Properties

Label 225.2.q.a.106.6
Level $225$
Weight $2$
Character 225.106
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 106.6
Character \(\chi\) \(=\) 225.106
Dual form 225.2.q.a.121.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.68376 - 0.357895i) q^{2} +(-0.402409 - 1.68466i) q^{3} +(0.879882 + 0.391749i) q^{4} +(1.96791 + 1.06176i) q^{5} +(0.0746324 + 2.98058i) q^{6} +(-2.11497 + 3.66323i) q^{7} +(1.44394 + 1.04909i) q^{8} +(-2.67613 + 1.35584i) q^{9} +O(q^{10})\) \(q+(-1.68376 - 0.357895i) q^{2} +(-0.402409 - 1.68466i) q^{3} +(0.879882 + 0.391749i) q^{4} +(1.96791 + 1.06176i) q^{5} +(0.0746324 + 2.98058i) q^{6} +(-2.11497 + 3.66323i) q^{7} +(1.44394 + 1.04909i) q^{8} +(-2.67613 + 1.35584i) q^{9} +(-2.93350 - 2.49206i) q^{10} +(5.35421 + 1.13807i) q^{11} +(0.305889 - 1.63994i) q^{12} +(-2.27272 + 0.483081i) q^{13} +(4.87216 - 5.41109i) q^{14} +(0.996792 - 3.74251i) q^{15} +(-3.34474 - 3.71472i) q^{16} +(-1.13466 - 0.824379i) q^{17} +(4.99123 - 1.32515i) q^{18} +(4.74872 + 3.45015i) q^{19} +(1.31559 + 1.70515i) q^{20} +(7.02237 + 2.08888i) q^{21} +(-8.60791 - 3.83249i) q^{22} +(2.33826 - 2.59691i) q^{23} +(1.18629 - 2.85471i) q^{24} +(2.74534 + 4.17889i) q^{25} +3.99961 q^{26} +(3.36103 + 3.96276i) q^{27} +(-3.29599 + 2.39468i) q^{28} +(0.451070 + 4.29164i) q^{29} +(-3.01779 + 5.94476i) q^{30} +(0.330923 - 3.14852i) q^{31} +(2.51747 + 4.36039i) q^{32} +(-0.237324 - 9.47797i) q^{33} +(1.61546 + 1.79415i) q^{34} +(-8.05154 + 4.96333i) q^{35} +(-2.88583 + 0.144610i) q^{36} +(0.930443 - 2.86361i) q^{37} +(-6.76093 - 7.50877i) q^{38} +(1.72839 + 3.63435i) q^{39} +(1.72767 + 3.59763i) q^{40} +(-4.52265 + 0.961319i) q^{41} +(-11.0764 - 6.03045i) q^{42} +(-2.17619 + 3.76927i) q^{43} +(4.26523 + 3.09887i) q^{44} +(-6.70597 - 0.173229i) q^{45} +(-4.86650 + 3.53572i) q^{46} +(0.300021 + 2.85451i) q^{47} +(-4.91206 + 7.12958i) q^{48} +(-5.44619 - 9.43308i) q^{49} +(-3.12690 - 8.01881i) q^{50} +(-0.932197 + 2.24325i) q^{51} +(-2.18897 - 0.465280i) q^{52} +(4.61926 - 3.35609i) q^{53} +(-4.24093 - 7.87525i) q^{54} +(9.32824 + 7.92450i) q^{55} +(-6.89694 + 3.07072i) q^{56} +(3.90138 - 9.38833i) q^{57} +(0.776463 - 7.38755i) q^{58} +(11.3426 - 2.41094i) q^{59} +(2.34318 - 2.90248i) q^{60} +(-10.6036 - 2.25387i) q^{61} +(-1.68404 + 5.18293i) q^{62} +(0.693168 - 12.6709i) q^{63} +(0.411065 + 1.26513i) q^{64} +(-4.98542 - 1.46242i) q^{65} +(-2.99252 + 16.0436i) q^{66} +(-1.17916 + 11.2190i) q^{67} +(-0.675418 - 1.16986i) q^{68} +(-5.31583 - 2.89415i) q^{69} +(15.3332 - 5.47547i) q^{70} +(-5.34318 + 3.88205i) q^{71} +(-5.28658 - 0.849733i) q^{72} +(1.20170 + 3.69845i) q^{73} +(-2.59152 + 4.48864i) q^{74} +(5.93524 - 6.30658i) q^{75} +(2.82672 + 4.89603i) q^{76} +(-15.4930 + 17.2067i) q^{77} +(-1.60948 - 6.73797i) q^{78} +(0.299995 + 2.85427i) q^{79} +(-2.63803 - 10.8615i) q^{80} +(5.32338 - 7.25683i) q^{81} +7.95913 q^{82} +(6.23662 - 2.77672i) q^{83} +(5.36055 + 4.58897i) q^{84} +(-1.35762 - 2.82704i) q^{85} +(5.01319 - 5.56772i) q^{86} +(7.04843 - 2.48690i) q^{87} +(6.53724 + 7.26034i) q^{88} +(-1.41471 - 4.35403i) q^{89} +(11.2293 + 2.69171i) q^{90} +(3.03709 - 9.34720i) q^{91} +(3.07473 - 1.36896i) q^{92} +(-5.43734 + 0.709504i) q^{93} +(0.516451 - 4.91370i) q^{94} +(5.68183 + 11.8316i) q^{95} +(6.33270 - 5.99573i) q^{96} +(-1.44531 - 13.7512i) q^{97} +(5.79405 + 17.8322i) q^{98} +(-15.8716 + 4.21384i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.68376 0.357895i −1.19060 0.253070i −0.430327 0.902673i \(-0.641602\pi\)
−0.760274 + 0.649603i \(0.774935\pi\)
\(3\) −0.402409 1.68466i −0.232331 0.972637i
\(4\) 0.879882 + 0.391749i 0.439941 + 0.195874i
\(5\) 1.96791 + 1.06176i 0.880076 + 0.474833i
\(6\) 0.0746324 + 2.98058i 0.0304686 + 1.21682i
\(7\) −2.11497 + 3.66323i −0.799383 + 1.38457i 0.120635 + 0.992697i \(0.461507\pi\)
−0.920018 + 0.391876i \(0.871826\pi\)
\(8\) 1.44394 + 1.04909i 0.510511 + 0.370908i
\(9\) −2.67613 + 1.35584i −0.892044 + 0.451948i
\(10\) −2.93350 2.49206i −0.927654 0.788057i
\(11\) 5.35421 + 1.13807i 1.61435 + 0.343142i 0.924611 0.380912i \(-0.124390\pi\)
0.689743 + 0.724054i \(0.257723\pi\)
\(12\) 0.305889 1.63994i 0.0883026 0.473411i
\(13\) −2.27272 + 0.483081i −0.630338 + 0.133983i −0.511992 0.858990i \(-0.671092\pi\)
−0.118346 + 0.992972i \(0.537759\pi\)
\(14\) 4.87216 5.41109i 1.30214 1.44617i
\(15\) 0.996792 3.74251i 0.257371 0.966313i
\(16\) −3.34474 3.71472i −0.836186 0.928679i
\(17\) −1.13466 0.824379i −0.275195 0.199941i 0.441624 0.897200i \(-0.354403\pi\)
−0.716819 + 0.697259i \(0.754403\pi\)
\(18\) 4.99123 1.32515i 1.17644 0.312340i
\(19\) 4.74872 + 3.45015i 1.08943 + 0.791518i 0.979303 0.202400i \(-0.0648740\pi\)
0.110128 + 0.993917i \(0.464874\pi\)
\(20\) 1.31559 + 1.70515i 0.294174 + 0.381283i
\(21\) 7.02237 + 2.08888i 1.53241 + 0.455830i
\(22\) −8.60791 3.83249i −1.83521 0.817090i
\(23\) 2.33826 2.59691i 0.487562 0.541492i −0.448289 0.893889i \(-0.647966\pi\)
0.935851 + 0.352396i \(0.114633\pi\)
\(24\) 1.18629 2.85471i 0.242151 0.582715i
\(25\) 2.74534 + 4.17889i 0.549068 + 0.835778i
\(26\) 3.99961 0.784388
\(27\) 3.36103 + 3.96276i 0.646831 + 0.762634i
\(28\) −3.29599 + 2.39468i −0.622884 + 0.452552i
\(29\) 0.451070 + 4.29164i 0.0837616 + 0.796938i 0.953087 + 0.302698i \(0.0978872\pi\)
−0.869325 + 0.494241i \(0.835446\pi\)
\(30\) −3.01779 + 5.94476i −0.550971 + 1.08536i
\(31\) 0.330923 3.14852i 0.0594355 0.565491i −0.923765 0.382961i \(-0.874904\pi\)
0.983200 0.182531i \(-0.0584289\pi\)
\(32\) 2.51747 + 4.36039i 0.445030 + 0.770815i
\(33\) −0.237324 9.47797i −0.0413128 1.64990i
\(34\) 1.61546 + 1.79415i 0.277049 + 0.307694i
\(35\) −8.05154 + 4.96333i −1.36096 + 0.838956i
\(36\) −2.88583 + 0.144610i −0.480972 + 0.0241017i
\(37\) 0.930443 2.86361i 0.152964 0.470775i −0.844985 0.534790i \(-0.820391\pi\)
0.997949 + 0.0640154i \(0.0203907\pi\)
\(38\) −6.76093 7.50877i −1.09677 1.21808i
\(39\) 1.72839 + 3.63435i 0.276764 + 0.581962i
\(40\) 1.72767 + 3.59763i 0.273169 + 0.568835i
\(41\) −4.52265 + 0.961319i −0.706319 + 0.150133i −0.547047 0.837102i \(-0.684248\pi\)
−0.159272 + 0.987235i \(0.550915\pi\)
\(42\) −11.0764 6.03045i −1.70913 0.930518i
\(43\) −2.17619 + 3.76927i −0.331866 + 0.574809i −0.982878 0.184259i \(-0.941011\pi\)
0.651012 + 0.759068i \(0.274345\pi\)
\(44\) 4.26523 + 3.09887i 0.643008 + 0.467173i
\(45\) −6.70597 0.173229i −0.999667 0.0258235i
\(46\) −4.86650 + 3.53572i −0.717527 + 0.521314i
\(47\) 0.300021 + 2.85451i 0.0437626 + 0.416374i 0.994369 + 0.105974i \(0.0337961\pi\)
−0.950606 + 0.310399i \(0.899537\pi\)
\(48\) −4.91206 + 7.12958i −0.708995 + 1.02907i
\(49\) −5.44619 9.43308i −0.778027 1.34758i
\(50\) −3.12690 8.01881i −0.442210 1.13403i
\(51\) −0.932197 + 2.24325i −0.130534 + 0.314118i
\(52\) −2.18897 0.465280i −0.303555 0.0645227i
\(53\) 4.61926 3.35609i 0.634504 0.460994i −0.223454 0.974715i \(-0.571733\pi\)
0.857958 + 0.513720i \(0.171733\pi\)
\(54\) −4.24093 7.87525i −0.577118 1.07169i
\(55\) 9.32824 + 7.92450i 1.25782 + 1.06854i
\(56\) −6.89694 + 3.07072i −0.921643 + 0.410342i
\(57\) 3.90138 9.38833i 0.516750 1.24351i
\(58\) 0.776463 7.38755i 0.101955 0.970033i
\(59\) 11.3426 2.41094i 1.47668 0.313877i 0.601966 0.798522i \(-0.294384\pi\)
0.874711 + 0.484645i \(0.161051\pi\)
\(60\) 2.34318 2.90248i 0.302504 0.374708i
\(61\) −10.6036 2.25387i −1.35766 0.288579i −0.529136 0.848537i \(-0.677484\pi\)
−0.828521 + 0.559958i \(0.810817\pi\)
\(62\) −1.68404 + 5.18293i −0.213873 + 0.658233i
\(63\) 0.693168 12.6709i 0.0873309 1.59638i
\(64\) 0.411065 + 1.26513i 0.0513831 + 0.158141i
\(65\) −4.98542 1.46242i −0.618365 0.181390i
\(66\) −2.99252 + 16.0436i −0.368354 + 1.97483i
\(67\) −1.17916 + 11.2190i −0.144058 + 1.37062i 0.648683 + 0.761059i \(0.275320\pi\)
−0.792741 + 0.609559i \(0.791347\pi\)
\(68\) −0.675418 1.16986i −0.0819064 0.141866i
\(69\) −5.31583 2.89415i −0.639951 0.348415i
\(70\) 15.3332 5.47547i 1.83267 0.654444i
\(71\) −5.34318 + 3.88205i −0.634119 + 0.460714i −0.857825 0.513942i \(-0.828184\pi\)
0.223706 + 0.974657i \(0.428184\pi\)
\(72\) −5.28658 0.849733i −0.623030 0.100142i
\(73\) 1.20170 + 3.69845i 0.140648 + 0.432871i 0.996426 0.0844731i \(-0.0269207\pi\)
−0.855777 + 0.517344i \(0.826921\pi\)
\(74\) −2.59152 + 4.48864i −0.301258 + 0.521794i
\(75\) 5.93524 6.30658i 0.685343 0.728221i
\(76\) 2.82672 + 4.89603i 0.324247 + 0.561613i
\(77\) −15.4930 + 17.2067i −1.76559 + 1.96089i
\(78\) −1.60948 6.73797i −0.182238 0.762925i
\(79\) 0.299995 + 2.85427i 0.0337521 + 0.321130i 0.998351 + 0.0574078i \(0.0182835\pi\)
−0.964599 + 0.263722i \(0.915050\pi\)
\(80\) −2.63803 10.8615i −0.294940 1.21436i
\(81\) 5.32338 7.25683i 0.591486 0.806315i
\(82\) 7.95913 0.878938
\(83\) 6.23662 2.77672i 0.684558 0.304785i −0.0348298 0.999393i \(-0.511089\pi\)
0.719388 + 0.694608i \(0.244422\pi\)
\(84\) 5.36055 + 4.58897i 0.584884 + 0.500698i
\(85\) −1.35762 2.82704i −0.147254 0.306635i
\(86\) 5.01319 5.56772i 0.540587 0.600382i
\(87\) 7.04843 2.48690i 0.755671 0.266623i
\(88\) 6.53724 + 7.26034i 0.696872 + 0.773955i
\(89\) −1.41471 4.35403i −0.149959 0.461526i 0.847656 0.530545i \(-0.178013\pi\)
−0.997615 + 0.0690197i \(0.978013\pi\)
\(90\) 11.2293 + 2.69171i 1.18367 + 0.283731i
\(91\) 3.03709 9.34720i 0.318373 0.979852i
\(92\) 3.07473 1.36896i 0.320563 0.142724i
\(93\) −5.43734 + 0.709504i −0.563826 + 0.0735721i
\(94\) 0.516451 4.91370i 0.0532679 0.506810i
\(95\) 5.68183 + 11.8316i 0.582943 + 1.21389i
\(96\) 6.33270 5.99573i 0.646328 0.611937i
\(97\) −1.44531 13.7512i −0.146749 1.39623i −0.781691 0.623666i \(-0.785643\pi\)
0.634942 0.772560i \(-0.281024\pi\)
\(98\) 5.79405 + 17.8322i 0.585287 + 1.80133i
\(99\) −15.8716 + 4.21384i −1.59516 + 0.423506i
\(100\) 0.778500 + 4.75241i 0.0778500 + 0.475241i
\(101\) −4.29330 + 7.43621i −0.427199 + 0.739930i −0.996623 0.0821135i \(-0.973833\pi\)
0.569424 + 0.822044i \(0.307166\pi\)
\(102\) 2.37245 3.44348i 0.234907 0.340955i
\(103\) 0.0160907 + 0.00716406i 0.00158547 + 0.000705896i 0.407529 0.913192i \(-0.366390\pi\)
−0.405944 + 0.913898i \(0.633057\pi\)
\(104\) −3.78847 1.68673i −0.371490 0.165398i
\(105\) 11.6015 + 11.5668i 1.13219 + 1.12880i
\(106\) −8.97887 + 3.99765i −0.872105 + 0.388286i
\(107\) 3.33334 0.322246 0.161123 0.986934i \(-0.448488\pi\)
0.161123 + 0.986934i \(0.448488\pi\)
\(108\) 1.40490 + 4.80344i 0.135187 + 0.462211i
\(109\) 0.885216 2.72442i 0.0847883 0.260952i −0.899670 0.436571i \(-0.856193\pi\)
0.984458 + 0.175619i \(0.0561928\pi\)
\(110\) −12.8704 16.6815i −1.22715 1.59052i
\(111\) −5.19862 0.415133i −0.493431 0.0394027i
\(112\) 20.6819 4.39607i 1.95426 0.415390i
\(113\) 7.87550 1.67399i 0.740864 0.157476i 0.178007 0.984029i \(-0.443035\pi\)
0.562858 + 0.826554i \(0.309702\pi\)
\(114\) −9.92904 + 14.4114i −0.929940 + 1.34976i
\(115\) 7.35878 2.62780i 0.686210 0.245044i
\(116\) −1.28436 + 3.95285i −0.119250 + 0.367013i
\(117\) 5.42711 4.37424i 0.501737 0.404398i
\(118\) −19.9611 −1.83757
\(119\) 5.41966 2.41299i 0.496820 0.221198i
\(120\) 5.36553 4.35826i 0.489804 0.397852i
\(121\) 17.3233 + 7.71285i 1.57485 + 0.701168i
\(122\) 17.0474 + 7.58998i 1.54340 + 0.687165i
\(123\) 3.43945 + 7.23227i 0.310125 + 0.652111i
\(124\) 1.52460 2.64069i 0.136913 0.237141i
\(125\) 0.965608 + 11.1386i 0.0863666 + 0.996263i
\(126\) −5.70197 + 21.0867i −0.507972 + 1.87855i
\(127\) −1.46943 4.52243i −0.130391 0.401301i 0.864454 0.502712i \(-0.167664\pi\)
−0.994845 + 0.101411i \(0.967664\pi\)
\(128\) −1.29194 12.2920i −0.114193 1.08647i
\(129\) 7.22565 + 2.14934i 0.636183 + 0.189239i
\(130\) 7.87087 + 4.24662i 0.690321 + 0.372453i
\(131\) 1.92495 18.3147i 0.168184 1.60016i −0.506623 0.862168i \(-0.669106\pi\)
0.674807 0.737995i \(-0.264227\pi\)
\(132\) 3.50417 8.43247i 0.304999 0.733952i
\(133\) −22.6821 + 10.0987i −1.96679 + 0.875670i
\(134\) 6.00065 18.4681i 0.518377 1.59540i
\(135\) 2.40671 + 11.3670i 0.207137 + 0.978312i
\(136\) −0.773540 2.38071i −0.0663305 0.204144i
\(137\) −11.0852 12.3114i −0.947074 1.05183i −0.998586 0.0531595i \(-0.983071\pi\)
0.0515124 0.998672i \(-0.483596\pi\)
\(138\) 7.91481 + 6.77558i 0.673753 + 0.576776i
\(139\) −7.23633 + 8.03676i −0.613778 + 0.681669i −0.967265 0.253770i \(-0.918329\pi\)
0.353487 + 0.935440i \(0.384996\pi\)
\(140\) −9.02878 + 1.21296i −0.763071 + 0.102514i
\(141\) 4.68814 1.65412i 0.394813 0.139302i
\(142\) 10.3860 4.62415i 0.871575 0.388050i
\(143\) −12.7184 −1.06356
\(144\) 13.9876 + 5.40612i 1.16563 + 0.450510i
\(145\) −3.66902 + 8.92450i −0.304696 + 0.741139i
\(146\) −0.699721 6.65740i −0.0579094 0.550971i
\(147\) −13.6999 + 12.9709i −1.12995 + 1.06982i
\(148\) 1.94050 2.15514i 0.159508 0.177151i
\(149\) −4.92744 8.53458i −0.403672 0.699180i 0.590494 0.807042i \(-0.298933\pi\)
−0.994166 + 0.107862i \(0.965600\pi\)
\(150\) −12.2506 + 8.49459i −1.00026 + 0.693581i
\(151\) 9.07209 15.7133i 0.738276 1.27873i −0.214994 0.976615i \(-0.568973\pi\)
0.953271 0.302117i \(-0.0976934\pi\)
\(152\) 3.23738 + 9.96363i 0.262586 + 0.808157i
\(153\) 4.15423 + 0.667726i 0.335850 + 0.0539825i
\(154\) 32.2448 23.4272i 2.59836 1.88782i
\(155\) 3.99420 5.84465i 0.320822 0.469453i
\(156\) 0.0970255 + 3.87489i 0.00776826 + 0.310240i
\(157\) −1.33107 2.30547i −0.106231 0.183997i 0.808010 0.589169i \(-0.200545\pi\)
−0.914240 + 0.405172i \(0.867212\pi\)
\(158\) 0.516406 4.91328i 0.0410831 0.390879i
\(159\) −7.51269 6.43134i −0.595795 0.510038i
\(160\) 0.324478 + 11.2538i 0.0256522 + 0.889691i
\(161\) 4.56772 + 14.0580i 0.359986 + 1.10792i
\(162\) −11.5605 + 10.3136i −0.908279 + 0.810312i
\(163\) 1.19215 3.66905i 0.0933761 0.287382i −0.893451 0.449161i \(-0.851723\pi\)
0.986827 + 0.161779i \(0.0517230\pi\)
\(164\) −4.35599 0.925895i −0.340146 0.0723003i
\(165\) 9.59628 18.9038i 0.747070 1.47166i
\(166\) −11.4948 + 2.44329i −0.892168 + 0.189636i
\(167\) 1.09890 10.4554i 0.0850358 0.809061i −0.866013 0.500021i \(-0.833326\pi\)
0.951049 0.309040i \(-0.100008\pi\)
\(168\) 7.94850 + 10.3833i 0.613240 + 0.801089i
\(169\) −6.94422 + 3.09176i −0.534170 + 0.237828i
\(170\) 1.27412 + 5.24595i 0.0977209 + 0.402346i
\(171\) −17.3861 2.79453i −1.32955 0.213703i
\(172\) −3.39140 + 2.46399i −0.258592 + 0.187878i
\(173\) −6.01334 1.27818i −0.457186 0.0971779i −0.0264386 0.999650i \(-0.508417\pi\)
−0.430747 + 0.902473i \(0.641750\pi\)
\(174\) −12.7579 + 1.66475i −0.967177 + 0.126204i
\(175\) −21.1146 + 1.21860i −1.59611 + 0.0921172i
\(176\) −13.6808 23.6959i −1.03123 1.78615i
\(177\) −8.62596 18.1381i −0.648367 1.36335i
\(178\) 0.823751 + 7.83747i 0.0617428 + 0.587443i
\(179\) 5.82725 4.23375i 0.435549 0.316445i −0.348315 0.937378i \(-0.613246\pi\)
0.783864 + 0.620933i \(0.213246\pi\)
\(180\) −5.83260 2.77948i −0.434736 0.207170i
\(181\) −18.3734 13.3490i −1.36568 0.992226i −0.998061 0.0622510i \(-0.980172\pi\)
−0.367622 0.929975i \(-0.619828\pi\)
\(182\) −8.45906 + 14.6515i −0.627027 + 1.08604i
\(183\) 0.470004 + 18.7705i 0.0347437 + 1.38755i
\(184\) 6.10070 1.29674i 0.449749 0.0955972i
\(185\) 4.87149 4.64742i 0.358159 0.341685i
\(186\) 9.40913 + 0.751362i 0.689911 + 0.0550925i
\(187\) −5.13700 5.70522i −0.375655 0.417207i
\(188\) −0.854269 + 2.62917i −0.0623039 + 0.191752i
\(189\) −21.6250 + 3.93113i −1.57299 + 0.285948i
\(190\) −5.33240 21.9551i −0.386853 1.59279i
\(191\) −7.18086 7.97515i −0.519589 0.577062i 0.425052 0.905169i \(-0.360256\pi\)
−0.944641 + 0.328107i \(0.893589\pi\)
\(192\) 1.96589 1.20160i 0.141876 0.0867182i
\(193\) 7.49531 + 12.9823i 0.539524 + 0.934483i 0.998930 + 0.0462566i \(0.0147292\pi\)
−0.459405 + 0.888227i \(0.651937\pi\)
\(194\) −2.48793 + 23.6711i −0.178623 + 1.69949i
\(195\) −0.457490 + 8.98720i −0.0327615 + 0.643587i
\(196\) −1.09661 10.4335i −0.0783292 0.745253i
\(197\) 6.42527 4.66823i 0.457782 0.332598i −0.334879 0.942261i \(-0.608695\pi\)
0.792660 + 0.609663i \(0.208695\pi\)
\(198\) 28.2322 1.41473i 2.00637 0.100540i
\(199\) −14.1116 −1.00034 −0.500172 0.865926i \(-0.666730\pi\)
−0.500172 + 0.865926i \(0.666730\pi\)
\(200\) −0.419902 + 8.91418i −0.0296916 + 0.630327i
\(201\) 19.3746 2.52814i 1.36658 0.178321i
\(202\) 9.89028 10.9843i 0.695878 0.772851i
\(203\) −16.6753 7.42432i −1.17038 0.521085i
\(204\) −1.69901 + 1.60861i −0.118955 + 0.112625i
\(205\) −9.92085 2.91017i −0.692903 0.203255i
\(206\) −0.0245290 0.0178214i −0.00170902 0.00124167i
\(207\) −2.73651 + 10.1200i −0.190201 + 0.703387i
\(208\) 9.39616 + 6.82671i 0.651507 + 0.473347i
\(209\) 21.4991 + 23.8772i 1.48712 + 1.65162i
\(210\) −15.3945 23.6279i −1.06232 1.63048i
\(211\) 4.89947 5.44141i 0.337293 0.374602i −0.550507 0.834830i \(-0.685566\pi\)
0.887801 + 0.460228i \(0.152232\pi\)
\(212\) 5.37915 1.14337i 0.369441 0.0785272i
\(213\) 8.69006 + 7.43925i 0.595433 + 0.509729i
\(214\) −5.61255 1.19299i −0.383666 0.0815508i
\(215\) −8.28460 + 5.10700i −0.565005 + 0.348294i
\(216\) 0.695861 + 9.24801i 0.0473474 + 0.629247i
\(217\) 10.8339 + 7.87128i 0.735452 + 0.534337i
\(218\) −2.46555 + 4.27046i −0.166988 + 0.289232i
\(219\) 5.74705 3.51274i 0.388349 0.237369i
\(220\) 5.10334 + 10.6270i 0.344067 + 0.716469i
\(221\) 2.97700 + 1.32545i 0.200255 + 0.0891592i
\(222\) 8.60467 + 2.55955i 0.577508 + 0.171786i
\(223\) 19.8964 + 4.22911i 1.33236 + 0.283202i 0.818419 0.574622i \(-0.194851\pi\)
0.513943 + 0.857825i \(0.328184\pi\)
\(224\) −21.2975 −1.42300
\(225\) −13.0128 7.46102i −0.867521 0.497401i
\(226\) −13.8596 −0.921926
\(227\) 21.2885 + 4.52501i 1.41297 + 0.300335i 0.850278 0.526333i \(-0.176434\pi\)
0.562689 + 0.826669i \(0.309767\pi\)
\(228\) 7.11062 6.73226i 0.470912 0.445855i
\(229\) −17.1567 7.63866i −1.13375 0.504777i −0.247915 0.968782i \(-0.579745\pi\)
−0.885833 + 0.464005i \(0.846412\pi\)
\(230\) −13.3309 + 1.79093i −0.879015 + 0.118091i
\(231\) 35.2220 + 19.1762i 2.31744 + 1.26170i
\(232\) −3.85098 + 6.67010i −0.252830 + 0.437914i
\(233\) −5.17867 3.76252i −0.339266 0.246491i 0.405086 0.914279i \(-0.367242\pi\)
−0.744352 + 0.667787i \(0.767242\pi\)
\(234\) −10.7035 + 5.42285i −0.699709 + 0.354503i
\(235\) −2.44039 + 5.93598i −0.159193 + 0.387220i
\(236\) 10.9246 + 2.32210i 0.711131 + 0.151156i
\(237\) 4.68773 1.65397i 0.304501 0.107437i
\(238\) −9.98903 + 2.12323i −0.647493 + 0.137629i
\(239\) −11.7685 + 13.0702i −0.761238 + 0.845440i −0.991824 0.127612i \(-0.959269\pi\)
0.230586 + 0.973052i \(0.425936\pi\)
\(240\) −17.2364 + 8.81495i −1.11260 + 0.569003i
\(241\) 5.08374 + 5.64606i 0.327472 + 0.363695i 0.884289 0.466941i \(-0.154644\pi\)
−0.556816 + 0.830636i \(0.687977\pi\)
\(242\) −26.4080 19.1866i −1.69757 1.23336i
\(243\) −14.3674 6.04784i −0.921672 0.387969i
\(244\) −8.44700 6.13711i −0.540764 0.392888i
\(245\) −0.701962 24.3460i −0.0448467 1.55541i
\(246\) −3.20283 13.4084i −0.204205 0.854888i
\(247\) −12.4592 5.54719i −0.792759 0.352959i
\(248\) 3.78091 4.19912i 0.240088 0.266644i
\(249\) −7.18750 9.38919i −0.455489 0.595016i
\(250\) 2.36058 19.1003i 0.149296 1.20801i
\(251\) 25.9812 1.63992 0.819959 0.572422i \(-0.193996\pi\)
0.819959 + 0.572422i \(0.193996\pi\)
\(252\) 5.57370 10.8773i 0.351110 0.685207i
\(253\) 15.4750 11.2433i 0.972906 0.706858i
\(254\) 0.855612 + 8.14061i 0.0536859 + 0.510787i
\(255\) −4.21627 + 3.42475i −0.264033 + 0.214466i
\(256\) −1.94583 + 18.5133i −0.121614 + 1.15708i
\(257\) 0.478674 + 0.829088i 0.0298589 + 0.0517171i 0.880569 0.473919i \(-0.157161\pi\)
−0.850710 + 0.525636i \(0.823828\pi\)
\(258\) −11.3970 6.20501i −0.709549 0.386307i
\(259\) 8.52222 + 9.46488i 0.529545 + 0.588119i
\(260\) −3.81368 3.23978i −0.236514 0.200923i
\(261\) −7.02592 10.8734i −0.434894 0.673048i
\(262\) −9.79591 + 30.1487i −0.605193 + 1.86259i
\(263\) −3.53512 3.92615i −0.217985 0.242097i 0.624227 0.781243i \(-0.285414\pi\)
−0.842213 + 0.539146i \(0.818747\pi\)
\(264\) 9.60053 13.9346i 0.590872 0.857617i
\(265\) 12.6536 1.69994i 0.777307 0.104427i
\(266\) 41.8056 8.88605i 2.56326 0.544838i
\(267\) −6.76574 + 4.13540i −0.414057 + 0.253082i
\(268\) −5.43255 + 9.40945i −0.331846 + 0.574774i
\(269\) 14.1657 + 10.2920i 0.863699 + 0.627514i 0.928889 0.370359i \(-0.120765\pi\)
−0.0651897 + 0.997873i \(0.520765\pi\)
\(270\) 0.0158415 20.0006i 0.000964082 1.21720i
\(271\) −10.8922 + 7.91361i −0.661651 + 0.480718i −0.867220 0.497925i \(-0.834096\pi\)
0.205569 + 0.978643i \(0.434096\pi\)
\(272\) 0.732816 + 6.97227i 0.0444335 + 0.422756i
\(273\) −16.9690 1.35505i −1.02701 0.0820113i
\(274\) 14.2587 + 24.6968i 0.861400 + 1.49199i
\(275\) 9.94324 + 25.4990i 0.599600 + 1.53765i
\(276\) −3.54353 4.62898i −0.213295 0.278632i
\(277\) 25.7950 + 5.48290i 1.54987 + 0.329436i 0.901804 0.432146i \(-0.142244\pi\)
0.648069 + 0.761582i \(0.275577\pi\)
\(278\) 15.0606 10.9422i 0.903274 0.656267i
\(279\) 3.38331 + 8.87454i 0.202553 + 0.531305i
\(280\) −16.8329 1.27999i −1.00596 0.0764942i
\(281\) 22.9358 10.2117i 1.36823 0.609176i 0.414559 0.910022i \(-0.363936\pi\)
0.953673 + 0.300846i \(0.0972690\pi\)
\(282\) −8.48573 + 1.10728i −0.505318 + 0.0659375i
\(283\) 1.50697 14.3378i 0.0895798 0.852295i −0.853805 0.520593i \(-0.825711\pi\)
0.943385 0.331701i \(-0.107623\pi\)
\(284\) −6.22215 + 1.32256i −0.369217 + 0.0784795i
\(285\) 17.6457 14.3331i 1.04524 0.849017i
\(286\) 21.4148 + 4.55185i 1.26628 + 0.269156i
\(287\) 6.04373 18.6007i 0.356750 1.09796i
\(288\) −12.6491 8.25568i −0.745355 0.486471i
\(289\) −4.64544 14.2972i −0.273261 0.841011i
\(290\) 9.37180 13.7136i 0.550331 0.805292i
\(291\) −22.5845 + 7.96848i −1.32393 + 0.467120i
\(292\) −0.391510 + 3.72497i −0.0229114 + 0.217987i
\(293\) 3.34662 + 5.79652i 0.195512 + 0.338636i 0.947068 0.321033i \(-0.104030\pi\)
−0.751556 + 0.659669i \(0.770697\pi\)
\(294\) 27.7096 16.9368i 1.61606 0.987777i
\(295\) 24.8810 + 7.29856i 1.44863 + 0.424939i
\(296\) 4.34768 3.15878i 0.252704 0.183600i
\(297\) 13.4858 + 25.0425i 0.782523 + 1.45312i
\(298\) 5.24217 + 16.1337i 0.303671 + 0.934602i
\(299\) −4.05970 + 7.03160i −0.234778 + 0.406648i
\(300\) 7.69291 3.22392i 0.444150 0.186133i
\(301\) −9.20515 15.9438i −0.530576 0.918985i
\(302\) −20.8990 + 23.2107i −1.20260 + 1.33562i
\(303\) 14.2551 + 4.24033i 0.818935 + 0.243601i
\(304\) −3.06694 29.1800i −0.175901 1.67359i
\(305\) −18.4739 15.6939i −1.05781 0.898631i
\(306\) −6.75577 2.61107i −0.386202 0.149265i
\(307\) 3.26128 0.186131 0.0930657 0.995660i \(-0.470333\pi\)
0.0930657 + 0.995660i \(0.470333\pi\)
\(308\) −20.3727 + 9.07053i −1.16084 + 0.516841i
\(309\) 0.00559391 0.0299903i 0.000318226 0.00170609i
\(310\) −8.81706 + 8.41151i −0.500775 + 0.477741i
\(311\) −21.5663 + 23.9518i −1.22291 + 1.35818i −0.309629 + 0.950858i \(0.600205\pi\)
−0.913284 + 0.407324i \(0.866462\pi\)
\(312\) −1.31705 + 7.06102i −0.0745634 + 0.399752i
\(313\) −13.7340 15.2532i −0.776292 0.862159i 0.217193 0.976129i \(-0.430310\pi\)
−0.993484 + 0.113969i \(0.963643\pi\)
\(314\) 1.41608 + 4.35826i 0.0799142 + 0.245951i
\(315\) 14.8175 24.1992i 0.834871 1.36347i
\(316\) −0.854194 + 2.62894i −0.0480522 + 0.147889i
\(317\) −3.65413 + 1.62692i −0.205236 + 0.0913771i −0.506781 0.862075i \(-0.669165\pi\)
0.301544 + 0.953452i \(0.402498\pi\)
\(318\) 10.3478 + 13.5176i 0.580279 + 0.758030i
\(319\) −2.46908 + 23.4917i −0.138242 + 1.31528i
\(320\) −0.534321 + 2.92611i −0.0298695 + 0.163575i
\(321\) −1.34137 5.61553i −0.0748678 0.313428i
\(322\) −2.65967 25.3051i −0.148218 1.41020i
\(323\) −2.54395 7.82948i −0.141549 0.435644i
\(324\) 7.52680 4.29973i 0.418156 0.238874i
\(325\) −8.25812 8.17121i −0.458078 0.453257i
\(326\) −3.32043 + 5.75115i −0.183902 + 0.318527i
\(327\) −4.94592 0.394954i −0.273510 0.0218410i
\(328\) −7.53895 3.35656i −0.416269 0.185335i
\(329\) −11.0913 4.93816i −0.611483 0.272250i
\(330\) −22.9234 + 28.3950i −1.26189 + 1.56310i
\(331\) 1.34664 0.599564i 0.0740181 0.0329550i −0.369394 0.929273i \(-0.620435\pi\)
0.443412 + 0.896318i \(0.353768\pi\)
\(332\) 6.57527 0.360865
\(333\) 1.39262 + 8.92494i 0.0763149 + 0.489084i
\(334\) −5.59222 + 17.2111i −0.305993 + 0.941749i
\(335\) −14.2323 + 20.8260i −0.777596 + 1.13784i
\(336\) −15.7285 33.0729i −0.858058 1.80427i
\(337\) 9.11619 1.93771i 0.496590 0.105554i 0.0471935 0.998886i \(-0.484972\pi\)
0.449397 + 0.893332i \(0.351639\pi\)
\(338\) 12.7990 2.72050i 0.696171 0.147976i
\(339\) −5.98927 12.5939i −0.325292 0.684005i
\(340\) −0.0870549 3.01930i −0.00472122 0.163745i
\(341\) 5.35508 16.4812i 0.289994 0.892509i
\(342\) 28.2739 + 10.9277i 1.52888 + 0.590903i
\(343\) 16.4645 0.889001
\(344\) −7.09658 + 3.15960i −0.382622 + 0.170354i
\(345\) −7.38819 11.3396i −0.397767 0.610501i
\(346\) 9.66760 + 4.30429i 0.519733 + 0.231400i
\(347\) −6.09966 2.71574i −0.327447 0.145789i 0.236428 0.971649i \(-0.424023\pi\)
−0.563875 + 0.825860i \(0.690690\pi\)
\(348\) 7.17603 + 0.573038i 0.384675 + 0.0307181i
\(349\) 2.17204 3.76209i 0.116267 0.201380i −0.802019 0.597299i \(-0.796241\pi\)
0.918285 + 0.395919i \(0.129574\pi\)
\(350\) 35.9881 + 5.50497i 1.92364 + 0.294253i
\(351\) −9.55301 7.38258i −0.509902 0.394053i
\(352\) 8.51663 + 26.2115i 0.453938 + 1.39708i
\(353\) 0.483612 + 4.60126i 0.0257401 + 0.244900i 0.999825 + 0.0187171i \(0.00595818\pi\)
−0.974085 + 0.226183i \(0.927375\pi\)
\(354\) 8.03253 + 33.6276i 0.426924 + 1.78728i
\(355\) −14.6367 + 1.96635i −0.776835 + 0.104363i
\(356\) 0.460907 4.38524i 0.0244280 0.232417i
\(357\) −6.24598 8.15926i −0.330572 0.431834i
\(358\) −11.3270 + 5.04309i −0.598648 + 0.266535i
\(359\) −2.78646 + 8.57585i −0.147064 + 0.452616i −0.997271 0.0738329i \(-0.976477\pi\)
0.850207 + 0.526449i \(0.176477\pi\)
\(360\) −9.50130 7.28527i −0.500763 0.383967i
\(361\) 4.77550 + 14.6975i 0.251342 + 0.773551i
\(362\) 26.1589 + 29.0524i 1.37488 + 1.52696i
\(363\) 6.02242 32.2876i 0.316095 1.69466i
\(364\) 6.33403 7.03465i 0.331993 0.368716i
\(365\) −1.56203 + 8.55414i −0.0817601 + 0.447744i
\(366\) 5.92648 31.7733i 0.309782 1.66081i
\(367\) −8.45692 + 3.76527i −0.441448 + 0.196545i −0.615410 0.788207i \(-0.711010\pi\)
0.173962 + 0.984752i \(0.444343\pi\)
\(368\) −17.4677 −0.910565
\(369\) 10.7998 8.70462i 0.562216 0.453144i
\(370\) −9.86573 + 6.08168i −0.512895 + 0.316171i
\(371\) 2.52455 + 24.0194i 0.131068 + 1.24703i
\(372\) −5.06217 1.50579i −0.262461 0.0780717i
\(373\) −3.62568 + 4.02673i −0.187731 + 0.208496i −0.829662 0.558266i \(-0.811467\pi\)
0.641931 + 0.766762i \(0.278133\pi\)
\(374\) 6.60763 + 11.4448i 0.341673 + 0.591794i
\(375\) 18.3761 6.10898i 0.948937 0.315466i
\(376\) −2.56142 + 4.43650i −0.132095 + 0.228795i
\(377\) −3.09837 9.53579i −0.159574 0.491118i
\(378\) 37.8183 + 1.12039i 1.94516 + 0.0576265i
\(379\) 7.21488 5.24191i 0.370603 0.269259i −0.386858 0.922139i \(-0.626440\pi\)
0.757461 + 0.652880i \(0.226440\pi\)
\(380\) 0.364338 + 12.6362i 0.0186901 + 0.648225i
\(381\) −7.02743 + 4.29535i −0.360026 + 0.220057i
\(382\) 9.23661 + 15.9983i 0.472586 + 0.818543i
\(383\) 1.92865 18.3499i 0.0985493 0.937634i −0.827814 0.561003i \(-0.810416\pi\)
0.926363 0.376631i \(-0.122918\pi\)
\(384\) −20.1879 + 7.12290i −1.03021 + 0.363489i
\(385\) −48.7582 + 17.4115i −2.48495 + 0.887370i
\(386\) −7.97405 24.5416i −0.405868 1.24913i
\(387\) 0.713232 13.0376i 0.0362556 0.662741i
\(388\) 4.11532 12.6657i 0.208924 0.643001i
\(389\) 12.3953 + 2.63469i 0.628465 + 0.133584i 0.511123 0.859507i \(-0.329230\pi\)
0.117341 + 0.993092i \(0.462563\pi\)
\(390\) 3.98678 14.9686i 0.201879 0.757964i
\(391\) −4.79397 + 1.01899i −0.242441 + 0.0515325i
\(392\) 2.03212 19.3344i 0.102638 0.976532i
\(393\) −31.6286 + 4.12712i −1.59545 + 0.208186i
\(394\) −12.4894 + 5.56063i −0.629206 + 0.280140i
\(395\) −2.44018 + 5.93546i −0.122779 + 0.298645i
\(396\) −15.6159 2.51001i −0.784730 0.126133i
\(397\) 5.05655 3.67380i 0.253781 0.184383i −0.453620 0.891195i \(-0.649868\pi\)
0.707401 + 0.706813i \(0.249868\pi\)
\(398\) 23.7606 + 5.05047i 1.19101 + 0.253157i
\(399\) 26.1403 + 34.1477i 1.30865 + 1.70952i
\(400\) 6.34093 24.1755i 0.317046 1.20877i
\(401\) 13.3637 + 23.1466i 0.667352 + 1.15589i 0.978642 + 0.205572i \(0.0659056\pi\)
−0.311290 + 0.950315i \(0.600761\pi\)
\(402\) −33.5271 2.67729i −1.67218 0.133531i
\(403\) 0.768897 + 7.31556i 0.0383015 + 0.364414i
\(404\) −6.69072 + 4.86109i −0.332876 + 0.241848i
\(405\) 18.1809 8.62866i 0.903418 0.428761i
\(406\) 25.4201 + 18.4688i 1.26158 + 0.916592i
\(407\) 8.24078 14.2735i 0.408480 0.707509i
\(408\) −3.69940 + 2.26117i −0.183148 + 0.111945i
\(409\) −23.4005 + 4.97392i −1.15708 + 0.245945i −0.746185 0.665739i \(-0.768117\pi\)
−0.410893 + 0.911683i \(0.634783\pi\)
\(410\) 15.6628 + 8.45067i 0.773533 + 0.417349i
\(411\) −16.2796 + 23.6290i −0.803016 + 1.16553i
\(412\) 0.0113514 + 0.0126071i 0.000559246 + 0.000621105i
\(413\) −15.1574 + 46.6496i −0.745845 + 2.29547i
\(414\) 8.22953 16.0603i 0.404459 0.789320i
\(415\) 15.2213 + 1.15744i 0.747185 + 0.0568167i
\(416\) −7.82792 8.69378i −0.383795 0.426248i
\(417\) 16.4511 + 8.95666i 0.805616 + 0.438610i
\(418\) −27.6539 47.8980i −1.35260 2.34277i
\(419\) 1.31148 12.4779i 0.0640699 0.609584i −0.914631 0.404291i \(-0.867518\pi\)
0.978700 0.205294i \(-0.0658150\pi\)
\(420\) 5.67670 + 14.7223i 0.276994 + 0.718374i
\(421\) 0.123363 + 1.17372i 0.00601232 + 0.0572034i 0.997117 0.0758835i \(-0.0241777\pi\)
−0.991104 + 0.133087i \(0.957511\pi\)
\(422\) −10.1970 + 7.40856i −0.496382 + 0.360643i
\(423\) −4.67317 7.23228i −0.227217 0.351645i
\(424\) 10.1908 0.494908
\(425\) 0.329962 7.00482i 0.0160055 0.339784i
\(426\) −11.9695 15.6361i −0.579926 0.757570i
\(427\) 30.6828 34.0767i 1.48485 1.64909i
\(428\) 2.93294 + 1.30583i 0.141769 + 0.0631197i
\(429\) 5.11800 + 21.4261i 0.247099 + 1.03446i
\(430\) 15.7771 5.63396i 0.760839 0.271694i
\(431\) −20.3282 14.7693i −0.979174 0.711412i −0.0216502 0.999766i \(-0.506892\pi\)
−0.957524 + 0.288354i \(0.906892\pi\)
\(432\) 3.47873 25.7397i 0.167371 1.23840i
\(433\) 16.1875 + 11.7609i 0.777922 + 0.565193i 0.904355 0.426782i \(-0.140353\pi\)
−0.126433 + 0.991975i \(0.540353\pi\)
\(434\) −15.4246 17.1308i −0.740405 0.822303i
\(435\) 16.5112 + 2.58974i 0.791649 + 0.124169i
\(436\) 1.84617 2.05038i 0.0884156 0.0981955i
\(437\) 20.0635 4.26462i 0.959765 0.204004i
\(438\) −10.9339 + 3.85779i −0.522440 + 0.184332i
\(439\) 22.1767 + 4.71380i 1.05844 + 0.224977i 0.704071 0.710130i \(-0.251364\pi\)
0.354365 + 0.935107i \(0.384697\pi\)
\(440\) 5.15597 + 21.2287i 0.245801 + 1.01204i
\(441\) 27.3645 + 17.8600i 1.30307 + 0.850476i
\(442\) −4.53820 3.29719i −0.215860 0.156832i
\(443\) 2.48298 4.30064i 0.117970 0.204330i −0.800993 0.598673i \(-0.795695\pi\)
0.918963 + 0.394344i \(0.129028\pi\)
\(444\) −4.41154 2.40182i −0.209363 0.113985i
\(445\) 1.83890 10.0704i 0.0871724 0.477383i
\(446\) −31.9873 14.2416i −1.51464 0.674362i
\(447\) −12.3950 + 11.7354i −0.586263 + 0.555067i
\(448\) −5.50385 1.16988i −0.260032 0.0552716i
\(449\) 17.7685 0.838548 0.419274 0.907860i \(-0.362285\pi\)
0.419274 + 0.907860i \(0.362285\pi\)
\(450\) 19.2402 + 17.2198i 0.906994 + 0.811750i
\(451\) −25.3093 −1.19177
\(452\) 7.58529 + 1.61230i 0.356782 + 0.0758364i
\(453\) −30.1222 8.96017i −1.41527 0.420985i
\(454\) −34.2253 15.2381i −1.60627 0.715159i
\(455\) 15.9012 15.1698i 0.745459 0.711170i
\(456\) 15.4825 9.46333i 0.725036 0.443161i
\(457\) −10.0171 + 17.3501i −0.468579 + 0.811602i −0.999355 0.0359099i \(-0.988567\pi\)
0.530776 + 0.847512i \(0.321900\pi\)
\(458\) 26.1540 + 19.0020i 1.22210 + 0.887906i
\(459\) −0.546812 7.26715i −0.0255230 0.339201i
\(460\) 7.50430 + 0.570634i 0.349890 + 0.0266060i
\(461\) 12.3278 + 2.62035i 0.574161 + 0.122042i 0.485836 0.874050i \(-0.338515\pi\)
0.0883252 + 0.996092i \(0.471849\pi\)
\(462\) −52.4424 44.8940i −2.43984 2.08866i
\(463\) 24.3569 5.17722i 1.13196 0.240606i 0.396409 0.918074i \(-0.370256\pi\)
0.735552 + 0.677469i \(0.236923\pi\)
\(464\) 14.4335 16.0300i 0.670059 0.744176i
\(465\) −11.4535 4.37691i −0.531145 0.202974i
\(466\) 7.37307 + 8.18862i 0.341551 + 0.379331i
\(467\) −29.6418 21.5361i −1.37166 0.996570i −0.997605 0.0691640i \(-0.977967\pi\)
−0.374056 0.927406i \(-0.622033\pi\)
\(468\) 6.48882 1.72275i 0.299946 0.0796341i
\(469\) −38.6039 28.0474i −1.78256 1.29511i
\(470\) 6.23350 9.12138i 0.287530 0.420738i
\(471\) −3.34830 + 3.17013i −0.154281 + 0.146072i
\(472\) 18.9073 + 8.41808i 0.870279 + 0.387473i
\(473\) −15.9415 + 17.7048i −0.732990 + 0.814068i
\(474\) −8.48499 + 1.10718i −0.389728 + 0.0508546i
\(475\) −1.38094 + 29.3162i −0.0633618 + 1.34512i
\(476\) 5.71395 0.261899
\(477\) −7.81142 + 15.2443i −0.357660 + 0.697990i
\(478\) 24.4931 17.7952i 1.12029 0.813936i
\(479\) −0.763778 7.26686i −0.0348979 0.332031i −0.998016 0.0629539i \(-0.979948\pi\)
0.963119 0.269078i \(-0.0867188\pi\)
\(480\) 18.8282 5.07527i 0.859386 0.231653i
\(481\) −0.731279 + 6.95766i −0.0333435 + 0.317242i
\(482\) −6.53911 11.3261i −0.297849 0.515889i
\(483\) 21.8448 13.3521i 0.993972 0.607541i
\(484\) 12.2210 + 13.5728i 0.555500 + 0.616945i
\(485\) 11.7562 28.5957i 0.533823 1.29847i
\(486\) 22.0269 + 15.3252i 0.999161 + 0.695164i
\(487\) −7.65681 + 23.5652i −0.346963 + 1.06784i 0.613561 + 0.789647i \(0.289736\pi\)
−0.960524 + 0.278195i \(0.910264\pi\)
\(488\) −12.9465 14.3786i −0.586063 0.650889i
\(489\) −6.66082 0.531897i −0.301213 0.0240532i
\(490\) −7.53137 + 41.2441i −0.340233 + 1.86322i
\(491\) 19.9579 4.24219i 0.900690 0.191447i 0.265780 0.964034i \(-0.414371\pi\)
0.634910 + 0.772586i \(0.281037\pi\)
\(492\) 0.193078 + 7.71094i 0.00870465 + 0.347636i
\(493\) 3.02613 5.24141i 0.136290 0.236061i
\(494\) 18.9930 + 13.7992i 0.854537 + 0.620857i
\(495\) −35.7080 8.55938i −1.60496 0.384715i
\(496\) −12.8027 + 9.30172i −0.574859 + 0.417659i
\(497\) −2.92019 27.7837i −0.130988 1.24627i
\(498\) 8.74171 + 18.3815i 0.391726 + 0.823697i
\(499\) −10.7311 18.5869i −0.480392 0.832064i 0.519355 0.854559i \(-0.326172\pi\)
−0.999747 + 0.0224950i \(0.992839\pi\)
\(500\) −3.51390 + 10.1789i −0.157146 + 0.455214i
\(501\) −18.0559 + 2.35607i −0.806679 + 0.105261i
\(502\) −43.7462 9.29854i −1.95249 0.415014i
\(503\) −8.58020 + 6.23388i −0.382572 + 0.277955i −0.762405 0.647100i \(-0.775981\pi\)
0.379833 + 0.925055i \(0.375981\pi\)
\(504\) 14.2937 17.5688i 0.636693 0.782578i
\(505\) −16.3443 + 10.0753i −0.727311 + 0.448347i
\(506\) −30.0802 + 13.3926i −1.33723 + 0.595372i
\(507\) 8.00298 + 10.4545i 0.355425 + 0.464299i
\(508\) 0.478734 4.55485i 0.0212404 0.202089i
\(509\) −4.48811 + 0.953978i −0.198932 + 0.0422843i −0.306300 0.951935i \(-0.599091\pi\)
0.107368 + 0.994219i \(0.465758\pi\)
\(510\) 8.32490 4.25748i 0.368633 0.188524i
\(511\) −16.0899 3.42000i −0.711773 0.151292i
\(512\) 2.26343 6.96611i 0.100030 0.307861i
\(513\) 2.28849 + 30.4141i 0.101039 + 1.34281i
\(514\) −0.509248 1.56730i −0.0224620 0.0691308i
\(515\) 0.0240586 + 0.0311827i 0.00106015 + 0.00137407i
\(516\) 5.51571 + 4.72180i 0.242816 + 0.207866i
\(517\) −1.64226 + 15.6251i −0.0722267 + 0.687191i
\(518\) −10.9620 18.9867i −0.481641 0.834227i
\(519\) 0.266540 + 10.6448i 0.0116998 + 0.467253i
\(520\) −5.66446 7.34178i −0.248403 0.321958i
\(521\) 9.38013 6.81506i 0.410951 0.298573i −0.363036 0.931775i \(-0.618260\pi\)
0.773987 + 0.633202i \(0.218260\pi\)
\(522\) 7.93844 + 20.8228i 0.347456 + 0.911391i
\(523\) −2.58596 7.95877i −0.113076 0.348013i 0.878465 0.477807i \(-0.158568\pi\)
−0.991541 + 0.129794i \(0.958568\pi\)
\(524\) 8.86849 15.3607i 0.387422 0.671034i
\(525\) 10.5496 + 35.0804i 0.460423 + 1.53103i
\(526\) 4.54717 + 7.87592i 0.198266 + 0.343407i
\(527\) −2.97106 + 3.29970i −0.129421 + 0.143737i
\(528\) −34.4142 + 32.5830i −1.49768 + 1.41799i
\(529\) 1.12772 + 10.7295i 0.0490311 + 0.466500i
\(530\) −21.9141 1.66637i −0.951890 0.0723827i
\(531\) −27.0854 + 21.8307i −1.17541 + 0.947373i
\(532\) −23.9137 −1.03679
\(533\) 9.81431 4.36961i 0.425105 0.189269i
\(534\) 12.8720 4.54161i 0.557024 0.196535i
\(535\) 6.55971 + 3.53920i 0.283601 + 0.153013i
\(536\) −13.4723 + 14.9625i −0.581916 + 0.646283i
\(537\) −9.47735 8.11322i −0.408978 0.350111i
\(538\) −20.1683 22.3991i −0.869516 0.965695i
\(539\) −18.4245 56.7048i −0.793600 2.44245i
\(540\) −2.33537 + 10.9444i −0.100498 + 0.470972i
\(541\) 6.73533 20.7292i 0.289575 0.891219i −0.695416 0.718608i \(-0.744780\pi\)
0.984990 0.172611i \(-0.0552203\pi\)
\(542\) 21.1721 9.42641i 0.909418 0.404899i
\(543\) −15.0949 + 36.3246i −0.647785 + 1.55884i
\(544\) 0.738137 7.02291i 0.0316474 0.301105i
\(545\) 4.63470 4.42152i 0.198529 0.189397i
\(546\) 28.0868 + 8.35469i 1.20200 + 0.357548i
\(547\) −3.48938 33.1992i −0.149195 1.41950i −0.771255 0.636526i \(-0.780371\pi\)
0.622060 0.782969i \(-0.286296\pi\)
\(548\) −4.93071 15.1752i −0.210630 0.648251i
\(549\) 31.4327 8.34521i 1.34151 0.356165i
\(550\) −7.61609 46.4930i −0.324751 1.98247i
\(551\) −12.6648 + 21.9361i −0.539538 + 0.934508i
\(552\) −4.63955 9.75576i −0.197472 0.415233i
\(553\) −11.0903 4.93773i −0.471609 0.209974i
\(554\) −41.4704 18.4638i −1.76191 0.784453i
\(555\) −9.78964 6.33662i −0.415547 0.268975i
\(556\) −9.51551 + 4.23658i −0.403548 + 0.179671i
\(557\) 0.351013 0.0148729 0.00743646 0.999972i \(-0.497633\pi\)
0.00743646 + 0.999972i \(0.497633\pi\)
\(558\) −2.52054 16.1535i −0.106703 0.683833i
\(559\) 3.12500 9.61776i 0.132173 0.406788i
\(560\) 45.3677 + 13.3081i 1.91713 + 0.562370i
\(561\) −7.54416 + 10.9499i −0.318515 + 0.462306i
\(562\) −42.2731 + 8.98542i −1.78318 + 0.379027i
\(563\) −6.71206 + 1.42669i −0.282879 + 0.0601279i −0.347166 0.937804i \(-0.612856\pi\)
0.0642869 + 0.997931i \(0.479523\pi\)
\(564\) 4.77301 + 0.381147i 0.200980 + 0.0160492i
\(565\) 17.2756 + 5.06762i 0.726792 + 0.213196i
\(566\) −7.66881 + 23.6022i −0.322344 + 0.992073i
\(567\) 15.3247 + 34.8488i 0.643577 + 1.46351i
\(568\) −11.7878 −0.494607
\(569\) 13.8450 6.16417i 0.580411 0.258416i −0.0954629 0.995433i \(-0.530433\pi\)
0.675874 + 0.737017i \(0.263766\pi\)
\(570\) −34.8409 + 17.8182i −1.45933 + 0.746322i
\(571\) 36.1997 + 16.1171i 1.51491 + 0.674481i 0.984839 0.173473i \(-0.0554989\pi\)
0.530070 + 0.847954i \(0.322166\pi\)
\(572\) −11.1907 4.98241i −0.467906 0.208325i
\(573\) −10.5457 + 15.3066i −0.440555 + 0.639441i
\(574\) −16.8333 + 29.1561i −0.702609 + 1.21695i
\(575\) 17.2715 + 2.64196i 0.720272 + 0.110177i
\(576\) −2.81538 2.82831i −0.117308 0.117846i
\(577\) −3.56209 10.9630i −0.148292 0.456396i 0.849128 0.528188i \(-0.177128\pi\)
−0.997420 + 0.0717920i \(0.977128\pi\)
\(578\) 2.70493 + 25.7357i 0.112510 + 1.07046i
\(579\) 18.8545 17.8512i 0.783564 0.741871i
\(580\) −6.72447 + 6.41517i −0.279218 + 0.266375i
\(581\) −3.01848 + 28.7189i −0.125228 + 1.19146i
\(582\) 40.8788 5.33416i 1.69448 0.221108i
\(583\) 28.5519 12.7121i 1.18250 0.526483i
\(584\) −2.14481 + 6.60104i −0.0887528 + 0.273153i
\(585\) 15.3244 2.84582i 0.633588 0.117660i
\(586\) −3.56038 10.9577i −0.147078 0.452659i
\(587\) −26.2637 29.1688i −1.08402 1.20393i −0.977791 0.209583i \(-0.932789\pi\)
−0.106228 0.994342i \(-0.533877\pi\)
\(588\) −17.1356 + 6.04596i −0.706662 + 0.249331i
\(589\) 12.4343 13.8097i 0.512347 0.569019i
\(590\) −39.2816 21.1938i −1.61720 0.872537i
\(591\) −10.4500 8.94583i −0.429854 0.367982i
\(592\) −13.7496 + 6.12171i −0.565105 + 0.251601i
\(593\) −2.11729 −0.0869465 −0.0434733 0.999055i \(-0.513842\pi\)
−0.0434733 + 0.999055i \(0.513842\pi\)
\(594\) −13.7442 46.9922i −0.563933 1.92811i
\(595\) 13.2274 + 1.00583i 0.542271 + 0.0412349i
\(596\) −0.992157 9.43975i −0.0406403 0.386667i
\(597\) 5.67863 + 23.7732i 0.232411 + 0.972971i
\(598\) 9.35215 10.3866i 0.382438 0.424740i
\(599\) −1.13371 1.96364i −0.0463219 0.0802320i 0.841935 0.539579i \(-0.181417\pi\)
−0.888257 + 0.459347i \(0.848083\pi\)
\(600\) 15.1863 2.87976i 0.619978 0.117566i
\(601\) 17.8254 30.8745i 0.727113 1.25940i −0.230985 0.972957i \(-0.574195\pi\)
0.958098 0.286440i \(-0.0924718\pi\)
\(602\) 9.79310 + 30.1401i 0.399137 + 1.22842i
\(603\) −12.0556 31.6223i −0.490942 1.28776i
\(604\) 14.1380 10.2719i 0.575269 0.417957i
\(605\) 25.9016 + 33.5714i 1.05305 + 1.36487i
\(606\) −22.4847 12.2416i −0.913377 0.497279i
\(607\) −12.5954 21.8159i −0.511231 0.885478i −0.999915 0.0130175i \(-0.995856\pi\)
0.488684 0.872461i \(-0.337477\pi\)
\(608\) −3.08921 + 29.3919i −0.125284 + 1.19200i
\(609\) −5.79713 + 31.0798i −0.234912 + 1.25942i
\(610\) 25.4890 + 33.0366i 1.03202 + 1.33761i
\(611\) −2.06082 6.34257i −0.0833720 0.256593i
\(612\) 3.39365 + 2.21493i 0.137180 + 0.0895334i
\(613\) −13.2971 + 40.9242i −0.537063 + 1.65291i 0.202085 + 0.979368i \(0.435228\pi\)
−0.739148 + 0.673543i \(0.764772\pi\)
\(614\) −5.49123 1.16720i −0.221608 0.0471043i
\(615\) −0.910393 + 17.8843i −0.0367106 + 0.721165i
\(616\) −40.4224 + 8.59204i −1.62866 + 0.346183i
\(617\) −3.34729 + 31.8474i −0.134757 + 1.28213i 0.692958 + 0.720978i \(0.256307\pi\)
−0.827715 + 0.561149i \(0.810360\pi\)
\(618\) −0.0201522 + 0.0484945i −0.000810640 + 0.00195073i
\(619\) −11.9559 + 5.32313i −0.480550 + 0.213955i −0.632691 0.774404i \(-0.718050\pi\)
0.152141 + 0.988359i \(0.451383\pi\)
\(620\) 5.80406 3.57788i 0.233096 0.143691i
\(621\) 18.1499 + 0.537700i 0.728330 + 0.0215771i
\(622\) 44.8848 32.6107i 1.79972 1.30757i
\(623\) 18.9419 + 4.02622i 0.758890 + 0.161307i
\(624\) 7.71956 18.5764i 0.309030 0.743653i
\(625\) −9.92623 + 22.9449i −0.397049 + 0.917797i
\(626\) 17.6658 + 30.5980i 0.706067 + 1.22294i
\(627\) 31.5734 45.8270i 1.26092 1.83015i
\(628\) −0.268015 2.54999i −0.0106949 0.101756i
\(629\) −3.41644 + 2.48219i −0.136222 + 0.0989713i
\(630\) −33.6099 + 35.4426i −1.33905 + 1.41207i
\(631\) 34.4722 + 25.0455i 1.37232 + 0.997047i 0.997552 + 0.0699268i \(0.0222766\pi\)
0.374765 + 0.927120i \(0.377723\pi\)
\(632\) −2.56119 + 4.43612i −0.101879 + 0.176459i
\(633\) −11.1385 6.06424i −0.442716 0.241032i
\(634\) 6.73496 1.43156i 0.267479 0.0568545i
\(635\) 1.91003 10.4599i 0.0757972 0.415089i
\(636\) −4.09081 8.60191i −0.162211 0.341088i
\(637\) 16.9346 + 18.8078i 0.670973 + 0.745191i
\(638\) 12.5649 38.6708i 0.497450 1.53099i
\(639\) 9.03561 17.6334i 0.357443 0.697566i
\(640\) 10.5087 25.5613i 0.415394 1.01040i
\(641\) −1.78356 1.98084i −0.0704464 0.0782386i 0.706891 0.707322i \(-0.250097\pi\)
−0.777338 + 0.629084i \(0.783430\pi\)
\(642\) 0.248775 + 9.93529i 0.00981837 + 0.392115i
\(643\) 19.1382 + 33.1483i 0.754736 + 1.30724i 0.945505 + 0.325607i \(0.105569\pi\)
−0.190769 + 0.981635i \(0.561098\pi\)
\(644\) −1.48815 + 14.1588i −0.0586412 + 0.557934i
\(645\) 11.9373 + 11.9016i 0.470032 + 0.468625i
\(646\) 1.48128 + 14.0935i 0.0582803 + 0.554500i
\(647\) 29.1546 21.1821i 1.14619 0.832753i 0.158217 0.987404i \(-0.449425\pi\)
0.987969 + 0.154651i \(0.0494254\pi\)
\(648\) 15.2997 4.89378i 0.601029 0.192246i
\(649\) 63.4743 2.49158
\(650\) 10.9803 + 16.7139i 0.430682 + 0.655574i
\(651\) 8.90074 21.4188i 0.348847 0.839471i
\(652\) 2.48629 2.76131i 0.0973708 0.108141i
\(653\) 25.9936 + 11.5731i 1.01721 + 0.452890i 0.846476 0.532428i \(-0.178720\pi\)
0.170732 + 0.985318i \(0.445387\pi\)
\(654\) 8.18642 + 2.43513i 0.320114 + 0.0952212i
\(655\) 23.2339 33.9978i 0.907824 1.32841i
\(656\) 18.6981 + 13.5850i 0.730039 + 0.530405i
\(657\) −8.23043 8.26823i −0.321100 0.322575i
\(658\) 16.9078 + 12.2842i 0.659134 + 0.478889i
\(659\) −21.6918 24.0912i −0.844993 0.938460i 0.153774 0.988106i \(-0.450857\pi\)
−0.998767 + 0.0496464i \(0.984191\pi\)
\(660\) 15.8491 12.8738i 0.616926 0.501110i
\(661\) 31.0769 34.5144i 1.20875 1.34245i 0.285443 0.958396i \(-0.407859\pi\)
0.923309 0.384059i \(-0.125474\pi\)
\(662\) −2.48201 + 0.527567i −0.0964660 + 0.0205045i
\(663\) 1.03495 5.54860i 0.0401941 0.215490i
\(664\) 11.9184 + 2.53332i 0.462522 + 0.0983120i
\(665\) −55.3587 4.20953i −2.14672 0.163239i
\(666\) 0.849354 15.5259i 0.0329118 0.601617i
\(667\) 12.1997 + 8.86361i 0.472375 + 0.343200i
\(668\) 5.06279 8.76900i 0.195885 0.339283i
\(669\) −0.881903 35.2204i −0.0340963 1.36170i
\(670\) 31.4174 29.9723i 1.21376 1.15793i
\(671\) −54.2090 24.1354i −2.09272 0.931737i
\(672\) 8.57031 + 35.8790i 0.330607 + 1.38406i
\(673\) −5.72623 1.21715i −0.220730 0.0469176i 0.0962191 0.995360i \(-0.469325\pi\)
−0.316949 + 0.948443i \(0.602658\pi\)
\(674\) −16.0430 −0.617953
\(675\) −7.33277 + 24.9245i −0.282238 + 0.959344i
\(676\) −7.32129 −0.281588
\(677\) −19.4462 4.13342i −0.747379 0.158860i −0.181549 0.983382i \(-0.558111\pi\)
−0.565830 + 0.824522i \(0.691444\pi\)
\(678\) 5.57723 + 23.3486i 0.214192 + 0.896699i
\(679\) 53.4307 + 23.7889i 2.05048 + 0.912934i
\(680\) 1.00548 5.50634i 0.0385585 0.211158i
\(681\) −0.943608 37.6847i −0.0361591 1.44408i
\(682\) −14.9152 + 25.8340i −0.571134 + 0.989233i
\(683\) −36.4251 26.4644i −1.39377 1.01263i −0.995440 0.0953885i \(-0.969591\pi\)
−0.398328 0.917243i \(-0.630409\pi\)
\(684\) −14.2029 9.26982i −0.543063 0.354441i
\(685\) −8.74299 35.9975i −0.334053 1.37539i
\(686\) −27.7224 5.89258i −1.05845 0.224980i
\(687\) −5.96450 + 31.9770i −0.227560 + 1.22000i
\(688\) 21.2806 4.52332i 0.811314 0.172450i
\(689\) −8.87700 + 9.85891i −0.338187 + 0.375595i
\(690\) 8.38160 + 21.7373i 0.319082 + 0.827526i
\(691\) 0.672969 + 0.747407i 0.0256009 + 0.0284327i 0.755809 0.654792i \(-0.227244\pi\)
−0.730208 + 0.683225i \(0.760577\pi\)
\(692\) −4.79031 3.48036i −0.182100 0.132304i
\(693\) 18.1317 67.0536i 0.688767 2.54716i
\(694\) 9.29844 + 6.75571i 0.352964 + 0.256443i
\(695\) −22.7735 + 8.13239i −0.863850 + 0.308479i
\(696\) 12.7865 + 3.80347i 0.484671 + 0.144170i
\(697\) 5.92416 + 2.63761i 0.224394 + 0.0999065i
\(698\) −5.00364 + 5.55710i −0.189390 + 0.210339i
\(699\) −4.25461 + 10.2384i −0.160924 + 0.387250i
\(700\) −19.0557 7.19938i −0.720238 0.272111i
\(701\) −8.14396 −0.307593 −0.153797 0.988103i \(-0.549150\pi\)
−0.153797 + 0.988103i \(0.549150\pi\)
\(702\) 13.4428 + 15.8495i 0.507367 + 0.598201i
\(703\) 14.2983 10.3883i 0.539270 0.391803i
\(704\) 0.761121 + 7.24158i 0.0286858 + 0.272927i
\(705\) 10.9821 + 1.72252i 0.413610 + 0.0648739i
\(706\) 0.832480 7.92052i 0.0313308 0.298093i
\(707\) −18.1604 31.4547i −0.682992 1.18298i
\(708\) −0.484231 19.3386i −0.0181985 0.726791i
\(709\) 27.5012 + 30.5431i 1.03283 + 1.14707i 0.988982 + 0.148033i \(0.0472941\pi\)
0.0438449 + 0.999038i \(0.486039\pi\)
\(710\) 25.3485 + 1.92752i 0.951312 + 0.0723387i
\(711\) −4.67276 7.23165i −0.175242 0.271208i
\(712\) 2.52499 7.77112i 0.0946279 0.291235i
\(713\) −7.40263 8.22145i −0.277231 0.307896i
\(714\) 7.59660 + 15.9737i 0.284296 + 0.597800i
\(715\) −25.0286 13.5038i −0.936018 0.505015i
\(716\) 6.78586 1.44238i 0.253600 0.0539042i
\(717\) 26.7545 + 14.5662i 0.999166 + 0.543986i
\(718\) 7.76100 13.4424i 0.289638 0.501668i
\(719\) 39.3653 + 28.6006i 1.46808 + 1.06662i 0.981165 + 0.193173i \(0.0618779\pi\)
0.486915 + 0.873449i \(0.338122\pi\)
\(720\) 21.7862 + 25.4902i 0.811926 + 0.949962i
\(721\) −0.0602751 + 0.0437924i −0.00224476 + 0.00163091i
\(722\) −2.78066 26.4562i −0.103485 0.984597i
\(723\) 7.46593 10.8364i 0.277661 0.403009i
\(724\) −10.9369 18.9433i −0.406468 0.704023i
\(725\) −16.6960 + 13.6670i −0.620073 + 0.507579i
\(726\) −21.6959 + 52.2093i −0.805211 + 1.93767i
\(727\) −38.1966 8.11893i −1.41663 0.301115i −0.564929 0.825139i \(-0.691097\pi\)
−0.851703 + 0.524025i \(0.824430\pi\)
\(728\) 14.1914 10.3107i 0.525968 0.382138i
\(729\) −4.40694 + 26.6379i −0.163220 + 0.986590i
\(730\) 5.69157 13.8441i 0.210654 0.512393i
\(731\) 5.57654 2.48284i 0.206256 0.0918310i
\(732\) −6.93976 + 16.6999i −0.256501 + 0.617247i
\(733\) −0.0804066 + 0.765018i −0.00296989 + 0.0282566i −0.995906 0.0903896i \(-0.971189\pi\)
0.992937 + 0.118646i \(0.0378554\pi\)
\(734\) 15.5870 3.31313i 0.575328 0.122290i
\(735\) −40.7321 + 10.9796i −1.50243 + 0.404989i
\(736\) 17.2100 + 3.65810i 0.634370 + 0.134839i
\(737\) −19.0815 + 58.7268i −0.702876 + 2.16323i
\(738\) −21.2997 + 10.7913i −0.784052 + 0.397234i
\(739\) 16.0888 + 49.5162i 0.591835 + 1.82148i 0.569888 + 0.821723i \(0.306987\pi\)
0.0219476 + 0.999759i \(0.493013\pi\)
\(740\) 6.10696 2.18078i 0.224496 0.0801672i
\(741\) −4.33141 + 23.2217i −0.159118 + 0.853070i
\(742\) 4.34570 41.3466i 0.159536 1.51788i
\(743\) 19.6551 + 34.0437i 0.721076 + 1.24894i 0.960569 + 0.278043i \(0.0896857\pi\)
−0.239492 + 0.970898i \(0.576981\pi\)
\(744\) −8.59555 4.67976i −0.315128 0.171568i
\(745\) −0.635101 22.0270i −0.0232683 0.807008i
\(746\) 7.54594 5.48244i 0.276276 0.200727i
\(747\) −12.9252 + 15.8868i −0.472910 + 0.581266i
\(748\) −2.28494 7.03234i −0.0835458 0.257128i
\(749\) −7.04991 + 12.2108i −0.257598 + 0.446173i
\(750\) −33.1274 + 3.70938i −1.20964 + 0.135447i
\(751\) 19.8565 + 34.3925i 0.724575 + 1.25500i 0.959149 + 0.282903i \(0.0912973\pi\)
−0.234573 + 0.972098i \(0.575369\pi\)
\(752\) 9.60021 10.6621i 0.350084 0.388807i
\(753\) −10.4551 43.7694i −0.381004 1.59504i
\(754\) 1.80410 + 17.1649i 0.0657016 + 0.625109i
\(755\) 34.5368 21.2900i 1.25692 0.774824i
\(756\) −20.5675 5.01264i −0.748031 0.182308i
\(757\) −30.6481 −1.11392 −0.556961 0.830538i \(-0.688033\pi\)
−0.556961 + 0.830538i \(0.688033\pi\)
\(758\) −14.0242 + 6.24398i −0.509382 + 0.226792i
\(759\) −25.1683 21.5457i −0.913552 0.782059i
\(760\) −4.20809 + 23.0448i −0.152644 + 0.835924i
\(761\) −12.5617 + 13.9511i −0.455360 + 0.505729i −0.926482 0.376340i \(-0.877183\pi\)
0.471122 + 0.882068i \(0.343849\pi\)
\(762\) 13.3698 4.71727i 0.484337 0.170889i
\(763\) 8.10797 + 9.00481i 0.293528 + 0.325996i
\(764\) −3.19405 9.83029i −0.115557 0.355647i
\(765\) 7.46619 + 5.72481i 0.269941 + 0.206981i
\(766\) −9.81472 + 30.2066i −0.354620 + 1.09141i
\(767\) −24.6138 + 10.9588i −0.888752 + 0.395698i
\(768\) 31.9716 4.17189i 1.15368 0.150540i
\(769\) 3.95016 37.5833i 0.142446 1.35529i −0.656700 0.754152i \(-0.728048\pi\)
0.799147 0.601136i \(-0.205285\pi\)
\(770\) 88.3289 11.8665i 3.18315 0.427638i
\(771\) 1.20411 1.14003i