Properties

Label 224.3.v.b.13.1
Level 224
Weight 3
Character 224.13
Analytic conductor 6.104
Analytic rank 0
Dimension 240
CM no
Inner twists 4

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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 13.1
Character \(\chi\) \(=\) 224.13
Dual form 224.3.v.b.69.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.96919 + 0.349710i) q^{2} +(-0.313666 - 0.129925i) q^{3} +(3.75541 - 1.37729i) q^{4} +(-3.56967 - 8.61795i) q^{5} +(0.663104 + 0.146154i) q^{6} +(-6.10386 + 3.42679i) q^{7} +(-6.91345 + 4.02544i) q^{8} +(-6.28246 - 6.28246i) q^{9} +O(q^{10})\) \(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} +(-6.10386 + 3.42679i) 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} +(10.8213 - 8.88257i) 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} +(2.35980 - 0.281825i) 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} +(-18.2028 + 21.2758i) 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} +(51.3207 + 40.3703i) 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} +(-4.54833 + 1.38021i) 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} +(28.4044 - 48.2617i) 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} +(-115.178 - 61.5493i) 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} +(-69.2979 - 54.5117i) 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} +(8.47385 - 4.30849i) 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} +(-5.98485 - 50.1128i) 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} +(-35.6128 + 91.3002i) 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 0.329793 0.944053i \(-0.393021\pi\)
−0.434348 + 0.900745i \(0.643021\pi\)
\(4\) 3.75541 1.37729i 0.938852 0.344322i
\(5\) −3.56967 8.61795i −0.713934 1.72359i −0.689928 0.723878i \(-0.742358\pi\)
−0.0240066 0.999712i \(1.49236\pi\)
\(6\) 0.663104 + 0.146154i 0.110517 + 0.0243590i
\(7\) −6.10386 + 3.42679i −0.871980 + 0.489541i
\(8\) −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 −0.993766 0.111482i \(-0.964440\pi\)
0.781529 + 0.623869i \(0.214440\pi\)
\(14\) 10.8213 8.88257i 0.772948 0.634469i
\(15\) 3.16695i 0.211130i
\(16\) 12.2061 10.3446i 0.762884 0.646535i
\(17\) 28.4801 1.67530 0.837649 0.546209i \(-0.183930\pi\)
0.837649 + 0.546209i \(0.183930\pi\)
\(18\) 14.5684 + 10.1743i 0.809354 + 0.565239i
\(19\) −9.23350 + 22.2916i −0.485974 + 1.17324i 0.470756 + 0.882264i \(0.343981\pi\)
−0.956729 + 0.290980i \(0.906019\pi\)
\(20\) −25.2750 27.4474i −1.26375 1.37237i
\(21\) 2.35980 0.281825i 0.112371 0.0134202i
\(22\) −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
\(28\) −18.2028 + 21.2758i −0.650100 + 0.759849i
\(29\) −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 \(-0.892380\pi\)
0.943387 0.331694i \(-0.107620\pi\)
\(32\) −20.4186 + 24.6390i −0.638082 + 0.769969i
\(33\) 4.27630i 0.129585i
\(34\) −56.0826 + 9.95976i −1.64949 + 0.292934i
\(35\) 51.3207 + 40.3703i 1.46631 + 1.15344i
\(36\) −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 −0.744798 0.667290i \(-0.767454\pi\)
0.667290 + 0.744798i \(0.267454\pi\)
\(42\) −4.54833 + 1.38021i −0.108294 + 0.0328622i
\(43\) 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 \(-0.729332\pi\)
−0.659736 + 0.751497i \(0.729332\pi\)
\(48\) −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
\(56\) 28.4044 48.2617i 0.507221 0.861816i
\(57\) 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 \(-0.879294\pi\)
0.395112 0.918633i \(1.62929\pi\)
\(60\) 4.36180 + 11.8932i 0.0726967 + 0.198220i
\(61\) −55.6216 23.0392i −0.911830 0.377692i −0.123073 0.992398i \(-0.539275\pi\)
−0.788757 + 0.614705i \(0.789275\pi\)
\(62\) 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
\(70\) −115.178 61.5493i −1.64540 0.879276i
\(71\) 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 −0.884847 0.465881i \(-0.845737\pi\)
0.465881 + 0.884847i \(0.345737\pi\)
\(74\) 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
\(77\) −69.2979 54.5117i −0.899973 0.707944i
\(78\) −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 \(0.265484\pi\)
−0.998817 + 0.0486246i \(0.984516\pi\)
\(84\) 8.47385 4.30849i 0.100879 0.0512916i
\(85\) −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 0.377087 0.926178i \(-0.376926\pi\)
−0.926178 + 0.377087i \(0.876926\pi\)
\(90\) 35.6773 161.868i 0.396415 1.79854i
\(91\) −5.98485 50.1128i −0.0657676 0.550691i
\(92\) 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 \(0.0597780\pi\)
−0.982418 + 0.186696i \(0.940222\pi\)
\(98\) −35.6128 + 91.3002i −0.363396 + 0.931635i
\(99\) 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 0.997303 0.0733987i \(-0.0233846\pi\)
−0.757100 + 0.653299i \(0.773385\pi\)
\(102\) 18.8852 + 4.16248i 0.185149 + 0.0408086i
\(103\) 85.8116 + 85.8116i 0.833123 + 0.833123i 0.987943 0.154820i \(-0.0494797\pi\)
−0.154820 + 0.987943i \(0.549480\pi\)
\(104\) −7.73878 57.1573i −0.0744114 0.549589i
\(105\) −10.8525 19.3306i −0.103357 0.184101i
\(106\) −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
\(112\) −39.0560 + 104.970i −0.348714 + 0.937229i
\(113\) 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
\(119\) −173.838 + 97.5951i −1.46083 + 0.820127i
\(120\) −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
\(126\) −123.789 12.1798i −0.982449 0.0966649i
\(127\) −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 0.0736233 0.997286i \(-0.476544\pi\)
−0.653128 + 0.757247i \(0.726544\pi\)
\(132\) −5.88971 16.0593i −0.0446190 0.121661i
\(133\) −20.0287 167.706i −0.150592 1.26095i
\(134\) 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 −0.672765 0.739856i \(-0.734894\pi\)
0.0474405 + 0.998874i \(0.484894\pi\)
\(140\) 248.331 + 80.9233i 1.77380 + 0.578024i
\(141\) 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
\(147\) −13.4381 + 9.80675i −0.0914158 + 0.0667126i
\(148\) −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
\(154\) 155.524 + 83.1096i 1.00990 + 0.539672i
\(155\) −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 −0.517484 0.855693i \(-0.673131\pi\)
−0.970983 + 0.239150i \(0.923131\pi\)
\(158\) 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 0.185204 0.982700i \(-0.440705\pi\)
−0.982700 + 0.185204i \(0.940705\pi\)
\(168\) −15.1799 + 11.4476i −0.0903564 + 0.0681406i
\(169\) 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 −0.752409 0.658696i \(-0.771108\pi\)
0.997802 + 0.0662646i \(0.0211081\pi\)
\(174\) −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 −0.933638 0.358218i \(-0.883384\pi\)
−0.406883 + 0.913480i \(0.633384\pi\)
\(182\) 29.3103 + 96.5887i 0.161045 + 0.530707i
\(183\) 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
\(189\) −33.4071 26.2789i −0.176757 0.139042i
\(190\) −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
\(196\) 38.1998 192.241i 0.194897 0.980824i
\(197\) 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 0.608970 0.793194i \(-0.291583\pi\)
−0.793194 + 0.608970i \(0.791583\pi\)
\(200\) 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
\(203\) −3.67670 30.7860i −0.0181118 0.151655i
\(204\) −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
\(210\) 28.1306 + 34.2704i 0.133955 + 0.163192i
\(211\) −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
\(217\) 70.4720 + 125.526i 0.324756 + 0.578461i
\(218\) 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 \(-0.705963\pi\)
0.602837 0.797864i \(-0.294037\pi\)
\(224\) 40.1997 220.363i 0.179463 0.983765i
\(225\) 550.957 2.44870
\(226\) −19.6704 110.763i −0.0870373 0.490100i
\(227\) −48.7456 20.1911i −0.214738 0.0889476i 0.272721 0.962093i \(-0.412076\pi\)
−0.487460 + 0.873146i \(0.662076\pi\)
\(228\) 13.7752 29.7310i 0.0604174 0.130399i
\(229\) 145.476 + 351.209i 0.635265 + 1.53366i 0.832920 + 0.553393i \(0.186667\pi\)
−0.197656 + 0.980271i \(0.563333\pi\)
\(230\) −45.2614 + 205.352i −0.196789 + 0.892833i
\(231\) 14.6540 + 26.1020i 0.0634372 + 0.112996i
\(232\) −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
\(238\) 308.190 252.976i 1.29492 1.06293i
\(239\) 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 \(-0.415029\pi\)
0.263786 + 0.964581i \(0.415029\pi\)
\(242\) 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
\(245\) −451.595 70.5493i −1.84324 0.287956i
\(246\) −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 0.998782 0.0493374i \(-0.0157109\pi\)
−0.741132 + 0.671359i \(0.765711\pi\)
\(252\) 248.022 19.3058i 0.984215 0.0766102i
\(253\) −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 \(-0.598703\pi\)
0.305140 0.952308i \(-0.401297\pi\)
\(258\) 2.87364 + 16.1813i 0.0111382 + 0.0627181i
\(259\) 227.738 289.512i 0.879296 1.11781i
\(260\) 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
\(266\) 98.0889 + 323.241i 0.368755 + 1.21519i
\(267\) 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 \(-0.694003\pi\)
0.984566 0.175013i \(-0.0559966\pi\)
\(270\) −64.8610 + 92.8731i −0.240226 + 0.343974i
\(271\) −170.029 −0.627412 −0.313706 0.949520i \(-0.601571\pi\)
−0.313706 + 0.949520i \(0.601571\pi\)
\(272\) 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
\(280\) −517.311 72.5093i −1.84754 0.258962i
\(281\) −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 \(0.0596946\pi\)
−0.562877 + 0.826541i \(0.690305\pi\)
\(284\) 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 0.975054 0.221968i \(-0.0712479\pi\)
−0.846422 + 0.532513i \(0.821248\pi\)
\(294\) 23.0327 24.0108i 0.0783425 0.0816693i
\(295\) −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
\(301\) −133.161 104.748i −0.442395 0.348000i
\(302\) −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 \(0.460231\pi\)
−0.789710 + 0.613481i \(0.789769\pi\)
\(308\) −335.320 109.270i −1.08870 0.354773i
\(309\) −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 −0.969998 0.243114i \(-0.921831\pi\)
0.243114 + 0.969998i \(0.421831\pi\)
\(312\) −4.99875 + 18.9338i −0.0160216 + 0.0606851i
\(313\) 253.187 + 253.187i 0.808903 + 0.808903i 0.984468 0.175565i \(-0.0561752\pi\)
−0.175565 + 0.984468i \(0.556175\pi\)
\(314\) 494.029 + 108.889i 1.57334 + 0.346779i
\(315\) −68.7955 576.044i −0.218398 1.82871i
\(316\) −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
\(322\) 157.042 + 15.4517i 0.487708 + 0.0479865i
\(323\) −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
\(329\) 378.532 212.513i 1.15055 0.645936i
\(330\) 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
\(336\) 25.8887 27.8511i 0.0770497 0.0828901i
\(337\) 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
\(343\) −12.3815 + 342.776i −0.0360978 + 0.999348i
\(344\) −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 0.608822 0.793307i \(-0.291642\pi\)
−0.130450 + 0.991455i \(0.541642\pi\)
\(350\) −85.0096 + 863.991i −0.242885 + 2.46854i
\(351\) −43.7785 −0.124725
\(352\) −385.138 118.844i −1.09414 0.337625i
\(353\) 318.522i 0.902330i −0.892441 0.451165i \(-0.851009\pi\)
0.892441 0.451165i \(-0.148991\pi\)
\(354\) −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
\(357\) 67.2072 8.02639i 0.188255 0.0224829i
\(358\) 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
\(364\) −91.4954 179.951i −0.251361 0.494371i
\(365\) 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 \(-0.618941\pi\)
−0.365030 + 0.930996i \(0.618941\pi\)
\(368\) 179.732 + 14.8371i 0.488402 + 0.0403182i
\(369\) 39.9290 0.108209
\(370\) −804.855 562.097i −2.17528 1.51918i
\(371\) −151.064 118.831i −0.407182 0.320300i
\(372\) −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
\(378\) 74.9748 + 40.0654i 0.198346 + 0.105993i
\(379\) −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 \(0.0371198\pi\)
−0.993208 + 0.116351i \(0.962880\pi\)
\(384\) 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
\(392\) −7.99387 + 391.918i −0.0203925 + 0.999792i
\(393\) 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 \(0.253048\pi\)
−0.999954 + 0.00957633i \(0.996952\pi\)
\(398\) 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
\(406\) 18.0063 + 59.3377i 0.0443504 + 0.146152i
\(407\) −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 \(-0.904133\pi\)
−0.296642 0.954989i \(1.40413\pi\)
\(410\) −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
\(413\) 452.827 + 356.206i 1.09643 + 0.862485i
\(414\) 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 0.890384 0.455210i \(-0.150436\pi\)
0.307714 + 0.951479i \(0.400436\pi\)
\(420\) −67.3792 57.6473i −0.160427 0.137255i
\(421\) 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
\(427\) 418.457 49.9753i 0.979994 0.117038i
\(428\) 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 \(-0.485986\pi\)
0.0440128 + 0.999031i \(0.485986\pi\)
\(434\) −182.670 222.540i −0.420899 0.512764i
\(435\) −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 \(-0.371701\pi\)
0.919863 0.392239i \(-0.128299\pi\)
\(440\) −239.932 + 908.790i −0.545300 + 2.06543i
\(441\) −423.108 + 102.524i −0.959428 + 0.232480i
\(442\) 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
\(448\) −2.09765 + 447.995i −0.00468225 + 0.999989i
\(449\) 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
\(455\) −410.506 + 230.464i −0.902211 + 0.506513i
\(456\) −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 −0.983805 0.179241i \(-0.942636\pi\)
0.822398 + 0.568913i \(0.192636\pi\)
\(462\) −37.9846 46.2750i −0.0822177 0.100162i
\(463\) 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 \(-0.586152\pi\)
0.870420 0.492310i \(-0.163848\pi\)
\(468\) 188.488 173.569i 0.402752 0.370875i
\(469\) −53.3452 446.674i −0.113742 0.952397i
\(470\) −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
\(476\) −518.417 + 605.935i −1.08911 + 1.27297i
\(477\) 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 \(0.252877\pi\)
−0.700687 + 0.713469i \(0.747123\pi\)
\(480\) −78.0304 64.6647i −0.162563 0.134718i
\(481\) 379.392i 0.788757i
\(482\) −250.373 + 44.4639i −0.519445 + 0.0922487i
\(483\) 21.0541 + 16.5617i 0.0435902 + 0.0342893i
\(484\) −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
\(490\) 913.947 19.0021i 1.86520 0.0387799i
\(491\) 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 −0.893322 0.449417i \(-0.851632\pi\)
0.449417 + 0.893322i \(0.351632\pi\)
\(504\) −481.651 + 124.753i −0.955657 + 0.247525i
\(505\) 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 −0.292044 0.956405i \(-0.594335\pi\)
−0.882787 + 0.469774i \(0.844335\pi\)
\(510\) −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
\(518\) −347.214 + 649.745i −0.670296 + 1.25433i
\(519\) −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 −0.229346 0.973345i \(-0.573659\pi\)
0.973345 + 0.229346i \(0.0736587\pi\)
\(522\) −66.3277 + 42.3698i −0.127065 + 0.0811681i
\(523\) −16.8005 + 6.95900i −0.0321233 + 0.0133059i −0.398687 0.917087i \(-0.630534\pi\)
0.366564 + 0.930393i \(0.380534\pi\)
\(524\) −328.401 13.5320i −0.626720 0.0258243i
\(525\) −91.1167 + 115.832i −0.173556 + 0.220633i
\(526\) 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
\(532\) −306.196 602.220i −0.575557 1.13199i
\(533\) −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
\(539\) 609.785 + 95.2622i 1.13133 + 0.176739i
\(540\) 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
\(546\) 3.35563 34.1047i 0.00614584 0.0624629i
\(547\) 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
\(553\) 19.4496 + 34.6439i 0.0351710 + 0.0626473i
\(554\) 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
\(560\) 1044.04 38.1244i 1.86436 0.0680793i
\(561\) 121.789i 0.217093i
\(562\) 488.483 699.449i 0.869187 1.24457i
\(563\) −101.346 + 244.672i −0.180011 + 0.434585i −0.987968 0.154656i \(-0.950573\pi\)
0.807957 + 0.589241i \(0.200573\pi\)
\(564\) 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
\(567\) −266.951 475.497i −0.470812 0.838620i
\(568\) −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
\(574\) −6.16084 + 62.6153i −0.0107332 + 0.109086i
\(575\) −698.961 −1.21559
\(576\) −548.151 + 151.205i −0.951650 + 0.262509i
\(577\) 1.51123i 0.00261912i −0.999999 0.00130956i \(-0.999583\pi\)
0.999999 0.00130956i \(-0.000416846\pi\)
\(578\) −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
\(581\) −58.8599 492.851i −0.101308 0.848280i
\(582\) −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 −0.435209 0.900329i \(-0.643326\pi\)
0.328890 + 0.944368i \(0.393326\pi\)
\(588\) −36.9589 + 55.3365i −0.0628553 + 0.0941097i
\(589\) 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 \(-0.327641\pi\)
0.515406 + 0.856946i \(0.327641\pi\)
\(594\) 87.5813 125.406i 0.147443 0.211121i
\(595\) 1461.62 + 1149.75i 2.45650 + 1.93235i
\(596\) −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 0.774412 0.632682i \(-0.218046\pi\)
−0.632682 + 0.774412i \(0.718046\pi\)
\(602\) 298.850 + 159.701i 0.496429 + 0.265284i
\(603\) 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 \(0.182902\pi\)
−0.839409 + 0.543501i \(0.817098\pi\)
\(608\) −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
\(616\) 698.521 + 97.9087i 1.13396 + 0.158943i
\(617\) −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 −0.696907 0.717162i \(-0.745441\pi\)
0.0143224 + 0.999897i \(0.495441\pi\)
\(620\) −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
\(630\) 336.920 + 1110.28i 0.534793 + 1.76235i
\(631\) 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
\(637\) 208.257 + 285.373i 0.326934 + 0.447995i
\(638\) 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 0.649276 0.760553i \(-0.275072\pi\)
−0.0786850 + 0.996900i \(0.525072\pi\)
\(644\) −314.649 + 24.4919i −0.488586 + 0.0380309i
\(645\) −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 0.436508 0.899701i \(-0.356215\pi\)
−0.899701 + 0.436508i \(0.856215\pi\)
\(648\) −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
\(651\) −5.79573 48.5293i −0.00890281 0.0745458i
\(652\) −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
\(658\) −671.084 + 550.855i −1.01988 + 0.837165i
\(659\) −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 −0.109969 0.993935i \(-0.535075\pi\)
0.625058 + 0.780578i \(0.285075\pi\)
\(662\) 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
\(665\) −1373.79 + 771.263i −2.06585 + 1.15979i
\(666\) −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
\(672\) −41.2399 + 63.8975i −0.0613690 + 0.0950856i
\(673\) −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 0.997270 0.0738405i \(-0.0235256\pi\)
−0.757390 + 0.652963i \(0.773526\pi\)
\(678\) −8.22086 + 37.2981i −0.0121252 + 0.0550120i
\(679\) −124.115 221.076i −0.182791 0.325591i
\(680\) 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
\(686\) −95.4907 679.321i −0.139199 0.990264i
\(687\) 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 −0.905530 0.424282i \(-0.860527\pi\)
0.940319 + 0.340294i \(0.110527\pi\)
\(692\) 18.2691 443.364i 0.0264004 0.640700i
\(693\) 92.8940 + 777.828i 0.134046 + 1.12241i
\(694\) −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
\(700\) −134.746 1731.09i −0.192494 2.47298i
\(701\) 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
\(707\) −348.789 274.367i −0.493337 0.388072i
\(708\) 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
\(714\) −129.537 + 39.3085i −0.181424 + 0.0550539i
\(715\) 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 \(-0.362243\pi\)
0.419392 + 0.907805i \(0.362243\pi\)
\(720\) 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 \(0.687953\pi\)
−0.830677 + 0.556754i \(0.812047\pi\)
\(728\) 243.102 + 322.361i 0.333932 + 0.442804i
\(729\) 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 −0.0369090 0.999319i \(-0.511751\pi\)
−0.732724 + 0.680526i \(0.761751\pi\)
\(734\) 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
\(742\) 339.031 + 181.173i 0.456915 + 0.244168i
\(743\) −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
\(749\) −569.717 448.155i −0.760637 0.598338i
\(750\) 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
\(756\) −161.651 52.6768i −0.213824 0.0696783i
\(757\)