Properties

Label 273.2.bh.a.131.10
Level $273$
Weight $2$
Character 273.131
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bh (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 131.10
Character \(\chi\) \(=\) 273.131
Dual form 273.2.bh.a.248.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.09109 - 0.629943i) q^{2} +(-1.60797 + 0.643773i) q^{3} +(-0.206343 - 0.357397i) q^{4} +(-2.03837 + 3.53057i) q^{5} +(2.15998 + 0.310511i) q^{6} +(-1.74546 - 1.98831i) q^{7} +3.03971i q^{8} +(2.17111 - 2.07033i) q^{9} +O(q^{10})\) \(q+(-1.09109 - 0.629943i) q^{2} +(-1.60797 + 0.643773i) q^{3} +(-0.206343 - 0.357397i) q^{4} +(-2.03837 + 3.53057i) q^{5} +(2.15998 + 0.310511i) q^{6} +(-1.74546 - 1.98831i) q^{7} +3.03971i q^{8} +(2.17111 - 2.07033i) q^{9} +(4.44811 - 2.56812i) q^{10} +(3.44076 - 1.98652i) q^{11} +(0.561875 + 0.441844i) q^{12} -1.00000i q^{13} +(0.651937 + 3.26897i) q^{14} +(1.00475 - 6.98929i) q^{15} +(1.50216 - 2.60182i) q^{16} +(-2.62470 - 4.54611i) q^{17} +(-3.67308 + 0.891248i) q^{18} +(5.30173 + 3.06096i) q^{19} +1.68242 q^{20} +(4.08666 + 2.07346i) q^{21} -5.00559 q^{22} +(0.414985 + 0.239592i) q^{23} +(-1.95688 - 4.88775i) q^{24} +(-5.80994 - 10.0631i) q^{25} +(-0.629943 + 1.09109i) q^{26} +(-2.15825 + 4.72673i) q^{27} +(-0.350452 + 1.03410i) q^{28} -1.78061i q^{29} +(-5.49913 + 6.99303i) q^{30} +(4.02710 - 2.32505i) q^{31} +(1.98694 - 1.14716i) q^{32} +(-4.25375 + 5.40933i) q^{33} +6.61365i q^{34} +(10.5778 - 2.10954i) q^{35} +(-1.18792 - 0.348750i) q^{36} +(2.92747 - 5.07053i) q^{37} +(-3.85646 - 6.67958i) q^{38} +(0.643773 + 1.60797i) q^{39} +(-10.7319 - 6.19607i) q^{40} -1.16060 q^{41} +(-3.15277 - 4.83670i) q^{42} +5.39213 q^{43} +(-1.41995 - 0.819811i) q^{44} +(2.88391 + 11.8854i) q^{45} +(-0.301858 - 0.522834i) q^{46} +(0.613160 - 1.06202i) q^{47} +(-0.740442 + 5.15068i) q^{48} +(-0.906749 + 6.94102i) q^{49} +14.6397i q^{50} +(7.14710 + 5.62029i) q^{51} +(-0.357397 + 0.206343i) q^{52} +(-1.04632 + 0.604090i) q^{53} +(5.33242 - 3.79773i) q^{54} +16.1971i q^{55} +(6.04389 - 5.30569i) q^{56} +(-10.4956 - 1.50880i) q^{57} +(-1.12168 + 1.94281i) q^{58} +(0.358619 + 0.621146i) q^{59} +(-2.70527 + 1.08310i) q^{60} +(0.520590 + 0.300563i) q^{61} -5.85859 q^{62} +(-7.90605 - 0.703165i) q^{63} -8.89922 q^{64} +(3.53057 + 2.03837i) q^{65} +(8.04881 - 3.22246i) q^{66} +(-2.10955 - 3.65385i) q^{67} +(-1.08318 + 1.87612i) q^{68} +(-0.821525 - 0.118099i) q^{69} +(-12.8702 - 4.36168i) q^{70} -2.72226i q^{71} +(6.29321 + 6.59955i) q^{72} +(9.05584 - 5.22839i) q^{73} +(-6.38829 + 3.68828i) q^{74} +(15.8206 + 12.4409i) q^{75} -2.52643i q^{76} +(-9.95552 - 3.37390i) q^{77} +(0.310511 - 2.15998i) q^{78} +(-0.460495 + 0.797600i) q^{79} +(6.12392 + 10.6069i) q^{80} +(0.427455 - 8.98984i) q^{81} +(1.26633 + 0.731115i) q^{82} -6.85477 q^{83} +(-0.102208 - 1.88840i) q^{84} +21.4005 q^{85} +(-5.88332 - 3.39673i) q^{86} +(1.14631 + 2.86316i) q^{87} +(6.03845 + 10.4589i) q^{88} +(1.74131 - 3.01603i) q^{89} +(4.34049 - 14.7847i) q^{90} +(-1.98831 + 1.74546i) q^{91} -0.197752i q^{92} +(-4.97864 + 6.33114i) q^{93} +(-1.33803 + 0.772511i) q^{94} +(-21.6138 + 12.4787i) q^{95} +(-2.45642 + 3.12374i) q^{96} -6.17977i q^{97} +(5.36180 - 7.00211i) q^{98} +(3.35751 - 11.4365i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q + 32q^{4} - 4q^{7} - 4q^{9} + O(q^{10}) \) \( 64q + 32q^{4} - 4q^{7} - 4q^{9} - 12q^{10} - 30q^{12} + 12q^{15} - 16q^{16} - 10q^{18} + 10q^{21} - 8q^{22} + 36q^{24} - 36q^{25} - 20q^{28} - 22q^{30} + 12q^{31} + 36q^{36} - 36q^{40} + 48q^{42} - 32q^{43} - 6q^{45} - 48q^{46} + 36q^{49} - 16q^{51} - 54q^{54} - 8q^{57} - 12q^{58} + 16q^{60} - 72q^{61} - 86q^{63} - 48q^{64} - 78q^{66} + 32q^{67} - 4q^{70} + 62q^{72} + 48q^{73} + 48q^{75} - 20q^{78} - 64q^{79} + 28q^{81} + 72q^{82} - 18q^{84} + 64q^{85} + 60q^{87} + 44q^{88} + 8q^{91} - 38q^{93} + 72q^{94} + 66q^{96} - 68q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.09109 0.629943i −0.771520 0.445437i 0.0618968 0.998083i \(-0.480285\pi\)
−0.833416 + 0.552645i \(0.813618\pi\)
\(3\) −1.60797 + 0.643773i −0.928360 + 0.371683i
\(4\) −0.206343 0.357397i −0.103172 0.178698i
\(5\) −2.03837 + 3.53057i −0.911589 + 1.57892i −0.0997684 + 0.995011i \(0.531810\pi\)
−0.811820 + 0.583907i \(0.801523\pi\)
\(6\) 2.15998 + 0.310511i 0.881809 + 0.126765i
\(7\) −1.74546 1.98831i −0.659721 0.751510i
\(8\) 3.03971i 1.07470i
\(9\) 2.17111 2.07033i 0.723704 0.690111i
\(10\) 4.44811 2.56812i 1.40662 0.812111i
\(11\) 3.44076 1.98652i 1.03743 0.598959i 0.118324 0.992975i \(-0.462248\pi\)
0.919104 + 0.394016i \(0.128915\pi\)
\(12\) 0.561875 + 0.441844i 0.162199 + 0.127549i
\(13\) 1.00000i 0.277350i
\(14\) 0.651937 + 3.26897i 0.174237 + 0.873669i
\(15\) 1.00475 6.98929i 0.259426 1.80463i
\(16\) 1.50216 2.60182i 0.375540 0.650454i
\(17\) −2.62470 4.54611i −0.636583 1.10259i −0.986177 0.165693i \(-0.947014\pi\)
0.349594 0.936901i \(-0.386319\pi\)
\(18\) −3.67308 + 0.891248i −0.865753 + 0.210069i
\(19\) 5.30173 + 3.06096i 1.21630 + 0.702231i 0.964125 0.265450i \(-0.0855206\pi\)
0.252176 + 0.967681i \(0.418854\pi\)
\(20\) 1.68242 0.376200
\(21\) 4.08666 + 2.07346i 0.891782 + 0.452465i
\(22\) −5.00559 −1.06719
\(23\) 0.414985 + 0.239592i 0.0865303 + 0.0499583i 0.542641 0.839965i \(-0.317424\pi\)
−0.456110 + 0.889923i \(0.650758\pi\)
\(24\) −1.95688 4.88775i −0.399447 0.997708i
\(25\) −5.80994 10.0631i −1.16199 2.01262i
\(26\) −0.629943 + 1.09109i −0.123542 + 0.213981i
\(27\) −2.15825 + 4.72673i −0.415356 + 0.909659i
\(28\) −0.350452 + 1.03410i −0.0662292 + 0.195426i
\(29\) 1.78061i 0.330651i −0.986239 0.165326i \(-0.947133\pi\)
0.986239 0.165326i \(-0.0528675\pi\)
\(30\) −5.49913 + 6.99303i −1.00400 + 1.27675i
\(31\) 4.02710 2.32505i 0.723289 0.417591i −0.0926732 0.995697i \(-0.529541\pi\)
0.815962 + 0.578106i \(0.196208\pi\)
\(32\) 1.98694 1.14716i 0.351245 0.202791i
\(33\) −4.25375 + 5.40933i −0.740483 + 0.941644i
\(34\) 6.61365i 1.13423i
\(35\) 10.5778 2.10954i 1.78797 0.356577i
\(36\) −1.18792 0.348750i −0.197987 0.0581250i
\(37\) 2.92747 5.07053i 0.481273 0.833590i −0.518496 0.855080i \(-0.673508\pi\)
0.999769 + 0.0214906i \(0.00684119\pi\)
\(38\) −3.85646 6.67958i −0.625600 1.08357i
\(39\) 0.643773 + 1.60797i 0.103086 + 0.257481i
\(40\) −10.7319 6.19607i −1.69686 0.979684i
\(41\) −1.16060 −0.181256 −0.0906280 0.995885i \(-0.528887\pi\)
−0.0906280 + 0.995885i \(0.528887\pi\)
\(42\) −3.15277 4.83670i −0.486483 0.746319i
\(43\) 5.39213 0.822292 0.411146 0.911570i \(-0.365129\pi\)
0.411146 + 0.911570i \(0.365129\pi\)
\(44\) −1.41995 0.819811i −0.214066 0.123591i
\(45\) 2.88391 + 11.8854i 0.429908 + 1.77177i
\(46\) −0.301858 0.522834i −0.0445066 0.0770876i
\(47\) 0.613160 1.06202i 0.0894385 0.154912i −0.817835 0.575452i \(-0.804826\pi\)
0.907274 + 0.420540i \(0.138159\pi\)
\(48\) −0.740442 + 5.15068i −0.106874 + 0.743437i
\(49\) −0.906749 + 6.94102i −0.129536 + 0.991575i
\(50\) 14.6397i 2.07037i
\(51\) 7.14710 + 5.62029i 1.00079 + 0.786997i
\(52\) −0.357397 + 0.206343i −0.0495620 + 0.0286147i
\(53\) −1.04632 + 0.604090i −0.143722 + 0.0829782i −0.570137 0.821550i \(-0.693110\pi\)
0.426414 + 0.904528i \(0.359777\pi\)
\(54\) 5.33242 3.79773i 0.725651 0.516805i
\(55\) 16.1971i 2.18402i
\(56\) 6.04389 5.30569i 0.807648 0.709002i
\(57\) −10.4956 1.50880i −1.39017 0.199846i
\(58\) −1.12168 + 1.94281i −0.147284 + 0.255104i
\(59\) 0.358619 + 0.621146i 0.0466882 + 0.0808663i 0.888425 0.459022i \(-0.151800\pi\)
−0.841737 + 0.539888i \(0.818467\pi\)
\(60\) −2.70527 + 1.08310i −0.349249 + 0.139827i
\(61\) 0.520590 + 0.300563i 0.0666547 + 0.0384831i 0.532957 0.846142i \(-0.321081\pi\)
−0.466302 + 0.884625i \(0.654414\pi\)
\(62\) −5.85859 −0.744042
\(63\) −7.90605 0.703165i −0.996068 0.0885904i
\(64\) −8.89922 −1.11240
\(65\) 3.53057 + 2.03837i 0.437913 + 0.252829i
\(66\) 8.04881 3.22246i 0.990741 0.396658i
\(67\) −2.10955 3.65385i −0.257723 0.446389i 0.707909 0.706304i \(-0.249639\pi\)
−0.965631 + 0.259915i \(0.916305\pi\)
\(68\) −1.08318 + 1.87612i −0.131355 + 0.227513i
\(69\) −0.821525 0.118099i −0.0988999 0.0142175i
\(70\) −12.8702 4.36168i −1.53829 0.521321i
\(71\) 2.72226i 0.323073i −0.986867 0.161537i \(-0.948355\pi\)
0.986867 0.161537i \(-0.0516450\pi\)
\(72\) 6.29321 + 6.59955i 0.741662 + 0.777765i
\(73\) 9.05584 5.22839i 1.05991 0.611937i 0.134500 0.990914i \(-0.457057\pi\)
0.925406 + 0.378977i \(0.123724\pi\)
\(74\) −6.38829 + 3.68828i −0.742623 + 0.428754i
\(75\) 15.8206 + 12.4409i 1.82680 + 1.43655i
\(76\) 2.52643i 0.289801i
\(77\) −9.95552 3.37390i −1.13454 0.384492i
\(78\) 0.310511 2.15998i 0.0351584 0.244570i
\(79\) −0.460495 + 0.797600i −0.0518097 + 0.0897371i −0.890767 0.454460i \(-0.849832\pi\)
0.838957 + 0.544197i \(0.183166\pi\)
\(80\) 6.12392 + 10.6069i 0.684675 + 1.18589i
\(81\) 0.427455 8.98984i 0.0474950 0.998871i
\(82\) 1.26633 + 0.731115i 0.139843 + 0.0807381i
\(83\) −6.85477 −0.752409 −0.376204 0.926537i \(-0.622771\pi\)
−0.376204 + 0.926537i \(0.622771\pi\)
\(84\) −0.102208 1.88840i −0.0111518 0.206042i
\(85\) 21.4005 2.32121
\(86\) −5.88332 3.39673i −0.634414 0.366279i
\(87\) 1.14631 + 2.86316i 0.122897 + 0.306963i
\(88\) 6.03845 + 10.4589i 0.643701 + 1.11492i
\(89\) 1.74131 3.01603i 0.184578 0.319698i −0.758856 0.651258i \(-0.774242\pi\)
0.943434 + 0.331560i \(0.107575\pi\)
\(90\) 4.34049 14.7847i 0.457528 1.55845i
\(91\) −1.98831 + 1.74546i −0.208431 + 0.182974i
\(92\) 0.197752i 0.0206171i
\(93\) −4.97864 + 6.33114i −0.516261 + 0.656509i
\(94\) −1.33803 + 0.772511i −0.138007 + 0.0796785i
\(95\) −21.6138 + 12.4787i −2.21753 + 1.28029i
\(96\) −2.45642 + 3.12374i −0.250708 + 0.318815i
\(97\) 6.17977i 0.627461i −0.949512 0.313730i \(-0.898421\pi\)
0.949512 0.313730i \(-0.101579\pi\)
\(98\) 5.36180 7.00211i 0.541623 0.707319i
\(99\) 3.35751 11.4365i 0.337443 1.14941i
\(100\) −2.39768 + 4.15291i −0.239768 + 0.415291i
\(101\) −7.53077 13.0437i −0.749339 1.29789i −0.948140 0.317854i \(-0.897038\pi\)
0.198800 0.980040i \(-0.436296\pi\)
\(102\) −4.25769 10.6345i −0.421574 1.05297i
\(103\) −1.60002 0.923774i −0.157655 0.0910222i 0.419097 0.907941i \(-0.362347\pi\)
−0.576752 + 0.816919i \(0.695680\pi\)
\(104\) 3.03971 0.298068
\(105\) −15.6506 + 10.2017i −1.52734 + 0.995589i
\(106\) 1.52217 0.147846
\(107\) 10.6443 + 6.14548i 1.02902 + 0.594106i 0.916704 0.399566i \(-0.130839\pi\)
0.112318 + 0.993672i \(0.464173\pi\)
\(108\) 2.13466 0.203976i 0.205408 0.0196276i
\(109\) 1.25798 + 2.17888i 0.120493 + 0.208699i 0.919962 0.392008i \(-0.128219\pi\)
−0.799469 + 0.600707i \(0.794886\pi\)
\(110\) 10.2033 17.6726i 0.972842 1.68501i
\(111\) −1.44300 + 10.0379i −0.136964 + 0.952752i
\(112\) −7.79517 + 1.55460i −0.736574 + 0.146896i
\(113\) 11.4708i 1.07908i −0.841961 0.539539i \(-0.818599\pi\)
0.841961 0.539539i \(-0.181401\pi\)
\(114\) 10.5012 + 8.25785i 0.983526 + 0.773419i
\(115\) −1.69179 + 0.976755i −0.157760 + 0.0910829i
\(116\) −0.636385 + 0.367417i −0.0590869 + 0.0341138i
\(117\) −2.07033 2.17111i −0.191402 0.200719i
\(118\) 0.903637i 0.0831865i
\(119\) −4.45778 + 13.1538i −0.408644 + 1.20580i
\(120\) 21.2454 + 3.05416i 1.93943 + 0.278805i
\(121\) 2.39255 4.14401i 0.217504 0.376728i
\(122\) −0.378675 0.655884i −0.0342836 0.0593809i
\(123\) 1.86621 0.747166i 0.168271 0.0673697i
\(124\) −1.66193 0.959516i −0.149246 0.0861670i
\(125\) 26.9876 2.41384
\(126\) 8.18328 + 5.74758i 0.729025 + 0.512035i
\(127\) −9.67428 −0.858454 −0.429227 0.903197i \(-0.641214\pi\)
−0.429227 + 0.903197i \(0.641214\pi\)
\(128\) 5.73600 + 3.31168i 0.506995 + 0.292714i
\(129\) −8.67036 + 3.47131i −0.763383 + 0.305632i
\(130\) −2.56812 4.44811i −0.225239 0.390125i
\(131\) 11.0042 19.0598i 0.961438 1.66526i 0.242542 0.970141i \(-0.422019\pi\)
0.718896 0.695118i \(-0.244648\pi\)
\(132\) 2.81101 + 0.404100i 0.244667 + 0.0351724i
\(133\) −3.16782 15.8842i −0.274685 1.37734i
\(134\) 5.31559i 0.459197i
\(135\) −12.2887 17.2547i −1.05764 1.48505i
\(136\) 13.8189 7.97833i 1.18496 0.684136i
\(137\) 10.4974 6.06070i 0.896857 0.517801i 0.0206780 0.999786i \(-0.493418\pi\)
0.876179 + 0.481985i \(0.160084\pi\)
\(138\) 0.821964 + 0.646371i 0.0699703 + 0.0550228i
\(139\) 17.8189i 1.51138i −0.654932 0.755688i \(-0.727303\pi\)
0.654932 0.755688i \(-0.272697\pi\)
\(140\) −2.93659 3.34517i −0.248187 0.282718i
\(141\) −0.302238 + 2.10243i −0.0254530 + 0.177057i
\(142\) −1.71487 + 2.97024i −0.143909 + 0.249257i
\(143\) −1.98652 3.44076i −0.166121 0.287731i
\(144\) −2.12527 8.75880i −0.177105 0.729900i
\(145\) 6.28657 + 3.62955i 0.522071 + 0.301418i
\(146\) −13.1744 −1.09032
\(147\) −3.01042 11.7447i −0.248295 0.968684i
\(148\) −2.41625 −0.198615
\(149\) −15.8649 9.15960i −1.29970 0.750384i −0.319350 0.947637i \(-0.603465\pi\)
−0.980353 + 0.197253i \(0.936798\pi\)
\(150\) −9.42467 23.5402i −0.769521 1.92205i
\(151\) 11.2801 + 19.5377i 0.917963 + 1.58996i 0.802505 + 0.596645i \(0.203500\pi\)
0.115458 + 0.993312i \(0.463167\pi\)
\(152\) −9.30442 + 16.1157i −0.754688 + 1.30716i
\(153\) −15.1105 4.43612i −1.22161 0.358639i
\(154\) 8.73704 + 9.95265i 0.704051 + 0.802008i
\(155\) 18.9573i 1.52268i
\(156\) 0.441844 0.561875i 0.0353758 0.0449860i
\(157\) −11.4626 + 6.61791i −0.914812 + 0.528167i −0.881976 0.471294i \(-0.843787\pi\)
−0.0328357 + 0.999461i \(0.510454\pi\)
\(158\) 1.00489 0.580171i 0.0799444 0.0461559i
\(159\) 1.29354 1.64495i 0.102585 0.130453i
\(160\) 9.35338i 0.739449i
\(161\) −0.247957 1.24332i −0.0195417 0.0979870i
\(162\) −6.12948 + 9.53949i −0.481578 + 0.749493i
\(163\) 4.77942 8.27820i 0.374353 0.648399i −0.615877 0.787842i \(-0.711198\pi\)
0.990230 + 0.139444i \(0.0445314\pi\)
\(164\) 0.239483 + 0.414796i 0.0187005 + 0.0323902i
\(165\) −10.4273 26.0444i −0.811762 2.02755i
\(166\) 7.47920 + 4.31812i 0.580498 + 0.335151i
\(167\) 4.50777 0.348822 0.174411 0.984673i \(-0.444198\pi\)
0.174411 + 0.984673i \(0.444198\pi\)
\(168\) −6.30270 + 12.4223i −0.486264 + 0.958398i
\(169\) −1.00000 −0.0769231
\(170\) −23.3499 13.4811i −1.79086 1.03395i
\(171\) 17.8478 4.33066i 1.36486 0.331174i
\(172\) −1.11263 1.92713i −0.0848371 0.146942i
\(173\) −7.18061 + 12.4372i −0.545931 + 0.945581i 0.452616 + 0.891705i \(0.350491\pi\)
−0.998548 + 0.0538756i \(0.982843\pi\)
\(174\) 0.552899 3.84609i 0.0419151 0.291571i
\(175\) −9.86757 + 29.1167i −0.745918 + 2.20102i
\(176\) 11.9363i 0.899732i
\(177\) −0.976523 0.767912i −0.0734000 0.0577198i
\(178\) −3.79985 + 2.19385i −0.284811 + 0.164436i
\(179\) 1.71706 0.991345i 0.128339 0.0740966i −0.434456 0.900693i \(-0.643059\pi\)
0.562795 + 0.826596i \(0.309726\pi\)
\(180\) 3.65272 3.48316i 0.272258 0.259620i
\(181\) 0.881907i 0.0655516i −0.999463 0.0327758i \(-0.989565\pi\)
0.999463 0.0327758i \(-0.0104347\pi\)
\(182\) 3.26897 0.651937i 0.242312 0.0483248i
\(183\) −1.03059 0.148153i −0.0761830 0.0109518i
\(184\) −0.728289 + 1.26143i −0.0536902 + 0.0929942i
\(185\) 11.9346 + 20.6713i 0.877446 + 1.51978i
\(186\) 9.42042 3.77160i 0.690739 0.276547i
\(187\) −18.0619 10.4281i −1.32082 0.762575i
\(188\) −0.506085 −0.0369101
\(189\) 13.1653 3.95904i 0.957637 0.287977i
\(190\) 31.4436 2.28116
\(191\) 4.03878 + 2.33179i 0.292236 + 0.168723i 0.638950 0.769248i \(-0.279369\pi\)
−0.346714 + 0.937971i \(0.612702\pi\)
\(192\) 14.3096 5.72908i 1.03271 0.413461i
\(193\) 2.02530 + 3.50793i 0.145785 + 0.252506i 0.929665 0.368405i \(-0.120096\pi\)
−0.783881 + 0.620911i \(0.786763\pi\)
\(194\) −3.89291 + 6.74271i −0.279494 + 0.484098i
\(195\) −6.98929 1.00475i −0.500513 0.0719518i
\(196\) 2.66780 1.10816i 0.190557 0.0791545i
\(197\) 11.7757i 0.838983i 0.907759 + 0.419492i \(0.137792\pi\)
−0.907759 + 0.419492i \(0.862208\pi\)
\(198\) −10.8677 + 10.3632i −0.772333 + 0.736482i
\(199\) 4.71072 2.71974i 0.333934 0.192797i −0.323652 0.946176i \(-0.604911\pi\)
0.657586 + 0.753379i \(0.271577\pi\)
\(200\) 30.5889 17.6605i 2.16297 1.24879i
\(201\) 5.74434 + 4.51719i 0.405174 + 0.318618i
\(202\) 18.9758i 1.33513i
\(203\) −3.54041 + 3.10798i −0.248488 + 0.218138i
\(204\) 0.533918 3.71406i 0.0373818 0.260036i
\(205\) 2.36575 4.09759i 0.165231 0.286188i
\(206\) 1.16385 + 2.01585i 0.0810893 + 0.140451i
\(207\) 1.39701 0.338976i 0.0970991 0.0235605i
\(208\) −2.60182 1.50216i −0.180403 0.104156i
\(209\) 24.3226 1.68243
\(210\) 23.5028 1.27206i 1.62185 0.0877808i
\(211\) −3.86835 −0.266308 −0.133154 0.991095i \(-0.542510\pi\)
−0.133154 + 0.991095i \(0.542510\pi\)
\(212\) 0.431800 + 0.249300i 0.0296562 + 0.0171220i
\(213\) 1.75252 + 4.37731i 0.120081 + 0.299928i
\(214\) −7.74261 13.4106i −0.529274 0.916729i
\(215\) −10.9912 + 19.0373i −0.749592 + 1.29833i
\(216\) −14.3679 6.56046i −0.977611 0.446383i
\(217\) −11.6521 3.94885i −0.790993 0.268065i
\(218\) 3.16982i 0.214687i
\(219\) −11.1956 + 14.2370i −0.756528 + 0.962047i
\(220\) 5.78880 3.34216i 0.390281 0.225329i
\(221\) −4.54611 + 2.62470i −0.305805 + 0.176556i
\(222\) 7.89774 10.0432i 0.530061 0.674058i
\(223\) 11.6117i 0.777576i 0.921327 + 0.388788i \(0.127106\pi\)
−0.921327 + 0.388788i \(0.872894\pi\)
\(224\) −5.74904 1.94833i −0.384124 0.130178i
\(225\) −33.4480 9.81964i −2.22987 0.654643i
\(226\) −7.22592 + 12.5157i −0.480661 + 0.832530i
\(227\) 11.6549 + 20.1869i 0.773563 + 1.33985i 0.935598 + 0.353066i \(0.114861\pi\)
−0.162035 + 0.986785i \(0.551806\pi\)
\(228\) 1.62645 + 4.06241i 0.107714 + 0.269040i
\(229\) 7.91707 + 4.57092i 0.523174 + 0.302055i 0.738232 0.674546i \(-0.235661\pi\)
−0.215058 + 0.976601i \(0.568994\pi\)
\(230\) 2.46120 0.162287
\(231\) 18.1802 0.983982i 1.19617 0.0647413i
\(232\) 5.41254 0.355351
\(233\) 7.35834 + 4.24834i 0.482061 + 0.278318i 0.721275 0.692649i \(-0.243556\pi\)
−0.239214 + 0.970967i \(0.576890\pi\)
\(234\) 0.891248 + 3.67308i 0.0582627 + 0.240117i
\(235\) 2.49970 + 4.32960i 0.163062 + 0.282432i
\(236\) 0.147997 0.256338i 0.00963378 0.0166862i
\(237\) 0.226986 1.57897i 0.0147443 0.102565i
\(238\) 13.1500 11.5438i 0.852386 0.748276i
\(239\) 11.1177i 0.719141i −0.933118 0.359571i \(-0.882923\pi\)
0.933118 0.359571i \(-0.117077\pi\)
\(240\) −16.6755 13.1132i −1.07640 0.846453i
\(241\) −16.8355 + 9.72000i −1.08447 + 0.626120i −0.932099 0.362203i \(-0.882025\pi\)
−0.152372 + 0.988323i \(0.548691\pi\)
\(242\) −5.22098 + 3.01434i −0.335617 + 0.193769i
\(243\) 5.10009 + 14.7305i 0.327171 + 0.944965i
\(244\) 0.248076i 0.0158815i
\(245\) −22.6575 17.3497i −1.44753 1.10843i
\(246\) −2.50689 0.360380i −0.159833 0.0229770i
\(247\) 3.06096 5.30173i 0.194764 0.337341i
\(248\) 7.06747 + 12.2412i 0.448785 + 0.777318i
\(249\) 11.0222 4.41292i 0.698506 0.279657i
\(250\) −29.4460 17.0006i −1.86233 1.07522i
\(251\) 18.3467 1.15804 0.579018 0.815315i \(-0.303436\pi\)
0.579018 + 0.815315i \(0.303436\pi\)
\(252\) 1.38005 + 2.97069i 0.0869350 + 0.187136i
\(253\) 1.90382 0.119692
\(254\) 10.5555 + 6.09425i 0.662314 + 0.382387i
\(255\) −34.4113 + 13.7771i −2.15492 + 0.862753i
\(256\) 4.72688 + 8.18720i 0.295430 + 0.511700i
\(257\) 4.97729 8.62091i 0.310475 0.537758i −0.667991 0.744170i \(-0.732845\pi\)
0.978465 + 0.206412i \(0.0661787\pi\)
\(258\) 11.6469 + 1.67431i 0.725104 + 0.104238i
\(259\) −15.1916 + 3.02968i −0.943957 + 0.188255i
\(260\) 1.68242i 0.104339i
\(261\) −3.68646 3.86591i −0.228186 0.239294i
\(262\) −24.0131 + 13.8640i −1.48354 + 0.856520i
\(263\) −19.3690 + 11.1827i −1.19434 + 0.689553i −0.959288 0.282429i \(-0.908860\pi\)
−0.235053 + 0.971983i \(0.575526\pi\)
\(264\) −16.4428 12.9302i −1.01198 0.795798i
\(265\) 4.92545i 0.302568i
\(266\) −6.54978 + 19.3268i −0.401593 + 1.18500i
\(267\) −0.858322 + 5.97068i −0.0525284 + 0.365400i
\(268\) −0.870583 + 1.50789i −0.0531793 + 0.0921093i
\(269\) −14.1909 24.5793i −0.865232 1.49863i −0.866816 0.498627i \(-0.833838\pi\)
0.00158419 0.999999i \(-0.499496\pi\)
\(270\) 2.53866 + 26.5677i 0.154498 + 1.61686i
\(271\) 5.76746 + 3.32984i 0.350348 + 0.202274i 0.664839 0.746987i \(-0.268500\pi\)
−0.314490 + 0.949261i \(0.601834\pi\)
\(272\) −15.7709 −0.956249
\(273\) 2.07346 4.08666i 0.125491 0.247336i
\(274\) −15.2716 −0.922591
\(275\) −39.9812 23.0832i −2.41096 1.39197i
\(276\) 0.127308 + 0.317979i 0.00766302 + 0.0191401i
\(277\) 4.49155 + 7.77958i 0.269871 + 0.467430i 0.968828 0.247733i \(-0.0796857\pi\)
−0.698957 + 0.715163i \(0.746352\pi\)
\(278\) −11.2249 + 19.4420i −0.673223 + 1.16606i
\(279\) 3.92967 13.3854i 0.235263 0.801361i
\(280\) 6.41239 + 32.1533i 0.383214 + 1.92153i
\(281\) 15.7713i 0.940839i 0.882443 + 0.470420i \(0.155897\pi\)
−0.882443 + 0.470420i \(0.844103\pi\)
\(282\) 1.65418 2.10356i 0.0985052 0.125265i
\(283\) 11.7661 6.79318i 0.699424 0.403813i −0.107709 0.994182i \(-0.534351\pi\)
0.807133 + 0.590370i \(0.201018\pi\)
\(284\) −0.972928 + 0.561720i −0.0577327 + 0.0333320i
\(285\) 26.7208 33.9798i 1.58280 2.01279i
\(286\) 5.00559i 0.295987i
\(287\) 2.02579 + 2.30764i 0.119578 + 0.136216i
\(288\) 1.93887 6.60424i 0.114249 0.389159i
\(289\) −5.27810 + 9.14193i −0.310476 + 0.537761i
\(290\) −4.57282 7.92036i −0.268525 0.465100i
\(291\) 3.97837 + 9.93687i 0.233216 + 0.582509i
\(292\) −3.73722 2.15769i −0.218704 0.126269i
\(293\) −2.31675 −0.135346 −0.0676730 0.997708i \(-0.521557\pi\)
−0.0676730 + 0.997708i \(0.521557\pi\)
\(294\) −4.11382 + 14.7109i −0.239923 + 0.857959i
\(295\) −2.92400 −0.170242
\(296\) 15.4129 + 8.89866i 0.895859 + 0.517224i
\(297\) 1.96373 + 20.5509i 0.113947 + 1.19249i
\(298\) 11.5401 + 19.9880i 0.668498 + 1.15787i
\(299\) 0.239592 0.414985i 0.0138559 0.0239992i
\(300\) 1.18186 8.22130i 0.0682348 0.474657i
\(301\) −9.41173 10.7212i −0.542483 0.617961i
\(302\) 28.4233i 1.63558i
\(303\) 20.5064 + 16.1257i 1.17806 + 0.926396i
\(304\) 15.9281 9.19608i 0.913538 0.527431i
\(305\) −2.12231 + 1.22532i −0.121523 + 0.0701615i
\(306\) 13.6924 + 14.3590i 0.782745 + 0.820848i
\(307\) 8.37962i 0.478250i 0.970989 + 0.239125i \(0.0768606\pi\)
−0.970989 + 0.239125i \(0.923139\pi\)
\(308\) 0.848433 + 4.25425i 0.0483440 + 0.242409i
\(309\) 3.16749 + 0.455345i 0.180192 + 0.0259037i
\(310\) 11.9420 20.6842i 0.678260 1.17478i
\(311\) 0.605170 + 1.04819i 0.0343161 + 0.0594372i 0.882673 0.469987i \(-0.155741\pi\)
−0.848357 + 0.529424i \(0.822408\pi\)
\(312\) −4.88775 + 1.95688i −0.276715 + 0.110787i
\(313\) −17.8410 10.3005i −1.00843 0.582219i −0.0977007 0.995216i \(-0.531149\pi\)
−0.910733 + 0.412997i \(0.864482\pi\)
\(314\) 16.6756 0.941061
\(315\) 18.5981 26.4795i 1.04788 1.49195i
\(316\) 0.380080 0.0213812
\(317\) 23.9486 + 13.8267i 1.34509 + 0.776586i 0.987549 0.157312i \(-0.0502830\pi\)
0.357538 + 0.933899i \(0.383616\pi\)
\(318\) −2.44760 + 0.979933i −0.137255 + 0.0549519i
\(319\) −3.53722 6.12665i −0.198047 0.343027i
\(320\) 18.1399 31.4193i 1.01405 1.75639i
\(321\) −21.0719 3.02922i −1.17612 0.169075i
\(322\) −0.512674 + 1.51277i −0.0285702 + 0.0843035i
\(323\) 32.1364i 1.78811i
\(324\) −3.30114 + 1.70222i −0.183397 + 0.0945679i
\(325\) −10.0631 + 5.80994i −0.558201 + 0.322277i
\(326\) −10.4296 + 6.02153i −0.577642 + 0.333502i
\(327\) −3.42550 2.69372i −0.189430 0.148963i
\(328\) 3.52790i 0.194796i
\(329\) −3.18188 + 0.634567i −0.175423 + 0.0349848i
\(330\) −5.02937 + 34.9855i −0.276858 + 1.92589i
\(331\) 11.2983 19.5693i 0.621012 1.07562i −0.368285 0.929713i \(-0.620055\pi\)
0.989298 0.145912i \(-0.0466117\pi\)
\(332\) 1.41443 + 2.44987i 0.0776272 + 0.134454i
\(333\) −4.14181 17.0695i −0.226970 0.935404i
\(334\) −4.91840 2.83964i −0.269123 0.155378i
\(335\) 17.2002 0.939748
\(336\) 11.5336 7.51807i 0.629207 0.410144i
\(337\) −14.6351 −0.797226 −0.398613 0.917119i \(-0.630508\pi\)
−0.398613 + 0.917119i \(0.630508\pi\)
\(338\) 1.09109 + 0.629943i 0.0593477 + 0.0342644i
\(339\) 7.38456 + 18.4446i 0.401074 + 1.00177i
\(340\) −4.41584 7.64847i −0.239483 0.414796i
\(341\) 9.23752 15.9999i 0.500240 0.866441i
\(342\) −22.2017 6.51797i −1.20053 0.352451i
\(343\) 15.3836 10.3124i 0.830636 0.556816i
\(344\) 16.3905i 0.883717i
\(345\) 2.09153 2.65972i 0.112604 0.143194i
\(346\) 15.6694 9.04675i 0.842394 0.486356i
\(347\) 10.7104 6.18367i 0.574966 0.331957i −0.184164 0.982895i \(-0.558958\pi\)
0.759130 + 0.650939i \(0.225624\pi\)
\(348\) 0.786752 1.00048i 0.0421743 0.0536314i
\(349\) 26.7056i 1.42952i 0.699372 + 0.714758i \(0.253463\pi\)
−0.699372 + 0.714758i \(0.746537\pi\)
\(350\) 29.1083 25.5530i 1.55590 1.36587i
\(351\) 4.72673 + 2.15825i 0.252294 + 0.115199i
\(352\) 4.55772 7.89421i 0.242928 0.420763i
\(353\) −15.3376 26.5655i −0.816337 1.41394i −0.908364 0.418181i \(-0.862668\pi\)
0.0920268 0.995757i \(-0.470665\pi\)
\(354\) 0.581737 + 1.45302i 0.0309190 + 0.0772270i
\(355\) 9.61113 + 5.54899i 0.510106 + 0.294510i
\(356\) −1.43723 −0.0761728
\(357\) −1.30009 24.0206i −0.0688081 1.27131i
\(358\) −2.49796 −0.132022
\(359\) −24.2568 14.0047i −1.28023 0.739139i −0.303336 0.952884i \(-0.598101\pi\)
−0.976890 + 0.213745i \(0.931434\pi\)
\(360\) −36.1281 + 8.76624i −1.90412 + 0.462022i
\(361\) 9.23889 + 16.0022i 0.486257 + 0.842223i
\(362\) −0.555551 + 0.962243i −0.0291991 + 0.0505744i
\(363\) −1.17933 + 8.20369i −0.0618988 + 0.430582i
\(364\) 1.03410 + 0.350452i 0.0542013 + 0.0183687i
\(365\) 42.6297i 2.23134i
\(366\) 1.03114 + 0.810859i 0.0538984 + 0.0423843i
\(367\) 8.33427 4.81179i 0.435045 0.251174i −0.266448 0.963849i \(-0.585850\pi\)
0.701494 + 0.712676i \(0.252517\pi\)
\(368\) 1.24675 0.719809i 0.0649911 0.0375227i
\(369\) −2.51980 + 2.40284i −0.131176 + 0.125087i
\(370\) 30.0724i 1.56339i
\(371\) 3.02742 + 1.02598i 0.157176 + 0.0532664i
\(372\) 3.29004 + 0.472963i 0.170580 + 0.0245220i
\(373\) 17.8471 30.9120i 0.924086 1.60056i 0.131060 0.991374i \(-0.458162\pi\)
0.793025 0.609189i \(-0.208505\pi\)
\(374\) 13.1382 + 22.7560i 0.679358 + 1.17668i
\(375\) −43.3951 + 17.3739i −2.24092 + 0.897184i
\(376\) 3.22824 + 1.86383i 0.166484 + 0.0961196i
\(377\) −1.78061 −0.0917061
\(378\) −16.8586 3.97373i −0.867112 0.204387i
\(379\) 27.9756 1.43701 0.718504 0.695523i \(-0.244827\pi\)
0.718504 + 0.695523i \(0.244827\pi\)
\(380\) 8.91973 + 5.14981i 0.457572 + 0.264180i
\(381\) 15.5559 6.22804i 0.796954 0.319072i
\(382\) −2.93779 5.08841i −0.150311 0.260345i
\(383\) 9.67462 16.7569i 0.494350 0.856239i −0.505629 0.862751i \(-0.668739\pi\)
0.999979 + 0.00651193i \(0.00207283\pi\)
\(384\) −11.3553 1.63239i −0.579471 0.0833025i
\(385\) 32.2049 28.2714i 1.64131 1.44084i
\(386\) 5.10330i 0.259751i
\(387\) 11.7069 11.1635i 0.595096 0.567472i
\(388\) −2.20863 + 1.27515i −0.112126 + 0.0647361i
\(389\) −17.5987 + 10.1606i −0.892291 + 0.515165i −0.874691 0.484680i \(-0.838936\pi\)
−0.0176001 + 0.999845i \(0.505603\pi\)
\(390\) 6.99303 + 5.49913i 0.354106 + 0.278459i
\(391\) 2.51542i 0.127210i
\(392\) −21.0987 2.75626i −1.06565 0.139212i
\(393\) −5.42415 + 37.7316i −0.273612 + 1.90331i
\(394\) 7.41801 12.8484i 0.373714 0.647292i
\(395\) −1.87732 3.25162i −0.0944583 0.163607i
\(396\) −4.78016 + 1.15987i −0.240212 + 0.0582859i
\(397\) 17.1380 + 9.89460i 0.860129 + 0.496596i 0.864056 0.503396i \(-0.167916\pi\)
−0.00392632 + 0.999992i \(0.501250\pi\)
\(398\) −6.85312 −0.343516
\(399\) 15.3196 + 23.5020i 0.766940 + 1.17657i
\(400\) −34.9098 −1.74549
\(401\) 13.3689 + 7.71851i 0.667609 + 0.385444i 0.795170 0.606387i \(-0.207382\pi\)
−0.127561 + 0.991831i \(0.540715\pi\)
\(402\) −3.42203 8.54729i −0.170676 0.426300i
\(403\) −2.32505 4.02710i −0.115819 0.200604i
\(404\) −3.10785 + 5.38295i −0.154621 + 0.267812i
\(405\) 30.8679 + 19.8338i 1.53384 + 0.985551i
\(406\) 5.82077 1.16085i 0.288880 0.0576118i
\(407\) 23.2619i 1.15305i
\(408\) −17.0840 + 21.7251i −0.845786 + 1.07555i
\(409\) −33.7777 + 19.5016i −1.67020 + 0.964290i −0.702675 + 0.711511i \(0.748011\pi\)
−0.967524 + 0.252779i \(0.918656\pi\)
\(410\) −5.16250 + 2.98057i −0.254958 + 0.147200i
\(411\) −12.9778 + 16.5034i −0.640149 + 0.814052i
\(412\) 0.762458i 0.0375636i
\(413\) 0.609076 1.79723i 0.0299707 0.0884358i
\(414\) −1.73781 0.510184i −0.0854086 0.0250742i
\(415\) 13.9726 24.2012i 0.685887 1.18799i
\(416\) −1.14716 1.98694i −0.0562442 0.0974178i
\(417\) 11.4713 + 28.6521i 0.561752 + 1.40310i
\(418\) −26.5383 15.3219i −1.29803 0.749417i
\(419\) −25.2894 −1.23547 −0.617733 0.786388i \(-0.711949\pi\)
−0.617733 + 0.786388i \(0.711949\pi\)
\(420\) 6.87547 + 3.48842i 0.335489 + 0.170217i
\(421\) −1.86934 −0.0911058 −0.0455529 0.998962i \(-0.514505\pi\)
−0.0455529 + 0.998962i \(0.514505\pi\)
\(422\) 4.22073 + 2.43684i 0.205462 + 0.118623i
\(423\) −0.867503 3.57522i −0.0421794 0.173833i
\(424\) −1.83626 3.18050i −0.0891767 0.154459i
\(425\) −30.4987 + 52.8253i −1.47940 + 2.56240i
\(426\) 0.845291 5.88004i 0.0409545 0.284889i
\(427\) −0.311056 1.55971i −0.0150531 0.0754798i
\(428\) 5.07231i 0.245179i
\(429\) 5.40933 + 4.25375i 0.261165 + 0.205373i
\(430\) 23.9848 13.8476i 1.15665 0.667792i
\(431\) 28.9918 16.7385i 1.39649 0.806263i 0.402465 0.915435i \(-0.368153\pi\)
0.994023 + 0.109172i \(0.0348201\pi\)
\(432\) 9.05604 + 12.7157i 0.435709 + 0.611783i
\(433\) 13.6296i 0.654998i −0.944851 0.327499i \(-0.893794\pi\)
0.944851 0.327499i \(-0.106206\pi\)
\(434\) 10.2259 + 11.6487i 0.490860 + 0.559155i
\(435\) −12.4452 1.78907i −0.596702 0.0857795i
\(436\) 0.519151 0.899196i 0.0248628 0.0430637i
\(437\) 1.46676 + 2.54050i 0.0701646 + 0.121529i
\(438\) 21.1839 8.48130i 1.01221 0.405252i
\(439\) −31.3548 18.1027i −1.49648 0.863994i −0.496490 0.868042i \(-0.665378\pi\)
−0.999992 + 0.00404823i \(0.998711\pi\)
\(440\) −49.2345 −2.34716
\(441\) 12.4016 + 16.9470i 0.590551 + 0.807001i
\(442\) 6.61365 0.314579
\(443\) 11.5323 + 6.65820i 0.547918 + 0.316341i 0.748282 0.663381i \(-0.230879\pi\)
−0.200364 + 0.979722i \(0.564212\pi\)
\(444\) 3.88526 1.55552i 0.184386 0.0738217i
\(445\) 7.09886 + 12.2956i 0.336518 + 0.582867i
\(446\) 7.31470 12.6694i 0.346361 0.599915i
\(447\) 31.4069 + 4.51494i 1.48550 + 0.213549i
\(448\) 15.5332 + 17.6944i 0.733876 + 0.835982i
\(449\) 7.77459i 0.366906i −0.983029 0.183453i \(-0.941273\pi\)
0.983029 0.183453i \(-0.0587274\pi\)
\(450\) 30.3091 + 31.7845i 1.42878 + 1.49834i
\(451\) −3.99336 + 2.30557i −0.188040 + 0.108565i
\(452\) −4.09961 + 2.36691i −0.192830 + 0.111330i
\(453\) −30.7159 24.1542i −1.44316 1.13486i
\(454\) 29.3677i 1.37830i
\(455\) −2.10954 10.5778i −0.0988968 0.495893i
\(456\) 4.58632 31.9035i 0.214774 1.49402i
\(457\) −4.36016 + 7.55202i −0.203960 + 0.353269i −0.949801 0.312855i \(-0.898715\pi\)
0.745841 + 0.666124i \(0.232048\pi\)
\(458\) −5.75884 9.97460i −0.269093 0.466083i
\(459\) 27.1530 2.59459i 1.26739 0.121105i
\(460\) 0.698178 + 0.403093i 0.0325527 + 0.0187943i
\(461\) −40.3037 −1.87713 −0.938566 0.345100i \(-0.887845\pi\)
−0.938566 + 0.345100i \(0.887845\pi\)
\(462\) −20.4561 10.3789i −0.951705 0.482868i
\(463\) −33.4254 −1.55341 −0.776706 0.629864i \(-0.783111\pi\)
−0.776706 + 0.629864i \(0.783111\pi\)
\(464\) −4.63282 2.67476i −0.215073 0.124173i
\(465\) −12.2042 30.4827i −0.565956 1.41360i
\(466\) −5.35243 9.27067i −0.247946 0.429456i
\(467\) −2.15646 + 3.73509i −0.0997888 + 0.172839i −0.911597 0.411085i \(-0.865150\pi\)
0.811808 + 0.583924i \(0.198483\pi\)
\(468\) −0.348750 + 1.18792i −0.0161210 + 0.0549118i
\(469\) −3.58285 + 10.5721i −0.165441 + 0.488173i
\(470\) 6.29867i 0.290536i
\(471\) 14.1710 18.0207i 0.652964 0.830349i
\(472\) −1.88810 + 1.09010i −0.0869070 + 0.0501758i
\(473\) 18.5530 10.7116i 0.853068 0.492519i
\(474\) −1.24232 + 1.57981i −0.0570618 + 0.0725633i
\(475\) 71.1359i 3.26394i
\(476\) 5.62095 1.12100i 0.257636 0.0513807i
\(477\) −1.02100 + 3.47777i −0.0467484 + 0.159236i
\(478\) −7.00349 + 12.1304i −0.320332 + 0.554832i
\(479\) 11.5911 + 20.0763i 0.529610 + 0.917312i 0.999403 + 0.0345352i \(0.0109951\pi\)
−0.469793 + 0.882776i \(0.655672\pi\)
\(480\) −6.02145 15.0399i −0.274841 0.686475i
\(481\) −5.07053 2.92747i −0.231196 0.133481i
\(482\) 24.4922 1.11559
\(483\) 1.19912 + 1.83958i 0.0545618 + 0.0837039i
\(484\) −1.97474 −0.0897610
\(485\) 21.8181 + 12.5967i 0.990709 + 0.571986i
\(486\) 3.71474 19.2852i 0.168504 0.874793i
\(487\) 14.3111 + 24.7875i 0.648496 + 1.12323i 0.983482 + 0.181005i \(0.0579350\pi\)
−0.334986 + 0.942223i \(0.608732\pi\)
\(488\) −0.913624 + 1.58244i −0.0413578 + 0.0716338i
\(489\) −2.35587 + 16.3879i −0.106536 + 0.741088i
\(490\) 13.7921 + 33.2031i 0.623062 + 1.49996i
\(491\) 32.2316i 1.45459i 0.686325 + 0.727295i \(0.259223\pi\)
−0.686325 + 0.727295i \(0.740777\pi\)
\(492\) −0.652115 0.512806i −0.0293996 0.0231191i
\(493\) −8.09486 + 4.67357i −0.364574 + 0.210487i
\(494\) −6.67958 + 3.85646i −0.300528 + 0.173510i
\(495\) 33.5334 + 35.1657i 1.50721 + 1.58058i
\(496\) 13.9704i 0.627288i
\(497\) −5.41270 + 4.75160i −0.242793 + 0.213138i
\(498\) −14.8062 2.12848i −0.663481 0.0953794i
\(499\) −3.57473 + 6.19161i −0.160027 + 0.277174i −0.934878 0.354969i \(-0.884491\pi\)
0.774851 + 0.632144i \(0.217825\pi\)
\(500\) −5.56870 9.64528i −0.249040 0.431350i
\(501\) −7.24834 + 2.90198i −0.323832 + 0.129651i
\(502\) −20.0180 11.5574i −0.893448 0.515832i
\(503\) 14.5753 0.649881 0.324940 0.945735i \(-0.394656\pi\)
0.324940 + 0.945735i \(0.394656\pi\)
\(504\) 2.13742 24.0321i 0.0952081 1.07047i
\(505\) 61.4021 2.73236
\(506\) −2.07724 1.19930i −0.0923447 0.0533152i
\(507\) 1.60797 0.643773i 0.0714123 0.0285910i
\(508\) 1.99622 + 3.45756i 0.0885680 + 0.153404i
\(509\) −12.0120 + 20.8054i −0.532423 + 0.922184i 0.466860 + 0.884331i \(0.345385\pi\)
−0.999283 + 0.0378526i \(0.987948\pi\)
\(510\) 46.2247 + 6.64508i 2.04686 + 0.294249i
\(511\) −26.2023 8.87987i −1.15912 0.392822i
\(512\) 25.1574i 1.11181i
\(513\) −25.9108 + 18.4535i −1.14399 + 0.814743i
\(514\) −10.8614 + 6.27082i −0.479075 + 0.276594i
\(515\) 6.52289 3.76599i 0.287433 0.165950i
\(516\) 3.02970 + 2.38248i 0.133375 + 0.104883i
\(517\) 4.87222i 0.214280i
\(518\) 18.4839 + 6.26415i 0.812137 + 0.275231i
\(519\) 3.53945 24.6212i 0.155365 1.08075i
\(520\) −6.19607 + 10.7319i −0.271716 + 0.470625i
\(521\) −16.0382 27.7789i −0.702645 1.21702i −0.967535 0.252738i \(-0.918669\pi\)
0.264890 0.964279i \(-0.414664\pi\)
\(522\) 1.58697 + 6.54032i 0.0694596 + 0.286262i
\(523\) 12.4987 + 7.21615i 0.546532 + 0.315540i 0.747722 0.664012i \(-0.231148\pi\)
−0.201190 + 0.979552i \(0.564481\pi\)
\(524\) −9.08253 −0.396772
\(525\) −2.87783 53.1712i −0.125599 2.32058i
\(526\) 28.1778 1.22861
\(527\) −21.1399 12.2051i −0.920867 0.531663i
\(528\) 7.68426 + 19.1932i 0.334415 + 0.835275i
\(529\) −11.3852 19.7197i −0.495008 0.857380i
\(530\) −3.10275 + 5.37413i −0.134775 + 0.233437i
\(531\) 2.06458 + 0.606117i 0.0895951 + 0.0263032i
\(532\) −5.02332 + 4.40978i −0.217789 + 0.191188i
\(533\) 1.16060i 0.0502714i
\(534\) 4.69770 5.97388i 0.203289 0.258515i
\(535\) −43.3941 + 25.0536i −1.87609 + 1.08316i
\(536\) 11.1066 6.41242i 0.479734 0.276975i
\(537\) −2.12277 + 2.69945i −0.0916044 + 0.116490i
\(538\) 35.7578i 1.54163i
\(539\) 10.6686 + 25.6837i 0.459529 + 1.10627i
\(540\) −3.63108 + 7.95233i −0.156257 + 0.342214i
\(541\) −2.59499 + 4.49465i −0.111567 + 0.193240i −0.916402 0.400258i \(-0.868920\pi\)
0.804835 + 0.593498i \(0.202254\pi\)
\(542\) −4.19522 7.26634i −0.180200 0.312116i
\(543\) 0.567748 + 1.41808i 0.0243644 + 0.0608555i
\(544\) −10.4303 6.02191i −0.447193 0.258187i
\(545\) −10.2569 −0.439359
\(546\) −4.83670 + 3.15277i −0.206992 + 0.134926i
\(547\) −24.5746 −1.05073 −0.525367 0.850876i \(-0.676072\pi\)
−0.525367 + 0.850876i \(0.676072\pi\)
\(548\) −4.33215 2.50117i −0.185060 0.106845i
\(549\) 1.75252 0.425238i 0.0747959 0.0181487i
\(550\) 29.0822 + 50.3718i 1.24007 + 2.14786i
\(551\) 5.45037 9.44032i 0.232194 0.402171i
\(552\) 0.358987 2.49720i 0.0152795 0.106288i
\(553\) 2.38965 0.476572i 0.101618 0.0202659i
\(554\) 11.3177i 0.480842i
\(555\) −32.4980 25.5555i −1.37946 1.08477i
\(556\) −6.36840 + 3.67680i −0.270080 + 0.155931i
\(557\) −3.07124 + 1.77318i −0.130133 + 0.0751322i −0.563653 0.826012i \(-0.690605\pi\)
0.433520 + 0.901144i \(0.357271\pi\)
\(558\) −12.7197 + 12.1292i −0.538466 + 0.513471i
\(559\) 5.39213i 0.228063i
\(560\) 10.4008 30.6902i 0.439516 1.29690i
\(561\) 35.7563 + 5.14018i 1.50963 + 0.217019i
\(562\) 9.93505 17.2080i 0.419085 0.725876i
\(563\) −5.07878 8.79670i −0.214045 0.370737i 0.738932 0.673780i \(-0.235331\pi\)
−0.952977 + 0.303044i \(0.901997\pi\)
\(564\) 0.813768 0.325804i 0.0342658 0.0137188i
\(565\) 40.4983 + 23.3817i 1.70378 + 0.983675i
\(566\) −17.1173 −0.719492
\(567\) −18.6207 + 14.8415i −0.781996 + 0.623284i
\(568\) 8.27489 0.347207
\(569\) −9.05473 5.22775i −0.379594 0.219159i 0.298048 0.954551i \(-0.403665\pi\)
−0.677642 + 0.735392i \(0.736998\pi\)
\(570\) −50.5603 + 20.2425i −2.11774 + 0.847867i
\(571\) 15.8385 + 27.4332i 0.662823 + 1.14804i 0.979871 + 0.199633i \(0.0639750\pi\)
−0.317048 + 0.948409i \(0.602692\pi\)
\(572\) −0.819811 + 1.41995i −0.0342780 + 0.0593713i
\(573\) −7.99537 1.14938i −0.334011 0.0480162i
\(574\) −0.756640 3.79398i −0.0315816 0.158358i
\(575\) 5.56805i 0.232204i
\(576\) −19.3212 + 18.4243i −0.805050 + 0.767681i
\(577\) 4.94580 2.85546i 0.205896 0.118874i −0.393507 0.919322i \(-0.628738\pi\)
0.599403 + 0.800448i \(0.295405\pi\)
\(578\) 11.5178 6.64980i 0.479077 0.276595i
\(579\) −5.51493 4.33680i −0.229193 0.180231i
\(580\) 2.99573i 0.124391i
\(581\) 11.9647 + 13.6294i 0.496380 + 0.565443i
\(582\) 1.91888 13.3482i 0.0795403 0.553301i
\(583\) −2.40008 + 4.15706i −0.0994011 + 0.172168i
\(584\) 15.8928 + 27.5271i 0.657649 + 1.13908i
\(585\) 11.8854 2.88391i 0.491400 0.119235i
\(586\) 2.52779 + 1.45942i 0.104422 + 0.0602881i
\(587\) −20.5674 −0.848908 −0.424454 0.905450i \(-0.639534\pi\)
−0.424454 + 0.905450i \(0.639534\pi\)
\(588\) −3.57633 + 3.49935i −0.147485 + 0.144311i
\(589\) 28.4675 1.17298
\(590\) 3.19035 + 1.84195i 0.131345 + 0.0758319i
\(591\) −7.58087 18.9349i −0.311835 0.778878i
\(592\) −8.79505 15.2335i −0.361474 0.626092i
\(593\) −15.9774 + 27.6736i −0.656112 + 1.13642i 0.325502 + 0.945541i \(0.394467\pi\)
−0.981614 + 0.190878i \(0.938867\pi\)
\(594\) 10.8033 23.6600i 0.443265 0.970783i
\(595\) −37.3537 42.5508i −1.53135 1.74441i
\(596\) 7.56009i 0.309673i
\(597\) −5.82379 + 7.40588i −0.238352 + 0.303102i
\(598\) −0.522834 + 0.301858i −0.0213803 + 0.0123439i
\(599\) 21.5906 12.4653i 0.882169 0.509320i 0.0107957 0.999942i \(-0.496564\pi\)
0.871373 + 0.490621i \(0.163230\pi\)
\(600\) −37.8166 + 48.0899i −1.54386 + 1.96326i
\(601\) 1.19841i 0.0488843i 0.999701 + 0.0244421i \(0.00778095\pi\)
−0.999701 + 0.0244421i \(0.992219\pi\)
\(602\) 3.51533 + 17.6267i 0.143274 + 0.718411i
\(603\) −12.1448 3.56545i −0.494573 0.145196i
\(604\) 4.65515 8.06295i 0.189415 0.328077i
\(605\) 9.75381 + 16.8941i 0.396549 + 0.686842i
\(606\) −12.2161 30.5125i −0.496246 1.23949i
\(607\) 20.3275 + 11.7361i 0.825067 + 0.476353i 0.852161 0.523280i \(-0.175292\pi\)
−0.0270936 + 0.999633i \(0.508625\pi\)
\(608\) 14.0456 0.569626
\(609\) 3.69202 7.27675i 0.149608 0.294869i
\(610\) 3.08752 0.125010
\(611\) −1.06202 0.613160i −0.0429649 0.0248058i
\(612\) 1.53249 + 6.31580i 0.0619472 + 0.255301i
\(613\) −9.87375 17.1018i −0.398797 0.690737i 0.594781 0.803888i \(-0.297239\pi\)
−0.993578 + 0.113151i \(0.963906\pi\)
\(614\) 5.27868 9.14295i 0.213030 0.368979i
\(615\) −1.16612 + 8.11180i −0.0470225 + 0.327099i
\(616\) 10.2557 30.2619i 0.413213 1.21929i
\(617\) 14.9308i 0.601092i −0.953767 0.300546i \(-0.902831\pi\)
0.953767 0.300546i \(-0.0971688\pi\)
\(618\) −3.16918 2.49216i −0.127483 0.100249i
\(619\) −5.20254 + 3.00369i −0.209108 + 0.120728i −0.600897 0.799327i \(-0.705190\pi\)
0.391789 + 0.920055i \(0.371856\pi\)
\(620\) 6.77527 3.91170i 0.272101 0.157098i
\(621\) −2.02813 + 1.44442i −0.0813859 + 0.0579626i
\(622\) 1.52489i 0.0611426i
\(623\) −9.03618 + 1.80210i −0.362027 + 0.0721996i
\(624\) 5.15068 + 0.740442i 0.206192 + 0.0296414i
\(625\) −25.9611 + 44.9660i −1.03844 + 1.79864i
\(626\) 12.9775 + 22.4776i 0.518684 + 0.898387i
\(627\) −39.1100 + 15.6583i −1.56190 + 0.625331i
\(628\) 4.73044 + 2.73112i 0.188765 + 0.108984i
\(629\) −30.7349 −1.22548
\(630\) −36.9728 + 17.1759i −1.47303 + 0.684305i
\(631\) −37.2180 −1.48162 −0.740812 0.671712i \(-0.765559\pi\)
−0.740812 + 0.671712i \(0.765559\pi\)
\(632\) −2.42447 1.39977i −0.0964404 0.0556799i
\(633\) 6.22017 2.49034i 0.247230 0.0989820i
\(634\) −17.4201 30.1725i −0.691841 1.19830i
\(635\) 19.7198 34.1557i 0.782557 1.35543i
\(636\) −0.854813 0.122885i −0.0338955 0.00487269i
\(637\) 6.94102 + 0.906749i 0.275013 + 0.0359267i
\(638\) 8.91300i 0.352869i
\(639\) −5.63599 5.91034i −0.222956 0.233809i
\(640\) −23.3842 + 13.5009i −0.924343 + 0.533670i
\(641\) 25.8021 14.8968i 1.01912 0.588389i 0.105271 0.994444i \(-0.466429\pi\)
0.913849 + 0.406054i \(0.133096\pi\)
\(642\) 21.0832 + 16.5793i 0.832089 + 0.654333i
\(643\) 3.08853i 0.121800i 0.998144 + 0.0608998i \(0.0193970\pi\)
−0.998144 + 0.0608998i \(0.980603\pi\)
\(644\) −0.393193 + 0.345169i −0.0154940 + 0.0136015i
\(645\) 5.41775 37.6871i 0.213324 1.48393i
\(646\) −20.2441 + 35.0638i −0.796493 + 1.37957i
\(647\) 3.72461 + 6.45121i 0.146430 + 0.253623i 0.929905 0.367799i \(-0.119889\pi\)
−0.783476 + 0.621422i \(0.786555\pi\)
\(648\) 27.3265 + 1.29934i 1.07349 + 0.0510428i
\(649\) 2.46784 + 1.42481i 0.0968712 + 0.0559286i
\(650\) 14.6397 0.574217
\(651\) 21.2783 1.15166i 0.833961 0.0451373i
\(652\) −3.94480 −0.154490
\(653\) 36.7497 + 21.2175i 1.43813 + 0.830304i 0.997720 0.0674935i \(-0.0215002\pi\)
0.440409 + 0.897797i \(0.354834\pi\)
\(654\) 2.04065 + 5.09697i 0.0797956 + 0.199307i
\(655\) 44.8612 + 77.7018i 1.75287 + 3.03606i
\(656\) −1.74341 + 3.01968i −0.0680688 + 0.117899i
\(657\) 8.83674 30.1000i 0.344754 1.17431i
\(658\) 3.87147 + 1.31203i 0.150925 + 0.0511482i
\(659\) 9.94881i 0.387551i −0.981046 0.193775i \(-0.937927\pi\)
0.981046 0.193775i \(-0.0620733\pi\)
\(660\) −7.15659 + 9.10076i −0.278570 + 0.354247i
\(661\) 0.982661 0.567340i 0.0382211 0.0220670i −0.480768 0.876848i \(-0.659642\pi\)
0.518989 + 0.854781i \(0.326309\pi\)
\(662\) −24.6551 + 14.2346i −0.958246 + 0.553244i
\(663\) 5.62029 7.14710i 0.218274 0.277570i
\(664\) 20.8365i 0.808614i
\(665\) 62.5376 + 21.1938i 2.42511 + 0.821862i
\(666\) −6.23373 + 21.2335i −0.241552 + 0.822783i
\(667\) 0.426620 0.738927i 0.0165188 0.0286114i
\(668\) −0.930148 1.61106i −0.0359885 0.0623339i
\(669\) −7.47529 18.6712i −0.289012 0.721870i
\(670\) −18.7670 10.8352i −0.725034 0.418599i
\(671\) 2.38830 0.0921992
\(672\) 10.4985 0.568222i 0.404990 0.0219197i
\(673\) −23.1761 −0.893371 −0.446686 0.894691i \(-0.647396\pi\)
−0.446686 + 0.894691i \(0.647396\pi\)
\(674\) 15.9683 + 9.21930i 0.615076 + 0.355114i
\(675\) 60.1049 5.74328i 2.31344 0.221059i
\(676\) 0.206343 + 0.357397i 0.00793628 + 0.0137460i
\(677\) 20.0889 34.7951i 0.772081 1.33728i −0.164340 0.986404i \(-0.552549\pi\)
0.936421 0.350880i \(-0.114117\pi\)
\(678\) 3.56179 24.7766i 0.136790 0.951541i
\(679\) −12.2873 + 10.7865i −0.471543 + 0.413949i
\(680\) 65.0513i 2.49460i
\(681\) −31.7365 24.9567i −1.21614 0.956344i
\(682\) −20.1580 + 11.6382i −0.771890 + 0.445651i
\(683\) 2.75457 1.59035i 0.105401 0.0608532i −0.446373 0.894847i \(-0.647285\pi\)
0.551774 + 0.833994i \(0.313951\pi\)
\(684\) −5.23055 5.48516i −0.199995 0.209730i
\(685\) 49.4159i 1.88809i
\(686\) −23.2812 + 1.56097i −0.888878 + 0.0595981i
\(687\) −15.6730 2.25309i −0.597963 0.0859608i
\(688\) 8.09983 14.0293i 0.308803 0.534863i
\(689\) 0.604090 + 1.04632i 0.0230140 + 0.0398614i
\(690\) −3.95753 + 1.58446i −0.150661 + 0.0603192i
\(691\) −5.82249 3.36162i −0.221498 0.127882i 0.385146 0.922856i \(-0.374151\pi\)
−0.606644 + 0.794974i \(0.707485\pi\)
\(692\) 5.92668 0.225298
\(693\) −28.5996 + 13.2861i −1.08641 + 0.504698i
\(694\) −15.5814 −0.591464
\(695\) 62.9107 + 36.3215i 2.38634 + 1.37775i
\(696\) −8.70319 + 3.48445i −0.329893 + 0.132078i
\(697\) 3.04624 + 5.27624i 0.115384 + 0.199852i
\(698\) 16.8230 29.1383i 0.636760 1.10290i
\(699\) −14.5669 2.09409i −0.550972 0.0792056i
\(700\) 12.4423 2.48139i 0.470276 0.0937879i
\(701\) 26.9949i 1.01959i 0.860297 + 0.509793i \(0.170278\pi\)
−0.860297 + 0.509793i \(0.829722\pi\)
\(702\) −3.79773 5.33242i −0.143336 0.201259i
\(703\) 31.0413 17.9217i 1.17075 0.675930i
\(704\) −30.6201 + 17.6785i −1.15404 + 0.666284i
\(705\) −6.80671 5.35262i −0.256356 0.201591i
\(706\) 38.6472i 1.45451i
\(707\) −12.7902 + 37.7407i −0.481026 + 1.41938i
\(708\) −0.0729504 + 0.507460i −0.00274165 + 0.0190715i
\(709\) −10.2526 + 17.7581i −0.385046 + 0.666919i −0.991776 0.127989i \(-0.959148\pi\)
0.606730 + 0.794908i \(0.292481\pi\)
\(710\) −6.99110 12.1089i −0.262371 0.454440i
\(711\) 0.651511 + 2.68506i 0.0244336 + 0.100697i
\(712\) 9.16786 + 5.29306i 0.343580 + 0.198366i
\(713\) 2.22825 0.0834486
\(714\) −13.7131 + 27.0277i −0.513200 + 1.01149i
\(715\) 16.1971 0.605738
\(716\) −0.708607 0.409115i −0.0264819 0.0152893i
\(717\) 7.15725 + 17.8768i 0.267292 + 0.667622i
\(718\) 17.6443 + 30.5608i 0.658480 + 1.14052i
\(719\) −17.7125 + 30.6790i −0.660566 + 1.14413i 0.319902 + 0.947451i \(0.396350\pi\)
−0.980467 + 0.196682i \(0.936983\pi\)
\(720\) 35.2556 + 10.3503i 1.31390 + 0.385734i
\(721\) 0.956026 + 4.79375i 0.0356043 + 0.178529i
\(722\) 23.2799i 0.866388i
\(723\) 20.8135 26.4677i 0.774062 0.984344i
\(724\) −0.315191 + 0.181975i −0.0117140 + 0.00676306i
\(725\) −17.9185 + 10.3452i −0.665476 + 0.384213i
\(726\) 6.45462 8.20808i 0.239553 0.304630i
\(727\) 4.04100i 0.149873i 0.997188 + 0.0749363i \(0.0238753\pi\)
−0.997188 + 0.0749363i \(0.976125\pi\)
\(728\) −5.30569 6.04389i −0.196642 0.224001i
\(729\) −17.6839 20.4029i −0.654959 0.755664i
\(730\) 26.8543 46.5130i 0.993922 1.72152i
\(731\) −14.1527 24.5132i −0.523457 0.906654i
\(732\) 0.159705 + 0.398898i 0.00590286 + 0.0147437i
\(733\) −0.796258 0.459720i −0.0294105 0.0169801i 0.485223 0.874391i \(-0.338739\pi\)
−0.514633 + 0.857410i \(0.672072\pi\)
\(734\) −12.1246 −0.447528
\(735\) 47.6017 + 13.3115i 1.75582 + 0.491004i
\(736\) 1.09940 0.0405245
\(737\) −14.5169 8.38134i −0.534737 0.308731i
\(738\) 4.26299 1.03439i 0.156923 0.0380763i
\(739\) −25.9426 44.9339i −0.954313 1.65292i −0.735932 0.677056i \(-0.763256\pi\)
−0.218382 0.975863i \(-0.570078\pi\)
\(740\) 4.92523 8.53075i 0.181055 0.313597i
\(741\) −1.50880 + 10.4956i −0.0554272 + 0.385564i
\(742\) −2.65689 3.02655i −0.0975373 0.111108i
\(743\) 13.6972i 0.502502i −0.967922 0.251251i \(-0.919158\pi\)
0.967922 0.251251i \(-0.0808420\pi\)
\(744\) −19.2448 15.1336i −0.705550 0.554826i
\(745\) 64.6772 37.3414i 2.36959 1.36808i
\(746\) −38.9456 + 22.4853i −1.42590 + 0.823244i
\(747\) −14.8825 + 14.1916i −0.544521 + 0.519245i
\(748\) 8.60703i 0.314704i
\(749\) −6.36004 31.8908i −0.232391 1.16526i
\(750\) 58.2927 + 8.37993i 2.12855 + 0.305992i
\(751\) −12.1596 + 21.0610i −0.443710 + 0.768528i −0.997961 0.0638215i \(-0.979671\pi\)
0.554252 + 0.832349i \(0.313004\pi\)
\(752\) −1.84213 3.19066i −0.0671754 0.116351i
\(753\) −29.5010 + 11.8111i −1.07507 + 0.430422i
\(754\) 1.94281 + 1.12168i 0.0707531 + 0.0408493i
\(755\) −91.9724 −3.34722
\(756\) −4.13152 3.88833i −0.150262 0.141417i
\(757\) −0.120656 −0.00438531 −0.00219266 0.999998i \(-0.500698\pi\)
−0.00219266 + 0.999998i \(0.500698\pi\)
\(758\) −30.5239 17.6230i −1.10868 0.640097i
\(759\) −3.06127 + 1.22563i −0.111117 + 0.0444874i
\(760\) −37.9318 65.6998i −1.37593 2.38318i
\(761\) 17.0379 29.5104i 0.617622 1.06975i −0.372297 0.928114i \(-0.621430\pi\)
0.989918 0.141639i \(-0.0452371\pi\)
\(762\) −20.8963 3.00397i −0.756992 0.108822i
\(763\) 2.13654 6.30440i 0.0773481 0.228235i
\(764\) 1.92460i 0.0696295i
\(765\) 46.4628 44.3061i 1.67987 1.60189i
\(766\) −21.1118 + 12.1889i −0.762801 + 0.440404i
\(767\) 0.621146 0.358619i 0.0224283 0.0129490i
\(768\) −12.8714 10.1217i −0.464455 0.365235i
\(769\) 48.2581i 1.74023i 0.492849 + 0.870115i \(0.335956\pi\)
−0.492849 + 0.870115i \(0.664044\pi\)
\(770\) −52.9479 + 10.5595i −1.90811 + 0.380538i
\(771\) −2.45340 + 17.0664i −0.0883569 + 0.614631i
\(772\) 0.835815 1.44767i 0.0300816 0.0521029i
\(773\) −16.0465 27.7933i −0.577152 0.999656i −0.995804 0.0915095i \(-0.970831\pi\)
0.418653 0.908146i \(-0.362503\pi\)
\(774\) −19.8057 + 4.80572i −0.711901 + 0.172738i
\(775\) −46.7944 27.0168i −1.68091 0.970471i