Properties

Label 224.2.u.c.85.1
Level $224$
Weight $2$
Character 224.85
Analytic conductor $1.789$
Analytic rank $0$
Dimension $52$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(1.78864900528\)
Analytic rank: \(0\)
Dimension: \(52\)
Relative dimension: \(13\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 85.1
Character \(\chi\) \(=\) 224.85
Dual form 224.2.u.c.29.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.33683 - 0.461403i) q^{2} +(-0.825255 + 0.341832i) q^{3} +(1.57421 + 1.23363i) q^{4} +(-0.175588 + 0.423906i) q^{5} +(1.26095 - 0.0761946i) q^{6} +(0.707107 + 0.707107i) q^{7} +(-1.53525 - 2.37550i) q^{8} +(-1.55712 + 1.55712i) q^{9} +O(q^{10})\) \(q+(-1.33683 - 0.461403i) q^{2} +(-0.825255 + 0.341832i) q^{3} +(1.57421 + 1.23363i) q^{4} +(-0.175588 + 0.423906i) q^{5} +(1.26095 - 0.0761946i) q^{6} +(0.707107 + 0.707107i) q^{7} +(-1.53525 - 2.37550i) q^{8} +(-1.55712 + 1.55712i) q^{9} +(0.430322 - 0.485673i) q^{10} +(-2.61442 - 1.08293i) q^{11} +(-1.72082 - 0.479946i) q^{12} +(0.791155 + 1.91002i) q^{13} +(-0.619018 - 1.27154i) q^{14} -0.409853i q^{15} +(0.956298 + 3.88400i) q^{16} +6.96580i q^{17} +(2.80007 - 1.36314i) q^{18} +(0.0847256 + 0.204546i) q^{19} +(-0.799358 + 0.450708i) q^{20} +(-0.825255 - 0.341832i) q^{21} +(2.99537 + 2.65399i) q^{22} +(-5.30048 + 5.30048i) q^{23} +(2.07900 + 1.43560i) q^{24} +(3.38667 + 3.38667i) q^{25} +(-0.176349 - 2.91841i) q^{26} +(1.77825 - 4.29306i) q^{27} +(0.240827 + 1.98545i) q^{28} +(1.39222 - 0.576675i) q^{29} +(-0.189107 + 0.547902i) q^{30} -2.39066 q^{31} +(0.513688 - 5.63348i) q^{32} +2.52775 q^{33} +(3.21404 - 9.31206i) q^{34} +(-0.423906 + 0.175588i) q^{35} +(-4.37216 + 0.530326i) q^{36} +(-2.44954 + 5.91372i) q^{37} +(-0.0188854 - 0.312535i) q^{38} +(-1.30581 - 1.30581i) q^{39} +(1.27656 - 0.233693i) q^{40} +(6.77966 - 6.77966i) q^{41} +(0.945501 + 0.837746i) q^{42} +(-3.54722 - 1.46931i) q^{43} +(-2.77972 - 4.93000i) q^{44} +(-0.386663 - 0.933486i) q^{45} +(9.53148 - 4.64017i) q^{46} +0.928875i q^{47} +(-2.11687 - 2.87840i) q^{48} +1.00000i q^{49} +(-2.96477 - 6.09001i) q^{50} +(-2.38113 - 5.74856i) q^{51} +(-1.11081 + 3.98277i) q^{52} +(-9.57390 - 3.96564i) q^{53} +(-4.35804 + 4.91860i) q^{54} +(0.918122 - 0.918122i) q^{55} +(0.594149 - 2.76532i) q^{56} +(-0.139840 - 0.139840i) q^{57} +(-2.12723 + 0.128541i) q^{58} +(5.17517 - 12.4940i) q^{59} +(0.505608 - 0.645196i) q^{60} +(7.42002 - 3.07347i) q^{61} +(3.19591 + 1.10306i) q^{62} -2.20210 q^{63} +(-3.28602 + 7.29398i) q^{64} -0.948586 q^{65} +(-3.37916 - 1.16631i) q^{66} +(5.00235 - 2.07204i) q^{67} +(-8.59324 + 10.9657i) q^{68} +(2.56238 - 6.18612i) q^{69} +(0.647706 - 0.0391387i) q^{70} +(4.33452 + 4.33452i) q^{71} +(6.08952 + 1.30838i) q^{72} +(0.169663 - 0.169663i) q^{73} +(6.00323 - 6.77540i) q^{74} +(-3.95254 - 1.63719i) q^{75} +(-0.118958 + 0.426519i) q^{76} +(-1.08293 - 2.61442i) q^{77} +(1.14314 + 2.34815i) q^{78} -0.467101i q^{79} +(-1.81437 - 0.276603i) q^{80} -2.45558i q^{81} +(-12.1914 + 5.93508i) q^{82} +(4.32473 + 10.4408i) q^{83} +(-0.877433 - 1.55618i) q^{84} +(-2.95285 - 1.22311i) q^{85} +(4.06408 + 3.60091i) q^{86} +(-0.951808 + 0.951808i) q^{87} +(1.44129 + 7.87314i) q^{88} +(2.43384 + 2.43384i) q^{89} +(0.0861874 + 1.42632i) q^{90} +(-0.791155 + 1.91002i) q^{91} +(-14.8829 + 1.80524i) q^{92} +(1.97291 - 0.817206i) q^{93} +(0.428586 - 1.24174i) q^{94} -0.101585 q^{95} +(1.50178 + 4.82466i) q^{96} +15.1794 q^{97} +(0.461403 - 1.33683i) q^{98} +(5.75724 - 2.38473i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 52 q - 20 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 52 q - 20 q^{6} - 8 q^{10} + 12 q^{12} - 12 q^{16} - 20 q^{18} + 20 q^{22} - 20 q^{23} - 8 q^{24} + 20 q^{26} - 24 q^{27} - 8 q^{28} + 20 q^{30} + 60 q^{32} - 48 q^{33} + 48 q^{34} + 8 q^{36} - 60 q^{38} - 24 q^{39} + 20 q^{40} - 44 q^{43} + 32 q^{44} + 40 q^{45} - 32 q^{46} - 84 q^{48} - 124 q^{50} + 16 q^{51} - 32 q^{52} - 36 q^{53} + 96 q^{54} + 32 q^{55} + 16 q^{56} + 4 q^{58} - 92 q^{60} - 32 q^{61} + 12 q^{62} + 68 q^{63} + 48 q^{64} + 80 q^{65} + 16 q^{66} + 28 q^{67} - 4 q^{68} - 32 q^{69} + 8 q^{70} - 88 q^{72} + 36 q^{74} + 32 q^{75} + 96 q^{76} - 12 q^{77} + 12 q^{78} - 108 q^{80} - 96 q^{82} + 64 q^{85} + 76 q^{86} - 56 q^{87} + 104 q^{88} - 132 q^{90} + 32 q^{92} - 4 q^{94} - 64 q^{95} + 8 q^{96} - 72 q^{97} - 64 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{5}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.33683 0.461403i −0.945280 0.326261i
\(3\) −0.825255 + 0.341832i −0.476461 + 0.197357i −0.607973 0.793958i \(-0.708017\pi\)
0.131511 + 0.991315i \(0.458017\pi\)
\(4\) 1.57421 + 1.23363i 0.787107 + 0.616817i
\(5\) −0.175588 + 0.423906i −0.0785252 + 0.189577i −0.958267 0.285876i \(-0.907716\pi\)
0.879741 + 0.475452i \(0.157716\pi\)
\(6\) 1.26095 0.0761946i 0.514779 0.0311063i
\(7\) 0.707107 + 0.707107i 0.267261 + 0.267261i
\(8\) −1.53525 2.37550i −0.542793 0.839867i
\(9\) −1.55712 + 1.55712i −0.519041 + 0.519041i
\(10\) 0.430322 0.485673i 0.136080 0.153583i
\(11\) −2.61442 1.08293i −0.788279 0.326516i −0.0480273 0.998846i \(-0.515293\pi\)
−0.740251 + 0.672330i \(0.765293\pi\)
\(12\) −1.72082 0.479946i −0.496759 0.138548i
\(13\) 0.791155 + 1.91002i 0.219427 + 0.529744i 0.994810 0.101747i \(-0.0324433\pi\)
−0.775383 + 0.631491i \(0.782443\pi\)
\(14\) −0.619018 1.27154i −0.165440 0.339834i
\(15\) 0.409853i 0.105823i
\(16\) 0.956298 + 3.88400i 0.239075 + 0.971001i
\(17\) 6.96580i 1.68945i 0.535198 + 0.844727i \(0.320237\pi\)
−0.535198 + 0.844727i \(0.679763\pi\)
\(18\) 2.80007 1.36314i 0.659982 0.321296i
\(19\) 0.0847256 + 0.204546i 0.0194374 + 0.0469260i 0.933300 0.359097i \(-0.116915\pi\)
−0.913863 + 0.406023i \(0.866915\pi\)
\(20\) −0.799358 + 0.450708i −0.178742 + 0.100781i
\(21\) −0.825255 0.341832i −0.180085 0.0745938i
\(22\) 2.99537 + 2.65399i 0.638614 + 0.565834i
\(23\) −5.30048 + 5.30048i −1.10523 + 1.10523i −0.111457 + 0.993769i \(0.535552\pi\)
−0.993769 + 0.111457i \(0.964448\pi\)
\(24\) 2.07900 + 1.43560i 0.424373 + 0.293040i
\(25\) 3.38667 + 3.38667i 0.677334 + 0.677334i
\(26\) −0.176349 2.91841i −0.0345849 0.572346i
\(27\) 1.77825 4.29306i 0.342224 0.826201i
\(28\) 0.240827 + 1.98545i 0.0455120 + 0.375214i
\(29\) 1.39222 0.576675i 0.258528 0.107086i −0.249655 0.968335i \(-0.580317\pi\)
0.508183 + 0.861249i \(0.330317\pi\)
\(30\) −0.189107 + 0.547902i −0.0345261 + 0.100033i
\(31\) −2.39066 −0.429376 −0.214688 0.976683i \(-0.568873\pi\)
−0.214688 + 0.976683i \(0.568873\pi\)
\(32\) 0.513688 5.63348i 0.0908080 0.995868i
\(33\) 2.52775 0.440024
\(34\) 3.21404 9.31206i 0.551204 1.59701i
\(35\) −0.423906 + 0.175588i −0.0716533 + 0.0296798i
\(36\) −4.37216 + 0.530326i −0.728694 + 0.0883876i
\(37\) −2.44954 + 5.91372i −0.402703 + 0.972210i 0.584305 + 0.811534i \(0.301367\pi\)
−0.987007 + 0.160676i \(0.948633\pi\)
\(38\) −0.0188854 0.312535i −0.00306362 0.0506998i
\(39\) −1.30581 1.30581i −0.209097 0.209097i
\(40\) 1.27656 0.233693i 0.201842 0.0369501i
\(41\) 6.77966 6.77966i 1.05881 1.05881i 0.0606459 0.998159i \(-0.480684\pi\)
0.998159 0.0606459i \(-0.0193160\pi\)
\(42\) 0.945501 + 0.837746i 0.145894 + 0.129267i
\(43\) −3.54722 1.46931i −0.540946 0.224067i 0.0954436 0.995435i \(-0.469573\pi\)
−0.636390 + 0.771368i \(0.719573\pi\)
\(44\) −2.77972 4.93000i −0.419059 0.743226i
\(45\) −0.386663 0.933486i −0.0576403 0.139156i
\(46\) 9.53148 4.64017i 1.40534 0.684155i
\(47\) 0.928875i 0.135490i 0.997703 + 0.0677451i \(0.0215805\pi\)
−0.997703 + 0.0677451i \(0.978420\pi\)
\(48\) −2.11687 2.87840i −0.305543 0.415462i
\(49\) 1.00000i 0.142857i
\(50\) −2.96477 6.09001i −0.419282 0.861258i
\(51\) −2.38113 5.74856i −0.333425 0.804959i
\(52\) −1.11081 + 3.98277i −0.154042 + 0.552311i
\(53\) −9.57390 3.96564i −1.31508 0.544722i −0.388715 0.921358i \(-0.627081\pi\)
−0.926361 + 0.376636i \(0.877081\pi\)
\(54\) −4.35804 + 4.91860i −0.593054 + 0.669336i
\(55\) 0.918122 0.918122i 0.123800 0.123800i
\(56\) 0.594149 2.76532i 0.0793964 0.369531i
\(57\) −0.139840 0.139840i −0.0185223 0.0185223i
\(58\) −2.12723 + 0.128541i −0.279319 + 0.0168783i
\(59\) 5.17517 12.4940i 0.673750 1.62658i −0.101435 0.994842i \(-0.532343\pi\)
0.775185 0.631735i \(-0.217657\pi\)
\(60\) 0.505608 0.645196i 0.0652737 0.0832944i
\(61\) 7.42002 3.07347i 0.950036 0.393518i 0.146791 0.989167i \(-0.453105\pi\)
0.803244 + 0.595650i \(0.203105\pi\)
\(62\) 3.19591 + 1.10306i 0.405880 + 0.140089i
\(63\) −2.20210 −0.277439
\(64\) −3.28602 + 7.29398i −0.410752 + 0.911747i
\(65\) −0.948586 −0.117658
\(66\) −3.37916 1.16631i −0.415946 0.143563i
\(67\) 5.00235 2.07204i 0.611134 0.253140i −0.0555791 0.998454i \(-0.517701\pi\)
0.666713 + 0.745314i \(0.267701\pi\)
\(68\) −8.59324 + 10.9657i −1.04208 + 1.32978i
\(69\) 2.56238 6.18612i 0.308474 0.744722i
\(70\) 0.647706 0.0391387i 0.0774157 0.00467796i
\(71\) 4.33452 + 4.33452i 0.514412 + 0.514412i 0.915875 0.401463i \(-0.131498\pi\)
−0.401463 + 0.915875i \(0.631498\pi\)
\(72\) 6.08952 + 1.30838i 0.717657 + 0.154194i
\(73\) 0.169663 0.169663i 0.0198576 0.0198576i −0.697108 0.716966i \(-0.745530\pi\)
0.716966 + 0.697108i \(0.245530\pi\)
\(74\) 6.00323 6.77540i 0.697861 0.787624i
\(75\) −3.95254 1.63719i −0.456400 0.189047i
\(76\) −0.118958 + 0.426519i −0.0136454 + 0.0489251i
\(77\) −1.08293 2.61442i −0.123411 0.297941i
\(78\) 1.14314 + 2.34815i 0.129435 + 0.265875i
\(79\) 0.467101i 0.0525530i −0.999655 0.0262765i \(-0.991635\pi\)
0.999655 0.0262765i \(-0.00836503\pi\)
\(80\) −1.81437 0.276603i −0.202853 0.0309251i
\(81\) 2.45558i 0.272842i
\(82\) −12.1914 + 5.93508i −1.34631 + 0.655420i
\(83\) 4.32473 + 10.4408i 0.474701 + 1.14603i 0.962063 + 0.272829i \(0.0879592\pi\)
−0.487362 + 0.873200i \(0.662041\pi\)
\(84\) −0.877433 1.55618i −0.0957358 0.169793i
\(85\) −2.95285 1.22311i −0.320281 0.132665i
\(86\) 4.06408 + 3.60091i 0.438241 + 0.388296i
\(87\) −0.951808 + 0.951808i −0.102045 + 0.102045i
\(88\) 1.44129 + 7.87314i 0.153642 + 0.839279i
\(89\) 2.43384 + 2.43384i 0.257987 + 0.257987i 0.824235 0.566248i \(-0.191606\pi\)
−0.566248 + 0.824235i \(0.691606\pi\)
\(90\) 0.0861874 + 1.42632i 0.00908495 + 0.150347i
\(91\) −0.791155 + 1.91002i −0.0829356 + 0.200224i
\(92\) −14.8829 + 1.80524i −1.55165 + 0.188209i
\(93\) 1.97291 0.817206i 0.204581 0.0847403i
\(94\) 0.428586 1.24174i 0.0442053 0.128076i
\(95\) −0.101585 −0.0104224
\(96\) 1.50178 + 4.82466i 0.153275 + 0.492414i
\(97\) 15.1794 1.54123 0.770615 0.637301i \(-0.219949\pi\)
0.770615 + 0.637301i \(0.219949\pi\)
\(98\) 0.461403 1.33683i 0.0466088 0.135040i
\(99\) 5.75724 2.38473i 0.578624 0.239674i
\(100\) 1.15343 + 9.50925i 0.115343 + 0.950925i
\(101\) −6.10556 + 14.7401i −0.607526 + 1.46670i 0.258157 + 0.966103i \(0.416885\pi\)
−0.865683 + 0.500593i \(0.833115\pi\)
\(102\) 0.530756 + 8.78349i 0.0525527 + 0.869695i
\(103\) 1.18807 + 1.18807i 0.117064 + 0.117064i 0.763212 0.646148i \(-0.223621\pi\)
−0.646148 + 0.763212i \(0.723621\pi\)
\(104\) 3.32263 4.81174i 0.325811 0.471830i
\(105\) 0.289810 0.289810i 0.0282825 0.0282825i
\(106\) 10.9689 + 9.71880i 1.06539 + 0.943974i
\(107\) −8.84093 3.66203i −0.854685 0.354022i −0.0880583 0.996115i \(-0.528066\pi\)
−0.766627 + 0.642093i \(0.778066\pi\)
\(108\) 8.09541 4.56450i 0.778981 0.439219i
\(109\) −2.11109 5.09663i −0.202206 0.488169i 0.789950 0.613171i \(-0.210106\pi\)
−0.992156 + 0.125002i \(0.960106\pi\)
\(110\) −1.65099 + 0.803746i −0.157416 + 0.0766342i
\(111\) 5.71766i 0.542697i
\(112\) −2.07020 + 3.42261i −0.195616 + 0.323406i
\(113\) 4.98624i 0.469066i 0.972108 + 0.234533i \(0.0753561\pi\)
−0.972108 + 0.234533i \(0.924644\pi\)
\(114\) 0.122420 + 0.251465i 0.0114656 + 0.0235519i
\(115\) −1.31621 3.17761i −0.122737 0.296313i
\(116\) 2.90305 + 0.809675i 0.269542 + 0.0751764i
\(117\) −4.20606 1.74221i −0.388850 0.161067i
\(118\) −12.6831 + 14.3144i −1.16757 + 1.31775i
\(119\) −4.92556 + 4.92556i −0.451525 + 0.451525i
\(120\) −0.973606 + 0.629226i −0.0888776 + 0.0574402i
\(121\) −2.11570 2.11570i −0.192336 0.192336i
\(122\) −11.3374 + 0.685079i −1.02644 + 0.0620242i
\(123\) −3.27745 + 7.91246i −0.295517 + 0.713442i
\(124\) −3.76342 2.94920i −0.337965 0.264846i
\(125\) −4.14982 + 1.71891i −0.371171 + 0.153744i
\(126\) 2.94383 + 1.01606i 0.262258 + 0.0905177i
\(127\) 5.10133 0.452670 0.226335 0.974050i \(-0.427326\pi\)
0.226335 + 0.974050i \(0.427326\pi\)
\(128\) 7.75831 8.23460i 0.685744 0.727843i
\(129\) 3.42962 0.301961
\(130\) 1.26810 + 0.437681i 0.111219 + 0.0383871i
\(131\) 16.0417 6.64469i 1.40157 0.580549i 0.451411 0.892316i \(-0.350921\pi\)
0.950159 + 0.311767i \(0.100921\pi\)
\(132\) 3.97922 + 3.11831i 0.346346 + 0.271414i
\(133\) −0.0847256 + 0.204546i −0.00734664 + 0.0177364i
\(134\) −7.64332 + 0.461860i −0.660283 + 0.0398986i
\(135\) 1.50762 + 1.50762i 0.129755 + 0.129755i
\(136\) 16.5473 10.6942i 1.41892 0.917023i
\(137\) 5.82373 5.82373i 0.497555 0.497555i −0.413121 0.910676i \(-0.635561\pi\)
0.910676 + 0.413121i \(0.135561\pi\)
\(138\) −6.27975 + 7.08749i −0.534568 + 0.603327i
\(139\) 3.86636 + 1.60150i 0.327941 + 0.135838i 0.540578 0.841294i \(-0.318205\pi\)
−0.212638 + 0.977131i \(0.568205\pi\)
\(140\) −0.883930 0.246532i −0.0747057 0.0208358i
\(141\) −0.317519 0.766559i −0.0267399 0.0645559i
\(142\) −3.79454 7.79446i −0.318431 0.654097i
\(143\) 5.85036i 0.489232i
\(144\) −7.53695 4.55880i −0.628079 0.379900i
\(145\) 0.691427i 0.0574199i
\(146\) −0.305094 + 0.148527i −0.0252497 + 0.0122922i
\(147\) −0.341832 0.825255i −0.0281938 0.0680659i
\(148\) −11.1515 + 6.28762i −0.916645 + 0.516839i
\(149\) −5.10381 2.11407i −0.418121 0.173191i 0.163697 0.986511i \(-0.447658\pi\)
−0.581817 + 0.813319i \(0.697658\pi\)
\(150\) 4.52845 + 4.01236i 0.369747 + 0.327608i
\(151\) −15.9461 + 15.9461i −1.29768 + 1.29768i −0.367753 + 0.929924i \(0.619873\pi\)
−0.929924 + 0.367753i \(0.880127\pi\)
\(152\) 0.355824 0.515294i 0.0288611 0.0417959i
\(153\) −10.8466 10.8466i −0.876896 0.876896i
\(154\) 0.241386 + 3.99470i 0.0194514 + 0.321902i
\(155\) 0.419772 1.01342i 0.0337169 0.0813997i
\(156\) −0.444734 3.66652i −0.0356072 0.293556i
\(157\) 1.57111 0.650774i 0.125388 0.0519374i −0.319107 0.947719i \(-0.603383\pi\)
0.444495 + 0.895781i \(0.353383\pi\)
\(158\) −0.215522 + 0.624433i −0.0171460 + 0.0496772i
\(159\) 9.25649 0.734088
\(160\) 2.29787 + 1.20693i 0.181663 + 0.0954159i
\(161\) −7.49601 −0.590768
\(162\) −1.13301 + 3.28268i −0.0890178 + 0.257912i
\(163\) −8.79789 + 3.64421i −0.689104 + 0.285436i −0.699627 0.714508i \(-0.746650\pi\)
0.0105227 + 0.999945i \(0.496650\pi\)
\(164\) 19.0363 2.30902i 1.48648 0.180304i
\(165\) −0.443842 + 1.07153i −0.0345530 + 0.0834184i
\(166\) −0.963986 15.9530i −0.0748198 1.23819i
\(167\) 5.37212 + 5.37212i 0.415707 + 0.415707i 0.883721 0.468014i \(-0.155030\pi\)
−0.468014 + 0.883721i \(0.655030\pi\)
\(168\) 0.454950 + 2.48519i 0.0351002 + 0.191737i
\(169\) 6.17015 6.17015i 0.474627 0.474627i
\(170\) 3.38310 + 2.99754i 0.259472 + 0.229901i
\(171\) −0.450431 0.186575i −0.0344453 0.0142677i
\(172\) −3.77150 6.68898i −0.287574 0.510030i
\(173\) 2.54841 + 6.15239i 0.193752 + 0.467758i 0.990662 0.136339i \(-0.0435338\pi\)
−0.796911 + 0.604097i \(0.793534\pi\)
\(174\) 1.71157 0.833236i 0.129754 0.0631674i
\(175\) 4.78947i 0.362050i
\(176\) 1.70594 11.1900i 0.128590 0.843481i
\(177\) 12.0798i 0.907970i
\(178\) −2.13064 4.37661i −0.159698 0.328041i
\(179\) 7.75977 + 18.7337i 0.579992 + 1.40023i 0.892819 + 0.450415i \(0.148724\pi\)
−0.312827 + 0.949810i \(0.601276\pi\)
\(180\) 0.542890 1.94651i 0.0404646 0.145084i
\(181\) −17.3566 7.18933i −1.29010 0.534379i −0.371088 0.928598i \(-0.621015\pi\)
−0.919017 + 0.394219i \(0.871015\pi\)
\(182\) 1.93893 2.18832i 0.143723 0.162209i
\(183\) −5.07280 + 5.07280i −0.374992 + 0.374992i
\(184\) 20.7289 + 4.45374i 1.52815 + 0.328334i
\(185\) −2.07675 2.07675i −0.152686 0.152686i
\(186\) −3.01450 + 0.182156i −0.221034 + 0.0133563i
\(187\) 7.54347 18.2115i 0.551633 1.33176i
\(188\) −1.14589 + 1.46225i −0.0835727 + 0.106645i
\(189\) 4.29306 1.77825i 0.312274 0.129348i
\(190\) 0.135802 + 0.0468716i 0.00985208 + 0.00340043i
\(191\) 21.9236 1.58634 0.793168 0.609003i \(-0.208430\pi\)
0.793168 + 0.609003i \(0.208430\pi\)
\(192\) 0.218492 7.14266i 0.0157683 0.515477i
\(193\) −7.91907 −0.570027 −0.285014 0.958523i \(-0.591998\pi\)
−0.285014 + 0.958523i \(0.591998\pi\)
\(194\) −20.2922 7.00381i −1.45689 0.502844i
\(195\) 0.782826 0.324257i 0.0560593 0.0232205i
\(196\) −1.23363 + 1.57421i −0.0881167 + 0.112444i
\(197\) 2.67859 6.46668i 0.190841 0.460732i −0.799278 0.600962i \(-0.794784\pi\)
0.990119 + 0.140230i \(0.0447843\pi\)
\(198\) −8.79675 + 0.531557i −0.625158 + 0.0377761i
\(199\) −15.9803 15.9803i −1.13282 1.13282i −0.989707 0.143108i \(-0.954290\pi\)
−0.143108 0.989707i \(-0.545710\pi\)
\(200\) 2.84566 13.2444i 0.201218 0.936522i
\(201\) −3.41993 + 3.41993i −0.241223 + 0.241223i
\(202\) 14.9632 16.8879i 1.05281 1.18823i
\(203\) 1.39222 + 0.576675i 0.0977145 + 0.0404747i
\(204\) 3.34320 11.9869i 0.234071 0.839251i
\(205\) 1.68352 + 4.06437i 0.117582 + 0.283868i
\(206\) −1.04007 2.13643i −0.0724650 0.148852i
\(207\) 16.5070i 1.14732i
\(208\) −6.66194 + 4.89940i −0.461922 + 0.339712i
\(209\) 0.626521i 0.0433373i
\(210\) −0.521144 + 0.253706i −0.0359624 + 0.0175074i
\(211\) 2.37390 + 5.73109i 0.163426 + 0.394545i 0.984285 0.176585i \(-0.0565052\pi\)
−0.820860 + 0.571130i \(0.806505\pi\)
\(212\) −10.1792 18.0534i −0.699112 1.23992i
\(213\) −5.05876 2.09541i −0.346620 0.143575i
\(214\) 10.1291 + 8.97474i 0.692412 + 0.613501i
\(215\) 1.24570 1.24570i 0.0849559 0.0849559i
\(216\) −12.9282 + 2.36670i −0.879655 + 0.161033i
\(217\) −1.69046 1.69046i −0.114756 0.114756i
\(218\) 0.470564 + 7.78738i 0.0318706 + 0.527428i
\(219\) −0.0820191 + 0.198012i −0.00554234 + 0.0133804i
\(220\) 2.57795 0.312694i 0.173805 0.0210819i
\(221\) −13.3048 + 5.51103i −0.894977 + 0.370712i
\(222\) −2.63815 + 7.64353i −0.177061 + 0.513000i
\(223\) −10.2125 −0.683880 −0.341940 0.939722i \(-0.611084\pi\)
−0.341940 + 0.939722i \(0.611084\pi\)
\(224\) 4.34671 3.62024i 0.290426 0.241888i
\(225\) −10.5469 −0.703128
\(226\) 2.30067 6.66574i 0.153038 0.443398i
\(227\) 10.9190 4.52281i 0.724722 0.300190i 0.0103408 0.999947i \(-0.496708\pi\)
0.714381 + 0.699757i \(0.246708\pi\)
\(228\) −0.0476269 0.392651i −0.00315417 0.0260039i
\(229\) 9.21240 22.2407i 0.608772 1.46971i −0.255564 0.966792i \(-0.582261\pi\)
0.864336 0.502914i \(-0.167739\pi\)
\(230\) 0.293384 + 4.85521i 0.0193452 + 0.320143i
\(231\) 1.78739 + 1.78739i 0.117601 + 0.117601i
\(232\) −3.50729 2.42187i −0.230265 0.159004i
\(233\) 0.630649 0.630649i 0.0413152 0.0413152i −0.686147 0.727463i \(-0.740699\pi\)
0.727463 + 0.686147i \(0.240699\pi\)
\(234\) 4.81891 + 4.26972i 0.315022 + 0.279120i
\(235\) −0.393756 0.163099i −0.0256858 0.0106394i
\(236\) 23.5598 13.2839i 1.53361 0.864709i
\(237\) 0.159670 + 0.385478i 0.0103717 + 0.0250395i
\(238\) 8.85729 4.31195i 0.574133 0.279502i
\(239\) 22.2467i 1.43902i 0.694483 + 0.719509i \(0.255633\pi\)
−0.694483 + 0.719509i \(0.744367\pi\)
\(240\) 1.59187 0.391941i 0.102755 0.0252997i
\(241\) 18.8940i 1.21707i 0.793528 + 0.608534i \(0.208242\pi\)
−0.793528 + 0.608534i \(0.791758\pi\)
\(242\) 1.85213 + 3.80451i 0.119060 + 0.244563i
\(243\) 6.17413 + 14.9057i 0.396071 + 0.956199i
\(244\) 15.4722 + 4.31528i 0.990508 + 0.276257i
\(245\) −0.423906 0.175588i −0.0270824 0.0112179i
\(246\) 8.03221 9.06536i 0.512115 0.577986i
\(247\) −0.323655 + 0.323655i −0.0205936 + 0.0205936i
\(248\) 3.67027 + 5.67903i 0.233062 + 0.360619i
\(249\) −7.13801 7.13801i −0.452353 0.452353i
\(250\) 6.34070 0.383147i 0.401021 0.0242323i
\(251\) −10.6325 + 25.6692i −0.671119 + 1.62022i 0.108594 + 0.994086i \(0.465365\pi\)
−0.779713 + 0.626137i \(0.784635\pi\)
\(252\) −3.46658 2.71659i −0.218374 0.171129i
\(253\) 19.5978 8.11765i 1.23210 0.510353i
\(254\) −6.81959 2.35377i −0.427899 0.147689i
\(255\) 2.85495 0.178784
\(256\) −14.1710 + 7.42853i −0.885687 + 0.464283i
\(257\) 20.3363 1.26855 0.634273 0.773109i \(-0.281300\pi\)
0.634273 + 0.773109i \(0.281300\pi\)
\(258\) −4.58481 1.58244i −0.285438 0.0985183i
\(259\) −5.91372 + 2.44954i −0.367461 + 0.152207i
\(260\) −1.49328 1.17021i −0.0926091 0.0725732i
\(261\) −1.26990 + 3.06581i −0.0786048 + 0.189769i
\(262\) −24.5109 + 1.48111i −1.51429 + 0.0915031i
\(263\) 13.5981 + 13.5981i 0.838495 + 0.838495i 0.988661 0.150166i \(-0.0479807\pi\)
−0.150166 + 0.988661i \(0.547981\pi\)
\(264\) −3.88072 6.00467i −0.238842 0.369562i
\(265\) 3.36212 3.36212i 0.206533 0.206533i
\(266\) 0.207641 0.234349i 0.0127313 0.0143689i
\(267\) −2.84051 1.17658i −0.173836 0.0720053i
\(268\) 10.4309 + 2.90923i 0.637169 + 0.177709i
\(269\) 2.65856 + 6.41832i 0.162095 + 0.391332i 0.983970 0.178337i \(-0.0570716\pi\)
−0.821875 + 0.569669i \(0.807072\pi\)
\(270\) −1.31981 2.71105i −0.0803208 0.164989i
\(271\) 0.953295i 0.0579086i 0.999581 + 0.0289543i \(0.00921772\pi\)
−0.999581 + 0.0289543i \(0.990782\pi\)
\(272\) −27.0552 + 6.66138i −1.64046 + 0.403905i
\(273\) 1.84669i 0.111767i
\(274\) −10.4724 + 5.09824i −0.632662 + 0.307996i
\(275\) −5.18666 12.5217i −0.312768 0.755088i
\(276\) 11.6651 6.57725i 0.702159 0.395904i
\(277\) 19.9308 + 8.25559i 1.19752 + 0.496030i 0.890198 0.455574i \(-0.150566\pi\)
0.307325 + 0.951605i \(0.400566\pi\)
\(278\) −4.42972 3.92488i −0.265677 0.235399i
\(279\) 3.72256 3.72256i 0.222864 0.222864i
\(280\) 1.06791 + 0.737420i 0.0638199 + 0.0440692i
\(281\) −17.4709 17.4709i −1.04223 1.04223i −0.999068 0.0431601i \(-0.986257\pi\)
−0.0431601 0.999068i \(-0.513743\pi\)
\(282\) 0.0707752 + 1.17126i 0.00421460 + 0.0697476i
\(283\) −5.86867 + 14.1682i −0.348856 + 0.842213i 0.647899 + 0.761726i \(0.275648\pi\)
−0.996756 + 0.0804875i \(0.974352\pi\)
\(284\) 1.47625 + 12.1707i 0.0875994 + 0.722196i
\(285\) 0.0838335 0.0347250i 0.00496587 0.00205693i
\(286\) −2.69938 + 7.82092i −0.159618 + 0.462461i
\(287\) 9.58789 0.565955
\(288\) 7.97215 + 9.57190i 0.469763 + 0.564030i
\(289\) −31.5223 −1.85425
\(290\) 0.319027 0.924318i 0.0187339 0.0542778i
\(291\) −12.5268 + 5.18879i −0.734337 + 0.304172i
\(292\) 0.476388 0.0577840i 0.0278785 0.00338155i
\(293\) −13.0272 + 31.4505i −0.761059 + 1.83736i −0.282643 + 0.959225i \(0.591211\pi\)
−0.478416 + 0.878133i \(0.658789\pi\)
\(294\) 0.0761946 + 1.26095i 0.00444376 + 0.0735399i
\(295\) 4.38758 + 4.38758i 0.255455 + 0.255455i
\(296\) 17.8087 3.26014i 1.03511 0.189492i
\(297\) −9.29818 + 9.29818i −0.539535 + 0.539535i
\(298\) 5.84748 + 5.18106i 0.338735 + 0.300131i
\(299\) −14.3175 5.93051i −0.828003 0.342970i
\(300\) −4.20244 7.45328i −0.242628 0.430315i
\(301\) −1.46931 3.54722i −0.0846895 0.204458i
\(302\) 28.6748 13.9596i 1.65005 0.803285i
\(303\) 14.2514i 0.818724i
\(304\) −0.713433 + 0.524681i −0.0409182 + 0.0300925i
\(305\) 3.68506i 0.211006i
\(306\) 9.49537 + 19.5047i 0.542814 + 1.11501i
\(307\) 4.75711 + 11.4847i 0.271502 + 0.655465i 0.999548 0.0300639i \(-0.00957107\pi\)
−0.728046 + 0.685529i \(0.759571\pi\)
\(308\) 1.52048 5.45160i 0.0866372 0.310634i
\(309\) −1.38659 0.574343i −0.0788801 0.0326732i
\(310\) −1.02876 + 1.16108i −0.0584294 + 0.0659450i
\(311\) 5.71908 5.71908i 0.324299 0.324299i −0.526115 0.850414i \(-0.676352\pi\)
0.850414 + 0.526115i \(0.176352\pi\)
\(312\) −1.09721 + 5.10670i −0.0621173 + 0.289110i
\(313\) −8.59321 8.59321i −0.485717 0.485717i 0.421235 0.906952i \(-0.361597\pi\)
−0.906952 + 0.421235i \(0.861597\pi\)
\(314\) −2.40057 + 0.145058i −0.135472 + 0.00818610i
\(315\) 0.386663 0.933486i 0.0217860 0.0525960i
\(316\) 0.576231 0.735317i 0.0324155 0.0413648i
\(317\) 12.5549 5.20040i 0.705152 0.292084i −0.00114478 0.999999i \(-0.500364\pi\)
0.706297 + 0.707916i \(0.250364\pi\)
\(318\) −12.3743 4.27098i −0.693918 0.239505i
\(319\) −4.26434 −0.238757
\(320\) −2.51498 2.67370i −0.140592 0.149464i
\(321\) 8.54782 0.477093
\(322\) 10.0209 + 3.45868i 0.558441 + 0.192745i
\(323\) −1.42482 + 0.590181i −0.0792792 + 0.0328385i
\(324\) 3.02928 3.86560i 0.168293 0.214756i
\(325\) −3.78922 + 9.14798i −0.210188 + 0.507438i
\(326\) 13.4427 0.812297i 0.744523 0.0449890i
\(327\) 3.48438 + 3.48438i 0.192687 + 0.192687i
\(328\) −26.5136 5.69663i −1.46397 0.314544i
\(329\) −0.656814 + 0.656814i −0.0362113 + 0.0362113i
\(330\) 1.08775 1.22766i 0.0598785 0.0675804i
\(331\) −1.09528 0.453681i −0.0602021 0.0249365i 0.352379 0.935857i \(-0.385373\pi\)
−0.412581 + 0.910921i \(0.635373\pi\)
\(332\) −6.07209 + 21.7712i −0.333249 + 1.19485i
\(333\) −5.39415 13.0226i −0.295598 0.713636i
\(334\) −4.70289 9.66032i −0.257330 0.528589i
\(335\) 2.48435i 0.135735i
\(336\) 0.538487 3.53219i 0.0293769 0.192697i
\(337\) 17.7644i 0.967687i −0.875155 0.483843i \(-0.839240\pi\)
0.875155 0.483843i \(-0.160760\pi\)
\(338\) −11.0953 + 5.40149i −0.603507 + 0.293803i
\(339\) −1.70446 4.11492i −0.0925733 0.223492i
\(340\) −3.13954 5.56816i −0.170266 0.301976i
\(341\) 6.25021 + 2.58892i 0.338468 + 0.140198i
\(342\) 0.516062 + 0.457248i 0.0279054 + 0.0247251i
\(343\) −0.707107 + 0.707107i −0.0381802 + 0.0381802i
\(344\) 1.95553 + 10.6822i 0.105435 + 0.575945i
\(345\) 2.17242 + 2.17242i 0.116959 + 0.116959i
\(346\) −0.568042 9.40053i −0.0305381 0.505376i
\(347\) −2.82825 + 6.82800i −0.151828 + 0.366546i −0.981433 0.191805i \(-0.938566\pi\)
0.829605 + 0.558351i \(0.188566\pi\)
\(348\) −2.67253 + 0.324167i −0.143263 + 0.0173772i
\(349\) −0.734679 + 0.304314i −0.0393265 + 0.0162896i −0.402260 0.915525i \(-0.631775\pi\)
0.362934 + 0.931815i \(0.381775\pi\)
\(350\) 2.20988 6.40270i 0.118123 0.342239i
\(351\) 9.60670 0.512768
\(352\) −7.44367 + 14.1720i −0.396749 + 0.755371i
\(353\) −5.07705 −0.270224 −0.135112 0.990830i \(-0.543139\pi\)
−0.135112 + 0.990830i \(0.543139\pi\)
\(354\) 5.57364 16.1485i 0.296236 0.858286i
\(355\) −2.59852 + 1.07634i −0.137915 + 0.0571263i
\(356\) 0.828919 + 6.83385i 0.0439326 + 0.362194i
\(357\) 2.38113 5.74856i 0.126023 0.304246i
\(358\) −1.72966 28.6242i −0.0914153 1.51283i
\(359\) 5.51522 + 5.51522i 0.291082 + 0.291082i 0.837508 0.546426i \(-0.184012\pi\)
−0.546426 + 0.837508i \(0.684012\pi\)
\(360\) −1.62387 + 2.35165i −0.0855857 + 0.123943i
\(361\) 13.4004 13.4004i 0.705283 0.705283i
\(362\) 19.8856 + 17.6193i 1.04516 + 0.926049i
\(363\) 2.46920 + 1.02278i 0.129600 + 0.0536819i
\(364\) −3.60171 + 2.03078i −0.188781 + 0.106442i
\(365\) 0.0421305 + 0.101712i 0.00220521 + 0.00532385i
\(366\) 9.12206 4.44085i 0.476818 0.232127i
\(367\) 31.4495i 1.64165i −0.571180 0.820825i \(-0.693514\pi\)
0.571180 0.820825i \(-0.306486\pi\)
\(368\) −25.6559 15.5183i −1.33741 0.808945i
\(369\) 21.1135i 1.09913i
\(370\) 1.81804 + 3.73448i 0.0945154 + 0.194147i
\(371\) −3.96564 9.57390i −0.205886 0.497052i
\(372\) 4.11391 + 1.14739i 0.213296 + 0.0594894i
\(373\) 33.9265 + 14.0528i 1.75665 + 0.727627i 0.997009 + 0.0772813i \(0.0246240\pi\)
0.759638 + 0.650346i \(0.225376\pi\)
\(374\) −18.4872 + 20.8651i −0.955949 + 1.07891i
\(375\) 2.83708 2.83708i 0.146506 0.146506i
\(376\) 2.20654 1.42605i 0.113794 0.0735431i
\(377\) 2.20292 + 2.20292i 0.113456 + 0.113456i
\(378\) −6.55957 + 0.396372i −0.337388 + 0.0203872i
\(379\) 1.04966 2.53411i 0.0539175 0.130168i −0.894625 0.446817i \(-0.852558\pi\)
0.948543 + 0.316649i \(0.102558\pi\)
\(380\) −0.159916 0.125319i −0.00820354 0.00642871i
\(381\) −4.20990 + 1.74380i −0.215680 + 0.0893374i
\(382\) −29.3081 10.1156i −1.49953 0.517560i
\(383\) −18.1753 −0.928712 −0.464356 0.885649i \(-0.653714\pi\)
−0.464356 + 0.885649i \(0.653714\pi\)
\(384\) −3.58773 + 9.44769i −0.183086 + 0.482125i
\(385\) 1.29842 0.0661736
\(386\) 10.5864 + 3.65389i 0.538835 + 0.185978i
\(387\) 7.81135 3.23557i 0.397073 0.164473i
\(388\) 23.8956 + 18.7258i 1.21311 + 0.950657i
\(389\) 1.38053 3.33289i 0.0699955 0.168984i −0.885010 0.465572i \(-0.845849\pi\)
0.955006 + 0.296588i \(0.0958487\pi\)
\(390\) −1.19612 + 0.0722771i −0.0605677 + 0.00365990i
\(391\) −36.9221 36.9221i −1.86723 1.86723i
\(392\) 2.37550 1.53525i 0.119981 0.0775418i
\(393\) −10.9671 + 10.9671i −0.553219 + 0.553219i
\(394\) −6.56456 + 7.40893i −0.330718 + 0.373256i
\(395\) 0.198007 + 0.0820172i 0.00996282 + 0.00412673i
\(396\) 12.0050 + 3.34825i 0.603274 + 0.168256i
\(397\) 9.27254 + 22.3859i 0.465376 + 1.12352i 0.966160 + 0.257944i \(0.0830450\pi\)
−0.500784 + 0.865572i \(0.666955\pi\)
\(398\) 13.9896 + 28.7363i 0.701233 + 1.44042i
\(399\) 0.197764i 0.00990059i
\(400\) −9.91517 + 16.3925i −0.495759 + 0.819625i
\(401\) 9.89930i 0.494348i −0.968971 0.247174i \(-0.920498\pi\)
0.968971 0.247174i \(-0.0795018\pi\)
\(402\) 6.14982 2.99388i 0.306725 0.149321i
\(403\) −1.89139 4.56621i −0.0942167 0.227459i
\(404\) −27.7953 + 15.6721i −1.38287 + 0.779715i
\(405\) 1.04094 + 0.431169i 0.0517245 + 0.0214250i
\(406\) −1.59507 1.41329i −0.0791622 0.0701403i
\(407\) 12.8083 12.8083i 0.634884 0.634884i
\(408\) −10.0001 + 14.4819i −0.495078 + 0.716959i
\(409\) 22.5950 + 22.5950i 1.11725 + 1.11725i 0.992143 + 0.125106i \(0.0399271\pi\)
0.125106 + 0.992143i \(0.460073\pi\)
\(410\) −0.375257 6.21014i −0.0185326 0.306697i
\(411\) −2.81533 + 6.79681i −0.138870 + 0.335262i
\(412\) 0.404635 + 3.33593i 0.0199349 + 0.164350i
\(413\) 12.4940 5.17517i 0.614788 0.254654i
\(414\) −7.61639 + 22.0670i −0.374325 + 1.08453i
\(415\) −5.18530 −0.254536
\(416\) 11.1665 3.47581i 0.547481 0.170415i
\(417\) −3.73818 −0.183060
\(418\) −0.289079 + 0.837550i −0.0141393 + 0.0409659i
\(419\) −1.73910 + 0.720360i −0.0849607 + 0.0351919i −0.424759 0.905306i \(-0.639641\pi\)
0.339798 + 0.940498i \(0.389641\pi\)
\(420\) 0.813741 0.0987035i 0.0397065 0.00481624i
\(421\) 10.8523 26.1998i 0.528910 1.27690i −0.403328 0.915055i \(-0.632147\pi\)
0.932238 0.361846i \(-0.117853\pi\)
\(422\) −0.529143 8.75680i −0.0257583 0.426275i
\(423\) −1.44637 1.44637i −0.0703250 0.0703250i
\(424\) 5.27794 + 28.8311i 0.256319 + 1.40016i
\(425\) −23.5908 + 23.5908i −1.14432 + 1.14432i
\(426\) 5.79586 + 5.13533i 0.280810 + 0.248807i
\(427\) 7.42002 + 3.07347i 0.359080 + 0.148736i
\(428\) −9.39991 16.6713i −0.454362 0.805837i
\(429\) 1.99984 + 4.82804i 0.0965532 + 0.233100i
\(430\) −2.24005 + 1.09051i −0.108025 + 0.0525892i
\(431\) 17.1918i 0.828100i −0.910254 0.414050i \(-0.864114\pi\)
0.910254 0.414050i \(-0.135886\pi\)
\(432\) 18.3748 + 2.80127i 0.884059 + 0.134776i
\(433\) 21.8067i 1.04796i −0.851730 0.523982i \(-0.824446\pi\)
0.851730 0.523982i \(-0.175554\pi\)
\(434\) 1.47986 + 3.03983i 0.0710358 + 0.145916i
\(435\) −0.236352 0.570604i −0.0113322 0.0273583i
\(436\) 2.96406 10.6275i 0.141953 0.508965i
\(437\) −1.53328 0.635104i −0.0733465 0.0303811i
\(438\) 0.201009 0.226864i 0.00960457 0.0108400i
\(439\) 18.9425 18.9425i 0.904078 0.904078i −0.0917084 0.995786i \(-0.529233\pi\)
0.995786 + 0.0917084i \(0.0292328\pi\)
\(440\) −3.59055 0.771455i −0.171173 0.0367777i
\(441\) −1.55712 1.55712i −0.0741487 0.0741487i
\(442\) 20.3290 1.22841i 0.966953 0.0584296i
\(443\) 10.7340 25.9141i 0.509986 1.23122i −0.433905 0.900959i \(-0.642864\pi\)
0.943891 0.330257i \(-0.107136\pi\)
\(444\) 7.05350 9.00082i 0.334744 0.427160i
\(445\) −1.45907 + 0.604368i −0.0691667 + 0.0286498i
\(446\) 13.6524 + 4.71209i 0.646458 + 0.223124i
\(447\) 4.93461 0.233399
\(448\) −7.48119 + 2.83405i −0.353453 + 0.133896i
\(449\) 24.6114 1.16149 0.580743 0.814087i \(-0.302762\pi\)
0.580743 + 0.814087i \(0.302762\pi\)
\(450\) 14.0994 + 4.86638i 0.664652 + 0.229404i
\(451\) −25.0668 + 10.3830i −1.18035 + 0.488917i
\(452\) −6.15119 + 7.84940i −0.289328 + 0.369205i
\(453\) 7.70872 18.6105i 0.362187 0.874398i
\(454\) −16.6837 + 1.00814i −0.783005 + 0.0473143i
\(455\) −0.670752 0.670752i −0.0314453 0.0314453i
\(456\) −0.117501 + 0.546881i −0.00550250 + 0.0256101i
\(457\) −3.43461 + 3.43461i −0.160664 + 0.160664i −0.782861 0.622197i \(-0.786240\pi\)
0.622197 + 0.782861i \(0.286240\pi\)
\(458\) −22.5773 + 25.4813i −1.05497 + 1.19066i
\(459\) 29.9046 + 12.3869i 1.39583 + 0.578171i
\(460\) 1.84801 6.62595i 0.0861639 0.308937i
\(461\) 3.31004 + 7.99114i 0.154164 + 0.372185i 0.982026 0.188748i \(-0.0604428\pi\)
−0.827862 + 0.560932i \(0.810443\pi\)
\(462\) −1.56472 3.21413i −0.0727974 0.149535i
\(463\) 21.6208i 1.00480i 0.864634 + 0.502401i \(0.167550\pi\)
−0.864634 + 0.502401i \(0.832450\pi\)
\(464\) 3.57118 + 4.85590i 0.165788 + 0.225430i
\(465\) 0.979820i 0.0454381i
\(466\) −1.13405 + 0.552086i −0.0525340 + 0.0255749i
\(467\) −5.16334 12.4654i −0.238931 0.576831i 0.758242 0.651974i \(-0.226059\pi\)
−0.997173 + 0.0751430i \(0.976059\pi\)
\(468\) −4.47199 7.93134i −0.206718 0.366626i
\(469\) 5.00235 + 2.07204i 0.230987 + 0.0956780i
\(470\) 0.451129 + 0.399716i 0.0208090 + 0.0184375i
\(471\) −1.07411 + 1.07411i −0.0494923 + 0.0494923i
\(472\) −37.6246 + 6.88773i −1.73181 + 0.317033i
\(473\) 7.68279 + 7.68279i 0.353255 + 0.353255i
\(474\) −0.0355906 0.588989i −0.00163473 0.0270532i
\(475\) −0.405791 + 0.979665i −0.0186190 + 0.0449501i
\(476\) −13.8302 + 1.67755i −0.633907 + 0.0768904i
\(477\) 21.0827 8.73275i 0.965312 0.399845i
\(478\) 10.2647 29.7400i 0.469496 1.36027i
\(479\) 2.96383 0.135421 0.0677104 0.997705i \(-0.478431\pi\)
0.0677104 + 0.997705i \(0.478431\pi\)
\(480\) −2.30890 0.210536i −0.105386 0.00960962i
\(481\) −13.2333 −0.603386
\(482\) 8.71774 25.2580i 0.397082 1.15047i
\(483\) 6.18612 2.56238i 0.281478 0.116592i
\(484\) −0.720565 5.94056i −0.0327530 0.270025i
\(485\) −2.66531 + 6.43463i −0.121026 + 0.292181i
\(486\) −1.37622 22.7751i −0.0624266 1.03310i
\(487\) −22.8755 22.8755i −1.03659 1.03659i −0.999305 0.0372822i \(-0.988130\pi\)
−0.0372822 0.999305i \(-0.511870\pi\)
\(488\) −18.6926 12.9077i −0.846175 0.584305i
\(489\) 6.01480 6.01480i 0.271999 0.271999i
\(490\) 0.485673 + 0.430322i 0.0219405 + 0.0194400i
\(491\) −24.7708 10.2604i −1.11789 0.463045i −0.254242 0.967141i \(-0.581826\pi\)
−0.863648 + 0.504095i \(0.831826\pi\)
\(492\) −14.9205 + 8.41273i −0.672667 + 0.379275i
\(493\) 4.01700 + 9.69790i 0.180917 + 0.436771i
\(494\) 0.582006 0.283335i 0.0261857 0.0127478i
\(495\) 2.85926i 0.128514i
\(496\) −2.28619 9.28535i −0.102653 0.416925i
\(497\) 6.12993i 0.274965i
\(498\) 6.24878 + 12.8358i 0.280015 + 0.575186i
\(499\) −5.00028 12.0717i −0.223843 0.540405i 0.771562 0.636154i \(-0.219476\pi\)
−0.995406 + 0.0957485i \(0.969476\pi\)
\(500\) −8.65321 2.41342i −0.386983 0.107931i
\(501\) −6.26974 2.59701i −0.280111 0.116026i
\(502\) 26.0577 29.4094i 1.16301 1.31260i
\(503\) 5.62313 5.62313i 0.250723 0.250723i −0.570544 0.821267i \(-0.693268\pi\)
0.821267 + 0.570544i \(0.193268\pi\)
\(504\) 3.38078 + 5.23110i 0.150592 + 0.233012i
\(505\) −5.17637 5.17637i −0.230345 0.230345i
\(506\) −29.9443 + 1.80943i −1.33119 + 0.0804390i
\(507\) −2.98279 + 7.20110i −0.132471 + 0.319812i
\(508\) 8.03058 + 6.29317i 0.356299 + 0.279214i
\(509\) −15.7699 + 6.53209i −0.698987 + 0.289530i −0.703739 0.710459i \(-0.748487\pi\)
0.00475194 + 0.999989i \(0.498487\pi\)
\(510\) −3.81657 1.31728i −0.169001 0.0583303i
\(511\) 0.239940 0.0106143
\(512\) 22.3717 3.39212i 0.988699 0.149912i
\(513\) 1.02879 0.0454222
\(514\) −27.1862 9.38326i −1.19913 0.413878i
\(515\) −0.712244 + 0.295021i −0.0313852 + 0.0130002i
\(516\) 5.39896 + 4.23089i 0.237676 + 0.186255i
\(517\) 1.00591 2.42847i 0.0442397 0.106804i
\(518\) 9.03585 0.546005i 0.397013 0.0239901i
\(519\) −4.20617 4.20617i −0.184630 0.184630i
\(520\) 1.45632 + 2.25337i 0.0638637 + 0.0988167i
\(521\) 27.4517 27.4517i 1.20268 1.20268i 0.229330 0.973349i \(-0.426346\pi\)
0.973349 0.229330i \(-0.0736536\pi\)
\(522\) 3.11221 3.51252i 0.136218 0.153739i
\(523\) −34.9352 14.4706i −1.52761 0.632757i −0.548512 0.836143i \(-0.684806\pi\)
−0.979099 + 0.203385i \(0.934806\pi\)
\(524\) 33.4502 + 9.32941i 1.46128 + 0.407557i
\(525\) −1.63719 3.95254i −0.0714530 0.172503i
\(526\) −11.9041 24.4525i −0.519044 1.06618i
\(527\) 16.6529i 0.725411i
\(528\) 2.41728 + 9.81778i 0.105199 + 0.427264i
\(529\) 33.1902i 1.44305i
\(530\) −6.04587 + 2.94328i −0.262616 + 0.127848i
\(531\) 11.3963 + 27.5130i 0.494556 + 1.19396i
\(532\) −0.385710 + 0.217478i −0.0167227 + 0.00942888i
\(533\) 18.3130 + 7.58551i 0.793226 + 0.328565i
\(534\) 3.25439 + 2.88350i 0.140831 + 0.124781i
\(535\) 3.10472 3.10472i 0.134229 0.134229i
\(536\) −12.6020 8.70199i −0.544323 0.375869i
\(537\) −12.8076 12.8076i −0.552688 0.552688i
\(538\) −0.592594 9.80686i −0.0255486 0.422804i
\(539\) 1.08293 2.61442i 0.0466451 0.112611i
\(540\) 0.513466 + 4.23316i 0.0220961 + 0.182166i
\(541\) −0.0811782 + 0.0336251i −0.00349012 + 0.00144566i −0.384428 0.923155i \(-0.625601\pi\)
0.380938 + 0.924601i \(0.375601\pi\)
\(542\) 0.439854 1.27439i 0.0188933 0.0547398i
\(543\) 16.7812 0.720149
\(544\) 39.2417 + 3.57824i 1.68247 + 0.153416i
\(545\) 2.53118 0.108424
\(546\) −0.852071 + 2.46871i −0.0364653 + 0.105651i
\(547\) −12.6813 + 5.25276i −0.542212 + 0.224592i −0.636943 0.770911i \(-0.719801\pi\)
0.0947302 + 0.995503i \(0.469801\pi\)
\(548\) 16.3522 1.98345i 0.698529 0.0847288i
\(549\) −6.76810 + 16.3397i −0.288856 + 0.697359i
\(550\) 1.15611 + 19.1325i 0.0492968 + 0.815813i
\(551\) 0.235913 + 0.235913i 0.0100502 + 0.0100502i
\(552\) −18.6290 + 3.41031i −0.792904 + 0.145152i
\(553\) 0.330290 0.330290i 0.0140454 0.0140454i
\(554\) −22.8348 20.2324i −0.970158 0.859593i
\(555\) 2.42375 + 1.00395i 0.102883 + 0.0426154i
\(556\) 4.11082 + 7.29078i 0.174338 + 0.309198i
\(557\) −1.97657 4.77187i −0.0837500 0.202190i 0.876457 0.481481i \(-0.159901\pi\)
−0.960207 + 0.279290i \(0.909901\pi\)
\(558\) −6.69402 + 3.25882i −0.283380 + 0.137957i
\(559\) 7.93771i 0.335729i
\(560\) −1.08736 1.47854i −0.0459495 0.0624797i
\(561\) 17.6078i 0.743401i
\(562\) 15.2945 + 31.4168i 0.645158 + 1.32524i
\(563\) −11.6999 28.2460i −0.493091 1.19043i −0.953139 0.302533i \(-0.902168\pi\)
0.460048 0.887894i \(-0.347832\pi\)
\(564\) 0.445809 1.59843i 0.0187720 0.0673060i
\(565\) −2.11370 0.875523i −0.0889240 0.0368335i
\(566\) 14.3827 16.2326i 0.604548 0.682309i
\(567\) 1.73636 1.73636i 0.0729201 0.0729201i
\(568\) 3.64209 16.9512i 0.152819 0.711257i
\(569\) 15.2976 + 15.2976i 0.641308 + 0.641308i 0.950877 0.309569i \(-0.100185\pi\)
−0.309569 + 0.950877i \(0.600185\pi\)
\(570\) −0.128093 + 0.00774023i −0.00536523 + 0.000324202i
\(571\) −4.17965 + 10.0906i −0.174913 + 0.422277i −0.986886 0.161417i \(-0.948393\pi\)
0.811973 + 0.583695i \(0.198393\pi\)
\(572\) 7.21720 9.20972i 0.301766 0.385078i
\(573\) −18.0926 + 7.49419i −0.755828 + 0.313074i
\(574\) −12.8174 4.42388i −0.534986 0.184649i
\(575\) −35.9019 −1.49721
\(576\) −6.24088 16.4744i −0.260037 0.686431i
\(577\) −12.0481 −0.501567 −0.250784 0.968043i \(-0.580688\pi\)
−0.250784 + 0.968043i \(0.580688\pi\)
\(578\) 42.1399 + 14.5445i 1.75279 + 0.604971i
\(579\) 6.53525 2.70699i 0.271596 0.112499i
\(580\) −0.852967 + 1.08845i −0.0354175 + 0.0451956i
\(581\) −4.32473 + 10.4408i −0.179420 + 0.433158i
\(582\) 19.1404 1.15659i 0.793393 0.0479420i
\(583\) 20.7357 + 20.7357i 0.858786 + 0.858786i
\(584\) −0.663510 0.142560i −0.0274563 0.00589917i
\(585\) 1.47706 1.47706i 0.0610691 0.0610691i
\(586\) 31.9265 36.0331i 1.31887 1.48851i
\(587\) 38.0844 + 15.7751i 1.57191 + 0.651107i 0.987106 0.160067i \(-0.0511709\pi\)
0.584805 + 0.811174i \(0.301171\pi\)
\(588\) 0.479946 1.72082i 0.0197926 0.0709656i
\(589\) −0.202550 0.489000i −0.00834594 0.0201489i
\(590\) −3.84099 7.88988i −0.158131 0.324821i
\(591\) 6.25229i 0.257185i
\(592\) −25.3114 3.85876i −1.04029 0.158594i
\(593\) 37.8260i 1.55333i −0.629916 0.776663i \(-0.716911\pi\)
0.629916 0.776663i \(-0.283089\pi\)
\(594\) 16.7203 8.13984i 0.686041 0.333982i
\(595\) −1.22311 2.95285i −0.0501426 0.121055i
\(596\) −5.42651 9.62423i −0.222278 0.394224i
\(597\) 18.6504 + 7.72526i 0.763311 + 0.316174i
\(598\) 16.4037 + 14.5342i 0.670796 + 0.594348i
\(599\) −26.1072 + 26.1072i −1.06671 + 1.06671i −0.0690998 + 0.997610i \(0.522013\pi\)
−0.997610 + 0.0690998i \(0.977987\pi\)
\(600\) 2.17897 + 11.9028i 0.0889561 + 0.485928i
\(601\) 14.4627 + 14.4627i 0.589944 + 0.589944i 0.937616 0.347672i \(-0.113028\pi\)
−0.347672 + 0.937616i \(0.613028\pi\)
\(602\) 0.327510 + 5.41997i 0.0133483 + 0.220901i
\(603\) −4.56285 + 11.0157i −0.185814 + 0.448594i
\(604\) −44.7742 + 5.43094i −1.82184 + 0.220982i
\(605\) 1.26835 0.525367i 0.0515657 0.0213592i
\(606\) −6.57566 + 19.0517i −0.267118 + 0.773923i
\(607\) −24.8541 −1.00880 −0.504399 0.863471i \(-0.668286\pi\)
−0.504399 + 0.863471i \(0.668286\pi\)
\(608\) 1.19583 0.372227i 0.0484972 0.0150958i
\(609\) −1.34606 −0.0545451
\(610\) 1.70030 4.92628i 0.0688430 0.199459i
\(611\) −1.77417 + 0.734884i −0.0717751 + 0.0297302i
\(612\) −3.69414 30.4556i −0.149327 1.23109i
\(613\) −9.97940 + 24.0924i −0.403064 + 0.973083i 0.583853 + 0.811859i \(0.301544\pi\)
−0.986918 + 0.161224i \(0.948456\pi\)
\(614\) −1.06036 17.5480i −0.0427928 0.708178i
\(615\) −2.77866 2.77866i −0.112046 0.112046i
\(616\) −4.54800 + 6.58630i −0.183244 + 0.265369i
\(617\) −23.5196 + 23.5196i −0.946865 + 0.946865i −0.998658 0.0517933i \(-0.983506\pi\)
0.0517933 + 0.998658i \(0.483506\pi\)
\(618\) 1.58862 + 1.40757i 0.0639038 + 0.0566209i
\(619\) 38.4562 + 15.9291i 1.54569 + 0.640244i 0.982529 0.186107i \(-0.0595871\pi\)
0.563156 + 0.826351i \(0.309587\pi\)
\(620\) 1.91100 1.07749i 0.0767475 0.0432731i
\(621\) 13.3297 + 32.1809i 0.534904 + 1.29137i
\(622\) −10.2842 + 5.00662i −0.412360 + 0.200747i
\(623\) 3.44197i 0.137900i
\(624\) 3.82303 6.32052i 0.153044 0.253023i
\(625\) 21.8864i 0.875456i
\(626\) 7.52270 + 15.4526i 0.300668 + 0.617609i
\(627\) 0.214165 + 0.517040i 0.00855292 + 0.0206486i
\(628\) 3.27607 + 0.913713i 0.130730 + 0.0364611i
\(629\) −41.1938 17.0630i −1.64250 0.680347i
\(630\) −0.947615 + 1.06950i −0.0377539 + 0.0426100i
\(631\) 11.4573 11.4573i 0.456108 0.456108i −0.441267 0.897376i \(-0.645471\pi\)
0.897376 + 0.441267i \(0.145471\pi\)
\(632\) −1.10960 + 0.717116i −0.0441375 + 0.0285254i
\(633\) −3.91814 3.91814i −0.155732 0.155732i
\(634\) −19.1832 + 1.15917i −0.761861 + 0.0460367i
\(635\) −0.895731 + 2.16249i −0.0355460 + 0.0858156i
\(636\) 14.5717 + 11.4191i 0.577806 + 0.452798i
\(637\) −1.91002 + 0.791155i −0.0756777 + 0.0313467i
\(638\) 5.70069 + 1.96758i 0.225693 + 0.0778974i
\(639\) −13.4988 −0.534002
\(640\) 2.12844 + 4.73469i 0.0841339 + 0.187155i
\(641\) −6.35924 −0.251175 −0.125587 0.992083i \(-0.540082\pi\)
−0.125587 + 0.992083i \(0.540082\pi\)
\(642\) −11.4270 3.94399i −0.450986 0.155657i
\(643\) −25.2199 + 10.4464i −0.994574 + 0.411966i −0.819805 0.572643i \(-0.805918\pi\)
−0.174770 + 0.984609i \(0.555918\pi\)
\(644\) −11.8003 9.24733i −0.464998 0.364396i
\(645\) −0.602199 + 1.45384i −0.0237116 + 0.0572448i
\(646\) 2.17705 0.131552i 0.0856550 0.00517584i
\(647\) 11.9189 + 11.9189i 0.468580 + 0.468580i 0.901454 0.432874i \(-0.142500\pi\)
−0.432874 + 0.901454i \(0.642500\pi\)
\(648\) −5.83323 + 3.76992i −0.229151 + 0.148097i
\(649\) −27.0602 + 27.0602i −1.06221 + 1.06221i
\(650\) 9.28643 10.4809i 0.364244 0.411095i
\(651\) 1.97291 + 0.817206i 0.0773244 + 0.0320288i
\(652\) −18.3454 5.11661i −0.718461 0.200382i
\(653\) −16.0678 38.7910i −0.628780 1.51801i −0.841139 0.540819i \(-0.818115\pi\)
0.212359 0.977192i \(-0.431885\pi\)
\(654\) −3.05031 6.26572i −0.119277 0.245009i
\(655\) 7.96691i 0.311293i
\(656\) 32.8156 + 19.8489i 1.28123 + 0.774968i
\(657\) 0.528373i 0.0206138i
\(658\) 1.18110 0.574990i 0.0460442 0.0224155i
\(659\) 7.12738 + 17.2070i 0.277643 + 0.670291i 0.999769 0.0214709i \(-0.00683492\pi\)
−0.722126 + 0.691762i \(0.756835\pi\)
\(660\) −2.02057 + 1.13928i −0.0786508 + 0.0443463i
\(661\) 33.8178 + 14.0078i 1.31536 + 0.544840i 0.926444 0.376434i \(-0.122850\pi\)
0.388916 + 0.921273i \(0.372850\pi\)
\(662\) 1.25487 + 1.11186i 0.0487720 + 0.0432137i
\(663\) 9.09601 9.09601i 0.353260 0.353260i
\(664\) 18.1627 26.3027i 0.704848 1.02074i
\(665\) −0.0718314 0.0718314i −0.00278550 0.00278550i
\(666\) 1.20236 + 19.8979i 0.0465905 + 0.771028i
\(667\) −4.32276 + 10.4361i −0.167378 + 0.404086i
\(668\) 1.82964 + 15.0841i 0.0707909 + 0.583622i
\(669\) 8.42793 3.49096i 0.325843 0.134968i
\(670\) 1.14629 3.32115i 0.0442850 0.128307i
\(671\) −22.7274 −0.877382
\(672\) −2.34963 + 4.47347i −0.0906389 + 0.172568i
\(673\) −15.8505 −0.610991 −0.305495 0.952194i \(-0.598822\pi\)
−0.305495 + 0.952194i \(0.598822\pi\)
\(674\) −8.19654 + 23.7479i −0.315719 + 0.914734i
\(675\) 20.5615 8.51686i 0.791413 0.327814i
\(676\) 17.3248 2.10143i 0.666340 0.0808243i
\(677\) −7.98658 + 19.2813i −0.306949 + 0.741041i 0.692851 + 0.721080i \(0.256354\pi\)
−0.999801 + 0.0199610i \(0.993646\pi\)
\(678\) 0.379925 + 6.28738i 0.0145909 + 0.241465i
\(679\) 10.7334 + 10.7334i 0.411911 + 0.411911i
\(680\) 1.62786 + 8.89227i 0.0624254 + 0.341003i
\(681\) −7.46495 + 7.46495i −0.286058 + 0.286058i
\(682\) −7.16092 6.34481i −0.274206 0.242955i
\(683\) 11.4860 + 4.75764i 0.439498 + 0.182046i 0.591450 0.806342i \(-0.298556\pi\)
−0.151952 + 0.988388i \(0.548556\pi\)
\(684\) −0.478910 0.849374i −0.0183116 0.0324766i
\(685\) 1.44614 + 3.49130i 0.0552542 + 0.133396i
\(686\) 1.27154 0.619018i 0.0485477 0.0236342i
\(687\) 21.5033i 0.820404i
\(688\) 2.31460 15.1825i 0.0882431 0.578828i
\(689\) 21.4238i 0.816180i
\(690\) −1.90178 3.90650i −0.0723997 0.148718i
\(691\) 11.9990 + 28.9682i 0.456464 + 1.10200i 0.969819 + 0.243825i \(0.0784023\pi\)
−0.513355 + 0.858176i \(0.671598\pi\)
\(692\) −3.57806 + 12.8290i −0.136018 + 0.487685i
\(693\) 5.75724 + 2.38473i 0.218699 + 0.0905882i
\(694\) 6.93134 7.82289i 0.263110 0.296953i
\(695\) −1.35777 + 1.35777i −0.0515033 + 0.0515033i
\(696\) 3.72229 + 0.799760i 0.141093 + 0.0303148i
\(697\) 47.2257 + 47.2257i 1.78880 + 1.78880i
\(698\) 1.12255 0.0678318i 0.0424892 0.00256747i
\(699\) −0.304871 + 0.736023i −0.0115313 + 0.0278389i
\(700\) −5.90845 + 7.53965i −0.223319 + 0.284972i
\(701\) −41.9077 + 17.3587i −1.58283 + 0.655630i −0.988859 0.148856i \(-0.952441\pi\)
−0.593971 + 0.804486i \(0.702441\pi\)
\(702\) −12.8425 4.43256i −0.484709 0.167296i
\(703\) −1.41716 −0.0534494
\(704\) 16.4899 15.5110i 0.621487 0.584593i
\(705\) 0.380702 0.0143381
\(706\) 6.78714 + 2.34257i 0.255437 + 0.0881637i
\(707\) −14.7401 + 6.10556i −0.554359 + 0.229623i
\(708\) −14.9020 + 19.0161i −0.560051 + 0.714670i
\(709\) 15.0903 36.4312i 0.566728 1.36820i −0.337569 0.941301i \(-0.609605\pi\)
0.904298 0.426902i \(-0.140395\pi\)
\(710\) 3.97040 0.239917i 0.149006 0.00900394i
\(711\) 0.727334 + 0.727334i 0.0272771 + 0.0272771i
\(712\) 2.04504 9.51815i 0.0766412 0.356708i
\(713\) 12.6717 12.6717i 0.474558 0.474558i
\(714\) −5.83557 + 6.58617i −0.218391 + 0.246481i
\(715\) 2.48001 + 1.02725i 0.0927470 + 0.0384171i
\(716\) −10.8950 + 39.0636i −0.407166 + 1.45988i
\(717\) −7.60463 18.3592i −0.284000 0.685637i
\(718\) −4.82816 9.91764i −0.180185 0.370123i
\(719\) 52.3678i 1.95299i 0.215538 + 0.976495i \(0.430849\pi\)
−0.215538 + 0.976495i \(0.569151\pi\)
\(720\) 3.25590 2.39449i 0.121340 0.0892374i
\(721\) 1.68019i 0.0625736i
\(722\) −24.0970 + 11.7310i −0.896796 + 0.436583i
\(723\) −6.45856 15.5924i −0.240197 0.579886i
\(724\) −18.4540 32.7292i −0.685837 1.21637i
\(725\) 6.66798 + 2.76197i 0.247643 + 0.102577i
\(726\) −2.82899 2.50658i −0.104994 0.0930278i
\(727\) 27.5847 27.5847i 1.02306 1.02306i 0.0233314 0.999728i \(-0.492573\pi\)
0.999728 0.0233314i \(-0.00742728\pi\)
\(728\) 5.75187 1.05296i 0.213179 0.0390254i
\(729\) −4.98140 4.98140i −0.184496 0.184496i
\(730\) −0.00939093 0.155411i −0.000347574 0.00575201i
\(731\) 10.2349 24.7092i 0.378551 0.913904i
\(732\) −14.2436 + 1.72770i −0.526460 + 0.0638575i
\(733\) −25.6783 + 10.6363i −0.948449 + 0.392861i −0.802648 0.596453i \(-0.796576\pi\)
−0.145801 + 0.989314i \(0.546576\pi\)
\(734\) −14.5109 + 42.0425i −0.535607 + 1.55182i
\(735\) 0.409853 0.0151176
\(736\) 27.1374 + 32.5830i 1.00030 + 1.20102i
\(737\) −15.3221 −0.564398
\(738\) 9.74186 28.2251i 0.358603 1.03898i
\(739\) 8.42293 3.48889i 0.309842 0.128341i −0.222344 0.974968i \(-0.571371\pi\)
0.532186 + 0.846627i \(0.321371\pi\)
\(740\) −0.707302 5.83121i −0.0260009 0.214360i
\(741\) 0.156462 0.377733i 0.00574778 0.0138764i
\(742\) 0.883944 + 14.6284i 0.0324506 + 0.537026i
\(743\) 24.3741 + 24.3741i 0.894199 + 0.894199i 0.994915 0.100716i \(-0.0321135\pi\)
−0.100716 + 0.994915i \(0.532113\pi\)
\(744\) −4.97018 3.43203i −0.182216 0.125824i
\(745\) 1.79233 1.79233i 0.0656661 0.0656661i
\(746\) −38.8698 34.4400i −1.42313 1.26094i
\(747\) −22.9918 9.52351i −0.841225 0.348447i
\(748\) 34.3414 19.3630i 1.25565 0.707981i
\(749\) −3.66203 8.84093i −0.133808 0.323040i
\(750\) −5.10173 + 2.48365i −0.186289 + 0.0906900i
\(751\) 51.6433i 1.88449i 0.334922 + 0.942246i \(0.391290\pi\)
−0.334922 + 0.942246i \(0.608710\pi\)
\(752\) −3.60775 + 0.888281i −0.131561 + 0.0323923i
\(753\) 24.8182i 0.904424i
\(754\) −1.92849 3.96136i −0.0702314 0.144264i
\(755\) −3.95972 9.55960i −0.144109 0.347910i
\(756\) 8.95190 + 2.49673i 0.325578 + 0.0908051i
\(757\) −27.9391 11.5727i −1.01546 0.420619i −0.188018 0.982165i \(-0.560206\pi\)
−0.827445 + 0.561547i \(0.810206\pi\)
\(758\) −2.57246 + 2.90335i −0.0934360 + 0.105454i
\(759\) −13.3983 + 13.3983i −0.486327 + 0.486327i
\(760\) 0.155958 + 0.241315i 0.00565720 + 0.00875342i
\(761\) −9.95169 9.95169i −0.360748 0.360748i 0.503340 0.864088i \(-0.332104\pi\)
−0.864088 + 0.503340i \(0.832104\pi\)
\(762\) 6.43250 0.388694i 0.233025 0.0140809i
\(763\) 2.11109 5.09663i 0.0764267 0.184510i
\(764\) 34.5124 + 27.0457i 1.24862 + 0.978479i
\(765\) 6.50247 2.69341i 0.235097 0.0973805i
\(766\) 24.2972 + 8.38613i 0.877893 + 0.303003i
\(767\) 27.9581 1.00951
\(768\) 9.15537 10.9745i 0.330366 0.396009i
\(769\) 40.9565 1.47693 0.738465 0.674292i \(-0.235551\pi\)
0.738465 + 0.674292i \(0.235551\pi\)
\(770\) −1.73576 0.599096i −0.0625526 0.0215899i
\(771\) −16.7827 + 6.95161i −0.604413 + 0.250356i
\(772\) −12.4663 9.76923i −0.448672 0.351602i
\(773\) 16.5319