Properties

Label 819.2.ew.a.176.29
Level $819$
Weight $2$
Character 819.176
Analytic conductor $6.540$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 819 = 3^{2} \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 819.ew (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.53974792554\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(84\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 176.29
Character \(\chi\) \(=\) 819.176
Dual form 819.2.ew.a.470.29

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.780151 + 0.780151i) q^{2} +(1.09790 - 1.33963i) q^{3} +0.782727i q^{4} +(1.13281 + 4.22771i) q^{5} +(0.188584 + 1.90165i) q^{6} +(0.258819 + 0.965926i) q^{7} +(-2.17095 - 2.17095i) q^{8} +(-0.589219 - 2.94157i) q^{9} +O(q^{10})\) \(q+(-0.780151 + 0.780151i) q^{2} +(1.09790 - 1.33963i) q^{3} +0.782727i q^{4} +(1.13281 + 4.22771i) q^{5} +(0.188584 + 1.90165i) q^{6} +(0.258819 + 0.965926i) q^{7} +(-2.17095 - 2.17095i) q^{8} +(-0.589219 - 2.94157i) q^{9} +(-4.18202 - 2.41449i) q^{10} +(1.18054 + 1.18054i) q^{11} +(1.04857 + 0.859358i) q^{12} +(-1.53211 + 3.26384i) q^{13} +(-0.955487 - 0.551650i) q^{14} +(6.90729 + 3.12407i) q^{15} +1.82188 q^{16} +(0.720308 + 1.24761i) q^{17} +(2.75455 + 1.83519i) q^{18} +(1.10232 - 4.11390i) q^{19} +(-3.30915 + 0.886683i) q^{20} +(1.57814 + 0.713771i) q^{21} -1.84199 q^{22} +(3.58613 + 6.21136i) q^{23} +(-5.29176 + 0.524779i) q^{24} +(-12.2602 + 7.07842i) q^{25} +(-1.35101 - 3.74157i) q^{26} +(-4.58752 - 2.44022i) q^{27} +(-0.756057 + 0.202585i) q^{28} +0.557829i q^{29} +(-7.82598 + 2.95149i) q^{30} +(1.46928 - 0.393693i) q^{31} +(2.92055 - 2.92055i) q^{32} +(2.87759 - 0.285368i) q^{33} +(-1.53527 - 0.411375i) q^{34} +(-3.79046 + 2.18843i) q^{35} +(2.30245 - 0.461198i) q^{36} +(-1.95708 - 7.30392i) q^{37} +(2.34949 + 4.06944i) q^{38} +(2.69022 + 5.63584i) q^{39} +(6.71887 - 11.6374i) q^{40} +(-3.12133 - 0.836358i) q^{41} +(-1.78804 + 0.674340i) q^{42} +(-5.89594 - 3.40402i) q^{43} +(-0.924038 + 0.924038i) q^{44} +(11.7686 - 5.82330i) q^{45} +(-7.64353 - 2.04808i) q^{46} +(2.48767 - 9.28411i) q^{47} +(2.00025 - 2.44065i) q^{48} +(-0.866025 + 0.500000i) q^{49} +(4.04256 - 15.0870i) q^{50} +(2.46216 + 0.404808i) q^{51} +(-2.55469 - 1.19923i) q^{52} +13.5656i q^{53} +(5.48270 - 1.67522i) q^{54} +(-3.65364 + 6.32829i) q^{55} +(1.53509 - 2.65886i) q^{56} +(-4.30087 - 5.99336i) q^{57} +(-0.435191 - 0.435191i) q^{58} +(1.98861 + 1.98861i) q^{59} +(-2.44529 + 5.40653i) q^{60} +(-4.26370 + 7.38494i) q^{61} +(-0.839122 + 1.45340i) q^{62} +(2.68884 - 1.33048i) q^{63} +8.20071i q^{64} +(-15.5342 - 2.78002i) q^{65} +(-2.02233 + 2.46759i) q^{66} +(-0.423972 + 1.58228i) q^{67} +(-0.976538 + 0.563805i) q^{68} +(12.2581 + 2.01538i) q^{69} +(1.24983 - 4.66444i) q^{70} +(13.2583 + 3.55255i) q^{71} +(-5.10683 + 7.66516i) q^{72} +(-5.23705 + 5.23705i) q^{73} +(7.22498 + 4.17135i) q^{74} +(-3.97802 + 24.1955i) q^{75} +(3.22006 + 0.862814i) q^{76} +(-0.834765 + 1.44585i) q^{77} +(-6.49559 - 2.29803i) q^{78} +(-2.40564 - 4.16670i) q^{79} +(2.06385 + 7.70240i) q^{80} +(-8.30564 + 3.46646i) q^{81} +(3.08760 - 1.78263i) q^{82} +(3.96983 + 1.06371i) q^{83} +(-0.558688 + 1.23525i) q^{84} +(-4.45856 + 4.45856i) q^{85} +(7.25538 - 1.94407i) q^{86} +(0.747284 + 0.612441i) q^{87} -5.12576i q^{88} +(4.58335 - 1.22811i) q^{89} +(-4.63826 + 13.7244i) q^{90} +(-3.54916 - 0.635165i) q^{91} +(-4.86180 + 2.80696i) q^{92} +(1.08572 - 2.40053i) q^{93} +(5.30225 + 9.18377i) q^{94} +18.6411 q^{95} +(-0.705979 - 7.11894i) q^{96} +(11.7570 - 3.15028i) q^{97} +(0.285555 - 1.06571i) q^{98} +(2.77703 - 4.16822i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q + 24 q^{6} - 36 q^{8} + O(q^{10}) \) \( 336 q + 24 q^{6} - 36 q^{8} + 16 q^{15} - 336 q^{16} + 20 q^{18} + 8 q^{21} + 8 q^{24} + 96 q^{26} + 24 q^{27} - 96 q^{30} - 72 q^{32} - 36 q^{33} - 12 q^{36} - 72 q^{38} - 16 q^{39} - 48 q^{41} - 28 q^{45} + 60 q^{47} - 48 q^{48} + 132 q^{50} - 36 q^{52} - 108 q^{54} + 68 q^{57} - 72 q^{58} - 44 q^{60} - 36 q^{62} - 8 q^{63} - 72 q^{65} - 20 q^{66} - 72 q^{69} + 48 q^{71} - 104 q^{72} + 12 q^{74} + 104 q^{78} - 12 q^{79} + 96 q^{80} - 68 q^{81} - 120 q^{83} - 12 q^{84} + 36 q^{85} + 48 q^{86} - 24 q^{87} - 60 q^{89} - 72 q^{92} - 172 q^{93} - 48 q^{94} - 152 q^{96} + 48 q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(379\) \(703\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{11}{12}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.780151 + 0.780151i −0.551650 + 0.551650i −0.926917 0.375267i \(-0.877551\pi\)
0.375267 + 0.926917i \(0.377551\pi\)
\(3\) 1.09790 1.33963i 0.633874 0.773436i
\(4\) 0.782727i 0.391364i
\(5\) 1.13281 + 4.22771i 0.506609 + 1.89069i 0.451633 + 0.892204i \(0.350842\pi\)
0.0549758 + 0.998488i \(0.482492\pi\)
\(6\) 0.188584 + 1.90165i 0.0769892 + 0.776343i
\(7\) 0.258819 + 0.965926i 0.0978244 + 0.365086i
\(8\) −2.17095 2.17095i −0.767546 0.767546i
\(9\) −0.589219 2.94157i −0.196406 0.980523i
\(10\) −4.18202 2.41449i −1.32247 0.763529i
\(11\) 1.18054 + 1.18054i 0.355945 + 0.355945i 0.862316 0.506371i \(-0.169013\pi\)
−0.506371 + 0.862316i \(0.669013\pi\)
\(12\) 1.04857 + 0.859358i 0.302695 + 0.248075i
\(13\) −1.53211 + 3.26384i −0.424932 + 0.905225i
\(14\) −0.955487 0.551650i −0.255365 0.147435i
\(15\) 6.90729 + 3.12407i 1.78346 + 0.806631i
\(16\) 1.82188 0.455471
\(17\) 0.720308 + 1.24761i 0.174700 + 0.302590i 0.940058 0.341016i \(-0.110771\pi\)
−0.765357 + 0.643606i \(0.777438\pi\)
\(18\) 2.75455 + 1.83519i 0.649253 + 0.432558i
\(19\) 1.10232 4.11390i 0.252889 0.943794i −0.716364 0.697727i \(-0.754195\pi\)
0.969253 0.246067i \(-0.0791384\pi\)
\(20\) −3.30915 + 0.886683i −0.739948 + 0.198268i
\(21\) 1.57814 + 0.713771i 0.344379 + 0.155758i
\(22\) −1.84199 −0.392714
\(23\) 3.58613 + 6.21136i 0.747760 + 1.29516i 0.948894 + 0.315594i \(0.102204\pi\)
−0.201134 + 0.979564i \(0.564463\pi\)
\(24\) −5.29176 + 0.524779i −1.08018 + 0.107120i
\(25\) −12.2602 + 7.07842i −2.45204 + 1.41568i
\(26\) −1.35101 3.74157i −0.264954 0.733782i
\(27\) −4.58752 2.44022i −0.882868 0.469620i
\(28\) −0.756057 + 0.202585i −0.142881 + 0.0382849i
\(29\) 0.557829i 0.103586i 0.998658 + 0.0517931i \(0.0164936\pi\)
−0.998658 + 0.0517931i \(0.983506\pi\)
\(30\) −7.82598 + 2.95149i −1.42882 + 0.538865i
\(31\) 1.46928 0.393693i 0.263891 0.0707093i −0.124448 0.992226i \(-0.539716\pi\)
0.388338 + 0.921517i \(0.373049\pi\)
\(32\) 2.92055 2.92055i 0.516286 0.516286i
\(33\) 2.87759 0.285368i 0.500925 0.0496762i
\(34\) −1.53527 0.411375i −0.263297 0.0705503i
\(35\) −3.79046 + 2.18843i −0.640706 + 0.369911i
\(36\) 2.30245 0.461198i 0.383741 0.0768664i
\(37\) −1.95708 7.30392i −0.321742 1.20076i −0.917547 0.397628i \(-0.869833\pi\)
0.595805 0.803129i \(-0.296833\pi\)
\(38\) 2.34949 + 4.06944i 0.381138 + 0.660151i
\(39\) 2.69022 + 5.63584i 0.430780 + 0.902457i
\(40\) 6.71887 11.6374i 1.06235 1.84004i
\(41\) −3.12133 0.836358i −0.487470 0.130617i 0.00670873 0.999977i \(-0.497865\pi\)
−0.494179 + 0.869360i \(0.664531\pi\)
\(42\) −1.78804 + 0.674340i −0.275900 + 0.104053i
\(43\) −5.89594 3.40402i −0.899123 0.519109i −0.0222071 0.999753i \(-0.507069\pi\)
−0.876915 + 0.480645i \(0.840403\pi\)
\(44\) −0.924038 + 0.924038i −0.139304 + 0.139304i
\(45\) 11.7686 5.82330i 1.75436 0.868086i
\(46\) −7.64353 2.04808i −1.12698 0.301972i
\(47\) 2.48767 9.28411i 0.362864 1.35423i −0.507430 0.861693i \(-0.669404\pi\)
0.870294 0.492533i \(-0.163929\pi\)
\(48\) 2.00025 2.44065i 0.288711 0.352277i
\(49\) −0.866025 + 0.500000i −0.123718 + 0.0714286i
\(50\) 4.04256 15.0870i 0.571704 2.13363i
\(51\) 2.46216 + 0.404808i 0.344772 + 0.0566844i
\(52\) −2.55469 1.19923i −0.354272 0.166303i
\(53\) 13.5656i 1.86338i 0.363252 + 0.931691i \(0.381666\pi\)
−0.363252 + 0.931691i \(0.618334\pi\)
\(54\) 5.48270 1.67522i 0.746101 0.227968i
\(55\) −3.65364 + 6.32829i −0.492657 + 0.853307i
\(56\) 1.53509 2.65886i 0.205135 0.355305i
\(57\) −4.30087 5.99336i −0.569665 0.793840i
\(58\) −0.435191 0.435191i −0.0571433 0.0571433i
\(59\) 1.98861 + 1.98861i 0.258895 + 0.258895i 0.824605 0.565710i \(-0.191398\pi\)
−0.565710 + 0.824605i \(0.691398\pi\)
\(60\) −2.44529 + 5.40653i −0.315686 + 0.697980i
\(61\) −4.26370 + 7.38494i −0.545910 + 0.945544i 0.452639 + 0.891694i \(0.350483\pi\)
−0.998549 + 0.0538503i \(0.982851\pi\)
\(62\) −0.839122 + 1.45340i −0.106569 + 0.184582i
\(63\) 2.68884 1.33048i 0.338761 0.167624i
\(64\) 8.20071i 1.02509i
\(65\) −15.5342 2.78002i −1.92678 0.344820i
\(66\) −2.02233 + 2.46759i −0.248932 + 0.303739i
\(67\) −0.423972 + 1.58228i −0.0517964 + 0.193307i −0.986976 0.160867i \(-0.948571\pi\)
0.935180 + 0.354173i \(0.115238\pi\)
\(68\) −0.976538 + 0.563805i −0.118423 + 0.0683714i
\(69\) 12.2581 + 2.01538i 1.47571 + 0.242623i
\(70\) 1.24983 4.66444i 0.149384 0.557507i
\(71\) 13.2583 + 3.55255i 1.57347 + 0.421610i 0.936897 0.349605i \(-0.113684\pi\)
0.636574 + 0.771216i \(0.280351\pi\)
\(72\) −5.10683 + 7.66516i −0.601845 + 0.903348i
\(73\) −5.23705 + 5.23705i −0.612950 + 0.612950i −0.943714 0.330763i \(-0.892694\pi\)
0.330763 + 0.943714i \(0.392694\pi\)
\(74\) 7.22498 + 4.17135i 0.839887 + 0.484909i
\(75\) −3.97802 + 24.1955i −0.459342 + 2.79386i
\(76\) 3.22006 + 0.862814i 0.369367 + 0.0989715i
\(77\) −0.834765 + 1.44585i −0.0951303 + 0.164770i
\(78\) −6.49559 2.29803i −0.735481 0.260200i
\(79\) −2.40564 4.16670i −0.270656 0.468790i 0.698374 0.715733i \(-0.253907\pi\)
−0.969030 + 0.246943i \(0.920574\pi\)
\(80\) 2.06385 + 7.70240i 0.230746 + 0.861155i
\(81\) −8.30564 + 3.46646i −0.922849 + 0.385162i
\(82\) 3.08760 1.78263i 0.340968 0.196858i
\(83\) 3.96983 + 1.06371i 0.435745 + 0.116758i 0.470022 0.882655i \(-0.344246\pi\)
−0.0342767 + 0.999412i \(0.510913\pi\)
\(84\) −0.558688 + 1.23525i −0.0609578 + 0.134777i
\(85\) −4.45856 + 4.45856i −0.483599 + 0.483599i
\(86\) 7.25538 1.94407i 0.782368 0.209635i
\(87\) 0.747284 + 0.612441i 0.0801173 + 0.0656606i
\(88\) 5.12576i 0.546408i
\(89\) 4.58335 1.22811i 0.485834 0.130179i −0.00758373 0.999971i \(-0.502414\pi\)
0.493418 + 0.869792i \(0.335747\pi\)
\(90\) −4.63826 + 13.7244i −0.488916 + 1.44668i
\(91\) −3.54916 0.635165i −0.372053 0.0665834i
\(92\) −4.86180 + 2.80696i −0.506878 + 0.292646i
\(93\) 1.08572 2.40053i 0.112584 0.248923i
\(94\) 5.30225 + 9.18377i 0.546886 + 0.947234i
\(95\) 18.6411 1.91254
\(96\) −0.705979 7.11894i −0.0720536 0.726574i
\(97\) 11.7570 3.15028i 1.19374 0.319863i 0.393380 0.919376i \(-0.371306\pi\)
0.800365 + 0.599513i \(0.204639\pi\)
\(98\) 0.285555 1.06571i 0.0288454 0.107653i
\(99\) 2.77703 4.16822i 0.279102 0.418922i
\(100\) −5.54047 9.59638i −0.554047 0.959638i
\(101\) 3.27102 0.325479 0.162739 0.986669i \(-0.447967\pi\)
0.162739 + 0.986669i \(0.447967\pi\)
\(102\) −2.23667 + 1.60505i −0.221464 + 0.158924i
\(103\) 9.17468 + 5.29700i 0.904008 + 0.521929i 0.878498 0.477746i \(-0.158546\pi\)
0.0255094 + 0.999675i \(0.491879\pi\)
\(104\) 10.4118 3.75948i 1.02096 0.368647i
\(105\) −1.22988 + 7.48050i −0.120024 + 0.730022i
\(106\) −10.5832 10.5832i −1.02794 1.02794i
\(107\) 3.83292 + 2.21294i 0.370543 + 0.213933i 0.673695 0.739009i \(-0.264706\pi\)
−0.303153 + 0.952942i \(0.598039\pi\)
\(108\) 1.91003 3.59078i 0.183792 0.345523i
\(109\) 5.42408 + 5.42408i 0.519532 + 0.519532i 0.917430 0.397898i \(-0.130260\pi\)
−0.397898 + 0.917430i \(0.630260\pi\)
\(110\) −2.08663 7.78742i −0.198953 0.742501i
\(111\) −11.9332 5.39723i −1.13265 0.512282i
\(112\) 0.471538 + 1.75980i 0.0445562 + 0.166286i
\(113\) 3.22824i 0.303687i 0.988405 + 0.151844i \(0.0485210\pi\)
−0.988405 + 0.151844i \(0.951479\pi\)
\(114\) 8.03106 + 1.32040i 0.752178 + 0.123667i
\(115\) −22.1974 + 22.1974i −2.06992 + 2.06992i
\(116\) −0.436628 −0.0405399
\(117\) 10.5035 + 2.58370i 0.971053 + 0.238863i
\(118\) −3.10284 −0.285639
\(119\) −1.01867 + 1.01867i −0.0933812 + 0.0933812i
\(120\) −8.21319 21.7776i −0.749758 1.98801i
\(121\) 8.21267i 0.746606i
\(122\) −2.43504 9.08770i −0.220458 0.822761i
\(123\) −4.54733 + 3.26319i −0.410019 + 0.294232i
\(124\) 0.308154 + 1.15005i 0.0276730 + 0.103277i
\(125\) −28.3395 28.3395i −2.53476 2.53476i
\(126\) −1.05973 + 3.13567i −0.0944079 + 0.279348i
\(127\) −2.81901 1.62756i −0.250147 0.144422i 0.369685 0.929157i \(-0.379466\pi\)
−0.619831 + 0.784735i \(0.712799\pi\)
\(128\) −0.556693 0.556693i −0.0492052 0.0492052i
\(129\) −11.0333 + 4.16110i −0.971428 + 0.366364i
\(130\) 14.2878 9.95016i 1.25313 0.872687i
\(131\) −15.6943 9.06113i −1.37122 0.791675i −0.380139 0.924929i \(-0.624124\pi\)
−0.991082 + 0.133255i \(0.957457\pi\)
\(132\) 0.223365 + 2.25237i 0.0194415 + 0.196044i
\(133\) 4.25903 0.369304
\(134\) −0.903659 1.56518i −0.0780643 0.135211i
\(135\) 5.11975 22.1590i 0.440638 1.90715i
\(136\) 1.14475 4.27225i 0.0981611 0.366342i
\(137\) 16.7500 4.48815i 1.43105 0.383449i 0.541660 0.840598i \(-0.317796\pi\)
0.889390 + 0.457149i \(0.151129\pi\)
\(138\) −11.1355 + 7.99091i −0.947918 + 0.680232i
\(139\) 6.01065 0.509817 0.254908 0.966965i \(-0.417955\pi\)
0.254908 + 0.966965i \(0.417955\pi\)
\(140\) −1.71294 2.96690i −0.144770 0.250749i
\(141\) −9.70606 13.5256i −0.817397 1.13906i
\(142\) −13.1150 + 7.57196i −1.10059 + 0.635424i
\(143\) −5.66179 + 2.04436i −0.473463 + 0.170958i
\(144\) −1.07349 5.35919i −0.0894574 0.446599i
\(145\) −2.35834 + 0.631915i −0.195849 + 0.0524777i
\(146\) 8.17138i 0.676268i
\(147\) −0.280996 + 1.70911i −0.0231762 + 0.140965i
\(148\) 5.71698 1.53186i 0.469933 0.125918i
\(149\) 15.8189 15.8189i 1.29593 1.29593i 0.364880 0.931055i \(-0.381110\pi\)
0.931055 0.364880i \(-0.118890\pi\)
\(150\) −15.7727 21.9796i −1.28784 1.79463i
\(151\) −0.632330 0.169432i −0.0514583 0.0137882i 0.232998 0.972477i \(-0.425146\pi\)
−0.284456 + 0.958689i \(0.591813\pi\)
\(152\) −11.3241 + 6.53800i −0.918510 + 0.530302i
\(153\) 3.24551 2.85395i 0.262384 0.230728i
\(154\) −0.476743 1.77923i −0.0384170 0.143374i
\(155\) 3.32884 + 5.76572i 0.267379 + 0.463114i
\(156\) −4.41133 + 2.10571i −0.353189 + 0.168592i
\(157\) 3.72343 6.44917i 0.297162 0.514700i −0.678323 0.734764i \(-0.737293\pi\)
0.975486 + 0.220063i \(0.0706264\pi\)
\(158\) 5.12742 + 1.37389i 0.407916 + 0.109301i
\(159\) 18.1729 + 14.8937i 1.44121 + 1.18115i
\(160\) 15.6557 + 9.03882i 1.23769 + 0.714582i
\(161\) −5.07155 + 5.07155i −0.399694 + 0.399694i
\(162\) 3.77530 9.18402i 0.296615 0.721565i
\(163\) 13.3381 + 3.57394i 1.04472 + 0.279933i 0.740070 0.672530i \(-0.234793\pi\)
0.304654 + 0.952463i \(0.401459\pi\)
\(164\) 0.654640 2.44315i 0.0511188 0.190778i
\(165\) 4.46623 + 11.8424i 0.347696 + 0.921928i
\(166\) −3.92692 + 2.26721i −0.304788 + 0.175970i
\(167\) −4.99576 + 18.6444i −0.386584 + 1.44275i 0.449071 + 0.893496i \(0.351755\pi\)
−0.835655 + 0.549254i \(0.814912\pi\)
\(168\) −1.87651 4.97562i −0.144776 0.383878i
\(169\) −8.30526 10.0011i −0.638866 0.769318i
\(170\) 6.95671i 0.533555i
\(171\) −12.7508 0.818549i −0.975081 0.0625960i
\(172\) 2.66442 4.61491i 0.203160 0.351884i
\(173\) −0.916254 + 1.58700i −0.0696615 + 0.120657i −0.898752 0.438457i \(-0.855525\pi\)
0.829091 + 0.559114i \(0.188859\pi\)
\(174\) −1.06079 + 0.105198i −0.0804184 + 0.00797501i
\(175\) −10.0104 10.0104i −0.756715 0.756715i
\(176\) 2.15080 + 2.15080i 0.162122 + 0.162122i
\(177\) 4.84730 0.480702i 0.364346 0.0361318i
\(178\) −2.61760 + 4.53382i −0.196197 + 0.339824i
\(179\) 3.59433 6.22556i 0.268653 0.465320i −0.699861 0.714279i \(-0.746755\pi\)
0.968514 + 0.248958i \(0.0800883\pi\)
\(180\) 4.55805 + 9.21163i 0.339737 + 0.686594i
\(181\) 22.0564i 1.63944i −0.572765 0.819720i \(-0.694129\pi\)
0.572765 0.819720i \(-0.305871\pi\)
\(182\) 3.26441 2.27336i 0.241974 0.168513i
\(183\) 5.21196 + 13.8197i 0.385279 + 1.02158i
\(184\) 5.69924 21.2698i 0.420153 1.56803i
\(185\) 28.6619 16.5479i 2.10726 1.21663i
\(186\) 1.02575 + 2.71981i 0.0752114 + 0.199426i
\(187\) −0.622499 + 2.32320i −0.0455216 + 0.169889i
\(188\) 7.26693 + 1.94717i 0.529995 + 0.142012i
\(189\) 1.16973 5.06278i 0.0850856 0.368263i
\(190\) −14.5429 + 14.5429i −1.05505 + 1.05505i
\(191\) 16.6268 + 9.59947i 1.20307 + 0.694593i 0.961237 0.275724i \(-0.0889176\pi\)
0.241834 + 0.970318i \(0.422251\pi\)
\(192\) 10.9859 + 9.00359i 0.792841 + 0.649778i
\(193\) 9.34413 + 2.50375i 0.672605 + 0.180224i 0.578928 0.815379i \(-0.303471\pi\)
0.0936771 + 0.995603i \(0.470138\pi\)
\(194\) −6.71456 + 11.6300i −0.482077 + 0.834982i
\(195\) −20.7792 + 17.7578i −1.48803 + 1.27167i
\(196\) −0.391364 0.677862i −0.0279545 0.0484187i
\(197\) 2.49670 + 9.31783i 0.177883 + 0.663868i 0.996043 + 0.0888767i \(0.0283277\pi\)
−0.818160 + 0.574991i \(0.805006\pi\)
\(198\) 1.08534 + 5.41835i 0.0771316 + 0.385065i
\(199\) −10.7281 + 6.19387i −0.760494 + 0.439071i −0.829473 0.558547i \(-0.811359\pi\)
0.0689790 + 0.997618i \(0.478026\pi\)
\(200\) 41.9831 + 11.2493i 2.96865 + 0.795448i
\(201\) 1.65420 + 2.30516i 0.116678 + 0.162593i
\(202\) −2.55189 + 2.55189i −0.179551 + 0.179551i
\(203\) −0.538821 + 0.144377i −0.0378178 + 0.0101333i
\(204\) −0.316854 + 1.92720i −0.0221842 + 0.134931i
\(205\) 14.1435i 0.987827i
\(206\) −11.2901 + 3.02517i −0.786619 + 0.210774i
\(207\) 16.1581 14.2087i 1.12307 0.987573i
\(208\) −2.79133 + 5.94633i −0.193544 + 0.412304i
\(209\) 6.15793 3.55529i 0.425953 0.245924i
\(210\) −4.87643 6.79542i −0.336506 0.468928i
\(211\) −0.221183 0.383101i −0.0152269 0.0263737i 0.858312 0.513129i \(-0.171514\pi\)
−0.873538 + 0.486755i \(0.838180\pi\)
\(212\) −10.6182 −0.729260
\(213\) 19.3154 13.8609i 1.32347 0.949731i
\(214\) −4.71669 + 1.26383i −0.322426 + 0.0863938i
\(215\) 7.71224 28.7825i 0.525970 1.96295i
\(216\) 4.66168 + 15.2569i 0.317187 + 1.03810i
\(217\) 0.760556 + 1.31732i 0.0516299 + 0.0894256i
\(218\) −8.46320 −0.573200
\(219\) 1.26594 + 12.7655i 0.0855443 + 0.862611i
\(220\) −4.95333 2.85981i −0.333953 0.192808i
\(221\) −5.17559 + 0.439487i −0.348148 + 0.0295631i
\(222\) 13.5204 5.09908i 0.907429 0.342228i
\(223\) −8.22639 8.22639i −0.550880 0.550880i 0.375815 0.926695i \(-0.377363\pi\)
−0.926695 + 0.375815i \(0.877363\pi\)
\(224\) 3.57693 + 2.06514i 0.238994 + 0.137983i
\(225\) 28.0456 + 31.8934i 1.86970 + 2.12623i
\(226\) −2.51852 2.51852i −0.167529 0.167529i
\(227\) 4.52270 + 16.8789i 0.300182 + 1.12029i 0.937014 + 0.349292i \(0.113578\pi\)
−0.636832 + 0.771002i \(0.719756\pi\)
\(228\) 4.69117 3.36641i 0.310680 0.222946i
\(229\) −1.11551 4.16313i −0.0737147 0.275107i 0.919224 0.393735i \(-0.128817\pi\)
−0.992939 + 0.118628i \(0.962150\pi\)
\(230\) 34.6347i 2.28375i
\(231\) 1.02042 + 2.70568i 0.0671388 + 0.178021i
\(232\) 1.21102 1.21102i 0.0795072 0.0795072i
\(233\) −19.0080 −1.24526 −0.622628 0.782518i \(-0.713935\pi\)
−0.622628 + 0.782518i \(0.713935\pi\)
\(234\) −10.2100 + 6.17868i −0.667451 + 0.403913i
\(235\) 42.0686 2.74425
\(236\) −1.55654 + 1.55654i −0.101322 + 0.101322i
\(237\) −8.22300 1.35196i −0.534141 0.0878189i
\(238\) 1.58943i 0.103028i
\(239\) −1.88583 7.03800i −0.121984 0.455250i 0.877730 0.479155i \(-0.159057\pi\)
−0.999714 + 0.0239047i \(0.992390\pi\)
\(240\) 12.5843 + 5.69169i 0.812312 + 0.367397i
\(241\) −1.63335 6.09573i −0.105213 0.392661i 0.893156 0.449747i \(-0.148486\pi\)
−0.998369 + 0.0570861i \(0.981819\pi\)
\(242\) 6.40713 + 6.40713i 0.411866 + 0.411866i
\(243\) −4.47501 + 14.9323i −0.287072 + 0.957909i
\(244\) −5.78039 3.33731i −0.370052 0.213649i
\(245\) −3.09490 3.09490i −0.197726 0.197726i
\(246\) 1.00182 6.09339i 0.0638739 0.388500i
\(247\) 11.7382 + 9.90075i 0.746886 + 0.629970i
\(248\) −4.04442 2.33505i −0.256821 0.148276i
\(249\) 5.78346 4.15025i 0.366512 0.263011i
\(250\) 44.2182 2.79660
\(251\) −2.63081 4.55670i −0.166055 0.287617i 0.770974 0.636866i \(-0.219770\pi\)
−0.937030 + 0.349250i \(0.886436\pi\)
\(252\) 1.04140 + 2.10462i 0.0656020 + 0.132579i
\(253\) −3.09918 + 11.5663i −0.194844 + 0.727166i
\(254\) 3.46900 0.929515i 0.217664 0.0583230i
\(255\) 1.07776 + 10.8679i 0.0674919 + 0.680574i
\(256\) −15.5328 −0.970801
\(257\) 6.50804 + 11.2723i 0.405961 + 0.703144i 0.994433 0.105373i \(-0.0336037\pi\)
−0.588472 + 0.808517i \(0.700270\pi\)
\(258\) 5.36136 11.8539i 0.333784 0.737994i
\(259\) 6.54852 3.78079i 0.406905 0.234927i
\(260\) 2.17600 12.1590i 0.134950 0.754070i
\(261\) 1.64089 0.328683i 0.101569 0.0203450i
\(262\) 19.3130 5.17491i 1.19316 0.319707i
\(263\) 15.6125i 0.962710i −0.876526 0.481355i \(-0.840145\pi\)
0.876526 0.481355i \(-0.159855\pi\)
\(264\) −6.86663 5.62759i −0.422612 0.346354i
\(265\) −57.3516 + 15.3673i −3.52308 + 0.944006i
\(266\) −3.32269 + 3.32269i −0.203727 + 0.203727i
\(267\) 3.38687 7.48834i 0.207273 0.458279i
\(268\) −1.23850 0.331854i −0.0756533 0.0202712i
\(269\) −5.76388 + 3.32778i −0.351430 + 0.202898i −0.665315 0.746563i \(-0.731703\pi\)
0.313885 + 0.949461i \(0.398369\pi\)
\(270\) 13.2932 + 21.2816i 0.809000 + 1.29516i
\(271\) 4.26855 + 15.9304i 0.259296 + 0.967705i 0.965650 + 0.259847i \(0.0836720\pi\)
−0.706354 + 0.707859i \(0.749661\pi\)
\(272\) 1.31232 + 2.27300i 0.0795709 + 0.137821i
\(273\) −4.74752 + 4.05722i −0.287333 + 0.245554i
\(274\) −9.56611 + 16.5690i −0.577910 + 1.00097i
\(275\) −22.8299 6.11725i −1.37669 0.368884i
\(276\) −1.57749 + 9.59479i −0.0949539 + 0.577538i
\(277\) −1.76875 1.02119i −0.106274 0.0613574i 0.445921 0.895072i \(-0.352876\pi\)
−0.552195 + 0.833715i \(0.686210\pi\)
\(278\) −4.68922 + 4.68922i −0.281241 + 0.281241i
\(279\) −2.02380 4.09002i −0.121162 0.244863i
\(280\) 12.9799 + 3.47794i 0.775695 + 0.207847i
\(281\) −0.0834589 + 0.311473i −0.00497874 + 0.0185809i −0.968371 0.249517i \(-0.919728\pi\)
0.963392 + 0.268098i \(0.0863949\pi\)
\(282\) 18.1242 + 2.97983i 1.07928 + 0.177446i
\(283\) 27.0329 15.6075i 1.60694 0.927767i 0.616890 0.787049i \(-0.288392\pi\)
0.990050 0.140718i \(-0.0449410\pi\)
\(284\) −2.78068 + 10.3776i −0.165003 + 0.615799i
\(285\) 20.4661 24.9722i 1.21231 1.47923i
\(286\) 2.82214 6.01196i 0.166877 0.355495i
\(287\) 3.23144i 0.190746i
\(288\) −10.3119 6.87016i −0.607632 0.404828i
\(289\) 7.46231 12.9251i 0.438960 0.760300i
\(290\) 1.34687 2.33285i 0.0790911 0.136990i
\(291\) 8.68785 19.2088i 0.509291 1.12604i
\(292\) −4.09918 4.09918i −0.239886 0.239886i
\(293\) −0.715671 0.715671i −0.0418099 0.0418099i 0.685893 0.727703i \(-0.259412\pi\)
−0.727703 + 0.685893i \(0.759412\pi\)
\(294\) −1.11414 1.55258i −0.0649780 0.0905484i
\(295\) −6.15455 + 10.6600i −0.358332 + 0.620649i
\(296\) −11.6077 + 20.1052i −0.674685 + 1.16859i
\(297\) −2.53496 8.29650i −0.147094 0.481411i
\(298\) 24.6823i 1.42981i
\(299\) −25.7672 + 2.18803i −1.49016 + 0.126537i
\(300\) −18.9385 3.11370i −1.09341 0.179770i
\(301\) 1.76205 6.57607i 0.101563 0.379038i
\(302\) 0.625496 0.361131i 0.0359933 0.0207807i
\(303\) 3.59126 4.38196i 0.206313 0.251737i
\(304\) 2.00829 7.49505i 0.115184 0.429871i
\(305\) −36.0514 9.65994i −2.06430 0.553126i
\(306\) −0.305475 + 4.75850i −0.0174629 + 0.272025i
\(307\) 6.30755 6.30755i 0.359991 0.359991i −0.503819 0.863809i \(-0.668072\pi\)
0.863809 + 0.503819i \(0.168072\pi\)
\(308\) −1.13171 0.653393i −0.0644852 0.0372305i
\(309\) 17.1689 6.47508i 0.976706 0.368355i
\(310\) −7.09513 1.90114i −0.402977 0.107977i
\(311\) −8.36033 + 14.4805i −0.474071 + 0.821115i −0.999559 0.0296861i \(-0.990549\pi\)
0.525489 + 0.850801i \(0.323883\pi\)
\(312\) 6.39479 18.0755i 0.362033 1.02332i
\(313\) 3.57212 + 6.18710i 0.201908 + 0.349716i 0.949143 0.314844i \(-0.101952\pi\)
−0.747235 + 0.664560i \(0.768619\pi\)
\(314\) 2.12649 + 7.93617i 0.120005 + 0.447864i
\(315\) 8.67082 + 9.86045i 0.488545 + 0.555573i
\(316\) 3.26139 1.88296i 0.183467 0.105925i
\(317\) 14.9913 + 4.01692i 0.841998 + 0.225613i 0.653941 0.756545i \(-0.273114\pi\)
0.188057 + 0.982158i \(0.439781\pi\)
\(318\) −25.7970 + 2.55826i −1.44662 + 0.143460i
\(319\) −0.658536 + 0.658536i −0.0368710 + 0.0368710i
\(320\) −34.6703 + 9.28987i −1.93813 + 0.519320i
\(321\) 7.17270 2.70511i 0.400341 0.150984i
\(322\) 7.91316i 0.440983i
\(323\) 5.92655 1.58802i 0.329762 0.0883595i
\(324\) −2.71329 6.50105i −0.150738 0.361170i
\(325\) −4.31881 50.8601i −0.239564 2.82121i
\(326\) −13.1940 + 7.61755i −0.730747 + 0.421897i
\(327\) 13.2214 1.31115i 0.731143 0.0725067i
\(328\) 4.96056 + 8.59194i 0.273901 + 0.474411i
\(329\) 9.61162 0.529906
\(330\) −12.7232 5.75451i −0.700388 0.316776i
\(331\) 9.67411 2.59217i 0.531737 0.142479i 0.0170469 0.999855i \(-0.494574\pi\)
0.514690 + 0.857376i \(0.327907\pi\)
\(332\) −0.832596 + 3.10729i −0.0456947 + 0.170535i
\(333\) −20.3318 + 10.0605i −1.11418 + 0.551312i
\(334\) −10.6480 18.4429i −0.582635 1.00915i
\(335\) −7.16973 −0.391724
\(336\) 2.87519 + 1.30041i 0.156854 + 0.0709430i
\(337\) −22.4686 12.9723i −1.22395 0.706645i −0.258188 0.966095i \(-0.583126\pi\)
−0.965757 + 0.259449i \(0.916459\pi\)
\(338\) 14.2818 + 1.32304i 0.776825 + 0.0719641i
\(339\) 4.32465 + 3.54429i 0.234883 + 0.192500i
\(340\) −3.48984 3.48984i −0.189263 0.189263i
\(341\) 2.19931 + 1.26977i 0.119099 + 0.0687619i
\(342\) 10.5862 9.30899i 0.572435 0.503372i
\(343\) −0.707107 0.707107i −0.0381802 0.0381802i
\(344\) 5.40983 + 20.1897i 0.291678 + 1.08856i
\(345\) 5.36574 + 54.1070i 0.288882 + 2.91302i
\(346\) −0.523282 1.95292i −0.0281318 0.104989i
\(347\) 16.4392i 0.882504i −0.897383 0.441252i \(-0.854535\pi\)
0.897383 0.441252i \(-0.145465\pi\)
\(348\) −0.479375 + 0.584920i −0.0256972 + 0.0313550i
\(349\) 23.8030 23.8030i 1.27414 1.27414i 0.330252 0.943893i \(-0.392866\pi\)
0.943893 0.330252i \(-0.107134\pi\)
\(350\) 15.6192 0.834884
\(351\) 14.9931 11.2342i 0.800271 0.599638i
\(352\) 6.89563 0.367538
\(353\) −14.3618 + 14.3618i −0.764401 + 0.764401i −0.977115 0.212713i \(-0.931770\pi\)
0.212713 + 0.977115i \(0.431770\pi\)
\(354\) −3.40661 + 4.15665i −0.181059 + 0.220924i
\(355\) 60.0767i 3.18854i
\(356\) 0.961271 + 3.58751i 0.0509473 + 0.190138i
\(357\) 0.246241 + 2.48304i 0.0130324 + 0.131416i
\(358\) 2.05276 + 7.66100i 0.108492 + 0.404896i
\(359\) −14.0276 14.0276i −0.740351 0.740351i 0.232294 0.972646i \(-0.425377\pi\)
−0.972646 + 0.232294i \(0.925377\pi\)
\(360\) −38.1912 12.9070i −2.01285 0.680260i
\(361\) 0.745383 + 0.430347i 0.0392307 + 0.0226499i
\(362\) 17.2073 + 17.2073i 0.904397 + 0.904397i
\(363\) −11.0019 9.01671i −0.577452 0.473255i
\(364\) 0.497161 2.77803i 0.0260583 0.145608i
\(365\) −28.0733 16.2082i −1.46943 0.848373i
\(366\) −14.8476 6.71535i −0.776096 0.351017i
\(367\) 11.3854 0.594313 0.297157 0.954829i \(-0.403962\pi\)
0.297157 + 0.954829i \(0.403962\pi\)
\(368\) 6.53351 + 11.3164i 0.340583 + 0.589907i
\(369\) −0.621056 + 9.67441i −0.0323309 + 0.503629i
\(370\) −9.45071 + 35.2705i −0.491319 + 1.83363i
\(371\) −13.1034 + 3.51104i −0.680294 + 0.182284i
\(372\) 1.87896 + 0.849827i 0.0974195 + 0.0440615i
\(373\) 33.3863 1.72868 0.864338 0.502911i \(-0.167738\pi\)
0.864338 + 0.502911i \(0.167738\pi\)
\(374\) −1.32680 2.29809i −0.0686073 0.118831i
\(375\) −69.0785 + 6.85044i −3.56720 + 0.353755i
\(376\) −25.5559 + 14.7547i −1.31795 + 0.760917i
\(377\) −1.82066 0.854657i −0.0937688 0.0440171i
\(378\) 3.03716 + 4.86230i 0.156215 + 0.250090i
\(379\) 29.9746 8.03166i 1.53969 0.412559i 0.613524 0.789676i \(-0.289751\pi\)
0.926165 + 0.377118i \(0.123085\pi\)
\(380\) 14.5909i 0.748498i
\(381\) −5.27533 + 1.98953i −0.270263 + 0.101927i
\(382\) −20.4604 + 5.48236i −1.04685 + 0.280502i
\(383\) −13.5403 + 13.5403i −0.691878 + 0.691878i −0.962645 0.270767i \(-0.912723\pi\)
0.270767 + 0.962645i \(0.412723\pi\)
\(384\) −1.35696 + 0.134568i −0.0692469 + 0.00686715i
\(385\) −7.05829 1.89126i −0.359724 0.0963877i
\(386\) −9.24314 + 5.33653i −0.470464 + 0.271622i
\(387\) −6.53916 + 19.3490i −0.332404 + 0.983566i
\(388\) 2.46581 + 9.20254i 0.125183 + 0.467188i
\(389\) −8.66010 14.9997i −0.439084 0.760516i 0.558535 0.829481i \(-0.311364\pi\)
−0.997619 + 0.0689647i \(0.978030\pi\)
\(390\) 2.35712 30.0647i 0.119357 1.52239i
\(391\) −5.16623 + 8.94818i −0.261268 + 0.452529i
\(392\) 2.96557 + 0.794622i 0.149784 + 0.0401345i
\(393\) −29.3694 + 11.0764i −1.48149 + 0.558729i
\(394\) −9.21712 5.32151i −0.464352 0.268094i
\(395\) 14.8905 14.8905i 0.749221 0.749221i
\(396\) 3.26258 + 2.17366i 0.163951 + 0.109230i
\(397\) −6.59114 1.76609i −0.330800 0.0886376i 0.0895964 0.995978i \(-0.471442\pi\)
−0.420396 + 0.907341i \(0.638109\pi\)
\(398\) 3.53738 13.2017i 0.177313 0.661741i
\(399\) 4.67600 5.70552i 0.234093 0.285633i
\(400\) −22.3366 + 12.8960i −1.11683 + 0.644802i
\(401\) −0.236676 + 0.883286i −0.0118190 + 0.0441092i −0.971584 0.236697i \(-0.923935\pi\)
0.959765 + 0.280806i \(0.0906018\pi\)
\(402\) −3.08890 0.507850i −0.154060 0.0253293i
\(403\) −0.966157 + 5.39867i −0.0481277 + 0.268927i
\(404\) 2.56032i 0.127381i
\(405\) −24.0639 31.1870i −1.19575 1.54970i
\(406\) 0.307726 0.532998i 0.0152722 0.0264522i
\(407\) 6.31214 10.9329i 0.312881 0.541926i
\(408\) −4.46641 6.22405i −0.221120 0.308136i
\(409\) 2.49347 + 2.49347i 0.123294 + 0.123294i 0.766062 0.642767i \(-0.222214\pi\)
−0.642767 + 0.766062i \(0.722214\pi\)
\(410\) 11.0341 + 11.0341i 0.544935 + 0.544935i
\(411\) 12.3774 27.3664i 0.610533 1.34988i
\(412\) −4.14611 + 7.18127i −0.204264 + 0.353796i
\(413\) −1.40616 + 2.43554i −0.0691926 + 0.119845i
\(414\) −1.52084 + 23.6907i −0.0747453 + 1.16434i
\(415\) 17.9883i 0.883010i
\(416\) 5.05759 + 14.0068i 0.247969 + 0.686741i
\(417\) 6.59911 8.05205i 0.323160 0.394311i
\(418\) −2.03046 + 7.57778i −0.0993131 + 0.370641i
\(419\) 17.0476 9.84243i 0.832830 0.480834i −0.0219910 0.999758i \(-0.507001\pi\)
0.854820 + 0.518924i \(0.173667\pi\)
\(420\) −5.85519 0.962660i −0.285704 0.0469730i
\(421\) 5.47970 20.4505i 0.267064 0.996698i −0.693910 0.720061i \(-0.744114\pi\)
0.960975 0.276636i \(-0.0892197\pi\)
\(422\) 0.471433 + 0.126320i 0.0229490 + 0.00614917i
\(423\) −28.7756 1.84727i −1.39912 0.0898174i
\(424\) 29.4503 29.4503i 1.43023 1.43023i
\(425\) −17.6622 10.1973i −0.856743 0.494641i
\(426\) −4.25538 + 25.8825i −0.206174 + 1.25401i
\(427\) −8.23683 2.20705i −0.398608 0.106807i
\(428\) −1.73213 + 3.00013i −0.0837256 + 0.145017i
\(429\) −3.47741 + 9.82921i −0.167891 + 0.474559i
\(430\) 16.4380 + 28.4714i 0.792709 + 1.37301i
\(431\) −1.75651 6.55539i −0.0846081 0.315762i 0.910632 0.413219i \(-0.135596\pi\)
−0.995240 + 0.0974574i \(0.968929\pi\)
\(432\) −8.35792 4.44579i −0.402121 0.213898i
\(433\) −18.1914 + 10.5028i −0.874222 + 0.504732i −0.868749 0.495253i \(-0.835075\pi\)
−0.00547279 + 0.999985i \(0.501742\pi\)
\(434\) −1.62106 0.434361i −0.0778133 0.0208500i
\(435\) −1.74269 + 3.85308i −0.0835558 + 0.184741i
\(436\) −4.24557 + 4.24557i −0.203326 + 0.203326i
\(437\) 29.5060 7.90611i 1.41146 0.378200i
\(438\) −10.9466 8.97138i −0.523050 0.428669i
\(439\) 6.33990i 0.302587i −0.988489 0.151293i \(-0.951656\pi\)
0.988489 0.151293i \(-0.0483438\pi\)
\(440\) 21.6703 5.80653i 1.03309 0.276816i
\(441\) 1.98106 + 2.25286i 0.0943363 + 0.107279i
\(442\) 3.69488 4.38061i 0.175747 0.208364i
\(443\) −6.12738 + 3.53764i −0.291120 + 0.168078i −0.638447 0.769666i \(-0.720423\pi\)
0.347327 + 0.937744i \(0.387090\pi\)
\(444\) 4.22456 9.34047i 0.200489 0.443279i
\(445\) 10.3842 + 17.9859i 0.492256 + 0.852613i
\(446\) 12.8357 0.607786
\(447\) −3.82387 38.5591i −0.180863 1.82378i
\(448\) −7.92128 + 2.12250i −0.374245 + 0.100279i
\(449\) −5.35701 + 19.9927i −0.252813 + 0.943512i 0.716481 + 0.697607i \(0.245752\pi\)
−0.969294 + 0.245905i \(0.920915\pi\)
\(450\) −46.7615 3.00189i −2.20436 0.141510i
\(451\) −2.69749 4.67219i −0.127020 0.220005i
\(452\) −2.52683 −0.118852
\(453\) −0.921214 + 0.661069i −0.0432824 + 0.0310597i
\(454\) −16.6965 9.63974i −0.783606 0.452415i
\(455\) −1.33524 15.7244i −0.0625971 0.737170i
\(456\) −3.67431 + 22.3483i −0.172065 + 1.04655i
\(457\) −8.15159 8.15159i −0.381315 0.381315i 0.490261 0.871576i \(-0.336902\pi\)
−0.871576 + 0.490261i \(0.836902\pi\)
\(458\) 4.11813 + 2.37760i 0.192428 + 0.111098i
\(459\) −0.259985 7.48114i −0.0121351 0.349190i
\(460\) −17.3745 17.3745i −0.810092 0.810092i
\(461\) −4.12987 15.4129i −0.192347 0.717850i −0.992938 0.118638i \(-0.962147\pi\)
0.800590 0.599212i \(-0.204519\pi\)
\(462\) −2.90693 1.31476i −0.135242 0.0611682i
\(463\) 8.01126 + 29.8984i 0.372315 + 1.38950i 0.857229 + 0.514936i \(0.172184\pi\)
−0.484914 + 0.874562i \(0.661149\pi\)
\(464\) 1.01630i 0.0471805i
\(465\) 11.3787 + 1.87078i 0.527673 + 0.0867555i
\(466\) 14.8291 14.8291i 0.686946 0.686946i
\(467\) −38.1491 −1.76533 −0.882665 0.470003i \(-0.844253\pi\)
−0.882665 + 0.470003i \(0.844253\pi\)
\(468\) −2.02233 + 8.22141i −0.0934824 + 0.380035i
\(469\) −1.63810 −0.0756405
\(470\) −32.8199 + 32.8199i −1.51387 + 1.51387i
\(471\) −4.55154 12.0686i −0.209724 0.556091i
\(472\) 8.63434i 0.397428i
\(473\) −2.94180 10.9789i −0.135264 0.504812i
\(474\) 7.46992 5.36046i 0.343105 0.246214i
\(475\) 15.6053 + 58.2398i 0.716021 + 2.67223i
\(476\) −0.797340 0.797340i −0.0365460 0.0365460i
\(477\) 39.9042 7.99313i 1.82709 0.365980i
\(478\) 6.96194 + 4.01948i 0.318432 + 0.183847i
\(479\) −27.1801 27.1801i −1.24189 1.24189i −0.959215 0.282676i \(-0.908778\pi\)
−0.282676 0.959215i \(-0.591222\pi\)
\(480\) 29.2971 11.0491i 1.33722 0.504320i
\(481\) 26.8373 + 4.80285i 1.22367 + 0.218991i
\(482\) 6.02985 + 3.48134i 0.274652 + 0.158571i
\(483\) 1.22594 + 12.3621i 0.0557820 + 0.562494i
\(484\) 6.42828 0.292195
\(485\) 26.6370 + 46.1366i 1.20952 + 2.09496i
\(486\) −8.15828 15.1407i −0.370067 0.686794i
\(487\) −10.4051 + 38.8325i −0.471501 + 1.75967i 0.162880 + 0.986646i \(0.447922\pi\)
−0.634381 + 0.773020i \(0.718745\pi\)
\(488\) 25.2886 6.77606i 1.14476 0.306738i
\(489\) 19.4317 13.9443i 0.878734 0.630585i
\(490\) 4.82898 0.218151
\(491\) 0.646394 + 1.11959i 0.0291713 + 0.0505262i 0.880243 0.474524i \(-0.157380\pi\)
−0.851071 + 0.525050i \(0.824046\pi\)
\(492\) −2.55419 3.55932i −0.115152 0.160466i
\(493\) −0.695952 + 0.401808i −0.0313441 + 0.0180965i
\(494\) −16.8817 + 1.43351i −0.759543 + 0.0644969i
\(495\) 20.7679 + 7.01868i 0.933448 + 0.315466i
\(496\) 2.67686 0.717262i 0.120194 0.0322060i
\(497\) 13.7260i 0.615695i
\(498\) −1.27416 + 7.74980i −0.0570963 + 0.347277i
\(499\) −12.8141 + 3.43352i −0.573636 + 0.153705i −0.533964 0.845507i \(-0.679298\pi\)
−0.0396724 + 0.999213i \(0.512631\pi\)
\(500\) 22.1821 22.1821i 0.992014 0.992014i
\(501\) 19.4918 + 27.1623i 0.870829 + 1.21352i
\(502\) 5.60735 + 1.50249i 0.250268 + 0.0670592i
\(503\) −0.471803 + 0.272396i −0.0210367 + 0.0121455i −0.510481 0.859889i \(-0.670533\pi\)
0.489445 + 0.872034i \(0.337199\pi\)
\(504\) −8.72572 2.94893i −0.388674 0.131356i
\(505\) 3.70546 + 13.8289i 0.164891 + 0.615380i
\(506\) −6.60563 11.4413i −0.293656 0.508627i
\(507\) −22.5162 + 0.145698i −0.999979 + 0.00647069i
\(508\) 1.27393 2.20652i 0.0565217 0.0978984i
\(509\) −5.18721 1.38991i −0.229919 0.0616066i 0.142020 0.989864i \(-0.454640\pi\)
−0.371939 + 0.928257i \(0.621307\pi\)
\(510\) −9.31942 7.63779i −0.412671 0.338207i
\(511\) −6.41405 3.70315i −0.283741 0.163818i
\(512\) 13.2313 13.2313i 0.584748 0.584748i
\(513\) −15.0957 + 16.1827i −0.666493 + 0.714484i
\(514\) −13.8713 3.71681i −0.611838 0.163942i
\(515\) −12.0010 + 44.7884i −0.528828 + 1.97361i
\(516\) −3.25700 8.63607i −0.143382 0.380182i
\(517\) 13.8970 8.02344i 0.611190 0.352870i
\(518\) −2.15925 + 8.05842i −0.0948719 + 0.354067i
\(519\) 1.12003 + 2.96981i 0.0491640 + 0.130360i
\(520\) 27.6886 + 39.7592i 1.21422 + 1.74355i
\(521\) 23.4521i 1.02746i 0.857953 + 0.513728i \(0.171736\pi\)
−0.857953 + 0.513728i \(0.828264\pi\)
\(522\) −1.02372 + 1.53657i −0.0448070 + 0.0672537i
\(523\) −11.6560 + 20.1888i −0.509682 + 0.882795i 0.490255 + 0.871579i \(0.336904\pi\)
−0.999937 + 0.0112161i \(0.996430\pi\)
\(524\) 7.09240 12.2844i 0.309833 0.536646i
\(525\) −24.4007 + 2.41979i −1.06493 + 0.105608i
\(526\) 12.1801 + 12.1801i 0.531079 + 0.531079i
\(527\) 1.54951 + 1.54951i 0.0674977 + 0.0674977i
\(528\) 5.24264 0.519907i 0.228157 0.0226261i
\(529\) −14.2207 + 24.6309i −0.618289 + 1.07091i
\(530\) 32.7541 56.7317i 1.42275 2.46427i
\(531\) 4.67790 7.02136i 0.203004 0.304701i
\(532\) 3.33366i 0.144532i
\(533\) 7.51197 8.90612i 0.325380 0.385767i
\(534\) 3.19977 + 8.48430i 0.138467 + 0.367152i
\(535\) −5.01369 + 18.7113i −0.216761 + 0.808962i
\(536\) 4.35548 2.51464i 0.188128 0.108616i
\(537\) −4.39373 11.6501i −0.189603 0.502740i
\(538\) 1.90053 7.09288i 0.0819377 0.305796i
\(539\) −1.61264 0.432106i −0.0694614 0.0186121i
\(540\) 17.3445 + 4.00737i 0.746388 + 0.172450i
\(541\) −22.7830 + 22.7830i −0.979516 + 0.979516i −0.999794 0.0202784i \(-0.993545\pi\)
0.0202784 + 0.999794i \(0.493545\pi\)
\(542\) −15.7583 9.09804i −0.676876 0.390794i
\(543\) −29.5474 24.2158i −1.26800 1.03920i
\(544\) 5.74741 + 1.54001i 0.246418 + 0.0660275i
\(545\) −16.7870 + 29.0759i −0.719075 + 1.24548i
\(546\) 0.538542 6.86903i 0.0230475 0.293967i
\(547\) −7.49651 12.9843i −0.320528 0.555170i 0.660069 0.751205i \(-0.270527\pi\)
−0.980597 + 0.196035i \(0.937194\pi\)
\(548\) 3.51300 + 13.1107i 0.150068 + 0.560061i
\(549\) 24.2355 + 8.19060i 1.03435 + 0.349566i
\(550\) 22.5832 13.0384i 0.962949 0.555959i
\(551\) 2.29485 + 0.614904i 0.0977640 + 0.0261958i
\(552\) −22.2365 30.9871i −0.946449 1.31890i
\(553\) 3.40210 3.40210i 0.144672 0.144672i
\(554\) 2.17658 0.583213i 0.0924740 0.0247783i
\(555\) 9.29983 56.5644i 0.394756 2.40102i
\(556\) 4.70470i 0.199524i
\(557\) 35.4227 9.49148i 1.50091 0.402167i 0.587503 0.809222i \(-0.300111\pi\)
0.913404 + 0.407055i \(0.133444\pi\)
\(558\) 4.76971 + 1.61196i 0.201918 + 0.0682398i
\(559\) 20.1434 14.0280i 0.851976 0.593323i
\(560\) −6.90578 + 3.98706i −0.291823 + 0.168484i
\(561\) 2.42878 + 3.38456i 0.102543 + 0.142896i
\(562\) −0.177885 0.308107i −0.00750364 0.0129967i
\(563\) −34.7041 −1.46260 −0.731302 0.682053i \(-0.761087\pi\)
−0.731302 + 0.682053i \(0.761087\pi\)
\(564\) 10.5869 7.59720i 0.445787 0.319900i
\(565\) −13.6481 + 3.65699i −0.574179 + 0.153851i
\(566\) −8.91358 + 33.2659i −0.374666 + 1.39827i
\(567\) −5.49800 7.12545i −0.230894 0.299241i
\(568\) −21.0707 36.4955i −0.884106 1.53132i
\(569\) −1.07809 −0.0451958 −0.0225979 0.999745i \(-0.507194\pi\)
−0.0225979 + 0.999745i \(0.507194\pi\)
\(570\) 3.51542 + 35.4488i 0.147245 + 1.48479i
\(571\) 22.8151 + 13.1723i 0.954784 + 0.551245i 0.894564 0.446940i \(-0.147486\pi\)
0.0602200 + 0.998185i \(0.480820\pi\)
\(572\) −1.60018 4.43164i −0.0669068 0.185296i
\(573\) 31.1143 11.7344i 1.29982 0.490214i
\(574\) 2.52101 + 2.52101i 0.105225 + 0.105225i
\(575\) −87.9332 50.7682i −3.66707 2.11718i
\(576\) 24.1230 4.83202i 1.00512 0.201334i
\(577\) −6.14203 6.14203i −0.255696 0.255696i 0.567605 0.823301i \(-0.307870\pi\)
−0.823301 + 0.567605i \(0.807870\pi\)
\(578\) 4.26181 + 15.9053i 0.177268 + 0.661572i
\(579\) 13.6130 9.76880i 0.565739 0.405978i
\(580\) −0.494617 1.84594i −0.0205379 0.0766484i
\(581\) 4.10987i 0.170506i
\(582\) 8.20791 + 21.7636i 0.340229 + 0.902129i
\(583\) −16.0147 + 16.0147i −0.663261 + 0.663261i
\(584\) 22.7387 0.940935
\(585\) 0.975403 + 47.3328i 0.0403279 + 1.95697i
\(586\) 1.11666 0.0461289
\(587\) 1.94818 1.94818i 0.0804101 0.0804101i −0.665758 0.746168i \(-0.731892\pi\)
0.746168 + 0.665758i \(0.231892\pi\)
\(588\) −1.33776 0.219944i −0.0551684 0.00907032i
\(589\) 6.47845i 0.266940i
\(590\) −3.51493 13.1179i −0.144707 0.540055i
\(591\) 15.2236 + 6.88541i 0.626214 + 0.283228i
\(592\) −3.56557 13.3069i −0.146544 0.546910i
\(593\) 25.0827 + 25.0827i 1.03002 + 1.03002i 0.999535 + 0.0304872i \(0.00970587\pi\)
0.0304872 + 0.999535i \(0.490294\pi\)
\(594\) 8.45018 + 4.49487i 0.346715 + 0.184427i
\(595\) −5.46060 3.15268i −0.223863 0.129247i
\(596\) 12.3819 + 12.3819i 0.507182 + 0.507182i
\(597\) −3.48091 + 21.1719i −0.142464 + 0.866510i
\(598\) 18.3953 21.8093i 0.752241 0.891850i
\(599\) 27.7347 + 16.0127i 1.13321 + 0.654260i 0.944740 0.327819i \(-0.106314\pi\)
0.188471 + 0.982079i \(0.439647\pi\)
\(600\) 61.1633 43.8912i 2.49698 1.79185i
\(601\) 9.46520 0.386094 0.193047 0.981190i \(-0.438163\pi\)
0.193047 + 0.981190i \(0.438163\pi\)
\(602\) 3.75566 + 6.50500i 0.153069 + 0.265124i
\(603\) 4.90421 + 0.314829i 0.199715 + 0.0128208i
\(604\) 0.132619 0.494942i 0.00539621 0.0201389i
\(605\) 34.7208 9.30342i 1.41160 0.378238i
\(606\) 0.616863 + 6.22032i 0.0250584 + 0.252683i
\(607\) 2.01107 0.0816268 0.0408134 0.999167i \(-0.487005\pi\)
0.0408134 + 0.999167i \(0.487005\pi\)
\(608\) −8.79550 15.2342i −0.356705 0.617830i
\(609\) −0.398162 + 0.880332i −0.0161343 + 0.0356729i
\(610\) 35.6617 20.5893i 1.44390 0.833637i
\(611\) 26.4904 + 22.3437i 1.07169 + 0.903928i
\(612\) 2.23386 + 2.54035i 0.0902986 + 0.102688i
\(613\) −7.49754 + 2.00896i −0.302823 + 0.0811412i −0.407031 0.913414i \(-0.633436\pi\)
0.104208 + 0.994556i \(0.466769\pi\)
\(614\) 9.84169i 0.397178i
\(615\) −18.9471 15.5282i −0.764021 0.626158i
\(616\) 4.95111 1.32665i 0.199486 0.0534521i
\(617\) −8.28302 + 8.28302i −0.333462 + 0.333462i −0.853900 0.520438i \(-0.825769\pi\)
0.520438 + 0.853900i \(0.325769\pi\)
\(618\) −8.34282 + 18.4459i −0.335597 + 0.742003i
\(619\) −43.3980 11.6285i −1.74431 0.467387i −0.760915 0.648852i \(-0.775250\pi\)
−0.983397 + 0.181465i \(0.941916\pi\)
\(620\) −4.51299 + 2.60557i −0.181246 + 0.104642i
\(621\) −1.29436 37.2457i −0.0519410 1.49462i
\(622\) −4.77467 17.8193i −0.191447 0.714490i
\(623\) 2.37252 + 4.10932i 0.0950529 + 0.164636i
\(624\) 4.90127 + 10.2678i 0.196208 + 0.411043i
\(625\) 52.3159 90.6137i 2.09263 3.62455i
\(626\) −7.61367 2.04008i −0.304304 0.0815379i
\(627\) 1.99804 12.1527i 0.0797942 0.485333i
\(628\) 5.04795 + 2.91443i 0.201435 + 0.116299i
\(629\) 7.70274 7.70274i 0.307128 0.307128i
\(630\) −14.4572 0.928090i −0.575988 0.0369760i
\(631\) 4.38587 + 1.17519i 0.174599 + 0.0467836i 0.345059 0.938581i \(-0.387859\pi\)
−0.170460 + 0.985365i \(0.554525\pi\)
\(632\) −3.82316 + 14.2682i −0.152077 + 0.567559i
\(633\) −0.756051 0.124303i −0.0300503 0.00494062i
\(634\) −14.8293 + 8.56172i −0.588948 + 0.340029i
\(635\) 3.68743 13.7617i 0.146331 0.546116i
\(636\) −11.6577 + 14.2244i −0.462259 + 0.564036i
\(637\) −0.305069 3.59262i −0.0120873 0.142345i
\(638\) 1.02752i 0.0406798i
\(639\) 2.63802 41.0934i 0.104359 1.62563i
\(640\) 1.72291 2.98417i 0.0681040 0.117960i
\(641\) 12.1243 20.9998i 0.478879 0.829444i −0.520827 0.853662i \(-0.674376\pi\)
0.999707 + 0.0242185i \(0.00770975\pi\)
\(642\) −3.48540 + 7.70618i −0.137558 + 0.304139i
\(643\) 4.67923 + 4.67923i 0.184531 + 0.184531i 0.793327 0.608796i \(-0.208347\pi\)
−0.608796 + 0.793327i \(0.708347\pi\)
\(644\) −3.96964 3.96964i −0.156426 0.156426i
\(645\) −30.0906 41.9319i −1.18482 1.65107i
\(646\) −3.38472 + 5.86250i −0.133170 + 0.230657i
\(647\) −13.6611 + 23.6617i −0.537073 + 0.930237i 0.461987 + 0.886887i \(0.347137\pi\)
−0.999060 + 0.0433505i \(0.986197\pi\)
\(648\) 25.5566 + 10.5056i 1.00396 + 0.412700i
\(649\) 4.69525i 0.184305i
\(650\) 43.0479 + 36.3093i 1.68848 + 1.42417i
\(651\) 2.59974 + 0.427427i 0.101892 + 0.0167522i
\(652\) −2.79742 + 10.4401i −0.109556 + 0.408867i
\(653\) −22.1498 + 12.7882i −0.866791 + 0.500442i −0.866280 0.499558i \(-0.833496\pi\)
−0.000510151 1.00000i \(0.500162\pi\)
\(654\) −9.29177 + 11.3376i −0.363337 + 0.443334i
\(655\) 20.5291 76.6157i 0.802139 2.99363i
\(656\) −5.68670 1.52375i −0.222028 0.0594923i
\(657\) 18.4909 + 12.3194i 0.721399 + 0.480624i
\(658\) −7.49852 + 7.49852i −0.292323 + 0.292323i
\(659\) 18.1386 + 10.4723i 0.706579 + 0.407944i 0.809793 0.586716i \(-0.199579\pi\)
−0.103214 + 0.994659i \(0.532913\pi\)
\(660\) −9.26935 + 3.49584i −0.360809 + 0.136075i
\(661\) −37.5013 10.0485i −1.45863 0.390840i −0.559615 0.828752i \(-0.689051\pi\)
−0.899017 + 0.437913i \(0.855718\pi\)
\(662\) −5.52499 + 9.56956i −0.214735 + 0.371931i
\(663\) −5.09354 + 7.41589i −0.197817 + 0.288009i
\(664\) −6.30903 10.9276i −0.244838 0.424071i
\(665\) 4.82468 + 18.0059i 0.187093 + 0.698241i
\(666\) 8.01320 23.7106i 0.310505 0.918768i
\(667\) −3.46487 + 2.00045i −0.134160 + 0.0774576i
\(668\) −14.5935 3.91032i −0.564640 0.151295i
\(669\) −20.0521 + 1.98855i −0.775259 + 0.0768817i
\(670\) 5.59347 5.59347i 0.216095 0.216095i
\(671\) −13.7516 + 3.68474i −0.530876 + 0.142248i
\(672\) 6.69365 2.52444i 0.258213 0.0973824i
\(673\) 21.9467i 0.845981i −0.906134 0.422991i \(-0.860980\pi\)
0.906134 0.422991i \(-0.139020\pi\)
\(674\) 27.6493 7.40861i 1.06501 0.285369i
\(675\) 73.5167 2.55485i 2.82966 0.0983364i
\(676\) 7.82816 6.50075i 0.301083 0.250029i
\(677\) −6.12331 + 3.53529i −0.235338 + 0.135872i −0.613032 0.790058i \(-0.710050\pi\)
0.377694 + 0.925930i \(0.376717\pi\)
\(678\) −6.13896 + 0.608795i −0.235765 + 0.0233806i
\(679\) 6.08588 + 10.5411i 0.233555 + 0.404529i
\(680\) 19.3586 0.742369
\(681\) 27.5770 + 12.4727i 1.05675 + 0.477954i
\(682\) −2.70641 + 0.725179i −0.103634 + 0.0277685i
\(683\) 0.800438 2.98728i 0.0306279 0.114305i −0.948920 0.315518i \(-0.897822\pi\)
0.979547 + 0.201213i \(0.0644884\pi\)
\(684\) 0.640701 9.98043i 0.0244978 0.381611i
\(685\) 37.9492 + 65.7300i 1.44997 + 2.51141i
\(686\) 1.10330 0.0421242
\(687\) −6.80177 3.07634i −0.259504 0.117370i
\(688\) −10.7417 6.20173i −0.409524 0.236439i
\(689\) −44.2760 20.7841i −1.68678 0.791810i
\(690\) −46.3977 38.0256i −1.76633 1.44761i
\(691\) −6.30599 6.30599i −0.239891 0.239891i 0.576914 0.816805i \(-0.304257\pi\)
−0.816805 + 0.576914i \(0.804257\pi\)
\(692\) −1.24219 0.717177i −0.0472209 0.0272630i
\(693\) 4.74494 + 1.60359i 0.180245 + 0.0609154i
\(694\) 12.8251 + 12.8251i 0.486833 + 0.486833i
\(695\) 6.80894 + 25.4113i 0.258278 + 0.963906i
\(696\) −0.292736 2.95189i −0.0110961 0.111891i
\(697\) −1.20487 4.49664i −0.0456377 0.170322i
\(698\) 37.1399i 1.40576i
\(699\) −20.8689 + 25.4637i −0.789335 + 0.963125i
\(700\) 7.83541 7.83541i 0.296151 0.296151i
\(701\) −52.4503 −1.98102 −0.990510 0.137442i \(-0.956112\pi\)
−0.990510 + 0.137442i \(0.956112\pi\)
\(702\) −2.93248 + 20.4613i −0.110679 + 0.772261i
\(703\) −32.2049 −1.21463
\(704\) −9.68123 + 9.68123i −0.364875 + 0.364875i
\(705\) 46.1873 56.3564i 1.73951 2.12251i
\(706\) 22.4088i 0.843364i
\(707\) 0.846603 + 3.15956i 0.0318398 + 0.118828i
\(708\) 0.376259 + 3.79412i 0.0141407 + 0.142592i
\(709\) −0.796003 2.97072i −0.0298945 0.111568i 0.949366 0.314171i \(-0.101727\pi\)
−0.979261 + 0.202603i \(0.935060\pi\)
\(710\) −46.8689 46.8689i −1.75896 1.75896i
\(711\) −10.8392 + 9.53147i −0.406501 + 0.357458i
\(712\) −12.6164 7.28407i −0.472819 0.272982i
\(713\) 7.71440 + 7.71440i 0.288906 + 0.288906i
\(714\) −2.12925 1.74504i −0.0796852 0.0653066i
\(715\) −15.0567 21.6206i −0.563089 0.808563i
\(716\) 4.87292 + 2.81338i 0.182109 + 0.105141i
\(717\) −11.4988 5.20073i −0.429430 0.194225i
\(718\) 21.8874 0.816830
\(719\) 8.32833 + 14.4251i 0.310594 + 0.537965i 0.978491 0.206289i \(-0.0661387\pi\)
−0.667897 + 0.744254i \(0.732805\pi\)
\(720\) 21.4411 10.6094i 0.799062 0.395388i
\(721\) −2.74193 + 10.2330i −0.102115 + 0.381098i
\(722\) −0.917248 + 0.245776i −0.0341364 + 0.00914683i
\(723\) −9.95928 4.50444i −0.370390 0.167522i
\(724\) 17.2642 0.641617
\(725\) −3.94854 6.83908i −0.146645 0.253997i
\(726\) 15.6176 1.54878i 0.579623 0.0574806i
\(727\) 3.09298 1.78573i 0.114712 0.0662292i −0.441546 0.897239i \(-0.645570\pi\)
0.556258 + 0.831009i \(0.312236\pi\)
\(728\) 6.32614 + 9.08396i 0.234462 + 0.336674i
\(729\) 15.0907 + 22.3891i 0.558913 + 0.829226i
\(730\) 34.5463 9.25665i 1.27861 0.342604i
\(731\) 9.80778i 0.362754i
\(732\) −10.8171 + 4.07955i −0.399810 + 0.150784i
\(733\) −27.2109 + 7.29113i −1.00506 + 0.269304i −0.723562 0.690259i \(-0.757497\pi\)
−0.281494 + 0.959563i \(0.590830\pi\)
\(734\) −8.88234 + 8.88234i −0.327853 + 0.327853i
\(735\) −7.54393 + 0.748124i −0.278262 + 0.0275950i
\(736\) 28.6141 + 7.66712i 1.05473 + 0.282614i
\(737\) −2.36846 + 1.36743i −0.0872432 + 0.0503699i
\(738\) −7.06298 8.03202i −0.259992 0.295663i
\(739\) −11.8467 44.2127i −0.435790 1.62639i −0.739170 0.673519i \(-0.764782\pi\)
0.303380 0.952870i \(-0.401885\pi\)
\(740\) 12.9525 + 22.4344i 0.476145 + 0.824707i
\(741\) 26.1508 4.85483i 0.960673 0.178347i
\(742\) 7.48348 12.9618i 0.274727 0.475841i
\(743\) 9.31323 + 2.49547i 0.341669 + 0.0915500i 0.425574 0.904924i \(-0.360072\pi\)
−0.0839043 + 0.996474i \(0.526739\pi\)
\(744\) −7.56848 + 2.85437i −0.277474 + 0.104646i
\(745\) 84.7976 + 48.9579i 3.10674 + 1.79368i
\(746\) −26.0464 + 26.0464i −0.953625 + 0.953625i
\(747\) 0.789882 12.3043i 0.0289003 0.450190i
\(748\) −1.81843 0.487247i −0.0664884 0.0178155i
\(749\) −1.14550 + 4.27507i −0.0418557 + 0.156208i
\(750\) 48.5473 59.2360i 1.77270 2.16299i
\(751\) −5.10780 + 2.94899i −0.186386 + 0.107610i −0.590290 0.807191i \(-0.700987\pi\)
0.403903 + 0.914802i \(0.367653\pi\)
\(752\) 4.53224 16.9146i 0.165274 0.616811i
\(753\) −8.99268 1.47850i −0.327711 0.0538795i
\(754\) 2.08715 0.753630i 0.0760096 0.0274456i
\(755\) 2.86525i 0.104277i
\(756\) 3.96278 + 0.915582i 0.144125 + 0.0332994i
\(757\) 12.8455 22.2490i 0.466877 0.808655i −0.532407 0.846489i \(-0.678712\pi\)
0.999284 + 0.0378334i \(0.0120456\pi\)
\(758\) −17.1188 + 29.6506i −0.621782 + 1.07696i
\(759\) 12.0920 + 16.8504i 0.438910 + 0.611631i
\(760\) −40.4689 40.4689i −1.46796 1.46796i
\(761\) −36.4794 36.4794i −1.32238 1.32238i −0.911847 0.410531i \(-0.865343\pi\)
−0.410531 0.911847i \(-0.634657\pi\)
\(762\) 2.56341 5.66769i 0.0928627 0.205319i
\(763\) −3.83540 + 6.64311i −0.138851 + 0.240497i
\(764\) −7.51377 + 13.0142i −0.271839 + 0.470838i
\(765\) 15.7422 + 10.4881i 0.569162 + 0.379198i
\(766\) 21.1270i 0.763349i
\(767\) −9.53728 + 3.44372i −0.344371 + 0.124346i
\(768\) −17.0535 + 20.8082i −0.615366 + 0.750853i
\(769\) −10.0950 + 37.6751i −0.364035 + 1.35860i 0.504688 + 0.863302i \(0.331607\pi\)
−0.868724 + 0.495297i \(0.835059\pi\)
\(770\) 6.98201 4.03107i 0.251614 0.145270i
\(771\) 22.2459 + 3.65747i 0.801165 + 0.131721i
\(772\) −1.95976 + 7.31391i −0.0705331 + 0.263233i
\(773\) −0.604349 0.161935i −0.0217369 0.00582439i 0.247934 0.968777i \(-0.420248\pi\)
−0.269671 + 0.962952i \(0.586915\pi\)
\(774\)