Properties

Label 144.3.w.a.5.1
Level $144$
Weight $3$
Character 144.5
Analytic conductor $3.924$
Analytic rank $0$
Dimension $184$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 144.w (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.92371580679\)
Analytic rank: \(0\)
Dimension: \(184\)
Relative dimension: \(46\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 5.1
Character \(\chi\) \(=\) 144.5
Dual form 144.3.w.a.29.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.99959 + 0.0402970i) q^{2} +(0.538615 + 2.95125i) q^{3} +(3.99675 - 0.161155i) q^{4} +(-2.08673 - 7.78777i) q^{5} +(-1.19594 - 5.87960i) q^{6} +(-2.60739 + 1.50538i) q^{7} +(-7.98539 + 0.483303i) q^{8} +(-8.41979 + 3.17918i) q^{9} +O(q^{10})\) \(q+(-1.99959 + 0.0402970i) q^{2} +(0.538615 + 2.95125i) q^{3} +(3.99675 - 0.161155i) q^{4} +(-2.08673 - 7.78777i) q^{5} +(-1.19594 - 5.87960i) q^{6} +(-2.60739 + 1.50538i) q^{7} +(-7.98539 + 0.483303i) q^{8} +(-8.41979 + 3.17918i) q^{9} +(4.48643 + 15.4883i) q^{10} +(-5.77989 - 1.54872i) q^{11} +(2.62832 + 11.7086i) q^{12} +(-3.94343 - 14.7171i) q^{13} +(5.15305 - 3.11521i) q^{14} +(21.8597 - 10.3531i) q^{15} +(15.9481 - 1.28820i) q^{16} -23.3509i q^{17} +(16.7080 - 6.69636i) q^{18} +(-8.30523 + 8.30523i) q^{19} +(-9.59517 - 30.7895i) q^{20} +(-5.84712 - 6.88424i) q^{21} +(11.6198 + 2.86389i) q^{22} +(2.08290 - 3.60768i) q^{23} +(-5.72740 - 23.3066i) q^{24} +(-34.6443 + 20.0019i) q^{25} +(8.47832 + 29.2693i) q^{26} +(-13.9176 - 23.1366i) q^{27} +(-10.1785 + 6.43681i) q^{28} +(6.59225 - 24.6026i) q^{29} +(-43.2934 + 21.5828i) q^{30} +(11.4094 - 19.7616i) q^{31} +(-31.8377 + 3.21853i) q^{32} +(1.45752 - 17.8921i) q^{33} +(0.940971 + 46.6922i) q^{34} +(17.1644 + 17.1644i) q^{35} +(-33.1395 + 14.0633i) q^{36} +(27.8343 + 27.8343i) q^{37} +(16.2724 - 16.9418i) q^{38} +(41.3099 - 19.5649i) q^{39} +(20.4272 + 61.1798i) q^{40} +(-36.7431 + 63.6409i) q^{41} +(11.9693 + 13.5301i) q^{42} +(19.0166 - 70.9710i) q^{43} +(-23.3504 - 5.25838i) q^{44} +(42.3285 + 58.9373i) q^{45} +(-4.01957 + 7.29783i) q^{46} +(-39.5925 + 22.8588i) q^{47} +(12.3917 + 46.3729i) q^{48} +(-19.9677 + 34.5851i) q^{49} +(68.4684 - 41.3917i) q^{50} +(68.9143 - 12.5771i) q^{51} +(-18.1327 - 58.1850i) q^{52} +(21.0485 - 21.0485i) q^{53} +(28.7619 + 45.7029i) q^{54} +48.2442i q^{55} +(20.0934 - 13.2812i) q^{56} +(-28.9842 - 20.0375i) q^{57} +(-12.1904 + 49.4609i) q^{58} +(20.6648 + 77.1219i) q^{59} +(85.6995 - 44.9014i) q^{60} +(-51.0660 - 13.6831i) q^{61} +(-22.0177 + 39.9749i) q^{62} +(17.1678 - 20.9643i) q^{63} +(63.5328 - 7.71872i) q^{64} +(-106.384 + 61.4211i) q^{65} +(-2.19345 + 35.8356i) q^{66} +(-12.0068 - 44.8100i) q^{67} +(-3.76312 - 93.3276i) q^{68} +(11.7691 + 4.20400i) q^{69} +(-35.0135 - 33.6302i) q^{70} -82.1279 q^{71} +(65.6988 - 29.4563i) q^{72} -25.3786i q^{73} +(-56.7789 - 54.5356i) q^{74} +(-77.6905 - 91.4707i) q^{75} +(-31.8555 + 34.5324i) q^{76} +(17.4018 - 4.66280i) q^{77} +(-81.8145 + 40.7865i) q^{78} +(45.7098 + 79.1717i) q^{79} +(-43.3114 - 121.512i) q^{80} +(60.7857 - 53.5360i) q^{81} +(70.9068 - 128.737i) q^{82} +(-12.1468 + 45.3324i) q^{83} +(-24.4789 - 26.5723i) q^{84} +(-181.851 + 48.7268i) q^{85} +(-35.1656 + 142.679i) q^{86} +(76.1592 + 6.20406i) q^{87} +(46.9032 + 9.57367i) q^{88} +79.4644 q^{89} +(-87.0148 - 116.145i) q^{90} +(32.4368 + 32.4368i) q^{91} +(7.74342 - 14.7547i) q^{92} +(64.4667 + 23.0280i) q^{93} +(78.2479 - 47.3037i) q^{94} +(82.0099 + 47.3485i) q^{95} +(-26.6470 - 92.2276i) q^{96} +(-57.7693 - 100.059i) q^{97} +(38.5336 - 69.9607i) q^{98} +(53.5891 - 5.33544i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 184q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} - 10q^{6} + O(q^{10}) \) \( 184q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} - 10q^{6} - 8q^{10} - 6q^{11} - 64q^{12} - 2q^{13} - 6q^{14} - 8q^{15} - 2q^{16} + 54q^{18} - 8q^{19} + 120q^{20} - 22q^{21} - 2q^{22} - 160q^{24} + 44q^{27} - 72q^{28} - 6q^{29} - 90q^{30} - 4q^{31} - 6q^{32} - 8q^{33} + 6q^{34} - 202q^{36} - 8q^{37} - 6q^{38} - 2q^{40} + 44q^{42} - 2q^{43} + 46q^{45} - 160q^{46} - 12q^{47} - 118q^{48} + 472q^{49} + 228q^{50} - 48q^{51} - 2q^{52} + 206q^{54} - 300q^{56} - 92q^{58} - 438q^{59} - 90q^{60} - 2q^{61} - 204q^{63} + 244q^{64} - 12q^{65} - 508q^{66} - 2q^{67} - 144q^{68} + 14q^{69} + 96q^{70} + 6q^{72} + 246q^{74} + 152q^{75} - 158q^{76} - 6q^{77} + 304q^{78} - 4q^{79} - 8q^{81} - 388q^{82} - 726q^{83} + 542q^{84} + 48q^{85} + 894q^{86} + 22q^{88} - 528q^{90} - 204q^{91} - 348q^{92} + 62q^{93} - 18q^{94} - 12q^{95} + 262q^{96} - 4q^{97} + 286q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{5}{6}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.99959 + 0.0402970i −0.999797 + 0.0201485i
\(3\) 0.538615 + 2.95125i 0.179538 + 0.983751i
\(4\) 3.99675 0.161155i 0.999188 0.0402889i
\(5\) −2.08673 7.78777i −0.417345 1.55755i −0.780091 0.625665i \(-0.784828\pi\)
0.362746 0.931888i \(-0.381839\pi\)
\(6\) −1.19594 5.87960i −0.199323 0.979934i
\(7\) −2.60739 + 1.50538i −0.372484 + 0.215054i −0.674543 0.738236i \(-0.735659\pi\)
0.302059 + 0.953289i \(0.402326\pi\)
\(8\) −7.98539 + 0.483303i −0.998173 + 0.0604128i
\(9\) −8.41979 + 3.17918i −0.935532 + 0.353242i
\(10\) 4.48643 + 15.4883i 0.448643 + 1.54883i
\(11\) −5.77989 1.54872i −0.525445 0.140793i −0.0136608 0.999907i \(-0.504349\pi\)
−0.511784 + 0.859114i \(0.671015\pi\)
\(12\) 2.62832 + 11.7086i 0.219027 + 0.975719i
\(13\) −3.94343 14.7171i −0.303341 1.13208i −0.934364 0.356320i \(-0.884031\pi\)
0.631023 0.775764i \(-0.282635\pi\)
\(14\) 5.15305 3.11521i 0.368075 0.222515i
\(15\) 21.8597 10.3531i 1.45732 0.690204i
\(16\) 15.9481 1.28820i 0.996754 0.0805123i
\(17\) 23.3509i 1.37358i −0.726856 0.686790i \(-0.759019\pi\)
0.726856 0.686790i \(-0.240981\pi\)
\(18\) 16.7080 6.69636i 0.928225 0.372020i
\(19\) −8.30523 + 8.30523i −0.437117 + 0.437117i −0.891041 0.453923i \(-0.850024\pi\)
0.453923 + 0.891041i \(0.350024\pi\)
\(20\) −9.59517 30.7895i −0.479758 1.53947i
\(21\) −5.84712 6.88424i −0.278434 0.327821i
\(22\) 11.6198 + 2.86389i 0.528175 + 0.130177i
\(23\) 2.08290 3.60768i 0.0905607 0.156856i −0.817187 0.576373i \(-0.804467\pi\)
0.907747 + 0.419518i \(0.137801\pi\)
\(24\) −5.72740 23.3066i −0.238642 0.971108i
\(25\) −34.6443 + 20.0019i −1.38577 + 0.800075i
\(26\) 8.47832 + 29.2693i 0.326089 + 1.12574i
\(27\) −13.9176 23.1366i −0.515466 0.856910i
\(28\) −10.1785 + 6.43681i −0.363517 + 0.229886i
\(29\) 6.59225 24.6026i 0.227319 0.848365i −0.754143 0.656710i \(-0.771948\pi\)
0.981462 0.191656i \(-0.0613857\pi\)
\(30\) −43.2934 + 21.5828i −1.44311 + 0.719427i
\(31\) 11.4094 19.7616i 0.368044 0.637470i −0.621216 0.783639i \(-0.713361\pi\)
0.989260 + 0.146169i \(0.0466943\pi\)
\(32\) −31.8377 + 3.21853i −0.994929 + 0.100579i
\(33\) 1.45752 17.8921i 0.0441673 0.542184i
\(34\) 0.940971 + 46.6922i 0.0276756 + 1.37330i
\(35\) 17.1644 + 17.1644i 0.490412 + 0.490412i
\(36\) −33.1395 + 14.0633i −0.920541 + 0.390647i
\(37\) 27.8343 + 27.8343i 0.752277 + 0.752277i 0.974904 0.222626i \(-0.0714630\pi\)
−0.222626 + 0.974904i \(0.571463\pi\)
\(38\) 16.2724 16.9418i 0.428221 0.445836i
\(39\) 41.3099 19.5649i 1.05923 0.501664i
\(40\) 20.4272 + 61.1798i 0.510679 + 1.52950i
\(41\) −36.7431 + 63.6409i −0.896173 + 1.55222i −0.0638280 + 0.997961i \(0.520331\pi\)
−0.832346 + 0.554257i \(0.813002\pi\)
\(42\) 11.9693 + 13.5301i 0.284983 + 0.322144i
\(43\) 19.0166 70.9710i 0.442247 1.65049i −0.280858 0.959749i \(-0.590619\pi\)
0.723105 0.690738i \(-0.242714\pi\)
\(44\) −23.3504 5.25838i −0.530691 0.119509i
\(45\) 42.3285 + 58.9373i 0.940633 + 1.30972i
\(46\) −4.01957 + 7.29783i −0.0873819 + 0.158648i
\(47\) −39.5925 + 22.8588i −0.842395 + 0.486357i −0.858077 0.513520i \(-0.828341\pi\)
0.0156829 + 0.999877i \(0.495008\pi\)
\(48\) 12.3917 + 46.3729i 0.258160 + 0.966102i
\(49\) −19.9677 + 34.5851i −0.407504 + 0.705817i
\(50\) 68.4684 41.3917i 1.36937 0.827834i
\(51\) 68.9143 12.5771i 1.35126 0.246610i
\(52\) −18.1327 58.1850i −0.348705 1.11894i
\(53\) 21.0485 21.0485i 0.397142 0.397142i −0.480082 0.877224i \(-0.659393\pi\)
0.877224 + 0.480082i \(0.159393\pi\)
\(54\) 28.7619 + 45.7029i 0.532627 + 0.846350i
\(55\) 48.2442i 0.877167i
\(56\) 20.0934 13.2812i 0.358811 0.237164i
\(57\) −28.9842 20.0375i −0.508494 0.351535i
\(58\) −12.1904 + 49.4609i −0.210179 + 0.852773i
\(59\) 20.6648 + 77.1219i 0.350250 + 1.30715i 0.886358 + 0.463001i \(0.153227\pi\)
−0.536108 + 0.844150i \(0.680106\pi\)
\(60\) 85.6995 44.9014i 1.42832 0.748357i
\(61\) −51.0660 13.6831i −0.837147 0.224313i −0.185318 0.982679i \(-0.559331\pi\)
−0.651829 + 0.758366i \(0.725998\pi\)
\(62\) −22.0177 + 39.9749i −0.355125 + 0.644757i
\(63\) 17.1678 20.9643i 0.272504 0.332766i
\(64\) 63.5328 7.71872i 0.992701 0.120605i
\(65\) −106.384 + 61.4211i −1.63668 + 0.944939i
\(66\) −2.19345 + 35.8356i −0.0332341 + 0.542964i
\(67\) −12.0068 44.8100i −0.179206 0.668806i −0.995797 0.0915891i \(-0.970805\pi\)
0.816591 0.577217i \(-0.195861\pi\)
\(68\) −3.76312 93.3276i −0.0553400 1.37246i
\(69\) 11.7691 + 4.20400i 0.170566 + 0.0609275i
\(70\) −35.0135 33.6302i −0.500193 0.480431i
\(71\) −82.1279 −1.15673 −0.578366 0.815778i \(-0.696309\pi\)
−0.578366 + 0.815778i \(0.696309\pi\)
\(72\) 65.6988 29.4563i 0.912483 0.409115i
\(73\) 25.3786i 0.347652i −0.984776 0.173826i \(-0.944387\pi\)
0.984776 0.173826i \(-0.0556130\pi\)
\(74\) −56.7789 54.5356i −0.767282 0.736967i
\(75\) −77.6905 91.4707i −1.03587 1.21961i
\(76\) −31.8555 + 34.5324i −0.419152 + 0.454373i
\(77\) 17.4018 4.66280i 0.225998 0.0605559i
\(78\) −81.8145 + 40.7865i −1.04890 + 0.522904i
\(79\) 45.7098 + 79.1717i 0.578605 + 1.00217i 0.995640 + 0.0932826i \(0.0297360\pi\)
−0.417035 + 0.908891i \(0.636931\pi\)
\(80\) −43.3114 121.512i −0.541393 1.51890i
\(81\) 60.7857 53.5360i 0.750440 0.660938i
\(82\) 70.9068 128.737i 0.864717 1.56996i
\(83\) −12.1468 + 45.3324i −0.146347 + 0.546173i 0.853345 + 0.521346i \(0.174570\pi\)
−0.999692 + 0.0248266i \(0.992097\pi\)
\(84\) −24.4789 26.5723i −0.291416 0.316337i
\(85\) −181.851 + 48.7268i −2.13942 + 0.573257i
\(86\) −35.1656 + 142.679i −0.408902 + 1.65906i
\(87\) 76.1592 + 6.20406i 0.875393 + 0.0713110i
\(88\) 46.9032 + 9.57367i 0.532991 + 0.108792i
\(89\) 79.4644 0.892858 0.446429 0.894819i \(-0.352695\pi\)
0.446429 + 0.894819i \(0.352695\pi\)
\(90\) −87.0148 116.145i −0.966831 1.29050i
\(91\) 32.4368 + 32.4368i 0.356448 + 0.356448i
\(92\) 7.74342 14.7547i 0.0841676 0.160377i
\(93\) 64.4667 + 23.0280i 0.693190 + 0.247613i
\(94\) 78.2479 47.3037i 0.832424 0.503231i
\(95\) 82.0099 + 47.3485i 0.863263 + 0.498405i
\(96\) −26.6470 92.2276i −0.277573 0.960705i
\(97\) −57.7693 100.059i −0.595560 1.03154i −0.993468 0.114114i \(-0.963597\pi\)
0.397908 0.917425i \(-0.369736\pi\)
\(98\) 38.5336 69.9607i 0.393200 0.713885i
\(99\) 53.5891 5.33544i 0.541304 0.0538933i
\(100\) −135.241 + 85.5256i −1.35241 + 0.855256i
\(101\) 73.2561 + 19.6289i 0.725308 + 0.194346i 0.602539 0.798090i \(-0.294156\pi\)
0.122769 + 0.992435i \(0.460823\pi\)
\(102\) −137.294 + 27.9262i −1.34602 + 0.273786i
\(103\) −47.2845 27.2997i −0.459072 0.265046i 0.252582 0.967576i \(-0.418720\pi\)
−0.711654 + 0.702530i \(0.752054\pi\)
\(104\) 38.6026 + 115.616i 0.371179 + 1.11169i
\(105\) −41.4115 + 59.9015i −0.394395 + 0.570491i
\(106\) −41.2403 + 42.9367i −0.389059 + 0.405063i
\(107\) 137.095 137.095i 1.28126 1.28126i 0.341307 0.939952i \(-0.389131\pi\)
0.939952 0.341307i \(-0.110869\pi\)
\(108\) −59.3537 90.2282i −0.549571 0.835447i
\(109\) 113.630 113.630i 1.04247 1.04247i 0.0434170 0.999057i \(-0.486176\pi\)
0.999057 0.0434170i \(-0.0138244\pi\)
\(110\) −1.94410 96.4688i −0.0176736 0.876989i
\(111\) −67.1540 + 97.1379i −0.604991 + 0.875116i
\(112\) −39.6435 + 27.3666i −0.353960 + 0.244345i
\(113\) −11.3738 6.56666i −0.100653 0.0581121i 0.448829 0.893618i \(-0.351841\pi\)
−0.549482 + 0.835506i \(0.685175\pi\)
\(114\) 58.7640 + 38.8989i 0.515474 + 0.341219i
\(115\) −32.4422 8.69286i −0.282106 0.0755901i
\(116\) 22.3827 99.3929i 0.192955 0.856835i
\(117\) 79.9911 + 111.378i 0.683685 + 0.951948i
\(118\) −44.4289 153.380i −0.376516 1.29983i
\(119\) 35.1518 + 60.8847i 0.295393 + 0.511636i
\(120\) −169.555 + 93.2381i −1.41296 + 0.776984i
\(121\) −73.7804 42.5972i −0.609756 0.352043i
\(122\) 102.663 + 25.3028i 0.841497 + 0.207400i
\(123\) −207.611 74.1603i −1.68789 0.602929i
\(124\) 42.4157 80.8208i 0.342062 0.651781i
\(125\) 85.5369 + 85.5369i 0.684296 + 0.684296i
\(126\) −33.4838 + 42.6119i −0.265744 + 0.338189i
\(127\) 90.5005 0.712602 0.356301 0.934371i \(-0.384038\pi\)
0.356301 + 0.934371i \(0.384038\pi\)
\(128\) −126.729 + 17.9945i −0.990069 + 0.140582i
\(129\) 219.696 + 17.8968i 1.70307 + 0.138735i
\(130\) 210.250 127.104i 1.61731 0.977724i
\(131\) −61.2946 + 16.4238i −0.467897 + 0.125373i −0.485062 0.874480i \(-0.661203\pi\)
0.0171642 + 0.999853i \(0.494536\pi\)
\(132\) 2.94194 71.7451i 0.0222874 0.543524i
\(133\) 9.15246 34.1574i 0.0688155 0.256823i
\(134\) 25.8144 + 89.1180i 0.192645 + 0.665060i
\(135\) −151.140 + 156.667i −1.11956 + 1.16049i
\(136\) 11.2855 + 186.466i 0.0829819 + 1.37107i
\(137\) 73.8486 + 127.909i 0.539041 + 0.933646i 0.998956 + 0.0456831i \(0.0145465\pi\)
−0.459915 + 0.887963i \(0.652120\pi\)
\(138\) −23.7027 7.93203i −0.171759 0.0574785i
\(139\) 85.7706 22.9822i 0.617055 0.165339i 0.0632661 0.997997i \(-0.479848\pi\)
0.553788 + 0.832657i \(0.313182\pi\)
\(140\) 71.3680 + 65.8358i 0.509772 + 0.470255i
\(141\) −88.7871 104.536i −0.629696 0.741387i
\(142\) 164.223 3.30951i 1.15650 0.0233064i
\(143\) 91.1704i 0.637556i
\(144\) −130.184 + 61.5481i −0.904055 + 0.427417i
\(145\) −205.356 −1.41624
\(146\) 1.02268 + 50.7469i 0.00700467 + 0.347581i
\(147\) −112.824 40.3017i −0.767511 0.274161i
\(148\) 115.732 + 106.761i 0.781975 + 0.721358i
\(149\) −64.5889 241.049i −0.433482 1.61778i −0.744672 0.667431i \(-0.767394\pi\)
0.311190 0.950348i \(-0.399273\pi\)
\(150\) 159.035 + 179.773i 1.06024 + 1.19849i
\(151\) 199.871 115.396i 1.32365 0.764210i 0.339342 0.940663i \(-0.389796\pi\)
0.984309 + 0.176453i \(0.0564624\pi\)
\(152\) 62.3065 70.3344i 0.409911 0.462726i
\(153\) 74.2365 + 196.609i 0.485206 + 1.28503i
\(154\) −34.6087 + 10.0250i −0.224732 + 0.0650971i
\(155\) −177.707 47.6164i −1.14650 0.307203i
\(156\) 161.952 84.8534i 1.03816 0.543932i
\(157\) −1.58942 5.93179i −0.0101237 0.0377821i 0.960679 0.277661i \(-0.0895591\pi\)
−0.970803 + 0.239878i \(0.922892\pi\)
\(158\) −94.5914 156.469i −0.598680 0.990312i
\(159\) 73.4566 + 50.7825i 0.461991 + 0.319387i
\(160\) 91.5018 + 241.229i 0.571886 + 1.50768i
\(161\) 12.5422i 0.0779016i
\(162\) −119.389 + 109.500i −0.736971 + 0.675925i
\(163\) −129.554 + 129.554i −0.794811 + 0.794811i −0.982272 0.187461i \(-0.939974\pi\)
0.187461 + 0.982272i \(0.439974\pi\)
\(164\) −136.597 + 260.278i −0.832909 + 1.58706i
\(165\) −142.381 + 25.9851i −0.862914 + 0.157485i
\(166\) 22.4618 91.1358i 0.135312 0.549011i
\(167\) −141.391 + 244.897i −0.846653 + 1.46645i 0.0375246 + 0.999296i \(0.488053\pi\)
−0.884178 + 0.467151i \(0.845281\pi\)
\(168\) 50.0187 + 52.1474i 0.297730 + 0.310401i
\(169\) −54.6837 + 31.5717i −0.323572 + 0.186815i
\(170\) 361.665 104.762i 2.12744 0.616247i
\(171\) 43.5245 96.3321i 0.254529 0.563346i
\(172\) 64.5673 286.718i 0.375391 1.66697i
\(173\) 58.4155 218.009i 0.337662 1.26017i −0.563293 0.826257i \(-0.690466\pi\)
0.900955 0.433913i \(-0.142868\pi\)
\(174\) −152.537 9.33661i −0.876652 0.0536587i
\(175\) 60.2206 104.305i 0.344118 0.596030i
\(176\) −94.1731 17.2534i −0.535074 0.0980307i
\(177\) −216.476 + 102.526i −1.22303 + 0.579242i
\(178\) −158.897 + 3.20218i −0.892677 + 0.0179898i
\(179\) 38.3604 + 38.3604i 0.214304 + 0.214304i 0.806093 0.591789i \(-0.201578\pi\)
−0.591789 + 0.806093i \(0.701578\pi\)
\(180\) 178.675 + 228.736i 0.992636 + 1.27076i
\(181\) 20.4423 + 20.4423i 0.112941 + 0.112941i 0.761319 0.648378i \(-0.224552\pi\)
−0.648378 + 0.761319i \(0.724552\pi\)
\(182\) −66.1675 63.5533i −0.363558 0.349194i
\(183\) 12.8773 158.079i 0.0703680 0.863817i
\(184\) −14.8891 + 29.8154i −0.0809191 + 0.162040i
\(185\) 158.684 274.849i 0.857753 1.48567i
\(186\) −129.835 43.4489i −0.698039 0.233596i
\(187\) −36.1639 + 134.965i −0.193390 + 0.721740i
\(188\) −154.558 + 97.7414i −0.822116 + 0.519901i
\(189\) 71.1177 + 39.3748i 0.376284 + 0.208332i
\(190\) −165.895 91.3729i −0.873129 0.480910i
\(191\) 68.3229 39.4463i 0.357712 0.206525i −0.310365 0.950618i \(-0.600451\pi\)
0.668077 + 0.744093i \(0.267118\pi\)
\(192\) 56.9996 + 183.344i 0.296873 + 0.954917i
\(193\) 25.8209 44.7231i 0.133787 0.231726i −0.791346 0.611368i \(-0.790620\pi\)
0.925133 + 0.379642i \(0.123953\pi\)
\(194\) 119.547 + 197.750i 0.616223 + 1.01933i
\(195\) −238.569 280.885i −1.22343 1.44044i
\(196\) −74.2323 + 141.446i −0.378736 + 0.721662i
\(197\) 121.764 121.764i 0.618089 0.618089i −0.326952 0.945041i \(-0.606021\pi\)
0.945041 + 0.326952i \(0.106021\pi\)
\(198\) −106.941 + 12.8282i −0.540108 + 0.0647888i
\(199\) 14.7523i 0.0741321i 0.999313 + 0.0370661i \(0.0118012\pi\)
−0.999313 + 0.0370661i \(0.988199\pi\)
\(200\) 266.981 176.466i 1.33490 0.882332i
\(201\) 125.779 59.5705i 0.625764 0.296370i
\(202\) −147.273 36.2978i −0.729076 0.179692i
\(203\) 19.8476 + 74.0723i 0.0977715 + 0.364888i
\(204\) 273.406 61.3736i 1.34023 0.300851i
\(205\) 572.294 + 153.346i 2.79168 + 0.748027i
\(206\) 95.6498 + 52.6829i 0.464319 + 0.255742i
\(207\) −6.06808 + 36.9978i −0.0293144 + 0.178733i
\(208\) −81.8486 229.629i −0.393503 1.10399i
\(209\) 60.8658 35.1409i 0.291224 0.168138i
\(210\) 80.3924 121.448i 0.382821 0.578321i
\(211\) −2.34783 8.76223i −0.0111272 0.0415272i 0.960139 0.279523i \(-0.0901763\pi\)
−0.971266 + 0.237996i \(0.923510\pi\)
\(212\) 80.7336 87.5178i 0.380819 0.412820i
\(213\) −44.2353 242.380i −0.207678 1.13794i
\(214\) −268.609 + 279.658i −1.25518 + 1.30681i
\(215\) −592.388 −2.75529
\(216\) 122.319 + 178.028i 0.566293 + 0.824204i
\(217\) 68.7014i 0.316597i
\(218\) −222.634 + 231.792i −1.02126 + 1.06327i
\(219\) 74.8987 13.6693i 0.342003 0.0624169i
\(220\) 7.77482 + 192.820i 0.0353401 + 0.876455i
\(221\) −343.657 + 92.0825i −1.55501 + 0.416663i
\(222\) 130.366 196.942i 0.587236 0.887128i
\(223\) −204.189 353.666i −0.915646 1.58594i −0.805953 0.591979i \(-0.798347\pi\)
−0.109692 0.993966i \(-0.534987\pi\)
\(224\) 78.1682 56.3197i 0.348965 0.251427i
\(225\) 228.108 278.552i 1.01381 1.23801i
\(226\) 23.0076 + 12.6723i 0.101803 + 0.0560723i
\(227\) 10.6696 39.8196i 0.0470028 0.175417i −0.938434 0.345458i \(-0.887724\pi\)
0.985437 + 0.170042i \(0.0543902\pi\)
\(228\) −119.072 75.4140i −0.522244 0.330763i
\(229\) −21.1498 + 5.66706i −0.0923570 + 0.0247470i −0.304702 0.952448i \(-0.598557\pi\)
0.212345 + 0.977195i \(0.431890\pi\)
\(230\) 65.2215 + 16.0749i 0.283572 + 0.0698907i
\(231\) 23.1340 + 48.8457i 0.100147 + 0.211453i
\(232\) −40.7511 + 199.647i −0.175651 + 0.860549i
\(233\) 39.8502 0.171031 0.0855155 0.996337i \(-0.472746\pi\)
0.0855155 + 0.996337i \(0.472746\pi\)
\(234\) −164.438 219.487i −0.702726 0.937979i
\(235\) 260.638 + 260.638i 1.10910 + 1.10910i
\(236\) 95.0205 + 304.907i 0.402629 + 1.29198i
\(237\) −209.036 + 177.544i −0.882007 + 0.749132i
\(238\) −72.7428 120.328i −0.305642 0.505581i
\(239\) 191.059 + 110.308i 0.799409 + 0.461539i 0.843264 0.537499i \(-0.180631\pi\)
−0.0438555 + 0.999038i \(0.513964\pi\)
\(240\) 335.283 193.271i 1.39701 0.805295i
\(241\) −4.52961 7.84552i −0.0187951 0.0325540i 0.856475 0.516189i \(-0.172650\pi\)
−0.875270 + 0.483635i \(0.839316\pi\)
\(242\) 149.247 + 82.2039i 0.616725 + 0.339685i
\(243\) 190.738 + 150.559i 0.784932 + 0.619582i
\(244\) −206.303 46.4583i −0.845505 0.190403i
\(245\) 311.007 + 83.3342i 1.26942 + 0.340140i
\(246\) 418.126 + 139.924i 1.69970 + 0.568798i
\(247\) 154.980 + 89.4777i 0.627449 + 0.362258i
\(248\) −81.5573 + 163.318i −0.328860 + 0.658541i
\(249\) −140.330 11.4315i −0.563573 0.0459096i
\(250\) −174.486 167.592i −0.697944 0.670369i
\(251\) −14.8880 + 14.8880i −0.0593147 + 0.0593147i −0.736142 0.676827i \(-0.763354\pi\)
0.676827 + 0.736142i \(0.263354\pi\)
\(252\) 65.2369 86.5557i 0.258876 0.343475i
\(253\) −17.6262 + 17.6262i −0.0696687 + 0.0696687i
\(254\) −180.964 + 3.64690i −0.712458 + 0.0143579i
\(255\) −241.753 510.443i −0.948051 2.00174i
\(256\) 252.681 41.0885i 0.987036 0.160502i
\(257\) 159.082 + 91.8461i 0.618997 + 0.357378i 0.776478 0.630144i \(-0.217004\pi\)
−0.157481 + 0.987522i \(0.550337\pi\)
\(258\) −440.024 26.9333i −1.70552 0.104392i
\(259\) −114.476 30.6737i −0.441991 0.118431i
\(260\) −415.294 + 262.629i −1.59728 + 1.01011i
\(261\) 22.7107 + 228.107i 0.0870143 + 0.873972i
\(262\) 121.902 35.3110i 0.465276 0.134775i
\(263\) −136.494 236.415i −0.518989 0.898915i −0.999756 0.0220670i \(-0.992975\pi\)
0.480768 0.876848i \(-0.340358\pi\)
\(264\) −2.99157 + 143.580i −0.0113317 + 0.543862i
\(265\) −207.843 119.998i −0.784315 0.452825i
\(266\) −16.9248 + 68.6698i −0.0636269 + 0.258157i
\(267\) 42.8007 + 234.519i 0.160302 + 0.878350i
\(268\) −55.2096 177.160i −0.206006 0.661043i
\(269\) −183.737 183.737i −0.683036 0.683036i 0.277647 0.960683i \(-0.410445\pi\)
−0.960683 + 0.277647i \(0.910445\pi\)
\(270\) 295.906 319.360i 1.09595 1.18281i
\(271\) −274.391 −1.01251 −0.506256 0.862383i \(-0.668971\pi\)
−0.506256 + 0.862383i \(0.668971\pi\)
\(272\) −30.0805 372.401i −0.110590 1.36912i
\(273\) −78.2582 + 113.200i −0.286660 + 0.414652i
\(274\) −152.822 252.791i −0.557743 0.922596i
\(275\) 231.217 61.9545i 0.840790 0.225289i
\(276\) 47.7155 + 14.9057i 0.172882 + 0.0540062i
\(277\) −42.3116 + 157.909i −0.152749 + 0.570068i 0.846538 + 0.532328i \(0.178683\pi\)
−0.999288 + 0.0377403i \(0.987984\pi\)
\(278\) −170.580 + 49.4113i −0.613598 + 0.177738i
\(279\) −33.2388 + 202.661i −0.119135 + 0.726383i
\(280\) −145.360 128.769i −0.519143 0.459889i
\(281\) −265.130 459.219i −0.943524 1.63423i −0.758681 0.651463i \(-0.774156\pi\)
−0.184843 0.982768i \(-0.559178\pi\)
\(282\) 181.751 + 205.451i 0.644506 + 0.728549i
\(283\) −223.598 + 59.9128i −0.790098 + 0.211706i −0.631232 0.775594i \(-0.717450\pi\)
−0.158866 + 0.987300i \(0.550784\pi\)
\(284\) −328.245 + 13.2354i −1.15579 + 0.0466034i
\(285\) −95.5655 + 267.535i −0.335318 + 0.938718i
\(286\) −3.67390 182.304i −0.0128458 0.637426i
\(287\) 221.249i 0.770901i
\(288\) 257.835 128.317i 0.895259 0.445546i
\(289\) −256.263 −0.886722
\(290\) 410.628 8.27522i 1.41596 0.0285352i
\(291\) 264.185 224.385i 0.907852 0.771083i
\(292\) −4.08990 101.432i −0.0140065 0.347370i
\(293\) −58.0169 216.522i −0.198010 0.738983i −0.991467 0.130357i \(-0.958388\pi\)
0.793457 0.608626i \(-0.208279\pi\)
\(294\) 227.227 + 76.0405i 0.772879 + 0.258641i
\(295\) 557.486 321.865i 1.88978 1.09107i
\(296\) −235.720 208.815i −0.796351 0.705456i
\(297\) 44.6101 + 155.281i 0.150202 + 0.522833i
\(298\) 138.865 + 479.397i 0.465990 + 1.60872i
\(299\) −61.3083 16.4275i −0.205044 0.0549415i
\(300\) −325.251 353.065i −1.08417 1.17688i
\(301\) 57.2543 + 213.676i 0.190214 + 0.709887i
\(302\) −395.011 + 238.799i −1.30798 + 0.790724i
\(303\) −18.4730 + 226.770i −0.0609671 + 0.748414i
\(304\) −121.754 + 143.151i −0.400505 + 0.470892i
\(305\) 426.243i 1.39752i
\(306\) −156.366 390.147i −0.510999 1.27499i
\(307\) 57.4022 57.4022i 0.186978 0.186978i −0.607410 0.794388i \(-0.707792\pi\)
0.794388 + 0.607410i \(0.207792\pi\)
\(308\) 68.7993 21.4405i 0.223374 0.0696119i
\(309\) 55.1002 154.252i 0.178318 0.499199i
\(310\) 357.260 + 88.0524i 1.15245 + 0.284040i
\(311\) 188.714 326.862i 0.606797 1.05100i −0.384968 0.922930i \(-0.625787\pi\)
0.991765 0.128073i \(-0.0408792\pi\)
\(312\) −320.419 + 176.199i −1.02699 + 0.564739i
\(313\) 224.605 129.676i 0.717588 0.414300i −0.0962760 0.995355i \(-0.530693\pi\)
0.813864 + 0.581055i \(0.197360\pi\)
\(314\) 3.41723 + 11.7971i 0.0108829 + 0.0375705i
\(315\) −199.089 89.9520i −0.632030 0.285562i
\(316\) 195.450 + 309.063i 0.618512 + 0.978048i
\(317\) 37.8333 141.196i 0.119348 0.445413i −0.880227 0.474552i \(-0.842610\pi\)
0.999575 + 0.0291393i \(0.00927665\pi\)
\(318\) −148.930 98.5842i −0.468332 0.310013i
\(319\) −76.2050 + 131.991i −0.238887 + 0.413764i
\(320\) −192.687 478.672i −0.602148 1.49585i
\(321\) 478.442 + 330.760i 1.49047 + 1.03040i
\(322\) −0.505412 25.0792i −0.00156960 0.0778858i
\(323\) 193.934 + 193.934i 0.600416 + 0.600416i
\(324\) 234.318 223.766i 0.723202 0.690636i
\(325\) 430.987 + 430.987i 1.32611 + 1.32611i
\(326\) 253.835 264.276i 0.778635 0.810664i
\(327\) 396.553 + 274.147i 1.21270 + 0.838371i
\(328\) 262.650 525.956i 0.800763 1.60352i
\(329\) 68.8220 119.203i 0.209186 0.362320i
\(330\) 283.657 57.6971i 0.859566 0.174840i
\(331\) −96.7332 + 361.013i −0.292245 + 1.09067i 0.651135 + 0.758962i \(0.274293\pi\)
−0.943381 + 0.331712i \(0.892374\pi\)
\(332\) −41.2421 + 183.140i −0.124223 + 0.551626i
\(333\) −322.849 145.869i −0.969516 0.438044i
\(334\) 272.856 495.391i 0.816935 1.48321i
\(335\) −323.915 + 187.012i −0.966910 + 0.558246i
\(336\) −102.118 102.258i −0.303924 0.304339i
\(337\) 19.0170 32.9383i 0.0564301 0.0977399i −0.836430 0.548073i \(-0.815362\pi\)
0.892861 + 0.450333i \(0.148695\pi\)
\(338\) 108.073 65.3341i 0.319743 0.193296i
\(339\) 13.2538 37.1038i 0.0390967 0.109451i
\(340\) −718.961 + 224.055i −2.11459 + 0.658986i
\(341\) −96.5500 + 96.5500i −0.283138 + 0.283138i
\(342\) −83.1494 + 194.379i −0.243127 + 0.568360i
\(343\) 267.762i 0.780648i
\(344\) −117.555 + 575.921i −0.341728 + 1.67419i
\(345\) 8.18098 100.427i 0.0237130 0.291093i
\(346\) −108.022 + 438.284i −0.312203 + 1.26672i
\(347\) 40.7606 + 152.120i 0.117466 + 0.438388i 0.999460 0.0328732i \(-0.0104658\pi\)
−0.881994 + 0.471261i \(0.843799\pi\)
\(348\) 305.389 + 12.5226i 0.877555 + 0.0359845i
\(349\) −201.972 54.1182i −0.578716 0.155067i −0.0424253 0.999100i \(-0.513508\pi\)
−0.536291 + 0.844033i \(0.680175\pi\)
\(350\) −116.214 + 210.995i −0.332039 + 0.602842i
\(351\) −285.620 + 296.064i −0.813732 + 0.843487i
\(352\) 189.003 + 30.7049i 0.536941 + 0.0872298i
\(353\) −99.4507 + 57.4179i −0.281730 + 0.162657i −0.634206 0.773164i \(-0.718673\pi\)
0.352476 + 0.935821i \(0.385340\pi\)
\(354\) 428.732 213.734i 1.21111 0.603767i
\(355\) 171.378 + 639.593i 0.482756 + 1.80167i
\(356\) 317.599 12.8061i 0.892133 0.0359722i
\(357\) −160.753 + 136.535i −0.450288 + 0.382452i
\(358\) −78.2511 75.1595i −0.218578 0.209943i
\(359\) 202.626 0.564419 0.282209 0.959353i \(-0.408933\pi\)
0.282209 + 0.959353i \(0.408933\pi\)
\(360\) −366.494 450.179i −1.01804 1.25050i
\(361\) 223.046i 0.617857i
\(362\) −41.7000 40.0525i −0.115193 0.110642i
\(363\) 85.9757 240.688i 0.236848 0.663053i
\(364\) 134.869 + 124.414i 0.370520 + 0.341798i
\(365\) −197.643 + 52.9582i −0.541487 + 0.145091i
\(366\) −19.3794 + 316.612i −0.0529491 + 0.865060i
\(367\) 198.330 + 343.518i 0.540409 + 0.936016i 0.998880 + 0.0473067i \(0.0150638\pi\)
−0.458471 + 0.888709i \(0.651603\pi\)
\(368\) 28.5707 60.2187i 0.0776379 0.163638i
\(369\) 107.043 652.656i 0.290090 1.76872i
\(370\) −306.229 + 555.981i −0.827645 + 1.50265i
\(371\) −23.1957 + 86.5676i −0.0625221 + 0.233336i
\(372\) 261.368 + 81.6481i 0.702603 + 0.219484i
\(373\) −352.304 + 94.3996i −0.944515 + 0.253082i −0.698033 0.716065i \(-0.745941\pi\)
−0.246482 + 0.969147i \(0.579275\pi\)
\(374\) 66.8744 271.333i 0.178808 0.725490i
\(375\) −206.370 + 298.513i −0.550319 + 0.796034i
\(376\) 305.114 201.671i 0.811474 0.536360i
\(377\) −388.075 −1.02938
\(378\) −143.793 75.8678i −0.380406 0.200708i
\(379\) 291.312 + 291.312i 0.768633 + 0.768633i 0.977866 0.209232i \(-0.0670965\pi\)
−0.209232 + 0.977866i \(0.567097\pi\)
\(380\) 335.404 + 176.024i 0.882642 + 0.463220i
\(381\) 48.7449 + 267.090i 0.127939 + 0.701023i
\(382\) −135.029 + 81.6297i −0.353478 + 0.213690i
\(383\) −16.9453 9.78336i −0.0442435 0.0255440i 0.477715 0.878515i \(-0.341465\pi\)
−0.521959 + 0.852971i \(0.674798\pi\)
\(384\) −121.364 364.317i −0.316053 0.948742i
\(385\) −72.6256 125.791i −0.188638 0.326731i
\(386\) −49.8291 + 90.4686i −0.129091 + 0.234375i
\(387\) 65.5135 + 658.018i 0.169286 + 1.70030i
\(388\) −247.015 390.603i −0.636636 1.00671i
\(389\) −142.929 38.2977i −0.367427 0.0984518i 0.0703812 0.997520i \(-0.477578\pi\)
−0.437808 + 0.899068i \(0.644245\pi\)
\(390\) 488.361 + 552.042i 1.25221 + 1.41549i
\(391\) −84.2424 48.6374i −0.215454 0.124392i
\(392\) 142.735 285.826i 0.364119 0.729147i
\(393\) −81.4850 172.050i −0.207341 0.437785i
\(394\) −238.571 + 248.385i −0.605510 + 0.630418i
\(395\) 521.187 521.187i 1.31946 1.31946i
\(396\) 213.323 29.9606i 0.538693 0.0756581i
\(397\) −91.7365 + 91.7365i −0.231074 + 0.231074i −0.813141 0.582067i \(-0.802244\pi\)
0.582067 + 0.813141i \(0.302244\pi\)
\(398\) −0.594474 29.4986i −0.00149365 0.0741171i
\(399\) 105.737 + 8.61351i 0.265005 + 0.0215877i
\(400\) −526.742 + 363.620i −1.31686 + 0.909049i
\(401\) 213.356 + 123.181i 0.532060 + 0.307185i 0.741855 0.670560i \(-0.233946\pi\)
−0.209795 + 0.977745i \(0.567280\pi\)
\(402\) −249.106 + 124.185i −0.619666 + 0.308919i
\(403\) −335.825 89.9840i −0.833313 0.223285i
\(404\) 295.950 + 66.6462i 0.732549 + 0.164966i
\(405\) −543.769 361.670i −1.34264 0.893011i
\(406\) −42.6721 147.315i −0.105104 0.362844i
\(407\) −117.772 203.986i −0.289365 0.501195i
\(408\) −544.229 + 133.740i −1.33389 + 0.327793i
\(409\) 551.068 + 318.159i 1.34735 + 0.777896i 0.987874 0.155257i \(-0.0496206\pi\)
0.359480 + 0.933153i \(0.382954\pi\)
\(410\) −1150.53 283.567i −2.80618 0.691627i
\(411\) −337.717 + 286.840i −0.821697 + 0.697907i
\(412\) −193.384 101.490i −0.469378 0.246335i
\(413\) −169.978 169.978i −0.411570 0.411570i
\(414\) 10.6428 74.2251i 0.0257072 0.179288i
\(415\) 378.385 0.911771
\(416\) 172.917 + 455.867i 0.415667 + 1.09583i
\(417\) 114.023 + 240.752i 0.273438 + 0.577343i
\(418\) −120.291 + 72.7202i −0.287777 + 0.173972i
\(419\) 60.8647 16.3087i 0.145262 0.0389228i −0.185455 0.982653i \(-0.559376\pi\)
0.330717 + 0.943730i \(0.392709\pi\)
\(420\) −155.858 + 246.085i −0.371091 + 0.585917i
\(421\) 113.002 421.729i 0.268413 1.00173i −0.691715 0.722171i \(-0.743144\pi\)
0.960128 0.279561i \(-0.0901890\pi\)
\(422\) 5.04781 + 17.4263i 0.0119616 + 0.0412946i
\(423\) 260.689 318.338i 0.616285 0.752571i
\(424\) −157.908 + 178.253i −0.372424 + 0.420409i
\(425\) 467.061 + 808.973i 1.09897 + 1.90347i
\(426\) 98.2199 + 482.880i 0.230563 + 1.13352i
\(427\) 153.747 41.1964i 0.360063 0.0964786i
\(428\) 525.840 570.027i 1.22860 1.33184i
\(429\) −269.067 + 49.1058i −0.627196 + 0.114466i
\(430\) 1184.54 23.8715i 2.75473 0.0555151i
\(431\) 513.207i 1.19074i −0.803453 0.595368i \(-0.797006\pi\)
0.803453 0.595368i \(-0.202994\pi\)
\(432\) −251.763 351.055i −0.582784 0.812627i
\(433\) −292.020 −0.674411 −0.337205 0.941431i \(-0.609482\pi\)
−0.337205 + 0.941431i \(0.609482\pi\)
\(434\) −2.76847 137.375i −0.00637895 0.316532i
\(435\) −110.608 606.056i −0.254270 1.39323i
\(436\) 435.838 472.462i 0.999628 1.08363i
\(437\) 12.6637 + 47.2615i 0.0289787 + 0.108150i
\(438\) −149.216 + 30.3512i −0.340676 + 0.0692950i
\(439\) 121.141 69.9406i 0.275947 0.159318i −0.355640 0.934623i \(-0.615737\pi\)
0.631587 + 0.775305i \(0.282404\pi\)
\(440\) −23.3166 385.249i −0.0529922 0.875565i
\(441\) 58.1717 354.680i 0.131909 0.804262i
\(442\) 683.463 197.976i 1.54630 0.447909i
\(443\) 506.463 + 135.706i 1.14326 + 0.306335i 0.780260 0.625456i \(-0.215087\pi\)
0.362997 + 0.931790i \(0.381754\pi\)
\(444\) −252.744 + 399.058i −0.569242 + 0.898780i
\(445\) −165.820 618.850i −0.372630 1.39067i
\(446\) 422.547 + 698.960i 0.947414 + 1.56717i
\(447\) 676.608 320.451i 1.51366 0.716892i
\(448\) −154.035 + 115.766i −0.343828 + 0.258407i
\(449\) 843.172i 1.87789i 0.344069 + 0.938944i \(0.388195\pi\)
−0.344069 + 0.938944i \(0.611805\pi\)
\(450\) −444.898 + 566.183i −0.988662 + 1.25818i
\(451\) 310.933 310.933i 0.689430 0.689430i
\(452\) −46.5165 24.4124i −0.102913 0.0540097i
\(453\) 448.216 + 527.717i 0.989438 + 1.16494i
\(454\) −19.7303 + 80.0530i −0.0434588 + 0.176328i
\(455\) 184.923 320.297i 0.406425 0.703949i
\(456\) 241.134 + 145.999i 0.528802 + 0.320174i
\(457\) 142.799 82.4450i 0.312470 0.180405i −0.335561 0.942018i \(-0.608926\pi\)
0.648031 + 0.761614i \(0.275593\pi\)
\(458\) 42.0626 12.1841i 0.0918396 0.0266028i
\(459\) −540.259 + 324.988i −1.17703 + 0.708034i
\(460\) −131.064 29.5150i −0.284923 0.0641630i
\(461\) 118.024 440.470i 0.256017 0.955467i −0.711506 0.702680i \(-0.751986\pi\)
0.967522 0.252786i \(-0.0813469\pi\)
\(462\) −48.2269 96.7393i −0.104387 0.209392i
\(463\) −110.082 + 190.668i −0.237759 + 0.411810i −0.960071 0.279757i \(-0.909746\pi\)
0.722312 + 0.691567i \(0.243079\pi\)
\(464\) 73.4405 400.856i 0.158277 0.863913i
\(465\) 44.8125 550.105i 0.0963709 1.18302i
\(466\) −79.6842 + 1.60585i −0.170996 + 0.00344602i
\(467\) −281.438 281.438i −0.602651 0.602651i 0.338364 0.941015i \(-0.390126\pi\)
−0.941015 + 0.338364i \(0.890126\pi\)
\(468\) 337.654 + 432.259i 0.721482 + 0.923630i
\(469\) 98.7623 + 98.7623i 0.210581 + 0.210581i
\(470\) −531.672 510.666i −1.13122 1.08652i
\(471\) 16.6501 7.88573i 0.0353506 0.0167425i
\(472\) −202.289 605.861i −0.428579 1.28360i
\(473\) −219.828 + 380.753i −0.464753 + 0.804975i
\(474\) 410.832 363.440i 0.866734 0.766751i
\(475\) 121.608 453.849i 0.256018 0.955471i
\(476\) 150.305 + 237.676i 0.315767 + 0.499320i
\(477\) −110.307 + 244.141i −0.231252 + 0.511826i
\(478\) −386.485 212.872i −0.808546 0.445338i
\(479\) −321.243 + 185.470i −0.670653 + 0.387202i −0.796324 0.604870i \(-0.793225\pi\)
0.125671 + 0.992072i \(0.459892\pi\)
\(480\) −662.642 + 399.974i −1.38051 + 0.833280i
\(481\) 299.877 519.402i 0.623444 1.07984i
\(482\) 9.37354 + 15.5053i 0.0194472 + 0.0321687i
\(483\) −37.0151 + 6.75539i −0.0766358 + 0.0139863i
\(484\) −301.747 158.360i −0.623444 0.327190i
\(485\) −658.690 + 658.690i −1.35812 + 1.35812i
\(486\) −387.466 293.370i −0.797256 0.603641i
\(487\) 144.495i 0.296705i −0.988935 0.148352i \(-0.952603\pi\)
0.988935 0.148352i \(-0.0473970\pi\)
\(488\) 414.395 + 84.5844i 0.849169 + 0.173329i
\(489\) −452.127 312.567i −0.924595 0.639197i
\(490\) −625.247 154.102i −1.27601 0.314494i
\(491\) 7.70017 + 28.7374i 0.0156826 + 0.0585284i 0.973324 0.229436i \(-0.0736882\pi\)
−0.957641 + 0.287964i \(0.907022\pi\)
\(492\) −841.721 262.943i −1.71081 0.534436i
\(493\) −574.492 153.935i −1.16530 0.312241i
\(494\) −313.503 172.674i −0.634621 0.349542i
\(495\) −153.377 406.206i −0.309852 0.820618i
\(496\) 156.500 329.856i 0.315525 0.665033i
\(497\) 214.139 123.633i 0.430864 0.248759i
\(498\) 281.063 + 17.2035i 0.564384 + 0.0345452i
\(499\) −116.925 436.369i −0.234318 0.874487i −0.978455 0.206460i \(-0.933806\pi\)
0.744137 0.668027i \(-0.232861\pi\)
\(500\) 355.655 + 328.085i 0.711309 + 0.656170i
\(501\) −798.907 285.376i −1.59462 0.569613i
\(502\) 29.1700 30.3699i 0.0581076 0.0604978i
\(503\) 94.4911 0.187855 0.0939275 0.995579i \(-0.470058\pi\)
0.0939275 + 0.995579i \(0.470058\pi\)
\(504\) −126.959 + 175.705i −0.251903 + 0.348621i
\(505\) 611.461i 1.21081i
\(506\) 34.5349 35.9555i 0.0682509 0.0710583i
\(507\) −122.629 144.380i −0.241873 0.284774i
\(508\) 361.708 14.5847i 0.712024 0.0287099i
\(509\) −314.639 + 84.3073i −0.618152 + 0.165633i −0.554287 0.832325i \(-0.687009\pi\)
−0.0638642 + 0.997959i \(0.520342\pi\)
\(510\) 503.977 + 1010.94i 0.988190 + 1.98223i
\(511\) 38.2043 + 66.1718i 0.0747638 + 0.129495i
\(512\) −503.604 + 92.3426i −0.983601 + 0.180357i
\(513\) 307.743 + 76.5658i 0.599889 + 0.149251i
\(514\) −321.801 177.244i −0.626072 0.344834i
\(515\) −113.934 + 425.207i −0.221231 + 0.825645i
\(516\) 880.954 + 36.1239i 1.70728 + 0.0700076i
\(517\) 264.242 70.8035i 0.511107 0.136951i
\(518\) 230.141 + 56.7219i 0.444288 + 0.109502i
\(519\) 674.865 + 54.9756i 1.30032 + 0.105926i
\(520\) 819.836 541.887i 1.57661 1.04209i
\(521\) 325.511 0.624781 0.312391 0.949954i \(-0.398870\pi\)
0.312391 + 0.949954i \(0.398870\pi\)
\(522\) −54.6043 455.205i −0.104606 0.872041i
\(523\) −539.325 539.325i −1.03121 1.03121i −0.999497 0.0317170i \(-0.989902\pi\)
−0.0317170 0.999497i \(-0.510098\pi\)
\(524\) −242.332 + 75.5199i −0.462466 + 0.144122i
\(525\) 340.267 + 121.546i 0.648127 + 0.231516i
\(526\) 282.460 + 467.233i 0.536995 + 0.888276i
\(527\) −461.450 266.418i −0.875617 0.505538i
\(528\) 0.196087 287.222i 0.000371378 0.543980i
\(529\) 255.823 + 443.099i 0.483598 + 0.837616i
\(530\) 420.438 + 231.573i 0.793280 + 0.436930i
\(531\) −419.177 583.653i −0.789411 1.09916i
\(532\) 31.0754 137.994i 0.0584125 0.259387i
\(533\) 1081.50 + 289.788i 2.02909 + 0.543692i
\(534\) −95.0345 467.219i −0.177967 0.874942i
\(535\) −1353.74 781.582i −2.53036 1.46090i
\(536\) 117.536 + 352.022i 0.219283 + 0.656758i
\(537\) −92.5498 + 133.873i −0.172346 + 0.249298i
\(538\) 374.803 + 359.995i 0.696659 + 0.669135i
\(539\) 168.974 168.974i 0.313495 0.313495i
\(540\) −578.822 + 650.515i −1.07189 + 1.20466i
\(541\) −114.321 + 114.321i −0.211315 + 0.211315i −0.804826 0.593511i \(-0.797741\pi\)
0.593511 + 0.804826i \(0.297741\pi\)
\(542\) 548.670 11.0571i 1.01231 0.0204006i
\(543\) −49.3198 + 71.3408i −0.0908283 + 0.131383i
\(544\) 75.1554 + 743.438i 0.138153 + 1.36661i
\(545\) −1122.04 647.807i −2.05878 1.18864i
\(546\) 151.923 229.508i 0.278247 0.420344i
\(547\) −753.518 201.904i −1.37755 0.369112i −0.507317 0.861760i \(-0.669363\pi\)
−0.870229 + 0.492647i \(0.836029\pi\)
\(548\) 315.768 + 499.321i 0.576219 + 0.911171i
\(549\) 473.466 47.1392i 0.862415 0.0858637i
\(550\) −459.844 + 133.201i −0.836080 + 0.242184i
\(551\) 149.580 + 259.080i 0.271470 + 0.470200i
\(552\) −96.0123 27.8825i −0.173935 0.0505119i
\(553\) −238.366 137.621i −0.431042 0.248862i
\(554\) 78.2427 317.459i 0.141232 0.573030i
\(555\) 896.619 + 320.280i 1.61553 + 0.577080i
\(556\) 339.100 105.676i 0.609892 0.190065i
\(557\) 102.575 + 102.575i 0.184157 + 0.184157i 0.793164 0.609008i \(-0.208432\pi\)
−0.609008 + 0.793164i \(0.708432\pi\)
\(558\) 58.2974 406.579i 0.104476 0.728635i
\(559\) −1119.48 −2.00264
\(560\) 295.850 + 251.628i 0.528304 + 0.449336i
\(561\) −417.796 34.0344i −0.744734 0.0606673i
\(562\) 548.658 + 907.567i 0.976259 + 1.61489i
\(563\) 579.897 155.383i 1.03001 0.275991i 0.296044 0.955174i \(-0.404332\pi\)
0.733969 + 0.679183i \(0.237666\pi\)
\(564\) −371.707 403.494i −0.659054 0.715415i
\(565\) −27.4057 + 102.279i −0.0485056 + 0.181025i
\(566\) 444.690 128.812i 0.785672 0.227582i
\(567\) −77.8999 + 231.094i −0.137390 + 0.407574i
\(568\) 655.823 39.6927i 1.15462 0.0698814i
\(569\) −138.669 240.182i −0.243707 0.422113i 0.718060 0.695981i \(-0.245030\pi\)
−0.961767 + 0.273868i \(0.911697\pi\)
\(570\) 180.311 538.812i 0.316336 0.945284i
\(571\) −739.455 + 198.136i −1.29502 + 0.346999i −0.839564 0.543260i \(-0.817190\pi\)
−0.455454 + 0.890259i \(0.650523\pi\)
\(572\) 14.6926 + 364.386i 0.0256864 + 0.637038i
\(573\) 153.216 + 180.392i 0.267392 + 0.314820i
\(574\) 8.91567 + 442.408i 0.0155325 + 0.770745i
\(575\) 166.647i 0.289821i
\(576\) −510.394 + 266.972i −0.886100 + 0.463493i
\(577\) 283.334 0.491048 0.245524 0.969391i \(-0.421040\pi\)
0.245524 + 0.969391i \(0.421040\pi\)
\(578\) 512.421 10.3266i 0.886542 0.0178661i
\(579\) 145.897 + 52.1155i 0.251981 + 0.0900094i
\(580\) −820.755 + 33.0942i −1.41510 + 0.0570589i
\(581\) −36.5709 136.484i −0.0629447 0.234913i
\(582\) −519.221 + 459.325i −0.892132 + 0.789219i
\(583\) −154.256 + 89.0600i −0.264591 + 0.152762i
\(584\) 12.2655 + 202.658i 0.0210026 + 0.347017i
\(585\) 700.465 855.367i 1.19738 1.46217i
\(586\) 124.735 + 430.618i 0.212859 + 0.734843i
\(587\) 720.218 + 192.982i 1.22695 + 0.328759i 0.813390 0.581719i \(-0.197620\pi\)
0.413557 + 0.910478i \(0.364286\pi\)
\(588\) −457.425 142.894i −0.777934 0.243016i
\(589\) 69.3672 + 258.882i 0.117771 + 0.439528i
\(590\) −1101.77 + 666.063i −1.86742 + 1.12892i
\(591\) 424.939 + 293.772i 0.719017 + 0.497075i
\(592\) 479.759 + 408.046i 0.810403 + 0.689268i
\(593\) 496.014i 0.836449i 0.908344 + 0.418224i \(0.137347\pi\)
−0.908344 + 0.418224i \(0.862653\pi\)
\(594\) −95.4595 308.702i −0.160706 0.519700i
\(595\) 400.804 400.804i 0.673620 0.673620i
\(596\) −296.992 953.004i −0.498309 1.59900i
\(597\) −43.5377 + 7.94581i −0.0729275 + 0.0133096i
\(598\) 123.254 + 30.3778i 0.206110 + 0.0507990i
\(599\) −485.209 + 840.406i −0.810032 + 1.40302i 0.102810 + 0.994701i \(0.467217\pi\)
−0.912841 + 0.408315i \(0.866117\pi\)
\(600\) 664.597 + 692.881i 1.10766 + 1.15480i
\(601\) −313.781 + 181.162i −0.522099 + 0.301434i −0.737793 0.675027i \(-0.764132\pi\)
0.215694 + 0.976461i \(0.430799\pi\)
\(602\) −123.096 424.958i −0.204478 0.705910i
\(603\) 243.554 + 339.119i 0.403903 + 0.562386i
\(604\) 780.239 493.418i 1.29179 0.816918i
\(605\) −177.777 + 663.474i −0.293847 + 1.09665i
\(606\) 27.8004 454.191i 0.0458753 0.749491i
\(607\) 252.276 436.954i 0.415611 0.719859i −0.579882 0.814701i \(-0.696901\pi\)
0.995492 + 0.0948420i \(0.0302346\pi\)
\(608\) 237.689 291.150i 0.390936 0.478866i
\(609\) −207.916 + 98.4718i −0.341405 + 0.161694i
\(610\) −17.1763 852.312i −0.0281579 1.39723i
\(611\) 492.545 + 492.545i 0.806129 + 0.806129i
\(612\) 328.390 + 773.835i 0.536585 + 1.26444i
\(613\) 423.437 + 423.437i 0.690762 + 0.690762i 0.962400 0.271637i \(-0.0875651\pi\)
−0.271637 + 0.962400i \(0.587565\pi\)
\(614\) −112.468 + 117.094i −0.183172 + 0.190707i
\(615\) −144.316 + 1771.58i −0.234660 + 2.88061i
\(616\) −136.707 + 45.6446i −0.221926 + 0.0740984i
\(617\) −209.043 + 362.074i −0.338806 + 0.586829i −0.984208 0.177013i \(-0.943356\pi\)
0.645402 + 0.763843i \(0.276690\pi\)
\(618\) −103.962 + 310.663i −0.168223 + 0.502690i
\(619\) −198.588 + 741.141i −0.320821 + 1.19732i 0.597626 + 0.801775i \(0.296111\pi\)
−0.918447 + 0.395544i \(0.870556\pi\)
\(620\) −717.924 161.673i −1.15794 0.260762i
\(621\) −112.458 + 2.01914i −0.181092 + 0.00325143i
\(622\) −364.180 + 661.196i −0.585498 + 1.06302i
\(623\) −207.194 + 119.624i −0.332575 + 0.192012i
\(624\) 633.609 365.238i 1.01540 0.585317i
\(625\) −12.3971 + 21.4724i −0.0198354 + 0.0343559i
\(626\) −443.894 + 268.350i −0.709095 + 0.428674i
\(627\) 136.493 + 160.703i 0.217692 + 0.256305i
\(628\) −7.30846 23.4518i −0.0116377 0.0373436i
\(629\) 649.954 649.954i 1.03331 1.03331i
\(630\) 401.723 + 171.845i 0.637655 + 0.272769i
\(631\) 371.144i 0.588184i 0.955777 + 0.294092i \(0.0950172\pi\)
−0.955777 + 0.294092i \(0.904983\pi\)
\(632\) −403.274 610.125i −0.638092 0.965387i
\(633\) 24.5950 11.6485i 0.0388546 0.0184021i
\(634\) −69.9615 + 283.859i −0.110349 + 0.447727i
\(635\) −188.850 704.797i −0.297401 1.10992i
\(636\) 301.772 + 191.127i 0.474484 + 0.300514i
\(637\) 587.732 + 157.482i 0.922657 + 0.247225i
\(638\) 147.060 266.999i 0.230502 0.418494i
\(639\) 691.500 261.099i 1.08216 0.408606i
\(640\) 404.585 + 949.385i 0.632164 + 1.48341i
\(641\) 816.691 471.517i 1.27409 0.735596i 0.298334 0.954462i \(-0.403569\pi\)
0.975755 + 0.218866i \(0.0702357\pi\)
\(642\) −970.019 642.106i −1.51093 1.00016i
\(643\) 161.607 + 603.124i 0.251332 + 0.937984i 0.970094 + 0.242728i \(0.0780423\pi\)
−0.718762 + 0.695256i \(0.755291\pi\)
\(644\) 2.02124 + 50.1279i 0.00313857 + 0.0778383i
\(645\) −319.069 1748.29i −0.494681 2.71052i
\(646\) −395.605 379.975i −0.612391 0.588196i
\(647\) 842.116 1.30157 0.650785 0.759262i \(-0.274440\pi\)
0.650785 + 0.759262i \(0.274440\pi\)
\(648\) −459.523 + 456.884i −0.709140 + 0.705067i
\(649\) 477.760i 0.736148i
\(650\) −879.166 844.431i −1.35256 1.29912i
\(651\) −202.755 + 37.0036i −0.311452 + 0.0568412i
\(652\) −496.918 + 538.674i −0.762144 + 0.826188i
\(653\) 976.873 261.752i 1.49598 0.400846i 0.584226 0.811591i \(-0.301398\pi\)
0.911750 + 0.410745i \(0.134731\pi\)
\(654\) −803.991 532.203i −1.22934 0.813767i
\(655\) 255.810 + 443.076i 0.390549 + 0.676452i
\(656\) −503.999 + 1062.28i −0.768292 + 1.61933i
\(657\) 80.6831 + 213.682i 0.122805 + 0.325240i
\(658\) −132.813 + 241.131i −0.201843 + 0.366461i
\(659\) −217.660 + 812.320i −0.330289 + 1.23266i 0.578598 + 0.815613i \(0.303600\pi\)
−0.908887 + 0.417042i \(0.863067\pi\)
\(660\) −564.873 + 126.801i −0.855869 + 0.192123i
\(661\) −98.6689 + 26.4383i −0.149272 + 0.0399974i −0.332681 0.943039i \(-0.607953\pi\)
0.183409 + 0.983037i \(0.441287\pi\)
\(662\) 178.879 725.778i 0.270210 1.09634i
\(663\) −456.857 964.621i −0.689076 1.45493i
\(664\) 75.0874 367.867i 0.113083 0.554017i
\(665\) −285.109 −0.428735
\(666\) 651.444 + 278.668i 0.978145 + 0.418420i
\(667\) −75.0273 75.0273i −0.112485 0.112485i
\(668\) −525.639 + 1001.58i −0.786884 + 1.49937i
\(669\) 933.778 793.103i 1.39578 1.18551i
\(670\) 640.162 387.002i 0.955466 0.577614i
\(671\) 273.965 + 158.174i 0.408293 + 0.235728i
\(672\) 208.316 + 200.359i 0.309994 + 0.298154i
\(673\) −345.603 598.603i −0.513527 0.889454i −0.999877 0.0156903i \(-0.995005\pi\)
0.486350 0.873764i \(-0.338328\pi\)
\(674\) −36.6989 + 66.6296i −0.0544494 + 0.0988570i
\(675\) 944.939 + 523.172i 1.39991 + 0.775069i
\(676\) −213.469 + 134.997i −0.315783 + 0.199699i
\(677\) −788.942 211.396i −1.16535 0.312255i −0.376250 0.926518i \(-0.622787\pi\)
−0.789101 + 0.614264i \(0.789453\pi\)
\(678\) −25.0070 + 74.7267i −0.0368835 + 0.110216i
\(679\) 301.254 + 173.929i 0.443673 + 0.256155i
\(680\) 1428.60 476.992i 2.10088 0.701459i
\(681\) 123.264 + 10.0413i 0.181005 + 0.0147450i
\(682\) 189.170 196.951i 0.277375 0.288785i
\(683\) −722.723 + 722.723i −1.05816 + 1.05816i −0.0599580 + 0.998201i \(0.519097\pi\)
−0.998201 + 0.0599580i \(0.980903\pi\)
\(684\) 158.432 392.030i 0.231626 0.573143i
\(685\) 842.028 842.028i 1.22924 1.22924i
\(686\) 10.7900 + 535.416i 0.0157289 + 0.780489i
\(687\) −28.1165 59.3659i −0.0409265 0.0864133i
\(688\) 211.853 1156.35i 0.307927 1.68074i
\(689\) −392.776 226.770i −0.570067 0.329128i
\(690\) −12.3117 + 201.143i −0.0178431 + 0.291512i
\(691\) −1030.30 276.067i −1.49102 0.399518i −0.580939 0.813947i \(-0.697315\pi\)
−0.910082 + 0.414429i \(0.863981\pi\)
\(692\) 198.339 880.744i 0.286617 1.27275i
\(693\) −131.696 + 94.5833i −0.190037 + 0.136484i
\(694\) −87.6346 302.537i −0.126275 0.435932i
\(695\) −357.959 620.004i −0.515049 0.892092i
\(696\) −611.159 12.7339i −0.878102 0.0182958i
\(697\) 1486.07 + 857.983i 2.13210 + 1.23097i
\(698\) 406.043 + 100.076i 0.581723 + 0.143375i
\(699\) 21.4639 + 117.608i 0.0307066 + 0.168252i
\(700\) 223.878 426.587i 0.319825 0.609410i
\(701\) 55.9778 + 55.9778i 0.0798542 + 0.0798542i 0.745906 0.666052i \(-0.232017\pi\)
−0.666052 + 0.745906i \(0.732017\pi\)
\(702\) 559.193 603.517i 0.796572 0.859711i
\(703\) −462.340 −0.657667
\(704\) −379.167 53.7810i −0.538590 0.0763935i
\(705\) −628.824 + 909.591i −0.891949 + 1.29020i
\(706\) 196.547 118.820i 0.278395 0.168300i
\(707\) −220.556 + 59.0977i −0.311960 + 0.0835894i
\(708\) −848.678 + 444.657i −1.19870 + 0.628047i
\(709\) 152.692 569.856i 0.215363 0.803746i −0.770675 0.637228i \(-0.780081\pi\)
0.986038 0.166518i \(-0.0532524\pi\)
\(710\) −368.461 1272.02i −0.518959 1.79158i
\(711\) −636.568 521.289i −0.895313 0.733177i
\(712\) −634.554 + 38.4054i −0.891227 + 0.0539401i
\(713\) −47.5290 82.3226i −0.0666606 0.115459i
\(714\) 315.939 279.493i 0.442491 0.391447i
\(715\) 710.014 190.248i 0.993027 0.266081i
\(716\) 159.499 + 147.135i 0.222764 + 0.205496i
\(717\) −222.639 + 623.276i −0.310515 + 0.869283i
\(718\) −405.170 + 8.16524i −0.564304 + 0.0113722i
\(719\) 43.5371i 0.0605523i 0.999542 + 0.0302762i \(0.00963868\pi\)
−0.999542 + 0.0302762i \(0.990361\pi\)
\(720\) 750.980 + 885.408i 1.04303 + 1.22973i
\(721\) 164.385 0.227996
\(722\) −8.98811 446.002i −0.0124489 0.617731i
\(723\) 20.7144 17.5938i 0.0286506 0.0243344i
\(724\) 84.9971 + 78.4083i 0.117399 + 0.108299i
\(725\) 263.715 + 984.196i 0.363744 + 1.35751i
\(726\) −162.218 + 484.743i −0.223440 + 0.667690i
\(727\) −182.291 + 105.246i −0.250745 + 0.144768i −0.620105 0.784519i \(-0.712910\pi\)
0.369360 + 0.929286i \(0.379577\pi\)
\(728\) −274.697 243.344i −0.377331 0.334263i
\(729\) −341.602 + 644.010i −0.468590 + 0.883416i
\(730\) 393.071 113.859i 0.538453 0.155972i
\(731\) −1657.23 444.054i −2.26708 0.607461i
\(732\) 25.9924 633.876i 0.0355087 0.865951i
\(733\) 214.507 + 800.550i 0.292642 + 1.09216i 0.943072 + 0.332589i \(0.107922\pi\)
−0.650429 + 0.759567i \(0.725411\pi\)
\(734\) −410.422 678.904i −0.559159 0.924937i
\(735\) −78.4270 + 962.747i −0.106703 + 1.30986i
\(736\) −54.7032 + 121.564i −0.0743250 + 0.165169i
\(737\) 277.592i 0.376652i
\(738\) −187.743 + 1309.36i −0.254394 + 1.77420i
\(739\) −423.799 + 423.799i −0.573476 + 0.573476i −0.933098 0.359622i \(-0.882906\pi\)
0.359622 + 0.933098i \(0.382906\pi\)
\(740\) 589.928 1124.08i 0.797201 1.51902i
\(741\) −180.597 + 505.579i −0.243720 + 0.682293i
\(742\) 42.8936 174.035i 0.0578081 0.234548i
\(743\) −270.936 + 469.275i −0.364652 + 0.631596i −0.988720 0.149774i \(-0.952145\pi\)
0.624068 + 0.781370i \(0.285479\pi\)
\(744\) −525.921 152.731i −0.706883 0.205283i
\(745\) −1742.45 + 1006.01i −2.33886 + 1.35034i
\(746\) 700.661 202.958i 0.939224 0.272061i
\(747\) −41.8464 420.306i −0.0560193 0.562658i
\(748\) −122.788 + 545.251i −0.164155 + 0.728946i
\(749\) −151.080 + 563.838i −0.201709 + 0.752787i
\(750\) 400.626 605.220i 0.534169 0.806960i
\(751\) 615.386 1065.88i 0.819422 1.41928i −0.0866868 0.996236i \(-0.527628\pi\)
0.906109 0.423045i \(-0.139039\pi\)
\(752\) −601.978 + 415.556i −0.800502 + 0.552601i
\(753\) −51.9571 35.9193i −0.0690002 0.0477016i
\(754\) 775.992 15.6383i 1.02917 0.0207404i
\(755\) −1315.75 1315.75i −1.74272 1.74272i
\(756\) 290.585 + 145.910i 0.384372 + 0.193003i
\(757\) −41.7353 41.7353i −0.0551326 0.0551326i 0.679003 0.734136i \(-0.262412\pi\)
−0.734136 + 0.679003i \(0.762412\pi\)
\(758\) −594.245 570.767i −0.783964 0.752991i
\(759\) −61.5131 42.5256i −0.0810449 0.0560285i
\(760\) −677.765 338.460i −0.891796 0.445342i
\(761\) 56.7643 98.3187i 0.0745917 0.129197i −0.826317 0.563205i \(-0.809568\pi\)
0.900909 + 0.434009i \(0.142901\pi\)
\(762\) −108.233 532.107i −0.142038 0.698303i
\(763\) −125.221 + 467.332i −0.164117 + 0.612492i
\(764\) 266.713 168.668i 0.349101 0.220769i
\(765\) 1376.24 988.407i 1.79900 1.29203i
\(766\) 34.2779 + 18.8799i 0.0447492 + 0.0246474i
\(767\) 1053.52 608.250i 1.37356 0.793025i
\(768\) 257.360 + 723.595i 0.335105 + 0.942181i
\(769\) 348.676 603.925i 0.453415 0.785338i −0.545180 0.838319i \(-0.683539\pi\)
0.998596 + 0.0529807i \(0.0168722\pi\)
\(770\) 150.291 + 248.605i 0.195183 + 0.322863i
\(771\) −185.377 + 518.961i −0.240437 + 0.673102i
\(772\) 95.9924 182.908i 0.124342 0.236928i
\(773\) −380.830 + 380.830i −0.492665 + 0.492665i −0.909145 0.416480i \(-0.863264\pi\)