi\)
0.975860 0.218398i \(-0.0700832\pi\)
\(128\) 7.68398 10.9739i 0.679175 0.969962i
\(129\) −11.3397 9.92024i −0.998409 0.873429i
\(130\) 6.42854 + 14.2424i 0.563820 + 1.24914i
\(131\) −14.3376 2.52811i −1.25269 0.220882i −0.492341 0.870402i \(-0.663859\pi\)
−0.760345 + 0.649520i \(0.774970\pi\)
\(132\) −13.2022 1.42958i −1.14910 0.124429i
\(133\) 9.92788e−5 0.00113476i 8.60857e−6 9.83964e-5i
\(134\) 5.45513 0.471251
\(135\) −11.5604 + 1.16459i −0.994964 + 0.100232i
\(136\) −12.5102 −1.07274
\(137\) 0.637262 7.28394i 0.0544450 0.622309i −0.919132 0.393950i \(-0.871108\pi\)
0.973577 0.228359i \(-0.0733361\pi\)
\(138\) −11.4877 + 15.7074i −0.977896 + 1.33710i
\(139\) −3.00586 0.530014i −0.254953 0.0449552i 0.0447106 0.999000i \(-0.485763\pi\)
−0.299664 + 0.954045i \(0.596875\pi\)
\(140\) 0.00145112 0.00383882i 0.000122642 0.000324440i
\(141\) 0.236376 1.19597i 0.0199065 0.100718i
\(142\) −15.1905 + 21.6943i −1.27476 + 1.82054i
\(143\) −2.22528 + 8.30486i −0.186087 + 0.694487i
\(144\) 4.34724 2.27652i 0.362270 0.189710i
\(145\) 5.54225 11.5123i 0.460259 0.956043i
\(146\) 1.09074 2.99678i 0.0902701 0.248015i
\(147\) −8.74796 + 8.39483i −0.721520 + 0.692394i
\(148\) −0.740664 + 0.0647997i −0.0608822 + 0.00532650i
\(149\) 7.76525 + 6.51582i 0.636154 + 0.533797i 0.902834 0.429988i \(-0.141482\pi\)
−0.266680 + 0.963785i \(0.585927\pi\)
\(150\) 7.31569 17.5797i 0.597324 1.43537i
\(151\) 17.4779 + 6.36142i 1.42233 + 0.517685i 0.934722 0.355379i \(-0.115648\pi\)
0.487605 + 0.873064i \(0.337870\pi\)
\(152\) −0.835020 3.11634i −0.0677291 0.252768i
\(153\) −18.1734 9.40419i −1.46923 0.760284i
\(154\) 0.00333555 0.00192578i 0.000268786 0.000155184i
\(155\) 3.00413 + 11.7918i 0.241297 + 0.947139i
\(156\) 5.03323 + 14.7682i 0.402981 + 1.18240i
\(157\) −0.293204 0.136723i −0.0234002 0.0109117i 0.410883 0.911688i \(-0.365220\pi\)
−0.434283 + 0.900776i \(0.642998\pi\)
\(158\) −9.41892 + 6.59520i −0.749329 + 0.524686i
\(159\) 5.07803 13.1054i 0.402714 1.03933i
\(160\) −0.200481 + 16.2432i −0.0158494 + 1.28413i
\(161\) 0.00330906i 0.000260790i
\(162\) −19.7879 + 0.0965494i −1.55468 + 0.00758564i
\(163\) −3.86594 + 3.86594i −0.302804 + 0.302804i −0.842110 0.539306i \(-0.818687\pi\)
0.539306 + 0.842110i \(0.318687\pi\)
\(164\) −25.5384 + 21.4292i −1.99421 + 1.67334i
\(165\) 9.24087 4.93681i 0.719401 0.384330i
\(166\) 6.11500 34.6799i 0.474616 2.69168i
\(167\) −7.78235 + 16.6893i −0.602217 + 1.29146i 0.334838 + 0.942276i \(0.391318\pi\)
−0.937055 + 0.349182i \(0.886459\pi\)
\(168\) 0.000907620 0.00184614i 7.00244e−5 0.000142433i
\(169\) −2.85412 + 0.503259i −0.219548 + 0.0387122i
\(170\) 27.7046 18.8937i 2.12484 1.44908i
\(171\) 1.12960 5.15478i 0.0863828 0.394196i
\(172\) 23.8136 6.38085i 1.81577 0.486535i
\(173\) 1.25855 + 2.69896i 0.0956855 + 0.205198i 0.948324 0.317302i \(-0.102777\pi\)
−0.852639 + 0.522501i \(0.824999\pi\)
\(174\) 11.2659 18.6168i 0.854066 1.41134i
\(175\) 0.000760571 0.00314725i 5.74937e−5 0.000237910i
\(176\) −2.84428 + 3.38968i −0.214395 + 0.255506i
\(177\) 2.69536 + 2.80875i 0.202596 + 0.211118i
\(178\) −11.9332 + 5.56454i −0.894431 + 0.417080i
\(179\) −8.26245 + 14.3110i −0.617564 + 1.06965i 0.372365 + 0.928087i \(0.378547\pi\)
−0.989929 + 0.141566i \(0.954786\pi\)
\(180\) 8.94547 16.7764i 0.666756 1.25044i
\(181\) 4.81540 + 8.34051i 0.357926 + 0.619945i 0.987614 0.156902i \(-0.0501508\pi\)
−0.629688 + 0.776848i \(0.716817\pi\)
\(182\) −0.00370692 0.00259561i −0.000274775 0.000192400i
\(183\) 9.47449 6.34738i 0.700374 0.469212i
\(184\) −3.20550 8.80705i −0.236313 0.649264i
\(185\) 0.453971 0.371477i 0.0333766 0.0273115i
\(186\) 3.17758 + 20.4789i 0.232992 + 1.50159i
\(187\) 18.3810 + 1.60813i 1.34415 + 0.117598i
\(188\) 1.41056 + 1.41056i 0.102876 + 0.102876i
\(189\) 0.00270628 0.00199960i 0.000196853 0.000145449i
\(190\) 6.55572 + 5.64023i 0.475602 + 0.409185i
\(191\) 0.797244 + 0.950119i 0.0576866 + 0.0687482i 0.794116 0.607766i \(-0.207934\pi\)
−0.736430 + 0.676514i \(0.763490\pi\)
\(192\) −2.36831 + 21.8714i −0.170918 + 1.57843i
\(193\) 10.1567 + 14.5052i 0.731093 + 1.04411i 0.996791 + 0.0800524i \(0.0255088\pi\)
−0.265698 + 0.964056i \(0.585602\pi\)
\(194\) 17.3883 6.32881i 1.24840 0.454382i
\(195\) −9.84549 7.38878i −0.705050 0.529121i
\(196\) −3.44506 19.5379i −0.246076 1.39557i
\(197\) −16.4067 4.39615i −1.16893 0.313213i −0.378401 0.925642i \(-0.623526\pi\)
−0.790526 + 0.612429i \(0.790193\pi\)
\(198\) 16.4682 6.86847i 1.17034 0.488121i
\(199\) −9.13371 5.27335i −0.647472 0.373818i 0.140015 0.990149i \(-0.455285\pi\)
−0.787487 + 0.616331i \(0.788618\pi\)
\(200\) 5.07302 + 7.63963i 0.358717 + 0.540204i
\(201\) −3.76510 + 2.07159i −0.265570 + 0.146118i
\(202\) −2.20532 25.2069i −0.155166 1.77355i
\(203\) 0.000322495 0.00368613i 2.26347e−5 0.000258716i
\(204\) 29.3358 16.1408i 2.05392 1.13008i
\(205\) 7.12059 25.3202i 0.497324 1.76844i
\(206\) −13.0576 7.53880i −0.909765 0.525253i
\(207\) 1.96387 15.2036i 0.136498 1.05672i
\(208\) 5.02181 + 1.34559i 0.348200 + 0.0932999i
\(209\) 0.826290 + 4.68612i 0.0571557 + 0.324146i
\(210\) 0.000778193 0.00545916i 5.37004e−5 0.000376718i
\(211\) 0.169003 0.0615119i 0.0116346 0.00423465i −0.336196 0.941792i \(-0.609141\pi\)
0.347831 + 0.937557i \(0.386918\pi\)
\(212\) 13.1912 + 18.8390i 0.905978 + 1.29387i
\(213\) 2.24600 20.7419i 0.153894 1.42121i
\(214\) −19.3383 23.0465i −1.32194 1.57543i
\(215\) −12.6857 + 14.7448i −0.865157 + 1.00558i
\(216\) 5.26574 7.94351i 0.358288 0.540488i
\(217\) −0.00249185 0.00249185i −0.000169158 0.000169158i
\(218\) −8.18815 0.716371i −0.554572 0.0485187i
\(219\) 0.385205 + 2.48257i 0.0260297 + 0.167757i
\(220\) −1.70482 + 17.0586i −0.114939 + 1.15009i
\(221\) −7.41460 20.3715i −0.498760 1.37033i
\(222\) 0.829970 0.556034i 0.0557039 0.0373185i
\(223\) −15.0996 10.5728i −1.01114 0.708010i −0.0542728 0.998526i \(-0.517284\pi\)
−0.956870 + 0.290516i \(0.906173\pi\)
\(224\) −0.00235221 0.00407414i −0.000157163 0.000272215i
\(225\) 1.62663 + 14.9115i 0.108442 + 0.994103i
\(226\) 1.22863 2.12804i 0.0817271 0.141555i
\(227\) −14.1883 + 6.61613i −0.941713 + 0.439128i −0.831963 0.554831i \(-0.812783\pi\)
−0.109750 + 0.993959i \(0.535005\pi\)
\(228\) 5.97884 + 6.23034i 0.395958 + 0.412615i
\(229\) −4.54463 + 5.41608i −0.300318 + 0.357904i −0.895008 0.446050i \(-0.852830\pi\)
0.594690 + 0.803955i \(0.297275\pi\)
\(230\) 20.3998 + 14.6626i 1.34513 + 0.966825i
\(231\) −0.00157086 + 0.00259584i −0.000103355 + 0.000170794i
\(232\) 4.42910 + 9.49823i 0.290785 + 0.623590i
\(233\) 2.20921 0.591957i 0.144730 0.0387804i −0.185726 0.982601i \(-0.559464\pi\)
0.330457 + 0.943821i \(0.392797\pi\)
\(234\) −15.4911 14.1256i −1.01269 0.923421i
\(235\) −1.54645 0.292404i −0.100879 0.0190744i
\(236\) −6.27313 + 1.10612i −0.408346 + 0.0720024i
\(237\) 3.99637 8.12881i 0.259592 0.528023i
\(238\) −0.00410424 + 0.00880157i −0.000266038 + 0.000570521i
\(239\) −1.33675 + 7.58107i −0.0864670 + 0.490379i 0.910563 + 0.413369i \(0.135648\pi\)
−0.997030 + 0.0770092i \(0.975463\pi\)
\(240\) −2.98521 5.58781i −0.192694 0.360691i
\(241\) −7.35154 + 6.16868i −0.473555 + 0.397359i −0.848089 0.529853i \(-0.822247\pi\)
0.374535 + 0.927213i \(0.377802\pi\)
\(242\) 5.72484 5.72484i 0.368007 0.368007i
\(243\) 13.6208 7.58109i 0.873777 0.486327i
\(244\) 18.6609i 1.19464i
\(245\) 10.9305 + 11.2037i 0.698326 + 0.715780i
\(246\) 16.1846 41.7694i 1.03189 2.66312i
\(247\) 4.57972 3.20676i 0.291401 0.204041i
\(248\) −9.04592 4.21818i −0.574416 0.267855i
\(249\) 8.94915 + 26.2581i 0.567129 + 1.66404i
\(250\) −22.7725 9.25685i −1.44026 0.585454i
\(251\) −4.10987 + 2.37283i −0.259413 + 0.149772i −0.624067 0.781371i \(-0.714521\pi\)
0.364654 + 0.931143i \(0.381187\pi\)
\(252\) 0.000253588 0.00550016i 1.59745e−5 0.000346478i
\(253\) 3.57769 + 13.3521i 0.224927 + 0.839440i
\(254\) −21.5852 7.85635i −1.35437 0.492951i
\(255\) −11.9467 + 23.5612i −0.748129 + 1.47546i
\(256\) −3.10423 2.60476i −0.194015 0.162798i
\(257\) −12.0332 + 1.05277i −0.750612 + 0.0656701i −0.456040 0.889959i \(-0.650733\pi\)
−0.294572 + 0.955629i \(0.595177\pi\)
\(258\) −23.9014 + 22.9366i −1.48804 + 1.42797i
\(259\) −5.81013e−5 0 0.000159632i −3.61024e−6 0 9.91906e-6i
\(260\) 19.0114 6.65503i 1.17904 0.412728i
\(261\) −0.705942 + 17.1275i −0.0436967 + 1.06016i
\(262\) −8.28485 + 30.9195i −0.511840 + 1.91021i
\(263\) −4.91225 + 7.01542i −0.302902 + 0.432589i −0.941531 0.336926i \(-0.890613\pi\)
0.638629 + 0.769515i \(0.279502\pi\)
\(264\) −1.66625 + 8.43052i −0.102550 + 0.518863i
\(265\) −16.9726 6.41581i −1.04262 0.394120i
\(266\) −0.00246646 0.000434903i −0.000151228 2.66656e-5i
\(267\) 6.12310 8.37225i 0.374728 0.512374i
\(268\) 0.612870 7.00513i 0.0374370 0.427907i
\(269\) 17.3406 1.05728 0.528638 0.848847i \(-0.322703\pi\)
0.528638 + 0.848847i \(0.322703\pi\)
\(270\) 0.335520 + 25.5441i 0.0204191 + 1.55457i
\(271\) −11.8573 −0.720278 −0.360139 0.932899i \(-0.617271\pi\)
−0.360139 + 0.932899i \(0.617271\pi\)
\(272\) 0.972407 11.1147i 0.0589609 0.673926i
\(273\) 0.00354418 0.000383777i 0.000214504 2.32272e-5i
\(274\) −15.8320 2.79161i −0.956446 0.168647i
\(275\) −6.47166 11.8769i −0.390256 0.716204i
\(276\) 18.8798 + 16.5164i 1.13643 + 0.994172i
\(277\) 11.4745 16.3872i 0.689433 0.984613i −0.309993 0.950739i \(-0.600327\pi\)
0.999426 0.0338740i \(-0.0107845\pi\)
\(278\) −1.73690 + 6.48220i −0.104172 + 0.388776i
\(279\) −9.97002 12.9278i −0.596889 0.773964i
\(280\) −0.00239295 0.00115202i −0.000143006 6.88462e-5i
\(281\) −2.66069 + 7.31019i −0.158724 + 0.436089i −0.993407 0.114641i \(-0.963428\pi\)
0.834683 + 0.550730i \(0.185651\pi\)
\(282\) −2.57424 0.746917i −0.153294 0.0444783i
\(283\) 14.9700 1.30970i 0.889873 0.0778538i 0.366957 0.930238i \(-0.380400\pi\)
0.522916 + 0.852384i \(0.324844\pi\)
\(284\) 26.1518 + 21.9440i 1.55182 + 1.30213i
\(285\) −6.66661 1.40333i −0.394896 0.0831258i
\(286\) 17.7638 + 6.46550i 1.05040 + 0.382313i
\(287\) 0.00197148 + 0.00735767i 0.000116373 + 0.000434310i
\(288\) −8.38936 20.1148i −0.494348 1.18527i
\(289\) −25.5680 + 14.7617i −1.50400 + 0.868336i
\(290\) −24.1534 14.3453i −1.41834 0.842387i
\(291\) −9.59793 + 10.9713i −0.562641 + 0.643150i
\(292\) −3.72573 1.73734i −0.218032 0.101670i
\(293\) 18.4726 12.9347i 1.07918 0.755651i 0.108038 0.994147i \(-0.465543\pi\)
0.971144 + 0.238495i \(0.0766542\pi\)
\(294\) 16.7109 + 20.7695i 0.974602 + 1.21130i
\(295\) 3.59723 3.50951i 0.209439 0.204332i
\(296\) 0.481143i 0.0279659i
\(297\) −8.75797 + 10.9944i −0.508189 + 0.637959i
\(298\) 15.7597 15.7597i 0.912936 0.912936i
\(299\) 12.4415 10.4396i 0.719510 0.603740i
\(300\) −21.7528 11.3694i −1.25590 0.656411i
\(301\) 0.000978160 0.00554742i 5.63802e−5 0.000319748i
\(302\) 17.2827 37.0629i 0.994510 2.13273i
\(303\) 11.0944 + 16.5602i 0.637358 + 0.951360i
\(304\) 2.83362 0.499644i 0.162519 0.0286566i
\(305\) −8.29512 12.1634i −0.474977 0.696477i
\(306\) −24.0806 + 38.0033i −1.37660 + 2.17250i
\(307\) 4.88220 1.30818i 0.278642 0.0746619i −0.116792 0.993156i \(-0.537261\pi\)
0.395434 + 0.918495i \(0.370594\pi\)
\(308\) −0.00209822 0.00449965i −0.000119557 0.000256392i
\(309\) 11.8751 + 0.244625i 0.675553 + 0.0139162i
\(310\) 26.4034 4.32034i 1.49961 0.245379i
\(311\) 12.6744 15.1048i 0.718699 0.856512i −0.275805 0.961214i \(-0.588944\pi\)
0.994504 + 0.104702i \(0.0333888\pi\)
\(312\) 9.80460 2.41185i 0.555076 0.136544i
\(313\) −24.5912 + 11.4671i −1.38998 + 0.648157i −0.966244 0.257629i \(-0.917059\pi\)
−0.423734 + 0.905787i \(0.639281\pi\)
\(314\) −0.355652 + 0.616007i −0.0200706 + 0.0347633i
\(315\) −0.00261022 0.00347237i −0.000147069 0.000195646i
\(316\) 7.41094 + 12.8361i 0.416898 + 0.722089i
\(317\) 0.204479 + 0.143177i 0.0114847 + 0.00804165i 0.579305 0.815111i \(-0.303324\pi\)
−0.567820 + 0.823153i \(0.692213\pi\)
\(318\) −27.7319 13.6338i −1.55513 0.764547i
\(319\) −5.28664 14.5249i −0.295995 0.813240i
\(320\) 28.2602 + 2.82429i 1.57979 + 0.157883i
\(321\) 22.0991 + 8.56286i 1.23345 + 0.477932i
\(322\) −0.00724787 0.000634107i −0.000403908 3.53374e-5i
\(323\) −8.48389 8.48389i −0.472056 0.472056i
\(324\) −2.09913 + 25.4212i −0.116619 + 1.41229i
\(325\) −9.43362 + 12.7888i −0.523283 + 0.709394i
\(326\) 7.72680 + 9.20844i 0.427948 + 0.510009i
\(327\) 5.92347 2.61502i 0.327569 0.144611i
\(328\) 12.3745 + 17.6726i 0.683268 + 0.975808i
\(329\) 0.000428303 0 0.000155890i 2.36131e−5 0 8.59448e-6i
\(330\) −9.04235 21.1864i −0.497765 1.16627i
\(331\) 0.820786 + 4.65491i 0.0451145 + 0.255857i 0.999021 0.0442484i \(-0.0140893\pi\)
−0.953906 + 0.300105i \(0.902978\pi\)
\(332\) −43.8467 11.7487i −2.40640 0.644794i
\(333\) −0.361687 + 0.698953i −0.0198203 + 0.0383024i
\(334\) 35.0635 + 20.2439i 1.91859 + 1.10770i
\(335\) 2.71444 + 4.83849i 0.148306 + 0.264355i
\(336\) 0.00156966 0.000949876i 8.56320e−5 5.18200e-5i
\(337\) 0.943046 + 10.7791i 0.0513710 + 0.587173i 0.977637 + 0.210302i \(0.0674446\pi\)
−0.926266 + 0.376872i \(0.877000\pi\)
\(338\) 0.555366 + 6.34786i 0.0302079 + 0.345278i
\(339\) −0.0398674 + 1.93534i −0.00216530 + 0.105113i
\(340\) −21.1496 37.6991i −1.14700 2.04452i
\(341\) 12.7488 + 7.36051i 0.690385 + 0.398594i
\(342\) −11.0741 3.46198i −0.598820 0.187202i
\(343\) −0.00875706 0.00234645i −0.000472837 0.000126696i
\(344\) −2.77045 15.7120i −0.149373 0.847134i
\(345\) −19.6480 2.37323i −1.05781 0.127771i
\(346\) 6.15274 2.23942i 0.330774 0.120392i
\(347\) 13.7981 + 19.7058i 0.740723 + 1.05786i 0.995855 + 0.0909561i \(0.0289923\pi\)
−0.255132 + 0.966906i \(0.582119\pi\)
\(348\) −22.6408 16.5585i −1.21368 0.887630i
\(349\) −0.752338 0.896601i −0.0402717 0.0479940i 0.745533 0.666469i \(-0.232195\pi\)
−0.785804 + 0.618475i \(0.787751\pi\)
\(350\) 0.00703921 0.00106279i 0.000376262 5.68084e-5i
\(351\) 16.0561 + 3.86669i 0.857012 + 0.206388i
\(352\) 13.8961 + 13.8961i 0.740662 + 0.740662i
\(353\) −20.1919 1.76656i −1.07470 0.0940245i −0.463963 0.885855i \(-0.653573\pi\)
−0.610741 + 0.791830i \(0.709129\pi\)
\(354\) 6.66854 5.36546i 0.354429 0.285171i
\(355\) −26.8007 2.67843i −1.42243 0.142157i
\(356\) 5.80497 + 15.9490i 0.307663 + 0.845296i
\(357\) −0.000509670 0.00763339i −2.69746e−5 0.000404002i
\(358\) 29.7622 + 20.8397i 1.57298 + 1.10141i
\(359\) 13.1082 + 22.7040i 0.691823 + 1.19827i 0.971240 + 0.238102i \(0.0765253\pi\)
−0.279418 + 0.960170i \(0.590141\pi\)
\(360\) −10.3108 6.71316i −0.543427 0.353815i
\(361\) −7.95290 + 13.7748i −0.418574 + 0.724991i
\(362\) 19.1911 8.94895i 1.00866 0.470347i
\(363\) −1.77725 + 6.12527i −0.0932814 + 0.321493i
\(364\) −0.00374959 + 0.00446858i −0.000196532 + 0.000234217i
\(365\) 3.20077 0.523737i 0.167536 0.0274136i
\(366\) −12.0872 21.9684i −0.631807 1.14831i
\(367\) −8.86817 19.0178i −0.462914 0.992723i −0.989757 0.142761i \(-0.954402\pi\)
0.526843 0.849963i \(-0.323376\pi\)
\(368\) 8.07380 2.16337i 0.420876 0.112773i
\(369\) 4.69139 + 34.9751i 0.244224 + 1.82073i
\(370\) −0.726657 1.06552i −0.0377771 0.0553940i
\(371\) 0.00517492 0.000912477i 0.000268668 4.73735e-5i
\(372\) 26.6547 1.77970i 1.38198 0.0922730i
\(373\) −0.710169 + 1.52296i −0.0367712 + 0.0788560i −0.923835 0.382790i \(-0.874963\pi\)
0.887064 + 0.461646i \(0.152741\pi\)
\(374\) 7.04459 39.9519i 0.364267 2.06586i
\(375\) 19.2327 2.25881i 0.993174 0.116644i
\(376\) 0.988917 0.829800i 0.0509995 0.0427937i
\(377\) −12.8418 + 12.8418i −0.661386 + 0.661386i
\(378\) −0.00386115 0.00631078i −0.000198596 0.000324592i
\(379\) 11.6637i 0.599126i −0.954077 0.299563i \(-0.903159\pi\)
0.954077 0.299563i \(-0.0968408\pi\)
\(380\) 7.97935 7.78478i 0.409332 0.399351i
\(381\) 17.8814 2.77455i 0.916093 0.142144i
\(382\) 2.23383 1.56415i 0.114293 0.0800286i
\(383\) 9.54105 + 4.44907i 0.487525 + 0.227337i 0.650808 0.759243i \(-0.274430\pi\)
−0.163283 + 0.986579i \(0.552208\pi\)
\(384\) 22.7633 + 4.49904i 1.16163 + 0.229591i
\(385\) 0.00336784 + 0.00200024i 0.000171641 + 0.000101942i
\(386\) 33.7173 19.4667i 1.71616 0.990828i
\(387\) 7.78649 24.9073i 0.395809 1.26611i
\(388\) −6.17353 23.0399i −0.313414 1.16968i
\(389\) −36.8621 13.4167i −1.86898 0.680254i −0.970427 0.241396i \(-0.922395\pi\)
−0.898557 0.438858i \(-0.855383\pi\)
\(390\) −18.0704 + 20.1488i −0.915030 + 1.02027i
\(391\) −26.6998 22.4038i −1.35027 1.13301i
\(392\) −12.7900 + 1.11898i −0.645990 + 0.0565168i
\(393\) −6.02351 24.4866i −0.303846 1.23519i
\(394\) −12.7729 + 35.0933i −0.643491 + 1.76798i
\(395\) −10.5365 5.07248i −0.530148 0.255224i
\(396\) −6.96989 21.9191i −0.350250 1.10147i
\(397\) 2.69699 10.0653i 0.135358 0.505162i −0.864638 0.502395i \(-0.832452\pi\)
0.999996 0.00276748i \(-0.000880917\pi\)
\(398\) −13.3006 + 18.9952i −0.666697 + 0.952141i
\(399\) 0.00186749 0.000636470i 9.34916e−5 3.18634e-5i
\(400\) −7.18177 + 3.91331i −0.359088 + 0.195665i
\(401\) 26.3401 + 4.64448i 1.31536 + 0.231934i 0.786931 0.617041i \(-0.211669\pi\)
0.528433 + 0.848975i \(0.322780\pi\)
\(402\) 3.81592 + 8.64373i 0.190321 + 0.431110i
\(403\) 1.50746 17.2304i 0.0750921 0.858306i
\(404\) −32.6169 −1.62275
\(405\) −9.93196 17.5030i −0.493523 0.869733i
\(406\) 0.00813559 0.000403762
\(407\) 0.0618489 0.706936i 0.00306574 0.0350415i
\(408\) −8.75099 19.8225i −0.433239 0.981361i
\(409\) 33.6400 + 5.93165i 1.66339 + 0.293301i 0.924687 0.380727i \(-0.124326\pi\)
0.738705 + 0.674028i \(0.235438\pi\)
\(410\) −54.0947 20.4484i −2.67154 1.00987i
\(411\) 11.9873 4.08545i 0.591289 0.201520i
\(412\) −11.1478 + 15.9208i −0.549214 + 0.784359i
\(413\) −0.000376692 0.00140583i −1.85358e−5 6.91766e-5i
\(414\) −32.9243 7.21491i −1.61814 0.354594i
\(415\) 33.8025 11.8327i 1.65930 0.580847i
\(416\) 7.89716 21.6973i 0.387190 1.06380i
\(417\) −1.26282 5.13357i −0.0618403 0.251392i
\(418\) 10.4224 0.911843i 0.509777 0.0445997i
\(419\) −12.2431 10.2731i −0.598112 0.501876i 0.292726 0.956196i \(-0.405438\pi\)
−0.890838 + 0.454321i \(0.849882\pi\)
\(420\) 0.00709774 0.000385984i 0.000346334 1.88341e-5i
\(421\) 29.9345 + 10.8953i 1.45892 + 0.531002i 0.945067 0.326878i \(-0.105997\pi\)
0.513850 + 0.857880i \(0.328219\pi\)
\(422\) −0.102345 0.381956i −0.00498206 0.0185933i
\(423\) 2.06037 0.462050i 0.100179 0.0224656i
\(424\) 12.8891 7.44152i 0.625950 0.361392i
\(425\) 30.5436 + 15.1715i 1.48158 + 0.735924i
\(426\) −45.0008 8.89416i −2.18030 0.430924i
\(427\) 0.00386425 + 0.00180193i 0.000187004 + 8.72015e-5i
\(428\) −31.7675 + 22.2438i −1.53554 + 1.07520i
\(429\) −14.7158 + 2.28335i −0.710484 + 0.110241i
\(430\) 29.8647 + 30.6111i 1.44020 + 1.47620i
\(431\) 5.93676i 0.285963i 0.989725 + 0.142982i \(0.0456690\pi\)
−0.989725 + 0.142982i \(0.954331\pi\)
\(432\) 6.64813 + 5.29580i 0.319858 + 0.254794i
\(433\) −7.73933 + 7.73933i −0.371929 + 0.371929i −0.868179 0.496251i \(-0.834710\pi\)
0.496251 + 0.868179i \(0.334710\pi\)
\(434\) −0.00593543 + 0.00498042i −0.000284910 + 0.000239068i
\(435\) 22.1182 + 0.728809i 1.06049 + 0.0349437i
\(436\) −1.83984 + 10.4342i −0.0881122 + 0.499709i
\(437\) 3.79875 8.14644i 0.181719 0.389697i
\(438\) 5.51142 0.367990i 0.263346 0.0175832i
\(439\) 28.6483 5.05146i 1.36731 0.241093i 0.558665 0.829394i \(-0.311314\pi\)
0.808642 + 0.588300i \(0.200203\pi\)
\(440\) 10.9011 + 2.06120i 0.519691 + 0.0982637i
\(441\) −19.4210 7.98900i −0.924810 0.380428i
\(442\) −46.0407 + 12.3366i −2.18993 + 0.586791i
\(443\) −11.4725 24.6030i −0.545077 1.16892i −0.965214 0.261461i \(-0.915796\pi\)
0.420137 0.907461i \(-0.361982\pi\)
\(444\) −0.620778 1.12826i −0.0294608 0.0535450i
\(445\) −10.8734 7.81540i −0.515449 0.370485i
\(446\) −26.0513 + 31.0468i −1.23357 + 1.47011i
\(447\) −4.89253 + 16.8620i −0.231409 + 0.797547i
\(448\) −0.00745435 + 0.00347602i −0.000352185 + 0.000164227i
\(449\) 1.73698 3.00854i 0.0819733 0.141982i −0.822124 0.569308i \(-0.807211\pi\)
0.904097 + 0.427326i \(0.140544\pi\)
\(450\) 32.9726 0.705363i 1.55435 0.0332512i
\(451\) −15.9099 27.5568i −0.749169 1.29760i
\(452\) −2.59467 1.81681i −0.122043 0.0854554i
\(453\) 2.14620 + 32.1438i 0.100837 + 1.51025i
\(454\) 11.7725 + 32.3447i 0.552511 + 1.51801i
\(455\) 0.000457667 0.00457946i 2.14557e−5 0.000214688i
\(456\) 4.35378 3.50301i 0.203884 0.164044i
\(457\) −23.5029 2.05624i −1.09942 0.0961868i −0.477025 0.878890i \(-0.658285\pi\)
−0.622395 + 0.782703i \(0.713840\pi\)
\(458\) 10.9920 + 10.9920i 0.513624 + 0.513624i
\(459\) 2.18858 35.3743i 0.102154 1.65113i
\(460\) 21.1207 24.5489i 0.984757 1.14460i
\(461\) 5.14645 + 6.13330i 0.239694 + 0.285656i 0.872459 0.488688i \(-0.162524\pi\)
−0.632765 + 0.774344i \(0.718080\pi\)
\(462\) 0.00538467 + 0.00393812i 0.000250518 + 0.000183218i
\(463\) −1.35473 1.93475i −0.0629594 0.0899154i 0.786438 0.617670i \(-0.211923\pi\)
−0.849397 + 0.527754i \(0.823034\pi\)
\(464\) −8.78299 + 3.19675i −0.407740 + 0.148405i
\(465\) −16.5828 + 13.0086i −0.769011 + 0.603258i
\(466\) −0.873225 4.95230i −0.0404514 0.229411i
\(467\) 19.8687 + 5.32380i 0.919414 + 0.246356i 0.687335 0.726341i \(-0.258780\pi\)
0.232079 + 0.972697i \(0.425447\pi\)
\(468\) −19.8796 + 18.3057i −0.918936 + 0.846183i
\(469\) −0.00139143 0.000803341i −6.42501e−5 3.70948e-5i
\(470\) −0.936800 + 3.33118i −0.0432114 + 0.153656i
\(471\) 0.0115405 0.560224i 0.000531757 0.0258138i
\(472\) 0.359274 + 4.10653i 0.0165369 + 0.189018i
\(473\) 2.05087 + 23.4415i 0.0942989 + 1.07784i
\(474\) −17.0388 10.3110i −0.782619 0.473600i
\(475\) −1.74058 + 8.62122i −0.0798632 + 0.395569i
\(476\) 0.0108413 + 0.00625924i 0.000496911 + 0.000286892i
\(477\) 24.3179 1.12119i 1.11344 0.0513356i
\(478\) 16.3488 + 4.38064i 0.747775 + 0.200366i
\(479\) −3.74161 21.2197i −0.170958 0.969553i −0.942706 0.333624i \(-0.891728\pi\)
0.771748 0.635929i \(-0.219383\pi\)
\(480\) −25.8778 + 11.0446i −1.18115 + 0.504115i
\(481\) −0.783491 + 0.285167i −0.0357241 + 0.0130025i
\(482\) 12.1026 + 17.2843i 0.551257 + 0.787277i
\(483\) 0.00524325 0.00231472i 0.000238576 0.000105324i
\(484\) −6.70831 7.99465i −0.304923 0.363393i
\(485\) 14.2657 + 12.2735i 0.647772 + 0.557312i
\(486\) −13.9948 31.2866i −0.634818 1.41919i
\(487\) 2.20133 + 2.20133i 0.0997518 + 0.0997518i 0.755221 0.655470i \(-0.227529\pi\)
−0.655470 + 0.755221i \(0.727529\pi\)
\(488\) 12.0302 + 1.05251i 0.544583 + 0.0476449i
\(489\) −8.82991 3.42137i −0.399302 0.154720i
\(490\) 26.6342 21.7943i 1.20321 0.984568i
\(491\) −2.81965 7.74693i −0.127249 0.349614i 0.859666 0.510857i \(-0.170672\pi\)
−0.986915 + 0.161243i \(0.948450\pi\)
\(492\) −51.8193 25.4759i −2.33619 1.14854i
\(493\) 31.9257 + 22.3546i 1.43786 + 1.00680i
\(494\) −6.14620 10.6455i −0.276530 0.478965i
\(495\) 14.2865 + 11.1889i 0.642132 + 0.502905i
\(496\) 4.45078 7.70898i 0.199846 0.346144i
\(497\) 0.00706937 0.00329650i 0.000317105 0.000147868i
\(498\) 59.2283 14.5697i 2.65408 0.652882i
\(499\) −16.9583 + 20.2101i −0.759156 + 0.904727i −0.997794 0.0663815i \(-0.978855\pi\)
0.238638 + 0.971109i \(0.423299\pi\)
\(500\) −14.4455 + 28.2030i −0.646022 + 1.26127i
\(501\) −31.8883 0.656890i −1.42466 0.0293477i
\(502\) 4.40968 + 9.45659i 0.196814 + 0.422068i
\(503\) 7.51109 2.01259i 0.334903 0.0897370i −0.0874487 0.996169i \(-0.527871\pi\)
0.422352 + 0.906432i \(0.361205\pi\)
\(504\) 0.00356013 0.000146738i 0.000158581 6.53622e-6i
\(505\) 21.2602 14.4988i 0.946066 0.645190i
\(506\) 29.9309 5.27762i 1.33059 0.234619i
\(507\) −2.79391 4.17036i −0.124082 0.185212i
\(508\) −12.5137 + 26.8357i −0.555204 + 1.19064i
\(509\) 5.25087 29.7791i 0.232741 1.31994i −0.614580 0.788855i \(-0.710674\pi\)
0.847320 0.531082i \(-0.178215\pi\)
\(510\) 49.3170 + 30.6819i 2.18379 + 1.35862i
\(511\) −0.000719528 0 0.000603755i −3.18300e−5 0 2.67086e-5i
\(512\) 12.6456 12.6456i 0.558861 0.558861i
\(513\) 8.95800 1.81596i 0.395505 0.0801765i
\(514\) 26.5583i 1.17144i
\(515\) 0.189245 15.3328i 0.00833913 0.675645i
\(516\) 26.7684 + 33.2696i 1.17842 + 1.46461i
\(517\) −1.55967 + 1.09209i −0.0685940 + 0.0480300i
\(518\) 0.000338510 0 0.000157850i 1.48733e−5 0 6.93553e-6i
\(519\) −3.39618 + 3.88214i −0.149076 + 0.170407i
\(520\) −3.21807 12.6316i −0.141122 0.553930i
\(521\) 2.44020 1.40885i 0.106907 0.0617227i −0.445593 0.895236i \(-0.647007\pi\)
0.552500 + 0.833513i \(0.313674\pi\)
\(522\) 37.3792 + 4.82833i 1.63604 + 0.211330i
\(523\) −3.41584 12.7481i −0.149364 0.557436i −0.999522 0.0309077i \(-0.990160\pi\)
0.850158 0.526528i \(-0.176506\pi\)
\(524\) 38.7741 + 14.1126i 1.69385 + 0.616512i
\(525\) −0.00445484 + 0.00340667i −0.000194425 + 0.000148679i
\(526\) 14.4246 + 12.1037i 0.628944 + 0.527747i
\(527\) −36.9769 + 3.23506i −1.61074 + 0.140921i
\(528\) −7.36059 2.13568i −0.320329 0.0929435i
\(529\) 1.06428 2.92409i 0.0462731 0.127134i
\(530\) −17.3051 + 35.9458i −0.751683 + 1.56138i
\(531\) −2.56506 + 6.23559i −0.111314 + 0.270602i
\(532\) −0.000835576 0.00311841i −3.62268e−5 0.000135200i
\(533\) −21.4438 + 30.6249i −0.928834 + 1.32651i
\(534\) −17.1645 15.0159i −0.742780 0.649800i
\(535\) 10.8187 28.6201i 0.467734 1.23736i
\(536\) −4.48148 0.790206i −0.193570 0.0341317i
\(537\) −28.4556 3.08127i −1.22795 0.132967i
\(538\) 3.32294 37.9814i 0.143262 1.63749i
\(539\) 18.9359 0.815627
\(540\) 32.8399 + 2.43896i 1.41320 + 0.104956i
\(541\) −11.4416 −0.491911 −0.245956 0.969281i \(-0.579102\pi\)
−0.245956 + 0.969281i \(0.579102\pi\)
\(542\) −2.27218 + 25.9711i −0.0975985 + 1.11556i
\(543\) −9.84723 + 13.4643i −0.422585 + 0.577810i
\(544\) −48.7984 8.60448i −2.09222 0.368914i
\(545\) −3.43898 7.61904i −0.147310 0.326364i
\(546\) 0.00151975 0.00768933i 6.50395e−5 0.000329073i
\(547\) −18.3834 + 26.2542i −0.786018 + 1.12255i 0.203632 + 0.979048i \(0.434726\pi\)
−0.989650 + 0.143503i \(0.954163\pi\)
\(548\) −5.36349 + 20.0168i −0.229117 + 0.855076i
\(549\) 16.6850 + 10.5724i 0.712099 + 0.451219i
\(550\) −27.2543 + 11.8990i −1.16213 + 0.507376i
\(551\) −3.43769 + 9.44496i −0.146450 + 0.402369i
\(552\) 11.7126 11.2398i 0.498522 0.478398i
\(553\) 0.00337369 0.000295160i 0.000143464 1.25515e-5i
\(554\) −33.6943 28.2729i −1.43153 1.20120i
\(555\) 0.906168 + 0.459472i 0.0384647 + 0.0195035i
\(556\) 8.12889 + 2.95868i 0.344742 + 0.125476i
\(557\) −7.68893 28.6955i −0.325791 1.21587i −0.913515 0.406806i \(-0.866643\pi\)
0.587724 0.809061i \(-0.300024\pi\)
\(558\) −30.2263 + 19.3601i −1.27958 + 0.819580i
\(559\) 23.9433 13.8237i 1.01269 0.584679i
\(560\) 0.00120951 0.00203648i 5.11113e−5 8.60569e-5i
\(561\) 10.3096 + 30.2498i 0.435271 + 1.27715i
\(562\) 15.5017 + 7.22858i 0.653902 + 0.304919i
\(563\) 4.91264 3.43987i 0.207043 0.144973i −0.465456 0.885071i \(-0.654110\pi\)
0.672499 + 0.740098i \(0.265221\pi\)
\(564\) −1.24835 + 3.22176i −0.0525652 + 0.135661i
\(565\) 2.49885 + 0.0308420i 0.105127 + 0.00129753i
\(566\) 33.0399i 1.38877i
\(567\) 0.00506147 + 0.00288940i 0.000212562 + 0.000121344i
\(568\) 15.6218 15.6218i 0.655475 0.655475i
\(569\) 8.00903 6.72037i 0.335756 0.281733i −0.459284 0.888289i \(-0.651894\pi\)
0.795040 + 0.606557i \(0.207450\pi\)
\(570\) −4.35123 + 14.3330i −0.182253 + 0.600345i
\(571\) −1.98699 + 11.2688i −0.0831531 + 0.471584i 0.914587 + 0.404390i \(0.132516\pi\)
−0.997740 + 0.0671948i \(0.978595\pi\)
\(572\) 10.2983 22.0848i 0.430594 0.923411i
\(573\) −0.947795 + 1.92786i −0.0395947 + 0.0805376i
\(574\) 0.0164934 0.00290823i 0.000688421 0.000121387i
\(575\) −2.85434 + 25.3899i −0.119034 + 1.05883i
\(576\) −36.3122 + 11.5467i −1.51301 + 0.481111i
\(577\) −44.1170 + 11.8211i −1.83662 + 0.492120i −0.998569 0.0534774i \(-0.982969\pi\)
−0.838047 + 0.545597i \(0.816303\pi\)
\(578\) 27.4332 + 58.8308i 1.14107 + 2.44704i
\(579\) −15.8790 + 26.2399i −0.659910 + 1.09049i
\(580\) −21.1349 + 29.4047i −0.877581 + 1.22096i
\(581\) −0.00666682 + 0.00794521i −0.000276586 + 0.000329623i
\(582\) 22.1914 + 23.1249i 0.919862 + 0.958557i
\(583\) −19.8943 + 9.27687i −0.823938 + 0.384209i
\(584\) −1.33016 + 2.30390i −0.0550424 + 0.0953362i
\(585\) 4.82059 20.7688i 0.199307 0.858686i
\(586\) −24.7911 42.9394i −1.02411 1.77381i
\(587\) 22.7446 + 15.9259i 0.938770 + 0.657334i 0.939457 0.342666i \(-0.111330\pi\)
−0.000687603 1.00000i \(0.500219\pi\)
\(588\) 28.5483 19.1257i 1.17731 0.788732i
\(589\) −3.27398 8.99519i −0.134902 0.370640i
\(590\) −6.99760 8.55157i −0.288087 0.352063i
\(591\) −4.51088 29.0718i −0.185553 1.19585i
\(592\) −0.427473 0.0373990i −0.0175690 0.00153709i
\(593\) −12.5526 12.5526i −0.515474 0.515474i 0.400725 0.916199i \(-0.368758\pi\)
−0.916199 + 0.400725i \(0.868758\pi\)
\(594\) 22.4029 + 21.2895i 0.919201 + 0.873519i
\(595\) −0.00984889 0.000739308i −0.000403765 3.03087e-5i
\(596\) −18.4671 22.0082i −0.756441 0.901491i
\(597\) 1.96657 18.1613i 0.0804862 0.743291i
\(598\) −20.4820 29.2513i −0.837570 1.19617i
\(599\) −9.47392 + 3.44823i −0.387094 + 0.140891i −0.528234 0.849099i \(-0.677146\pi\)
0.141140 + 0.989990i \(0.454923\pi\)
\(600\) −8.55647 + 13.3823i −0.349317 + 0.546329i
\(601\) −0.977209 5.54203i −0.0398612 0.226064i 0.958369 0.285533i \(-0.0921705\pi\)
−0.998230 + 0.0594686i \(0.981059\pi\)
\(602\) −0.0119631 0.00320552i −0.000487581 0.000130647i
\(603\) −5.91619 4.51676i −0.240926 0.183937i
\(604\) −45.6522 26.3573i −1.85756 1.07246i
\(605\) 7.92636 + 2.22906i 0.322252 + 0.0906243i
\(606\) 38.3980 21.1269i 1.55981 0.858220i
\(607\) 1.06222 + 12.1412i 0.0431140 + 0.492796i 0.986799 + 0.161950i \(0.0517784\pi\)
−0.943685 + 0.330846i \(0.892666\pi\)
\(608\) −1.11375 12.7303i −0.0451686 0.516280i
\(609\) −0.00561514 + 0.00308949i −0.000227537 + 0.000125192i
\(610\) −28.2313 + 15.8381i −1.14305 + 0.641264i
\(611\) 1.93736 + 1.11853i 0.0783771 + 0.0452511i
\(612\) 46.0960 + 35.1924i 1.86332 + 1.42257i
\(613\) −21.2470 5.69311i −0.858157 0.229942i −0.197197 0.980364i \(-0.563184\pi\)
−0.660960 + 0.750422i \(0.729851\pi\)
\(614\) −1.92976 10.9442i −0.0778789 0.441673i
\(615\) 45.1011 6.42909i 1.81865 0.259246i
\(616\) −0.00301917 + 0.00109889i −0.000121646 + 4.42754e-5i
\(617\) −4.11472 5.87642i −0.165652 0.236576i 0.727740 0.685853i \(-0.240571\pi\)
−0.893393 + 0.449277i \(0.851682\pi\)
\(618\) 2.81141 25.9634i 0.113091 1.04440i
\(619\) 0.611202 + 0.728403i 0.0245663 + 0.0292770i 0.778188 0.628032i \(-0.216139\pi\)
−0.753621 + 0.657309i \(0.771695\pi\)
\(620\) −2.58156 34.3909i −0.103678 1.38117i
\(621\) 25.4640 7.52330i 1.02184 0.301900i
\(622\) −30.6554 30.6554i −1.22917 1.22917i
\(623\) 0.00386323 0.000337988i 0.000154777 1.35412e-5i
\(624\) 1.38071 + 8.89839i 0.0552725 + 0.356221i
\(625\) −3.12097 24.8044i −0.124839 0.992177i
\(626\) 20.4041 + 56.0599i 0.815513 + 2.24060i
\(627\) −6.84723 + 4.58726i −0.273452 + 0.183198i
\(628\) 0.751081 + 0.525913i 0.0299714 + 0.0209862i
\(629\) 0.894651 + 1.54958i 0.0356721 + 0.0617859i
\(630\) −0.00810576 + 0.00505180i −0.000322941 + 0.000201269i
\(631\) −19.0880 + 33.0615i −0.759883 + 1.31616i 0.183027 + 0.983108i \(0.441411\pi\)
−0.942910 + 0.333048i \(0.891923\pi\)
\(632\) 8.69315 4.05368i 0.345795 0.161247i
\(633\) 0.215686 + 0.224759i 0.00857273 + 0.00893335i
\(634\) 0.352787 0.420435i 0.0140110 0.0166976i
\(635\) −3.77236 23.0545i −0.149702 0.914888i
\(636\) −20.6233 + 34.0798i −0.817767 + 1.35135i
\(637\) −9.40257 20.1639i −0.372543 0.798922i
\(638\) −32.8272 + 8.79602i −1.29964 + 0.348238i
\(639\) 34.4369 10.9503i 1.36230 0.433189i
\(640\) 5.56545 29.4342i 0.219994 1.16349i
\(641\) −24.5606 + 4.33069i −0.970084 + 0.171052i −0.636168 0.771551i \(-0.719481\pi\)
−0.333916 + 0.942603i \(0.608370\pi\)
\(642\) 22.9901 46.7631i 0.907348 1.84559i
\(643\) 18.7461 40.2010i 0.739272 1.58537i −0.0697279 0.997566i \(-0.522213\pi\)
0.809000 0.587808i \(-0.200009\pi\)
\(644\) −0.00162856 + 0.00923602i −6.41742e−5 + 0.000363950i
\(645\) −32.2371 9.78653i −1.26933 0.385344i
\(646\) −20.2081 + 16.9566i −0.795078 + 0.667149i
\(647\) −4.55768 + 4.55768i −0.179181 + 0.179181i −0.790999 0.611818i \(-0.790439\pi\)
0.611818 + 0.790999i \(0.290439\pi\)
\(648\) 16.2701 + 2.78707i 0.639148 + 0.109486i
\(649\) 6.07983i 0.238654i
\(650\) 26.2037 + 23.1133i 1.02779 + 0.906577i
\(651\) 0.00220529 0.00569145i 8.64323e−5 0.000223065i
\(652\) 12.6930 8.88773i 0.497096 0.348070i
\(653\) 6.12762 + 2.85735i 0.239792 + 0.111817i 0.538800 0.842434i \(-0.318878\pi\)
−0.299008 + 0.954251i \(0.596656\pi\)
\(654\) −4.59261 13.4754i −0.179585 0.526928i
\(655\) −31.5469 + 8.03701i −1.23264 + 0.314032i
\(656\) −16.6632 + 9.62047i −0.650587 + 0.375616i
\(657\) −3.66421 + 2.34695i −0.142955 + 0.0915631i
\(658\) −0.000259372 0 0.000967991i −1.01114e−5 0 3.77362e-5i
\(659\) 29.5176 + 10.7435i 1.14984 + 0.418508i 0.845458 0.534042i \(-0.179327\pi\)
0.304383 + 0.952550i \(0.401550\pi\)
\(660\) −28.2222 + 9.23138i −1.09855 + 0.359331i
\(661\) −12.6918 10.6497i −0.493654 0.414225i 0.361680 0.932302i \(-0.382203\pi\)
−0.855334 + 0.518078i \(0.826648\pi\)
\(662\) 10.3530 0.905769i 0.402380 0.0352037i
\(663\) 27.0923 25.9986i 1.05218 1.00970i
\(664\) −10.0472 + 27.6043i −0.389905 + 1.07126i
\(665\) −0.000841553 0.00240406i −3.26340e−5 9.32254e-5i
\(666\) 1.46162 + 0.926147i 0.0566365 + 0.0358875i
\(667\) −7.55709 + 28.2034i −0.292612 + 1.09204i
\(668\) 29.9353 42.7520i 1.15823 1.65412i
\(669\) 6.19049 31.3213i 0.239338 1.21095i
\(670\) 11.1180 5.01828i 0.429524 0.193873i
\(671\) −17.5405 3.09287i −0.677144 0.119399i
\(672\) 0.00481014 0.00657701i 0.000185555 0.000253714i
\(673\) 0.682431 7.80022i 0.0263058 0.300676i −0.971633 0.236496i \(-0.924001\pi\)
0.997938 0.0641806i \(-0.0204434\pi\)
\(674\) 23.7902 0.916366
\(675\) −22.4897 + 13.0082i −0.865629 + 0.500686i
\(676\) 8.21392 0.315920
\(677\) −2.64043 + 30.1802i −0.101480 + 1.15992i 0.759229 + 0.650823i \(0.225576\pi\)
−0.860709 + 0.509097i \(0.829979\pi\)
\(678\) 4.23136 + 0.458186i 0.162504 + 0.0175965i
\(679\) −0.00536718 0.000946379i −0.000205974 3.63187e-5i
\(680\) −25.4966 + 11.5083i −0.977751 + 0.441325i
\(681\) −20.4082 17.8536i −0.782045 0.684150i
\(682\) 18.5648 26.5133i 0.710885 1.01525i
\(683\) 8.05741 30.0707i 0.308308 1.15062i −0.621752 0.783214i \(-0.713579\pi\)
0.930060 0.367408i \(-0.119755\pi\)
\(684\) −5.68980 + 13.8317i −0.217555 + 0.528870i
\(685\) −5.40186 15.4314i −0.206394 0.589605i
\(686\) −0.00681755 + 0.0187311i −0.000260295 + 0.000715155i
\(687\) −11.7609 3.41242i −0.448705 0.130192i
\(688\) 14.1747 1.24013i 0.540405 0.0472793i
\(689\) 19.7569 + 16.5780i 0.752679 + 0.631573i
\(690\) −8.96322 + 42.5805i −0.341224 + 1.62101i
\(691\) 6.70424 + 2.44014i 0.255041 + 0.0928274i 0.466377 0.884586i \(-0.345559\pi\)
−0.211336 + 0.977414i \(0.567781\pi\)
\(692\) −2.18447 8.15256i −0.0830411 0.309914i
\(693\) −0.00521198 0.000673238i −0.000197987 2.55742e-5i
\(694\) 45.8059 26.4461i 1.73877 1.00388i
\(695\) −6.61373 + 1.68494i −0.250873 + 0.0639135i
\(696\) −11.9519 + 13.6621i −0.453035 + 0.517860i
\(697\) 72.7146 + 33.9074i 2.75426 + 1.28433i
\(698\) −2.10801 + 1.47604i −0.0797892 + 0.0558690i
\(699\) 2.48333 + 3.08645i 0.0939283 + 0.116740i
\(700\) −0.000573927 0.00915871i −2.16924e−5 0.000346167i
\(701\) 18.1226i 0.684482i 0.939612 + 0.342241i \(0.111186\pi\)
−0.939612 + 0.342241i \(0.888814\pi\)
\(702\) 11.5460 34.4269i 0.435777 1.29936i
\(703\) −0.326292 + 0.326292i −0.0123064 + 0.0123064i
\(704\) 26.3202 22.0853i 0.991981 0.832371i
\(705\) −0.618441 2.65491i −0.0232918 0.0999898i
\(706\) −7.73863 + 43.8880i −0.291247 + 1.65175i
\(707\) −0.00314955 + 0.00675423i −0.000118451 + 0.000254019i
\(708\) −6.14079 9.16611i −0.230785 0.344484i
\(709\) 20.6080 3.63375i 0.773951 0.136469i 0.227296 0.973826i \(-0.427012\pi\)
0.546656 + 0.837357i \(0.315901\pi\)
\(710\) −11.0024 + 58.1886i −0.412911 + 2.18378i
\(711\) 15.6757 + 0.646105i 0.587885 + 0.0242308i
\(712\) 10.6094 2.84277i 0.397603 0.106537i
\(713\) −11.7521 25.2025i −0.440121 0.943842i
\(714\) −0.0168172 0.000346429i −0.000629367 1.29648e-5i
\(715\) 3.10452 + 18.9730i 0.116102 + 0.709550i
\(716\) 30.1048 35.8774i 1.12507 1.34080i
\(717\) −12.9474 + 3.18495i −0.483529 + 0.118944i
\(718\) 52.2408 24.3603i 1.94961 0.909117i
\(719\) −4.36807 + 7.56572i −0.162902 + 0.282154i −0.935908 0.352244i \(-0.885419\pi\)
0.773007 + 0.634398i \(0.218752\pi\)
\(720\) 6.76577 8.63884i 0.252145 0.321950i
\(721\) 0.00222038 + 0.00384581i 8.26912e−5 + 0.000143225i
\(722\) 28.6472 + 20.0590i 1.06614 + 0.746518i
\(723\) −14.9168 7.33357i −0.554763 0.272738i
\(724\) −9.33561 25.6494i −0.346955 0.953252i
\(725\) 0.705142 28.5613i 0.0261883 1.06074i
\(726\) 13.0757 + 5.06650i 0.485284 + 0.188035i
\(727\) 44.6377 + 3.90529i 1.65552 + 0.144839i 0.876253 0.481851i \(-0.160035\pi\)
0.779268 + 0.626690i \(0.215591\pi\)
\(728\) 0.00266931 + 0.00266931i 9.89311e−5 + 9.89311e-5i
\(729\) 21.5403 + 16.2793i 0.797787 + 0.602939i
\(730\) −0.533792 7.11105i −0.0197565 0.263192i
\(731\) −38.1379 45.4510i −1.41058 1.68106i
\(732\) −29.5684 + 13.0535i −1.09288 + 0.482471i
\(733\) 12.9159 + 18.4458i 0.477060 + 0.681312i 0.983489 0.180970i \(-0.0579237\pi\)
−0.506429 + 0.862282i \(0.669035\pi\)
\(734\) −43.3544 + 15.7797i −1.60024 + 0.582440i
\(735\) −10.1064 + 25.1567i −0.372781 + 0.927919i
\(736\) −6.44625 36.5585i −0.237612 1.34756i
\(737\) 6.48298 + 1.73711i 0.238804 + 0.0639873i
\(738\) 77.5054 3.57342i 2.85301 0.131540i
\(739\) 29.3820 + 16.9637i 1.08084 + 0.624020i 0.931122 0.364709i \(-0.118832\pi\)
0.149714 + 0.988729i \(0.452165\pi\)
\(740\) −1.44992 + 0.813418i −0.0533000 + 0.0299018i
\(741\) 8.28471 + 5.01347i 0.304347 + 0.184174i
\(742\) −0.00100695 0.0115095i −3.69664e−5 0.000422528i
\(743\) −2.22992 25.4881i −0.0818078 0.935068i −0.920572 0.390573i \(-0.872277\pi\)
0.838764 0.544495i \(-0.183279\pi\)
\(744\) 0.356047 17.2840i 0.0130533 0.633664i
\(745\) 21.8202 + 6.13631i 0.799430 + 0.224817i
\(746\) 3.19968 + 1.84733i 0.117148 + 0.0676357i
\(747\) −35.3463 + 32.5479i −1.29325 + 1.19086i
\(748\) −50.5122 13.5347i −1.84691 0.494878i
\(749\) 0.00153867 + 0.00872624i 5.62218e−5 + 0.000318850i
\(750\) −1.26198 42.5585i −0.0460809 1.55402i
\(751\) −18.3171 + 6.66687i −0.668400 + 0.243278i −0.653859 0.756617i \(-0.726851\pi\)
−0.0145411 + 0.999894i \(0.504629\pi\)
\(752\) 0.660369 + 0.943105i 0.0240812 + 0.0343915i
\(753\) −6.63468 4.85232i −0.241781 0.176828i
\(754\) 25.6667 + 30.5884i 0.934726 + 1.11396i
\(755\) 41.4732 3.11319i 1.50936 0.113301i
\(756\) −0.00853770 + 0.00424924i −0.000310513 + 0.000154543i
\(757\) 37.3446 + 37.3446i 1.35731 + 1.35731i 0.877215 + 0.480097i \(0.159399\pi\)
0.480097 + 0.877215i \(0.340601\pi\)
\(758\) −25.5472 2.23509i −0.927917 0.0811822i
\(759\) −18.6540 + 15.0088i −0.677096 + 0.544786i
\(760\) −4.56862 5.58318i −0.165721 0.202523i
\(761\) 13.8978 + 38.1838i 0.503793 + 1.38416i 0.887543 + 0.460724i \(0.152410\pi\)
−0.383750 + 0.923437i \(0.625368\pi\)
\(762\) −2.65055 39.6976i −0.0960194 1.43809i
\(763\) 0.00198304 + 0.00138854i 7.17908e−5 + 5.02685e-5i
\(764\) −1.75761 3.04427i −0.0635881 0.110138i
\(765\) −45.6898 2.44837i −1.65192 0.0885209i
\(766\) 11.5732 20.0453i 0.418156 0.724267i
\(767\) −6.47410 + 3.01892i −0.233766 + 0.109007i
\(768\) 1.95584 6.74076i 0.0705751 0.243236i
\(769\) −1.03060 + 1.22823i −0.0371646 + 0.0442910i −0.784307 0.620373i \(-0.786981\pi\)
0.747142 + 0.664664i \(0.231425\pi\)