Properties

Label 224.3.v.b.13.2
Level 224
Weight 3
Character 224.13
Analytic conductor 6.104
Analytic rank 0
Dimension 240
CM no
Inner twists 4

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 224.v (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.10355792167\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(60\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 13.2
Character \(\chi\) \(=\) 224.13
Dual form 224.3.v.b.69.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.96919 + 0.349710i) q^{2} +(0.313666 + 0.129925i) q^{3} +(3.75541 - 1.37729i) q^{4} +(3.56967 + 8.61795i) q^{5} +(-0.663104 - 0.146154i) q^{6} +(-3.42679 + 6.10386i) q^{7} +(-6.91345 + 4.02544i) q^{8} +(-6.28246 - 6.28246i) q^{9} +O(q^{10})\) \(q+(-1.96919 + 0.349710i) q^{2} +(0.313666 + 0.129925i) q^{3} +(3.75541 - 1.37729i) q^{4} +(3.56967 + 8.61795i) q^{5} +(-0.663104 - 0.146154i) q^{6} +(-3.42679 + 6.10386i) q^{7} +(-6.91345 + 4.02544i) q^{8} +(-6.28246 - 6.28246i) q^{9} +(-10.0431 - 15.7220i) q^{10} +(4.82010 + 11.6368i) q^{11} +(1.35689 + 0.0559113i) q^{12} +(2.75909 - 6.66103i) q^{13} +(4.61341 - 13.2180i) q^{14} +3.16695i q^{15} +(12.2061 - 10.3446i) q^{16} -28.4801 q^{17} +(14.5684 + 10.1743i) q^{18} +(9.23350 - 22.2916i) q^{19} +(25.2750 + 27.4474i) q^{20} +(-1.86791 + 1.46935i) q^{21} +(-13.5612 - 21.2293i) q^{22} +(7.97013 + 7.97013i) q^{23} +(-2.69152 + 0.364417i) q^{24} +(-43.8488 + 43.8488i) q^{25} +(-3.10374 + 14.0817i) q^{26} +(-2.32367 - 5.60983i) q^{27} +(-4.46220 + 27.6422i) q^{28} +(-1.69500 + 4.09210i) q^{29} +(-1.10751 - 6.23632i) q^{30} +20.5650i q^{31} +(-20.4186 + 24.6390i) q^{32} +4.27630i q^{33} +(56.0826 - 9.95976i) q^{34} +(-64.8353 - 7.74311i) q^{35} +(-32.2459 - 14.9404i) q^{36} +(-48.6158 + 20.1373i) q^{37} +(-10.3869 + 47.1255i) q^{38} +(1.73087 - 1.73087i) q^{39} +(-59.3698 - 45.2103i) q^{40} +(3.17782 - 3.17782i) q^{41} +(3.16442 - 3.54665i) q^{42} +(9.26217 + 22.3609i) q^{43} +(34.1286 + 37.0621i) q^{44} +(31.7156 - 76.5682i) q^{45} +(-18.4819 - 12.9074i) q^{46} +62.0152 q^{47} +(5.17267 - 1.65886i) q^{48} +(-25.5142 - 41.8333i) q^{49} +(71.0123 - 101.681i) q^{50} +(-8.93323 - 3.70026i) q^{51} +(1.18734 - 28.8150i) q^{52} +(10.5075 + 25.3673i) q^{53} +(6.53756 + 10.2342i) q^{54} +(-83.0788 + 83.0788i) q^{55} +(-0.879818 - 55.9931i) q^{56} +(5.79247 - 5.79247i) q^{57} +(1.90673 - 8.65087i) q^{58} +(31.4969 + 76.0403i) q^{59} +(4.36180 + 11.8932i) q^{60} +(55.6216 + 23.0392i) q^{61} +(-7.19179 - 40.4964i) q^{62} +(59.8759 - 16.8186i) q^{63} +(31.5916 - 55.6594i) q^{64} +67.2535 q^{65} +(-1.49547 - 8.42085i) q^{66} +(-24.5928 + 59.3723i) q^{67} +(-106.954 + 39.2253i) q^{68} +(1.46444 + 3.53547i) q^{69} +(130.381 - 7.42589i) q^{70} +(33.2598 - 33.2598i) q^{71} +(68.7231 + 18.1438i) q^{72} +(30.5845 - 30.5845i) q^{73} +(88.6915 - 56.6556i) q^{74} +(-19.4509 + 8.05684i) q^{75} +(3.97351 - 96.4313i) q^{76} +(-87.5466 - 10.4555i) q^{77} +(-2.80310 + 4.01370i) q^{78} -5.67574i q^{79} +(132.721 + 68.2653i) q^{80} +77.9011i q^{81} +(-5.14641 + 7.36905i) q^{82} +(27.1352 - 65.5101i) q^{83} +(-4.99104 + 8.09066i) q^{84} +(-101.664 - 245.440i) q^{85} +(-26.0588 - 40.7937i) q^{86} +(-1.06333 + 1.06333i) q^{87} +(-80.1666 - 61.0471i) q^{88} +(48.8691 + 48.8691i) q^{89} +(-35.6773 + 161.868i) q^{90} +(31.2032 + 39.6671i) q^{91} +(40.9082 + 18.9539i) q^{92} +(-2.67190 + 6.45055i) q^{93} +(-122.120 + 21.6873i) q^{94} +225.069 q^{95} +(-9.60584 + 5.07553i) q^{96} -36.2191i q^{97} +(64.8719 + 73.4550i) q^{98} +(42.8253 - 103.389i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 8q^{2} - 8q^{4} - 4q^{7} - 8q^{8} - 8q^{9} + O(q^{10}) \) \( 240q - 8q^{2} - 8q^{4} - 4q^{7} - 8q^{8} - 8q^{9} - 8q^{11} + 12q^{14} - 112q^{16} - 176q^{18} - 4q^{21} - 192q^{22} + 128q^{23} - 8q^{25} + 56q^{28} - 8q^{29} - 16q^{30} - 8q^{32} + 92q^{35} + 192q^{36} - 8q^{37} - 8q^{39} - 424q^{42} + 128q^{43} - 16q^{44} - 8q^{46} - 320q^{50} - 80q^{51} - 192q^{53} + 608q^{56} - 8q^{57} - 712q^{58} + 264q^{60} + 496q^{63} - 272q^{64} - 16q^{65} + 304q^{67} + 320q^{70} + 504q^{71} - 8q^{72} + 232q^{74} + 164q^{77} + 560q^{78} - 1000q^{84} - 208q^{85} - 8q^{86} - 800q^{88} + 188q^{91} + 1560q^{92} + 64q^{93} - 16q^{95} - 376q^{98} + 64q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{7}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.96919 + 0.349710i −0.984594 + 0.174855i
\(3\) 0.313666 + 0.129925i 0.104555 + 0.0433082i 0.434348 0.900745i \(-0.356979\pi\)
−0.329793 + 0.944053i \(0.606979\pi\)
\(4\) 3.75541 1.37729i 0.938852 0.344322i
\(5\) 3.56967 + 8.61795i 0.713934 + 1.72359i 0.689928 + 0.723878i \(0.257642\pi\)
0.0240066 + 0.999712i \(0.492358\pi\)
\(6\) −0.663104 0.146154i −0.110517 0.0243590i
\(7\) −3.42679 + 6.10386i −0.489541 + 0.871980i
\(8\) −6.91345 + 4.02544i −0.864181 + 0.503181i
\(9\) −6.28246 6.28246i −0.698051 0.698051i
\(10\) −10.0431 15.7220i −1.00431 1.57220i
\(11\) 4.82010 + 11.6368i 0.438191 + 1.05789i 0.976573 + 0.215186i \(0.0690357\pi\)
−0.538382 + 0.842701i \(0.680964\pi\)
\(12\) 1.35689 + 0.0559113i 0.113074 + 0.00465927i
\(13\) 2.75909 6.66103i 0.212238 0.512387i −0.781529 0.623869i \(-0.785560\pi\)
0.993766 + 0.111482i \(0.0355598\pi\)
\(14\) 4.61341 13.2180i 0.329529 0.944145i
\(15\) 3.16695i 0.211130i
\(16\) 12.2061 10.3446i 0.762884 0.646535i
\(17\) −28.4801 −1.67530 −0.837649 0.546209i \(-0.816070\pi\)
−0.837649 + 0.546209i \(0.816070\pi\)
\(18\) 14.5684 + 10.1743i 0.809354 + 0.565239i
\(19\) 9.23350 22.2916i 0.485974 1.17324i −0.470756 0.882264i \(-0.656019\pi\)
0.956729 0.290980i \(-0.0939814\pi\)
\(20\) 25.2750 + 27.4474i 1.26375 + 1.37237i
\(21\) −1.86791 + 1.46935i −0.0889481 + 0.0699690i
\(22\) −13.5612 21.2293i −0.616417 0.964969i
\(23\) 7.97013 + 7.97013i 0.346527 + 0.346527i 0.858814 0.512287i \(-0.171202\pi\)
−0.512287 + 0.858814i \(0.671202\pi\)
\(24\) −2.69152 + 0.364417i −0.112147 + 0.0151840i
\(25\) −43.8488 + 43.8488i −1.75395 + 1.75395i
\(26\) −3.10374 + 14.0817i −0.119375 + 0.541604i
\(27\) −2.32367 5.60983i −0.0860618 0.207772i
\(28\) −4.46220 + 27.6422i −0.159364 + 0.987220i
\(29\) −1.69500 + 4.09210i −0.0584484 + 0.141107i −0.950406 0.311013i \(-0.899332\pi\)
0.891957 + 0.452119i \(0.149332\pi\)
\(30\) −1.10751 6.23632i −0.0369171 0.207877i
\(31\) 20.5650i 0.663388i 0.943387 + 0.331694i \(0.107620\pi\)
−0.943387 + 0.331694i \(0.892380\pi\)
\(32\) −20.4186 + 24.6390i −0.638082 + 0.769969i
\(33\) 4.27630i 0.129585i
\(34\) 56.0826 9.95976i 1.64949 0.292934i
\(35\) −64.8353 7.74311i −1.85244 0.221232i
\(36\) −32.2459 14.9404i −0.895720 0.415011i
\(37\) −48.6158 + 20.1373i −1.31394 + 0.544252i −0.926032 0.377446i \(-0.876803\pi\)
−0.387909 + 0.921698i \(0.626803\pi\)
\(38\) −10.3869 + 47.1255i −0.273339 + 1.24014i
\(39\) 1.73087 1.73087i 0.0443812 0.0443812i
\(40\) −59.3698 45.2103i −1.48425 1.13026i
\(41\) 3.17782 3.17782i 0.0775079 0.0775079i −0.667290 0.744798i \(-0.732546\pi\)
0.744798 + 0.667290i \(0.232546\pi\)
\(42\) 3.16442 3.54665i 0.0753433 0.0844441i
\(43\) 9.26217 + 22.3609i 0.215399 + 0.520020i 0.994237 0.107206i \(-0.0341904\pi\)
−0.778838 + 0.627226i \(0.784190\pi\)
\(44\) 34.1286 + 37.0621i 0.775650 + 0.842319i
\(45\) 31.7156 76.5682i 0.704791 1.70152i
\(46\) −18.4819 12.9074i −0.401781 0.280597i
\(47\) 62.0152 1.31947 0.659736 0.751497i \(-0.270668\pi\)
0.659736 + 0.751497i \(0.270668\pi\)
\(48\) 5.17267 1.65886i 0.107764 0.0345595i
\(49\) −25.5142 41.8333i −0.520699 0.853740i
\(50\) 71.0123 101.681i 1.42025 2.03362i
\(51\) −8.93323 3.70026i −0.175161 0.0725542i
\(52\) 1.18734 28.8150i 0.0228334 0.554134i
\(53\) 10.5075 + 25.3673i 0.198254 + 0.478628i 0.991474 0.130308i \(-0.0415967\pi\)
−0.793219 + 0.608936i \(0.791597\pi\)
\(54\) 6.53756 + 10.2342i 0.121066 + 0.189522i
\(55\) −83.0788 + 83.0788i −1.51052 + 1.51052i
\(56\) −0.879818 55.9931i −0.0157110 0.999877i
\(57\) 5.79247 5.79247i 0.101622 0.101622i
\(58\) 1.90673 8.65087i 0.0328747 0.149153i
\(59\) 31.4969 + 76.0403i 0.533846 + 1.28882i 0.928958 + 0.370186i \(0.120706\pi\)
−0.395112 + 0.918633i \(0.629294\pi\)
\(60\) 4.36180 + 11.8932i 0.0726967 + 0.198220i
\(61\) 55.6216 + 23.0392i 0.911830 + 0.377692i 0.788757 0.614705i \(-0.210725\pi\)
0.123073 + 0.992398i \(0.460725\pi\)
\(62\) −7.19179 40.4964i −0.115997 0.653168i
\(63\) 59.8759 16.8186i 0.950411 0.266962i
\(64\) 31.5916 55.6594i 0.493619 0.869678i
\(65\) 67.2535 1.03467
\(66\) −1.49547 8.42085i −0.0226586 0.127589i
\(67\) −24.5928 + 59.3723i −0.367057 + 0.886153i 0.627173 + 0.778880i \(0.284212\pi\)
−0.994230 + 0.107273i \(0.965788\pi\)
\(68\) −106.954 + 39.2253i −1.57286 + 0.576842i
\(69\) 1.46444 + 3.53547i 0.0212238 + 0.0512388i
\(70\) 130.381 7.42589i 1.86258 0.106084i
\(71\) 33.2598 33.2598i 0.468447 0.468447i −0.432964 0.901411i \(-0.642532\pi\)
0.901411 + 0.432964i \(0.142532\pi\)
\(72\) 68.7231 + 18.1438i 0.954488 + 0.251997i
\(73\) 30.5845 30.5845i 0.418966 0.418966i −0.465881 0.884847i \(-0.654263\pi\)
0.884847 + 0.465881i \(0.154263\pi\)
\(74\) 88.6915 56.6556i 1.19853 0.765616i
\(75\) −19.4509 + 8.05684i −0.259346 + 0.107425i
\(76\) 3.97351 96.4313i 0.0522830 1.26883i
\(77\) −87.5466 10.4555i −1.13697 0.135785i
\(78\) −2.80310 + 4.01370i −0.0359372 + 0.0514577i
\(79\) 5.67574i 0.0718448i −0.999355 0.0359224i \(-0.988563\pi\)
0.999355 0.0359224i \(-0.0114369\pi\)
\(80\) 132.721 + 68.2653i 1.65901 + 0.853316i
\(81\) 77.9011i 0.961742i
\(82\) −5.14641 + 7.36905i −0.0627612 + 0.0898664i
\(83\) 27.1352 65.5101i 0.326930 0.789278i −0.671888 0.740653i \(-0.734516\pi\)
0.998817 0.0486246i \(-0.0154838\pi\)
\(84\) −4.99104 + 8.09066i −0.0594172 + 0.0963173i
\(85\) −101.664 245.440i −1.19605 2.88753i
\(86\) −26.0588 40.7937i −0.303009 0.474345i
\(87\) −1.06333 + 1.06333i −0.0122222 + 0.0122222i
\(88\) −80.1666 61.0471i −0.910984 0.693717i
\(89\) 48.8691 + 48.8691i 0.549091 + 0.549091i 0.926178 0.377087i \(-0.123074\pi\)
−0.377087 + 0.926178i \(0.623074\pi\)
\(90\) −35.6773 + 161.868i −0.396415 + 1.79854i
\(91\) 31.2032 + 39.6671i 0.342892 + 0.435902i
\(92\) 40.9082 + 18.9539i 0.444655 + 0.206021i
\(93\) −2.67190 + 6.45055i −0.0287302 + 0.0693607i
\(94\) −122.120 + 21.6873i −1.29915 + 0.230716i
\(95\) 225.069 2.36914
\(96\) −9.60584 + 5.07553i −0.100061 + 0.0528702i
\(97\) 36.2191i 0.373392i −0.982418 0.186696i \(-0.940222\pi\)
0.982418 0.186696i \(-0.0597780\pi\)
\(98\) 64.8719 + 73.4550i 0.661958 + 0.749541i
\(99\) 42.8253 103.389i 0.432579 1.04434i
\(100\) −104.278 + 225.063i −1.04278 + 2.25063i
\(101\) −24.2605 58.5699i −0.240202 0.579900i 0.757100 0.653299i \(-0.226615\pi\)
−0.997303 + 0.0733987i \(0.976615\pi\)
\(102\) 18.8852 + 4.16248i 0.185149 + 0.0408086i
\(103\) −85.8116 85.8116i −0.833123 0.833123i 0.154820 0.987943i \(-0.450520\pi\)
−0.987943 + 0.154820i \(0.950520\pi\)
\(104\) 7.73878 + 57.1573i 0.0744114 + 0.549589i
\(105\) −19.3306 10.8525i −0.184101 0.103357i
\(106\) −29.5624 46.2784i −0.278890 0.436588i
\(107\) 39.6273 + 95.6689i 0.370349 + 0.894102i 0.993691 + 0.112152i \(0.0357745\pi\)
−0.623342 + 0.781949i \(0.714226\pi\)
\(108\) −16.4527 17.8668i −0.152340 0.165434i
\(109\) −49.8915 20.6657i −0.457720 0.189594i 0.141896 0.989882i \(-0.454680\pi\)
−0.599616 + 0.800288i \(0.704680\pi\)
\(110\) 134.544 192.651i 1.22313 1.75137i
\(111\) −17.8655 −0.160950
\(112\) 21.3139 + 109.953i 0.190302 + 0.981726i
\(113\) 56.2478i 0.497769i 0.968533 + 0.248884i \(0.0800639\pi\)
−0.968533 + 0.248884i \(0.919936\pi\)
\(114\) −9.38078 + 13.4321i −0.0822875 + 0.117826i
\(115\) −40.2354 + 97.1369i −0.349873 + 0.844668i
\(116\) −0.729421 + 17.7020i −0.00628811 + 0.152603i
\(117\) −59.1815 + 24.5138i −0.505825 + 0.209520i
\(118\) −88.6154 138.723i −0.750978 1.17562i
\(119\) 97.5951 173.838i 0.820127 1.46083i
\(120\) −12.7484 21.8945i −0.106236 0.182454i
\(121\) −26.6207 + 26.6207i −0.220006 + 0.220006i
\(122\) −117.587 25.9172i −0.963824 0.212436i
\(123\) 1.40965 0.583897i 0.0114606 0.00474713i
\(124\) 28.3240 + 77.2300i 0.228419 + 0.622822i
\(125\) −318.964 132.119i −2.55171 1.05695i
\(126\) −112.025 + 54.0581i −0.889089 + 0.429033i
\(127\) −60.4459 −0.475952 −0.237976 0.971271i \(-0.576484\pi\)
−0.237976 + 0.971271i \(0.576484\pi\)
\(128\) −42.7452 + 120.652i −0.333947 + 0.942592i
\(129\) 8.21723i 0.0636994i
\(130\) −132.435 + 23.5192i −1.01873 + 0.180917i
\(131\) 75.9152 + 31.4451i 0.579505 + 0.240039i 0.653128 0.757247i \(-0.273456\pi\)
−0.0736233 + 0.997286i \(0.523456\pi\)
\(132\) 5.88971 + 16.0593i 0.0446190 + 0.121661i
\(133\) 104.424 + 132.749i 0.785141 + 0.998111i
\(134\) 27.6648 125.515i 0.206454 0.936683i
\(135\) 40.0505 40.0505i 0.296671 0.296671i
\(136\) 196.895 114.645i 1.44776 0.842977i
\(137\) 20.8208 + 20.8208i 0.151977 + 0.151977i 0.779000 0.627023i \(-0.215727\pi\)
−0.627023 + 0.779000i \(0.715727\pi\)
\(138\) −4.12015 6.44989i −0.0298562 0.0467383i
\(139\) 86.9201 36.0035i 0.625325 0.259018i −0.0474405 0.998874i \(-0.515106\pi\)
0.672765 + 0.739856i \(0.265106\pi\)
\(140\) −254.147 + 60.2184i −1.81534 + 0.430131i
\(141\) 19.4521 + 8.05731i 0.137958 + 0.0571441i
\(142\) −53.8635 + 77.1260i −0.379320 + 0.543141i
\(143\) 90.8119 0.635048
\(144\) −141.674 11.6954i −0.983846 0.0812177i
\(145\) −41.3161 −0.284939
\(146\) −49.5309 + 70.9223i −0.339253 + 0.485769i
\(147\) −2.56777 16.4366i −0.0174678 0.111814i
\(148\) −154.837 + 142.582i −1.04620 + 0.963391i
\(149\) −59.4769 143.590i −0.399174 0.963691i −0.987863 0.155331i \(-0.950356\pi\)
0.588689 0.808360i \(-0.299644\pi\)
\(150\) 35.4850 22.6676i 0.236567 0.151118i
\(151\) 138.333 + 138.333i 0.916112 + 0.916112i 0.996744 0.0806316i \(-0.0256937\pi\)
−0.0806316 + 0.996744i \(0.525694\pi\)
\(152\) 25.8984 + 191.281i 0.170384 + 1.25843i
\(153\) 178.925 + 178.925i 1.16944 + 1.16944i
\(154\) 176.052 10.0271i 1.14320 0.0651112i
\(155\) −177.228 + 73.4104i −1.14341 + 0.473615i
\(156\) 4.11620 8.88401i 0.0263859 0.0569488i
\(157\) 233.689 + 96.7972i 1.48847 + 0.616543i 0.970983 0.239150i \(-0.0768688\pi\)
0.517484 + 0.855693i \(0.326869\pi\)
\(158\) 1.98486 + 11.1766i 0.0125624 + 0.0707380i
\(159\) 9.32203i 0.0586291i
\(160\) −285.225 88.0135i −1.78266 0.550084i
\(161\) −75.9605 + 21.3366i −0.471804 + 0.132525i
\(162\) −27.2428 153.402i −0.168165 0.946925i
\(163\) −52.6629 + 127.140i −0.323086 + 0.779998i 0.675986 + 0.736915i \(0.263718\pi\)
−0.999071 + 0.0430830i \(0.986282\pi\)
\(164\) 7.55723 16.3108i 0.0460807 0.0994560i
\(165\) −36.8530 + 15.2650i −0.223351 + 0.0925152i
\(166\) −30.5247 + 138.491i −0.183884 + 0.834284i
\(167\) 133.182 + 133.182i 0.797496 + 0.797496i 0.982700 0.185204i \(-0.0592947\pi\)
−0.185204 + 0.982700i \(0.559295\pi\)
\(168\) 6.99892 17.6774i 0.0416602 0.105223i
\(169\) 82.7443 + 82.7443i 0.489611 + 0.489611i
\(170\) 286.029 + 447.764i 1.68252 + 2.63391i
\(171\) −198.055 + 82.0372i −1.15822 + 0.479749i
\(172\) 65.5806 + 71.2174i 0.381282 + 0.414055i
\(173\) −42.4530 + 102.491i −0.245393 + 0.592432i −0.997802 0.0662646i \(-0.978892\pi\)
0.752409 + 0.658696i \(0.228892\pi\)
\(174\) 1.72204 2.46575i 0.00989678 0.0141710i
\(175\) −117.387 417.908i −0.670780 2.38805i
\(176\) 179.212 + 92.1781i 1.01825 + 0.523739i
\(177\) 27.9435i 0.157873i
\(178\) −113.323 79.1425i −0.636643 0.444621i
\(179\) −267.981 111.001i −1.49710 0.620119i −0.524251 0.851564i \(-0.675655\pi\)
−0.972848 + 0.231445i \(0.925655\pi\)
\(180\) 13.6484 331.226i 0.0758242 1.84015i
\(181\) 242.634 100.502i 1.34052 0.555262i 0.406883 0.913480i \(-0.366616\pi\)
0.933638 + 0.358218i \(0.116616\pi\)
\(182\) −75.3170 67.1999i −0.413829 0.369230i
\(183\) 14.4533 + 14.4533i 0.0789795 + 0.0789795i
\(184\) −87.1844 23.0178i −0.473828 0.125097i
\(185\) −347.085 347.085i −1.87614 1.87614i
\(186\) 3.00566 13.6367i 0.0161595 0.0733158i
\(187\) −137.277 331.415i −0.734100 1.77227i
\(188\) 232.892 85.4129i 1.23879 0.454324i
\(189\) 42.2044 + 5.04036i 0.223304 + 0.0266686i
\(190\) −443.203 + 78.7088i −2.33265 + 0.414257i
\(191\) 135.663 0.710276 0.355138 0.934814i \(-0.384434\pi\)
0.355138 + 0.934814i \(0.384434\pi\)
\(192\) 17.1407 13.3539i 0.0892747 0.0695518i
\(193\) 105.792 0.548143 0.274071 0.961709i \(-0.411630\pi\)
0.274071 + 0.961709i \(0.411630\pi\)
\(194\) 12.6662 + 71.3222i 0.0652895 + 0.367640i
\(195\) 21.0951 + 8.73789i 0.108180 + 0.0448097i
\(196\) −153.433 121.960i −0.782821 0.622247i
\(197\) 222.408 92.1244i 1.12897 0.467636i 0.261542 0.965192i \(-0.415769\pi\)
0.867432 + 0.497556i \(0.165769\pi\)
\(198\) −48.1748 + 218.570i −0.243307 + 1.10389i
\(199\) 36.6606 + 36.6606i 0.184224 + 0.184224i 0.793194 0.608970i \(-0.208417\pi\)
−0.608970 + 0.793194i \(0.708417\pi\)
\(200\) 126.636 479.658i 0.633179 2.39829i
\(201\) −15.4278 + 15.4278i −0.0767555 + 0.0767555i
\(202\) 68.2559 + 106.851i 0.337900 + 0.528966i
\(203\) −19.1692 24.3688i −0.0944295 0.120043i
\(204\) −38.6442 1.59236i −0.189433 0.00780567i
\(205\) 38.7301 + 16.0425i 0.188927 + 0.0782562i
\(206\) 198.988 + 138.970i 0.965963 + 0.674612i
\(207\) 100.144i 0.483787i
\(208\) −35.2276 109.847i −0.169363 0.528111i
\(209\) 303.909 1.45411
\(210\) 41.8608 + 14.6104i 0.199337 + 0.0695735i
\(211\) −1.07151 0.443834i −0.00507825 0.00210348i 0.380143 0.924928i \(-0.375875\pi\)
−0.385221 + 0.922824i \(0.625875\pi\)
\(212\) 74.3979 + 80.7926i 0.350933 + 0.381097i
\(213\) 14.7537 6.11119i 0.0692663 0.0286910i
\(214\) −111.490 174.532i −0.520982 0.815570i
\(215\) −159.642 + 159.642i −0.742520 + 0.742520i
\(216\) 38.6466 + 29.4295i 0.178920 + 0.136248i
\(217\) −125.526 70.4720i −0.578461 0.324756i
\(218\) 105.473 + 23.2472i 0.483820 + 0.106638i
\(219\) 13.5670 5.61964i 0.0619498 0.0256604i
\(220\) −197.571 + 426.418i −0.898050 + 1.93826i
\(221\) −78.5791 + 189.707i −0.355561 + 0.858401i
\(222\) 35.1805 6.24773i 0.158471 0.0281429i
\(223\) 355.847i 1.59573i 0.602837 + 0.797864i \(0.294037\pi\)
−0.602837 + 0.797864i \(0.705963\pi\)
\(224\) −80.4227 209.065i −0.359030 0.933326i
\(225\) 550.957 2.44870
\(226\) −19.6704 110.763i −0.0870373 0.490100i
\(227\) 48.7456 + 20.1911i 0.214738 + 0.0889476i 0.487460 0.873146i \(-0.337924\pi\)
−0.272721 + 0.962093i \(0.587924\pi\)
\(228\) 13.7752 29.7310i 0.0604174 0.130399i
\(229\) −145.476 351.209i −0.635265 1.53366i −0.832920 0.553393i \(-0.813333\pi\)
0.197656 0.980271i \(1.56333\pi\)
\(230\) 45.2614 205.352i 0.196789 0.892833i
\(231\) −26.1020 14.6540i −0.112996 0.0634372i
\(232\) −4.75420 35.1137i −0.0204922 0.151352i
\(233\) −113.896 113.896i −0.488825 0.488825i 0.419110 0.907935i \(-0.362342\pi\)
−0.907935 + 0.419110i \(0.862342\pi\)
\(234\) 107.967 68.9686i 0.461397 0.294738i
\(235\) 221.374 + 534.444i 0.942017 + 2.27423i
\(236\) 223.013 + 242.182i 0.944971 + 1.02619i
\(237\) 0.737419 1.78029i 0.00311147 0.00751176i
\(238\) −131.390 + 376.450i −0.552060 + 1.58172i
\(239\) 127.746i 0.534504i −0.963627 0.267252i \(-0.913884\pi\)
0.963627 0.267252i \(-0.0861156\pi\)
\(240\) 32.7607 + 38.6562i 0.136503 + 0.161068i
\(241\) −127.145 −0.527573 −0.263786 0.964581i \(-0.584971\pi\)
−0.263786 + 0.964581i \(0.584971\pi\)
\(242\) 43.1117 61.7307i 0.178147 0.255086i
\(243\) −31.0343 + 74.9234i −0.127713 + 0.308327i
\(244\) 240.614 + 9.91461i 0.986121 + 0.0406337i
\(245\) 269.440 369.212i 1.09975 1.50699i
\(246\) −2.57168 + 1.64277i −0.0104540 + 0.00667794i
\(247\) −123.009 123.009i −0.498013 0.498013i
\(248\) −82.7833 142.175i −0.333804 0.573287i
\(249\) 17.0228 17.0228i 0.0683645 0.0683645i
\(250\) 674.304 + 148.623i 2.69722 + 0.594492i
\(251\) −64.6701 156.127i −0.257650 0.622022i 0.741132 0.671359i \(-0.234289\pi\)
−0.998782 + 0.0493374i \(0.984289\pi\)
\(252\) 201.694 145.627i 0.800374 0.577885i
\(253\) −54.3296 + 131.163i −0.214741 + 0.518432i
\(254\) 119.029 21.1385i 0.468619 0.0832225i
\(255\) 90.1948i 0.353705i
\(256\) 41.9802 252.534i 0.163985 0.986463i
\(257\) 489.486i 1.90462i 0.305140 + 0.952308i \(0.401297\pi\)
−0.305140 + 0.952308i \(0.598703\pi\)
\(258\) −2.87364 16.1813i −0.0111382 0.0627181i
\(259\) 43.6807 365.751i 0.168651 1.41216i
\(260\) 252.564 92.6275i 0.971401 0.356260i
\(261\) 36.3572 15.0596i 0.139300 0.0576998i
\(262\) −160.488 35.3730i −0.612549 0.135012i
\(263\) −97.0386 + 97.0386i −0.368968 + 0.368968i −0.867101 0.498133i \(-0.834019\pi\)
0.498133 + 0.867101i \(0.334019\pi\)
\(264\) −17.2140 29.5640i −0.0652046 0.111985i
\(265\) −181.106 + 181.106i −0.683418 + 0.683418i
\(266\) −252.054 224.889i −0.947570 0.845448i
\(267\) 8.97928 + 21.6779i 0.0336303 + 0.0811906i
\(268\) −10.5832 + 256.838i −0.0394894 + 0.958352i
\(269\) −110.862 + 267.644i −0.412125 + 0.994959i 0.572441 + 0.819946i \(0.305997\pi\)
−0.984566 + 0.175013i \(0.944003\pi\)
\(270\) −64.8610 + 92.8731i −0.240226 + 0.343974i
\(271\) 170.029 0.627412 0.313706 0.949520i \(-0.398429\pi\)
0.313706 + 0.949520i \(0.398429\pi\)
\(272\) −347.632 + 294.614i −1.27806 + 1.08314i
\(273\) 4.63365 + 16.4963i 0.0169731 + 0.0604259i
\(274\) −48.2814 33.7189i −0.176209 0.123062i
\(275\) −721.614 298.902i −2.62405 1.08692i
\(276\) 10.3689 + 11.2602i 0.0375686 + 0.0407978i
\(277\) −13.8129 33.3472i −0.0498660 0.120387i 0.896984 0.442064i \(-0.145754\pi\)
−0.946850 + 0.321677i \(0.895754\pi\)
\(278\) −158.571 + 101.294i −0.570400 + 0.364369i
\(279\) 129.199 129.199i 0.463078 0.463078i
\(280\) 479.405 207.459i 1.71216 0.740926i
\(281\) −301.630 + 301.630i −1.07342 + 1.07342i −0.0763332 + 0.997082i \(0.524321\pi\)
−0.997082 + 0.0763332i \(0.975679\pi\)
\(282\) −41.1225 9.06378i −0.145825 0.0321411i
\(283\) −118.744 286.673i −0.419590 1.01298i −0.982467 0.186439i \(-0.940305\pi\)
0.562877 0.826541i \(1.69031\pi\)
\(284\) 79.0956 170.712i 0.278506 0.601099i
\(285\) 70.5964 + 29.2420i 0.247707 + 0.102604i
\(286\) −178.826 + 31.7578i −0.625265 + 0.111041i
\(287\) 8.50726 + 30.2867i 0.0296420 + 0.105529i
\(288\) 283.072 26.5144i 0.982890 0.0920638i
\(289\) 522.114 1.80662
\(290\) 81.3592 14.4486i 0.280549 0.0498229i
\(291\) 4.70575 11.3607i 0.0161710 0.0390402i
\(292\) 72.7335 156.981i 0.249087 0.537606i
\(293\) −37.6892 90.9897i −0.128632 0.310545i 0.846422 0.532513i \(-0.178752\pi\)
−0.975054 + 0.221968i \(0.928752\pi\)
\(294\) 10.8045 + 31.4688i 0.0367499 + 0.107037i
\(295\) −542.878 + 542.878i −1.84026 + 1.84026i
\(296\) 255.041 334.919i 0.861626 1.13148i
\(297\) 54.0799 54.0799i 0.182087 0.182087i
\(298\) 167.336 + 261.956i 0.561530 + 0.879047i
\(299\) 75.0796 31.0990i 0.251102 0.104010i
\(300\) −61.9496 + 57.0463i −0.206499 + 0.190154i
\(301\) −168.227 20.0909i −0.558894 0.0667473i
\(302\) −320.780 224.027i −1.06219 0.741812i
\(303\) 21.5234i 0.0710344i
\(304\) −117.892 367.611i −0.387802 1.20925i
\(305\) 561.587i 1.84127i
\(306\) −414.908 289.765i −1.35591 0.946943i
\(307\) 204.185 492.946i 0.665097 1.60569i −0.124613 0.992205i \(-0.539769\pi\)
0.789710 0.613481i \(-0.210231\pi\)
\(308\) −343.173 + 81.3124i −1.11420 + 0.264001i
\(309\) −15.7671 38.0653i −0.0510264 0.123189i
\(310\) 323.324 206.537i 1.04298 0.666249i
\(311\) 226.061 226.061i 0.726884 0.726884i −0.243114 0.969998i \(-0.578169\pi\)
0.969998 + 0.243114i \(0.0781690\pi\)
\(312\) −4.99875 + 18.9338i −0.0160216 + 0.0606851i
\(313\) −253.187 253.187i −0.808903 0.808903i 0.175565 0.984468i \(-0.443825\pi\)
−0.984468 + 0.175565i \(0.943825\pi\)
\(314\) −494.029 108.889i −1.57334 0.346779i
\(315\) 358.679 + 455.971i 1.13866 + 1.44753i
\(316\) −7.81714 21.3147i −0.0247378 0.0674516i
\(317\) −62.9850 + 152.059i −0.198691 + 0.479682i −0.991550 0.129722i \(-0.958591\pi\)
0.792860 + 0.609404i \(0.208591\pi\)
\(318\) −3.26001 18.3568i −0.0102516 0.0577259i
\(319\) −55.7888 −0.174887
\(320\) 592.442 + 73.5689i 1.85138 + 0.229903i
\(321\) 35.1567i 0.109522i
\(322\) 142.119 68.5799i 0.441363 0.212981i
\(323\) −262.971 + 634.867i −0.814150 + 1.96553i
\(324\) 107.292 + 292.550i 0.331149 + 0.902933i
\(325\) 171.096 + 413.062i 0.526448 + 1.27096i
\(326\) 59.2413 268.779i 0.181722 0.824474i
\(327\) −12.9643 12.9643i −0.0396461 0.0396461i
\(328\) −9.17757 + 34.7619i −0.0279804 + 0.105981i
\(329\) −212.513 + 378.532i −0.645936 + 1.15055i
\(330\) 67.2321 42.9475i 0.203734 0.130144i
\(331\) −135.501 327.128i −0.409368 0.988301i −0.985305 0.170807i \(-0.945363\pi\)
0.575937 0.817494i \(-0.304637\pi\)
\(332\) 11.6772 283.390i 0.0351724 0.853584i
\(333\) 431.939 + 178.915i 1.29711 + 0.537282i
\(334\) −308.835 215.685i −0.924656 0.645764i
\(335\) −599.455 −1.78942
\(336\) −7.60021 + 37.2578i −0.0226197 + 0.110886i
\(337\) 235.612i 0.699146i −0.936909 0.349573i \(-0.886327\pi\)
0.936909 0.349573i \(-0.113673\pi\)
\(338\) −191.875 134.003i −0.567679 0.396457i
\(339\) −7.30799 + 17.6430i −0.0215575 + 0.0520444i
\(340\) −719.833 781.704i −2.11716 2.29913i
\(341\) −239.310 + 99.1254i −0.701789 + 0.290690i
\(342\) 361.319 230.808i 1.05649 0.674879i
\(343\) 342.776 12.3815i 0.999348 0.0360978i
\(344\) −154.046 117.306i −0.447808 0.341007i
\(345\) −25.2410 + 25.2410i −0.0731622 + 0.0731622i
\(346\) 47.7560 216.670i 0.138023 0.626213i
\(347\) 398.588 165.100i 1.14867 0.475794i 0.274581 0.961564i \(-0.411461\pi\)
0.874087 + 0.485770i \(0.161461\pi\)
\(348\) −2.52872 + 5.45775i −0.00726644 + 0.0156832i
\(349\) −166.952 69.1538i −0.478372 0.198148i 0.130450 0.991455i \(-0.458358\pi\)
−0.608822 + 0.793307i \(0.708358\pi\)
\(350\) 377.303 + 781.888i 1.07801 + 2.23397i
\(351\) −43.7785 −0.124725
\(352\) −385.138 118.844i −1.09414 0.337625i
\(353\) 318.522i 0.902330i 0.892441 + 0.451165i \(0.148991\pi\)
−0.892441 + 0.451165i \(0.851009\pi\)
\(354\) −9.77211 55.0260i −0.0276048 0.155441i
\(355\) 405.357 + 167.905i 1.14185 + 0.472971i
\(356\) 250.830 + 116.216i 0.704580 + 0.326451i
\(357\) 53.1982 41.8472i 0.149015 0.117219i
\(358\) 566.523 + 124.867i 1.58247 + 0.348790i
\(359\) −99.9686 + 99.9686i −0.278464 + 0.278464i −0.832496 0.554032i \(-0.813089\pi\)
0.554032 + 0.832496i \(0.313089\pi\)
\(360\) 88.9569 + 657.020i 0.247102 + 1.82505i
\(361\) −156.394 156.394i −0.433224 0.433224i
\(362\) −442.646 + 282.760i −1.22278 + 0.781104i
\(363\) −11.8087 + 4.89132i −0.0325309 + 0.0134747i
\(364\) 171.814 + 105.990i 0.472016 + 0.291182i
\(365\) 372.752 + 154.399i 1.02124 + 0.423011i
\(366\) −33.5156 23.4067i −0.0915727 0.0639528i
\(367\) 267.932 0.730059 0.365030 0.930996i \(-0.381059\pi\)
0.365030 + 0.930996i \(0.381059\pi\)
\(368\) 179.732 + 14.8371i 0.488402 + 0.0403182i
\(369\) −39.9290 −0.108209
\(370\) 804.855 + 562.097i 2.17528 + 1.51918i
\(371\) −190.845 22.7922i −0.514407 0.0614344i
\(372\) −1.14982 + 27.9044i −0.00309090 + 0.0750119i
\(373\) 64.2664 + 155.153i 0.172296 + 0.415959i 0.986313 0.164881i \(-0.0527241\pi\)
−0.814018 + 0.580840i \(0.802724\pi\)
\(374\) 386.223 + 604.612i 1.03268 + 1.61661i
\(375\) −82.8827 82.8827i −0.221021 0.221021i
\(376\) −428.739 + 249.639i −1.14026 + 0.663933i
\(377\) 22.5809 + 22.5809i 0.0598964 + 0.0598964i
\(378\) −84.8710 + 4.83386i −0.224527 + 0.0127880i
\(379\) −112.049 + 46.4121i −0.295643 + 0.122459i −0.525575 0.850747i \(-0.676150\pi\)
0.229932 + 0.973207i \(0.426150\pi\)
\(380\) 845.225 309.985i 2.22428 0.815749i
\(381\) −18.9598 7.85341i −0.0497633 0.0206126i
\(382\) −267.145 + 47.4426i −0.699333 + 0.124195i
\(383\) 89.1249i 0.232702i −0.993208 0.116351i \(-0.962880\pi\)
0.993208 0.116351i \(-0.0371198\pi\)
\(384\) −29.0834 + 32.2907i −0.0757379 + 0.0840904i
\(385\) −222.408 791.795i −0.577683 2.05661i
\(386\) −208.323 + 36.9963i −0.539698 + 0.0958454i
\(387\) 82.2919 198.670i 0.212641 0.513360i
\(388\) −49.8841 136.017i −0.128567 0.350560i
\(389\) −451.220 + 186.901i −1.15995 + 0.480466i −0.877858 0.478921i \(-0.841028\pi\)
−0.282091 + 0.959388i \(0.591028\pi\)
\(390\) −44.5960 9.82938i −0.114349 0.0252035i
\(391\) −226.990 226.990i −0.580536 0.580536i
\(392\) 344.789 + 186.506i 0.879564 + 0.475781i
\(393\) 19.7265 + 19.7265i 0.0501947 + 0.0501947i
\(394\) −405.746 + 259.188i −1.02981 + 0.657839i
\(395\) 48.9132 20.2605i 0.123831 0.0512925i
\(396\) 18.4293 447.252i 0.0465386 1.12942i
\(397\) 118.962 287.199i 0.299651 0.723422i −0.700303 0.713846i \(-0.746952\pi\)
0.999954 0.00957633i \(-0.00304829\pi\)
\(398\) −85.0122 59.3710i −0.213598 0.149173i
\(399\) 15.5069 + 55.2060i 0.0388643 + 0.138361i
\(400\) −81.6285 + 988.822i −0.204071 + 2.47206i
\(401\) 493.856i 1.23156i −0.787918 0.615780i \(-0.788841\pi\)
0.787918 0.615780i \(-0.211159\pi\)
\(402\) 24.9851 35.7756i 0.0621519 0.0889941i
\(403\) 136.984 + 56.7407i 0.339911 + 0.140796i
\(404\) −171.776 186.540i −0.425187 0.461733i
\(405\) −671.348 + 278.081i −1.65765 + 0.686620i
\(406\) 46.2697 + 41.2831i 0.113965 + 0.101683i
\(407\) −468.666 468.666i −1.15151 1.15151i
\(408\) 76.6546 10.3786i 0.187879 0.0254378i
\(409\) 511.917 + 511.917i 1.25163 + 1.25163i 0.954989 + 0.296642i \(0.0958668\pi\)
0.296642 + 0.954989i \(0.404133\pi\)
\(410\) −81.8771 18.0465i −0.199700 0.0440158i
\(411\) 3.82565 + 9.23593i 0.00930814 + 0.0224718i
\(412\) −440.445 204.070i −1.06904 0.495316i
\(413\) −572.073 68.3212i −1.38516 0.165427i
\(414\) 35.0213 + 197.202i 0.0845925 + 0.476334i
\(415\) 661.426 1.59380
\(416\) 107.784 + 203.990i 0.259097 + 0.490361i
\(417\) 31.9416 0.0765986
\(418\) −598.453 + 106.280i −1.43171 + 0.254258i
\(419\) −502.003 207.937i −1.19810 0.496269i −0.307714 0.951479i \(-0.599564\pi\)
−0.890384 + 0.455210i \(0.849564\pi\)
\(420\) −87.5412 14.1316i −0.208432 0.0336466i
\(421\) 582.082 241.106i 1.38262 0.572699i 0.437438 0.899248i \(-0.355886\pi\)
0.945180 + 0.326549i \(0.105886\pi\)
\(422\) 2.26522 + 0.499275i 0.00536782 + 0.00118312i
\(423\) −389.608 389.608i −0.921059 0.921059i
\(424\) −174.757 133.078i −0.412164 0.313864i
\(425\) 1248.82 1248.82i 2.93839 2.93839i
\(426\) −26.9157 + 17.1936i −0.0631824 + 0.0403606i
\(427\) −331.232 + 260.556i −0.775719 + 0.610202i
\(428\) 280.580 + 304.697i 0.655562 + 0.711909i
\(429\) 28.4846 + 11.7987i 0.0663977 + 0.0275028i
\(430\) 258.537 370.193i 0.601248 0.860914i
\(431\) 74.5082i 0.172873i 0.996257 + 0.0864364i \(0.0275479\pi\)
−0.996257 + 0.0864364i \(0.972452\pi\)
\(432\) −86.3943 44.4371i −0.199987 0.102864i
\(433\) −38.1151 −0.0880256 −0.0440128 0.999031i \(-0.514014\pi\)
−0.0440128 + 0.999031i \(0.514014\pi\)
\(434\) 271.829 + 94.8749i 0.626334 + 0.218606i
\(435\) −12.9595 5.36798i −0.0297919 0.0123402i
\(436\) −215.825 8.89320i −0.495012 0.0203973i
\(437\) 251.259 104.075i 0.574964 0.238158i
\(438\) −24.7507 + 15.8106i −0.0565085 + 0.0360973i
\(439\) −576.013 + 576.013i −1.31210 + 1.31210i −0.392239 + 0.919863i \(0.628299\pi\)
−0.919863 + 0.392239i \(0.871701\pi\)
\(440\) 239.932 908.790i 0.545300 2.06543i
\(441\) −102.524 + 423.108i −0.232480 + 0.959428i
\(442\) 88.3947 401.048i 0.199988 0.907348i
\(443\) −363.997 + 150.773i −0.821664 + 0.340344i −0.753597 0.657336i \(-0.771683\pi\)
−0.0680668 + 0.997681i \(0.521683\pi\)
\(444\) −67.0921 + 24.6059i −0.151108 + 0.0554187i
\(445\) −246.705 + 595.598i −0.554393 + 1.33842i
\(446\) −124.443 700.731i −0.279021 1.57114i
\(447\) 52.7668i 0.118047i
\(448\) 231.480 + 383.564i 0.516696 + 0.856169i
\(449\) 119.317 0.265739 0.132870 0.991134i \(-0.457581\pi\)
0.132870 + 0.991134i \(0.457581\pi\)
\(450\) −1084.94 + 192.675i −2.41097 + 0.428167i
\(451\) 52.2969 + 21.6621i 0.115958 + 0.0480313i
\(452\) 77.4695 + 211.233i 0.171393 + 0.467331i
\(453\) 25.4175 + 61.3632i 0.0561092 + 0.135460i
\(454\) −103.050 22.7133i −0.226983 0.0500292i
\(455\) −230.464 + 410.506i −0.506513 + 0.902211i
\(456\) −16.7287 + 63.3632i −0.0366857 + 0.138954i
\(457\) −624.559 624.559i −1.36665 1.36665i −0.865169 0.501481i \(-0.832789\pi\)
−0.501481 0.865169i \(-0.667211\pi\)
\(458\) 409.290 + 640.723i 0.893647 + 1.39896i
\(459\) 66.1782 + 159.768i 0.144179 + 0.348079i
\(460\) −17.3147 + 420.204i −0.0376407 + 0.913487i
\(461\) 74.4089 179.639i 0.161408 0.389672i −0.822398 0.568913i \(-0.807364\pi\)
0.983805 + 0.179241i \(0.0573641\pi\)
\(462\) 56.5243 + 19.7284i 0.122347 + 0.0427021i
\(463\) 265.362i 0.573136i 0.958060 + 0.286568i \(0.0925144\pi\)
−0.958060 + 0.286568i \(0.907486\pi\)
\(464\) 21.6415 + 67.4828i 0.0466412 + 0.145437i
\(465\) −65.1283 −0.140061
\(466\) 264.114 + 184.452i 0.566768 + 0.395821i
\(467\) −281.627 + 679.908i −0.603056 + 1.45591i 0.267364 + 0.963596i \(0.413848\pi\)
−0.870420 + 0.492310i \(0.836152\pi\)
\(468\) −188.488 + 173.569i −0.402752 + 0.370875i
\(469\) −278.126 353.567i −0.593018 0.753874i
\(470\) −622.828 975.005i −1.32516 2.07448i
\(471\) 60.7240 + 60.7240i 0.128926 + 0.128926i
\(472\) −523.848 398.912i −1.10985 0.845152i
\(473\) −215.563 + 215.563i −0.455736 + 0.455736i
\(474\) −0.829533 + 3.76360i −0.00175007 + 0.00794009i
\(475\) 572.584 + 1382.34i 1.20544 + 2.91019i
\(476\) 127.084 787.250i 0.266983 1.65389i
\(477\) 93.3560 225.381i 0.195715 0.472498i
\(478\) 44.6742 + 251.557i 0.0934606 + 0.526269i
\(479\) 683.503i 1.42694i −0.700687 0.713469i \(-0.747123\pi\)
0.700687 0.713469i \(-0.252877\pi\)
\(480\) −78.0304 64.6647i −0.162563 0.134718i
\(481\) 379.392i 0.788757i
\(482\) 250.373 44.4639i 0.519445 0.0922487i
\(483\) −26.5984 3.17658i −0.0550691 0.00657676i
\(484\) −63.3072 + 136.636i −0.130800 + 0.282306i
\(485\) 312.134 129.290i 0.643575 0.266578i
\(486\) 34.9109 158.391i 0.0718332 0.325908i
\(487\) 354.614 354.614i 0.728160 0.728160i −0.242093 0.970253i \(-0.577834\pi\)
0.970253 + 0.242093i \(0.0778338\pi\)
\(488\) −477.281 + 64.6212i −0.978034 + 0.132420i
\(489\) −33.0372 + 33.0372i −0.0675606 + 0.0675606i
\(490\) −401.461 + 821.273i −0.819307 + 1.67607i
\(491\) 229.520 + 554.110i 0.467454 + 1.12853i 0.965271 + 0.261251i \(0.0841352\pi\)
−0.497817 + 0.867282i \(0.665865\pi\)
\(492\) 4.48962 4.13427i 0.00912525 0.00840299i
\(493\) 48.2738 116.543i 0.0979184 0.236396i
\(494\) 285.246 + 199.211i 0.577421 + 0.403261i
\(495\) 1043.88 2.10884
\(496\) 212.736 + 251.020i 0.428903 + 0.506088i
\(497\) 89.0388 + 316.987i 0.179152 + 0.637801i
\(498\) −27.5680 + 39.4740i −0.0553574 + 0.0792651i
\(499\) 135.137 + 55.9756i 0.270816 + 0.112176i 0.513959 0.857815i \(-0.328178\pi\)
−0.243143 + 0.969990i \(0.578178\pi\)
\(500\) −1379.81 56.8557i −2.75961 0.113711i
\(501\) 24.4710 + 59.0782i 0.0488443 + 0.117921i
\(502\) 181.947 + 284.829i 0.362444 + 0.567387i
\(503\) 223.284 223.284i 0.443905 0.443905i −0.449417 0.893322i \(-0.648368\pi\)
0.893322 + 0.449417i \(0.148368\pi\)
\(504\) −346.247 + 357.301i −0.686997 + 0.708932i
\(505\) 418.151 418.151i 0.828021 0.828021i
\(506\) 61.1161 277.285i 0.120783 0.547993i
\(507\) 15.2035 + 36.7046i 0.0299873 + 0.0723956i
\(508\) −226.999 + 83.2515i −0.446848 + 0.163881i
\(509\) 597.989 + 247.695i 1.17483 + 0.486631i 0.882787 0.469774i \(-0.155665\pi\)
0.292044 + 0.956405i \(0.405665\pi\)
\(510\) 31.5420 + 177.611i 0.0618471 + 0.348256i
\(511\) 81.8769 + 291.490i 0.160229 + 0.570431i
\(512\) 5.64695 + 511.969i 0.0110292 + 0.999939i
\(513\) −146.508 −0.285591
\(514\) −171.178 963.890i −0.333031 1.87527i
\(515\) 433.201 1045.84i 0.841167 2.03076i
\(516\) 11.3175 + 30.8590i 0.0219331 + 0.0598043i
\(517\) 298.920 + 721.656i 0.578181 + 1.39585i
\(518\) 41.8911 + 735.507i 0.0808709 + 1.41990i
\(519\) −26.6322 + 26.6322i −0.0513144 + 0.0513144i
\(520\) −464.954 + 270.725i −0.894142 + 0.520625i
\(521\) −387.624 + 387.624i −0.743999 + 0.743999i −0.973345 0.229346i \(-0.926341\pi\)
0.229346 + 0.973345i \(0.426341\pi\)
\(522\) −66.3277 + 42.3698i −0.127065 + 0.0811681i
\(523\) 16.8005 6.95900i 0.0321233 0.0133059i −0.366564 0.930393i \(-0.619466\pi\)
0.398687 + 0.917087i \(0.369466\pi\)
\(524\) 328.401 + 13.5320i 0.626720 + 0.0258243i
\(525\) 17.4764 146.335i 0.0332884 0.278733i
\(526\) 157.152 225.023i 0.298768 0.427800i
\(527\) 585.693i 1.11137i
\(528\) 44.2365 + 52.1972i 0.0837812 + 0.0988584i
\(529\) 401.954i 0.759838i
\(530\) 293.297 419.966i 0.553390 0.792388i
\(531\) 279.842 675.598i 0.527009 1.27231i
\(532\) 574.987 + 354.704i 1.08080 + 0.666736i
\(533\) −12.3997 29.9355i −0.0232639 0.0561641i
\(534\) −25.2629 39.5477i −0.0473087 0.0740594i
\(535\) −683.013 + 683.013i −1.27666 + 1.27666i
\(536\) −68.9786 509.464i −0.128691 0.950493i
\(537\) −69.6346 69.6346i −0.129673 0.129673i
\(538\) 124.710 565.811i 0.231803 1.05169i
\(539\) 363.822 498.544i 0.674995 0.924942i
\(540\) 95.2448 205.567i 0.176379 0.380680i
\(541\) 37.1017 89.5715i 0.0685799 0.165567i −0.885873 0.463927i \(-0.846440\pi\)
0.954453 + 0.298361i \(0.0964399\pi\)
\(542\) −334.818 + 59.4607i −0.617746 + 0.109706i
\(543\) 89.1639 0.164206
\(544\) 581.523 701.720i 1.06898 1.28993i
\(545\) 503.732i 0.924279i
\(546\) −14.8934 30.8638i −0.0272774 0.0565272i
\(547\) 301.143 727.023i 0.550536 1.32911i −0.366542 0.930401i \(-0.619458\pi\)
0.917078 0.398709i \(-0.130542\pi\)
\(548\) 106.867 + 49.5144i 0.195013 + 0.0903547i
\(549\) −204.697 494.183i −0.372855 0.900152i
\(550\) 1525.52 + 336.239i 2.77368 + 0.611344i
\(551\) 75.5688 + 75.5688i 0.137148 + 0.137148i
\(552\) −24.3562 18.5473i −0.0441235 0.0336002i
\(553\) 34.6439 + 19.4496i 0.0626473 + 0.0351710i
\(554\) 38.8620 + 60.8365i 0.0701480 + 0.109813i
\(555\) −63.7739 153.964i −0.114908 0.277412i
\(556\) 276.833 254.922i 0.497901 0.458493i
\(557\) −232.346 96.2410i −0.417139 0.172785i 0.164235 0.986421i \(-0.447485\pi\)
−0.581374 + 0.813637i \(0.697485\pi\)
\(558\) −209.235 + 299.599i −0.374973 + 0.536915i
\(559\) 174.502 0.312167
\(560\) −871.488 + 576.179i −1.55623 + 1.02889i
\(561\) 121.789i 0.217093i
\(562\) 488.483 699.449i 0.869187 1.24457i
\(563\) 101.346 244.672i 0.180011 0.434585i −0.807957 0.589241i \(-0.799427\pi\)
0.987968 + 0.154656i \(0.0494268\pi\)
\(564\) 84.1477 + 3.46735i 0.149198 + 0.00614779i
\(565\) −484.741 + 200.786i −0.857949 + 0.355374i
\(566\) 334.082 + 522.988i 0.590250 + 0.924006i
\(567\) −475.497 266.951i −0.838620 0.470812i
\(568\) −96.0544 + 363.825i −0.169110 + 0.640537i
\(569\) 434.722 434.722i 0.764011 0.764011i −0.213034 0.977045i \(-0.568335\pi\)
0.977045 + 0.213034i \(0.0683345\pi\)
\(570\) −149.244 32.8947i −0.261831 0.0577101i
\(571\) 532.236 220.459i 0.932111 0.386093i 0.135632 0.990759i \(-0.456693\pi\)
0.796479 + 0.604666i \(0.206693\pi\)
\(572\) 341.036 125.074i 0.596216 0.218661i
\(573\) 42.5528 + 17.6259i 0.0742631 + 0.0307608i
\(574\) −27.3440 56.6652i −0.0476376 0.0987198i
\(575\) −698.961 −1.21559
\(576\) −548.151 + 151.205i −0.951650 + 0.262509i
\(577\) 1.51123i 0.00261912i 0.999999 + 0.00130956i \(0.000416846\pi\)
−0.999999 + 0.00130956i \(0.999583\pi\)
\(578\) −1028.14 + 182.588i −1.77879 + 0.315897i
\(579\) 33.1832 + 13.7449i 0.0573113 + 0.0237391i
\(580\) −155.159 + 56.9042i −0.267515 + 0.0981107i
\(581\) 306.878 + 390.118i 0.528189 + 0.671460i
\(582\) −5.29357 + 24.0170i −0.00909548 + 0.0412663i
\(583\) −244.546 + 244.546i −0.419461 + 0.419461i
\(584\) −88.3282 + 334.561i −0.151247 + 0.572878i
\(585\) −422.517 422.517i −0.722252 0.722252i
\(586\) 106.037 + 165.996i 0.180951 + 0.283269i
\(587\) 62.4095 25.8509i 0.106319 0.0440390i −0.328890 0.944368i \(-0.606674\pi\)
0.435209 + 0.900329i \(0.356674\pi\)
\(588\) −32.2810 58.1896i −0.0548997 0.0989619i
\(589\) 458.428 + 189.887i 0.778315 + 0.322389i
\(590\) 879.179 1258.88i 1.49013 2.13369i
\(591\) 81.7310 0.138293
\(592\) −385.100 + 748.708i −0.650507 + 1.26471i
\(593\) −611.272 −1.03081 −0.515406 0.856946i \(-0.672359\pi\)
−0.515406 + 0.856946i \(0.672359\pi\)
\(594\) −87.5813 + 125.406i −0.147443 + 0.211121i
\(595\) 1846.51 + 220.524i 3.10338 + 0.370629i
\(596\) −421.125 457.322i −0.706585 0.767318i
\(597\) 6.73606 + 16.2623i 0.0112832 + 0.0272400i
\(598\) −136.970 + 87.4958i −0.229047 + 0.146314i
\(599\) 432.107 + 432.107i 0.721380 + 0.721380i 0.968886 0.247506i \(-0.0796110\pi\)
−0.247506 + 0.968886i \(0.579611\pi\)
\(600\) 102.041 133.999i 0.170068 0.223332i
\(601\) −85.1801 85.1801i −0.141731 0.141731i 0.632682 0.774412i \(-0.281954\pi\)
−0.774412 + 0.632682i \(0.781954\pi\)
\(602\) 338.297 19.2678i 0.561955 0.0320064i
\(603\) 527.507 218.500i 0.874804 0.362356i
\(604\) 710.021 + 328.972i 1.17553 + 0.544656i
\(605\) −324.443 134.389i −0.536270 0.222130i
\(606\) 7.52695 + 42.3837i 0.0124207 + 0.0699401i
\(607\) 659.810i 1.08700i −0.839409 0.543501i \(-0.817098\pi\)
0.839409 0.543501i \(-0.182902\pi\)
\(608\) 360.708 + 682.668i 0.593270 + 1.12281i
\(609\) −2.84661 10.1342i −0.00467424 0.0166408i
\(610\) −196.392 1105.87i −0.321955 1.81290i
\(611\) 171.106 413.086i 0.280042 0.676081i
\(612\) 918.366 + 425.504i 1.50060 + 0.695268i
\(613\) −654.163 + 270.963i −1.06715 + 0.442028i −0.845984 0.533208i \(-0.820986\pi\)
−0.221166 + 0.975236i \(0.570986\pi\)
\(614\) −229.690 + 1042.11i −0.374088 + 1.69724i
\(615\) 10.0640 + 10.0640i 0.0163642 + 0.0163642i
\(616\) 647.337 280.131i 1.05087 0.454757i
\(617\) −239.631 239.631i −0.388381 0.388381i 0.485728 0.874110i \(-0.338554\pi\)
−0.874110 + 0.485728i \(0.838554\pi\)
\(618\) 44.3603 + 69.4437i 0.0717804 + 0.112369i
\(619\) 422.520 175.013i 0.682584 0.282736i −0.0143224 0.999897i \(-0.504559\pi\)
0.696907 + 0.717162i \(0.254559\pi\)
\(620\) −564.457 + 519.780i −0.910414 + 0.838355i
\(621\) 26.1911 63.2310i 0.0421758 0.101821i
\(622\) −366.101 + 524.212i −0.588586 + 0.842784i
\(623\) −465.755 + 130.826i −0.747600 + 0.209994i
\(624\) 3.22216 39.0323i 0.00516372 0.0625517i
\(625\) 1670.15i 2.67224i
\(626\) 587.114 + 410.030i 0.937882 + 0.655000i
\(627\) 95.3258 + 39.4852i 0.152035 + 0.0629749i
\(628\) 1010.92 + 41.6553i 1.60974 + 0.0663301i
\(629\) 1384.58 573.512i 2.20124 0.911784i
\(630\) −865.764 772.458i −1.37423 1.22612i
\(631\) 792.349 + 792.349i 1.25570 + 1.25570i 0.953124 + 0.302580i \(0.0978479\pi\)
0.302580 + 0.953124i \(0.402152\pi\)
\(632\) 22.8474 + 39.2389i 0.0361509 + 0.0620869i
\(633\) −0.278431 0.278431i −0.000439860 0.000439860i
\(634\) 70.8527 321.460i 0.111755 0.507034i
\(635\) −215.772 520.920i −0.339798 0.820346i
\(636\) 12.8391 + 35.0080i 0.0201873 + 0.0550440i
\(637\) −349.049 + 54.5294i −0.547958 + 0.0856034i
\(638\) 109.859 19.5099i 0.172192 0.0305798i
\(639\) −417.906 −0.654000
\(640\) −1192.36 + 62.3116i −1.86306 + 0.0973619i
\(641\) −156.706 −0.244472 −0.122236 0.992501i \(-0.539006\pi\)
−0.122236 + 0.992501i \(0.539006\pi\)
\(642\) −12.2946 69.2301i −0.0191505 0.107835i
\(643\) −366.890 151.971i −0.570591 0.236346i 0.0786850 0.996900i \(-0.474928\pi\)
−0.649276 + 0.760553i \(0.724928\pi\)
\(644\) −255.876 + 184.747i −0.397323 + 0.286874i
\(645\) −70.8156 + 29.3328i −0.109792 + 0.0454772i
\(646\) 295.819 1342.14i 0.457925 2.07761i
\(647\) 299.686 + 299.686i 0.463193 + 0.463193i 0.899701 0.436508i \(-0.143785\pi\)
−0.436508 + 0.899701i \(0.643785\pi\)
\(648\) −313.586 538.565i −0.483930 0.831119i
\(649\) −733.044 + 733.044i −1.12950 + 1.12950i
\(650\) −481.371 753.562i −0.740571 1.15933i
\(651\) −30.2172 38.4136i −0.0464166 0.0590071i
\(652\) −22.6628 + 549.993i −0.0347588 + 0.843547i
\(653\) 222.773 + 92.2757i 0.341154 + 0.141310i 0.546681 0.837341i \(-0.315891\pi\)
−0.205528 + 0.978651i \(0.565891\pi\)
\(654\) 30.0628 + 20.9954i 0.0459676 + 0.0321030i
\(655\) 766.482i 1.17020i
\(656\) 5.91580 71.6621i 0.00901799 0.109241i
\(657\) −384.292 −0.584919
\(658\) 286.102 819.719i 0.434805 1.24577i
\(659\) −778.053 322.280i −1.18066 0.489044i −0.295956 0.955202i \(-0.595638\pi\)
−0.884702 + 0.466157i \(0.845638\pi\)
\(660\) −117.374 + 108.083i −0.177839 + 0.163763i
\(661\) −340.474 + 141.029i −0.515089 + 0.213357i −0.625058 0.780578i \(-0.714925\pi\)
0.109969 + 0.993935i \(0.464925\pi\)
\(662\) 381.226 + 596.790i 0.575870 + 0.901496i
\(663\) −49.2952 + 49.2952i −0.0743517 + 0.0743517i
\(664\) 76.1095 + 562.132i 0.114623 + 0.846584i
\(665\) −771.263 + 1373.79i −1.15979 + 2.06585i
\(666\) −913.137 201.264i −1.37108 0.302198i
\(667\) −46.1239 + 19.1052i −0.0691513 + 0.0286434i
\(668\) 683.582 + 316.722i 1.02333 + 0.474135i
\(669\) −46.2334 + 111.617i −0.0691082 + 0.166842i
\(670\) 1180.44 209.635i 1.76185 0.312889i
\(671\) 758.307i 1.13011i
\(672\) 1.93683 76.0255i 0.00288219 0.113133i
\(673\) −771.714 −1.14668 −0.573339 0.819318i \(-0.694352\pi\)
−0.573339 + 0.819318i \(0.694352\pi\)
\(674\) 82.3959 + 463.965i 0.122249 + 0.688375i
\(675\) 347.875 + 144.094i 0.515370 + 0.213473i
\(676\) 424.701 + 196.776i 0.628256 + 0.291088i
\(677\) −162.399 392.066i −0.239881 0.579123i 0.757390 0.652963i \(-0.226474\pi\)
−0.997270 + 0.0738405i \(0.976474\pi\)
\(678\) 8.22086 37.2981i 0.0121252 0.0550120i
\(679\) 221.076 + 124.115i 0.325591 + 0.182791i
\(680\) 1690.86 + 1287.59i 2.48655 + 1.89352i
\(681\) 12.6665 + 12.6665i 0.0185999 + 0.0185999i
\(682\) 436.581 278.886i 0.640149 0.408923i
\(683\) −257.221 620.986i −0.376604 0.909203i −0.992597 0.121452i \(-0.961245\pi\)
0.615993 0.787752i \(-0.288755\pi\)
\(684\) −630.789 + 580.862i −0.922206 + 0.849214i
\(685\) −105.109 + 253.756i −0.153444 + 0.370447i
\(686\) −670.661 + 144.254i −0.977641 + 0.210283i
\(687\) 129.063i 0.187865i
\(688\) 344.369 + 177.127i 0.500536 + 0.257452i
\(689\) 197.963 0.287320
\(690\) 40.8772 58.5312i 0.0592423 0.0848279i
\(691\) −24.0392 + 58.0359i −0.0347891 + 0.0839882i −0.940319 0.340294i \(-0.889473\pi\)
0.905530 + 0.424282i \(0.139473\pi\)
\(692\) −18.2691 + 443.364i −0.0264004 + 0.640700i
\(693\) 484.321 + 615.693i 0.698877 + 0.888447i
\(694\) −727.157 + 464.504i −1.04778 + 0.669314i
\(695\) 620.553 + 620.553i 0.892881 + 0.892881i
\(696\) 3.07090 11.6317i 0.00441222 0.0167121i
\(697\) −90.5046 + 90.5046i −0.129849 + 0.129849i
\(698\) 352.944 + 77.7920i 0.505650 + 0.111450i
\(699\) −20.9274 50.5233i −0.0299391 0.0722794i
\(700\) −1016.41 1407.74i −1.45202 2.01106i
\(701\) 220.130 531.441i 0.314023 0.758119i −0.685525 0.728049i \(-0.740427\pi\)
0.999548 0.0300695i \(-0.00957287\pi\)
\(702\) 86.2081 15.3098i 0.122804 0.0218088i
\(703\) 1269.66i 1.80607i
\(704\) 799.970 + 99.3396i 1.13632 + 0.141107i
\(705\) 196.399i 0.278580i
\(706\) −111.390 627.231i −0.157777 0.888429i
\(707\) 440.638 + 52.6243i 0.623250 + 0.0744332i
\(708\) 38.4863 + 104.939i 0.0543591 + 0.148219i
\(709\) −126.194 + 52.2714i −0.177989 + 0.0737255i −0.469898 0.882720i \(-0.655709\pi\)
0.291909 + 0.956446i \(0.405709\pi\)
\(710\) −856.943 188.878i −1.20696 0.266026i
\(711\) −35.6576 + 35.6576i −0.0501513 + 0.0501513i
\(712\) −534.574 141.134i −0.750806 0.198222i
\(713\) −163.906 + 163.906i −0.229882 + 0.229882i
\(714\) −90.1229 + 101.009i −0.126223 + 0.141469i
\(715\) 324.169 + 782.612i 0.453383 + 1.09456i
\(716\) −1159.26 47.7678i −1.61907 0.0667148i
\(717\) 16.5974 40.0697i 0.0231484 0.0558852i
\(718\) 161.897 231.817i 0.225483 0.322865i
\(719\) −603.086 −0.838784 −0.419392 0.907805i \(-0.637757\pi\)
−0.419392 + 0.907805i \(0.637757\pi\)
\(720\) −404.939 1262.69i −0.562415 1.75373i
\(721\) 817.841 229.724i 1.13431 0.318619i
\(722\) 362.662 + 253.277i 0.502301 + 0.350799i
\(723\) −39.8811 16.5193i −0.0551606 0.0228483i
\(724\) 772.769 711.605i 1.06736 0.982880i
\(725\) −105.110 253.758i −0.144979 0.350011i
\(726\) 21.5430 13.7616i 0.0296736 0.0189553i
\(727\) 1008.66 1008.66i 1.38743 1.38743i 0.556754 0.830677i \(-0.312047\pi\)
0.830677 0.556754i \(-0.187953\pi\)
\(728\) −375.399 148.630i −0.515658 0.204161i
\(729\) 476.291 476.291i 0.653348 0.653348i
\(730\) −788.014 173.686i −1.07947 0.237926i
\(731\) −263.787 636.838i −0.360858 0.871188i
\(732\) 74.1841 + 34.3715i 0.101344 + 0.0469556i
\(733\) 564.141 + 233.675i 0.769633 + 0.318792i 0.732724 0.680526i \(-0.238249\pi\)
0.0369090 + 0.999319i \(0.488249\pi\)
\(734\) −527.608 + 93.6983i −0.718812 + 0.127654i
\(735\) 132.484 80.8022i 0.180250 0.109935i
\(736\) −359.115 + 33.6370i −0.487928 + 0.0457024i
\(737\) −809.440 −1.09829
\(738\) 78.6278 13.9636i 0.106542 0.0189208i
\(739\) −385.416 + 930.478i −0.521538 + 1.25910i 0.415410 + 0.909634i \(0.363638\pi\)
−0.936948 + 0.349469i \(0.886362\pi\)
\(740\) −1781.48 825.409i −2.40741 1.11542i
\(741\) −22.6019 54.5658i −0.0305019 0.0736380i
\(742\) 383.781 21.8584i 0.517225 0.0294587i
\(743\) −882.976 + 882.976i −1.18839 + 1.18839i −0.210881 + 0.977512i \(0.567633\pi\)
−0.977512 + 0.210881i \(0.932367\pi\)
\(744\) −7.49424 55.3511i −0.0100729 0.0743967i
\(745\) 1025.14 1025.14i 1.37602 1.37602i
\(746\) −180.811 283.050i −0.242374 0.379424i
\(747\) −582.039 + 241.089i −0.779169 + 0.322742i
\(748\) −971.985 1055.53i −1.29944 1.41114i
\(749\) −719.744 85.9572i −0.960940 0.114763i
\(750\) 192.197 + 134.227i 0.256262 + 0.178969i
\(751\) 347.301i 0.462451i 0.972900 + 0.231226i \(0.0742735\pi\)
−0.972900 + 0.231226i \(0.925726\pi\)
\(752\) 756.967 641.520i 1.00661 0.853085i
\(753\) 57.3741i 0.0761940i
\(754\) −52.3629 36.5694i −0.0694468 0.0485005i
\(755\) −698.343 + 1685.95i −0.924958 + 2.23305i
\(756\) 165.437 39.1990i 0.218831 0.0518506i
\(757\) −110.838