Properties

Label 224.3.w.a.43.5
Level 224
Weight 3
Character 224.43
Analytic conductor 6.104
Analytic rank 0
Dimension 192
CM no
Inner twists 2

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(6.10355792167\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(48\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 43.5
Character \(\chi\) \(=\) 224.43
Dual form 224.3.w.a.99.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.86971 - 0.710051i) q^{2} +(0.216404 + 0.522445i) q^{3} +(2.99165 + 2.65518i) q^{4} +(2.53768 - 6.12651i) q^{5} +(-0.0336503 - 1.13048i) q^{6} +(1.87083 - 1.87083i) q^{7} +(-3.70822 - 7.08866i) q^{8} +(6.13784 - 6.13784i) q^{9} +O(q^{10})\) \(q+(-1.86971 - 0.710051i) q^{2} +(0.216404 + 0.522445i) q^{3} +(2.99165 + 2.65518i) q^{4} +(2.53768 - 6.12651i) q^{5} +(-0.0336503 - 1.13048i) q^{6} +(1.87083 - 1.87083i) q^{7} +(-3.70822 - 7.08866i) q^{8} +(6.13784 - 6.13784i) q^{9} +(-9.09487 + 9.65293i) q^{10} +(-7.96509 + 19.2294i) q^{11} +(-0.739782 + 2.13757i) q^{12} +(-5.18638 - 12.5210i) q^{13} +(-4.82630 + 2.16953i) q^{14} +3.74993 q^{15} +(1.89999 + 15.8868i) q^{16} -4.24643i q^{17} +(-15.8342 + 7.11782i) q^{18} +(30.5012 - 12.6340i) q^{19} +(23.8589 - 11.5904i) q^{20} +(1.38226 + 0.572550i) q^{21} +(28.5463 - 30.2979i) q^{22} +(-26.4678 - 26.4678i) q^{23} +(2.90096 - 3.47135i) q^{24} +(-13.4166 - 13.4166i) q^{25} +(0.806471 + 27.0933i) q^{26} +(9.23694 + 3.82607i) q^{27} +(10.5643 - 0.629478i) q^{28} +(-18.1205 + 7.50575i) q^{29} +(-7.01128 - 2.66264i) q^{30} -23.3942i q^{31} +(7.72799 - 31.0528i) q^{32} -11.7700 q^{33} +(-3.01518 + 7.93961i) q^{34} +(-6.71408 - 16.2092i) q^{35} +(34.6594 - 2.06520i) q^{36} +(16.0518 - 38.7526i) q^{37} +(-65.9993 + 1.96456i) q^{38} +(5.41919 - 5.41919i) q^{39} +(-52.8390 + 4.72966i) q^{40} +(11.2734 - 11.2734i) q^{41} +(-2.17789 - 2.05198i) q^{42} +(5.38077 - 12.9903i) q^{43} +(-74.8865 + 36.3790i) q^{44} +(-22.0276 - 53.1794i) q^{45} +(30.6937 + 68.2808i) q^{46} +2.38320 q^{47} +(-7.88880 + 4.43060i) q^{48} -7.00000i q^{49} +(15.5587 + 34.6116i) q^{50} +(2.21853 - 0.918944i) q^{51} +(17.7298 - 51.2294i) q^{52} +(35.3252 + 14.6322i) q^{53} +(-14.5537 - 13.7123i) q^{54} +(97.5964 + 97.5964i) q^{55} +(-20.1991 - 6.32423i) q^{56} +(13.2011 + 13.2011i) q^{57} +(39.2096 - 1.16713i) q^{58} +(-9.54184 - 3.95236i) q^{59} +(11.2185 + 9.95674i) q^{60} +(16.5202 - 6.84289i) q^{61} +(-16.6111 + 43.7405i) q^{62} -22.9657i q^{63} +(-36.4982 + 52.5726i) q^{64} -89.8715 q^{65} +(22.0065 + 8.35730i) q^{66} +(41.6465 + 100.544i) q^{67} +(11.2751 - 12.7039i) q^{68} +(8.10025 - 19.5557i) q^{69} +(1.04402 + 35.0739i) q^{70} +(-35.1511 + 35.1511i) q^{71} +(-66.2696 - 20.7486i) q^{72} +(-90.2819 + 90.2819i) q^{73} +(-57.5286 + 61.0585i) q^{74} +(4.10603 - 9.91282i) q^{75} +(124.795 + 43.1897i) q^{76} +(21.0736 + 50.8763i) q^{77} +(-13.9802 + 6.28443i) q^{78} +91.9422 q^{79} +(102.152 + 28.6753i) q^{80} -72.4682i q^{81} +(-29.0827 + 13.0733i) q^{82} +(76.3638 - 31.6309i) q^{83} +(2.61501 + 5.38303i) q^{84} +(-26.0158 - 10.7761i) q^{85} +(-19.2843 + 20.4676i) q^{86} +(-7.84268 - 7.84268i) q^{87} +(165.847 - 14.8451i) q^{88} +(18.9817 + 18.9817i) q^{89} +(3.42525 + 115.071i) q^{90} +(-33.1275 - 13.7219i) q^{91} +(-8.90564 - 149.460i) q^{92} +(12.2222 - 5.06260i) q^{93} +(-4.45589 - 1.69219i) q^{94} -218.927i q^{95} +(17.8958 - 2.68250i) q^{96} -28.9517 q^{97} +(-4.97036 + 13.0880i) q^{98} +(69.1387 + 166.916i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192q + O(q^{10}) \) \( 192q + 80q^{10} + 96q^{12} - 20q^{16} - 60q^{18} - 260q^{22} + 64q^{23} - 144q^{24} - 200q^{26} + 192q^{27} - 40q^{30} + 40q^{32} + 120q^{34} + 464q^{36} + 504q^{38} - 384q^{39} + 360q^{40} - 96q^{43} + 52q^{44} + 64q^{46} - 104q^{48} - 312q^{50} - 384q^{51} - 320q^{52} + 160q^{53} - 576q^{54} - 512q^{55} - 196q^{56} - 360q^{58} - 872q^{60} + 128q^{61} - 408q^{62} + 832q^{66} + 160q^{67} + 856q^{68} - 384q^{69} + 336q^{70} + 1488q^{72} + 308q^{74} + 768q^{75} + 1024q^{76} - 224q^{77} - 408q^{78} + 1024q^{79} - 1040q^{80} - 240q^{82} - 1384q^{86} + 896q^{87} - 560q^{88} - 1320q^{90} - 380q^{92} - 936q^{94} - 1088q^{96} - 512q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.86971 0.710051i −0.934857 0.355026i
\(3\) 0.216404 + 0.522445i 0.0721346 + 0.174148i 0.955834 0.293906i \(-0.0949552\pi\)
−0.883700 + 0.468054i \(0.844955\pi\)
\(4\) 2.99165 + 2.65518i 0.747914 + 0.663796i
\(5\) 2.53768 6.12651i 0.507536 1.22530i −0.437761 0.899091i \(-0.644228\pi\)
0.945297 0.326210i \(-0.105772\pi\)
\(6\) −0.0336503 1.13048i −0.00560838 0.188413i
\(7\) 1.87083 1.87083i 0.267261 0.267261i
\(8\) −3.70822 7.08866i −0.463527 0.886083i
\(9\) 6.13784 6.13784i 0.681983 0.681983i
\(10\) −9.09487 + 9.65293i −0.909487 + 0.965293i
\(11\) −7.96509 + 19.2294i −0.724099 + 1.74813i −0.0627773 + 0.998028i \(0.519996\pi\)
−0.661322 + 0.750102i \(0.730004\pi\)
\(12\) −0.739782 + 2.13757i −0.0616485 + 0.178130i
\(13\) −5.18638 12.5210i −0.398952 0.963156i −0.987915 0.154996i \(-0.950464\pi\)
0.588963 0.808160i \(-0.299536\pi\)
\(14\) −4.82630 + 2.16953i −0.344736 + 0.154966i
\(15\) 3.74993 0.249995
\(16\) 1.89999 + 15.8868i 0.118750 + 0.992924i
\(17\) 4.24643i 0.249790i −0.992170 0.124895i \(-0.960141\pi\)
0.992170 0.124895i \(-0.0398594\pi\)
\(18\) −15.8342 + 7.11782i −0.879677 + 0.395435i
\(19\) 30.5012 12.6340i 1.60533 0.664948i 0.613170 0.789951i \(-0.289894\pi\)
0.992156 + 0.125003i \(0.0398940\pi\)
\(20\) 23.8589 11.5904i 1.19294 0.579519i
\(21\) 1.38226 + 0.572550i 0.0658219 + 0.0272643i
\(22\) 28.5463 30.2979i 1.29756 1.37718i
\(23\) −26.4678 26.4678i −1.15078 1.15078i −0.986397 0.164378i \(-0.947438\pi\)
−0.164378 0.986397i \(-0.552562\pi\)
\(24\) 2.90096 3.47135i 0.120873 0.144640i
\(25\) −13.4166 13.4166i −0.536663 0.536663i
\(26\) 0.806471 + 27.0933i 0.0310181 + 1.04205i
\(27\) 9.23694 + 3.82607i 0.342109 + 0.141706i
\(28\) 10.5643 0.629478i 0.377295 0.0224814i
\(29\) −18.1205 + 7.50575i −0.624844 + 0.258819i −0.672561 0.740042i \(-0.734806\pi\)
0.0477166 + 0.998861i \(0.484806\pi\)
\(30\) −7.01128 2.66264i −0.233709 0.0887546i
\(31\) 23.3942i 0.754653i −0.926080 0.377326i \(-0.876844\pi\)
0.926080 0.377326i \(-0.123156\pi\)
\(32\) 7.72799 31.0528i 0.241500 0.970401i
\(33\) −11.7700 −0.356666
\(34\) −3.01518 + 7.93961i −0.0886819 + 0.233518i
\(35\) −6.71408 16.2092i −0.191831 0.463120i
\(36\) 34.6594 2.06520i 0.962761 0.0573667i
\(37\) 16.0518 38.7526i 0.433833 1.04737i −0.544207 0.838951i \(-0.683169\pi\)
0.978040 0.208415i \(-0.0668306\pi\)
\(38\) −65.9993 + 1.96456i −1.73682 + 0.0516990i
\(39\) 5.41919 5.41919i 0.138954 0.138954i
\(40\) −52.8390 + 4.72966i −1.32098 + 0.118241i
\(41\) 11.2734 11.2734i 0.274961 0.274961i −0.556132 0.831094i \(-0.687715\pi\)
0.831094 + 0.556132i \(0.187715\pi\)
\(42\) −2.17789 2.05198i −0.0518545 0.0488567i
\(43\) 5.38077 12.9903i 0.125134 0.302101i −0.848881 0.528584i \(-0.822723\pi\)
0.974015 + 0.226484i \(0.0727230\pi\)
\(44\) −74.8865 + 36.3790i −1.70197 + 0.826796i
\(45\) −22.0276 53.1794i −0.489503 1.18177i
\(46\) 30.6937 + 68.2808i 0.667255 + 1.48437i
\(47\) 2.38320 0.0507063 0.0253532 0.999679i \(-0.491929\pi\)
0.0253532 + 0.999679i \(0.491929\pi\)
\(48\) −7.88880 + 4.43060i −0.164350 + 0.0923042i
\(49\) 7.00000i 0.142857i
\(50\) 15.5587 + 34.6116i 0.311174 + 0.692232i
\(51\) 2.21853 0.918944i 0.0435005 0.0180185i
\(52\) 17.7298 51.2294i 0.340957 0.985180i
\(53\) 35.3252 + 14.6322i 0.666513 + 0.276079i 0.690176 0.723641i \(-0.257533\pi\)
−0.0236635 + 0.999720i \(0.507533\pi\)
\(54\) −14.5537 13.7123i −0.269513 0.253932i
\(55\) 97.5964 + 97.5964i 1.77448 + 1.77448i
\(56\) −20.1991 6.32423i −0.360698 0.112933i
\(57\) 13.2011 + 13.2011i 0.231599 + 0.231599i
\(58\) 39.2096 1.16713i 0.676027 0.0201229i
\(59\) −9.54184 3.95236i −0.161726 0.0669891i 0.300352 0.953829i \(-0.402896\pi\)
−0.462078 + 0.886839i \(0.652896\pi\)
\(60\) 11.2185 + 9.95674i 0.186975 + 0.165946i
\(61\) 16.5202 6.84289i 0.270823 0.112178i −0.243139 0.969991i \(-0.578177\pi\)
0.513962 + 0.857813i \(0.328177\pi\)
\(62\) −16.6111 + 43.7405i −0.267921 + 0.705492i
\(63\) 22.9657i 0.364535i
\(64\) −36.4982 + 52.5726i −0.570285 + 0.821447i
\(65\) −89.8715 −1.38264
\(66\) 22.0065 + 8.35730i 0.333432 + 0.126626i
\(67\) 41.6465 + 100.544i 0.621590 + 1.50065i 0.849836 + 0.527047i \(0.176701\pi\)
−0.228246 + 0.973603i \(0.573299\pi\)
\(68\) 11.2751 12.7039i 0.165810 0.186821i
\(69\) 8.10025 19.5557i 0.117395 0.283416i
\(70\) 1.04402 + 35.0739i 0.0149146 + 0.501056i
\(71\) −35.1511 + 35.1511i −0.495086 + 0.495086i −0.909904 0.414818i \(-0.863845\pi\)
0.414818 + 0.909904i \(0.363845\pi\)
\(72\) −66.2696 20.7486i −0.920410 0.288175i
\(73\) −90.2819 + 90.2819i −1.23674 + 1.23674i −0.275413 + 0.961326i \(0.588815\pi\)
−0.961326 + 0.275413i \(0.911185\pi\)
\(74\) −57.5286 + 61.0585i −0.777414 + 0.825115i
\(75\) 4.10603 9.91282i 0.0547470 0.132171i
\(76\) 124.795 + 43.1897i 1.64204 + 0.568286i
\(77\) 21.0736 + 50.8763i 0.273684 + 0.660731i
\(78\) −13.9802 + 6.28443i −0.179234 + 0.0805696i
\(79\) 91.9422 1.16382 0.581912 0.813251i \(-0.302305\pi\)
0.581912 + 0.813251i \(0.302305\pi\)
\(80\) 102.152 + 28.6753i 1.27690 + 0.358441i
\(81\) 72.4682i 0.894669i
\(82\) −29.0827 + 13.0733i −0.354668 + 0.159431i
\(83\) 76.3638 31.6309i 0.920045 0.381095i 0.128152 0.991755i \(-0.459096\pi\)
0.791893 + 0.610659i \(0.209096\pi\)
\(84\) 2.61501 + 5.38303i 0.0311311 + 0.0640836i
\(85\) −26.0158 10.7761i −0.306068 0.126778i
\(86\) −19.2843 + 20.4676i −0.224236 + 0.237995i
\(87\) −7.84268 7.84268i −0.0901457 0.0901457i
\(88\) 165.847 14.8451i 1.88463 0.168694i
\(89\) 18.9817 + 18.9817i 0.213277 + 0.213277i 0.805658 0.592381i \(-0.201812\pi\)
−0.592381 + 0.805658i \(0.701812\pi\)
\(90\) 3.42525 + 115.071i 0.0380583 + 1.27857i
\(91\) −33.1275 13.7219i −0.364039 0.150790i
\(92\) −8.90564 149.460i −0.0968004 1.62456i
\(93\) 12.2222 5.06260i 0.131421 0.0544365i
\(94\) −4.45589 1.69219i −0.0474031 0.0180020i
\(95\) 218.927i 2.30449i
\(96\) 17.8958 2.68250i 0.186414 0.0279427i
\(97\) −28.9517 −0.298472 −0.149236 0.988802i \(-0.547681\pi\)
−0.149236 + 0.988802i \(0.547681\pi\)
\(98\) −4.97036 + 13.0880i −0.0507179 + 0.133551i
\(99\) 69.1387 + 166.916i 0.698371 + 1.68602i
\(100\) −4.51428 75.7613i −0.0451428 0.757613i
\(101\) −45.4825 + 109.804i −0.450321 + 1.08717i 0.521878 + 0.853020i \(0.325231\pi\)
−0.972200 + 0.234152i \(0.924769\pi\)
\(102\) −4.80050 + 0.142894i −0.0470638 + 0.00140092i
\(103\) −45.7020 + 45.7020i −0.443709 + 0.443709i −0.893256 0.449548i \(-0.851585\pi\)
0.449548 + 0.893256i \(0.351585\pi\)
\(104\) −69.5251 + 83.1952i −0.668510 + 0.799954i
\(105\) 7.01547 7.01547i 0.0668140 0.0668140i
\(106\) −55.6584 52.4406i −0.525079 0.494723i
\(107\) −34.1117 + 82.3528i −0.318801 + 0.769653i 0.680518 + 0.732732i \(0.261755\pi\)
−0.999318 + 0.0369209i \(0.988245\pi\)
\(108\) 17.4748 + 35.9720i 0.161804 + 0.333074i
\(109\) 57.0756 + 137.793i 0.523629 + 1.26415i 0.935634 + 0.352971i \(0.114829\pi\)
−0.412005 + 0.911181i \(0.635171\pi\)
\(110\) −113.179 251.776i −1.02890 2.28887i
\(111\) 23.7197 0.213691
\(112\) 33.2760 + 26.1669i 0.297107 + 0.233633i
\(113\) 92.5117i 0.818688i −0.912380 0.409344i \(-0.865758\pi\)
0.912380 0.409344i \(-0.134242\pi\)
\(114\) −15.3089 34.0559i −0.134288 0.298736i
\(115\) −229.322 + 94.9884i −1.99411 + 0.825986i
\(116\) −74.1393 25.6586i −0.639132 0.221195i
\(117\) −108.685 45.0189i −0.928934 0.384777i
\(118\) 15.0341 + 14.1650i 0.127408 + 0.120042i
\(119\) −7.94435 7.94435i −0.0667592 0.0667592i
\(120\) −13.9055 26.5819i −0.115880 0.221516i
\(121\) −220.768 220.768i −1.82453 1.82453i
\(122\) −35.7468 + 1.06405i −0.293007 + 0.00872175i
\(123\) 8.32934 + 3.45013i 0.0677182 + 0.0280498i
\(124\) 62.1160 69.9875i 0.500935 0.564415i
\(125\) 36.9189 15.2923i 0.295351 0.122338i
\(126\) −16.3068 + 42.9393i −0.129419 + 0.340788i
\(127\) 8.52988i 0.0671644i −0.999436 0.0335822i \(-0.989308\pi\)
0.999436 0.0335822i \(-0.0106916\pi\)
\(128\) 105.570 72.3801i 0.824769 0.565469i
\(129\) 7.95115 0.0616368
\(130\) 168.034 + 63.8134i 1.29257 + 0.490872i
\(131\) 16.8684 + 40.7240i 0.128767 + 0.310870i 0.975094 0.221793i \(-0.0711911\pi\)
−0.846327 + 0.532664i \(0.821191\pi\)
\(132\) −35.2117 31.2515i −0.266756 0.236754i
\(133\) 33.4265 80.6986i 0.251327 0.606756i
\(134\) −6.47594 217.559i −0.0483279 1.62357i
\(135\) 46.8808 46.8808i 0.347265 0.347265i
\(136\) −30.1015 + 15.7467i −0.221335 + 0.115785i
\(137\) 97.8765 97.8765i 0.714427 0.714427i −0.253031 0.967458i \(-0.581427\pi\)
0.967458 + 0.253031i \(0.0814275\pi\)
\(138\) −29.0307 + 30.8120i −0.210367 + 0.223275i
\(139\) −98.6877 + 238.253i −0.709984 + 1.71405i −0.00994188 + 0.999951i \(0.503165\pi\)
−0.700042 + 0.714102i \(0.746835\pi\)
\(140\) 22.9523 66.3195i 0.163945 0.473711i
\(141\) 0.515733 + 1.24509i 0.00365768 + 0.00883042i
\(142\) 90.6816 40.7634i 0.638603 0.287066i
\(143\) 282.082 1.97260
\(144\) 109.172 + 85.8488i 0.758142 + 0.596172i
\(145\) 130.062i 0.896982i
\(146\) 232.906 104.697i 1.59525 0.717100i
\(147\) 3.65711 1.51483i 0.0248783 0.0103049i
\(148\) 150.917 73.3137i 1.01971 0.495363i
\(149\) −91.6970 37.9821i −0.615416 0.254914i 0.0531263 0.998588i \(-0.483081\pi\)
−0.668542 + 0.743674i \(0.733081\pi\)
\(150\) −14.7157 + 15.6186i −0.0981047 + 0.104124i
\(151\) −14.5265 14.5265i −0.0962020 0.0962020i 0.657368 0.753570i \(-0.271670\pi\)
−0.753570 + 0.657368i \(0.771670\pi\)
\(152\) −202.663 169.363i −1.33331 1.11423i
\(153\) −26.0639 26.0639i −0.170352 0.170352i
\(154\) −3.27691 110.087i −0.0212786 0.714853i
\(155\) −143.325 59.3671i −0.924677 0.383014i
\(156\) 30.6013 1.82340i 0.196162 0.0116884i
\(157\) 276.826 114.665i 1.76323 0.730352i 0.767188 0.641423i \(-0.221656\pi\)
0.996038 0.0889291i \(-0.0283444\pi\)
\(158\) −171.905 65.2836i −1.08801 0.413188i
\(159\) 21.6219i 0.135987i
\(160\) −170.634 126.148i −1.06646 0.788424i
\(161\) −99.0336 −0.615116
\(162\) −51.4562 + 135.495i −0.317631 + 0.836388i
\(163\) 29.4724 + 71.1526i 0.180812 + 0.436519i 0.988134 0.153592i \(-0.0490841\pi\)
−0.807322 + 0.590111i \(0.799084\pi\)
\(164\) 63.6591 3.79317i 0.388165 0.0231291i
\(165\) −29.8685 + 72.1089i −0.181021 + 0.437024i
\(166\) −165.238 + 4.91854i −0.995409 + 0.0296297i
\(167\) −65.1613 + 65.1613i −0.390188 + 0.390188i −0.874754 0.484567i \(-0.838977\pi\)
0.484567 + 0.874754i \(0.338977\pi\)
\(168\) −1.06710 11.9215i −0.00635180 0.0709614i
\(169\) −10.3765 + 10.3765i −0.0613996 + 0.0613996i
\(170\) 40.9905 + 38.6207i 0.241121 + 0.227181i
\(171\) 109.666 264.757i 0.641322 1.54829i
\(172\) 50.5891 24.5756i 0.294123 0.142882i
\(173\) 106.786 + 257.804i 0.617260 + 1.49020i 0.854873 + 0.518837i \(0.173635\pi\)
−0.237614 + 0.971360i \(0.576365\pi\)
\(174\) 9.09485 + 20.2323i 0.0522693 + 0.116277i
\(175\) −50.2003 −0.286859
\(176\) −320.627 90.0039i −1.82175 0.511386i
\(177\) 5.84039i 0.0329966i
\(178\) −22.0123 48.9683i −0.123665 0.275103i
\(179\) 5.65364 2.34181i 0.0315846 0.0130828i −0.366835 0.930286i \(-0.619559\pi\)
0.398420 + 0.917203i \(0.369559\pi\)
\(180\) 75.3021 217.582i 0.418345 1.20879i
\(181\) 243.727 + 100.955i 1.34656 + 0.557762i 0.935332 0.353772i \(-0.115101\pi\)
0.411224 + 0.911534i \(0.365101\pi\)
\(182\) 52.1957 + 49.1782i 0.286790 + 0.270210i
\(183\) 7.15006 + 7.15006i 0.0390714 + 0.0390714i
\(184\) −89.4730 + 285.770i −0.486266 + 1.55310i
\(185\) −196.683 196.683i −1.06315 1.06315i
\(186\) −26.4467 + 0.787223i −0.142187 + 0.00423238i
\(187\) 81.6565 + 33.8232i 0.436666 + 0.180873i
\(188\) 7.12970 + 6.32783i 0.0379239 + 0.0336586i
\(189\) 24.4386 10.1228i 0.129305 0.0535599i
\(190\) −155.449 + 409.331i −0.818154 + 2.15437i
\(191\) 120.555i 0.631176i 0.948896 + 0.315588i \(0.102202\pi\)
−0.948896 + 0.315588i \(0.897798\pi\)
\(192\) −35.3646 7.69140i −0.184191 0.0400594i
\(193\) 23.9735 0.124215 0.0621074 0.998069i \(-0.480218\pi\)
0.0621074 + 0.998069i \(0.480218\pi\)
\(194\) 54.1315 + 20.5572i 0.279028 + 0.105965i
\(195\) −19.4485 46.9529i −0.0997361 0.240784i
\(196\) 18.5863 20.9416i 0.0948280 0.106845i
\(197\) 2.57094 6.20679i 0.0130504 0.0315065i −0.917220 0.398381i \(-0.869572\pi\)
0.930270 + 0.366875i \(0.119572\pi\)
\(198\) −10.7509 361.177i −0.0542976 1.82412i
\(199\) 163.257 163.257i 0.820387 0.820387i −0.165777 0.986163i \(-0.553013\pi\)
0.986163 + 0.165777i \(0.0530131\pi\)
\(200\) −45.3540 + 144.857i −0.226770 + 0.724286i
\(201\) −43.5160 + 43.5160i −0.216498 + 0.216498i
\(202\) 163.006 173.008i 0.806960 0.856474i
\(203\) −19.8583 + 47.9423i −0.0978243 + 0.236169i
\(204\) 9.07703 + 3.14143i 0.0444952 + 0.0153992i
\(205\) −40.4583 97.6750i −0.197358 0.476463i
\(206\) 117.900 52.9989i 0.572332 0.257276i
\(207\) −324.911 −1.56962
\(208\) 189.065 106.185i 0.908965 0.510504i
\(209\) 687.152i 3.28781i
\(210\) −18.0983 + 8.13557i −0.0861822 + 0.0387408i
\(211\) 66.2791 27.4537i 0.314119 0.130112i −0.220054 0.975488i \(-0.570623\pi\)
0.534173 + 0.845375i \(0.320623\pi\)
\(212\) 66.8296 + 137.569i 0.315234 + 0.648911i
\(213\) −25.9713 10.7577i −0.121931 0.0505055i
\(214\) 122.254 129.755i 0.571279 0.606332i
\(215\) −65.9307 65.9307i −0.306654 0.306654i
\(216\) −7.13091 79.6654i −0.0330135 0.368821i
\(217\) −43.7666 43.7666i −0.201689 0.201689i
\(218\) −8.87512 298.159i −0.0407116 1.36770i
\(219\) −66.7047 27.6300i −0.304588 0.126164i
\(220\) 32.8383 + 551.111i 0.149265 + 2.50505i
\(221\) −53.1697 + 22.0236i −0.240587 + 0.0996543i
\(222\) −44.3491 16.8422i −0.199771 0.0758659i
\(223\) 229.509i 1.02919i −0.857434 0.514594i \(-0.827943\pi\)
0.857434 0.514594i \(-0.172057\pi\)
\(224\) −43.6368 72.5523i −0.194807 0.323894i
\(225\) −164.698 −0.731990
\(226\) −65.6881 + 172.970i −0.290655 + 0.765356i
\(227\) 59.5385 + 143.739i 0.262284 + 0.633209i 0.999079 0.0429066i \(-0.0136618\pi\)
−0.736795 + 0.676116i \(0.763662\pi\)
\(228\) 4.44179 + 74.5448i 0.0194815 + 0.326951i
\(229\) −131.225 + 316.806i −0.573036 + 1.38343i 0.325922 + 0.945397i \(0.394325\pi\)
−0.898958 + 0.438035i \(0.855675\pi\)
\(230\) 496.214 14.7705i 2.15745 0.0642195i
\(231\) −22.0196 + 22.0196i −0.0953231 + 0.0953231i
\(232\) 120.400 + 100.617i 0.518967 + 0.433694i
\(233\) 23.8104 23.8104i 0.102191 0.102191i −0.654163 0.756354i \(-0.726979\pi\)
0.756354 + 0.654163i \(0.226979\pi\)
\(234\) 171.245 + 161.345i 0.731814 + 0.689507i
\(235\) 6.04779 14.6007i 0.0257353 0.0621305i
\(236\) −18.0516 37.1594i −0.0764900 0.157455i
\(237\) 19.8966 + 48.0347i 0.0839520 + 0.202678i
\(238\) 9.21276 + 20.4945i 0.0387091 + 0.0861115i
\(239\) −232.333 −0.972106 −0.486053 0.873929i \(-0.661564\pi\)
−0.486053 + 0.873929i \(0.661564\pi\)
\(240\) 7.12483 + 59.5743i 0.0296868 + 0.248226i
\(241\) 236.794i 0.982550i 0.871005 + 0.491275i \(0.163469\pi\)
−0.871005 + 0.491275i \(0.836531\pi\)
\(242\) 256.017 + 569.530i 1.05792 + 2.35343i
\(243\) 120.993 50.1170i 0.497914 0.206243i
\(244\) 67.5918 + 23.3926i 0.277016 + 0.0958713i
\(245\) −42.8855 17.7638i −0.175043 0.0725052i
\(246\) −13.1237 12.3650i −0.0533484 0.0502643i
\(247\) −316.382 316.382i −1.28090 1.28090i
\(248\) −165.834 + 86.7509i −0.668685 + 0.349802i
\(249\) 33.0508 + 33.0508i 0.132734 + 0.132734i
\(250\) −79.8860 + 2.37792i −0.319544 + 0.00951167i
\(251\) −120.327 49.8412i −0.479391 0.198570i 0.129884 0.991529i \(-0.458540\pi\)
−0.609275 + 0.792959i \(0.708540\pi\)
\(252\) 60.9782 68.7055i 0.241977 0.272641i
\(253\) 719.780 298.143i 2.84498 1.17843i
\(254\) −6.05665 + 15.9484i −0.0238451 + 0.0627891i
\(255\) 15.9238i 0.0624463i
\(256\) −248.780 + 60.3696i −0.971797 + 0.235819i
\(257\) 396.818 1.54404 0.772019 0.635600i \(-0.219247\pi\)
0.772019 + 0.635600i \(0.219247\pi\)
\(258\) −14.8664 5.64572i −0.0576216 0.0218827i
\(259\) −42.4692 102.530i −0.163974 0.395867i
\(260\) −268.865 238.625i −1.03409 0.917790i
\(261\) −65.1515 + 157.290i −0.249623 + 0.602643i
\(262\) −2.62300 88.1196i −0.0100115 0.336335i
\(263\) −114.056 + 114.056i −0.433672 + 0.433672i −0.889876 0.456203i \(-0.849209\pi\)
0.456203 + 0.889876i \(0.349209\pi\)
\(264\) 43.6457 + 83.4335i 0.165325 + 0.316036i
\(265\) 179.288 179.288i 0.676559 0.676559i
\(266\) −119.798 + 127.149i −0.450369 + 0.478003i
\(267\) −5.80917 + 14.0246i −0.0217572 + 0.0525265i
\(268\) −142.370 + 411.371i −0.531230 + 1.53497i
\(269\) −116.894 282.208i −0.434551 1.04910i −0.977802 0.209529i \(-0.932807\pi\)
0.543252 0.839570i \(-0.317193\pi\)
\(270\) −120.941 + 54.3659i −0.447931 + 0.201355i
\(271\) 258.317 0.953201 0.476600 0.879120i \(-0.341869\pi\)
0.476600 + 0.879120i \(0.341869\pi\)
\(272\) 67.4622 8.06819i 0.248023 0.0296625i
\(273\) 20.2768i 0.0742739i
\(274\) −252.498 + 113.504i −0.921527 + 0.414247i
\(275\) 364.858 151.129i 1.32675 0.549560i
\(276\) 76.1572 36.9963i 0.275932 0.134045i
\(277\) −214.290 88.7619i −0.773611 0.320440i −0.0392766 0.999228i \(-0.512505\pi\)
−0.734334 + 0.678788i \(0.762505\pi\)
\(278\) 353.690 375.392i 1.27227 1.35033i
\(279\) −143.590 143.590i −0.514660 0.514660i
\(280\) −90.0044 + 107.701i −0.321444 + 0.384647i
\(281\) 179.889 + 179.889i 0.640173 + 0.640173i 0.950598 0.310425i \(-0.100471\pi\)
−0.310425 + 0.950598i \(0.600471\pi\)
\(282\) −0.0801953 2.69415i −0.000284380 0.00955374i
\(283\) 127.021 + 52.6140i 0.448839 + 0.185915i 0.595641 0.803251i \(-0.296898\pi\)
−0.146802 + 0.989166i \(0.546898\pi\)
\(284\) −198.493 + 11.8273i −0.698918 + 0.0416454i
\(285\) 114.377 47.3766i 0.401324 0.166234i
\(286\) −527.413 200.293i −1.84410 0.700324i
\(287\) 42.1812i 0.146973i
\(288\) −143.164 238.031i −0.497098 0.826495i
\(289\) 270.968 0.937605
\(290\) 92.3510 243.179i 0.318452 0.838550i
\(291\) −6.26527 15.1257i −0.0215301 0.0519783i
\(292\) −509.808 + 30.3772i −1.74592 + 0.104031i
\(293\) 141.749 342.213i 0.483786 1.16796i −0.474012 0.880518i \(-0.657195\pi\)
0.957798 0.287443i \(-0.0928053\pi\)
\(294\) −7.91336 + 0.235552i −0.0269162 + 0.000801198i
\(295\) −48.4283 + 48.4283i −0.164164 + 0.164164i
\(296\) −334.227 + 29.9169i −1.12915 + 0.101071i
\(297\) −147.146 + 147.146i −0.495441 + 0.495441i
\(298\) 144.478 + 136.125i 0.484825 + 0.456796i
\(299\) −194.132 + 468.677i −0.649272 + 1.56748i
\(300\) 38.6042 18.7535i 0.128681 0.0625116i
\(301\) −14.2362 34.3692i −0.0472963 0.114183i
\(302\) 16.8458 + 37.4749i 0.0557809 + 0.124089i
\(303\) −67.2093 −0.221813
\(304\) 258.666 + 460.562i 0.850875 + 1.51501i
\(305\) 118.576i 0.388774i
\(306\) 30.2253 + 67.2388i 0.0987756 + 0.219735i
\(307\) −470.969 + 195.082i −1.53410 + 0.635445i −0.980355 0.197242i \(-0.936802\pi\)
−0.553745 + 0.832687i \(0.686802\pi\)
\(308\) −72.0408 + 208.159i −0.233899 + 0.675840i
\(309\) −33.7669 13.9867i −0.109278 0.0452644i
\(310\) 225.823 + 212.768i 0.728461 + 0.686347i
\(311\) 200.328 + 200.328i 0.644142 + 0.644142i 0.951571 0.307429i \(-0.0994687\pi\)
−0.307429 + 0.951571i \(0.599469\pi\)
\(312\) −58.5104 18.3193i −0.187533 0.0587156i
\(313\) −316.986 316.986i −1.01274 1.01274i −0.999918 0.0128178i \(-0.995920\pi\)
−0.0128178 0.999918i \(-0.504080\pi\)
\(314\) −599.004 + 17.8302i −1.90766 + 0.0567841i
\(315\) −140.700 58.2797i −0.446665 0.185015i
\(316\) 275.059 + 244.123i 0.870440 + 0.772542i
\(317\) −139.758 + 57.8897i −0.440877 + 0.182617i −0.592069 0.805887i \(-0.701689\pi\)
0.151192 + 0.988504i \(0.451689\pi\)
\(318\) 15.3527 40.4268i 0.0482788 0.127128i
\(319\) 408.230i 1.27972i
\(320\) 229.466 + 357.019i 0.717080 + 1.11569i
\(321\) −50.4067 −0.157030
\(322\) 185.164 + 70.3189i 0.575045 + 0.218382i
\(323\) −53.6495 129.521i −0.166097 0.400995i
\(324\) 192.416 216.800i 0.593878 0.669135i
\(325\) −98.4059 + 237.573i −0.302787 + 0.730993i
\(326\) −4.58289 153.962i −0.0140579 0.472275i
\(327\) −59.6377 + 59.6377i −0.182378 + 0.182378i
\(328\) −121.718 38.1091i −0.371090 0.116186i
\(329\) 4.45855 4.45855i 0.0135518 0.0135518i
\(330\) 107.047 113.615i 0.324383 0.344287i
\(331\) 185.794 448.546i 0.561311 1.35512i −0.347408 0.937714i \(-0.612938\pi\)
0.908718 0.417410i \(-0.137062\pi\)
\(332\) 312.440 + 108.131i 0.941084 + 0.325696i
\(333\) −139.333 336.381i −0.418419 1.01015i
\(334\) 168.101 75.5651i 0.503296 0.226243i
\(335\) 721.667 2.15423
\(336\) −6.46970 + 23.0475i −0.0192551 + 0.0685937i
\(337\) 134.483i 0.399060i −0.979892 0.199530i \(-0.936058\pi\)
0.979892 0.199530i \(-0.0639416\pi\)
\(338\) 26.7690 12.0333i 0.0791983 0.0356014i
\(339\) 48.3323 20.0199i 0.142573 0.0590557i
\(340\) −49.2177 101.315i −0.144758 0.297986i
\(341\) 449.858 + 186.337i 1.31923 + 0.546443i
\(342\) −393.035 + 417.152i −1.14923 + 1.21974i
\(343\) −13.0958 13.0958i −0.0381802 0.0381802i
\(344\) −112.037 + 10.0285i −0.325689 + 0.0291527i
\(345\) −99.2524 99.2524i −0.287688 0.287688i
\(346\) −16.6050 557.843i −0.0479913 1.61226i
\(347\) −304.844 126.271i −0.878514 0.363892i −0.102594 0.994723i \(-0.532714\pi\)
−0.775920 + 0.630831i \(0.782714\pi\)
\(348\) −2.63883 44.2863i −0.00758284 0.127260i
\(349\) 10.0744 4.17295i 0.0288664 0.0119569i −0.368204 0.929745i \(-0.620027\pi\)
0.397070 + 0.917788i \(0.370027\pi\)
\(350\) 93.8601 + 35.6448i 0.268172 + 0.101842i
\(351\) 135.499i 0.386038i
\(352\) 535.574 + 395.943i 1.52152 + 1.12484i
\(353\) −206.710 −0.585581 −0.292791 0.956177i \(-0.594584\pi\)
−0.292791 + 0.956177i \(0.594584\pi\)
\(354\) −4.14698 + 10.9199i −0.0117146 + 0.0308470i
\(355\) 126.151 + 304.556i 0.355355 + 0.857904i
\(356\) 6.38677 + 107.186i 0.0179404 + 0.301086i
\(357\) 2.43130 5.86967i 0.00681035 0.0164416i
\(358\) −12.2335 + 0.364147i −0.0341718 + 0.00101717i
\(359\) −183.877 + 183.877i −0.512191 + 0.512191i −0.915197 0.403006i \(-0.867965\pi\)
0.403006 + 0.915197i \(0.367965\pi\)
\(360\) −295.288 + 353.347i −0.820243 + 0.981521i
\(361\) 515.440 515.440i 1.42781 1.42781i
\(362\) −384.016 361.815i −1.06082 0.999489i
\(363\) 67.5642 163.114i 0.186127 0.449351i
\(364\) −62.6720 129.011i −0.172176 0.354425i
\(365\) 324.006 + 782.220i 0.887688 + 2.14307i
\(366\) −8.29165 18.4455i −0.0226548 0.0503975i
\(367\) −180.299 −0.491278 −0.245639 0.969361i \(-0.578998\pi\)
−0.245639 + 0.969361i \(0.578998\pi\)
\(368\) 370.200 470.778i 1.00598 1.27929i
\(369\) 138.389i 0.375038i
\(370\) 228.086 + 507.397i 0.616449 + 1.37134i
\(371\) 93.4616 38.7131i 0.251918 0.104348i
\(372\) 50.0067 + 17.3066i 0.134427 + 0.0465232i
\(373\) 130.205 + 53.9325i 0.349074 + 0.144591i 0.550329 0.834948i \(-0.314502\pi\)
−0.201256 + 0.979539i \(0.564502\pi\)
\(374\) −128.658 121.220i −0.344005 0.324118i
\(375\) 15.9788 + 15.9788i 0.0426100 + 0.0426100i
\(376\) −8.83741 16.8937i −0.0235038 0.0449300i
\(377\) 187.959 + 187.959i 0.498566 + 0.498566i
\(378\) −52.8810 + 1.57408i −0.139897 + 0.00416422i
\(379\) −590.825 244.728i −1.55890 0.645719i −0.574006 0.818851i \(-0.694611\pi\)
−0.984899 + 0.173132i \(0.944611\pi\)
\(380\) 581.291 654.954i 1.52971 1.72356i
\(381\) 4.45639 1.84590i 0.0116966 0.00484487i
\(382\) 85.5999 225.403i 0.224084 0.590059i
\(383\) 41.9233i 0.109460i −0.998501 0.0547302i \(-0.982570\pi\)
0.998501 0.0547302i \(-0.0174299\pi\)
\(384\) 60.6604 + 39.4914i 0.157970 + 0.102842i
\(385\) 365.172 0.948499
\(386\) −44.8235 17.0224i −0.116123 0.0440994i
\(387\) −46.7063 112.759i −0.120688 0.291367i
\(388\) −86.6136 76.8722i −0.223231 0.198124i
\(389\) 109.420 264.164i 0.281286 0.679084i −0.718580 0.695444i \(-0.755208\pi\)
0.999866 + 0.0163600i \(0.00520779\pi\)
\(390\) 3.02420 + 101.598i 0.00775437 + 0.260508i
\(391\) −112.394 + 112.394i −0.287452 + 0.287452i
\(392\) −49.6206 + 25.9575i −0.126583 + 0.0662182i
\(393\) −17.6256 + 17.6256i −0.0448490 + 0.0448490i
\(394\) −9.21405 + 9.77942i −0.0233859 + 0.0248209i
\(395\) 233.320 563.284i 0.590683 1.42604i
\(396\) −236.353 + 682.930i −0.596850 + 1.72457i
\(397\) 104.490 + 252.261i 0.263198 + 0.635417i 0.999133 0.0416355i \(-0.0132568\pi\)
−0.735934 + 0.677053i \(0.763257\pi\)
\(398\) −421.164 + 189.323i −1.05820 + 0.475686i
\(399\) 49.3942 0.123795
\(400\) 187.655 238.638i 0.469137 0.596595i
\(401\) 517.976i 1.29171i 0.763460 + 0.645855i \(0.223499\pi\)
−0.763460 + 0.645855i \(0.776501\pi\)
\(402\) 112.261 50.4639i 0.279256 0.125532i
\(403\) −292.920 + 121.331i −0.726848 + 0.301070i
\(404\) −427.619 + 207.732i −1.05846 + 0.514189i
\(405\) −443.977 183.901i −1.09624 0.454077i
\(406\) 71.1709 75.5379i 0.175298 0.186054i
\(407\) 617.335 + 617.335i 1.51679 + 1.51679i
\(408\) −14.7409 12.3187i −0.0361296 0.0301930i
\(409\) −84.9302 84.9302i −0.207653 0.207653i 0.595616 0.803269i \(-0.296908\pi\)
−0.803269 + 0.595616i \(0.796908\pi\)
\(410\) 6.29118 + 211.352i 0.0153443 + 0.515492i
\(411\) 72.3159 + 29.9542i 0.175951 + 0.0728813i
\(412\) −258.072 + 15.3774i −0.626388 + 0.0373237i
\(413\) −25.2453 + 10.4570i −0.0611267 + 0.0253195i
\(414\) 607.490 + 230.703i 1.46737 + 0.557255i
\(415\) 548.112i 1.32075i
\(416\) −428.894 + 64.2893i −1.03099 + 0.154542i
\(417\) −145.831 −0.349714
\(418\) 487.913 1284.78i 1.16726 3.07363i
\(419\) 6.25229 + 15.0944i 0.0149219 + 0.0360247i 0.931165 0.364598i \(-0.118794\pi\)
−0.916243 + 0.400623i \(0.868794\pi\)
\(420\) 39.6152 2.36050i 0.0943219 0.00562023i
\(421\) −241.333 + 582.630i −0.573238 + 1.38392i 0.325545 + 0.945526i \(0.394452\pi\)
−0.898783 + 0.438393i \(0.855548\pi\)
\(422\) −143.416 + 4.26899i −0.339849 + 0.0101161i
\(423\) 14.6277 14.6277i 0.0345808 0.0345808i
\(424\) −27.2710 304.667i −0.0643184 0.718555i
\(425\) −56.9726 + 56.9726i −0.134053 + 0.134053i
\(426\) 40.9205 + 38.5548i 0.0960574 + 0.0905041i
\(427\) 18.1046 43.7083i 0.0423995 0.102361i
\(428\) −320.712 + 155.798i −0.749328 + 0.364015i
\(429\) 61.0436 + 147.372i 0.142293 + 0.343525i
\(430\) 76.4573 + 170.086i 0.177808 + 0.395548i
\(431\) −9.28501 −0.0215429 −0.0107715 0.999942i \(-0.503429\pi\)
−0.0107715 + 0.999942i \(0.503429\pi\)
\(432\) −43.2338 + 154.015i −0.100078 + 0.356516i
\(433\) 267.933i 0.618783i −0.950935 0.309392i \(-0.899875\pi\)
0.950935 0.309392i \(-0.100125\pi\)
\(434\) 50.7545 + 112.908i 0.116946 + 0.260156i
\(435\) −67.9504 + 28.1460i −0.156208 + 0.0647034i
\(436\) −195.114 + 563.774i −0.447510 + 1.29306i
\(437\) −1141.70 472.906i −2.61258 1.08216i
\(438\) 105.100 + 99.0239i 0.239954 + 0.226082i
\(439\) −236.117 236.117i −0.537852 0.537852i 0.385046 0.922897i \(-0.374186\pi\)
−0.922897 + 0.385046i \(0.874186\pi\)
\(440\) 329.919 1053.74i 0.749816 2.39485i
\(441\) −42.9649 42.9649i −0.0974261 0.0974261i
\(442\) 115.050 3.42462i 0.260294 0.00774801i
\(443\) 37.5375 + 15.5485i 0.0847347 + 0.0350982i 0.424648 0.905358i \(-0.360398\pi\)
−0.339914 + 0.940457i \(0.610398\pi\)
\(444\) 70.9613 + 62.9803i 0.159823 + 0.141848i
\(445\) 164.461 68.1219i 0.369575 0.153083i
\(446\) −162.963 + 429.116i −0.365388 + 0.962143i
\(447\) 56.1261i 0.125562i
\(448\) 30.0724 + 166.636i 0.0671259 + 0.371956i
\(449\) −174.228 −0.388036 −0.194018 0.980998i \(-0.562152\pi\)
−0.194018 + 0.980998i \(0.562152\pi\)
\(450\) 307.938 + 116.944i 0.684306 + 0.259875i
\(451\) 126.988 + 306.575i 0.281569 + 0.679767i
\(452\) 245.636 276.763i 0.543442 0.612308i
\(453\) 4.44570 10.7329i 0.00981392 0.0236929i
\(454\) −9.25810 311.025i −0.0203923 0.685078i
\(455\) −168.134 + 168.134i −0.369526 + 0.369526i
\(456\) 44.6257 142.531i 0.0978634 0.312568i
\(457\) −96.9574 + 96.9574i −0.212161 + 0.212161i −0.805185 0.593024i \(-0.797934\pi\)
0.593024 + 0.805185i \(0.297934\pi\)
\(458\) 470.302 499.159i 1.02686 1.08987i
\(459\) 16.2471 39.2240i 0.0353968 0.0854554i
\(460\) −938.265 324.721i −2.03971 0.705914i
\(461\) −199.336 481.239i −0.432399 1.04390i −0.978512 0.206191i \(-0.933893\pi\)
0.546113 0.837711i \(-0.316107\pi\)
\(462\) 56.8055 25.5353i 0.122956 0.0552713i
\(463\) −698.788 −1.50926 −0.754630 0.656150i \(-0.772184\pi\)
−0.754630 + 0.656150i \(0.772184\pi\)
\(464\) −153.671 273.615i −0.331187 0.589688i
\(465\) 87.7266i 0.188659i
\(466\) −61.4253 + 27.6120i −0.131814 + 0.0592533i
\(467\) 622.085 257.676i 1.33209 0.551769i 0.400837 0.916149i \(-0.368719\pi\)
0.931250 + 0.364381i \(0.118719\pi\)
\(468\) −205.615 423.260i −0.439349 0.904403i
\(469\) 266.013 + 110.186i 0.567193 + 0.234939i
\(470\) −21.6749 + 23.0048i −0.0461167 + 0.0489464i
\(471\) 119.813 + 119.813i 0.254379 + 0.254379i
\(472\) 7.36629 + 82.2951i 0.0156066 + 0.174354i
\(473\) 206.938 + 206.938i 0.437502 + 0.437502i
\(474\) −3.09388 103.939i −0.00652718 0.219280i
\(475\) −578.727 239.717i −1.21837 0.504667i
\(476\) −2.67304 44.8604i −0.00561562 0.0942446i
\(477\) 306.630 127.010i 0.642831 0.266269i
\(478\) 434.397 + 164.969i 0.908780 + 0.345123i
\(479\) 40.0609i 0.0836345i 0.999125 + 0.0418172i \(0.0133147\pi\)
−0.999125 + 0.0418172i \(0.986685\pi\)
\(480\) 28.9794 116.446i 0.0603737 0.242595i
\(481\) −568.473 −1.18186
\(482\) 168.136 442.738i 0.348830 0.918543i
\(483\) −21.4312 51.7396i −0.0443711 0.107121i
\(484\) −74.2820 1246.64i −0.153475 2.57571i
\(485\) −73.4703 + 177.373i −0.151485 + 0.365718i
\(486\) −261.808 + 7.79308i −0.538700 + 0.0160351i
\(487\) −237.621 + 237.621i −0.487928 + 0.487928i −0.907652 0.419724i \(-0.862127\pi\)
0.419724 + 0.907652i \(0.362127\pi\)
\(488\) −109.767 91.7311i −0.224933 0.187974i
\(489\) −30.7954 + 30.7954i −0.0629762 + 0.0629762i
\(490\) 67.5705 + 63.6641i 0.137899 + 0.129927i
\(491\) −21.7887 + 52.6025i −0.0443761 + 0.107133i −0.944513 0.328473i \(-0.893466\pi\)
0.900137 + 0.435606i \(0.143466\pi\)
\(492\) 15.7578 + 32.4375i 0.0320280 + 0.0659299i
\(493\) 31.8726 + 76.9474i 0.0646504 + 0.156080i
\(494\) 366.896 + 816.190i 0.742704 + 1.65221i
\(495\) 1198.06 2.42033
\(496\) 371.659 44.4489i 0.749313 0.0896147i
\(497\) 131.523i 0.264635i
\(498\) −38.3278 85.2633i −0.0769634 0.171211i
\(499\) 528.467 218.898i 1.05905 0.438674i 0.215938 0.976407i \(-0.430719\pi\)
0.843115 + 0.537733i \(0.180719\pi\)
\(500\) 151.052 + 52.2771i 0.302105 + 0.104554i
\(501\) −48.1444 19.9420i −0.0960965 0.0398045i
\(502\) 189.588 + 178.627i 0.377664 + 0.355831i
\(503\) −44.4397 44.4397i −0.0883494 0.0883494i 0.661551 0.749900i \(-0.269899\pi\)
−0.749900 + 0.661551i \(0.769899\pi\)
\(504\) −162.796 + 85.1619i −0.323008 + 0.168972i
\(505\) 557.297 + 557.297i 1.10356 + 1.10356i
\(506\) −1557.48 + 46.3605i −3.07802 + 0.0916216i
\(507\) −7.66669 3.17565i −0.0151217 0.00626360i
\(508\) 22.6484 25.5184i 0.0445835 0.0502332i
\(509\) −459.763 + 190.440i −0.903268 + 0.374146i −0.785476 0.618892i \(-0.787582\pi\)
−0.117792 + 0.993038i \(0.537582\pi\)
\(510\) −11.3067 + 29.7729i −0.0221700 + 0.0583783i
\(511\) 337.804i 0.661065i
\(512\) 508.013 + 63.7728i 0.992213 + 0.124556i
\(513\) 330.076 0.643424
\(514\) −741.935 281.761i −1.44345 0.548173i
\(515\) 164.017 + 395.971i 0.318479 + 0.768875i
\(516\) 23.7871 + 21.1118i 0.0460990 + 0.0409143i
\(517\) −18.9824 + 45.8275i −0.0367164 + 0.0886412i
\(518\) 6.60386 + 221.856i 0.0127488 + 0.428294i
\(519\) −111.579 + 111.579i −0.214989 + 0.214989i
\(520\) 333.263 + 637.069i 0.640891 + 1.22513i
\(521\) 512.045 512.045i 0.982811 0.982811i −0.0170434 0.999855i \(-0.505425\pi\)
0.999855 + 0.0170434i \(0.00542535\pi\)
\(522\) 233.498 247.826i 0.447315 0.474762i
\(523\) −99.4645 + 240.128i −0.190181 + 0.459137i −0.989994 0.141113i \(-0.954932\pi\)
0.799813 + 0.600249i \(0.204932\pi\)
\(524\) −57.6652 + 166.621i −0.110048 + 0.317979i
\(525\) −10.8635 26.2269i −0.0206924 0.0499559i
\(526\) 294.237 132.266i 0.559386 0.251457i
\(527\) −99.3420 −0.188505
\(528\) −22.3629 186.987i −0.0423540 0.354143i
\(529\) 872.093i 1.64857i
\(530\) −462.521 + 207.914i −0.872681 + 0.392290i
\(531\) −82.8253 + 34.3074i −0.155980 + 0.0646090i
\(532\) 314.270 152.669i 0.590733 0.286972i
\(533\) −199.623 82.6865i −0.374527 0.155134i
\(534\) 20.8197 22.0971i 0.0389881 0.0413804i
\(535\) 417.971 + 417.971i 0.781253 + 0.781253i
\(536\) 558.285 668.056i 1.04158 1.24637i
\(537\) 2.44694 + 2.44694i 0.00455668 + 0.00455668i
\(538\) 18.1768 + 610.648i 0.0337859 + 1.13503i
\(539\) 134.606 + 55.7556i 0.249733 + 0.103443i
\(540\) 264.728 15.7740i 0.490238 0.0292111i
\(541\) −294.307 + 121.906i −0.544006 + 0.225335i −0.637725 0.770264i \(-0.720124\pi\)
0.0937191 + 0.995599i \(0.470124\pi\)
\(542\) −482.979 183.419i −0.891106 0.338411i
\(543\) 149.181i 0.274734i
\(544\) −131.864 32.8164i −0.242397 0.0603242i
\(545\) 989.027 1.81473
\(546\) −14.3975 + 37.9117i −0.0263691 + 0.0694354i
\(547\) 223.101 + 538.614i 0.407863 + 0.984669i 0.985699 + 0.168516i \(0.0538974\pi\)
−0.577836 + 0.816153i \(0.696103\pi\)
\(548\) 552.693 32.9325i 1.00856 0.0600959i
\(549\) 59.3978 143.399i 0.108193 0.261200i
\(550\) −789.488 + 23.5002i −1.43543 + 0.0427277i
\(551\) −457.869 + 457.869i −0.830978 + 0.830978i
\(552\) −168.661 + 15.0970i −0.305546 + 0.0273496i
\(553\) 172.008 172.008i 0.311045 0.311045i
\(554\) 337.636 + 318.116i 0.609450 + 0.574217i
\(555\) 60.1932 145.319i 0.108456 0.261836i
\(556\) −927.846 + 450.737i −1.66879 + 0.810679i
\(557\) −35.8915 86.6497i −0.0644371 0.155565i 0.888381 0.459107i \(-0.151831\pi\)
−0.952818 + 0.303542i \(0.901831\pi\)
\(558\) 166.516 + 370.429i 0.298416 + 0.663851i
\(559\) −190.559 −0.340893
\(560\) 244.756 137.462i 0.437064 0.245469i
\(561\) 49.9805i 0.0890917i
\(562\) −208.610 464.071i −0.371192 0.825748i
\(563\) 994.883 412.094i 1.76711 0.731961i 0.771729 0.635951i \(-0.219392\pi\)
0.995380 0.0960098i \(-0.0306080\pi\)
\(564\) −1.76305 + 5.09424i −0.00312597 + 0.00903234i
\(565\) −566.774 234.765i −1.00314 0.415514i
\(566\) −200.135 188.565i −0.353595 0.333153i
\(567\) −135.576 135.576i −0.239110 0.239110i
\(568\) 379.522 + 118.826i 0.668173 + 0.209201i
\(569\) −240.003 240.003i −0.421797 0.421797i 0.464025 0.885822i \(-0.346405\pi\)
−0.885822 + 0.464025i \(0.846405\pi\)
\(570\) −247.492 + 7.36696i −0.434197 + 0.0129245i
\(571\) −684.345 283.465i −1.19850 0.496436i −0.307987 0.951390i \(-0.599655\pi\)
−0.890515 + 0.454955i \(0.849655\pi\)
\(572\) 843.892 + 748.980i 1.47534 + 1.30941i
\(573\) −62.9831 + 26.0885i −0.109918 + 0.0455296i
\(574\) −29.9508 + 78.8668i −0.0521792 + 0.137399i
\(575\) 710.216i 1.23516i
\(576\) 98.6620 + 546.703i 0.171288 + 0.949137i
\(577\) −881.455 −1.52765 −0.763826 0.645423i \(-0.776681\pi\)
−0.763826 + 0.645423i \(0.776681\pi\)
\(578\) −506.632 192.401i −0.876526 0.332874i
\(579\) 5.18795 + 12.5248i 0.00896018 + 0.0216318i
\(580\) −345.340 + 389.102i −0.595413 + 0.670865i
\(581\) 83.6875 202.040i 0.144040 0.347744i
\(582\) 0.974235 + 32.7294i 0.00167394 + 0.0562360i
\(583\) −562.736 + 562.736i −0.965242 + 0.965242i
\(584\) 974.763 + 305.193i 1.66912 + 0.522591i
\(585\) −551.617 + 551.617i −0.942936 + 0.942936i
\(586\) −508.019 + 539.191i −0.866927 + 0.920121i
\(587\) −230.923 + 557.498i −0.393396 + 0.949741i 0.595799 + 0.803133i \(0.296835\pi\)
−0.989195 + 0.146607i \(0.953165\pi\)
\(588\) 14.9630 + 5.17847i 0.0254472 + 0.00880693i
\(589\) −295.563 713.552i −0.501805 1.21146i
\(590\) 124.934 56.1605i 0.211752 0.0951872i
\(591\) 3.79906 0.00642820
\(592\) 646.152 + 181.383i 1.09147 + 0.306389i
\(593\) 51.5476i 0.0869269i −0.999055 0.0434634i \(-0.986161\pi\)
0.999055 0.0434634i \(-0.0138392\pi\)
\(594\) 379.602 170.640i 0.639061 0.287272i
\(595\) −68.8313 + 28.5109i −0.115683 + 0.0479174i
\(596\) −173.476 357.102i −0.291067 0.599164i
\(597\) 120.622 + 49.9633i 0.202047 + 0.0836907i
\(598\) 695.756 738.447i 1.16347 1.23486i
\(599\) 258.148 + 258.148i 0.430965 + 0.430965i 0.888957 0.457991i \(-0.151431\pi\)
−0.457991 + 0.888957i \(0.651431\pi\)
\(600\) −85.4947 + 7.65269i −0.142491 + 0.0127545i
\(601\) −7.74890 7.74890i −0.0128933 0.0128933i 0.700631 0.713524i \(-0.252902\pi\)
−0.713524 + 0.700631i \(0.752902\pi\)
\(602\) 2.21370 + 74.3690i 0.00367724 + 0.123536i
\(603\) 872.741 + 361.501i 1.44733 + 0.599504i
\(604\) −4.88773 82.0288i −0.00809227 0.135809i
\(605\) −1912.78 + 792.299i −3.16162 + 1.30958i
\(606\) 125.662 + 47.7221i 0.207363 + 0.0787493i
\(607\) 1176.82i 1.93874i 0.245598 + 0.969372i \(0.421016\pi\)
−0.245598 + 0.969372i \(0.578984\pi\)
\(608\) −156.609 1044.78i −0.257580 1.71840i
\(609\) −29.3446 −0.0481849
\(610\) −84.1951 + 221.703i −0.138025 + 0.363448i
\(611\) −12.3602 29.8401i −0.0202294 0.0488381i
\(612\) −8.76974 147.179i −0.0143296 0.240488i
\(613\) 104.966 253.411i 0.171234 0.413395i −0.814844 0.579681i \(-0.803177\pi\)
0.986078 + 0.166286i \(0.0531773\pi\)
\(614\) 1019.09 30.3348i 1.65976 0.0494051i
\(615\) 42.2744 42.2744i 0.0687389 0.0687389i
\(616\) 282.499 338.044i 0.458602 0.548773i
\(617\) 420.493 420.493i 0.681512 0.681512i −0.278829 0.960341i \(-0.589946\pi\)
0.960341 + 0.278829i \(0.0899462\pi\)
\(618\) 53.2031 + 50.1273i 0.0860891 + 0.0811122i
\(619\) −330.219 + 797.219i −0.533471 + 1.28791i 0.395739 + 0.918363i \(0.370488\pi\)
−0.929210 + 0.369551i \(0.879512\pi\)
\(620\) −271.148 558.160i −0.437335 0.900258i
\(621\) −143.214 345.750i −0.230619 0.556763i
\(622\) −232.313 516.799i −0.373493 0.830867i
\(623\) 71.0229 0.114002
\(624\) 96.3900 + 75.7971i 0.154471 + 0.121470i
\(625\) 739.338i 1.18294i
\(626\) 367.597 + 817.750i 0.587215 + 1.30631i
\(627\) −358.999 + 148.702i −0.572566 + 0.237165i
\(628\) 1132.63 + 391.986i 1.80355 + 0.624182i
\(629\) −164.560 68.1630i −0.261622 0.108367i
\(630\) 221.686 + 208.870i 0.351883 + 0.331540i
\(631\) −520.950 520.950i −0.825594 0.825594i 0.161309 0.986904i \(-0.448428\pi\)
−0.986904 + 0.161309i \(0.948428\pi\)
\(632\) −340.942 651.747i −0.539465 1.03124i
\(633\) 28.6861 + 28.6861i 0.0453177 + 0.0453177i
\(634\) 302.412 9.00172i 0.476991 0.0141983i
\(635\) −52.2583 21.6461i −0.0822966 0.0340884i
\(636\) −57.4101 + 64.6853i −0.0902675 + 0.101706i
\(637\) −87.6472 + 36.3047i −0.137594 + 0.0569932i
\(638\) −289.864 + 763.274i −0.454333 + 1.19635i
\(639\) 431.504i 0.675280i
\(640\) −175.533 830.456i −0.274270 1.29759i
\(641\) 602.947 0.940634 0.470317 0.882497i \(-0.344140\pi\)
0.470317 + 0.882497i \(0.344140\pi\)
\(642\) 94.2460 + 35.7913i 0.146801 + 0.0557497i
\(643\) −224.424 541.808i −0.349027 0.842625i −0.996735 0.0807370i \(-0.974273\pi\)
0.647709 0.761888i \(-0.275727\pi\)
\(644\) −296.274 262.952i −0.460053 0.408311i
\(645\) 20.1775 48.7128i 0.0312829 0.0755237i
\(646\) 8.34238 + 280.262i 0.0129139 + 0.433841i
\(647\) 188.826 188.826i 0.291848 0.291848i −0.545962 0.837810i \(-0.683836\pi\)
0.837810 + 0.545962i \(0.183836\pi\)
\(648\) −513.703 + 268.728i −0.792751 + 0.414704i
\(649\) 152.003 152.003i 0.234211 0.234211i
\(650\) 352.680 374.320i 0.542584 0.575877i
\(651\) 13.3944 32.3369i 0.0205751 0.0496726i
\(652\) −100.752 + 291.118i −0.154528 + 0.446501i
\(653\) 251.393 + 606.917i 0.384982 + 0.929429i 0.990986 + 0.133967i \(0.0427716\pi\)
−0.606004 + 0.795462i \(0.707228\pi\)
\(654\) 153.851 69.1595i 0.235246 0.105749i
\(655\) 292.303 0.446263
\(656\) 200.518 + 157.679i 0.305667 + 0.240364i
\(657\) 1108.27i 1.68687i
\(658\) −11.5020 + 5.17041i −0.0174803 + 0.00785777i
\(659\) −61.0129 + 25.2724i −0.0925840 + 0.0383495i −0.428495 0.903544i \(-0.640956\pi\)
0.335911 + 0.941894i \(0.390956\pi\)
\(660\) −280.819 + 136.419i −0.425483 + 0.206695i
\(661\) 378.693 + 156.860i 0.572910 + 0.237307i 0.650279 0.759695i \(-0.274652\pi\)
−0.0773692 + 0.997003i \(0.524652\pi\)
\(662\) −665.872 + 706.729i −1.00585 + 1.06757i
\(663\) −23.0122 23.0122i −0.0347093 0.0347093i
\(664\) −507.394 424.022i −0.764148 0.638588i
\(665\) −409.575 409.575i −0.615902 0.615902i
\(666\) 21.6660 + 727.869i 0.0325316 + 1.09290i
\(667\) 678.271 + 280.949i 1.01690 + 0.421213i
\(668\) −367.956 + 21.9248i −0.550832 + 0.0328216i
\(669\) 119.906 49.6666i 0.179231 0.0742400i
\(670\) −1349.31 512.420i −2.01389 0.764806i
\(671\) 372.178i 0.554662i
\(672\) 28.4614 38.4984i 0.0423533 0.0572893i
\(673\) 1025.05 1.52310 0.761551 0.648105i \(-0.224438\pi\)
0.761551 + 0.648105i \(0.224438\pi\)
\(674\) −95.4900 + 251.445i −0.141677 + 0.373064i
\(675\) −72.5954 175.261i −0.107549 0.259646i
\(676\) −58.5946 + 3.49139i −0.0866784 + 0.00516478i
\(677\) 120.333 290.510i 0.177745 0.429114i −0.809748 0.586778i \(-0.800396\pi\)
0.987493 + 0.157664i \(0.0503963\pi\)
\(678\) −104.583 + 3.11305i −0.154252 + 0.00459152i
\(679\) −54.1638 + 54.1638i −0.0797699 + 0.0797699i
\(680\) 20.0842 + 224.377i 0.0295355 + 0.329967i
\(681\) −62.2111 + 62.2111i −0.0913526 + 0.0913526i
\(682\) −708.796 667.819i −1.03929 0.979207i
\(683\) 283.773 685.088i 0.415480 1.00306i −0.568161 0.822917i \(-0.692345\pi\)
0.983641 0.180140i \(-0.0576551\pi\)
\(684\) 1031.06 500.879i 1.50740 0.732279i
\(685\) −351.262 848.021i −0.512791 1.23799i
\(686\) 15.1867 + 33.7841i 0.0221380 + 0.0492479i
\(687\) −193.911 −0.282258
\(688\) 216.598 + 60.8017i 0.314823 + 0.0883745i
\(689\) 518.195i 0.752098i
\(690\) 115.099 + 256.048i 0.166811 + 0.371084i
\(691\) 958.168 396.886i 1.38664 0.574365i 0.440392 0.897806i \(-0.354840\pi\)
0.946248 + 0.323441i \(0.104840\pi\)
\(692\) −365.051 + 1054.80i −0.527530 + 1.52427i
\(693\) 441.617 + 182.924i 0.637255 + 0.263959i
\(694\) 480.313 + 452.545i 0.692093 + 0.652082i
\(695\) 1209.22 + 1209.22i 1.73989 + 1.73989i
\(696\) −26.5117 + 84.6764i −0.0380915 + 0.121662i
\(697\) −47.8718 47.8718i −0.0686826 0.0686826i
\(698\) −21.7992 + 0.648884i −0.0312310 + 0.000929633i
\(699\) 17.5923 + 7.28697i 0.0251678 + 0.0104248i
\(700\) −150.182 133.291i −0.214545 0.190416i
\(701\) 788.829 326.743i 1.12529 0.466111i 0.259113 0.965847i \(-0.416570\pi\)
0.866177 + 0.499737i \(0.166570\pi\)
\(702\) −96.2115 + 253.345i −0.137053 + 0.360890i
\(703\) 1384.80i 1.96984i
\(704\) −720.230 1120.59i −1.02305 1.59174i
\(705\) 8.93681 0.0126763
\(706\) 386.489 + 146.775i 0.547435 + 0.207896i
\(707\) 120.335 + 290.515i 0.170206 + 0.410912i
\(708\) 15.5073 17.4724i 0.0219030 0.0246786i
\(709\) 307.586 742.579i 0.433831 1.04736i −0.544210 0.838949i \(-0.683171\pi\)
0.978041 0.208412i \(-0.0668295\pi\)
\(710\) −19.6162 659.006i −0.0276285 0.928177i
\(711\) 564.327 564.327i 0.793708 0.793708i
\(712\) 64.1665 204.943i 0.0901214 0.287841i
\(713\) −619.195 + 619.195i −0.868436 + 0.868436i
\(714\) −8.71359 + 9.24825i −0.0122039 + 0.0129527i
\(715\) 715.835 1728.18i 1.00117 2.41703i
\(716\) 23.1317 + 8.00556i 0.0323068 + 0.0111809i
\(717\) −50.2778 121.381i −0.0701225 0.169291i
\(718\) 474.358 213.235i 0.660666 0.296984i
\(719\) −650.989 −0.905409 −0.452705 0.891661i \(-0.649541\pi\)
−0.452705 + 0.891661i \(0.649541\pi\)
\(720\) 802.998 450.989i 1.11527 0.626374i
\(721\) 171.001i 0.237172i
\(722\) −1329.71 + 597.736i −1.84171 + 0.827889i
\(723\) −123.712 + 51.2432i −0.171109 + 0.0708758i
\(724\) 461.092 + 949.161i 0.636867 + 1.31100i
\(725\) 343.816 + 142.413i 0.474229 + 0.196432i
\(726\) −242.145 + 257.003i −0.333533 + 0.353999i
\(727\) −566.605 566.605i −0.779374 0.779374i 0.200350 0.979724i \(-0.435792\pi\)
−0.979724 + 0.200350i \(0.935792\pi\)
\(728\) 25.5744 + 285.713i 0.0351297 + 0.392464i
\(729\) −408.818 408.818i −0.560793 0.560793i
\(730\) −50.3822 1692.59i −0.0690167 2.31861i
\(731\) −55.1626 22.8491i −0.0754618 0.0312573i
\(732\) 2.40578 + 40.3752i 0.00328659 + 0.0551574i
\(733\) 337.390 139.752i 0.460286 0.190657i −0.140477 0.990084i \(-0.544863\pi\)
0.600763 + 0.799427i \(0.294863\pi\)
\(734\) 337.108 + 128.022i 0.459275 + 0.174416i
\(735\) 26.2495i 0.0357136i
\(736\) −1026.44 + 617.358i −1.39463 + 0.838802i
\(737\) −2265.11 −3.07342
\(738\) −98.2632 + 258.747i −0.133148 + 0.350606i
\(739\) −353.835 854.233i −0.478802 1.15593i −0.960171 0.279413i \(-0.909860\pi\)
0.481369 0.876518i \(-0.340140\pi\)
\(740\) −66.1781 1110.64i −0.0894298 1.50086i
\(741\) 96.8258 233.758i 0.130669 0.315463i
\(742\) −202.235 + 6.01980i −0.272553 + 0.00811293i
\(743\) 51.9156 51.9156i 0.0698730 0.0698730i −0.671307 0.741180i \(-0.734267\pi\)
0.741180 + 0.671307i \(0.234267\pi\)
\(744\) −81.2096 67.8658i −0.109153 0.0912174i
\(745\) −465.396 + 465.396i −0.624692 + 0.624692i
\(746\) −205.150 193.290i −0.275000 0.259102i
\(747\) 274.563 662.854i 0.367555 0.887355i
\(748\) 154.481 + 318.000i 0.206525 + 0.425134i
\(749\) 90.2510 + 217.885i 0.120495 + 0.290901i
\(750\) −18.5300 41.2214i −0.0247066 0.0549619i
\(751\) −40.4258 −0.0538294 −0.0269147 0.999638i \(-0.508568\pi\)
−0.0269147 + 0.999638i \(0.508568\pi\)
\(752\) 4.52806 + 37.8613i 0.00602135 + 0.0503475i
\(753\) 73.6501i 0.0978089i
\(754\) −217.969 484.891i −0.289084 0.643091i
\(755\) −125.860 + 52.1330i −0.166702 + 0.0690504i
\(756\) 99.9899 + 34.6051i 0.132262 + 0.0457740i
\(757\) −317.598 131.553i −0.419548 0.173783i 0.162914 0.986640i \(-0.447911\pi\)